TSTP Solution File: HWV040_3 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV040_3 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Sep 17 02:11:28 EDT 2022
% Result : Unsatisfiable 23.86s 15.59s
% Output : Proof 27.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : HWV040_3 : TPTP v8.1.0. Released v5.3.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 31 22:34:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.35 Usage: tptp [options] [-file:]file
% 0.12/0.35 -h, -? prints this message.
% 0.12/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.35 -m, -model generate model.
% 0.12/0.35 -p, -proof generate proof.
% 0.12/0.35 -c, -core generate unsat core of named formulas.
% 0.12/0.35 -st, -statistics display statistics.
% 0.12/0.35 -t:timeout set timeout (in second).
% 0.12/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.35 -<param>:<value> configuration parameter and value.
% 0.12/0.35 -o:<output-file> file to place output in.
% 23.86/15.59 % SZS status Unsatisfiable
% 23.86/15.59 % SZS output start Proof
% 23.86/15.59 tff(v205_type, type, (
% 23.86/15.59 v205: state_type > $o)).
% 23.86/15.59 tff(sK0_VarCurr_type, type, (
% 23.86/15.59 sK0_VarCurr: state_type)).
% 23.86/15.59 tff(v202_type, type, (
% 23.86/15.59 v202: state_type > $o)).
% 23.86/15.59 tff(v203_type, type, (
% 23.86/15.59 v203: state_type > $o)).
% 23.86/15.59 tff(v185_type, type, (
% 23.86/15.59 v185: state_type > $o)).
% 23.86/15.59 tff(v1_type, type, (
% 23.86/15.59 v1: state_type > $o)).
% 23.86/15.59 tff(v192_type, type, (
% 23.86/15.59 v192: state_type > $o)).
% 23.86/15.59 tff(constB17_type, type, (
% 23.86/15.59 constB17: state_type)).
% 23.86/15.59 tff(constB163_type, type, (
% 23.86/15.59 constB163: state_type)).
% 23.86/15.59 tff(v201_type, type, (
% 23.86/15.59 v201: state_type > $o)).
% 23.86/15.59 tff(constB14_type, type, (
% 23.86/15.59 constB14: state_type)).
% 23.86/15.59 tff(constB194_type, type, (
% 23.86/15.59 constB194: state_type)).
% 23.86/15.59 tff(constB188_type, type, (
% 23.86/15.59 constB188: state_type)).
% 23.86/15.59 tff(constB82_type, type, (
% 23.86/15.59 constB82: state_type)).
% 23.86/15.59 tff(constB26_type, type, (
% 23.86/15.59 constB26: state_type)).
% 23.86/15.59 tff(constB190_type, type, (
% 23.86/15.59 constB190: state_type)).
% 23.86/15.59 tff(constB80_type, type, (
% 23.86/15.59 constB80: state_type)).
% 23.86/15.59 tff(constB16_type, type, (
% 23.86/15.59 constB16: state_type)).
% 23.86/15.59 tff(constB12_type, type, (
% 23.86/15.59 constB12: state_type)).
% 23.86/15.59 tff(constB90_type, type, (
% 23.86/15.59 constB90: state_type)).
% 23.86/15.59 tff(constB0_type, type, (
% 23.86/15.59 constB0: state_type)).
% 23.86/15.59 tff(constB70_type, type, (
% 23.86/15.59 constB70: state_type)).
% 23.86/15.59 tff(constB176_type, type, (
% 23.86/15.59 constB176: state_type)).
% 23.86/15.59 tff(constB122_type, type, (
% 23.86/15.59 constB122: state_type)).
% 23.86/15.59 tff(constB142_type, type, (
% 23.86/15.59 constB142: state_type)).
% 23.86/15.59 tff(constB178_type, type, (
% 23.86/15.59 constB178: state_type)).
% 23.86/15.59 tff(constB164_type, type, (
% 23.86/15.59 constB164: state_type)).
% 23.86/15.59 tff(constB98_type, type, (
% 23.86/15.59 constB98: state_type)).
% 23.86/15.59 tff(constB124_type, type, (
% 23.86/15.59 constB124: state_type)).
% 23.86/15.59 tff(constB158_type, type, (
% 23.86/15.59 constB158: state_type)).
% 23.86/15.59 tff(constB8_type, type, (
% 23.86/15.59 constB8: state_type)).
% 23.86/15.59 tff(constB130_type, type, (
% 23.86/15.59 constB130: state_type)).
% 23.86/15.59 tff(constB34_type, type, (
% 23.86/15.59 constB34: state_type)).
% 23.86/15.59 tff(constB196_type, type, (
% 23.86/15.59 constB196: state_type)).
% 23.86/15.59 tff(constB162_type, type, (
% 23.86/15.59 constB162: state_type)).
% 23.86/15.59 tff(constB56_type, type, (
% 23.86/15.59 constB56: state_type)).
% 23.86/15.59 tff(constB166_type, type, (
% 23.86/15.59 constB166: state_type)).
% 23.86/15.59 tff(constB66_type, type, (
% 23.86/15.59 constB66: state_type)).
% 23.86/15.59 tff(constB76_type, type, (
% 23.86/15.59 constB76: state_type)).
% 23.86/15.59 tff(constB152_type, type, (
% 23.86/15.59 constB152: state_type)).
% 23.86/15.59 tff(constB6_type, type, (
% 23.86/15.59 constB6: state_type)).
% 23.86/15.59 tff(constB54_type, type, (
% 23.86/15.59 constB54: state_type)).
% 23.86/15.59 tff(constB10_type, type, (
% 23.86/15.59 constB10: state_type)).
% 23.86/15.59 tff(constB30_type, type, (
% 23.86/15.59 constB30: state_type)).
% 23.86/15.59 tff(constB92_type, type, (
% 23.86/15.59 constB92: state_type)).
% 23.86/15.59 tff(constB198_type, type, (
% 23.86/15.59 constB198: state_type)).
% 23.86/15.59 tff(constB136_type, type, (
% 23.86/15.59 constB136: state_type)).
% 23.86/15.59 tff(constB156_type, type, (
% 23.86/15.59 constB156: state_type)).
% 23.86/15.59 tff(constB100_type, type, (
% 23.86/15.59 constB100: state_type)).
% 23.86/15.59 tff(constB146_type, type, (
% 23.86/15.59 constB146: state_type)).
% 23.86/15.59 tff(constB50_type, type, (
% 23.86/15.59 constB50: state_type)).
% 23.86/15.59 tff(constB18_type, type, (
% 23.86/15.59 constB18: state_type)).
% 23.86/15.59 tff(constB170_type, type, (
% 23.86/15.59 constB170: state_type)).
% 23.86/15.59 tff(constB104_type, type, (
% 23.86/15.59 constB104: state_type)).
% 23.86/15.59 tff(constB94_type, type, (
% 23.86/15.59 constB94: state_type)).
% 23.86/15.59 tff(constB42_type, type, (
% 23.86/15.59 constB42: state_type)).
% 23.86/15.59 tff(constB48_type, type, (
% 23.86/15.59 constB48: state_type)).
% 23.86/15.59 tff(constB148_type, type, (
% 23.86/15.59 constB148: state_type)).
% 23.86/15.59 tff(constB28_type, type, (
% 23.86/15.59 constB28: state_type)).
% 23.86/15.59 tff(constB36_type, type, (
% 23.86/15.59 constB36: state_type)).
% 23.86/15.59 tff(constB134_type, type, (
% 23.86/15.59 constB134: state_type)).
% 23.86/15.59 tff(constB192_type, type, (
% 23.86/15.59 constB192: state_type)).
% 23.86/15.59 tff(constB140_type, type, (
% 23.86/15.59 constB140: state_type)).
% 23.86/15.59 tff(constB4_type, type, (
% 23.86/15.59 constB4: state_type)).
% 23.86/15.59 tff(constB114_type, type, (
% 23.86/15.59 constB114: state_type)).
% 23.86/15.59 tff(constB72_type, type, (
% 23.86/15.59 constB72: state_type)).
% 23.86/15.59 tff(constB32_type, type, (
% 23.86/15.59 constB32: state_type)).
% 23.86/15.59 tff(constB86_type, type, (
% 23.86/15.59 constB86: state_type)).
% 23.86/15.59 tff(constB60_type, type, (
% 23.86/15.59 constB60: state_type)).
% 23.86/15.59 tff(constB150_type, type, (
% 23.86/15.59 constB150: state_type)).
% 23.86/15.59 tff(constB64_type, type, (
% 23.86/15.59 constB64: state_type)).
% 23.86/15.59 tff(constB88_type, type, (
% 23.86/15.59 constB88: state_type)).
% 23.86/15.59 tff(constB160_type, type, (
% 23.86/15.59 constB160: state_type)).
% 23.86/15.59 tff(constB2_type, type, (
% 23.86/15.59 constB2: state_type)).
% 23.86/15.59 tff(constB138_type, type, (
% 23.86/15.59 constB138: state_type)).
% 23.86/15.59 tff(constB106_type, type, (
% 23.86/15.59 constB106: state_type)).
% 23.86/15.59 tff(constB102_type, type, (
% 23.86/15.59 constB102: state_type)).
% 23.86/15.59 tff(constB78_type, type, (
% 23.86/15.59 constB78: state_type)).
% 23.86/15.59 tff(constB112_type, type, (
% 23.86/15.59 constB112: state_type)).
% 23.86/15.59 tff(constB126_type, type, (
% 23.86/15.59 constB126: state_type)).
% 23.86/15.59 tff(constB46_type, type, (
% 23.86/15.59 constB46: state_type)).
% 23.86/15.59 tff(constB155_type, type, (
% 23.86/15.59 constB155: state_type)).
% 23.86/15.59 tff(v200_type, type, (
% 23.86/15.59 v200: state_type > $o)).
% 23.86/15.59 tff(v190_type, type, (
% 23.86/15.59 v190: state_type > $o)).
% 23.86/15.59 tff(constB154_type, type, (
% 23.86/15.59 constB154: state_type)).
% 23.86/15.59 tff(v196_type, type, (
% 23.86/15.59 v196: state_type > $o)).
% 23.86/15.59 tff(v182_type, type, (
% 23.86/15.59 v182: state_type > $o)).
% 23.86/15.59 tff(v180_type, type, (
% 23.86/15.59 v180: state_type > $o)).
% 23.86/15.59 tff(constB153_type, type, (
% 23.86/15.59 constB153: state_type)).
% 23.86/15.59 tff(v184_type, type, (
% 23.86/15.59 v184: state_type > $o)).
% 23.86/15.59 tff(v163_type, type, (
% 23.86/15.59 v163: state_type > $o)).
% 23.86/15.59 tff(v170_type, type, (
% 23.86/15.59 v170: state_type > $o)).
% 23.86/15.59 tff(v139_type, type, (
% 23.86/15.59 v139: state_type > $o)).
% 23.86/15.59 tff(v88_type, type, (
% 23.86/15.59 v88: ( state_type * bitindex_type ) > $o)).
% 23.86/15.59 tff(bitIndex2_type, type, (
% 23.86/15.59 bitIndex2: bitindex_type)).
% 23.86/15.59 tff(v90_type, type, (
% 23.86/15.59 v90: ( state_type * bitindex_type ) > $o)).
% 23.86/15.59 tff(v100_type, type, (
% 23.86/15.59 v100: state_type > $o)).
% 23.86/15.59 tff(v110_type, type, (
% 23.86/15.59 v110: state_type > $o)).
% 23.86/15.59 tff(v108_type, type, (
% 23.86/15.59 v108: state_type > $o)).
% 23.86/15.59 tff(constB151_type, type, (
% 23.86/15.59 constB151: state_type)).
% 23.86/15.59 tff(v112_type, type, (
% 23.86/15.59 v112: state_type > $o)).
% 23.86/15.59 tff(v113_type, type, (
% 23.86/15.59 v113: state_type > $o)).
% 23.86/15.59 tff(v114_type, type, (
% 23.86/15.59 v114: state_type > $o)).
% 23.86/15.59 tff(v115_type, type, (
% 23.86/15.59 v115: state_type > $o)).
% 23.86/15.59 tff(v116_type, type, (
% 23.86/15.59 v116: state_type > $o)).
% 23.86/15.59 tff(v122_type, type, (
% 23.86/15.59 v122: state_type > $o)).
% 23.86/15.59 tff(bitIndex1_type, type, (
% 23.86/15.59 bitIndex1: bitindex_type)).
% 23.86/15.59 tff(v129_type, type, (
% 23.86/15.59 v129: ( state_type * bitindex_type ) > $o)).
% 23.86/15.59 tff(v127_type, type, (
% 23.86/15.59 v127: ( state_type * bitindex_type ) > $o)).
% 23.86/15.59 tff(constB149_type, type, (
% 23.86/15.59 constB149: state_type)).
% 23.86/15.59 tff(v130_type, type, (
% 23.86/15.59 v130: ( state_type * bitindex_type ) > $o)).
% 23.86/15.59 tff(v121_type, type, (
% 23.86/15.59 v121: state_type > $o)).
% 23.86/15.59 tff(v120_type, type, (
% 23.86/15.59 v120: state_type > $o)).
% 23.86/15.59 tff(constB147_type, type, (
% 23.86/15.59 constB147: state_type)).
% 23.86/15.59 tff(constB145_type, type, (
% 23.86/15.59 constB145: state_type)).
% 23.86/15.59 tff(constB144_type, type, (
% 23.86/15.59 constB144: state_type)).
% 23.86/15.59 tff(constB143_type, type, (
% 23.86/15.59 constB143: state_type)).
% 23.86/15.59 tff(v123_type, type, (
% 23.86/15.59 v123: state_type > $o)).
% 23.86/15.59 tff(constB141_type, type, (
% 23.86/15.59 constB141: state_type)).
% 23.86/15.59 tff(constB139_type, type, (
% 23.86/15.59 constB139: state_type)).
% 23.86/15.59 tff(v117_type, type, (
% 23.86/15.59 v117: state_type > $o)).
% 23.86/15.59 tff(constB137_type, type, (
% 23.86/15.59 constB137: state_type)).
% 23.86/15.59 tff(v118_type, type, (
% 23.86/15.59 v118: state_type > $o)).
% 23.86/15.59 tff(constB135_type, type, (
% 23.86/15.59 constB135: state_type)).
% 23.86/15.59 tff(v125_type, type, (
% 23.86/15.59 v125: state_type > $o)).
% 23.86/15.59 tff(constB133_type, type, (
% 23.86/15.59 constB133: state_type)).
% 23.86/15.59 tff(constB132_type, type, (
% 23.86/15.59 constB132: state_type)).
% 23.86/15.59 tff(constB131_type, type, (
% 23.86/15.59 constB131: state_type)).
% 23.86/15.59 tff(constB129_type, type, (
% 23.86/15.59 constB129: state_type)).
% 23.86/15.59 tff(constB128_type, type, (
% 23.86/15.59 constB128: state_type)).
% 23.86/15.59 tff(constB127_type, type, (
% 23.86/15.59 constB127: state_type)).
% 23.86/15.59 tff(constB125_type, type, (
% 23.86/15.59 constB125: state_type)).
% 23.86/15.59 tff(constB123_type, type, (
% 23.86/15.59 constB123: state_type)).
% 23.86/15.59 tff(constB121_type, type, (
% 23.86/15.59 constB121: state_type)).
% 23.86/15.59 tff(v26_type, type, (
% 23.86/15.59 v26: state_type > $o)).
% 23.86/15.59 tff(constB120_type, type, (
% 23.86/15.59 constB120: state_type)).
% 23.86/15.59 tff(constB119_type, type, (
% 23.86/15.59 constB119: state_type)).
% 23.86/15.59 tff(constB118_type, type, (
% 23.86/15.59 constB118: state_type)).
% 23.86/15.59 tff(constB117_type, type, (
% 23.86/15.59 constB117: state_type)).
% 23.86/15.59 tff(constB116_type, type, (
% 23.86/15.59 constB116: state_type)).
% 23.86/15.59 tff(constB115_type, type, (
% 23.86/15.59 constB115: state_type)).
% 23.86/15.59 tff(constB113_type, type, (
% 23.86/15.59 constB113: state_type)).
% 23.86/15.59 tff(constB111_type, type, (
% 23.86/15.59 constB111: state_type)).
% 23.86/15.59 tff(constB110_type, type, (
% 23.86/15.59 constB110: state_type)).
% 23.86/15.59 tff(constB109_type, type, (
% 23.86/15.59 constB109: state_type)).
% 23.86/15.59 tff(constB108_type, type, (
% 23.86/15.59 constB108: state_type)).
% 23.86/15.59 tff(constB107_type, type, (
% 23.86/15.59 constB107: state_type)).
% 23.86/15.59 tff(constB105_type, type, (
% 23.86/15.59 constB105: state_type)).
% 23.86/15.59 tff(constB103_type, type, (
% 23.86/15.59 constB103: state_type)).
% 23.86/15.59 tff(constB101_type, type, (
% 23.86/15.59 constB101: state_type)).
% 23.86/15.59 tff(constB99_type, type, (
% 23.86/15.59 constB99: state_type)).
% 23.86/15.59 tff(constB97_type, type, (
% 23.86/15.59 constB97: state_type)).
% 23.86/15.59 tff(constB96_type, type, (
% 23.86/15.59 constB96: state_type)).
% 23.86/15.59 tff(constB95_type, type, (
% 23.86/15.59 constB95: state_type)).
% 23.86/15.59 tff(constB93_type, type, (
% 23.86/15.59 constB93: state_type)).
% 23.86/15.59 tff(constB91_type, type, (
% 23.86/15.59 constB91: state_type)).
% 23.86/15.59 tff(constB89_type, type, (
% 23.86/15.59 constB89: state_type)).
% 23.86/15.59 tff(constB87_type, type, (
% 23.86/15.59 constB87: state_type)).
% 23.86/15.59 tff(constB85_type, type, (
% 23.86/15.59 constB85: state_type)).
% 23.86/15.59 tff(constB84_type, type, (
% 23.86/15.59 constB84: state_type)).
% 23.86/15.59 tff(constB83_type, type, (
% 23.86/15.59 constB83: state_type)).
% 23.86/15.59 tff(constB81_type, type, (
% 23.86/15.59 constB81: state_type)).
% 23.86/15.59 tff(constB79_type, type, (
% 23.86/15.59 constB79: state_type)).
% 23.86/15.59 tff(constB77_type, type, (
% 23.86/15.59 constB77: state_type)).
% 23.86/15.59 tff(constB75_type, type, (
% 23.86/15.59 constB75: state_type)).
% 23.86/15.59 tff(constB74_type, type, (
% 23.86/15.59 constB74: state_type)).
% 23.86/15.59 tff(constB73_type, type, (
% 23.86/15.59 constB73: state_type)).
% 23.86/15.59 tff(constB71_type, type, (
% 23.86/15.59 constB71: state_type)).
% 23.86/15.59 tff(constB69_type, type, (
% 23.86/15.59 constB69: state_type)).
% 23.86/15.59 tff(constB68_type, type, (
% 23.86/15.59 constB68: state_type)).
% 23.86/15.59 tff(constB67_type, type, (
% 23.86/15.59 constB67: state_type)).
% 23.86/15.59 tff(constB65_type, type, (
% 23.86/15.59 constB65: state_type)).
% 23.86/15.59 tff(constB63_type, type, (
% 23.86/15.59 constB63: state_type)).
% 23.86/15.59 tff(constB62_type, type, (
% 23.86/15.59 constB62: state_type)).
% 23.86/15.59 tff(constB61_type, type, (
% 23.86/15.59 constB61: state_type)).
% 23.86/15.59 tff(constB59_type, type, (
% 23.86/15.59 constB59: state_type)).
% 23.86/15.59 tff(constB58_type, type, (
% 23.86/15.59 constB58: state_type)).
% 23.86/15.59 tff(constB57_type, type, (
% 23.86/15.59 constB57: state_type)).
% 23.86/15.59 tff(constB55_type, type, (
% 23.86/15.59 constB55: state_type)).
% 23.86/15.59 tff(constB53_type, type, (
% 23.86/15.59 constB53: state_type)).
% 23.86/15.59 tff(constB51_type, type, (
% 23.86/15.59 constB51: state_type)).
% 23.86/15.59 tff(constB47_type, type, (
% 23.86/15.59 constB47: state_type)).
% 23.86/15.59 tff(constB43_type, type, (
% 23.86/15.59 constB43: state_type)).
% 23.86/15.59 tff(constB41_type, type, (
% 23.86/15.59 constB41: state_type)).
% 23.86/15.59 tff(constB39_type, type, (
% 23.86/15.59 constB39: state_type)).
% 23.86/15.59 tff(bitIndex0_type, type, (
% 23.86/15.59 bitIndex0: bitindex_type)).
% 23.86/15.59 tff(constB38_type, type, (
% 23.86/15.59 constB38: state_type)).
% 23.86/15.59 tff(constB37_type, type, (
% 23.86/15.59 constB37: state_type)).
% 23.86/15.59 tff(constB35_type, type, (
% 23.86/15.59 constB35: state_type)).
% 23.86/15.59 tff(constB33_type, type, (
% 23.86/15.59 constB33: state_type)).
% 23.86/15.59 tff(constB31_type, type, (
% 23.86/15.59 constB31: state_type)).
% 23.86/15.59 tff(constB29_type, type, (
% 23.86/15.59 constB29: state_type)).
% 23.86/15.59 tff(constB27_type, type, (
% 23.86/15.59 constB27: state_type)).
% 23.86/15.59 tff(constB23_type, type, (
% 23.86/15.59 constB23: state_type)).
% 23.86/15.59 tff(constB21_type, type, (
% 23.86/15.59 constB21: state_type)).
% 23.86/15.59 tff(constB20_type, type, (
% 23.86/15.59 constB20: state_type)).
% 23.86/15.59 tff(constB19_type, type, (
% 23.86/15.59 constB19: state_type)).
% 23.86/15.59 tff(constB15_type, type, (
% 23.86/15.59 constB15: state_type)).
% 23.86/15.59 tff(constB13_type, type, (
% 23.86/15.59 constB13: state_type)).
% 23.86/15.59 tff(constB11_type, type, (
% 23.86/15.59 constB11: state_type)).
% 23.86/15.59 tff(constB9_type, type, (
% 23.86/15.59 constB9: state_type)).
% 23.86/15.59 tff(constB7_type, type, (
% 23.86/15.59 constB7: state_type)).
% 23.86/15.59 tff(constB5_type, type, (
% 23.86/15.59 constB5: state_type)).
% 23.86/15.59 tff(constB3_type, type, (
% 23.86/15.59 constB3: state_type)).
% 23.86/15.59 tff(constB1_type, type, (
% 23.86/15.59 constB1: state_type)).
% 23.86/15.59 tff(v119_type, type, (
% 23.86/15.59 v119: state_type > $o)).
% 23.86/15.59 tff(v101_type, type, (
% 23.86/15.59 v101: state_type > $o)).
% 23.86/15.59 tff(nextState_type, type, (
% 23.86/15.59 nextState: ( state_type * state_type ) > $o)).
% 23.86/15.59 tff(v102_type, type, (
% 23.86/15.59 v102: state_type > $o)).
% 23.86/15.59 tff(v104_type, type, (
% 23.86/15.59 v104: state_type > $o)).
% 23.86/15.59 tff(v124_type, type, (
% 23.86/15.59 v124: state_type > $o)).
% 23.86/15.59 tff(constB22_type, type, (
% 23.86/15.59 constB22: state_type)).
% 23.86/15.59 tff(constB25_type, type, (
% 23.86/15.59 constB25: state_type)).
% 23.86/15.59 tff(constB24_type, type, (
% 23.86/15.59 constB24: state_type)).
% 23.86/15.59 tff(constB40_type, type, (
% 23.86/15.59 constB40: state_type)).
% 23.86/15.59 tff(constB45_type, type, (
% 23.86/15.59 constB45: state_type)).
% 23.86/15.59 tff(constB44_type, type, (
% 23.86/15.59 constB44: state_type)).
% 23.86/15.59 tff(constB49_type, type, (
% 23.86/15.59 constB49: state_type)).
% 23.86/15.59 tff(constB52_type, type, (
% 23.86/15.59 constB52: state_type)).
% 23.86/15.59 tff(v60_type, type, (
% 23.86/15.59 v60: state_type > $o)).
% 23.86/15.59 tff(v66_type, type, (
% 23.86/15.59 v66: state_type > $o)).
% 23.86/15.59 tff(v64_type, type, (
% 23.86/15.59 v64: state_type > $o)).
% 23.86/15.59 tff(v9_type, type, (
% 23.86/15.59 v9: state_type > $o)).
% 23.86/15.59 tff(v13_type, type, (
% 23.86/15.59 v13: state_type > $o)).
% 23.86/15.59 tff(v19_type, type, (
% 23.86/15.59 v19: state_type > $o)).
% 23.86/15.59 tff(v18_type, type, (
% 23.86/15.59 v18: state_type > $o)).
% 23.86/15.59 tff(v22_type, type, (
% 23.86/15.59 v22: state_type > $o)).
% 23.86/15.59 tff(v74_type, type, (
% 23.86/15.59 v74: state_type > $o)).
% 23.86/15.59 tff(v72_type, type, (
% 23.86/15.59 v72: state_type > $o)).
% 23.86/15.59 tff(v71_type, type, (
% 23.86/15.59 v71: state_type > $o)).
% 23.86/15.59 tff(v76_type, type, (
% 23.86/15.59 v76: state_type > $o)).
% 23.86/15.59 tff(v80_type, type, (
% 23.86/15.59 v80: state_type > $o)).
% 23.86/15.59 tff(v78_type, type, (
% 23.86/15.59 v78: state_type > $o)).
% 23.86/15.59 tff(v140_type, type, (
% 23.86/15.59 v140: state_type > $o)).
% 23.86/15.59 tff(v166_type, type, (
% 23.86/15.59 v166: state_type > $o)).
% 23.86/15.59 tff(v145_type, type, (
% 23.86/15.59 v145: state_type > $o)).
% 23.86/15.59 tff(v146_type, type, (
% 23.86/15.59 v146: state_type > $o)).
% 23.86/15.59 tff(v193_type, type, (
% 23.86/15.59 v193: state_type > $o)).
% 23.86/15.59 tff(v195_type, type, (
% 23.86/15.59 v195: state_type > $o)).
% 23.86/15.59 tff(constB195_type, type, (
% 23.86/15.59 constB195: state_type)).
% 23.86/15.59 tff(constB193_type, type, (
% 23.86/15.59 constB193: state_type)).
% 23.86/15.59 tff(constB191_type, type, (
% 23.86/15.59 constB191: state_type)).
% 23.86/15.59 tff(constB189_type, type, (
% 23.86/15.59 constB189: state_type)).
% 23.86/15.59 tff(constB187_type, type, (
% 23.86/15.59 constB187: state_type)).
% 23.86/15.59 tff(constB186_type, type, (
% 23.86/15.59 constB186: state_type)).
% 23.86/15.59 tff(constB185_type, type, (
% 23.86/15.59 constB185: state_type)).
% 23.86/15.59 tff(constB184_type, type, (
% 23.86/15.59 constB184: state_type)).
% 23.86/15.59 tff(constB183_type, type, (
% 23.86/15.59 constB183: state_type)).
% 23.86/15.59 tff(constB182_type, type, (
% 23.86/15.59 constB182: state_type)).
% 23.86/15.59 tff(constB181_type, type, (
% 23.86/15.59 constB181: state_type)).
% 23.86/15.59 tff(constB180_type, type, (
% 23.86/15.59 constB180: state_type)).
% 23.86/15.59 tff(constB179_type, type, (
% 23.86/15.59 constB179: state_type)).
% 23.86/15.59 tff(constB177_type, type, (
% 23.86/15.59 constB177: state_type)).
% 23.86/15.59 tff(constB175_type, type, (
% 23.86/15.59 constB175: state_type)).
% 23.86/15.59 tff(constB174_type, type, (
% 23.86/15.59 constB174: state_type)).
% 23.86/15.59 tff(constB173_type, type, (
% 23.86/15.59 constB173: state_type)).
% 23.86/15.59 tff(constB172_type, type, (
% 23.86/15.59 constB172: state_type)).
% 23.86/15.59 tff(constB171_type, type, (
% 23.86/15.59 constB171: state_type)).
% 23.86/15.59 tff(constB169_type, type, (
% 23.86/15.59 constB169: state_type)).
% 23.86/15.59 tff(constB168_type, type, (
% 23.86/15.59 constB168: state_type)).
% 23.86/15.59 tff(constB167_type, type, (
% 23.86/15.59 constB167: state_type)).
% 23.86/15.59 tff(constB165_type, type, (
% 23.86/15.59 constB165: state_type)).
% 23.86/15.59 tff(constB161_type, type, (
% 23.86/15.59 constB161: state_type)).
% 23.86/15.59 tff(constB159_type, type, (
% 23.86/15.59 constB159: state_type)).
% 23.86/15.59 tff(constB157_type, type, (
% 23.86/15.59 constB157: state_type)).
% 23.86/15.59 tff(v167_type, type, (
% 23.86/15.59 v167: state_type > $o)).
% 23.86/15.59 tff(v142_type, type, (
% 23.86/15.59 v142: state_type > $o)).
% 23.86/15.59 tff(v143_type, type, (
% 23.86/15.59 v143: state_type > $o)).
% 23.86/15.59 tff(v168_type, type, (
% 23.86/15.59 v168: state_type > $o)).
% 23.86/15.59 tff(v141_type, type, (
% 23.86/15.59 v141: state_type > $o)).
% 23.86/15.59 tff(v86_type, type, (
% 23.86/15.59 v86: state_type > $o)).
% 23.86/15.59 tff(v148_type, type, (
% 23.86/15.59 v148: state_type > $o)).
% 23.86/15.59 tff(v144_type, type, (
% 23.86/15.59 v144: state_type > $o)).
% 23.86/15.59 tff(constB199_type, type, (
% 23.86/15.59 constB199: state_type)).
% 23.86/15.59 tff(constB197_type, type, (
% 23.86/15.59 constB197: state_type)).
% 23.86/15.59 tff(v169_type, type, (
% 23.86/15.59 v169: state_type > $o)).
% 23.86/15.59 tff(constB200_type, type, (
% 23.86/15.59 constB200: state_type)).
% 23.86/15.59 tff(reachableState_type, type, (
% 23.86/15.59 reachableState: state_type > $o)).
% 23.86/15.59 tff(1,assumption,(~v1(sK0_VarCurr)), introduced(assumption)).
% 23.86/15.59 tff(2,assumption,(constB14 = sK0_VarCurr), introduced(assumption)).
% 23.86/15.59 tff(3,plain,
% 23.86/15.59 (v1(constB14) <=> v1(sK0_VarCurr)),
% 23.86/15.59 inference(monotonicity,[status(thm)],[2])).
% 23.86/15.59 tff(4,plain,
% 23.86/15.59 (v1(sK0_VarCurr) <=> v1(constB14)),
% 23.86/15.59 inference(symmetry,[status(thm)],[3])).
% 23.86/15.59 tff(5,plain,
% 23.86/15.59 ((~v1(sK0_VarCurr)) <=> (~v1(constB14))),
% 23.86/15.59 inference(monotonicity,[status(thm)],[4])).
% 23.86/15.59 tff(6,plain,
% 23.86/15.59 (~v1(constB14)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[1, 5])).
% 23.86/15.59 tff(7,plain,
% 23.86/15.59 (v1(constB14) <=> v1(constB14)),
% 23.86/15.59 inference(rewrite,[status(thm)],[])).
% 23.86/15.59 tff(8,axiom,(v1(constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_14_1')).
% 23.86/15.59 tff(9,plain,
% 23.86/15.59 (v1(constB14)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[8, 7])).
% 23.86/15.59 tff(10,plain,
% 23.86/15.59 ($false),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[9, 6])).
% 23.86/15.59 tff(11,plain,((~(constB14 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.86/15.59 tff(12,plain,
% 23.86/15.59 (~(constB14 = sK0_VarCurr)),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[11, 1])).
% 23.86/15.59 tff(13,assumption,(constB194 = sK0_VarCurr), introduced(assumption)).
% 23.86/15.59 tff(14,plain,
% 23.86/15.59 (v1(constB194) <=> v1(sK0_VarCurr)),
% 23.86/15.59 inference(monotonicity,[status(thm)],[13])).
% 23.86/15.59 tff(15,plain,
% 23.86/15.59 (v1(sK0_VarCurr) <=> v1(constB194)),
% 23.86/15.59 inference(symmetry,[status(thm)],[14])).
% 23.86/15.59 tff(16,plain,
% 23.86/15.59 ((~v1(sK0_VarCurr)) <=> (~v1(constB194))),
% 23.86/15.59 inference(monotonicity,[status(thm)],[15])).
% 23.86/15.59 tff(17,plain,
% 23.86/15.59 (~v1(constB194)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[1, 16])).
% 23.86/15.59 tff(18,plain,
% 23.86/15.59 (v1(constB194) <=> v1(constB194)),
% 23.86/15.59 inference(rewrite,[status(thm)],[])).
% 23.86/15.59 tff(19,axiom,(v1(constB194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_194_1')).
% 23.86/15.59 tff(20,plain,
% 23.86/15.59 (v1(constB194)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[19, 18])).
% 23.86/15.59 tff(21,plain,
% 23.86/15.59 ($false),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[20, 17])).
% 23.86/15.59 tff(22,plain,((~(constB194 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.86/15.59 tff(23,plain,
% 23.86/15.59 (~(constB194 = sK0_VarCurr)),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[22, 1])).
% 23.86/15.59 tff(24,assumption,(constB188 = sK0_VarCurr), introduced(assumption)).
% 23.86/15.59 tff(25,plain,
% 23.86/15.59 (v1(constB188) <=> v1(sK0_VarCurr)),
% 23.86/15.59 inference(monotonicity,[status(thm)],[24])).
% 23.86/15.59 tff(26,plain,
% 23.86/15.59 (v1(sK0_VarCurr) <=> v1(constB188)),
% 23.86/15.59 inference(symmetry,[status(thm)],[25])).
% 23.86/15.59 tff(27,plain,
% 23.86/15.59 ((~v1(sK0_VarCurr)) <=> (~v1(constB188))),
% 23.86/15.59 inference(monotonicity,[status(thm)],[26])).
% 23.86/15.59 tff(28,plain,
% 23.86/15.59 (~v1(constB188)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[1, 27])).
% 23.86/15.59 tff(29,plain,
% 23.86/15.59 (v1(constB188) <=> v1(constB188)),
% 23.86/15.59 inference(rewrite,[status(thm)],[])).
% 23.86/15.59 tff(30,axiom,(v1(constB188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_188_1')).
% 23.86/15.59 tff(31,plain,
% 23.86/15.59 (v1(constB188)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[30, 29])).
% 23.86/15.59 tff(32,plain,
% 23.86/15.59 ($false),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[31, 28])).
% 23.86/15.59 tff(33,plain,((~(constB188 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.86/15.59 tff(34,plain,
% 23.86/15.59 (~(constB188 = sK0_VarCurr)),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[33, 1])).
% 23.86/15.59 tff(35,assumption,(constB82 = sK0_VarCurr), introduced(assumption)).
% 23.86/15.59 tff(36,plain,
% 23.86/15.59 (v1(constB82) <=> v1(sK0_VarCurr)),
% 23.86/15.59 inference(monotonicity,[status(thm)],[35])).
% 23.86/15.59 tff(37,plain,
% 23.86/15.59 (v1(sK0_VarCurr) <=> v1(constB82)),
% 23.86/15.59 inference(symmetry,[status(thm)],[36])).
% 23.86/15.59 tff(38,plain,
% 23.86/15.59 ((~v1(sK0_VarCurr)) <=> (~v1(constB82))),
% 23.86/15.59 inference(monotonicity,[status(thm)],[37])).
% 23.86/15.59 tff(39,plain,
% 23.86/15.59 (~v1(constB82)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[1, 38])).
% 23.86/15.59 tff(40,plain,
% 23.86/15.59 (v1(constB82) <=> v1(constB82)),
% 23.86/15.59 inference(rewrite,[status(thm)],[])).
% 23.86/15.59 tff(41,axiom,(v1(constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_82_1')).
% 23.86/15.59 tff(42,plain,
% 23.86/15.59 (v1(constB82)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[41, 40])).
% 23.86/15.59 tff(43,plain,
% 23.86/15.59 ($false),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[42, 39])).
% 23.86/15.59 tff(44,plain,((~(constB82 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.86/15.59 tff(45,plain,
% 23.86/15.59 (~(constB82 = sK0_VarCurr)),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[44, 1])).
% 23.86/15.59 tff(46,assumption,(constB26 = sK0_VarCurr), introduced(assumption)).
% 23.86/15.59 tff(47,plain,
% 23.86/15.59 (v1(constB26) <=> v1(sK0_VarCurr)),
% 23.86/15.59 inference(monotonicity,[status(thm)],[46])).
% 23.86/15.59 tff(48,plain,
% 23.86/15.59 (v1(sK0_VarCurr) <=> v1(constB26)),
% 23.86/15.59 inference(symmetry,[status(thm)],[47])).
% 23.86/15.59 tff(49,plain,
% 23.86/15.59 ((~v1(sK0_VarCurr)) <=> (~v1(constB26))),
% 23.86/15.59 inference(monotonicity,[status(thm)],[48])).
% 23.86/15.59 tff(50,plain,
% 23.86/15.59 (~v1(constB26)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[1, 49])).
% 23.86/15.59 tff(51,plain,
% 23.86/15.59 (v1(constB26) <=> v1(constB26)),
% 23.86/15.59 inference(rewrite,[status(thm)],[])).
% 23.86/15.59 tff(52,axiom,(v1(constB26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_26_1')).
% 23.86/15.59 tff(53,plain,
% 23.86/15.59 (v1(constB26)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[52, 51])).
% 23.86/15.59 tff(54,plain,
% 23.86/15.59 ($false),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[53, 50])).
% 23.86/15.59 tff(55,plain,((~(constB26 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.86/15.59 tff(56,plain,
% 23.86/15.59 (~(constB26 = sK0_VarCurr)),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[55, 1])).
% 23.86/15.59 tff(57,assumption,(constB190 = sK0_VarCurr), introduced(assumption)).
% 23.86/15.59 tff(58,plain,
% 23.86/15.59 (v1(constB190) <=> v1(sK0_VarCurr)),
% 23.86/15.59 inference(monotonicity,[status(thm)],[57])).
% 23.86/15.59 tff(59,plain,
% 23.86/15.59 (v1(sK0_VarCurr) <=> v1(constB190)),
% 23.86/15.59 inference(symmetry,[status(thm)],[58])).
% 23.86/15.59 tff(60,plain,
% 23.86/15.59 ((~v1(sK0_VarCurr)) <=> (~v1(constB190))),
% 23.86/15.59 inference(monotonicity,[status(thm)],[59])).
% 23.86/15.59 tff(61,plain,
% 23.86/15.59 (~v1(constB190)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[1, 60])).
% 23.86/15.59 tff(62,plain,
% 23.86/15.59 (v1(constB190) <=> v1(constB190)),
% 23.86/15.59 inference(rewrite,[status(thm)],[])).
% 23.86/15.59 tff(63,axiom,(v1(constB190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_190_1')).
% 23.86/15.59 tff(64,plain,
% 23.86/15.59 (v1(constB190)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[63, 62])).
% 23.86/15.59 tff(65,plain,
% 23.86/15.59 ($false),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[64, 61])).
% 23.86/15.59 tff(66,plain,((~(constB190 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.86/15.59 tff(67,plain,
% 23.86/15.59 (~(constB190 = sK0_VarCurr)),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[66, 1])).
% 23.86/15.59 tff(68,assumption,(constB80 = sK0_VarCurr), introduced(assumption)).
% 23.86/15.59 tff(69,plain,
% 23.86/15.59 (v1(constB80) <=> v1(sK0_VarCurr)),
% 23.86/15.59 inference(monotonicity,[status(thm)],[68])).
% 23.86/15.59 tff(70,plain,
% 23.86/15.59 (v1(sK0_VarCurr) <=> v1(constB80)),
% 23.86/15.59 inference(symmetry,[status(thm)],[69])).
% 23.86/15.59 tff(71,plain,
% 23.86/15.59 ((~v1(sK0_VarCurr)) <=> (~v1(constB80))),
% 23.86/15.59 inference(monotonicity,[status(thm)],[70])).
% 23.86/15.59 tff(72,plain,
% 23.86/15.59 (~v1(constB80)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[1, 71])).
% 23.86/15.59 tff(73,plain,
% 23.86/15.59 (v1(constB80) <=> v1(constB80)),
% 23.86/15.59 inference(rewrite,[status(thm)],[])).
% 23.86/15.59 tff(74,axiom,(v1(constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_80_1')).
% 23.86/15.59 tff(75,plain,
% 23.86/15.59 (v1(constB80)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[74, 73])).
% 23.86/15.59 tff(76,plain,
% 23.86/15.59 ($false),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[75, 72])).
% 23.86/15.59 tff(77,plain,((~(constB80 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.86/15.59 tff(78,plain,
% 23.86/15.59 (~(constB80 = sK0_VarCurr)),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[77, 1])).
% 23.86/15.59 tff(79,assumption,(constB16 = sK0_VarCurr), introduced(assumption)).
% 23.86/15.59 tff(80,plain,
% 23.86/15.59 (v1(constB16) <=> v1(sK0_VarCurr)),
% 23.86/15.59 inference(monotonicity,[status(thm)],[79])).
% 23.86/15.59 tff(81,plain,
% 23.86/15.59 (v1(sK0_VarCurr) <=> v1(constB16)),
% 23.86/15.59 inference(symmetry,[status(thm)],[80])).
% 23.86/15.59 tff(82,plain,
% 23.86/15.59 ((~v1(sK0_VarCurr)) <=> (~v1(constB16))),
% 23.86/15.59 inference(monotonicity,[status(thm)],[81])).
% 23.86/15.59 tff(83,plain,
% 23.86/15.59 (~v1(constB16)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[1, 82])).
% 23.86/15.59 tff(84,plain,
% 23.86/15.59 (v1(constB16) <=> v1(constB16)),
% 23.86/15.59 inference(rewrite,[status(thm)],[])).
% 23.86/15.59 tff(85,axiom,(v1(constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_16_1')).
% 23.86/15.59 tff(86,plain,
% 23.86/15.59 (v1(constB16)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[85, 84])).
% 23.86/15.59 tff(87,plain,
% 23.86/15.59 ($false),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[86, 83])).
% 23.86/15.59 tff(88,plain,((~(constB16 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.86/15.59 tff(89,plain,
% 23.86/15.59 (~(constB16 = sK0_VarCurr)),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[88, 1])).
% 23.86/15.59 tff(90,assumption,(constB12 = sK0_VarCurr), introduced(assumption)).
% 23.86/15.59 tff(91,plain,
% 23.86/15.59 (v1(constB12) <=> v1(sK0_VarCurr)),
% 23.86/15.59 inference(monotonicity,[status(thm)],[90])).
% 23.86/15.59 tff(92,plain,
% 23.86/15.59 (v1(sK0_VarCurr) <=> v1(constB12)),
% 23.86/15.59 inference(symmetry,[status(thm)],[91])).
% 23.86/15.59 tff(93,plain,
% 23.86/15.59 ((~v1(sK0_VarCurr)) <=> (~v1(constB12))),
% 23.86/15.59 inference(monotonicity,[status(thm)],[92])).
% 23.86/15.59 tff(94,plain,
% 23.86/15.59 (~v1(constB12)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[1, 93])).
% 23.86/15.59 tff(95,plain,
% 23.86/15.59 (v1(constB12) <=> v1(constB12)),
% 23.86/15.59 inference(rewrite,[status(thm)],[])).
% 23.86/15.59 tff(96,axiom,(v1(constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_12_1')).
% 23.86/15.59 tff(97,plain,
% 23.86/15.59 (v1(constB12)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[96, 95])).
% 23.86/15.59 tff(98,plain,
% 23.86/15.59 ($false),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[97, 94])).
% 23.86/15.59 tff(99,plain,((~(constB12 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.86/15.59 tff(100,plain,
% 23.86/15.59 (~(constB12 = sK0_VarCurr)),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[99, 1])).
% 23.86/15.59 tff(101,assumption,(constB90 = sK0_VarCurr), introduced(assumption)).
% 23.86/15.59 tff(102,plain,
% 23.86/15.59 (v1(constB90) <=> v1(sK0_VarCurr)),
% 23.86/15.59 inference(monotonicity,[status(thm)],[101])).
% 23.86/15.59 tff(103,plain,
% 23.86/15.59 (v1(sK0_VarCurr) <=> v1(constB90)),
% 23.86/15.59 inference(symmetry,[status(thm)],[102])).
% 23.86/15.59 tff(104,plain,
% 23.86/15.59 ((~v1(sK0_VarCurr)) <=> (~v1(constB90))),
% 23.86/15.59 inference(monotonicity,[status(thm)],[103])).
% 23.86/15.59 tff(105,plain,
% 23.86/15.59 (~v1(constB90)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[1, 104])).
% 23.86/15.59 tff(106,plain,
% 23.86/15.59 (v1(constB90) <=> v1(constB90)),
% 23.86/15.59 inference(rewrite,[status(thm)],[])).
% 23.86/15.59 tff(107,axiom,(v1(constB90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_90_1')).
% 23.86/15.59 tff(108,plain,
% 23.86/15.59 (v1(constB90)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[107, 106])).
% 23.86/15.59 tff(109,plain,
% 23.86/15.59 ($false),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[108, 105])).
% 23.86/15.59 tff(110,plain,((~(constB90 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.86/15.59 tff(111,plain,
% 23.86/15.59 (~(constB90 = sK0_VarCurr)),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[110, 1])).
% 23.86/15.59 tff(112,assumption,(constB0 = sK0_VarCurr), introduced(assumption)).
% 23.86/15.59 tff(113,plain,
% 23.86/15.59 (v1(constB0) <=> v1(sK0_VarCurr)),
% 23.86/15.59 inference(monotonicity,[status(thm)],[112])).
% 23.86/15.59 tff(114,plain,
% 23.86/15.59 (v1(sK0_VarCurr) <=> v1(constB0)),
% 23.86/15.59 inference(symmetry,[status(thm)],[113])).
% 23.86/15.59 tff(115,plain,
% 23.86/15.59 ((~v1(sK0_VarCurr)) <=> (~v1(constB0))),
% 23.86/15.59 inference(monotonicity,[status(thm)],[114])).
% 23.86/15.59 tff(116,plain,
% 23.86/15.59 (~v1(constB0)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[1, 115])).
% 23.86/15.59 tff(117,plain,
% 23.86/15.59 (v1(constB0) <=> v1(constB0)),
% 23.86/15.59 inference(rewrite,[status(thm)],[])).
% 23.86/15.59 tff(118,axiom,(v1(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_201')).
% 23.86/15.59 tff(119,plain,
% 23.86/15.59 (v1(constB0)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[118, 117])).
% 23.86/15.59 tff(120,plain,
% 23.86/15.59 ($false),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[119, 116])).
% 23.86/15.59 tff(121,plain,((~(constB0 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.86/15.59 tff(122,plain,
% 23.86/15.59 (~(constB0 = sK0_VarCurr)),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[121, 1])).
% 23.86/15.59 tff(123,assumption,(constB70 = sK0_VarCurr), introduced(assumption)).
% 23.86/15.59 tff(124,plain,
% 23.86/15.59 (v1(constB70) <=> v1(sK0_VarCurr)),
% 23.86/15.59 inference(monotonicity,[status(thm)],[123])).
% 23.86/15.59 tff(125,plain,
% 23.86/15.59 (v1(sK0_VarCurr) <=> v1(constB70)),
% 23.86/15.59 inference(symmetry,[status(thm)],[124])).
% 23.86/15.59 tff(126,plain,
% 23.86/15.59 ((~v1(sK0_VarCurr)) <=> (~v1(constB70))),
% 23.86/15.59 inference(monotonicity,[status(thm)],[125])).
% 23.86/15.59 tff(127,plain,
% 23.86/15.59 (~v1(constB70)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[1, 126])).
% 23.86/15.59 tff(128,plain,
% 23.86/15.59 (v1(constB70) <=> v1(constB70)),
% 23.86/15.59 inference(rewrite,[status(thm)],[])).
% 23.86/15.59 tff(129,axiom,(v1(constB70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_70_1')).
% 23.86/15.59 tff(130,plain,
% 23.86/15.59 (v1(constB70)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[129, 128])).
% 23.86/15.59 tff(131,plain,
% 23.86/15.59 ($false),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[130, 127])).
% 23.86/15.59 tff(132,plain,((~(constB70 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.86/15.59 tff(133,plain,
% 23.86/15.59 (~(constB70 = sK0_VarCurr)),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[132, 1])).
% 23.86/15.59 tff(134,assumption,(constB176 = sK0_VarCurr), introduced(assumption)).
% 23.86/15.59 tff(135,plain,
% 23.86/15.59 (v1(constB176) <=> v1(sK0_VarCurr)),
% 23.86/15.59 inference(monotonicity,[status(thm)],[134])).
% 23.86/15.59 tff(136,plain,
% 23.86/15.59 (v1(sK0_VarCurr) <=> v1(constB176)),
% 23.86/15.59 inference(symmetry,[status(thm)],[135])).
% 23.86/15.59 tff(137,plain,
% 23.86/15.59 ((~v1(sK0_VarCurr)) <=> (~v1(constB176))),
% 23.86/15.59 inference(monotonicity,[status(thm)],[136])).
% 23.86/15.59 tff(138,plain,
% 23.86/15.59 (~v1(constB176)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[1, 137])).
% 23.86/15.59 tff(139,plain,
% 23.86/15.59 (v1(constB176) <=> v1(constB176)),
% 23.86/15.59 inference(rewrite,[status(thm)],[])).
% 23.86/15.59 tff(140,axiom,(v1(constB176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_176_1')).
% 23.86/15.59 tff(141,plain,
% 23.86/15.59 (v1(constB176)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[140, 139])).
% 23.86/15.59 tff(142,plain,
% 23.86/15.59 ($false),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[141, 138])).
% 23.86/15.59 tff(143,plain,((~(constB176 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.86/15.59 tff(144,plain,
% 23.86/15.59 (~(constB176 = sK0_VarCurr)),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[143, 1])).
% 23.86/15.59 tff(145,assumption,(constB122 = sK0_VarCurr), introduced(assumption)).
% 23.86/15.59 tff(146,plain,
% 23.86/15.59 (v1(constB122) <=> v1(sK0_VarCurr)),
% 23.86/15.59 inference(monotonicity,[status(thm)],[145])).
% 23.86/15.59 tff(147,plain,
% 23.86/15.59 (v1(sK0_VarCurr) <=> v1(constB122)),
% 23.86/15.59 inference(symmetry,[status(thm)],[146])).
% 23.86/15.59 tff(148,plain,
% 23.86/15.59 ((~v1(sK0_VarCurr)) <=> (~v1(constB122))),
% 23.86/15.59 inference(monotonicity,[status(thm)],[147])).
% 23.86/15.59 tff(149,plain,
% 23.86/15.59 (~v1(constB122)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[1, 148])).
% 23.86/15.59 tff(150,plain,
% 23.86/15.59 (v1(constB122) <=> v1(constB122)),
% 23.86/15.59 inference(rewrite,[status(thm)],[])).
% 23.86/15.59 tff(151,axiom,(v1(constB122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_122_1')).
% 23.86/15.59 tff(152,plain,
% 23.86/15.59 (v1(constB122)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[151, 150])).
% 23.86/15.59 tff(153,plain,
% 23.86/15.59 ($false),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[152, 149])).
% 23.86/15.59 tff(154,plain,((~(constB122 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.86/15.59 tff(155,plain,
% 23.86/15.59 (~(constB122 = sK0_VarCurr)),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[154, 1])).
% 23.86/15.59 tff(156,assumption,(constB142 = sK0_VarCurr), introduced(assumption)).
% 23.86/15.59 tff(157,plain,
% 23.86/15.59 (v1(constB142) <=> v1(sK0_VarCurr)),
% 23.86/15.59 inference(monotonicity,[status(thm)],[156])).
% 23.86/15.59 tff(158,plain,
% 23.86/15.59 (v1(sK0_VarCurr) <=> v1(constB142)),
% 23.86/15.59 inference(symmetry,[status(thm)],[157])).
% 23.86/15.59 tff(159,plain,
% 23.86/15.59 ((~v1(sK0_VarCurr)) <=> (~v1(constB142))),
% 23.86/15.59 inference(monotonicity,[status(thm)],[158])).
% 23.86/15.59 tff(160,plain,
% 23.86/15.59 (~v1(constB142)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[1, 159])).
% 23.86/15.59 tff(161,plain,
% 23.86/15.59 (v1(constB142) <=> v1(constB142)),
% 23.86/15.59 inference(rewrite,[status(thm)],[])).
% 23.86/15.59 tff(162,axiom,(v1(constB142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_142_1')).
% 23.86/15.59 tff(163,plain,
% 23.86/15.59 (v1(constB142)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[162, 161])).
% 23.86/15.59 tff(164,plain,
% 23.86/15.59 ($false),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[163, 160])).
% 23.86/15.59 tff(165,plain,((~(constB142 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.86/15.59 tff(166,plain,
% 23.86/15.59 (~(constB142 = sK0_VarCurr)),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[165, 1])).
% 23.86/15.59 tff(167,assumption,(constB178 = sK0_VarCurr), introduced(assumption)).
% 23.86/15.59 tff(168,plain,
% 23.86/15.59 (v1(constB178) <=> v1(sK0_VarCurr)),
% 23.86/15.59 inference(monotonicity,[status(thm)],[167])).
% 23.86/15.59 tff(169,plain,
% 23.86/15.59 (v1(sK0_VarCurr) <=> v1(constB178)),
% 23.86/15.59 inference(symmetry,[status(thm)],[168])).
% 23.86/15.59 tff(170,plain,
% 23.86/15.59 ((~v1(sK0_VarCurr)) <=> (~v1(constB178))),
% 23.86/15.59 inference(monotonicity,[status(thm)],[169])).
% 23.86/15.59 tff(171,plain,
% 23.86/15.59 (~v1(constB178)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[1, 170])).
% 23.86/15.59 tff(172,plain,
% 23.86/15.59 (v1(constB178) <=> v1(constB178)),
% 23.86/15.59 inference(rewrite,[status(thm)],[])).
% 23.86/15.59 tff(173,axiom,(v1(constB178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_178_1')).
% 23.86/15.59 tff(174,plain,
% 23.86/15.59 (v1(constB178)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[173, 172])).
% 23.86/15.59 tff(175,plain,
% 23.86/15.59 ($false),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[174, 171])).
% 23.86/15.59 tff(176,plain,((~(constB178 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.86/15.59 tff(177,plain,
% 23.86/15.59 (~(constB178 = sK0_VarCurr)),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[176, 1])).
% 23.86/15.59 tff(178,assumption,(constB164 = sK0_VarCurr), introduced(assumption)).
% 23.86/15.59 tff(179,plain,
% 23.86/15.59 (v1(constB164) <=> v1(sK0_VarCurr)),
% 23.86/15.59 inference(monotonicity,[status(thm)],[178])).
% 23.86/15.59 tff(180,plain,
% 23.86/15.59 (v1(sK0_VarCurr) <=> v1(constB164)),
% 23.86/15.59 inference(symmetry,[status(thm)],[179])).
% 23.86/15.59 tff(181,plain,
% 23.86/15.59 ((~v1(sK0_VarCurr)) <=> (~v1(constB164))),
% 23.86/15.59 inference(monotonicity,[status(thm)],[180])).
% 23.86/15.59 tff(182,plain,
% 23.86/15.59 (~v1(constB164)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[1, 181])).
% 23.86/15.59 tff(183,plain,
% 23.86/15.59 (v1(constB164) <=> v1(constB164)),
% 23.86/15.59 inference(rewrite,[status(thm)],[])).
% 23.86/15.59 tff(184,axiom,(v1(constB164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_164_1')).
% 23.86/15.59 tff(185,plain,
% 23.86/15.59 (v1(constB164)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[184, 183])).
% 23.86/15.59 tff(186,plain,
% 23.86/15.59 ($false),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[185, 182])).
% 23.86/15.59 tff(187,plain,((~(constB164 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.86/15.59 tff(188,plain,
% 23.86/15.59 (~(constB164 = sK0_VarCurr)),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[187, 1])).
% 23.86/15.59 tff(189,assumption,(constB98 = sK0_VarCurr), introduced(assumption)).
% 23.86/15.59 tff(190,plain,
% 23.86/15.59 (v1(constB98) <=> v1(sK0_VarCurr)),
% 23.86/15.59 inference(monotonicity,[status(thm)],[189])).
% 23.86/15.59 tff(191,plain,
% 23.86/15.59 (v1(sK0_VarCurr) <=> v1(constB98)),
% 23.86/15.59 inference(symmetry,[status(thm)],[190])).
% 23.86/15.59 tff(192,plain,
% 23.86/15.59 ((~v1(sK0_VarCurr)) <=> (~v1(constB98))),
% 23.86/15.59 inference(monotonicity,[status(thm)],[191])).
% 23.86/15.59 tff(193,plain,
% 23.86/15.59 (~v1(constB98)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[1, 192])).
% 23.86/15.59 tff(194,plain,
% 23.86/15.59 (v1(constB98) <=> v1(constB98)),
% 23.86/15.59 inference(rewrite,[status(thm)],[])).
% 23.86/15.59 tff(195,axiom,(v1(constB98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_98_1')).
% 23.86/15.59 tff(196,plain,
% 23.86/15.59 (v1(constB98)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[195, 194])).
% 23.86/15.59 tff(197,plain,
% 23.86/15.59 ($false),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[196, 193])).
% 23.86/15.59 tff(198,plain,((~(constB98 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.86/15.59 tff(199,plain,
% 23.86/15.59 (~(constB98 = sK0_VarCurr)),
% 23.86/15.59 inference(unit_resolution,[status(thm)],[198, 1])).
% 23.86/15.59 tff(200,assumption,(constB124 = sK0_VarCurr), introduced(assumption)).
% 23.86/15.59 tff(201,plain,
% 23.86/15.59 (v1(constB124) <=> v1(sK0_VarCurr)),
% 23.86/15.59 inference(monotonicity,[status(thm)],[200])).
% 23.86/15.59 tff(202,plain,
% 23.86/15.59 (v1(sK0_VarCurr) <=> v1(constB124)),
% 23.86/15.59 inference(symmetry,[status(thm)],[201])).
% 23.86/15.59 tff(203,plain,
% 23.86/15.59 ((~v1(sK0_VarCurr)) <=> (~v1(constB124))),
% 23.86/15.59 inference(monotonicity,[status(thm)],[202])).
% 23.86/15.59 tff(204,plain,
% 23.86/15.59 (~v1(constB124)),
% 23.86/15.59 inference(modus_ponens,[status(thm)],[1, 203])).
% 23.86/15.59 tff(205,plain,
% 23.86/15.59 (v1(constB124) <=> v1(constB124)),
% 23.86/15.59 inference(rewrite,[status(thm)],[])).
% 23.86/15.60 tff(206,axiom,(v1(constB124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_124_1')).
% 23.86/15.60 tff(207,plain,
% 23.86/15.60 (v1(constB124)),
% 23.86/15.60 inference(modus_ponens,[status(thm)],[206, 205])).
% 23.86/15.60 tff(208,plain,
% 23.86/15.60 ($false),
% 23.86/15.60 inference(unit_resolution,[status(thm)],[207, 204])).
% 23.86/15.60 tff(209,plain,((~(constB124 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.86/15.60 tff(210,plain,
% 23.86/15.60 (~(constB124 = sK0_VarCurr)),
% 23.86/15.60 inference(unit_resolution,[status(thm)],[209, 1])).
% 23.86/15.60 tff(211,assumption,(constB158 = sK0_VarCurr), introduced(assumption)).
% 23.86/15.60 tff(212,plain,
% 23.86/15.60 (v1(constB158) <=> v1(sK0_VarCurr)),
% 23.86/15.60 inference(monotonicity,[status(thm)],[211])).
% 23.86/15.60 tff(213,plain,
% 23.86/15.60 (v1(sK0_VarCurr) <=> v1(constB158)),
% 23.86/15.60 inference(symmetry,[status(thm)],[212])).
% 23.86/15.60 tff(214,plain,
% 23.86/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB158))),
% 23.86/15.60 inference(monotonicity,[status(thm)],[213])).
% 23.86/15.60 tff(215,plain,
% 23.86/15.60 (~v1(constB158)),
% 23.86/15.60 inference(modus_ponens,[status(thm)],[1, 214])).
% 23.86/15.60 tff(216,plain,
% 23.86/15.60 (v1(constB158) <=> v1(constB158)),
% 23.86/15.60 inference(rewrite,[status(thm)],[])).
% 23.86/15.60 tff(217,axiom,(v1(constB158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_158_1')).
% 23.86/15.60 tff(218,plain,
% 23.86/15.60 (v1(constB158)),
% 23.86/15.60 inference(modus_ponens,[status(thm)],[217, 216])).
% 23.86/15.60 tff(219,plain,
% 23.86/15.60 ($false),
% 23.86/15.60 inference(unit_resolution,[status(thm)],[218, 215])).
% 23.86/15.60 tff(220,plain,((~(constB158 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.86/15.60 tff(221,plain,
% 23.86/15.60 (~(constB158 = sK0_VarCurr)),
% 23.86/15.60 inference(unit_resolution,[status(thm)],[220, 1])).
% 23.86/15.60 tff(222,assumption,(constB8 = sK0_VarCurr), introduced(assumption)).
% 23.86/15.60 tff(223,plain,
% 23.86/15.60 (v1(constB8) <=> v1(sK0_VarCurr)),
% 23.86/15.60 inference(monotonicity,[status(thm)],[222])).
% 23.86/15.60 tff(224,plain,
% 23.86/15.60 (v1(sK0_VarCurr) <=> v1(constB8)),
% 23.86/15.60 inference(symmetry,[status(thm)],[223])).
% 23.86/15.60 tff(225,plain,
% 23.86/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB8))),
% 23.86/15.60 inference(monotonicity,[status(thm)],[224])).
% 23.86/15.60 tff(226,plain,
% 23.86/15.60 (~v1(constB8)),
% 23.86/15.60 inference(modus_ponens,[status(thm)],[1, 225])).
% 23.86/15.60 tff(227,plain,
% 23.86/15.60 (v1(constB8) <=> v1(constB8)),
% 23.86/15.60 inference(rewrite,[status(thm)],[])).
% 23.86/15.60 tff(228,axiom,(v1(constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_8_1')).
% 23.86/15.60 tff(229,plain,
% 23.86/15.60 (v1(constB8)),
% 23.86/15.60 inference(modus_ponens,[status(thm)],[228, 227])).
% 23.86/15.60 tff(230,plain,
% 23.86/15.60 ($false),
% 23.86/15.60 inference(unit_resolution,[status(thm)],[229, 226])).
% 23.86/15.60 tff(231,plain,((~(constB8 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.86/15.60 tff(232,plain,
% 23.86/15.60 (~(constB8 = sK0_VarCurr)),
% 23.86/15.60 inference(unit_resolution,[status(thm)],[231, 1])).
% 23.86/15.60 tff(233,assumption,(constB130 = sK0_VarCurr), introduced(assumption)).
% 23.86/15.60 tff(234,plain,
% 23.86/15.60 (v1(constB130) <=> v1(sK0_VarCurr)),
% 23.86/15.60 inference(monotonicity,[status(thm)],[233])).
% 23.86/15.60 tff(235,plain,
% 23.86/15.60 (v1(sK0_VarCurr) <=> v1(constB130)),
% 23.86/15.60 inference(symmetry,[status(thm)],[234])).
% 23.86/15.60 tff(236,plain,
% 23.86/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB130))),
% 23.86/15.60 inference(monotonicity,[status(thm)],[235])).
% 23.86/15.60 tff(237,plain,
% 23.86/15.60 (~v1(constB130)),
% 23.86/15.60 inference(modus_ponens,[status(thm)],[1, 236])).
% 23.86/15.60 tff(238,plain,
% 23.86/15.60 (v1(constB130) <=> v1(constB130)),
% 23.86/15.60 inference(rewrite,[status(thm)],[])).
% 23.86/15.60 tff(239,axiom,(v1(constB130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_130_1')).
% 23.86/15.60 tff(240,plain,
% 23.86/15.60 (v1(constB130)),
% 23.86/15.60 inference(modus_ponens,[status(thm)],[239, 238])).
% 23.86/15.60 tff(241,plain,
% 23.86/15.60 ($false),
% 23.86/15.60 inference(unit_resolution,[status(thm)],[240, 237])).
% 23.86/15.60 tff(242,plain,((~(constB130 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.86/15.60 tff(243,plain,
% 23.86/15.60 (~(constB130 = sK0_VarCurr)),
% 23.86/15.60 inference(unit_resolution,[status(thm)],[242, 1])).
% 23.86/15.60 tff(244,assumption,(constB34 = sK0_VarCurr), introduced(assumption)).
% 23.86/15.60 tff(245,plain,
% 23.86/15.60 (v1(constB34) <=> v1(sK0_VarCurr)),
% 23.86/15.60 inference(monotonicity,[status(thm)],[244])).
% 23.86/15.60 tff(246,plain,
% 23.86/15.60 (v1(sK0_VarCurr) <=> v1(constB34)),
% 23.86/15.60 inference(symmetry,[status(thm)],[245])).
% 23.86/15.60 tff(247,plain,
% 23.86/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB34))),
% 23.86/15.60 inference(monotonicity,[status(thm)],[246])).
% 23.86/15.60 tff(248,plain,
% 23.86/15.60 (~v1(constB34)),
% 23.86/15.60 inference(modus_ponens,[status(thm)],[1, 247])).
% 23.86/15.60 tff(249,plain,
% 23.86/15.60 (v1(constB34) <=> v1(constB34)),
% 23.86/15.60 inference(rewrite,[status(thm)],[])).
% 23.86/15.60 tff(250,axiom,(v1(constB34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_34_1')).
% 23.86/15.60 tff(251,plain,
% 23.86/15.60 (v1(constB34)),
% 23.86/15.60 inference(modus_ponens,[status(thm)],[250, 249])).
% 23.86/15.60 tff(252,plain,
% 23.86/15.60 ($false),
% 23.86/15.60 inference(unit_resolution,[status(thm)],[251, 248])).
% 23.86/15.60 tff(253,plain,((~(constB34 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.86/15.60 tff(254,plain,
% 23.86/15.60 (~(constB34 = sK0_VarCurr)),
% 23.86/15.60 inference(unit_resolution,[status(thm)],[253, 1])).
% 23.86/15.60 tff(255,assumption,(constB196 = sK0_VarCurr), introduced(assumption)).
% 23.86/15.60 tff(256,plain,
% 23.86/15.60 (v1(constB196) <=> v1(sK0_VarCurr)),
% 23.86/15.60 inference(monotonicity,[status(thm)],[255])).
% 23.86/15.60 tff(257,plain,
% 23.86/15.60 (v1(sK0_VarCurr) <=> v1(constB196)),
% 23.86/15.60 inference(symmetry,[status(thm)],[256])).
% 23.86/15.60 tff(258,plain,
% 23.86/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB196))),
% 23.86/15.60 inference(monotonicity,[status(thm)],[257])).
% 23.86/15.60 tff(259,plain,
% 23.86/15.60 (~v1(constB196)),
% 23.86/15.60 inference(modus_ponens,[status(thm)],[1, 258])).
% 23.86/15.60 tff(260,plain,
% 23.86/15.60 (v1(constB196) <=> v1(constB196)),
% 23.86/15.60 inference(rewrite,[status(thm)],[])).
% 23.86/15.60 tff(261,axiom,(v1(constB196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_196_1')).
% 23.86/15.60 tff(262,plain,
% 23.86/15.60 (v1(constB196)),
% 23.86/15.60 inference(modus_ponens,[status(thm)],[261, 260])).
% 23.86/15.60 tff(263,plain,
% 23.86/15.60 ($false),
% 23.86/15.60 inference(unit_resolution,[status(thm)],[262, 259])).
% 23.86/15.60 tff(264,plain,((~(constB196 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.86/15.60 tff(265,plain,
% 23.86/15.60 (~(constB196 = sK0_VarCurr)),
% 23.86/15.60 inference(unit_resolution,[status(thm)],[264, 1])).
% 23.86/15.60 tff(266,assumption,(constB162 = sK0_VarCurr), introduced(assumption)).
% 23.86/15.60 tff(267,plain,
% 23.86/15.60 (v1(constB162) <=> v1(sK0_VarCurr)),
% 23.86/15.60 inference(monotonicity,[status(thm)],[266])).
% 23.86/15.60 tff(268,plain,
% 23.86/15.60 (v1(sK0_VarCurr) <=> v1(constB162)),
% 23.86/15.60 inference(symmetry,[status(thm)],[267])).
% 23.86/15.60 tff(269,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB162))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[268])).
% 23.89/15.60 tff(270,plain,
% 23.89/15.60 (~v1(constB162)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 269])).
% 23.89/15.60 tff(271,plain,
% 23.89/15.60 (v1(constB162) <=> v1(constB162)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(272,axiom,(v1(constB162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_162_1')).
% 23.89/15.60 tff(273,plain,
% 23.89/15.60 (v1(constB162)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[272, 271])).
% 23.89/15.60 tff(274,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[273, 270])).
% 23.89/15.60 tff(275,plain,((~(constB162 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(276,plain,
% 23.89/15.60 (~(constB162 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[275, 1])).
% 23.89/15.60 tff(277,assumption,(constB56 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(278,plain,
% 23.89/15.60 (v1(constB56) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[277])).
% 23.89/15.60 tff(279,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB56)),
% 23.89/15.60 inference(symmetry,[status(thm)],[278])).
% 23.89/15.60 tff(280,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB56))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[279])).
% 23.89/15.60 tff(281,plain,
% 23.89/15.60 (~v1(constB56)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 280])).
% 23.89/15.60 tff(282,plain,
% 23.89/15.60 (v1(constB56) <=> v1(constB56)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(283,axiom,(v1(constB56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_56_1')).
% 23.89/15.60 tff(284,plain,
% 23.89/15.60 (v1(constB56)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[283, 282])).
% 23.89/15.60 tff(285,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[284, 281])).
% 23.89/15.60 tff(286,plain,((~(constB56 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(287,plain,
% 23.89/15.60 (~(constB56 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[286, 1])).
% 23.89/15.60 tff(288,assumption,(constB166 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(289,plain,
% 23.89/15.60 (v1(constB166) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[288])).
% 23.89/15.60 tff(290,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB166)),
% 23.89/15.60 inference(symmetry,[status(thm)],[289])).
% 23.89/15.60 tff(291,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB166))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[290])).
% 23.89/15.60 tff(292,plain,
% 23.89/15.60 (~v1(constB166)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 291])).
% 23.89/15.60 tff(293,plain,
% 23.89/15.60 (v1(constB166) <=> v1(constB166)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(294,axiom,(v1(constB166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_166_1')).
% 23.89/15.60 tff(295,plain,
% 23.89/15.60 (v1(constB166)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[294, 293])).
% 23.89/15.60 tff(296,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[295, 292])).
% 23.89/15.60 tff(297,plain,((~(constB166 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(298,plain,
% 23.89/15.60 (~(constB166 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[297, 1])).
% 23.89/15.60 tff(299,assumption,(constB66 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(300,plain,
% 23.89/15.60 (v1(constB66) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[299])).
% 23.89/15.60 tff(301,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB66)),
% 23.89/15.60 inference(symmetry,[status(thm)],[300])).
% 23.89/15.60 tff(302,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB66))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[301])).
% 23.89/15.60 tff(303,plain,
% 23.89/15.60 (~v1(constB66)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 302])).
% 23.89/15.60 tff(304,plain,
% 23.89/15.60 (v1(constB66) <=> v1(constB66)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(305,axiom,(v1(constB66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_66_1')).
% 23.89/15.60 tff(306,plain,
% 23.89/15.60 (v1(constB66)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[305, 304])).
% 23.89/15.60 tff(307,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[306, 303])).
% 23.89/15.60 tff(308,plain,((~(constB66 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(309,plain,
% 23.89/15.60 (~(constB66 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[308, 1])).
% 23.89/15.60 tff(310,assumption,(constB76 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(311,plain,
% 23.89/15.60 (v1(constB76) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[310])).
% 23.89/15.60 tff(312,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB76)),
% 23.89/15.60 inference(symmetry,[status(thm)],[311])).
% 23.89/15.60 tff(313,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB76))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[312])).
% 23.89/15.60 tff(314,plain,
% 23.89/15.60 (~v1(constB76)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 313])).
% 23.89/15.60 tff(315,plain,
% 23.89/15.60 (v1(constB76) <=> v1(constB76)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(316,axiom,(v1(constB76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_76_1')).
% 23.89/15.60 tff(317,plain,
% 23.89/15.60 (v1(constB76)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[316, 315])).
% 23.89/15.60 tff(318,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[317, 314])).
% 23.89/15.60 tff(319,plain,((~(constB76 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(320,plain,
% 23.89/15.60 (~(constB76 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[319, 1])).
% 23.89/15.60 tff(321,assumption,(constB152 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(322,plain,
% 23.89/15.60 (v1(constB152) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[321])).
% 23.89/15.60 tff(323,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB152)),
% 23.89/15.60 inference(symmetry,[status(thm)],[322])).
% 23.89/15.60 tff(324,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB152))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[323])).
% 23.89/15.60 tff(325,plain,
% 23.89/15.60 (~v1(constB152)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 324])).
% 23.89/15.60 tff(326,plain,
% 23.89/15.60 (v1(constB152) <=> v1(constB152)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(327,axiom,(v1(constB152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_152_1')).
% 23.89/15.60 tff(328,plain,
% 23.89/15.60 (v1(constB152)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[327, 326])).
% 23.89/15.60 tff(329,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[328, 325])).
% 23.89/15.60 tff(330,plain,((~(constB152 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(331,plain,
% 23.89/15.60 (~(constB152 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[330, 1])).
% 23.89/15.60 tff(332,assumption,(constB6 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(333,plain,
% 23.89/15.60 (v1(constB6) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[332])).
% 23.89/15.60 tff(334,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB6)),
% 23.89/15.60 inference(symmetry,[status(thm)],[333])).
% 23.89/15.60 tff(335,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB6))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[334])).
% 23.89/15.60 tff(336,plain,
% 23.89/15.60 (~v1(constB6)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 335])).
% 23.89/15.60 tff(337,plain,
% 23.89/15.60 (v1(constB6) <=> v1(constB6)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(338,axiom,(v1(constB6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_6_1')).
% 23.89/15.60 tff(339,plain,
% 23.89/15.60 (v1(constB6)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[338, 337])).
% 23.89/15.60 tff(340,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[339, 336])).
% 23.89/15.60 tff(341,plain,((~(constB6 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(342,plain,
% 23.89/15.60 (~(constB6 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[341, 1])).
% 23.89/15.60 tff(343,assumption,(constB54 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(344,plain,
% 23.89/15.60 (v1(constB54) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[343])).
% 23.89/15.60 tff(345,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB54)),
% 23.89/15.60 inference(symmetry,[status(thm)],[344])).
% 23.89/15.60 tff(346,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB54))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[345])).
% 23.89/15.60 tff(347,plain,
% 23.89/15.60 (~v1(constB54)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 346])).
% 23.89/15.60 tff(348,plain,
% 23.89/15.60 (v1(constB54) <=> v1(constB54)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(349,axiom,(v1(constB54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_54_1')).
% 23.89/15.60 tff(350,plain,
% 23.89/15.60 (v1(constB54)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[349, 348])).
% 23.89/15.60 tff(351,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[350, 347])).
% 23.89/15.60 tff(352,plain,((~(constB54 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(353,plain,
% 23.89/15.60 (~(constB54 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[352, 1])).
% 23.89/15.60 tff(354,assumption,(constB10 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(355,plain,
% 23.89/15.60 (v1(constB10) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[354])).
% 23.89/15.60 tff(356,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB10)),
% 23.89/15.60 inference(symmetry,[status(thm)],[355])).
% 23.89/15.60 tff(357,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB10))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[356])).
% 23.89/15.60 tff(358,plain,
% 23.89/15.60 (~v1(constB10)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 357])).
% 23.89/15.60 tff(359,plain,
% 23.89/15.60 (v1(constB10) <=> v1(constB10)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(360,axiom,(v1(constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_10_1')).
% 23.89/15.60 tff(361,plain,
% 23.89/15.60 (v1(constB10)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[360, 359])).
% 23.89/15.60 tff(362,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[361, 358])).
% 23.89/15.60 tff(363,plain,((~(constB10 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(364,plain,
% 23.89/15.60 (~(constB10 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[363, 1])).
% 23.89/15.60 tff(365,assumption,(constB30 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(366,plain,
% 23.89/15.60 (v1(constB30) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[365])).
% 23.89/15.60 tff(367,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB30)),
% 23.89/15.60 inference(symmetry,[status(thm)],[366])).
% 23.89/15.60 tff(368,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB30))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[367])).
% 23.89/15.60 tff(369,plain,
% 23.89/15.60 (~v1(constB30)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 368])).
% 23.89/15.60 tff(370,plain,
% 23.89/15.60 (v1(constB30) <=> v1(constB30)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(371,axiom,(v1(constB30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_30_1')).
% 23.89/15.60 tff(372,plain,
% 23.89/15.60 (v1(constB30)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[371, 370])).
% 23.89/15.60 tff(373,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[372, 369])).
% 23.89/15.60 tff(374,plain,((~(constB30 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(375,plain,
% 23.89/15.60 (~(constB30 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[374, 1])).
% 23.89/15.60 tff(376,assumption,(constB92 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(377,plain,
% 23.89/15.60 (v1(constB92) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[376])).
% 23.89/15.60 tff(378,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB92)),
% 23.89/15.60 inference(symmetry,[status(thm)],[377])).
% 23.89/15.60 tff(379,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB92))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[378])).
% 23.89/15.60 tff(380,plain,
% 23.89/15.60 (~v1(constB92)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 379])).
% 23.89/15.60 tff(381,plain,
% 23.89/15.60 (v1(constB92) <=> v1(constB92)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(382,axiom,(v1(constB92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_92_1')).
% 23.89/15.60 tff(383,plain,
% 23.89/15.60 (v1(constB92)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[382, 381])).
% 23.89/15.60 tff(384,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[383, 380])).
% 23.89/15.60 tff(385,plain,((~(constB92 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(386,plain,
% 23.89/15.60 (~(constB92 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[385, 1])).
% 23.89/15.60 tff(387,assumption,(constB198 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(388,plain,
% 23.89/15.60 (v1(constB198) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[387])).
% 23.89/15.60 tff(389,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB198)),
% 23.89/15.60 inference(symmetry,[status(thm)],[388])).
% 23.89/15.60 tff(390,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB198))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[389])).
% 23.89/15.60 tff(391,plain,
% 23.89/15.60 (~v1(constB198)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 390])).
% 23.89/15.60 tff(392,plain,
% 23.89/15.60 (v1(constB198) <=> v1(constB198)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(393,axiom,(v1(constB198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_198_1')).
% 23.89/15.60 tff(394,plain,
% 23.89/15.60 (v1(constB198)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[393, 392])).
% 23.89/15.60 tff(395,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[394, 391])).
% 23.89/15.60 tff(396,plain,((~(constB198 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(397,plain,
% 23.89/15.60 (~(constB198 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[396, 1])).
% 23.89/15.60 tff(398,assumption,(constB136 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(399,plain,
% 23.89/15.60 (v1(constB136) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[398])).
% 23.89/15.60 tff(400,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB136)),
% 23.89/15.60 inference(symmetry,[status(thm)],[399])).
% 23.89/15.60 tff(401,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB136))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[400])).
% 23.89/15.60 tff(402,plain,
% 23.89/15.60 (~v1(constB136)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 401])).
% 23.89/15.60 tff(403,plain,
% 23.89/15.60 (v1(constB136) <=> v1(constB136)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(404,axiom,(v1(constB136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_136_1')).
% 23.89/15.60 tff(405,plain,
% 23.89/15.60 (v1(constB136)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[404, 403])).
% 23.89/15.60 tff(406,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[405, 402])).
% 23.89/15.60 tff(407,plain,((~(constB136 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(408,plain,
% 23.89/15.60 (~(constB136 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[407, 1])).
% 23.89/15.60 tff(409,assumption,(constB156 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(410,plain,
% 23.89/15.60 (v1(constB156) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[409])).
% 23.89/15.60 tff(411,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB156)),
% 23.89/15.60 inference(symmetry,[status(thm)],[410])).
% 23.89/15.60 tff(412,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB156))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[411])).
% 23.89/15.60 tff(413,plain,
% 23.89/15.60 (~v1(constB156)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 412])).
% 23.89/15.60 tff(414,plain,
% 23.89/15.60 (v1(constB156) <=> v1(constB156)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(415,axiom,(v1(constB156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_156_1')).
% 23.89/15.60 tff(416,plain,
% 23.89/15.60 (v1(constB156)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[415, 414])).
% 23.89/15.60 tff(417,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[416, 413])).
% 23.89/15.60 tff(418,plain,((~(constB156 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(419,plain,
% 23.89/15.60 (~(constB156 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[418, 1])).
% 23.89/15.60 tff(420,assumption,(constB100 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(421,plain,
% 23.89/15.60 (v1(constB100) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[420])).
% 23.89/15.60 tff(422,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB100)),
% 23.89/15.60 inference(symmetry,[status(thm)],[421])).
% 23.89/15.60 tff(423,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB100))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[422])).
% 23.89/15.60 tff(424,plain,
% 23.89/15.60 (~v1(constB100)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 423])).
% 23.89/15.60 tff(425,plain,
% 23.89/15.60 (v1(constB100) <=> v1(constB100)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(426,axiom,(v1(constB100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_100_1')).
% 23.89/15.60 tff(427,plain,
% 23.89/15.60 (v1(constB100)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[426, 425])).
% 23.89/15.60 tff(428,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[427, 424])).
% 23.89/15.60 tff(429,plain,((~(constB100 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(430,plain,
% 23.89/15.60 (~(constB100 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[429, 1])).
% 23.89/15.60 tff(431,assumption,(constB146 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(432,plain,
% 23.89/15.60 (v1(constB146) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[431])).
% 23.89/15.60 tff(433,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB146)),
% 23.89/15.60 inference(symmetry,[status(thm)],[432])).
% 23.89/15.60 tff(434,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB146))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[433])).
% 23.89/15.60 tff(435,plain,
% 23.89/15.60 (~v1(constB146)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 434])).
% 23.89/15.60 tff(436,plain,
% 23.89/15.60 (v1(constB146) <=> v1(constB146)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(437,axiom,(v1(constB146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_146_1')).
% 23.89/15.60 tff(438,plain,
% 23.89/15.60 (v1(constB146)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[437, 436])).
% 23.89/15.60 tff(439,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[438, 435])).
% 23.89/15.60 tff(440,plain,((~(constB146 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(441,plain,
% 23.89/15.60 (~(constB146 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[440, 1])).
% 23.89/15.60 tff(442,assumption,(constB50 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(443,plain,
% 23.89/15.60 (v1(constB50) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[442])).
% 23.89/15.60 tff(444,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB50)),
% 23.89/15.60 inference(symmetry,[status(thm)],[443])).
% 23.89/15.60 tff(445,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB50))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[444])).
% 23.89/15.60 tff(446,plain,
% 23.89/15.60 (~v1(constB50)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 445])).
% 23.89/15.60 tff(447,plain,
% 23.89/15.60 (v1(constB50) <=> v1(constB50)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(448,axiom,(v1(constB50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_50_1')).
% 23.89/15.60 tff(449,plain,
% 23.89/15.60 (v1(constB50)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[448, 447])).
% 23.89/15.60 tff(450,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[449, 446])).
% 23.89/15.60 tff(451,plain,((~(constB50 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(452,plain,
% 23.89/15.60 (~(constB50 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[451, 1])).
% 23.89/15.60 tff(453,assumption,(constB18 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(454,plain,
% 23.89/15.60 (v1(constB18) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[453])).
% 23.89/15.60 tff(455,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB18)),
% 23.89/15.60 inference(symmetry,[status(thm)],[454])).
% 23.89/15.60 tff(456,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB18))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[455])).
% 23.89/15.60 tff(457,plain,
% 23.89/15.60 (~v1(constB18)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 456])).
% 23.89/15.60 tff(458,plain,
% 23.89/15.60 (v1(constB18) <=> v1(constB18)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(459,axiom,(v1(constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_18_1')).
% 23.89/15.60 tff(460,plain,
% 23.89/15.60 (v1(constB18)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[459, 458])).
% 23.89/15.60 tff(461,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[460, 457])).
% 23.89/15.60 tff(462,plain,((~(constB18 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(463,plain,
% 23.89/15.60 (~(constB18 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[462, 1])).
% 23.89/15.60 tff(464,assumption,(constB170 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(465,plain,
% 23.89/15.60 (v1(constB170) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[464])).
% 23.89/15.60 tff(466,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB170)),
% 23.89/15.60 inference(symmetry,[status(thm)],[465])).
% 23.89/15.60 tff(467,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB170))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[466])).
% 23.89/15.60 tff(468,plain,
% 23.89/15.60 (~v1(constB170)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 467])).
% 23.89/15.60 tff(469,plain,
% 23.89/15.60 (v1(constB170) <=> v1(constB170)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(470,axiom,(v1(constB170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_170_1')).
% 23.89/15.60 tff(471,plain,
% 23.89/15.60 (v1(constB170)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[470, 469])).
% 23.89/15.60 tff(472,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[471, 468])).
% 23.89/15.60 tff(473,plain,((~(constB170 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(474,plain,
% 23.89/15.60 (~(constB170 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[473, 1])).
% 23.89/15.60 tff(475,assumption,(constB104 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(476,plain,
% 23.89/15.60 (v1(constB104) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[475])).
% 23.89/15.60 tff(477,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB104)),
% 23.89/15.60 inference(symmetry,[status(thm)],[476])).
% 23.89/15.60 tff(478,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB104))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[477])).
% 23.89/15.60 tff(479,plain,
% 23.89/15.60 (~v1(constB104)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 478])).
% 23.89/15.60 tff(480,plain,
% 23.89/15.60 (v1(constB104) <=> v1(constB104)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(481,axiom,(v1(constB104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_104_1')).
% 23.89/15.60 tff(482,plain,
% 23.89/15.60 (v1(constB104)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[481, 480])).
% 23.89/15.60 tff(483,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[482, 479])).
% 23.89/15.60 tff(484,plain,((~(constB104 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(485,plain,
% 23.89/15.60 (~(constB104 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[484, 1])).
% 23.89/15.60 tff(486,assumption,(constB94 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(487,plain,
% 23.89/15.60 (v1(constB94) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[486])).
% 23.89/15.60 tff(488,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB94)),
% 23.89/15.60 inference(symmetry,[status(thm)],[487])).
% 23.89/15.60 tff(489,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB94))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[488])).
% 23.89/15.60 tff(490,plain,
% 23.89/15.60 (~v1(constB94)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 489])).
% 23.89/15.60 tff(491,plain,
% 23.89/15.60 (v1(constB94) <=> v1(constB94)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(492,axiom,(v1(constB94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_94_1')).
% 23.89/15.60 tff(493,plain,
% 23.89/15.60 (v1(constB94)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[492, 491])).
% 23.89/15.60 tff(494,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[493, 490])).
% 23.89/15.60 tff(495,plain,((~(constB94 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(496,plain,
% 23.89/15.60 (~(constB94 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[495, 1])).
% 23.89/15.60 tff(497,assumption,(constB42 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(498,plain,
% 23.89/15.60 (v1(constB42) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[497])).
% 23.89/15.60 tff(499,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB42)),
% 23.89/15.60 inference(symmetry,[status(thm)],[498])).
% 23.89/15.60 tff(500,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB42))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[499])).
% 23.89/15.60 tff(501,plain,
% 23.89/15.60 (~v1(constB42)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 500])).
% 23.89/15.60 tff(502,plain,
% 23.89/15.60 (v1(constB42) <=> v1(constB42)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(503,axiom,(v1(constB42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_42_1')).
% 23.89/15.60 tff(504,plain,
% 23.89/15.60 (v1(constB42)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[503, 502])).
% 23.89/15.60 tff(505,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[504, 501])).
% 23.89/15.60 tff(506,plain,((~(constB42 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(507,plain,
% 23.89/15.60 (~(constB42 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[506, 1])).
% 23.89/15.60 tff(508,assumption,(constB48 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(509,plain,
% 23.89/15.60 (v1(constB48) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[508])).
% 23.89/15.60 tff(510,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB48)),
% 23.89/15.60 inference(symmetry,[status(thm)],[509])).
% 23.89/15.60 tff(511,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB48))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[510])).
% 23.89/15.60 tff(512,plain,
% 23.89/15.60 (~v1(constB48)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 511])).
% 23.89/15.60 tff(513,plain,
% 23.89/15.60 (v1(constB48) <=> v1(constB48)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(514,axiom,(v1(constB48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_48_1')).
% 23.89/15.60 tff(515,plain,
% 23.89/15.60 (v1(constB48)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[514, 513])).
% 23.89/15.60 tff(516,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[515, 512])).
% 23.89/15.60 tff(517,plain,((~(constB48 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(518,plain,
% 23.89/15.60 (~(constB48 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[517, 1])).
% 23.89/15.60 tff(519,assumption,(constB148 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(520,plain,
% 23.89/15.60 (v1(constB148) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[519])).
% 23.89/15.60 tff(521,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB148)),
% 23.89/15.60 inference(symmetry,[status(thm)],[520])).
% 23.89/15.60 tff(522,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB148))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[521])).
% 23.89/15.60 tff(523,plain,
% 23.89/15.60 (~v1(constB148)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 522])).
% 23.89/15.60 tff(524,plain,
% 23.89/15.60 (v1(constB148) <=> v1(constB148)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(525,axiom,(v1(constB148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_148_1')).
% 23.89/15.60 tff(526,plain,
% 23.89/15.60 (v1(constB148)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[525, 524])).
% 23.89/15.60 tff(527,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[526, 523])).
% 23.89/15.60 tff(528,plain,((~(constB148 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(529,plain,
% 23.89/15.60 (~(constB148 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[528, 1])).
% 23.89/15.60 tff(530,assumption,(constB28 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(531,plain,
% 23.89/15.60 (v1(constB28) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[530])).
% 23.89/15.60 tff(532,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB28)),
% 23.89/15.60 inference(symmetry,[status(thm)],[531])).
% 23.89/15.60 tff(533,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB28))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[532])).
% 23.89/15.60 tff(534,plain,
% 23.89/15.60 (~v1(constB28)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 533])).
% 23.89/15.60 tff(535,plain,
% 23.89/15.60 (v1(constB28) <=> v1(constB28)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(536,axiom,(v1(constB28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_28_1')).
% 23.89/15.60 tff(537,plain,
% 23.89/15.60 (v1(constB28)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[536, 535])).
% 23.89/15.60 tff(538,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[537, 534])).
% 23.89/15.60 tff(539,plain,((~(constB28 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(540,plain,
% 23.89/15.60 (~(constB28 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[539, 1])).
% 23.89/15.60 tff(541,assumption,(constB36 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(542,plain,
% 23.89/15.60 (v1(constB36) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[541])).
% 23.89/15.60 tff(543,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB36)),
% 23.89/15.60 inference(symmetry,[status(thm)],[542])).
% 23.89/15.60 tff(544,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB36))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[543])).
% 23.89/15.60 tff(545,plain,
% 23.89/15.60 (~v1(constB36)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 544])).
% 23.89/15.60 tff(546,plain,
% 23.89/15.60 (v1(constB36) <=> v1(constB36)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(547,axiom,(v1(constB36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_36_1')).
% 23.89/15.60 tff(548,plain,
% 23.89/15.60 (v1(constB36)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[547, 546])).
% 23.89/15.60 tff(549,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[548, 545])).
% 23.89/15.60 tff(550,plain,((~(constB36 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(551,plain,
% 23.89/15.60 (~(constB36 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[550, 1])).
% 23.89/15.60 tff(552,assumption,(constB134 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(553,plain,
% 23.89/15.60 (v1(constB134) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[552])).
% 23.89/15.60 tff(554,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB134)),
% 23.89/15.60 inference(symmetry,[status(thm)],[553])).
% 23.89/15.60 tff(555,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB134))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[554])).
% 23.89/15.60 tff(556,plain,
% 23.89/15.60 (~v1(constB134)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 555])).
% 23.89/15.60 tff(557,plain,
% 23.89/15.60 (v1(constB134) <=> v1(constB134)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(558,axiom,(v1(constB134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_134_1')).
% 23.89/15.60 tff(559,plain,
% 23.89/15.60 (v1(constB134)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[558, 557])).
% 23.89/15.60 tff(560,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[559, 556])).
% 23.89/15.60 tff(561,plain,((~(constB134 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(562,plain,
% 23.89/15.60 (~(constB134 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[561, 1])).
% 23.89/15.60 tff(563,assumption,(constB192 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(564,plain,
% 23.89/15.60 (v1(constB192) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[563])).
% 23.89/15.60 tff(565,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB192)),
% 23.89/15.60 inference(symmetry,[status(thm)],[564])).
% 23.89/15.60 tff(566,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB192))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[565])).
% 23.89/15.60 tff(567,plain,
% 23.89/15.60 (~v1(constB192)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 566])).
% 23.89/15.60 tff(568,plain,
% 23.89/15.60 (v1(constB192) <=> v1(constB192)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(569,axiom,(v1(constB192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_192_1')).
% 23.89/15.60 tff(570,plain,
% 23.89/15.60 (v1(constB192)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[569, 568])).
% 23.89/15.60 tff(571,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[570, 567])).
% 23.89/15.60 tff(572,plain,((~(constB192 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(573,plain,
% 23.89/15.60 (~(constB192 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[572, 1])).
% 23.89/15.60 tff(574,assumption,(constB140 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(575,plain,
% 23.89/15.60 (v1(constB140) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[574])).
% 23.89/15.60 tff(576,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB140)),
% 23.89/15.60 inference(symmetry,[status(thm)],[575])).
% 23.89/15.60 tff(577,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB140))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[576])).
% 23.89/15.60 tff(578,plain,
% 23.89/15.60 (~v1(constB140)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 577])).
% 23.89/15.60 tff(579,plain,
% 23.89/15.60 (v1(constB140) <=> v1(constB140)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(580,axiom,(v1(constB140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_140_1')).
% 23.89/15.60 tff(581,plain,
% 23.89/15.60 (v1(constB140)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[580, 579])).
% 23.89/15.60 tff(582,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[581, 578])).
% 23.89/15.60 tff(583,plain,((~(constB140 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(584,plain,
% 23.89/15.60 (~(constB140 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[583, 1])).
% 23.89/15.60 tff(585,assumption,(constB4 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(586,plain,
% 23.89/15.60 (v1(constB4) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[585])).
% 23.89/15.60 tff(587,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB4)),
% 23.89/15.60 inference(symmetry,[status(thm)],[586])).
% 23.89/15.60 tff(588,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB4))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[587])).
% 23.89/15.60 tff(589,plain,
% 23.89/15.60 (~v1(constB4)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 588])).
% 23.89/15.60 tff(590,plain,
% 23.89/15.60 (v1(constB4) <=> v1(constB4)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(591,axiom,(v1(constB4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_4_1')).
% 23.89/15.60 tff(592,plain,
% 23.89/15.60 (v1(constB4)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[591, 590])).
% 23.89/15.60 tff(593,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[592, 589])).
% 23.89/15.60 tff(594,plain,((~(constB4 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(595,plain,
% 23.89/15.60 (~(constB4 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[594, 1])).
% 23.89/15.60 tff(596,assumption,(constB114 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(597,plain,
% 23.89/15.60 (v1(constB114) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[596])).
% 23.89/15.60 tff(598,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB114)),
% 23.89/15.60 inference(symmetry,[status(thm)],[597])).
% 23.89/15.60 tff(599,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB114))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[598])).
% 23.89/15.60 tff(600,plain,
% 23.89/15.60 (~v1(constB114)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 599])).
% 23.89/15.60 tff(601,plain,
% 23.89/15.60 (v1(constB114) <=> v1(constB114)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(602,axiom,(v1(constB114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_114_1')).
% 23.89/15.60 tff(603,plain,
% 23.89/15.60 (v1(constB114)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[602, 601])).
% 23.89/15.60 tff(604,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[603, 600])).
% 23.89/15.60 tff(605,plain,((~(constB114 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(606,plain,
% 23.89/15.60 (~(constB114 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[605, 1])).
% 23.89/15.60 tff(607,assumption,(constB72 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(608,plain,
% 23.89/15.60 (v1(constB72) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[607])).
% 23.89/15.60 tff(609,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB72)),
% 23.89/15.60 inference(symmetry,[status(thm)],[608])).
% 23.89/15.60 tff(610,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB72))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[609])).
% 23.89/15.60 tff(611,plain,
% 23.89/15.60 (~v1(constB72)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 610])).
% 23.89/15.60 tff(612,plain,
% 23.89/15.60 (v1(constB72) <=> v1(constB72)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(613,axiom,(v1(constB72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_72_1')).
% 23.89/15.60 tff(614,plain,
% 23.89/15.60 (v1(constB72)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[613, 612])).
% 23.89/15.60 tff(615,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[614, 611])).
% 23.89/15.60 tff(616,plain,((~(constB72 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(617,plain,
% 23.89/15.60 (~(constB72 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[616, 1])).
% 23.89/15.60 tff(618,assumption,(constB32 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(619,plain,
% 23.89/15.60 (v1(constB32) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[618])).
% 23.89/15.60 tff(620,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB32)),
% 23.89/15.60 inference(symmetry,[status(thm)],[619])).
% 23.89/15.60 tff(621,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB32))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[620])).
% 23.89/15.60 tff(622,plain,
% 23.89/15.60 (~v1(constB32)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 621])).
% 23.89/15.60 tff(623,plain,
% 23.89/15.60 (v1(constB32) <=> v1(constB32)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(624,axiom,(v1(constB32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_32_1')).
% 23.89/15.60 tff(625,plain,
% 23.89/15.60 (v1(constB32)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[624, 623])).
% 23.89/15.60 tff(626,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[625, 622])).
% 23.89/15.60 tff(627,plain,((~(constB32 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(628,plain,
% 23.89/15.60 (~(constB32 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[627, 1])).
% 23.89/15.60 tff(629,assumption,(constB86 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(630,plain,
% 23.89/15.60 (v1(constB86) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[629])).
% 23.89/15.60 tff(631,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB86)),
% 23.89/15.60 inference(symmetry,[status(thm)],[630])).
% 23.89/15.60 tff(632,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB86))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[631])).
% 23.89/15.60 tff(633,plain,
% 23.89/15.60 (~v1(constB86)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 632])).
% 23.89/15.60 tff(634,plain,
% 23.89/15.60 (v1(constB86) <=> v1(constB86)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(635,axiom,(v1(constB86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_86_1')).
% 23.89/15.60 tff(636,plain,
% 23.89/15.60 (v1(constB86)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[635, 634])).
% 23.89/15.60 tff(637,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[636, 633])).
% 23.89/15.60 tff(638,plain,((~(constB86 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(639,plain,
% 23.89/15.60 (~(constB86 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[638, 1])).
% 23.89/15.60 tff(640,assumption,(constB60 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(641,plain,
% 23.89/15.60 (v1(constB60) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[640])).
% 23.89/15.60 tff(642,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB60)),
% 23.89/15.60 inference(symmetry,[status(thm)],[641])).
% 23.89/15.60 tff(643,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB60))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[642])).
% 23.89/15.60 tff(644,plain,
% 23.89/15.60 (~v1(constB60)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 643])).
% 23.89/15.60 tff(645,plain,
% 23.89/15.60 (v1(constB60) <=> v1(constB60)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(646,axiom,(v1(constB60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_60_1')).
% 23.89/15.60 tff(647,plain,
% 23.89/15.60 (v1(constB60)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[646, 645])).
% 23.89/15.60 tff(648,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[647, 644])).
% 23.89/15.60 tff(649,plain,((~(constB60 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(650,plain,
% 23.89/15.60 (~(constB60 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[649, 1])).
% 23.89/15.60 tff(651,assumption,(constB150 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(652,plain,
% 23.89/15.60 (v1(constB150) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[651])).
% 23.89/15.60 tff(653,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB150)),
% 23.89/15.60 inference(symmetry,[status(thm)],[652])).
% 23.89/15.60 tff(654,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB150))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[653])).
% 23.89/15.60 tff(655,plain,
% 23.89/15.60 (~v1(constB150)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 654])).
% 23.89/15.60 tff(656,plain,
% 23.89/15.60 (v1(constB150) <=> v1(constB150)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(657,axiom,(v1(constB150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_150_1')).
% 23.89/15.60 tff(658,plain,
% 23.89/15.60 (v1(constB150)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[657, 656])).
% 23.89/15.60 tff(659,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[658, 655])).
% 23.89/15.60 tff(660,plain,((~(constB150 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(661,plain,
% 23.89/15.60 (~(constB150 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[660, 1])).
% 23.89/15.60 tff(662,assumption,(constB64 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(663,plain,
% 23.89/15.60 (v1(constB64) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[662])).
% 23.89/15.60 tff(664,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB64)),
% 23.89/15.60 inference(symmetry,[status(thm)],[663])).
% 23.89/15.60 tff(665,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB64))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[664])).
% 23.89/15.60 tff(666,plain,
% 23.89/15.60 (~v1(constB64)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 665])).
% 23.89/15.60 tff(667,plain,
% 23.89/15.60 (v1(constB64) <=> v1(constB64)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(668,axiom,(v1(constB64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_64_1')).
% 23.89/15.60 tff(669,plain,
% 23.89/15.60 (v1(constB64)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[668, 667])).
% 23.89/15.60 tff(670,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[669, 666])).
% 23.89/15.60 tff(671,plain,((~(constB64 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(672,plain,
% 23.89/15.60 (~(constB64 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[671, 1])).
% 23.89/15.60 tff(673,assumption,(constB88 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(674,plain,
% 23.89/15.60 (v1(constB88) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[673])).
% 23.89/15.60 tff(675,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB88)),
% 23.89/15.60 inference(symmetry,[status(thm)],[674])).
% 23.89/15.60 tff(676,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB88))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[675])).
% 23.89/15.60 tff(677,plain,
% 23.89/15.60 (~v1(constB88)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 676])).
% 23.89/15.60 tff(678,plain,
% 23.89/15.60 (v1(constB88) <=> v1(constB88)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(679,axiom,(v1(constB88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_88_1')).
% 23.89/15.60 tff(680,plain,
% 23.89/15.60 (v1(constB88)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[679, 678])).
% 23.89/15.60 tff(681,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[680, 677])).
% 23.89/15.60 tff(682,plain,((~(constB88 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(683,plain,
% 23.89/15.60 (~(constB88 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[682, 1])).
% 23.89/15.60 tff(684,assumption,(constB160 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(685,plain,
% 23.89/15.60 (v1(constB160) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[684])).
% 23.89/15.60 tff(686,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB160)),
% 23.89/15.60 inference(symmetry,[status(thm)],[685])).
% 23.89/15.60 tff(687,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB160))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[686])).
% 23.89/15.60 tff(688,plain,
% 23.89/15.60 (~v1(constB160)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 687])).
% 23.89/15.60 tff(689,plain,
% 23.89/15.60 (v1(constB160) <=> v1(constB160)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(690,axiom,(v1(constB160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_160_1')).
% 23.89/15.60 tff(691,plain,
% 23.89/15.60 (v1(constB160)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[690, 689])).
% 23.89/15.60 tff(692,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[691, 688])).
% 23.89/15.60 tff(693,plain,((~(constB160 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(694,plain,
% 23.89/15.60 (~(constB160 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[693, 1])).
% 23.89/15.60 tff(695,assumption,(constB2 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(696,plain,
% 23.89/15.60 (v1(constB2) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[695])).
% 23.89/15.60 tff(697,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB2)),
% 23.89/15.60 inference(symmetry,[status(thm)],[696])).
% 23.89/15.60 tff(698,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB2))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[697])).
% 23.89/15.60 tff(699,plain,
% 23.89/15.60 (~v1(constB2)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 698])).
% 23.89/15.60 tff(700,plain,
% 23.89/15.60 (v1(constB2) <=> v1(constB2)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(701,axiom,(v1(constB2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_2_1')).
% 23.89/15.60 tff(702,plain,
% 23.89/15.60 (v1(constB2)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[701, 700])).
% 23.89/15.60 tff(703,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[702, 699])).
% 23.89/15.60 tff(704,plain,((~(constB2 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(705,plain,
% 23.89/15.60 (~(constB2 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[704, 1])).
% 23.89/15.60 tff(706,assumption,(constB138 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(707,plain,
% 23.89/15.60 (v1(constB138) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[706])).
% 23.89/15.60 tff(708,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB138)),
% 23.89/15.60 inference(symmetry,[status(thm)],[707])).
% 23.89/15.60 tff(709,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB138))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[708])).
% 23.89/15.60 tff(710,plain,
% 23.89/15.60 (~v1(constB138)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 709])).
% 23.89/15.60 tff(711,plain,
% 23.89/15.60 (v1(constB138) <=> v1(constB138)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(712,axiom,(v1(constB138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_138_1')).
% 23.89/15.60 tff(713,plain,
% 23.89/15.60 (v1(constB138)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[712, 711])).
% 23.89/15.60 tff(714,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[713, 710])).
% 23.89/15.60 tff(715,plain,((~(constB138 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(716,plain,
% 23.89/15.60 (~(constB138 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[715, 1])).
% 23.89/15.60 tff(717,assumption,(constB106 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(718,plain,
% 23.89/15.60 (v1(constB106) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[717])).
% 23.89/15.60 tff(719,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB106)),
% 23.89/15.60 inference(symmetry,[status(thm)],[718])).
% 23.89/15.60 tff(720,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB106))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[719])).
% 23.89/15.60 tff(721,plain,
% 23.89/15.60 (~v1(constB106)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 720])).
% 23.89/15.60 tff(722,plain,
% 23.89/15.60 (v1(constB106) <=> v1(constB106)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(723,axiom,(v1(constB106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_106_1')).
% 23.89/15.60 tff(724,plain,
% 23.89/15.60 (v1(constB106)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[723, 722])).
% 23.89/15.60 tff(725,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[724, 721])).
% 23.89/15.60 tff(726,plain,((~(constB106 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(727,plain,
% 23.89/15.60 (~(constB106 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[726, 1])).
% 23.89/15.60 tff(728,assumption,(constB102 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(729,plain,
% 23.89/15.60 (v1(constB102) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[728])).
% 23.89/15.60 tff(730,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB102)),
% 23.89/15.60 inference(symmetry,[status(thm)],[729])).
% 23.89/15.60 tff(731,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB102))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[730])).
% 23.89/15.60 tff(732,plain,
% 23.89/15.60 (~v1(constB102)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 731])).
% 23.89/15.60 tff(733,plain,
% 23.89/15.60 (v1(constB102) <=> v1(constB102)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(734,axiom,(v1(constB102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_102_1')).
% 23.89/15.60 tff(735,plain,
% 23.89/15.60 (v1(constB102)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[734, 733])).
% 23.89/15.60 tff(736,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[735, 732])).
% 23.89/15.60 tff(737,plain,((~(constB102 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(738,plain,
% 23.89/15.60 (~(constB102 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[737, 1])).
% 23.89/15.60 tff(739,assumption,(constB78 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(740,plain,
% 23.89/15.60 (v1(constB78) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[739])).
% 23.89/15.60 tff(741,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB78)),
% 23.89/15.60 inference(symmetry,[status(thm)],[740])).
% 23.89/15.60 tff(742,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB78))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[741])).
% 23.89/15.60 tff(743,plain,
% 23.89/15.60 (~v1(constB78)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 742])).
% 23.89/15.60 tff(744,plain,
% 23.89/15.60 (v1(constB78) <=> v1(constB78)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(745,axiom,(v1(constB78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_78_1')).
% 23.89/15.60 tff(746,plain,
% 23.89/15.60 (v1(constB78)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[745, 744])).
% 23.89/15.60 tff(747,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[746, 743])).
% 23.89/15.60 tff(748,plain,((~(constB78 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(749,plain,
% 23.89/15.60 (~(constB78 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[748, 1])).
% 23.89/15.60 tff(750,assumption,(constB112 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(751,plain,
% 23.89/15.60 (v1(constB112) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[750])).
% 23.89/15.60 tff(752,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB112)),
% 23.89/15.60 inference(symmetry,[status(thm)],[751])).
% 23.89/15.60 tff(753,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB112))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[752])).
% 23.89/15.60 tff(754,plain,
% 23.89/15.60 (~v1(constB112)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 753])).
% 23.89/15.60 tff(755,plain,
% 23.89/15.60 (v1(constB112) <=> v1(constB112)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(756,axiom,(v1(constB112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_112_1')).
% 23.89/15.60 tff(757,plain,
% 23.89/15.60 (v1(constB112)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[756, 755])).
% 23.89/15.60 tff(758,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[757, 754])).
% 23.89/15.60 tff(759,plain,((~(constB112 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(760,plain,
% 23.89/15.60 (~(constB112 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[759, 1])).
% 23.89/15.60 tff(761,assumption,(constB126 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(762,plain,
% 23.89/15.60 (v1(constB126) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[761])).
% 23.89/15.60 tff(763,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB126)),
% 23.89/15.60 inference(symmetry,[status(thm)],[762])).
% 23.89/15.60 tff(764,plain,
% 23.89/15.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB126))),
% 23.89/15.60 inference(monotonicity,[status(thm)],[763])).
% 23.89/15.60 tff(765,plain,
% 23.89/15.60 (~v1(constB126)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[1, 764])).
% 23.89/15.60 tff(766,plain,
% 23.89/15.60 (v1(constB126) <=> v1(constB126)),
% 23.89/15.60 inference(rewrite,[status(thm)],[])).
% 23.89/15.60 tff(767,axiom,(v1(constB126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_126_1')).
% 23.89/15.60 tff(768,plain,
% 23.89/15.60 (v1(constB126)),
% 23.89/15.60 inference(modus_ponens,[status(thm)],[767, 766])).
% 23.89/15.60 tff(769,plain,
% 23.89/15.60 ($false),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[768, 765])).
% 23.89/15.60 tff(770,plain,((~(constB126 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.60 tff(771,plain,
% 23.89/15.60 (~(constB126 = sK0_VarCurr)),
% 23.89/15.60 inference(unit_resolution,[status(thm)],[770, 1])).
% 23.89/15.60 tff(772,assumption,(constB46 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.60 tff(773,plain,
% 23.89/15.60 (v1(constB46) <=> v1(sK0_VarCurr)),
% 23.89/15.60 inference(monotonicity,[status(thm)],[772])).
% 23.89/15.60 tff(774,plain,
% 23.89/15.60 (v1(sK0_VarCurr) <=> v1(constB46)),
% 23.89/15.60 inference(symmetry,[status(thm)],[773])).
% 23.89/15.61 tff(775,plain,
% 23.89/15.61 ((~v1(sK0_VarCurr)) <=> (~v1(constB46))),
% 23.89/15.61 inference(monotonicity,[status(thm)],[774])).
% 23.89/15.61 tff(776,plain,
% 23.89/15.61 (~v1(constB46)),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[1, 775])).
% 23.89/15.61 tff(777,plain,
% 23.89/15.61 (v1(constB46) <=> v1(constB46)),
% 23.89/15.61 inference(rewrite,[status(thm)],[])).
% 23.89/15.61 tff(778,axiom,(v1(constB46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_46_1')).
% 23.89/15.61 tff(779,plain,
% 23.89/15.61 (v1(constB46)),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[778, 777])).
% 23.89/15.61 tff(780,plain,
% 23.89/15.61 ($false),
% 23.89/15.61 inference(unit_resolution,[status(thm)],[779, 776])).
% 23.89/15.61 tff(781,plain,((~(constB46 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.61 tff(782,plain,
% 23.89/15.61 (~(constB46 = sK0_VarCurr)),
% 23.89/15.61 inference(unit_resolution,[status(thm)],[781, 1])).
% 23.89/15.61 tff(783,assumption,(constB155 = sK0_VarCurr), introduced(assumption)).
% 23.89/15.61 tff(784,plain,
% 23.89/15.61 (v200(constB155) <=> v200(sK0_VarCurr)),
% 23.89/15.61 inference(monotonicity,[status(thm)],[783])).
% 23.89/15.61 tff(785,plain,
% 23.89/15.61 (v200(sK0_VarCurr) <=> v200(constB155)),
% 23.89/15.61 inference(symmetry,[status(thm)],[784])).
% 23.89/15.61 tff(786,plain,
% 23.89/15.61 (v200(sK0_VarCurr) <=> v200(sK0_VarCurr)),
% 23.89/15.61 inference(rewrite,[status(thm)],[])).
% 23.89/15.61 tff(787,axiom,(v200(sK0_VarCurr)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssertion_1_1_1')).
% 23.89/15.61 tff(788,plain,
% 23.89/15.61 (v200(sK0_VarCurr)),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[787, 786])).
% 23.89/15.61 tff(789,plain,
% 23.89/15.61 (v200(constB155)),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[788, 785])).
% 23.89/15.61 tff(790,assumption,(v26(constB121)), introduced(assumption)).
% 23.89/15.61 tff(791,plain,
% 23.89/15.61 (^[VarCurr: state_type] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 23.89/15.61 inference(bind,[status(th)],[])).
% 23.89/15.61 tff(792,plain,
% 23.89/15.61 (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 23.89/15.61 inference(quant_intro,[status(thm)],[791])).
% 23.89/15.61 tff(793,plain,
% 23.89/15.61 (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 23.89/15.61 inference(rewrite,[status(thm)],[])).
% 23.89/15.61 tff(794,axiom,(![VarCurr: state_type] : (~v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_1_1_1')).
% 23.89/15.61 tff(795,plain,
% 23.89/15.61 (![VarCurr: state_type] : (~v26(VarCurr))),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[794, 793])).
% 23.89/15.61 tff(796,plain,(
% 23.89/15.61 ![VarCurr: state_type] : (~v26(VarCurr))),
% 23.89/15.61 inference(skolemize,[status(sab)],[795])).
% 23.89/15.61 tff(797,plain,
% 23.89/15.61 (![VarCurr: state_type] : (~v26(VarCurr))),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[796, 792])).
% 23.89/15.61 tff(798,plain,
% 23.89/15.61 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB121))),
% 23.89/15.61 inference(quant_inst,[status(thm)],[])).
% 23.89/15.61 tff(799,plain,
% 23.89/15.61 ($false),
% 23.89/15.61 inference(unit_resolution,[status(thm)],[798, 797, 790])).
% 23.89/15.61 tff(800,plain,(~v26(constB121)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.61 tff(801,assumption,(v26(constB119)), introduced(assumption)).
% 23.89/15.61 tff(802,plain,
% 23.89/15.61 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB119))),
% 23.89/15.61 inference(quant_inst,[status(thm)],[])).
% 23.89/15.61 tff(803,plain,
% 23.89/15.61 ($false),
% 23.89/15.61 inference(unit_resolution,[status(thm)],[802, 797, 801])).
% 23.89/15.61 tff(804,plain,(~v26(constB119)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.61 tff(805,assumption,(v26(constB117)), introduced(assumption)).
% 23.89/15.61 tff(806,plain,
% 23.89/15.61 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB117))),
% 23.89/15.61 inference(quant_inst,[status(thm)],[])).
% 23.89/15.61 tff(807,plain,
% 23.89/15.61 ($false),
% 23.89/15.61 inference(unit_resolution,[status(thm)],[806, 797, 805])).
% 23.89/15.61 tff(808,plain,(~v26(constB117)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.61 tff(809,assumption,(v26(constB77)), introduced(assumption)).
% 23.89/15.61 tff(810,plain,
% 23.89/15.61 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB77))),
% 23.89/15.61 inference(quant_inst,[status(thm)],[])).
% 23.89/15.61 tff(811,plain,
% 23.89/15.61 ($false),
% 23.89/15.61 inference(unit_resolution,[status(thm)],[810, 797, 809])).
% 23.89/15.61 tff(812,plain,(~v26(constB77)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.61 tff(813,assumption,(v26(constB75)), introduced(assumption)).
% 23.89/15.61 tff(814,plain,
% 23.89/15.61 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB75))),
% 23.89/15.61 inference(quant_inst,[status(thm)],[])).
% 23.89/15.61 tff(815,plain,
% 23.89/15.61 ($false),
% 23.89/15.61 inference(unit_resolution,[status(thm)],[814, 797, 813])).
% 23.89/15.61 tff(816,plain,(~v26(constB75)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.61 tff(817,assumption,(v26(constB73)), introduced(assumption)).
% 23.89/15.61 tff(818,plain,
% 23.89/15.61 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB73))),
% 23.89/15.61 inference(quant_inst,[status(thm)],[])).
% 23.89/15.61 tff(819,plain,
% 23.89/15.61 ($false),
% 23.89/15.61 inference(unit_resolution,[status(thm)],[818, 797, 817])).
% 23.89/15.61 tff(820,plain,(~v26(constB73)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.61 tff(821,assumption,(v26(constB19)), introduced(assumption)).
% 23.89/15.61 tff(822,plain,
% 23.89/15.61 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB19))),
% 23.89/15.61 inference(quant_inst,[status(thm)],[])).
% 23.89/15.61 tff(823,plain,
% 23.89/15.61 ($false),
% 23.89/15.61 inference(unit_resolution,[status(thm)],[822, 797, 821])).
% 23.89/15.61 tff(824,plain,(~v26(constB19)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.61 tff(825,assumption,(v26(constB11)), introduced(assumption)).
% 23.89/15.61 tff(826,plain,
% 23.89/15.61 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB11))),
% 23.89/15.61 inference(quant_inst,[status(thm)],[])).
% 23.89/15.61 tff(827,plain,
% 23.89/15.61 ($false),
% 23.89/15.61 inference(unit_resolution,[status(thm)],[826, 797, 825])).
% 23.89/15.61 tff(828,plain,(~v26(constB11)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.61 tff(829,assumption,(v26(constB9)), introduced(assumption)).
% 23.89/15.61 tff(830,plain,
% 23.89/15.61 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB9))),
% 23.89/15.61 inference(quant_inst,[status(thm)],[])).
% 23.89/15.61 tff(831,plain,
% 23.89/15.61 ($false),
% 23.89/15.61 inference(unit_resolution,[status(thm)],[830, 797, 829])).
% 23.89/15.61 tff(832,plain,(~v26(constB9)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.61 tff(833,assumption,(v26(constB5)), introduced(assumption)).
% 23.89/15.61 tff(834,plain,
% 23.89/15.61 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB5))),
% 23.89/15.61 inference(quant_inst,[status(thm)],[])).
% 23.89/15.61 tff(835,plain,
% 23.89/15.61 ($false),
% 23.89/15.61 inference(unit_resolution,[status(thm)],[834, 797, 833])).
% 23.89/15.61 tff(836,plain,(~v26(constB5)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.61 tff(837,assumption,(v26(constB3)), introduced(assumption)).
% 23.89/15.61 tff(838,plain,
% 23.89/15.61 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB3))),
% 23.89/15.61 inference(quant_inst,[status(thm)],[])).
% 23.89/15.61 tff(839,plain,
% 23.89/15.61 ($false),
% 23.89/15.61 inference(unit_resolution,[status(thm)],[838, 797, 837])).
% 23.89/15.61 tff(840,plain,(~v26(constB3)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.61 tff(841,assumption,(v26(constB1)), introduced(assumption)).
% 23.89/15.61 tff(842,plain,
% 23.89/15.61 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB1))),
% 23.89/15.61 inference(quant_inst,[status(thm)],[])).
% 23.89/15.61 tff(843,plain,
% 23.89/15.61 ($false),
% 23.89/15.61 inference(unit_resolution,[status(thm)],[842, 797, 841])).
% 23.89/15.61 tff(844,plain,(~v26(constB1)), inference(lemma,lemma(discharge,[]))).
% 23.89/15.61 tff(845,plain,
% 23.89/15.61 ((~v1(constB1)) <=> (~v1(constB1))),
% 23.89/15.61 inference(rewrite,[status(thm)],[])).
% 23.89/15.61 tff(846,axiom,(~v1(constB1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_1_1_1')).
% 23.89/15.61 tff(847,plain,
% 23.89/15.61 (~v1(constB1)),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[846, 845])).
% 23.89/15.61 tff(848,plain,
% 23.89/15.61 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 23.89/15.61 inference(rewrite,[status(thm)],[])).
% 23.89/15.61 tff(849,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_200')).
% 23.89/15.61 tff(850,plain,
% 23.89/15.61 (nextState(constB0, constB1)),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[849, 848])).
% 23.89/15.61 tff(851,plain,
% 23.89/15.61 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)))),
% 23.89/15.61 inference(bind,[status(th)],[])).
% 23.89/15.61 tff(852,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 23.89/15.61 inference(quant_intro,[status(thm)],[851])).
% 23.89/15.61 tff(853,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 23.89/15.61 inference(rewrite,[status(thm)],[])).
% 23.89/15.61 tff(854,plain,
% 23.89/15.61 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))), ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))))),
% 23.89/15.61 inference(bind,[status(th)],[])).
% 23.89/15.61 tff(855,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 23.89/15.61 inference(quant_intro,[status(thm)],[854])).
% 23.89/15.61 tff(856,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_2')).
% 23.89/15.61 tff(857,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[856, 855])).
% 23.89/15.61 tff(858,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[857, 853])).
% 23.89/15.61 tff(859,plain,(
% 23.89/15.61 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 23.89/15.61 inference(skolemize,[status(sab)],[858])).
% 23.89/15.61 tff(860,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[859, 852])).
% 23.89/15.61 tff(861,plain,
% 23.89/15.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 23.89/15.61 inference(rewrite,[status(thm)],[])).
% 23.89/15.61 tff(862,plain,
% 23.89/15.61 (((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1)) <=> (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 23.89/15.61 inference(rewrite,[status(thm)],[])).
% 23.89/15.61 tff(863,plain,
% 23.89/15.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1))))),
% 23.89/15.61 inference(monotonicity,[status(thm)],[862])).
% 23.89/15.61 tff(864,plain,
% 23.89/15.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 23.89/15.61 inference(transitivity,[status(thm)],[863, 861])).
% 23.89/15.61 tff(865,plain,
% 23.89/15.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))),
% 23.89/15.61 inference(quant_inst,[status(thm)],[])).
% 23.89/15.61 tff(866,plain,
% 23.89/15.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1))),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[865, 864])).
% 23.89/15.61 tff(867,plain,
% 23.89/15.61 (~v101(constB1)),
% 23.89/15.61 inference(unit_resolution,[status(thm)],[866, 860, 850, 847])).
% 23.89/15.61 tff(868,plain,
% 23.89/15.61 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))))),
% 23.89/15.61 inference(bind,[status(th)],[])).
% 23.89/15.61 tff(869,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 23.89/15.61 inference(quant_intro,[status(thm)],[868])).
% 23.89/15.61 tff(870,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 23.89/15.61 inference(rewrite,[status(thm)],[])).
% 23.89/15.61 tff(871,plain,
% 23.89/15.61 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v100(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))))),
% 23.89/15.61 inference(bind,[status(th)],[])).
% 23.89/15.61 tff(872,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 23.89/15.61 inference(quant_intro,[status(thm)],[871])).
% 23.89/15.61 tff(873,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_3')).
% 23.89/15.61 tff(874,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[873, 872])).
% 23.89/15.61 tff(875,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[874, 870])).
% 23.89/15.61 tff(876,plain,(
% 23.89/15.61 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 23.89/15.61 inference(skolemize,[status(sab)],[875])).
% 23.89/15.61 tff(877,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[876, 869])).
% 23.89/15.61 tff(878,plain,
% 23.89/15.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))),
% 23.89/15.61 inference(rewrite,[status(thm)],[])).
% 23.89/15.61 tff(879,plain,
% 23.89/15.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))),
% 23.89/15.61 inference(quant_inst,[status(thm)],[])).
% 23.89/15.61 tff(880,plain,
% 23.89/15.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1))),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[879, 878])).
% 23.89/15.61 tff(881,plain,
% 23.89/15.61 (v101(constB1) | (~v100(constB1))),
% 23.89/15.61 inference(unit_resolution,[status(thm)],[880, 877, 850])).
% 23.89/15.61 tff(882,plain,
% 23.89/15.61 (~v100(constB1)),
% 23.89/15.61 inference(unit_resolution,[status(thm)],[881, 867])).
% 23.89/15.61 tff(883,plain,
% 23.89/15.61 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))))),
% 23.89/15.61 inference(bind,[status(th)],[])).
% 23.89/15.61 tff(884,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 23.89/15.61 inference(quant_intro,[status(thm)],[883])).
% 23.89/15.61 tff(885,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 23.89/15.61 inference(rewrite,[status(thm)],[])).
% 23.89/15.61 tff(886,plain,
% 23.89/15.61 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex2))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex2))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex2)))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex2))))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex2))) | v90(VarCurr, bitIndex2)) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex2))) | v90(VarCurr, bitIndex2)))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex2))) | v90(VarCurr, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex2))) | v90(VarCurr, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))))),
% 23.89/15.61 inference(bind,[status(th)],[])).
% 23.89/15.61 tff(887,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex2))) | v90(VarCurr, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 23.89/15.61 inference(quant_intro,[status(thm)],[886])).
% 23.89/15.61 tff(888,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex2))) | v90(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_6')).
% 23.89/15.61 tff(889,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[888, 887])).
% 23.89/15.61 tff(890,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[889, 885])).
% 23.89/15.61 tff(891,plain,(
% 23.89/15.61 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 23.89/15.61 inference(skolemize,[status(sab)],[890])).
% 23.89/15.61 tff(892,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[891, 884])).
% 23.89/15.61 tff(893,plain,
% 23.89/15.61 ((~v90(constB0, bitIndex2)) <=> (~v90(constB0, bitIndex2))),
% 23.89/15.61 inference(rewrite,[status(thm)],[])).
% 23.89/15.61 tff(894,axiom,(~v90(constB0, bitIndex2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_4_1_1')).
% 23.89/15.61 tff(895,plain,
% 23.89/15.61 (~v90(constB0, bitIndex2)),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[894, 893])).
% 23.89/15.61 tff(896,plain,
% 23.89/15.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 23.89/15.61 inference(rewrite,[status(thm)],[])).
% 23.89/15.61 tff(897,plain,
% 23.89/15.61 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2))) <=> (v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 23.89/15.61 inference(rewrite,[status(thm)],[])).
% 23.89/15.61 tff(898,plain,
% 23.89/15.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2))))),
% 23.89/15.61 inference(monotonicity,[status(thm)],[897])).
% 23.89/15.61 tff(899,plain,
% 23.89/15.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 23.89/15.61 inference(transitivity,[status(thm)],[898, 896])).
% 23.89/15.61 tff(900,plain,
% 23.89/15.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 23.89/15.61 inference(quant_inst,[status(thm)],[])).
% 23.89/15.61 tff(901,plain,
% 23.89/15.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2))),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[900, 899])).
% 23.89/15.61 tff(902,plain,
% 23.89/15.61 (v100(constB1) | (~v90(constB1, bitIndex2))),
% 23.89/15.61 inference(unit_resolution,[status(thm)],[901, 895, 892, 850])).
% 23.89/15.61 tff(903,plain,
% 23.89/15.61 (~v90(constB1, bitIndex2)),
% 23.89/15.61 inference(unit_resolution,[status(thm)],[902, 882])).
% 23.89/15.61 tff(904,plain,
% 23.89/15.61 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))))),
% 23.89/15.61 inference(bind,[status(th)],[])).
% 23.89/15.61 tff(905,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 23.89/15.61 inference(quant_intro,[status(thm)],[904])).
% 23.89/15.61 tff(906,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 23.89/15.61 inference(rewrite,[status(thm)],[])).
% 23.89/15.61 tff(907,plain,
% 23.89/15.61 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex1))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex1))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex1)))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex1))))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex1))) | v90(VarCurr, bitIndex1)) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex1))) | v90(VarCurr, bitIndex1)))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex1))) | v90(VarCurr, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex1))) | v90(VarCurr, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))))),
% 23.89/15.61 inference(bind,[status(th)],[])).
% 23.89/15.61 tff(908,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex1))) | v90(VarCurr, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 23.89/15.61 inference(quant_intro,[status(thm)],[907])).
% 23.89/15.61 tff(909,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex1))) | v90(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_4')).
% 23.89/15.61 tff(910,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[909, 908])).
% 23.89/15.61 tff(911,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[910, 906])).
% 23.89/15.61 tff(912,plain,(
% 23.89/15.61 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 23.89/15.61 inference(skolemize,[status(sab)],[911])).
% 23.89/15.61 tff(913,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[912, 905])).
% 23.89/15.61 tff(914,plain,
% 23.89/15.61 ((~v90(constB0, bitIndex1)) <=> (~v90(constB0, bitIndex1))),
% 23.89/15.61 inference(rewrite,[status(thm)],[])).
% 23.89/15.61 tff(915,axiom,(~v90(constB0, bitIndex1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_3_1_1')).
% 23.89/15.61 tff(916,plain,
% 23.89/15.61 (~v90(constB0, bitIndex1)),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[915, 914])).
% 23.89/15.61 tff(917,plain,
% 23.89/15.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 23.89/15.61 inference(rewrite,[status(thm)],[])).
% 23.89/15.61 tff(918,plain,
% 23.89/15.61 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1))) <=> (v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 23.89/15.61 inference(rewrite,[status(thm)],[])).
% 23.89/15.61 tff(919,plain,
% 23.89/15.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1))))),
% 23.89/15.61 inference(monotonicity,[status(thm)],[918])).
% 23.89/15.61 tff(920,plain,
% 23.89/15.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 23.89/15.61 inference(transitivity,[status(thm)],[919, 917])).
% 23.89/15.61 tff(921,plain,
% 23.89/15.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 23.89/15.61 inference(quant_inst,[status(thm)],[])).
% 23.89/15.61 tff(922,plain,
% 23.89/15.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1))),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[921, 920])).
% 23.89/15.61 tff(923,plain,
% 23.89/15.61 (v100(constB1) | (~v90(constB1, bitIndex1))),
% 23.89/15.61 inference(unit_resolution,[status(thm)],[922, 916, 913, 850])).
% 23.89/15.61 tff(924,plain,
% 23.89/15.61 (~v90(constB1, bitIndex1)),
% 23.89/15.61 inference(unit_resolution,[status(thm)],[923, 882])).
% 23.89/15.61 tff(925,plain,
% 23.89/15.61 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))))),
% 23.89/15.61 inference(bind,[status(th)],[])).
% 23.89/15.61 tff(926,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 23.89/15.61 inference(quant_intro,[status(thm)],[925])).
% 23.89/15.61 tff(927,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 23.89/15.61 inference(rewrite,[status(thm)],[])).
% 23.89/15.61 tff(928,plain,
% 23.89/15.61 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex0))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex0))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex0)))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex0))))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex0))) | v90(VarCurr, bitIndex0)) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex0))) | v90(VarCurr, bitIndex0)))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex0))) | v90(VarCurr, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex0))) | v90(VarCurr, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))))),
% 23.89/15.61 inference(bind,[status(th)],[])).
% 23.89/15.61 tff(929,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex0))) | v90(VarCurr, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 23.89/15.61 inference(quant_intro,[status(thm)],[928])).
% 23.89/15.61 tff(930,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex0))) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_2')).
% 23.89/15.61 tff(931,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[930, 929])).
% 23.89/15.61 tff(932,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[931, 927])).
% 23.89/15.61 tff(933,plain,(
% 23.89/15.61 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 23.89/15.61 inference(skolemize,[status(sab)],[932])).
% 23.89/15.61 tff(934,plain,
% 23.89/15.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[933, 926])).
% 23.89/15.61 tff(935,plain,
% 23.89/15.61 ((~v90(constB0, bitIndex0)) <=> (~v90(constB0, bitIndex0))),
% 23.89/15.61 inference(rewrite,[status(thm)],[])).
% 23.89/15.61 tff(936,axiom,(~v90(constB0, bitIndex0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_2_1_1')).
% 23.89/15.61 tff(937,plain,
% 23.89/15.61 (~v90(constB0, bitIndex0)),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[936, 935])).
% 23.89/15.61 tff(938,plain,
% 23.89/15.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 23.89/15.61 inference(rewrite,[status(thm)],[])).
% 23.89/15.61 tff(939,plain,
% 23.89/15.61 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0))) <=> (v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 23.89/15.61 inference(rewrite,[status(thm)],[])).
% 23.89/15.61 tff(940,plain,
% 23.89/15.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0))))),
% 23.89/15.61 inference(monotonicity,[status(thm)],[939])).
% 23.89/15.61 tff(941,plain,
% 23.89/15.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 23.89/15.61 inference(transitivity,[status(thm)],[940, 938])).
% 23.89/15.61 tff(942,plain,
% 23.89/15.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 23.89/15.61 inference(quant_inst,[status(thm)],[])).
% 23.89/15.61 tff(943,plain,
% 23.89/15.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0))),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[942, 941])).
% 23.89/15.61 tff(944,plain,
% 23.89/15.61 (v100(constB1) | (~v90(constB1, bitIndex0))),
% 23.89/15.61 inference(unit_resolution,[status(thm)],[943, 937, 934, 850])).
% 23.89/15.61 tff(945,plain,
% 23.89/15.61 (~v90(constB1, bitIndex0)),
% 23.89/15.61 inference(unit_resolution,[status(thm)],[944, 882])).
% 23.89/15.61 tff(946,plain,
% 23.89/15.61 (^[VarCurr: state_type] : refl((v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)))),
% 23.89/15.61 inference(bind,[status(th)],[])).
% 23.89/15.61 tff(947,plain,
% 23.89/15.61 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 23.89/15.61 inference(quant_intro,[status(thm)],[946])).
% 23.89/15.61 tff(948,plain,
% 23.89/15.61 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 23.89/15.61 inference(rewrite,[status(thm)],[])).
% 23.89/15.61 tff(949,plain,
% 23.89/15.61 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))), ((((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) | v119(VarCurr)) <=> ((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | v119(VarCurr)))), rewrite(((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | v119(VarCurr)) <=> (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))), ((((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) | v119(VarCurr)) <=> (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))),
% 23.89/15.61 inference(bind,[status(th)],[])).
% 23.89/15.61 tff(950,plain,
% 23.89/15.61 (![VarCurr: state_type] : (((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) | v119(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 23.89/15.61 inference(quant_intro,[status(thm)],[949])).
% 23.89/15.61 tff(951,axiom,(![VarCurr: state_type] : (((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) | v119(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_1')).
% 23.89/15.61 tff(952,plain,
% 23.89/15.61 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 23.89/15.61 inference(modus_ponens,[status(thm)],[951, 950])).
% 23.89/15.61 tff(953,plain,
% 23.89/15.61 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[952, 948])).
% 23.89/15.62 tff(954,plain,(
% 23.89/15.62 ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 23.89/15.62 inference(skolemize,[status(sab)],[953])).
% 23.89/15.62 tff(955,plain,
% 23.89/15.62 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[954, 947])).
% 23.89/15.62 tff(956,plain,
% 23.89/15.62 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2) | v119(constB1))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2) | v119(constB1))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(957,plain,
% 23.89/15.62 ((v90(constB1, bitIndex0) | v119(constB1) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2)) <=> (v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2) | v119(constB1))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(958,plain,
% 23.89/15.62 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB1, bitIndex0) | v119(constB1) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2) | v119(constB1)))),
% 23.89/15.62 inference(monotonicity,[status(thm)],[957])).
% 23.89/15.62 tff(959,plain,
% 23.89/15.62 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB1, bitIndex0) | v119(constB1) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2) | v119(constB1))),
% 23.89/15.62 inference(transitivity,[status(thm)],[958, 956])).
% 23.89/15.62 tff(960,plain,
% 23.89/15.62 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB1, bitIndex0) | v119(constB1) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))),
% 23.89/15.62 inference(quant_inst,[status(thm)],[])).
% 23.89/15.62 tff(961,plain,
% 23.89/15.62 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2) | v119(constB1)),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[960, 959])).
% 23.89/15.62 tff(962,plain,
% 23.89/15.62 (v119(constB1)),
% 23.89/15.62 inference(unit_resolution,[status(thm)],[961, 955, 945, 924, 903])).
% 23.89/15.62 tff(963,plain,
% 23.89/15.62 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | v118(VarCurr)) <=> ((~v119(VarCurr)) | v118(VarCurr)))),
% 23.89/15.62 inference(bind,[status(th)],[])).
% 23.89/15.62 tff(964,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 23.89/15.62 inference(quant_intro,[status(thm)],[963])).
% 23.89/15.62 tff(965,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(966,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_2')).
% 23.89/15.62 tff(967,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[966, 965])).
% 23.89/15.62 tff(968,plain,(
% 23.89/15.62 ![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 23.89/15.62 inference(skolemize,[status(sab)],[967])).
% 23.89/15.62 tff(969,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[968, 964])).
% 23.89/15.62 tff(970,plain,
% 23.89/15.62 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB1)) | v118(constB1))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB1)) | v118(constB1))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(971,plain,
% 23.89/15.62 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB1)) | v118(constB1))),
% 23.89/15.62 inference(quant_inst,[status(thm)],[])).
% 23.89/15.62 tff(972,plain,
% 23.89/15.62 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB1)) | v118(constB1)),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[971, 970])).
% 23.89/15.62 tff(973,plain,
% 23.89/15.62 (v118(constB1)),
% 23.89/15.62 inference(unit_resolution,[status(thm)],[972, 969, 962])).
% 23.89/15.62 tff(974,plain,
% 23.89/15.62 (^[VarCurr: state_type] : refl(((~v118(VarCurr)) | v117(VarCurr)) <=> ((~v118(VarCurr)) | v117(VarCurr)))),
% 23.89/15.62 inference(bind,[status(th)],[])).
% 23.89/15.62 tff(975,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 23.89/15.62 inference(quant_intro,[status(thm)],[974])).
% 23.89/15.62 tff(976,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(977,axiom,(![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_2')).
% 23.89/15.62 tff(978,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[977, 976])).
% 23.89/15.62 tff(979,plain,(
% 23.89/15.62 ![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 23.89/15.62 inference(skolemize,[status(sab)],[978])).
% 23.89/15.62 tff(980,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[979, 975])).
% 23.89/15.62 tff(981,plain,
% 23.89/15.62 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB1) | (~v118(constB1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB1) | (~v118(constB1)))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(982,plain,
% 23.89/15.62 (((~v118(constB1)) | v117(constB1)) <=> (v117(constB1) | (~v118(constB1)))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(983,plain,
% 23.89/15.62 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB1)) | v117(constB1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB1) | (~v118(constB1))))),
% 23.89/15.62 inference(monotonicity,[status(thm)],[982])).
% 23.89/15.62 tff(984,plain,
% 23.89/15.62 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB1)) | v117(constB1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB1) | (~v118(constB1)))),
% 23.89/15.62 inference(transitivity,[status(thm)],[983, 981])).
% 23.89/15.62 tff(985,plain,
% 23.89/15.62 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB1)) | v117(constB1))),
% 23.89/15.62 inference(quant_inst,[status(thm)],[])).
% 23.89/15.62 tff(986,plain,
% 23.89/15.62 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB1) | (~v118(constB1))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[985, 984])).
% 23.89/15.62 tff(987,plain,
% 23.89/15.62 (v117(constB1)),
% 23.89/15.62 inference(unit_resolution,[status(thm)],[986, 980, 973])).
% 23.89/15.62 tff(988,plain,
% 23.89/15.62 (^[VarCurr: state_type] : refl(((~v117(VarCurr)) | v116(VarCurr)) <=> ((~v117(VarCurr)) | v116(VarCurr)))),
% 23.89/15.62 inference(bind,[status(th)],[])).
% 23.89/15.62 tff(989,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 23.89/15.62 inference(quant_intro,[status(thm)],[988])).
% 23.89/15.62 tff(990,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(991,axiom,(![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_2')).
% 23.89/15.62 tff(992,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[991, 990])).
% 23.89/15.62 tff(993,plain,(
% 23.89/15.62 ![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 23.89/15.62 inference(skolemize,[status(sab)],[992])).
% 23.89/15.62 tff(994,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[993, 989])).
% 23.89/15.62 tff(995,plain,
% 23.89/15.62 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB1) | (~v117(constB1)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB1) | (~v117(constB1)))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(996,plain,
% 23.89/15.62 (((~v117(constB1)) | v116(constB1)) <=> (v116(constB1) | (~v117(constB1)))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(997,plain,
% 23.89/15.62 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB1)) | v116(constB1))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB1) | (~v117(constB1))))),
% 23.89/15.62 inference(monotonicity,[status(thm)],[996])).
% 23.89/15.62 tff(998,plain,
% 23.89/15.62 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB1)) | v116(constB1))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB1) | (~v117(constB1)))),
% 23.89/15.62 inference(transitivity,[status(thm)],[997, 995])).
% 23.89/15.62 tff(999,plain,
% 23.89/15.62 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB1)) | v116(constB1))),
% 23.89/15.62 inference(quant_inst,[status(thm)],[])).
% 23.89/15.62 tff(1000,plain,
% 23.89/15.62 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB1) | (~v117(constB1))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[999, 998])).
% 23.89/15.62 tff(1001,plain,
% 23.89/15.62 (v116(constB1)),
% 23.89/15.62 inference(unit_resolution,[status(thm)],[1000, 994, 987])).
% 23.89/15.62 tff(1002,plain,
% 23.89/15.62 (^[VarCurr: state_type] : refl(((~v116(VarCurr)) | v115(VarCurr)) <=> ((~v116(VarCurr)) | v115(VarCurr)))),
% 23.89/15.62 inference(bind,[status(th)],[])).
% 23.89/15.62 tff(1003,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 23.89/15.62 inference(quant_intro,[status(thm)],[1002])).
% 23.89/15.62 tff(1004,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(1005,axiom,(![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_2')).
% 23.89/15.62 tff(1006,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1005, 1004])).
% 23.89/15.62 tff(1007,plain,(
% 23.89/15.62 ![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 23.89/15.62 inference(skolemize,[status(sab)],[1006])).
% 23.89/15.62 tff(1008,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1007, 1003])).
% 23.89/15.62 tff(1009,plain,
% 23.89/15.62 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB1) | (~v116(constB1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB1) | (~v116(constB1)))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(1010,plain,
% 23.89/15.62 (((~v116(constB1)) | v115(constB1)) <=> (v115(constB1) | (~v116(constB1)))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(1011,plain,
% 23.89/15.62 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB1)) | v115(constB1))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB1) | (~v116(constB1))))),
% 23.89/15.62 inference(monotonicity,[status(thm)],[1010])).
% 23.89/15.62 tff(1012,plain,
% 23.89/15.62 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB1)) | v115(constB1))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB1) | (~v116(constB1)))),
% 23.89/15.62 inference(transitivity,[status(thm)],[1011, 1009])).
% 23.89/15.62 tff(1013,plain,
% 23.89/15.62 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB1)) | v115(constB1))),
% 23.89/15.62 inference(quant_inst,[status(thm)],[])).
% 23.89/15.62 tff(1014,plain,
% 23.89/15.62 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB1) | (~v116(constB1))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1013, 1012])).
% 23.89/15.62 tff(1015,plain,
% 23.89/15.62 (v115(constB1)),
% 23.89/15.62 inference(unit_resolution,[status(thm)],[1014, 1008, 1001])).
% 23.89/15.62 tff(1016,plain,
% 23.89/15.62 (^[VarCurr: state_type] : refl(((~v115(VarCurr)) | v114(VarCurr)) <=> ((~v115(VarCurr)) | v114(VarCurr)))),
% 23.89/15.62 inference(bind,[status(th)],[])).
% 23.89/15.62 tff(1017,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 23.89/15.62 inference(quant_intro,[status(thm)],[1016])).
% 23.89/15.62 tff(1018,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(1019,axiom,(![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_2')).
% 23.89/15.62 tff(1020,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1019, 1018])).
% 23.89/15.62 tff(1021,plain,(
% 23.89/15.62 ![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 23.89/15.62 inference(skolemize,[status(sab)],[1020])).
% 23.89/15.62 tff(1022,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1021, 1017])).
% 23.89/15.62 tff(1023,plain,
% 23.89/15.62 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB1) | (~v115(constB1)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB1) | (~v115(constB1)))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(1024,plain,
% 23.89/15.62 (((~v115(constB1)) | v114(constB1)) <=> (v114(constB1) | (~v115(constB1)))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(1025,plain,
% 23.89/15.62 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB1)) | v114(constB1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB1) | (~v115(constB1))))),
% 23.89/15.62 inference(monotonicity,[status(thm)],[1024])).
% 23.89/15.62 tff(1026,plain,
% 23.89/15.62 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB1)) | v114(constB1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB1) | (~v115(constB1)))),
% 23.89/15.62 inference(transitivity,[status(thm)],[1025, 1023])).
% 23.89/15.62 tff(1027,plain,
% 23.89/15.62 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB1)) | v114(constB1))),
% 23.89/15.62 inference(quant_inst,[status(thm)],[])).
% 23.89/15.62 tff(1028,plain,
% 23.89/15.62 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB1) | (~v115(constB1))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1027, 1026])).
% 23.89/15.62 tff(1029,plain,
% 23.89/15.62 (v114(constB1)),
% 23.89/15.62 inference(unit_resolution,[status(thm)],[1028, 1022, 1015])).
% 23.89/15.62 tff(1030,plain,
% 23.89/15.62 (^[VarCurr: state_type] : refl(((~v114(VarCurr)) | v113(VarCurr)) <=> ((~v114(VarCurr)) | v113(VarCurr)))),
% 23.89/15.62 inference(bind,[status(th)],[])).
% 23.89/15.62 tff(1031,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 23.89/15.62 inference(quant_intro,[status(thm)],[1030])).
% 23.89/15.62 tff(1032,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(1033,axiom,(![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_2')).
% 23.89/15.62 tff(1034,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1033, 1032])).
% 23.89/15.62 tff(1035,plain,(
% 23.89/15.62 ![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 23.89/15.62 inference(skolemize,[status(sab)],[1034])).
% 23.89/15.62 tff(1036,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1035, 1031])).
% 23.89/15.62 tff(1037,plain,
% 23.89/15.62 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB1)) | v113(constB1))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB1)) | v113(constB1))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(1038,plain,
% 23.89/15.62 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB1)) | v113(constB1))),
% 23.89/15.62 inference(quant_inst,[status(thm)],[])).
% 23.89/15.62 tff(1039,plain,
% 23.89/15.62 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB1)) | v113(constB1)),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1038, 1037])).
% 23.89/15.62 tff(1040,plain,
% 23.89/15.62 (v113(constB1)),
% 23.89/15.62 inference(unit_resolution,[status(thm)],[1039, 1036, 1029])).
% 23.89/15.62 tff(1041,plain,
% 23.89/15.62 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 23.89/15.62 inference(bind,[status(th)],[])).
% 23.89/15.62 tff(1042,plain,
% 23.89/15.62 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 23.89/15.62 inference(quant_intro,[status(thm)],[1041])).
% 23.89/15.62 tff(1043,plain,
% 23.89/15.62 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(1044,plain,
% 23.89/15.62 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v113(VarCurr))) | v112(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 23.89/15.62 inference(bind,[status(th)],[])).
% 23.89/15.62 tff(1045,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((v26(VarCurr) | (~v113(VarCurr))) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 23.89/15.62 inference(quant_intro,[status(thm)],[1044])).
% 23.89/15.62 tff(1046,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v113(VarCurr))) | v112(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_1')).
% 23.89/15.62 tff(1047,plain,
% 23.89/15.62 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1046, 1045])).
% 23.89/15.62 tff(1048,plain,
% 23.89/15.62 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1047, 1043])).
% 23.89/15.62 tff(1049,plain,(
% 23.89/15.62 ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 23.89/15.62 inference(skolemize,[status(sab)],[1048])).
% 23.89/15.62 tff(1050,plain,
% 23.89/15.62 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1049, 1042])).
% 23.89/15.62 tff(1051,plain,
% 23.89/15.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB1) | (~v113(constB1)) | v112(constB1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB1) | (~v113(constB1)) | v112(constB1))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(1052,plain,
% 23.89/15.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB1) | (~v113(constB1)) | v112(constB1))),
% 23.89/15.62 inference(quant_inst,[status(thm)],[])).
% 23.89/15.62 tff(1053,plain,
% 23.89/15.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB1) | (~v113(constB1)) | v112(constB1)),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1052, 1051])).
% 23.89/15.62 tff(1054,plain,
% 23.89/15.62 (v26(constB1) | v112(constB1)),
% 23.89/15.62 inference(unit_resolution,[status(thm)],[1053, 1050, 1040])).
% 23.89/15.62 tff(1055,plain,
% 23.89/15.62 (v112(constB1)),
% 23.89/15.62 inference(unit_resolution,[status(thm)],[1054, 844])).
% 23.89/15.62 tff(1056,plain,
% 23.89/15.62 (^[VarCurr: state_type] : refl(((~v112(VarCurr)) | v108(VarCurr)) <=> ((~v112(VarCurr)) | v108(VarCurr)))),
% 23.89/15.62 inference(bind,[status(th)],[])).
% 23.89/15.62 tff(1057,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 23.89/15.62 inference(quant_intro,[status(thm)],[1056])).
% 23.89/15.62 tff(1058,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(1059,axiom,(![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_1')).
% 23.89/15.62 tff(1060,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1059, 1058])).
% 23.89/15.62 tff(1061,plain,(
% 23.89/15.62 ![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 23.89/15.62 inference(skolemize,[status(sab)],[1060])).
% 23.89/15.62 tff(1062,plain,
% 23.89/15.62 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1061, 1057])).
% 23.89/15.62 tff(1063,plain,
% 23.89/15.62 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB1) | (~v112(constB1)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v112(constB1)))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(1064,plain,
% 23.89/15.62 (((~v112(constB1)) | v108(constB1)) <=> (v108(constB1) | (~v112(constB1)))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(1065,plain,
% 23.89/15.62 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB1)) | v108(constB1))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB1) | (~v112(constB1))))),
% 23.89/15.62 inference(monotonicity,[status(thm)],[1064])).
% 23.89/15.62 tff(1066,plain,
% 23.89/15.62 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB1)) | v108(constB1))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v112(constB1)))),
% 23.89/15.62 inference(transitivity,[status(thm)],[1065, 1063])).
% 23.89/15.62 tff(1067,plain,
% 23.89/15.62 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB1)) | v108(constB1))),
% 23.89/15.62 inference(quant_inst,[status(thm)],[])).
% 23.89/15.62 tff(1068,plain,
% 23.89/15.62 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v112(constB1))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1067, 1066])).
% 23.89/15.62 tff(1069,plain,
% 23.89/15.62 (v108(constB1)),
% 23.89/15.62 inference(unit_resolution,[status(thm)],[1068, 1062, 1055])).
% 23.89/15.62 tff(1070,plain,
% 23.89/15.62 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(1071,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_1_1')).
% 23.89/15.62 tff(1072,plain,
% 23.89/15.62 (nextState(constB1, constB2)),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1071, 1070])).
% 23.89/15.62 tff(1073,plain,
% 23.89/15.62 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)))),
% 23.89/15.62 inference(bind,[status(th)],[])).
% 23.89/15.62 tff(1074,plain,
% 23.89/15.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 23.89/15.62 inference(quant_intro,[status(thm)],[1073])).
% 23.89/15.62 tff(1075,plain,
% 23.89/15.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(1076,plain,
% 23.89/15.62 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)))), ((((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))), ((((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))))),
% 23.89/15.62 inference(bind,[status(th)],[])).
% 23.89/15.62 tff(1077,plain,
% 23.89/15.62 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 23.89/15.62 inference(quant_intro,[status(thm)],[1076])).
% 23.89/15.62 tff(1078,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_6_1_1')).
% 23.89/15.62 tff(1079,plain,
% 23.89/15.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1078, 1077])).
% 23.89/15.62 tff(1080,plain,
% 23.89/15.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1079, 1075])).
% 23.89/15.62 tff(1081,plain,(
% 23.89/15.62 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 23.89/15.62 inference(skolemize,[status(sab)],[1080])).
% 23.89/15.62 tff(1082,plain,
% 23.89/15.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1081, 1074])).
% 23.89/15.62 tff(1083,plain,
% 23.89/15.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(1084,plain,
% 23.89/15.62 (((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2)) <=> ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(1085,plain,
% 23.89/15.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1))))),
% 23.89/15.62 inference(monotonicity,[status(thm)],[1084])).
% 23.89/15.62 tff(1086,plain,
% 23.89/15.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 23.89/15.62 inference(transitivity,[status(thm)],[1085, 1083])).
% 23.89/15.62 tff(1087,plain,
% 23.89/15.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))),
% 23.89/15.62 inference(quant_inst,[status(thm)],[])).
% 23.89/15.62 tff(1088,plain,
% 23.89/15.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1087, 1086])).
% 23.89/15.62 tff(1089,plain,
% 23.89/15.62 (v110(constB2) | (~v108(constB1))),
% 23.89/15.62 inference(unit_resolution,[status(thm)],[1088, 1082, 1072])).
% 23.89/15.62 tff(1090,plain,
% 23.89/15.62 (v110(constB2)),
% 23.89/15.62 inference(unit_resolution,[status(thm)],[1089, 1069])).
% 23.89/15.62 tff(1091,plain,
% 23.89/15.62 (^[VarNext: state_type, VarCurr: state_type] : refl((v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))))),
% 23.89/15.62 inference(bind,[status(th)],[])).
% 23.89/15.62 tff(1092,plain,
% 23.89/15.62 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 23.89/15.62 inference(quant_intro,[status(thm)],[1091])).
% 23.89/15.62 tff(1093,plain,
% 23.89/15.62 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(1094,plain,
% 23.89/15.62 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v104(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))))),
% 23.89/15.62 inference(bind,[status(th)],[])).
% 23.89/15.62 tff(1095,plain,
% 23.89/15.62 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 23.89/15.62 inference(quant_intro,[status(thm)],[1094])).
% 23.89/15.62 tff(1096,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_5_1_2')).
% 23.89/15.62 tff(1097,plain,
% 23.89/15.62 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1096, 1095])).
% 23.89/15.62 tff(1098,plain,
% 23.89/15.62 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1097, 1093])).
% 23.89/15.62 tff(1099,plain,(
% 23.89/15.62 ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 23.89/15.62 inference(skolemize,[status(sab)],[1098])).
% 23.89/15.62 tff(1100,plain,
% 23.89/15.62 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1099, 1092])).
% 23.89/15.62 tff(1101,plain,
% 23.89/15.62 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(1102,plain,
% 23.89/15.62 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))),
% 23.89/15.62 inference(quant_inst,[status(thm)],[])).
% 23.89/15.62 tff(1103,plain,
% 23.89/15.62 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1102, 1101])).
% 23.89/15.62 tff(1104,plain,
% 23.89/15.62 (~v104(constB2)),
% 23.89/15.62 inference(unit_resolution,[status(thm)],[1103, 1100, 1072, 847])).
% 23.89/15.62 tff(1105,plain,
% 23.89/15.62 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)))),
% 23.89/15.62 inference(bind,[status(th)],[])).
% 23.89/15.62 tff(1106,plain,
% 23.89/15.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 23.89/15.62 inference(quant_intro,[status(thm)],[1105])).
% 23.89/15.62 tff(1107,plain,
% 23.89/15.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(1108,plain,
% 23.89/15.62 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v102(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext))), ((((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))), ((((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))))),
% 23.89/15.62 inference(bind,[status(th)],[])).
% 23.89/15.62 tff(1109,plain,
% 23.89/15.62 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 23.89/15.62 inference(quant_intro,[status(thm)],[1108])).
% 23.89/15.62 tff(1110,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_12_1_2')).
% 23.89/15.62 tff(1111,plain,
% 23.89/15.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1110, 1109])).
% 23.89/15.62 tff(1112,plain,
% 23.89/15.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1111, 1107])).
% 23.89/15.62 tff(1113,plain,(
% 23.89/15.62 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 23.89/15.62 inference(skolemize,[status(sab)],[1112])).
% 23.89/15.62 tff(1114,plain,
% 23.89/15.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1113, 1106])).
% 23.89/15.62 tff(1115,plain,
% 23.89/15.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(1116,plain,
% 23.89/15.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))),
% 23.89/15.62 inference(quant_inst,[status(thm)],[])).
% 23.89/15.62 tff(1117,plain,
% 23.89/15.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v102(constB2) | v104(constB2)),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1116, 1115])).
% 23.89/15.62 tff(1118,plain,
% 23.89/15.62 (v102(constB2) | v104(constB2)),
% 23.89/15.62 inference(unit_resolution,[status(thm)],[1117, 1114, 1072])).
% 23.89/15.62 tff(1119,plain,
% 23.89/15.62 (v102(constB2)),
% 23.89/15.62 inference(unit_resolution,[status(thm)],[1118, 1104])).
% 23.89/15.62 tff(1120,plain,
% 23.89/15.62 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))))),
% 23.89/15.62 inference(bind,[status(th)],[])).
% 23.89/15.62 tff(1121,plain,
% 23.89/15.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 23.89/15.62 inference(quant_intro,[status(thm)],[1120])).
% 23.89/15.62 tff(1122,plain,
% 23.89/15.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(1123,plain,
% 23.89/15.62 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) <=> (((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))))), rewrite((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarNext)) | (~v1(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarNext)) | (~v1(VarNext))))), (((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) | v101(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v102(VarNext)) | (~v1(VarNext))) | v101(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v102(VarNext)) | (~v1(VarNext))) | v101(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))), (((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) | v101(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))))),
% 23.89/15.62 inference(bind,[status(th)],[])).
% 23.89/15.62 tff(1124,plain,
% 23.89/15.62 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) | v101(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 23.89/15.62 inference(quant_intro,[status(thm)],[1123])).
% 23.89/15.62 tff(1125,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) | v101(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_1')).
% 23.89/15.62 tff(1126,plain,
% 23.89/15.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1125, 1124])).
% 23.89/15.62 tff(1127,plain,
% 23.89/15.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1126, 1122])).
% 23.89/15.62 tff(1128,plain,(
% 23.89/15.62 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 23.89/15.62 inference(skolemize,[status(sab)],[1127])).
% 23.89/15.62 tff(1129,plain,
% 23.89/15.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1128, 1121])).
% 23.89/15.62 tff(1130,plain,
% 23.89/15.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))),
% 23.89/15.62 inference(rewrite,[status(thm)],[])).
% 23.89/15.62 tff(1131,plain,
% 23.89/15.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))),
% 23.89/15.62 inference(quant_inst,[status(thm)],[])).
% 23.89/15.62 tff(1132,plain,
% 23.89/15.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2))),
% 23.89/15.62 inference(modus_ponens,[status(thm)],[1131, 1130])).
% 23.89/15.62 tff(1133,plain,
% 23.89/15.62 (v101(constB2) | (~v102(constB2))),
% 23.89/15.62 inference(unit_resolution,[status(thm)],[1132, 1129, 1072, 702])).
% 23.89/15.62 tff(1134,plain,
% 23.89/15.62 (v101(constB2)),
% 23.89/15.62 inference(unit_resolution,[status(thm)],[1133, 1119])).
% 23.89/15.62 tff(1135,plain,
% 23.89/15.62 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)))),
% 23.89/15.62 inference(bind,[status(th)],[])).
% 23.89/15.62 tff(1136,plain,
% 23.89/15.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 23.91/15.62 inference(quant_intro,[status(thm)],[1135])).
% 23.91/15.62 tff(1137,plain,
% 23.91/15.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 23.91/15.62 inference(rewrite,[status(thm)],[])).
% 23.91/15.62 tff(1138,plain,
% 23.91/15.62 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) <=> (((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))))), rewrite((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext))))), (((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) | v100(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext))) | v100(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext))) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))), (((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))))),
% 23.91/15.62 inference(bind,[status(th)],[])).
% 23.91/15.62 tff(1139,plain,
% 23.91/15.62 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) | v100(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 23.91/15.62 inference(quant_intro,[status(thm)],[1138])).
% 23.91/15.62 tff(1140,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) | v100(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_1')).
% 23.91/15.62 tff(1141,plain,
% 23.91/15.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 23.91/15.62 inference(modus_ponens,[status(thm)],[1140, 1139])).
% 23.91/15.62 tff(1142,plain,
% 23.91/15.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 23.91/15.62 inference(modus_ponens,[status(thm)],[1141, 1137])).
% 23.91/15.62 tff(1143,plain,(
% 23.91/15.62 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 23.91/15.62 inference(skolemize,[status(sab)],[1142])).
% 23.91/15.62 tff(1144,plain,
% 23.91/15.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 23.91/15.62 inference(modus_ponens,[status(thm)],[1143, 1136])).
% 23.91/15.62 tff(1145,plain,
% 23.91/15.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 23.91/15.62 inference(rewrite,[status(thm)],[])).
% 23.91/15.62 tff(1146,plain,
% 23.91/15.62 (((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2)) <=> ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 23.91/15.62 inference(rewrite,[status(thm)],[])).
% 23.91/15.62 tff(1147,plain,
% 23.91/15.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2))))),
% 23.91/15.62 inference(monotonicity,[status(thm)],[1146])).
% 23.91/15.62 tff(1148,plain,
% 23.91/15.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 23.91/15.62 inference(transitivity,[status(thm)],[1147, 1145])).
% 23.91/15.62 tff(1149,plain,
% 23.91/15.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))),
% 23.91/15.62 inference(quant_inst,[status(thm)],[])).
% 23.91/15.62 tff(1150,plain,
% 23.91/15.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 23.91/15.62 inference(modus_ponens,[status(thm)],[1149, 1148])).
% 23.91/15.62 tff(1151,plain,
% 23.91/15.62 (v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 23.91/15.62 inference(unit_resolution,[status(thm)],[1150, 1144, 1072])).
% 23.91/15.62 tff(1152,plain,
% 23.91/15.62 (v100(constB2) | (~v110(constB2))),
% 23.91/15.62 inference(unit_resolution,[status(thm)],[1151, 1134])).
% 23.91/15.62 tff(1153,plain,
% 23.91/15.62 (v100(constB2)),
% 23.91/15.62 inference(unit_resolution,[status(thm)],[1152, 1090])).
% 23.91/15.62 tff(1154,plain,
% 23.91/15.62 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v119(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 23.91/15.62 inference(bind,[status(th)],[])).
% 23.91/15.62 tff(1155,plain,
% 23.91/15.62 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))),
% 23.91/15.62 inference(quant_intro,[status(thm)],[1154])).
% 23.91/15.62 tff(1156,plain,
% 23.91/15.62 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))),
% 23.91/15.62 inference(rewrite,[status(thm)],[])).
% 23.91/15.62 tff(1157,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_3')).
% 23.91/15.62 tff(1158,plain,
% 23.91/15.62 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))),
% 23.91/15.62 inference(modus_ponens,[status(thm)],[1157, 1156])).
% 23.91/15.62 tff(1159,plain,(
% 23.91/15.62 ![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))),
% 23.91/15.62 inference(skolemize,[status(sab)],[1158])).
% 23.91/15.62 tff(1160,plain,
% 23.91/15.62 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))),
% 23.91/15.62 inference(modus_ponens,[status(thm)],[1159, 1155])).
% 23.91/15.62 tff(1161,plain,
% 23.91/15.62 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB1)) | v130(constB1, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB1)) | v130(constB1, bitIndex2))),
% 23.91/15.62 inference(rewrite,[status(thm)],[])).
% 23.91/15.62 tff(1162,plain,
% 23.91/15.62 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB1)) | v130(constB1, bitIndex2))),
% 23.91/15.62 inference(quant_inst,[status(thm)],[])).
% 23.91/15.62 tff(1163,plain,
% 23.91/15.62 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB1)) | v130(constB1, bitIndex2)),
% 23.91/15.62 inference(modus_ponens,[status(thm)],[1162, 1161])).
% 23.91/15.62 tff(1164,plain,
% 23.91/15.62 (v130(constB1, bitIndex2)),
% 23.91/15.62 inference(unit_resolution,[status(thm)],[1163, 1160, 962])).
% 23.91/15.63 tff(1165,plain,
% 23.91/15.63 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)))),
% 23.91/15.63 inference(bind,[status(th)],[])).
% 23.91/15.63 tff(1166,plain,
% 23.91/15.63 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 23.91/15.63 inference(quant_intro,[status(thm)],[1165])).
% 23.91/15.63 tff(1167,plain,
% 23.91/15.63 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 23.91/15.63 inference(rewrite,[status(thm)],[])).
% 23.91/15.63 tff(1168,plain,
% 23.91/15.63 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v130(VarCurr, bitIndex2))) | v127(VarCurr, bitIndex2)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)))),
% 23.91/15.63 inference(bind,[status(th)],[])).
% 23.91/15.63 tff(1169,plain,
% 23.91/15.63 (![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, bitIndex2))) | v127(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 23.91/15.63 inference(quant_intro,[status(thm)],[1168])).
% 23.91/15.63 tff(1170,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, bitIndex2))) | v127(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_5')).
% 23.91/15.63 tff(1171,plain,
% 23.91/15.63 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1170, 1169])).
% 23.91/15.63 tff(1172,plain,
% 23.91/15.63 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1171, 1167])).
% 23.91/15.63 tff(1173,plain,(
% 23.91/15.63 ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 23.91/15.63 inference(skolemize,[status(sab)],[1172])).
% 23.91/15.63 tff(1174,plain,
% 23.91/15.63 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1173, 1166])).
% 23.91/15.63 tff(1175,plain,
% 23.91/15.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB1) | (~v130(constB1, bitIndex2)) | v127(constB1, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB1) | (~v130(constB1, bitIndex2)) | v127(constB1, bitIndex2))),
% 23.91/15.63 inference(rewrite,[status(thm)],[])).
% 23.91/15.63 tff(1176,plain,
% 23.91/15.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB1) | (~v130(constB1, bitIndex2)) | v127(constB1, bitIndex2))),
% 23.91/15.63 inference(quant_inst,[status(thm)],[])).
% 23.91/15.63 tff(1177,plain,
% 23.91/15.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB1) | (~v130(constB1, bitIndex2)) | v127(constB1, bitIndex2)),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1176, 1175])).
% 23.91/15.63 tff(1178,plain,
% 23.91/15.63 (v26(constB1) | v127(constB1, bitIndex2)),
% 23.91/15.63 inference(unit_resolution,[status(thm)],[1177, 1174, 1164])).
% 23.91/15.63 tff(1179,plain,
% 23.91/15.63 (v127(constB1, bitIndex2)),
% 23.91/15.63 inference(unit_resolution,[status(thm)],[1178, 844])).
% 23.91/15.63 tff(1180,plain,
% 23.91/15.63 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)))),
% 23.91/15.63 inference(bind,[status(th)],[])).
% 23.91/15.63 tff(1181,plain,
% 23.91/15.63 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 23.91/15.63 inference(quant_intro,[status(thm)],[1180])).
% 23.91/15.63 tff(1182,plain,
% 23.91/15.63 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 23.91/15.63 inference(rewrite,[status(thm)],[])).
% 23.91/15.63 tff(1183,plain,
% 23.91/15.63 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2))) | v129(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)))),
% 23.91/15.63 inference(bind,[status(th)],[])).
% 23.91/15.63 tff(1184,plain,
% 23.91/15.63 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2))) | v129(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 23.91/15.63 inference(quant_intro,[status(thm)],[1183])).
% 23.91/15.63 tff(1185,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2))) | v129(VarNext, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_5')).
% 23.91/15.63 tff(1186,plain,
% 23.91/15.63 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1185, 1184])).
% 23.91/15.63 tff(1187,plain,
% 23.91/15.63 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1186, 1182])).
% 23.91/15.63 tff(1188,plain,(
% 23.91/15.63 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 23.91/15.63 inference(skolemize,[status(sab)],[1187])).
% 23.91/15.63 tff(1189,plain,
% 23.91/15.63 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1188, 1181])).
% 23.91/15.63 tff(1190,plain,
% 23.91/15.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB1, constB2)) | (~v127(constB1, bitIndex2)) | v129(constB2, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB1, constB2)) | (~v127(constB1, bitIndex2)) | v129(constB2, bitIndex2))),
% 23.91/15.63 inference(rewrite,[status(thm)],[])).
% 23.91/15.63 tff(1191,plain,
% 23.91/15.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB1, constB2)) | (~v127(constB1, bitIndex2)) | v129(constB2, bitIndex2))),
% 23.91/15.63 inference(quant_inst,[status(thm)],[])).
% 23.91/15.63 tff(1192,plain,
% 23.91/15.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB1, constB2)) | (~v127(constB1, bitIndex2)) | v129(constB2, bitIndex2)),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1191, 1190])).
% 23.91/15.63 tff(1193,plain,
% 23.91/15.63 ((~v127(constB1, bitIndex2)) | v129(constB2, bitIndex2)),
% 23.91/15.63 inference(unit_resolution,[status(thm)],[1192, 1189, 1072])).
% 23.91/15.63 tff(1194,plain,
% 23.91/15.63 (v129(constB2, bitIndex2)),
% 23.91/15.63 inference(unit_resolution,[status(thm)],[1193, 1179])).
% 23.91/15.63 tff(1195,plain,
% 23.91/15.63 (^[VarNext: state_type] : refl((v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))))),
% 23.91/15.63 inference(bind,[status(th)],[])).
% 23.91/15.63 tff(1196,plain,
% 23.91/15.63 (![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 23.91/15.63 inference(quant_intro,[status(thm)],[1195])).
% 23.91/15.63 tff(1197,plain,
% 23.91/15.63 (![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 23.91/15.63 inference(rewrite,[status(thm)],[])).
% 23.91/15.63 tff(1198,plain,
% 23.91/15.63 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v129(VarNext, bitIndex2))) | v90(VarNext, bitIndex2)) <=> (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))))),
% 23.91/15.63 inference(bind,[status(th)],[])).
% 23.91/15.63 tff(1199,plain,
% 23.91/15.63 (![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, bitIndex2))) | v90(VarNext, bitIndex2)) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 23.91/15.63 inference(quant_intro,[status(thm)],[1198])).
% 23.91/15.63 tff(1200,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, bitIndex2))) | v90(VarNext, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_5')).
% 23.91/15.63 tff(1201,plain,
% 23.91/15.63 (![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1200, 1199])).
% 23.91/15.63 tff(1202,plain,
% 23.91/15.63 (![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1201, 1197])).
% 23.91/15.63 tff(1203,plain,(
% 23.91/15.63 ![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 23.91/15.63 inference(skolemize,[status(sab)],[1202])).
% 23.91/15.63 tff(1204,plain,
% 23.91/15.63 (![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1203, 1196])).
% 23.91/15.63 tff(1205,plain,
% 23.91/15.63 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB2, bitIndex2) | (~v129(constB2, bitIndex2)) | (~v100(constB2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB2, bitIndex2) | (~v129(constB2, bitIndex2)) | (~v100(constB2)))),
% 23.91/15.63 inference(rewrite,[status(thm)],[])).
% 23.91/15.63 tff(1206,plain,
% 23.91/15.63 ((v90(constB2, bitIndex2) | (~v100(constB2)) | (~v129(constB2, bitIndex2))) <=> (v90(constB2, bitIndex2) | (~v129(constB2, bitIndex2)) | (~v100(constB2)))),
% 23.91/15.63 inference(rewrite,[status(thm)],[])).
% 23.91/15.63 tff(1207,plain,
% 23.91/15.63 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB2, bitIndex2) | (~v100(constB2)) | (~v129(constB2, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB2, bitIndex2) | (~v129(constB2, bitIndex2)) | (~v100(constB2))))),
% 23.91/15.63 inference(monotonicity,[status(thm)],[1206])).
% 23.91/15.63 tff(1208,plain,
% 23.91/15.63 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB2, bitIndex2) | (~v100(constB2)) | (~v129(constB2, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB2, bitIndex2) | (~v129(constB2, bitIndex2)) | (~v100(constB2)))),
% 23.91/15.63 inference(transitivity,[status(thm)],[1207, 1205])).
% 23.91/15.63 tff(1209,plain,
% 23.91/15.63 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB2, bitIndex2) | (~v100(constB2)) | (~v129(constB2, bitIndex2)))),
% 23.91/15.63 inference(quant_inst,[status(thm)],[])).
% 23.91/15.63 tff(1210,plain,
% 23.91/15.63 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB2, bitIndex2) | (~v129(constB2, bitIndex2)) | (~v100(constB2))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1209, 1208])).
% 23.91/15.63 tff(1211,plain,
% 23.91/15.63 (v90(constB2, bitIndex2) | (~v100(constB2))),
% 23.91/15.63 inference(unit_resolution,[status(thm)],[1210, 1204, 1194])).
% 23.91/15.63 tff(1212,plain,
% 23.91/15.63 (v90(constB2, bitIndex2)),
% 23.91/15.63 inference(unit_resolution,[status(thm)],[1211, 1153])).
% 23.91/15.63 tff(1213,plain,
% 23.91/15.63 ((~v1(constB3)) <=> (~v1(constB3))),
% 23.91/15.63 inference(rewrite,[status(thm)],[])).
% 23.91/15.63 tff(1214,axiom,(~v1(constB3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_3_1_1')).
% 23.91/15.63 tff(1215,plain,
% 23.91/15.63 (~v1(constB3)),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1214, 1213])).
% 23.91/15.63 tff(1216,plain,
% 23.91/15.63 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 23.91/15.63 inference(rewrite,[status(thm)],[])).
% 23.91/15.63 tff(1217,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_2_1')).
% 23.91/15.63 tff(1218,plain,
% 23.91/15.63 (nextState(constB2, constB3)),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1217, 1216])).
% 23.91/15.63 tff(1219,plain,
% 23.91/15.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 23.91/15.63 inference(rewrite,[status(thm)],[])).
% 23.91/15.63 tff(1220,plain,
% 23.91/15.63 (((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3)) <=> (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 23.91/15.63 inference(rewrite,[status(thm)],[])).
% 23.91/15.63 tff(1221,plain,
% 23.91/15.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3))))),
% 23.91/15.63 inference(monotonicity,[status(thm)],[1220])).
% 23.91/15.63 tff(1222,plain,
% 23.91/15.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 23.91/15.63 inference(transitivity,[status(thm)],[1221, 1219])).
% 23.91/15.63 tff(1223,plain,
% 23.91/15.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))),
% 23.91/15.63 inference(quant_inst,[status(thm)],[])).
% 23.91/15.63 tff(1224,plain,
% 23.91/15.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1223, 1222])).
% 23.91/15.63 tff(1225,plain,
% 23.91/15.63 (~v101(constB3)),
% 23.91/15.63 inference(unit_resolution,[status(thm)],[1224, 860, 1218, 1215])).
% 23.91/15.63 tff(1226,plain,
% 23.91/15.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))),
% 23.91/15.63 inference(rewrite,[status(thm)],[])).
% 23.91/15.63 tff(1227,plain,
% 23.91/15.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))),
% 23.91/15.63 inference(quant_inst,[status(thm)],[])).
% 23.91/15.63 tff(1228,plain,
% 23.91/15.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1227, 1226])).
% 23.91/15.63 tff(1229,plain,
% 23.91/15.63 (v101(constB3) | (~v100(constB3))),
% 23.91/15.63 inference(unit_resolution,[status(thm)],[1228, 877, 1218])).
% 23.91/15.63 tff(1230,plain,
% 23.91/15.63 (~v100(constB3)),
% 23.91/15.63 inference(unit_resolution,[status(thm)],[1229, 1225])).
% 23.91/15.63 tff(1231,plain,
% 23.91/15.63 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)))),
% 23.91/15.63 inference(bind,[status(th)],[])).
% 23.91/15.63 tff(1232,plain,
% 23.91/15.63 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 23.91/15.63 inference(quant_intro,[status(thm)],[1231])).
% 23.91/15.63 tff(1233,plain,
% 23.91/15.63 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 23.91/15.63 inference(rewrite,[status(thm)],[])).
% 23.91/15.63 tff(1234,plain,
% 23.91/15.63 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex2))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex2))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex2))) | v90(VarNext, bitIndex2)) <=> (((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext)) | v90(VarNext, bitIndex2)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext)) | v90(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex2))) | v90(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))))),
% 23.91/15.63 inference(bind,[status(th)],[])).
% 23.91/15.63 tff(1235,plain,
% 23.91/15.63 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex2))) | v90(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 23.91/15.63 inference(quant_intro,[status(thm)],[1234])).
% 23.91/15.63 tff(1236,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex2))) | v90(VarNext, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_5')).
% 23.91/15.63 tff(1237,plain,
% 23.91/15.63 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1236, 1235])).
% 23.91/15.63 tff(1238,plain,
% 23.91/15.63 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1237, 1233])).
% 23.91/15.63 tff(1239,plain,(
% 23.91/15.63 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 23.91/15.63 inference(skolemize,[status(sab)],[1238])).
% 23.91/15.63 tff(1240,plain,
% 23.91/15.63 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1239, 1232])).
% 23.91/15.63 tff(1241,plain,
% 23.91/15.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex2))),
% 23.91/15.63 inference(rewrite,[status(thm)],[])).
% 23.91/15.63 tff(1242,plain,
% 23.91/15.63 (((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex2)) | v100(constB3) | v90(constB3, bitIndex2)) <=> ((~v90(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex2))),
% 23.91/15.63 inference(rewrite,[status(thm)],[])).
% 23.91/15.63 tff(1243,plain,
% 23.91/15.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex2)) | v100(constB3) | v90(constB3, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex2)))),
% 23.91/15.63 inference(monotonicity,[status(thm)],[1242])).
% 23.91/15.63 tff(1244,plain,
% 23.91/15.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex2)) | v100(constB3) | v90(constB3, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex2))),
% 23.91/15.63 inference(transitivity,[status(thm)],[1243, 1241])).
% 23.91/15.63 tff(1245,plain,
% 23.91/15.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex2)) | v100(constB3) | v90(constB3, bitIndex2))),
% 23.91/15.63 inference(quant_inst,[status(thm)],[])).
% 23.91/15.63 tff(1246,plain,
% 23.91/15.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex2)),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1245, 1244])).
% 23.91/15.63 tff(1247,plain,
% 23.91/15.63 ((~v90(constB2, bitIndex2)) | v100(constB3) | v90(constB3, bitIndex2)),
% 23.91/15.63 inference(unit_resolution,[status(thm)],[1246, 1240, 1218])).
% 23.91/15.63 tff(1248,plain,
% 23.91/15.63 ((~v90(constB2, bitIndex2)) | v90(constB3, bitIndex2)),
% 23.91/15.63 inference(unit_resolution,[status(thm)],[1247, 1230])).
% 23.91/15.63 tff(1249,plain,
% 23.91/15.63 (v90(constB3, bitIndex2)),
% 23.91/15.63 inference(unit_resolution,[status(thm)],[1248, 1212])).
% 23.91/15.63 tff(1250,plain,
% 23.91/15.63 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 23.91/15.63 inference(bind,[status(th)],[])).
% 23.91/15.63 tff(1251,plain,
% 23.91/15.63 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 23.91/15.63 inference(quant_intro,[status(thm)],[1250])).
% 23.91/15.63 tff(1252,plain,
% 23.91/15.63 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 23.91/15.63 inference(rewrite,[status(thm)],[])).
% 23.91/15.63 tff(1253,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_2')).
% 23.91/15.63 tff(1254,plain,
% 23.91/15.63 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1253, 1252])).
% 23.91/15.63 tff(1255,plain,(
% 23.91/15.63 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 23.91/15.63 inference(skolemize,[status(sab)],[1254])).
% 23.91/15.63 tff(1256,plain,
% 23.91/15.63 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1255, 1251])).
% 23.91/15.63 tff(1257,plain,
% 23.91/15.63 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB1)) | (~v130(constB1, bitIndex1)))),
% 23.91/15.63 inference(rewrite,[status(thm)],[])).
% 23.91/15.63 tff(1258,plain,
% 23.91/15.63 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex1)))),
% 23.91/15.63 inference(quant_inst,[status(thm)],[])).
% 23.91/15.63 tff(1259,plain,
% 23.91/15.63 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB1)) | (~v130(constB1, bitIndex1))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1258, 1257])).
% 23.91/15.63 tff(1260,plain,
% 23.91/15.63 (~v130(constB1, bitIndex1)),
% 23.91/15.63 inference(unit_resolution,[status(thm)],[1259, 1256, 962])).
% 23.91/15.63 tff(1261,plain,
% 23.91/15.63 (^[VarCurr: state_type] : refl((v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))))),
% 23.91/15.63 inference(bind,[status(th)],[])).
% 23.91/15.63 tff(1262,plain,
% 23.91/15.63 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 23.91/15.63 inference(quant_intro,[status(thm)],[1261])).
% 23.91/15.63 tff(1263,plain,
% 23.91/15.63 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 23.91/15.63 inference(rewrite,[status(thm)],[])).
% 23.91/15.63 tff(1264,plain,
% 23.91/15.63 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v127(VarCurr, bitIndex1))) | v130(VarCurr, bitIndex1)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))))),
% 23.91/15.63 inference(bind,[status(th)],[])).
% 23.91/15.63 tff(1265,plain,
% 23.91/15.63 (![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, bitIndex1))) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 23.91/15.63 inference(quant_intro,[status(thm)],[1264])).
% 23.91/15.63 tff(1266,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, bitIndex1))) | v130(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_4')).
% 23.91/15.63 tff(1267,plain,
% 23.91/15.63 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1266, 1265])).
% 23.91/15.63 tff(1268,plain,
% 23.91/15.63 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1267, 1263])).
% 23.91/15.63 tff(1269,plain,(
% 23.91/15.63 ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 23.91/15.63 inference(skolemize,[status(sab)],[1268])).
% 23.91/15.63 tff(1270,plain,
% 23.91/15.63 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1269, 1262])).
% 23.91/15.63 tff(1271,plain,
% 23.91/15.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))),
% 23.91/15.63 inference(rewrite,[status(thm)],[])).
% 23.91/15.63 tff(1272,plain,
% 23.91/15.63 ((v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1))) <=> ((~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))),
% 23.91/15.63 inference(rewrite,[status(thm)],[])).
% 23.91/15.63 tff(1273,plain,
% 23.91/15.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1)))),
% 23.91/15.63 inference(monotonicity,[status(thm)],[1272])).
% 23.91/15.63 tff(1274,plain,
% 23.91/15.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))),
% 23.91/15.63 inference(transitivity,[status(thm)],[1273, 1271])).
% 23.91/15.63 tff(1275,plain,
% 23.91/15.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1)))),
% 23.91/15.63 inference(quant_inst,[status(thm)],[])).
% 23.91/15.63 tff(1276,plain,
% 23.91/15.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1)),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1275, 1274])).
% 23.91/15.63 tff(1277,plain,
% 23.91/15.63 ((~v127(constB1, bitIndex1)) | v26(constB1)),
% 23.91/15.63 inference(unit_resolution,[status(thm)],[1276, 1270, 1260])).
% 23.91/15.63 tff(1278,plain,
% 23.91/15.63 (~v127(constB1, bitIndex1)),
% 23.91/15.63 inference(unit_resolution,[status(thm)],[1277, 844])).
% 23.91/15.63 tff(1279,plain,
% 23.91/15.63 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))))),
% 23.91/15.63 inference(bind,[status(th)],[])).
% 23.91/15.63 tff(1280,plain,
% 23.91/15.63 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 23.91/15.63 inference(quant_intro,[status(thm)],[1279])).
% 23.91/15.63 tff(1281,plain,
% 23.91/15.63 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 23.91/15.63 inference(rewrite,[status(thm)],[])).
% 23.91/15.63 tff(1282,plain,
% 23.91/15.63 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex1))) | v127(VarCurr, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))))),
% 23.91/15.63 inference(bind,[status(th)],[])).
% 23.91/15.63 tff(1283,plain,
% 23.91/15.63 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex1))) | v127(VarCurr, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 23.91/15.63 inference(quant_intro,[status(thm)],[1282])).
% 23.91/15.63 tff(1284,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex1))) | v127(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_4')).
% 23.91/15.63 tff(1285,plain,
% 23.91/15.63 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1284, 1283])).
% 23.91/15.63 tff(1286,plain,
% 23.91/15.63 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1285, 1281])).
% 23.91/15.63 tff(1287,plain,(
% 23.91/15.63 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 23.91/15.63 inference(skolemize,[status(sab)],[1286])).
% 23.91/15.63 tff(1288,plain,
% 23.91/15.63 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1287, 1280])).
% 23.91/15.63 tff(1289,plain,
% 23.91/15.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1)))),
% 23.91/15.63 inference(rewrite,[status(thm)],[])).
% 23.91/15.63 tff(1290,plain,
% 23.91/15.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1)))),
% 23.91/15.63 inference(quant_inst,[status(thm)],[])).
% 23.91/15.63 tff(1291,plain,
% 23.91/15.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1290, 1289])).
% 23.91/15.63 tff(1292,plain,
% 23.91/15.63 (v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1))),
% 23.91/15.63 inference(unit_resolution,[status(thm)],[1291, 1288, 1072])).
% 23.91/15.63 tff(1293,plain,
% 23.91/15.63 (~v129(constB2, bitIndex1)),
% 23.91/15.63 inference(unit_resolution,[status(thm)],[1292, 1278])).
% 23.91/15.63 tff(1294,plain,
% 23.91/15.63 (^[VarNext: state_type] : refl(((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)))),
% 23.91/15.63 inference(bind,[status(th)],[])).
% 23.91/15.63 tff(1295,plain,
% 23.91/15.63 (![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 23.91/15.63 inference(quant_intro,[status(thm)],[1294])).
% 23.91/15.63 tff(1296,plain,
% 23.91/15.63 (![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 23.91/15.63 inference(rewrite,[status(thm)],[])).
% 23.91/15.63 tff(1297,plain,
% 23.91/15.63 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v90(VarNext, bitIndex1))) | v129(VarNext, bitIndex1)) <=> ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)))),
% 23.91/15.63 inference(bind,[status(th)],[])).
% 23.91/15.63 tff(1298,plain,
% 23.91/15.63 (![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, bitIndex1))) | v129(VarNext, bitIndex1)) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 23.91/15.63 inference(quant_intro,[status(thm)],[1297])).
% 23.91/15.63 tff(1299,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, bitIndex1))) | v129(VarNext, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_4')).
% 23.91/15.63 tff(1300,plain,
% 23.91/15.63 (![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1299, 1298])).
% 23.91/15.63 tff(1301,plain,
% 23.91/15.63 (![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1300, 1296])).
% 23.91/15.63 tff(1302,plain,(
% 23.91/15.63 ![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 23.91/15.63 inference(skolemize,[status(sab)],[1301])).
% 23.91/15.63 tff(1303,plain,
% 23.91/15.63 (![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 23.91/15.63 inference(modus_ponens,[status(thm)],[1302, 1295])).
% 23.91/15.63 tff(1304,plain,
% 23.91/15.63 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))),
% 23.91/15.63 inference(rewrite,[status(thm)],[])).
% 23.91/15.63 tff(1305,plain,
% 23.91/15.63 (((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1)) <=> ((~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))),
% 23.91/15.63 inference(rewrite,[status(thm)],[])).
% 23.91/15.63 tff(1306,plain,
% 23.91/15.64 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2))))),
% 23.91/15.64 inference(monotonicity,[status(thm)],[1305])).
% 23.91/15.64 tff(1307,plain,
% 23.91/15.64 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))),
% 23.91/15.64 inference(transitivity,[status(thm)],[1306, 1304])).
% 23.91/15.64 tff(1308,plain,
% 23.91/15.64 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1))),
% 23.91/15.64 inference(quant_inst,[status(thm)],[])).
% 23.91/15.64 tff(1309,plain,
% 23.91/15.64 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2))),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1308, 1307])).
% 23.91/15.64 tff(1310,plain,
% 23.91/15.64 ((~v90(constB2, bitIndex1)) | (~v100(constB2))),
% 23.91/15.64 inference(unit_resolution,[status(thm)],[1309, 1303, 1293])).
% 23.91/15.64 tff(1311,plain,
% 23.91/15.64 (~v90(constB2, bitIndex1)),
% 23.91/15.64 inference(unit_resolution,[status(thm)],[1310, 1153])).
% 23.91/15.64 tff(1312,plain,
% 23.91/15.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1313,plain,
% 23.91/15.64 (((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1))) <=> (v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1314,plain,
% 23.91/15.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1))))),
% 23.91/15.64 inference(monotonicity,[status(thm)],[1313])).
% 23.91/15.64 tff(1315,plain,
% 23.91/15.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 23.91/15.64 inference(transitivity,[status(thm)],[1314, 1312])).
% 23.91/15.64 tff(1316,plain,
% 23.91/15.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 23.91/15.64 inference(quant_inst,[status(thm)],[])).
% 23.91/15.64 tff(1317,plain,
% 23.91/15.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1))),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1316, 1315])).
% 23.91/15.64 tff(1318,plain,
% 23.91/15.64 (v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1))),
% 23.91/15.64 inference(unit_resolution,[status(thm)],[1317, 913, 1218])).
% 23.91/15.64 tff(1319,plain,
% 23.91/15.64 (v90(constB2, bitIndex1) | (~v90(constB3, bitIndex1))),
% 23.91/15.64 inference(unit_resolution,[status(thm)],[1318, 1230])).
% 23.91/15.64 tff(1320,plain,
% 23.91/15.64 (~v90(constB3, bitIndex1)),
% 23.91/15.64 inference(unit_resolution,[status(thm)],[1319, 1311])).
% 23.91/15.64 tff(1321,plain,
% 23.91/15.64 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 23.91/15.64 inference(bind,[status(th)],[])).
% 23.91/15.64 tff(1322,plain,
% 23.91/15.64 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 23.91/15.64 inference(quant_intro,[status(thm)],[1321])).
% 23.91/15.64 tff(1323,plain,
% 23.91/15.64 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1324,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_1')).
% 23.91/15.64 tff(1325,plain,
% 23.91/15.64 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1324, 1323])).
% 23.91/15.64 tff(1326,plain,(
% 23.91/15.64 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 23.91/15.64 inference(skolemize,[status(sab)],[1325])).
% 23.91/15.64 tff(1327,plain,
% 23.91/15.64 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1326, 1322])).
% 23.91/15.64 tff(1328,plain,
% 23.91/15.64 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB1)) | (~v130(constB1, bitIndex0)))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1329,plain,
% 23.91/15.64 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex0)))),
% 23.91/15.64 inference(quant_inst,[status(thm)],[])).
% 23.91/15.64 tff(1330,plain,
% 23.91/15.64 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB1)) | (~v130(constB1, bitIndex0))),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1329, 1328])).
% 23.91/15.64 tff(1331,plain,
% 23.91/15.64 (~v130(constB1, bitIndex0)),
% 23.91/15.64 inference(unit_resolution,[status(thm)],[1330, 1327, 962])).
% 23.91/15.64 tff(1332,plain,
% 23.91/15.64 (^[VarCurr: state_type] : refl((v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))))),
% 23.91/15.64 inference(bind,[status(th)],[])).
% 23.91/15.64 tff(1333,plain,
% 23.91/15.64 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 23.91/15.64 inference(quant_intro,[status(thm)],[1332])).
% 23.91/15.64 tff(1334,plain,
% 23.91/15.64 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1335,plain,
% 23.91/15.64 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v127(VarCurr, bitIndex0))) | v130(VarCurr, bitIndex0)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))))),
% 23.91/15.64 inference(bind,[status(th)],[])).
% 23.91/15.64 tff(1336,plain,
% 23.91/15.64 (![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, bitIndex0))) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 23.91/15.64 inference(quant_intro,[status(thm)],[1335])).
% 23.91/15.64 tff(1337,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, bitIndex0))) | v130(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_2')).
% 23.91/15.64 tff(1338,plain,
% 23.91/15.64 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1337, 1336])).
% 23.91/15.64 tff(1339,plain,
% 23.91/15.64 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1338, 1334])).
% 23.91/15.64 tff(1340,plain,(
% 23.91/15.64 ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 23.91/15.64 inference(skolemize,[status(sab)],[1339])).
% 23.91/15.64 tff(1341,plain,
% 23.91/15.64 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1340, 1333])).
% 23.91/15.64 tff(1342,plain,
% 23.91/15.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB1, bitIndex0)) | v26(constB1) | v130(constB1, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB1, bitIndex0)) | v26(constB1) | v130(constB1, bitIndex0))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1343,plain,
% 23.91/15.64 ((v26(constB1) | v130(constB1, bitIndex0) | (~v127(constB1, bitIndex0))) <=> ((~v127(constB1, bitIndex0)) | v26(constB1) | v130(constB1, bitIndex0))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1344,plain,
% 23.91/15.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB1) | v130(constB1, bitIndex0) | (~v127(constB1, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB1, bitIndex0)) | v26(constB1) | v130(constB1, bitIndex0)))),
% 23.91/15.64 inference(monotonicity,[status(thm)],[1343])).
% 23.91/15.64 tff(1345,plain,
% 23.91/15.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB1) | v130(constB1, bitIndex0) | (~v127(constB1, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB1, bitIndex0)) | v26(constB1) | v130(constB1, bitIndex0))),
% 23.91/15.64 inference(transitivity,[status(thm)],[1344, 1342])).
% 23.91/15.64 tff(1346,plain,
% 23.91/15.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB1) | v130(constB1, bitIndex0) | (~v127(constB1, bitIndex0)))),
% 23.91/15.64 inference(quant_inst,[status(thm)],[])).
% 23.91/15.64 tff(1347,plain,
% 23.91/15.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB1, bitIndex0)) | v26(constB1) | v130(constB1, bitIndex0)),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1346, 1345])).
% 23.91/15.64 tff(1348,plain,
% 23.91/15.64 ((~v127(constB1, bitIndex0)) | v26(constB1)),
% 23.91/15.64 inference(unit_resolution,[status(thm)],[1347, 1341, 1331])).
% 23.91/15.64 tff(1349,plain,
% 23.91/15.64 (~v127(constB1, bitIndex0)),
% 23.91/15.64 inference(unit_resolution,[status(thm)],[1348, 844])).
% 23.91/15.64 tff(1350,plain,
% 23.91/15.64 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))))),
% 23.91/15.64 inference(bind,[status(th)],[])).
% 23.91/15.64 tff(1351,plain,
% 23.91/15.64 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 23.91/15.64 inference(quant_intro,[status(thm)],[1350])).
% 23.91/15.64 tff(1352,plain,
% 23.91/15.64 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1353,plain,
% 23.91/15.64 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex0))) | v127(VarCurr, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))))),
% 23.91/15.64 inference(bind,[status(th)],[])).
% 23.91/15.64 tff(1354,plain,
% 23.91/15.64 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex0))) | v127(VarCurr, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 23.91/15.64 inference(quant_intro,[status(thm)],[1353])).
% 23.91/15.64 tff(1355,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex0))) | v127(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_2')).
% 23.91/15.64 tff(1356,plain,
% 23.91/15.64 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1355, 1354])).
% 23.91/15.64 tff(1357,plain,
% 23.91/15.64 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1356, 1352])).
% 23.91/15.64 tff(1358,plain,(
% 23.91/15.64 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 23.91/15.64 inference(skolemize,[status(sab)],[1357])).
% 23.91/15.64 tff(1359,plain,
% 23.91/15.64 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1358, 1351])).
% 23.91/15.64 tff(1360,plain,
% 23.91/15.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex0) | (~v129(constB2, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex0) | (~v129(constB2, bitIndex0)))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1361,plain,
% 23.91/15.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex0) | (~v129(constB2, bitIndex0)))),
% 23.91/15.64 inference(quant_inst,[status(thm)],[])).
% 23.91/15.64 tff(1362,plain,
% 23.91/15.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex0) | (~v129(constB2, bitIndex0))),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1361, 1360])).
% 23.91/15.64 tff(1363,plain,
% 23.91/15.64 (v127(constB1, bitIndex0) | (~v129(constB2, bitIndex0))),
% 23.91/15.64 inference(unit_resolution,[status(thm)],[1362, 1359, 1072])).
% 23.91/15.64 tff(1364,plain,
% 23.91/15.64 (~v129(constB2, bitIndex0)),
% 23.91/15.64 inference(unit_resolution,[status(thm)],[1363, 1349])).
% 23.91/15.64 tff(1365,plain,
% 23.91/15.64 (^[VarNext: state_type] : refl(((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)))),
% 23.91/15.64 inference(bind,[status(th)],[])).
% 23.91/15.64 tff(1366,plain,
% 23.91/15.64 (![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 23.91/15.64 inference(quant_intro,[status(thm)],[1365])).
% 23.91/15.64 tff(1367,plain,
% 23.91/15.64 (![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1368,plain,
% 23.91/15.64 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v90(VarNext, bitIndex0))) | v129(VarNext, bitIndex0)) <=> ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)))),
% 23.91/15.64 inference(bind,[status(th)],[])).
% 23.91/15.64 tff(1369,plain,
% 23.91/15.64 (![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, bitIndex0))) | v129(VarNext, bitIndex0)) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 23.91/15.64 inference(quant_intro,[status(thm)],[1368])).
% 23.91/15.64 tff(1370,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, bitIndex0))) | v129(VarNext, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_2')).
% 23.91/15.64 tff(1371,plain,
% 23.91/15.64 (![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1370, 1369])).
% 23.91/15.64 tff(1372,plain,
% 23.91/15.64 (![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1371, 1367])).
% 23.91/15.64 tff(1373,plain,(
% 23.91/15.64 ![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 23.91/15.64 inference(skolemize,[status(sab)],[1372])).
% 23.91/15.64 tff(1374,plain,
% 23.91/15.64 (![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1373, 1366])).
% 23.91/15.64 tff(1375,plain,
% 23.91/15.64 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB2, bitIndex0)) | v129(constB2, bitIndex0) | (~v100(constB2)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB2, bitIndex0)) | v129(constB2, bitIndex0) | (~v100(constB2)))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1376,plain,
% 23.91/15.64 (((~v90(constB2, bitIndex0)) | (~v100(constB2)) | v129(constB2, bitIndex0)) <=> ((~v90(constB2, bitIndex0)) | v129(constB2, bitIndex0) | (~v100(constB2)))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1377,plain,
% 23.91/15.64 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB2, bitIndex0)) | (~v100(constB2)) | v129(constB2, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB2, bitIndex0)) | v129(constB2, bitIndex0) | (~v100(constB2))))),
% 23.91/15.64 inference(monotonicity,[status(thm)],[1376])).
% 23.91/15.64 tff(1378,plain,
% 23.91/15.64 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB2, bitIndex0)) | (~v100(constB2)) | v129(constB2, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB2, bitIndex0)) | v129(constB2, bitIndex0) | (~v100(constB2)))),
% 23.91/15.64 inference(transitivity,[status(thm)],[1377, 1375])).
% 23.91/15.64 tff(1379,plain,
% 23.91/15.64 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB2, bitIndex0)) | (~v100(constB2)) | v129(constB2, bitIndex0))),
% 23.91/15.64 inference(quant_inst,[status(thm)],[])).
% 23.91/15.64 tff(1380,plain,
% 23.91/15.64 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB2, bitIndex0)) | v129(constB2, bitIndex0) | (~v100(constB2))),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1379, 1378])).
% 23.91/15.64 tff(1381,plain,
% 23.91/15.64 ((~v90(constB2, bitIndex0)) | (~v100(constB2))),
% 23.91/15.64 inference(unit_resolution,[status(thm)],[1380, 1374, 1364])).
% 23.91/15.64 tff(1382,plain,
% 23.91/15.64 (~v90(constB2, bitIndex0)),
% 23.91/15.64 inference(unit_resolution,[status(thm)],[1381, 1153])).
% 23.91/15.64 tff(1383,plain,
% 23.91/15.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex0)))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1384,plain,
% 23.91/15.64 (((~nextState(constB2, constB3)) | v90(constB2, bitIndex0) | v100(constB3) | (~v90(constB3, bitIndex0))) <=> (v90(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex0)))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1385,plain,
% 23.91/15.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex0) | v100(constB3) | (~v90(constB3, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex0))))),
% 23.91/15.64 inference(monotonicity,[status(thm)],[1384])).
% 23.91/15.64 tff(1386,plain,
% 23.91/15.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex0) | v100(constB3) | (~v90(constB3, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex0)))),
% 23.91/15.64 inference(transitivity,[status(thm)],[1385, 1383])).
% 23.91/15.64 tff(1387,plain,
% 23.91/15.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex0) | v100(constB3) | (~v90(constB3, bitIndex0)))),
% 23.91/15.64 inference(quant_inst,[status(thm)],[])).
% 23.91/15.64 tff(1388,plain,
% 23.91/15.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex0))),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1387, 1386])).
% 23.91/15.64 tff(1389,plain,
% 23.91/15.64 (v90(constB2, bitIndex0) | v100(constB3) | (~v90(constB3, bitIndex0))),
% 23.91/15.64 inference(unit_resolution,[status(thm)],[1388, 934, 1218])).
% 23.91/15.64 tff(1390,plain,
% 23.91/15.64 (v90(constB2, bitIndex0) | (~v90(constB3, bitIndex0))),
% 23.91/15.64 inference(unit_resolution,[status(thm)],[1389, 1230])).
% 23.91/15.64 tff(1391,plain,
% 23.91/15.64 (~v90(constB3, bitIndex0)),
% 23.91/15.64 inference(unit_resolution,[status(thm)],[1390, 1382])).
% 23.91/15.64 tff(1392,plain,
% 23.91/15.64 (^[VarCurr: state_type] : refl((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)))),
% 23.91/15.64 inference(bind,[status(th)],[])).
% 23.91/15.64 tff(1393,plain,
% 23.91/15.64 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 23.91/15.64 inference(quant_intro,[status(thm)],[1392])).
% 23.91/15.64 tff(1394,plain,
% 23.91/15.64 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1395,plain,
% 23.91/15.64 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))), ((((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))) | v123(VarCurr)) <=> ((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))) | v123(VarCurr)))), rewrite(((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))) | v123(VarCurr)) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))), ((((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))) | v123(VarCurr)) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))))),
% 23.91/15.64 inference(bind,[status(th)],[])).
% 23.91/15.64 tff(1396,plain,
% 23.91/15.64 (![VarCurr: state_type] : (((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))) | v123(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 23.91/15.64 inference(quant_intro,[status(thm)],[1395])).
% 23.91/15.64 tff(1397,axiom,(![VarCurr: state_type] : (((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))) | v123(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_1')).
% 23.91/15.64 tff(1398,plain,
% 23.91/15.64 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1397, 1396])).
% 23.91/15.64 tff(1399,plain,
% 23.91/15.64 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1398, 1394])).
% 23.91/15.64 tff(1400,plain,(
% 23.91/15.64 ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 23.91/15.64 inference(skolemize,[status(sab)],[1399])).
% 23.91/15.64 tff(1401,plain,
% 23.91/15.64 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1400, 1393])).
% 23.91/15.64 tff(1402,plain,
% 23.91/15.64 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB3, bitIndex0) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex2)) | v123(constB3))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB3, bitIndex0) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex2)) | v123(constB3))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1403,plain,
% 23.91/15.64 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB3, bitIndex0) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex2)) | v123(constB3))),
% 23.91/15.64 inference(quant_inst,[status(thm)],[])).
% 23.91/15.64 tff(1404,plain,
% 23.91/15.64 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB3, bitIndex0) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex2)) | v123(constB3)),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1403, 1402])).
% 23.91/15.64 tff(1405,plain,
% 23.91/15.64 (v123(constB3)),
% 23.91/15.64 inference(unit_resolution,[status(thm)],[1404, 1401, 1391, 1320, 1249])).
% 23.91/15.64 tff(1406,plain,
% 23.91/15.64 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | v115(VarCurr)) <=> ((~v123(VarCurr)) | v115(VarCurr)))),
% 23.91/15.64 inference(bind,[status(th)],[])).
% 23.91/15.64 tff(1407,plain,
% 23.91/15.64 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 23.91/15.64 inference(quant_intro,[status(thm)],[1406])).
% 23.91/15.64 tff(1408,plain,
% 23.91/15.64 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1409,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_1')).
% 23.91/15.64 tff(1410,plain,
% 23.91/15.64 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1409, 1408])).
% 23.91/15.64 tff(1411,plain,(
% 23.91/15.64 ![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 23.91/15.64 inference(skolemize,[status(sab)],[1410])).
% 23.91/15.64 tff(1412,plain,
% 23.91/15.64 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1411, 1407])).
% 23.91/15.64 tff(1413,plain,
% 23.91/15.64 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB3)) | v115(constB3))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB3)) | v115(constB3))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1414,plain,
% 23.91/15.64 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB3)) | v115(constB3))),
% 23.91/15.64 inference(quant_inst,[status(thm)],[])).
% 23.91/15.64 tff(1415,plain,
% 23.91/15.64 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB3)) | v115(constB3)),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1414, 1413])).
% 23.91/15.64 tff(1416,plain,
% 23.91/15.64 (v115(constB3)),
% 23.91/15.64 inference(unit_resolution,[status(thm)],[1415, 1412, 1405])).
% 23.91/15.64 tff(1417,plain,
% 23.91/15.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB3) | (~v115(constB3)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB3) | (~v115(constB3)))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1418,plain,
% 23.91/15.64 (((~v115(constB3)) | v114(constB3)) <=> (v114(constB3) | (~v115(constB3)))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1419,plain,
% 23.91/15.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB3)) | v114(constB3))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB3) | (~v115(constB3))))),
% 23.91/15.64 inference(monotonicity,[status(thm)],[1418])).
% 23.91/15.64 tff(1420,plain,
% 23.91/15.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB3)) | v114(constB3))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB3) | (~v115(constB3)))),
% 23.91/15.64 inference(transitivity,[status(thm)],[1419, 1417])).
% 23.91/15.64 tff(1421,plain,
% 23.91/15.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB3)) | v114(constB3))),
% 23.91/15.64 inference(quant_inst,[status(thm)],[])).
% 23.91/15.64 tff(1422,plain,
% 23.91/15.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB3) | (~v115(constB3))),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1421, 1420])).
% 23.91/15.64 tff(1423,plain,
% 23.91/15.64 (v114(constB3)),
% 23.91/15.64 inference(unit_resolution,[status(thm)],[1422, 1022, 1416])).
% 23.91/15.64 tff(1424,plain,
% 23.91/15.64 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB3)) | v113(constB3))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB3)) | v113(constB3))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1425,plain,
% 23.91/15.64 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB3)) | v113(constB3))),
% 23.91/15.64 inference(quant_inst,[status(thm)],[])).
% 23.91/15.64 tff(1426,plain,
% 23.91/15.64 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB3)) | v113(constB3)),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1425, 1424])).
% 23.91/15.64 tff(1427,plain,
% 23.91/15.64 (v113(constB3)),
% 23.91/15.64 inference(unit_resolution,[status(thm)],[1426, 1036, 1423])).
% 23.91/15.64 tff(1428,plain,
% 23.91/15.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | v112(constB3) | (~v113(constB3)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | v112(constB3) | (~v113(constB3)))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1429,plain,
% 23.91/15.64 ((v26(constB3) | (~v113(constB3)) | v112(constB3)) <=> (v26(constB3) | v112(constB3) | (~v113(constB3)))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1430,plain,
% 23.91/15.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | v112(constB3) | (~v113(constB3))))),
% 23.91/15.64 inference(monotonicity,[status(thm)],[1429])).
% 23.91/15.64 tff(1431,plain,
% 23.91/15.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | v112(constB3) | (~v113(constB3)))),
% 23.91/15.64 inference(transitivity,[status(thm)],[1430, 1428])).
% 23.91/15.64 tff(1432,plain,
% 23.91/15.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))),
% 23.91/15.64 inference(quant_inst,[status(thm)],[])).
% 23.91/15.64 tff(1433,plain,
% 23.91/15.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | v112(constB3) | (~v113(constB3))),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1432, 1431])).
% 23.91/15.64 tff(1434,plain,
% 23.91/15.64 (v26(constB3) | v112(constB3)),
% 23.91/15.64 inference(unit_resolution,[status(thm)],[1433, 1050, 1427])).
% 23.91/15.64 tff(1435,plain,
% 23.91/15.64 (v112(constB3)),
% 23.91/15.64 inference(unit_resolution,[status(thm)],[1434, 840])).
% 23.91/15.64 tff(1436,plain,
% 23.91/15.64 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB3) | (~v112(constB3)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v112(constB3)))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1437,plain,
% 23.91/15.64 (((~v112(constB3)) | v108(constB3)) <=> (v108(constB3) | (~v112(constB3)))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1438,plain,
% 23.91/15.64 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB3)) | v108(constB3))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB3) | (~v112(constB3))))),
% 23.91/15.64 inference(monotonicity,[status(thm)],[1437])).
% 23.91/15.64 tff(1439,plain,
% 23.91/15.64 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB3)) | v108(constB3))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v112(constB3)))),
% 23.91/15.64 inference(transitivity,[status(thm)],[1438, 1436])).
% 23.91/15.64 tff(1440,plain,
% 23.91/15.64 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB3)) | v108(constB3))),
% 23.91/15.64 inference(quant_inst,[status(thm)],[])).
% 23.91/15.64 tff(1441,plain,
% 23.91/15.64 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v112(constB3))),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1440, 1439])).
% 23.91/15.64 tff(1442,plain,
% 23.91/15.64 (v108(constB3)),
% 23.91/15.64 inference(unit_resolution,[status(thm)],[1441, 1062, 1435])).
% 23.91/15.64 tff(1443,plain,
% 23.91/15.64 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1444,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_3_1')).
% 23.91/15.64 tff(1445,plain,
% 23.91/15.64 (nextState(constB3, constB4)),
% 23.91/15.64 inference(modus_ponens,[status(thm)],[1444, 1443])).
% 23.91/15.64 tff(1446,plain,
% 23.91/15.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1447,plain,
% 23.91/15.64 (((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4)) <=> ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 23.91/15.64 inference(rewrite,[status(thm)],[])).
% 23.91/15.64 tff(1448,plain,
% 23.91/15.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3))))),
% 23.91/15.64 inference(monotonicity,[status(thm)],[1447])).
% 23.91/15.64 tff(1449,plain,
% 23.91/15.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 23.91/15.64 inference(transitivity,[status(thm)],[1448, 1446])).
% 23.91/15.64 tff(1450,plain,
% 23.91/15.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))),
% 23.91/15.65 inference(quant_inst,[status(thm)],[])).
% 23.91/15.65 tff(1451,plain,
% 23.91/15.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3))),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1450, 1449])).
% 23.91/15.65 tff(1452,plain,
% 23.91/15.65 (v110(constB4) | (~v108(constB3))),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1451, 1082, 1445])).
% 23.91/15.65 tff(1453,plain,
% 23.91/15.65 (v110(constB4)),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1452, 1442])).
% 23.91/15.65 tff(1454,plain,
% 23.91/15.65 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1455,plain,
% 23.91/15.65 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))),
% 23.91/15.65 inference(quant_inst,[status(thm)],[])).
% 23.91/15.65 tff(1456,plain,
% 23.91/15.65 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4))),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1455, 1454])).
% 23.91/15.65 tff(1457,plain,
% 23.91/15.65 (~v104(constB4)),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1456, 1100, 1445, 1215])).
% 23.91/15.65 tff(1458,plain,
% 23.91/15.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1459,plain,
% 23.91/15.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))),
% 23.91/15.65 inference(quant_inst,[status(thm)],[])).
% 23.91/15.65 tff(1460,plain,
% 23.91/15.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v102(constB4) | v104(constB4)),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1459, 1458])).
% 23.91/15.65 tff(1461,plain,
% 23.91/15.65 (v102(constB4) | v104(constB4)),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1460, 1114, 1445])).
% 23.91/15.65 tff(1462,plain,
% 23.91/15.65 (v102(constB4)),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1461, 1457])).
% 23.91/15.65 tff(1463,plain,
% 23.91/15.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1464,plain,
% 23.91/15.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))),
% 23.91/15.65 inference(quant_inst,[status(thm)],[])).
% 23.91/15.65 tff(1465,plain,
% 23.91/15.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4))),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1464, 1463])).
% 23.91/15.65 tff(1466,plain,
% 23.91/15.65 (v101(constB4) | (~v102(constB4))),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1465, 1129, 1445, 592])).
% 23.91/15.65 tff(1467,plain,
% 23.91/15.65 (v101(constB4)),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1466, 1462])).
% 23.91/15.65 tff(1468,plain,
% 23.91/15.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1469,plain,
% 23.91/15.65 (((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4)) <=> ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1470,plain,
% 23.91/15.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4))))),
% 23.91/15.65 inference(monotonicity,[status(thm)],[1469])).
% 23.91/15.65 tff(1471,plain,
% 23.91/15.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 23.91/15.65 inference(transitivity,[status(thm)],[1470, 1468])).
% 23.91/15.65 tff(1472,plain,
% 23.91/15.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))),
% 23.91/15.65 inference(quant_inst,[status(thm)],[])).
% 23.91/15.65 tff(1473,plain,
% 23.91/15.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1472, 1471])).
% 23.91/15.65 tff(1474,plain,
% 23.91/15.65 (v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1473, 1144, 1445])).
% 23.91/15.65 tff(1475,plain,
% 23.91/15.65 (v100(constB4) | (~v110(constB4))),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1474, 1467])).
% 23.91/15.65 tff(1476,plain,
% 23.91/15.65 (v100(constB4)),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1475, 1453])).
% 23.91/15.65 tff(1477,plain,
% 23.91/15.65 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 23.91/15.65 inference(bind,[status(th)],[])).
% 23.91/15.65 tff(1478,plain,
% 23.91/15.65 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 23.91/15.65 inference(quant_intro,[status(thm)],[1477])).
% 23.91/15.65 tff(1479,plain,
% 23.91/15.65 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1480,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_3')).
% 23.91/15.65 tff(1481,plain,
% 23.91/15.65 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1480, 1479])).
% 23.91/15.65 tff(1482,plain,(
% 23.91/15.65 ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 23.91/15.65 inference(skolemize,[status(sab)],[1481])).
% 23.91/15.65 tff(1483,plain,
% 23.91/15.65 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1482, 1478])).
% 23.91/15.65 tff(1484,plain,
% 23.91/15.65 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB3)) | v130(constB3, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB3)) | v130(constB3, bitIndex2))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1485,plain,
% 23.91/15.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB3)) | v130(constB3, bitIndex2))),
% 23.91/15.65 inference(quant_inst,[status(thm)],[])).
% 23.91/15.65 tff(1486,plain,
% 23.91/15.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB3)) | v130(constB3, bitIndex2)),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1485, 1484])).
% 23.91/15.65 tff(1487,plain,
% 23.91/15.65 (v130(constB3, bitIndex2)),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1486, 1483, 1405])).
% 23.91/15.65 tff(1488,plain,
% 23.91/15.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB3) | (~v130(constB3, bitIndex2)) | v127(constB3, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB3) | (~v130(constB3, bitIndex2)) | v127(constB3, bitIndex2))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1489,plain,
% 23.91/15.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB3) | (~v130(constB3, bitIndex2)) | v127(constB3, bitIndex2))),
% 23.91/15.65 inference(quant_inst,[status(thm)],[])).
% 23.91/15.65 tff(1490,plain,
% 23.91/15.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB3) | (~v130(constB3, bitIndex2)) | v127(constB3, bitIndex2)),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1489, 1488])).
% 23.91/15.65 tff(1491,plain,
% 23.91/15.65 (v26(constB3) | v127(constB3, bitIndex2)),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1490, 1174, 1487])).
% 23.91/15.65 tff(1492,plain,
% 23.91/15.65 (v127(constB3, bitIndex2)),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1491, 840])).
% 23.91/15.65 tff(1493,plain,
% 23.91/15.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB3, constB4)) | (~v127(constB3, bitIndex2)) | v129(constB4, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB3, constB4)) | (~v127(constB3, bitIndex2)) | v129(constB4, bitIndex2))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1494,plain,
% 23.91/15.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB3, constB4)) | (~v127(constB3, bitIndex2)) | v129(constB4, bitIndex2))),
% 23.91/15.65 inference(quant_inst,[status(thm)],[])).
% 23.91/15.65 tff(1495,plain,
% 23.91/15.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB3, constB4)) | (~v127(constB3, bitIndex2)) | v129(constB4, bitIndex2)),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1494, 1493])).
% 23.91/15.65 tff(1496,plain,
% 23.91/15.65 ((~v127(constB3, bitIndex2)) | v129(constB4, bitIndex2)),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1495, 1189, 1445])).
% 23.91/15.65 tff(1497,plain,
% 23.91/15.65 (v129(constB4, bitIndex2)),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1496, 1492])).
% 23.91/15.65 tff(1498,plain,
% 23.91/15.65 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB4, bitIndex2) | (~v129(constB4, bitIndex2)) | (~v100(constB4)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB4, bitIndex2) | (~v129(constB4, bitIndex2)) | (~v100(constB4)))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1499,plain,
% 23.91/15.65 ((v90(constB4, bitIndex2) | (~v100(constB4)) | (~v129(constB4, bitIndex2))) <=> (v90(constB4, bitIndex2) | (~v129(constB4, bitIndex2)) | (~v100(constB4)))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1500,plain,
% 23.91/15.65 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB4, bitIndex2) | (~v100(constB4)) | (~v129(constB4, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB4, bitIndex2) | (~v129(constB4, bitIndex2)) | (~v100(constB4))))),
% 23.91/15.65 inference(monotonicity,[status(thm)],[1499])).
% 23.91/15.65 tff(1501,plain,
% 23.91/15.65 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB4, bitIndex2) | (~v100(constB4)) | (~v129(constB4, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB4, bitIndex2) | (~v129(constB4, bitIndex2)) | (~v100(constB4)))),
% 23.91/15.65 inference(transitivity,[status(thm)],[1500, 1498])).
% 23.91/15.65 tff(1502,plain,
% 23.91/15.65 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB4, bitIndex2) | (~v100(constB4)) | (~v129(constB4, bitIndex2)))),
% 23.91/15.65 inference(quant_inst,[status(thm)],[])).
% 23.91/15.65 tff(1503,plain,
% 23.91/15.65 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB4, bitIndex2) | (~v129(constB4, bitIndex2)) | (~v100(constB4))),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1502, 1501])).
% 23.91/15.65 tff(1504,plain,
% 23.91/15.65 (v90(constB4, bitIndex2) | (~v100(constB4))),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1503, 1204, 1497])).
% 23.91/15.65 tff(1505,plain,
% 23.91/15.65 (v90(constB4, bitIndex2)),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1504, 1476])).
% 23.91/15.65 tff(1506,plain,
% 23.91/15.65 ((~v1(constB5)) <=> (~v1(constB5))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1507,axiom,(~v1(constB5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_5_1_1')).
% 23.91/15.65 tff(1508,plain,
% 23.91/15.65 (~v1(constB5)),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1507, 1506])).
% 23.91/15.65 tff(1509,plain,
% 23.91/15.65 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1510,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_4_1')).
% 23.91/15.65 tff(1511,plain,
% 23.91/15.65 (nextState(constB4, constB5)),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1510, 1509])).
% 23.91/15.65 tff(1512,plain,
% 23.91/15.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1513,plain,
% 23.91/15.65 (((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5)) <=> (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1514,plain,
% 23.91/15.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5))))),
% 23.91/15.65 inference(monotonicity,[status(thm)],[1513])).
% 23.91/15.65 tff(1515,plain,
% 23.91/15.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 23.91/15.65 inference(transitivity,[status(thm)],[1514, 1512])).
% 23.91/15.65 tff(1516,plain,
% 23.91/15.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))),
% 23.91/15.65 inference(quant_inst,[status(thm)],[])).
% 23.91/15.65 tff(1517,plain,
% 23.91/15.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5))),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1516, 1515])).
% 23.91/15.65 tff(1518,plain,
% 23.91/15.65 (~v101(constB5)),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1517, 860, 1511, 1508])).
% 23.91/15.65 tff(1519,plain,
% 23.91/15.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1520,plain,
% 23.91/15.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))),
% 23.91/15.65 inference(quant_inst,[status(thm)],[])).
% 23.91/15.65 tff(1521,plain,
% 23.91/15.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5))),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1520, 1519])).
% 23.91/15.65 tff(1522,plain,
% 23.91/15.65 (v101(constB5) | (~v100(constB5))),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1521, 877, 1511])).
% 23.91/15.65 tff(1523,plain,
% 23.91/15.65 (~v100(constB5)),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1522, 1518])).
% 23.91/15.65 tff(1524,plain,
% 23.91/15.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex2))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1525,plain,
% 23.91/15.65 (((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex2)) | v100(constB5) | v90(constB5, bitIndex2)) <=> ((~v90(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex2))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1526,plain,
% 23.91/15.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex2)) | v100(constB5) | v90(constB5, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex2)))),
% 23.91/15.65 inference(monotonicity,[status(thm)],[1525])).
% 23.91/15.65 tff(1527,plain,
% 23.91/15.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex2)) | v100(constB5) | v90(constB5, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex2))),
% 23.91/15.65 inference(transitivity,[status(thm)],[1526, 1524])).
% 23.91/15.65 tff(1528,plain,
% 23.91/15.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex2)) | v100(constB5) | v90(constB5, bitIndex2))),
% 23.91/15.65 inference(quant_inst,[status(thm)],[])).
% 23.91/15.65 tff(1529,plain,
% 23.91/15.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex2)),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1528, 1527])).
% 23.91/15.65 tff(1530,plain,
% 23.91/15.65 ((~v90(constB4, bitIndex2)) | v100(constB5) | v90(constB5, bitIndex2)),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1529, 1240, 1511])).
% 23.91/15.65 tff(1531,plain,
% 23.91/15.65 ((~v90(constB4, bitIndex2)) | v90(constB5, bitIndex2)),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1530, 1523])).
% 23.91/15.65 tff(1532,plain,
% 23.91/15.65 (v90(constB5, bitIndex2)),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1531, 1505])).
% 23.91/15.65 tff(1533,plain,
% 23.91/15.65 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 23.91/15.65 inference(bind,[status(th)],[])).
% 23.91/15.65 tff(1534,plain,
% 23.91/15.65 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))),
% 23.91/15.65 inference(quant_intro,[status(thm)],[1533])).
% 23.91/15.65 tff(1535,plain,
% 23.91/15.65 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1536,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_2')).
% 23.91/15.65 tff(1537,plain,
% 23.91/15.65 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1536, 1535])).
% 23.91/15.65 tff(1538,plain,(
% 23.91/15.65 ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))),
% 23.91/15.65 inference(skolemize,[status(sab)],[1537])).
% 23.91/15.65 tff(1539,plain,
% 23.91/15.65 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1538, 1534])).
% 23.91/15.65 tff(1540,plain,
% 23.91/15.65 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB3)) | v130(constB3, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB3)) | v130(constB3, bitIndex1))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1541,plain,
% 23.91/15.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB3)) | v130(constB3, bitIndex1))),
% 23.91/15.65 inference(quant_inst,[status(thm)],[])).
% 23.91/15.65 tff(1542,plain,
% 23.91/15.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB3)) | v130(constB3, bitIndex1)),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1541, 1540])).
% 23.91/15.65 tff(1543,plain,
% 23.91/15.65 (v130(constB3, bitIndex1)),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1542, 1539, 1405])).
% 23.91/15.65 tff(1544,plain,
% 23.91/15.65 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)))),
% 23.91/15.65 inference(bind,[status(th)],[])).
% 23.91/15.65 tff(1545,plain,
% 23.91/15.65 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 23.91/15.65 inference(quant_intro,[status(thm)],[1544])).
% 23.91/15.65 tff(1546,plain,
% 23.91/15.65 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1547,plain,
% 23.91/15.65 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v130(VarCurr, bitIndex1))) | v127(VarCurr, bitIndex1)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)))),
% 23.91/15.65 inference(bind,[status(th)],[])).
% 23.91/15.65 tff(1548,plain,
% 23.91/15.65 (![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, bitIndex1))) | v127(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 23.91/15.65 inference(quant_intro,[status(thm)],[1547])).
% 23.91/15.65 tff(1549,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, bitIndex1))) | v127(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_3')).
% 23.91/15.65 tff(1550,plain,
% 23.91/15.65 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1549, 1548])).
% 23.91/15.65 tff(1551,plain,
% 23.91/15.65 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1550, 1546])).
% 23.91/15.65 tff(1552,plain,(
% 23.91/15.65 ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 23.91/15.65 inference(skolemize,[status(sab)],[1551])).
% 23.91/15.65 tff(1553,plain,
% 23.91/15.65 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1552, 1545])).
% 23.91/15.65 tff(1554,plain,
% 23.91/15.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1555,plain,
% 23.91/15.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1))),
% 23.91/15.65 inference(quant_inst,[status(thm)],[])).
% 23.91/15.65 tff(1556,plain,
% 23.91/15.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1)),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1555, 1554])).
% 23.91/15.65 tff(1557,plain,
% 23.91/15.65 (v26(constB3) | v127(constB3, bitIndex1)),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1556, 1553, 1543])).
% 23.91/15.65 tff(1558,plain,
% 23.91/15.65 (v127(constB3, bitIndex1)),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1557, 840])).
% 23.91/15.65 tff(1559,plain,
% 23.91/15.65 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)))),
% 23.91/15.65 inference(bind,[status(th)],[])).
% 23.91/15.65 tff(1560,plain,
% 23.91/15.65 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 23.91/15.65 inference(quant_intro,[status(thm)],[1559])).
% 23.91/15.65 tff(1561,plain,
% 23.91/15.65 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1562,plain,
% 23.91/15.65 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1))) | v129(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)))),
% 23.91/15.65 inference(bind,[status(th)],[])).
% 23.91/15.65 tff(1563,plain,
% 23.91/15.65 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1))) | v129(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 23.91/15.65 inference(quant_intro,[status(thm)],[1562])).
% 23.91/15.65 tff(1564,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1))) | v129(VarNext, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_3')).
% 23.91/15.65 tff(1565,plain,
% 23.91/15.65 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1564, 1563])).
% 23.91/15.65 tff(1566,plain,
% 23.91/15.65 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1565, 1561])).
% 23.91/15.65 tff(1567,plain,(
% 23.91/15.65 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 23.91/15.65 inference(skolemize,[status(sab)],[1566])).
% 23.91/15.65 tff(1568,plain,
% 23.91/15.65 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1567, 1560])).
% 23.91/15.65 tff(1569,plain,
% 23.91/15.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1570,plain,
% 23.91/15.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1))),
% 23.91/15.65 inference(quant_inst,[status(thm)],[])).
% 23.91/15.65 tff(1571,plain,
% 23.91/15.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1)),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1570, 1569])).
% 23.91/15.65 tff(1572,plain,
% 23.91/15.65 ((~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1)),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1571, 1568, 1445])).
% 23.91/15.65 tff(1573,plain,
% 23.91/15.65 (v129(constB4, bitIndex1)),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1572, 1558])).
% 23.91/15.65 tff(1574,plain,
% 23.91/15.65 (^[VarNext: state_type] : refl((v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))))),
% 23.91/15.65 inference(bind,[status(th)],[])).
% 23.91/15.65 tff(1575,plain,
% 23.91/15.65 (![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 23.91/15.65 inference(quant_intro,[status(thm)],[1574])).
% 23.91/15.65 tff(1576,plain,
% 23.91/15.65 (![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1577,plain,
% 23.91/15.65 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v129(VarNext, bitIndex1))) | v90(VarNext, bitIndex1)) <=> (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))))),
% 23.91/15.65 inference(bind,[status(th)],[])).
% 23.91/15.65 tff(1578,plain,
% 23.91/15.65 (![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, bitIndex1))) | v90(VarNext, bitIndex1)) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 23.91/15.65 inference(quant_intro,[status(thm)],[1577])).
% 23.91/15.65 tff(1579,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, bitIndex1))) | v90(VarNext, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_3')).
% 23.91/15.65 tff(1580,plain,
% 23.91/15.65 (![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1579, 1578])).
% 23.91/15.65 tff(1581,plain,
% 23.91/15.65 (![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1580, 1576])).
% 23.91/15.65 tff(1582,plain,(
% 23.91/15.65 ![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 23.91/15.65 inference(skolemize,[status(sab)],[1581])).
% 23.91/15.65 tff(1583,plain,
% 23.91/15.65 (![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1582, 1575])).
% 23.91/15.65 tff(1584,plain,
% 23.91/15.65 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1585,plain,
% 23.91/15.65 ((v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1))) <=> (v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1586,plain,
% 23.91/15.65 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4))))),
% 23.91/15.65 inference(monotonicity,[status(thm)],[1585])).
% 23.91/15.65 tff(1587,plain,
% 23.91/15.65 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))),
% 23.91/15.65 inference(transitivity,[status(thm)],[1586, 1584])).
% 23.91/15.65 tff(1588,plain,
% 23.91/15.65 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1)))),
% 23.91/15.65 inference(quant_inst,[status(thm)],[])).
% 23.91/15.65 tff(1589,plain,
% 23.91/15.65 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4))),
% 23.91/15.65 inference(modus_ponens,[status(thm)],[1588, 1587])).
% 23.91/15.65 tff(1590,plain,
% 23.91/15.65 (v90(constB4, bitIndex1) | (~v100(constB4))),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1589, 1583, 1573])).
% 23.91/15.65 tff(1591,plain,
% 23.91/15.65 (v90(constB4, bitIndex1)),
% 23.91/15.65 inference(unit_resolution,[status(thm)],[1590, 1476])).
% 23.91/15.65 tff(1592,plain,
% 23.91/15.65 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)))),
% 23.91/15.65 inference(bind,[status(th)],[])).
% 23.91/15.65 tff(1593,plain,
% 23.91/15.65 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 23.91/15.65 inference(quant_intro,[status(thm)],[1592])).
% 23.91/15.65 tff(1594,plain,
% 23.91/15.65 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 23.91/15.65 inference(rewrite,[status(thm)],[])).
% 23.91/15.65 tff(1595,plain,
% 23.91/15.65 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex1))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex1))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex1))) | v90(VarNext, bitIndex1)) <=> (((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext)) | v90(VarNext, bitIndex1)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext)) | v90(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex1))) | v90(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))))),
% 23.91/15.66 inference(bind,[status(th)],[])).
% 23.91/15.66 tff(1596,plain,
% 23.91/15.66 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex1))) | v90(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 23.91/15.66 inference(quant_intro,[status(thm)],[1595])).
% 23.91/15.66 tff(1597,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex1))) | v90(VarNext, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_3')).
% 23.91/15.66 tff(1598,plain,
% 23.91/15.66 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1597, 1596])).
% 23.91/15.66 tff(1599,plain,
% 23.91/15.66 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1598, 1594])).
% 23.91/15.66 tff(1600,plain,(
% 23.91/15.66 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 23.91/15.66 inference(skolemize,[status(sab)],[1599])).
% 23.91/15.66 tff(1601,plain,
% 23.91/15.66 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1600, 1593])).
% 23.91/15.66 tff(1602,plain,
% 23.91/15.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1603,plain,
% 23.91/15.66 (((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1)) <=> ((~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1604,plain,
% 23.91/15.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1)))),
% 23.91/15.66 inference(monotonicity,[status(thm)],[1603])).
% 23.91/15.66 tff(1605,plain,
% 23.91/15.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))),
% 23.91/15.66 inference(transitivity,[status(thm)],[1604, 1602])).
% 23.91/15.66 tff(1606,plain,
% 23.91/15.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1))),
% 23.91/15.66 inference(quant_inst,[status(thm)],[])).
% 23.91/15.66 tff(1607,plain,
% 23.91/15.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1)),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1606, 1605])).
% 23.91/15.66 tff(1608,plain,
% 23.91/15.66 ((~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1)),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1607, 1601, 1511])).
% 23.91/15.66 tff(1609,plain,
% 23.91/15.66 ((~v90(constB4, bitIndex1)) | v90(constB5, bitIndex1)),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1608, 1523])).
% 23.91/15.66 tff(1610,plain,
% 23.91/15.66 (v90(constB5, bitIndex1)),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1609, 1591])).
% 23.91/15.66 tff(1611,plain,
% 23.91/15.66 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 23.91/15.66 inference(bind,[status(th)],[])).
% 23.91/15.66 tff(1612,plain,
% 23.91/15.66 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 23.91/15.66 inference(quant_intro,[status(thm)],[1611])).
% 23.91/15.66 tff(1613,plain,
% 23.91/15.66 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1614,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1')).
% 23.91/15.66 tff(1615,plain,
% 23.91/15.66 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1614, 1613])).
% 23.91/15.66 tff(1616,plain,(
% 23.91/15.66 ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 23.91/15.66 inference(skolemize,[status(sab)],[1615])).
% 23.91/15.66 tff(1617,plain,
% 23.91/15.66 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1616, 1612])).
% 23.91/15.66 tff(1618,plain,
% 23.91/15.66 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB3)) | (~v130(constB3, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB3)) | (~v130(constB3, bitIndex0)))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1619,plain,
% 23.91/15.66 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB3)) | (~v130(constB3, bitIndex0)))),
% 23.91/15.66 inference(quant_inst,[status(thm)],[])).
% 23.91/15.66 tff(1620,plain,
% 23.91/15.66 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB3)) | (~v130(constB3, bitIndex0))),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1619, 1618])).
% 23.91/15.66 tff(1621,plain,
% 23.91/15.66 (~v130(constB3, bitIndex0)),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1620, 1617, 1405])).
% 23.91/15.66 tff(1622,plain,
% 23.91/15.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1623,plain,
% 23.91/15.66 ((v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0))) <=> ((~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1624,plain,
% 23.91/15.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0)))),
% 23.91/15.66 inference(monotonicity,[status(thm)],[1623])).
% 23.91/15.66 tff(1625,plain,
% 23.91/15.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))),
% 23.91/15.66 inference(transitivity,[status(thm)],[1624, 1622])).
% 23.91/15.66 tff(1626,plain,
% 23.91/15.66 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0)))),
% 23.91/15.66 inference(quant_inst,[status(thm)],[])).
% 23.91/15.66 tff(1627,plain,
% 23.91/15.66 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0)),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1626, 1625])).
% 23.91/15.66 tff(1628,plain,
% 23.91/15.66 ((~v127(constB3, bitIndex0)) | v26(constB3)),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1627, 1341, 1621])).
% 23.91/15.66 tff(1629,plain,
% 23.91/15.66 (~v127(constB3, bitIndex0)),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1628, 840])).
% 23.91/15.66 tff(1630,plain,
% 23.91/15.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0)))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1631,plain,
% 23.91/15.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0)))),
% 23.91/15.66 inference(quant_inst,[status(thm)],[])).
% 23.91/15.66 tff(1632,plain,
% 23.91/15.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0))),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1631, 1630])).
% 23.91/15.66 tff(1633,plain,
% 23.91/15.66 (v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0))),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1632, 1359, 1445])).
% 23.91/15.66 tff(1634,plain,
% 23.91/15.66 (~v129(constB4, bitIndex0)),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1633, 1629])).
% 23.91/15.66 tff(1635,plain,
% 23.91/15.66 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1636,plain,
% 23.91/15.66 (((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0)) <=> ((~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1637,plain,
% 23.91/15.66 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4))))),
% 23.91/15.66 inference(monotonicity,[status(thm)],[1636])).
% 23.91/15.66 tff(1638,plain,
% 23.91/15.66 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))),
% 23.91/15.66 inference(transitivity,[status(thm)],[1637, 1635])).
% 23.91/15.66 tff(1639,plain,
% 23.91/15.66 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0))),
% 23.91/15.66 inference(quant_inst,[status(thm)],[])).
% 23.91/15.66 tff(1640,plain,
% 23.91/15.66 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4))),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1639, 1638])).
% 23.91/15.66 tff(1641,plain,
% 23.91/15.66 ((~v90(constB4, bitIndex0)) | (~v100(constB4))),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1640, 1374, 1634])).
% 23.91/15.66 tff(1642,plain,
% 23.91/15.66 (~v90(constB4, bitIndex0)),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1641, 1476])).
% 23.91/15.66 tff(1643,plain,
% 23.91/15.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1644,plain,
% 23.91/15.66 (((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0))) <=> (v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1645,plain,
% 23.91/15.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0))))),
% 23.91/15.66 inference(monotonicity,[status(thm)],[1644])).
% 23.91/15.66 tff(1646,plain,
% 23.91/15.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 23.91/15.66 inference(transitivity,[status(thm)],[1645, 1643])).
% 23.91/15.66 tff(1647,plain,
% 23.91/15.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 23.91/15.66 inference(quant_inst,[status(thm)],[])).
% 23.91/15.66 tff(1648,plain,
% 23.91/15.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0))),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1647, 1646])).
% 23.91/15.66 tff(1649,plain,
% 23.91/15.66 (v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0))),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1648, 934, 1511])).
% 23.91/15.66 tff(1650,plain,
% 23.91/15.66 (v90(constB4, bitIndex0) | (~v90(constB5, bitIndex0))),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1649, 1523])).
% 23.91/15.66 tff(1651,plain,
% 23.91/15.66 (~v90(constB5, bitIndex0)),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1650, 1642])).
% 23.91/15.66 tff(1652,plain,
% 23.91/15.66 (^[VarCurr: state_type] : refl((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)))),
% 23.91/15.66 inference(bind,[status(th)],[])).
% 23.91/15.66 tff(1653,plain,
% 23.91/15.66 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 23.91/15.66 inference(quant_intro,[status(thm)],[1652])).
% 23.91/15.66 tff(1654,plain,
% 23.91/15.66 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1655,plain,
% 23.91/15.66 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)))), (((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex2))) <=> ((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex2))))), rewrite(((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex2))) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))), (((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex2))) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))))), ((((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex2))) | v125(VarCurr)) <=> ((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))) | v125(VarCurr)))), rewrite(((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))) | v125(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))), ((((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex2))) | v125(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))))),
% 23.91/15.66 inference(bind,[status(th)],[])).
% 23.91/15.66 tff(1656,plain,
% 23.91/15.66 (![VarCurr: state_type] : (((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex2))) | v125(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 23.91/15.66 inference(quant_intro,[status(thm)],[1655])).
% 23.91/15.66 tff(1657,axiom,(![VarCurr: state_type] : (((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex2))) | v125(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_1')).
% 23.91/15.66 tff(1658,plain,
% 23.91/15.66 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1657, 1656])).
% 23.91/15.66 tff(1659,plain,
% 23.91/15.66 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1658, 1654])).
% 23.91/15.66 tff(1660,plain,(
% 23.91/15.66 ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 23.91/15.66 inference(skolemize,[status(sab)],[1659])).
% 23.91/15.66 tff(1661,plain,
% 23.91/15.66 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1660, 1653])).
% 23.91/15.66 tff(1662,plain,
% 23.91/15.66 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2)) | v125(constB5))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2)) | v125(constB5))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1663,plain,
% 23.91/15.66 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2)) | v125(constB5))),
% 23.91/15.66 inference(quant_inst,[status(thm)],[])).
% 23.91/15.66 tff(1664,plain,
% 23.91/15.66 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2)) | v125(constB5)),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1663, 1662])).
% 23.91/15.66 tff(1665,plain,
% 23.91/15.66 (v125(constB5)),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1664, 1661, 1651, 1610, 1532])).
% 23.91/15.66 tff(1666,plain,
% 23.91/15.66 (^[VarCurr: state_type] : refl(((~v125(VarCurr)) | v113(VarCurr)) <=> ((~v125(VarCurr)) | v113(VarCurr)))),
% 23.91/15.66 inference(bind,[status(th)],[])).
% 23.91/15.66 tff(1667,plain,
% 23.91/15.66 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 23.91/15.66 inference(quant_intro,[status(thm)],[1666])).
% 23.91/15.66 tff(1668,plain,
% 23.91/15.66 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1669,axiom,(![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_1')).
% 23.91/15.66 tff(1670,plain,
% 23.91/15.66 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1669, 1668])).
% 23.91/15.66 tff(1671,plain,(
% 23.91/15.66 ![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 23.91/15.66 inference(skolemize,[status(sab)],[1670])).
% 23.91/15.66 tff(1672,plain,
% 23.91/15.66 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1671, 1667])).
% 23.91/15.66 tff(1673,plain,
% 23.91/15.66 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB5)) | v113(constB5))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB5)) | v113(constB5))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1674,plain,
% 23.91/15.66 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB5)) | v113(constB5))),
% 23.91/15.66 inference(quant_inst,[status(thm)],[])).
% 23.91/15.66 tff(1675,plain,
% 23.91/15.66 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB5)) | v113(constB5)),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1674, 1673])).
% 23.91/15.66 tff(1676,plain,
% 23.91/15.66 (v113(constB5)),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1675, 1672, 1665])).
% 23.91/15.66 tff(1677,plain,
% 23.91/15.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | (~v113(constB5)) | v112(constB5))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1678,plain,
% 23.91/15.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))),
% 23.91/15.66 inference(quant_inst,[status(thm)],[])).
% 23.91/15.66 tff(1679,plain,
% 23.91/15.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | (~v113(constB5)) | v112(constB5)),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1678, 1677])).
% 23.91/15.66 tff(1680,plain,
% 23.91/15.66 (v26(constB5) | v112(constB5)),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1679, 1050, 1676])).
% 23.91/15.66 tff(1681,plain,
% 23.91/15.66 (v112(constB5)),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1680, 836])).
% 23.91/15.66 tff(1682,plain,
% 23.91/15.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB5) | (~v112(constB5)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB5) | (~v112(constB5)))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1683,plain,
% 23.91/15.66 (((~v112(constB5)) | v108(constB5)) <=> (v108(constB5) | (~v112(constB5)))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1684,plain,
% 23.91/15.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB5)) | v108(constB5))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB5) | (~v112(constB5))))),
% 23.91/15.66 inference(monotonicity,[status(thm)],[1683])).
% 23.91/15.66 tff(1685,plain,
% 23.91/15.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB5)) | v108(constB5))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB5) | (~v112(constB5)))),
% 23.91/15.66 inference(transitivity,[status(thm)],[1684, 1682])).
% 23.91/15.66 tff(1686,plain,
% 23.91/15.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB5)) | v108(constB5))),
% 23.91/15.66 inference(quant_inst,[status(thm)],[])).
% 23.91/15.66 tff(1687,plain,
% 23.91/15.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB5) | (~v112(constB5))),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1686, 1685])).
% 23.91/15.66 tff(1688,plain,
% 23.91/15.66 (v108(constB5)),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1687, 1062, 1681])).
% 23.91/15.66 tff(1689,plain,
% 23.91/15.66 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1690,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_5_1')).
% 23.91/15.66 tff(1691,plain,
% 23.91/15.66 (nextState(constB5, constB6)),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1690, 1689])).
% 23.91/15.66 tff(1692,plain,
% 23.91/15.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1693,plain,
% 23.91/15.66 (((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6)) <=> ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1694,plain,
% 23.91/15.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5))))),
% 23.91/15.66 inference(monotonicity,[status(thm)],[1693])).
% 23.91/15.66 tff(1695,plain,
% 23.91/15.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 23.91/15.66 inference(transitivity,[status(thm)],[1694, 1692])).
% 23.91/15.66 tff(1696,plain,
% 23.91/15.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))),
% 23.91/15.66 inference(quant_inst,[status(thm)],[])).
% 23.91/15.66 tff(1697,plain,
% 23.91/15.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5))),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1696, 1695])).
% 23.91/15.66 tff(1698,plain,
% 23.91/15.66 (v110(constB6) | (~v108(constB5))),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1697, 1082, 1691])).
% 23.91/15.66 tff(1699,plain,
% 23.91/15.66 (v110(constB6)),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1698, 1688])).
% 23.91/15.66 tff(1700,plain,
% 23.91/15.66 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1701,plain,
% 23.91/15.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))),
% 23.91/15.66 inference(quant_inst,[status(thm)],[])).
% 23.91/15.66 tff(1702,plain,
% 23.91/15.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6))),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1701, 1700])).
% 23.91/15.66 tff(1703,plain,
% 23.91/15.66 (~v104(constB6)),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1702, 1100, 1691, 1508])).
% 23.91/15.66 tff(1704,plain,
% 23.91/15.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1705,plain,
% 23.91/15.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))),
% 23.91/15.66 inference(quant_inst,[status(thm)],[])).
% 23.91/15.66 tff(1706,plain,
% 23.91/15.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v102(constB6) | v104(constB6)),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1705, 1704])).
% 23.91/15.66 tff(1707,plain,
% 23.91/15.66 (v102(constB6) | v104(constB6)),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1706, 1114, 1691])).
% 23.91/15.66 tff(1708,plain,
% 23.91/15.66 (v102(constB6)),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1707, 1703])).
% 23.91/15.66 tff(1709,plain,
% 23.91/15.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1710,plain,
% 23.91/15.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))),
% 23.91/15.66 inference(quant_inst,[status(thm)],[])).
% 23.91/15.66 tff(1711,plain,
% 23.91/15.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6))),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1710, 1709])).
% 23.91/15.66 tff(1712,plain,
% 23.91/15.66 (v101(constB6) | (~v102(constB6))),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1711, 1129, 1691, 339])).
% 23.91/15.66 tff(1713,plain,
% 23.91/15.66 (v101(constB6)),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1712, 1708])).
% 23.91/15.66 tff(1714,plain,
% 23.91/15.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1715,plain,
% 23.91/15.66 (((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6)) <=> ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1716,plain,
% 23.91/15.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6))))),
% 23.91/15.66 inference(monotonicity,[status(thm)],[1715])).
% 23.91/15.66 tff(1717,plain,
% 23.91/15.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 23.91/15.66 inference(transitivity,[status(thm)],[1716, 1714])).
% 23.91/15.66 tff(1718,plain,
% 23.91/15.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))),
% 23.91/15.66 inference(quant_inst,[status(thm)],[])).
% 23.91/15.66 tff(1719,plain,
% 23.91/15.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1718, 1717])).
% 23.91/15.66 tff(1720,plain,
% 23.91/15.66 (v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1719, 1144, 1691])).
% 23.91/15.66 tff(1721,plain,
% 23.91/15.66 (v100(constB6) | (~v110(constB6))),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1720, 1713])).
% 23.91/15.66 tff(1722,plain,
% 23.91/15.66 (v100(constB6)),
% 23.91/15.66 inference(unit_resolution,[status(thm)],[1721, 1699])).
% 23.91/15.66 tff(1723,plain,
% 23.91/15.66 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2))))),
% 23.91/15.66 inference(bind,[status(th)],[])).
% 23.91/15.66 tff(1724,plain,
% 23.91/15.66 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 23.91/15.66 inference(quant_intro,[status(thm)],[1723])).
% 23.91/15.66 tff(1725,plain,
% 23.91/15.66 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1726,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_3')).
% 23.91/15.66 tff(1727,plain,
% 23.91/15.66 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1726, 1725])).
% 23.91/15.66 tff(1728,plain,(
% 23.91/15.66 ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 23.91/15.66 inference(skolemize,[status(sab)],[1727])).
% 23.91/15.66 tff(1729,plain,
% 23.91/15.66 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1728, 1724])).
% 23.91/15.66 tff(1730,plain,
% 23.91/15.66 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB5)) | (~v90(constB5, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB5)) | (~v90(constB5, bitIndex2)))),
% 23.91/15.66 inference(rewrite,[status(thm)],[])).
% 23.91/15.66 tff(1731,plain,
% 23.91/15.66 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB5)) | (~v90(constB5, bitIndex2)))),
% 23.91/15.66 inference(quant_inst,[status(thm)],[])).
% 23.91/15.66 tff(1732,plain,
% 23.91/15.66 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB5)) | (~v90(constB5, bitIndex2))),
% 23.91/15.66 inference(modus_ponens,[status(thm)],[1731, 1730])).
% 23.91/15.66 tff(1733,plain,
% 23.91/15.67 (~v121(constB5)),
% 23.91/15.67 inference(unit_resolution,[status(thm)],[1732, 1729, 1532])).
% 23.91/15.67 tff(1734,plain,
% 23.91/15.67 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2))))),
% 23.91/15.67 inference(bind,[status(th)],[])).
% 23.91/15.67 tff(1735,plain,
% 23.91/15.67 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 23.91/15.67 inference(quant_intro,[status(thm)],[1734])).
% 23.91/15.67 tff(1736,plain,
% 23.91/15.67 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1737,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_4')).
% 23.91/15.67 tff(1738,plain,
% 23.91/15.67 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1737, 1736])).
% 23.91/15.67 tff(1739,plain,(
% 23.91/15.67 ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 23.91/15.67 inference(skolemize,[status(sab)],[1738])).
% 23.91/15.67 tff(1740,plain,
% 23.91/15.67 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1739, 1735])).
% 23.91/15.67 tff(1741,plain,
% 23.91/15.67 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB5)) | (~v90(constB5, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB5)) | (~v90(constB5, bitIndex2)))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1742,plain,
% 23.91/15.67 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB5)) | (~v90(constB5, bitIndex2)))),
% 23.91/15.67 inference(quant_inst,[status(thm)],[])).
% 23.91/15.67 tff(1743,plain,
% 23.91/15.67 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB5)) | (~v90(constB5, bitIndex2))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1742, 1741])).
% 23.91/15.67 tff(1744,plain,
% 23.91/15.67 (~v122(constB5)),
% 23.91/15.67 inference(unit_resolution,[status(thm)],[1743, 1740, 1532])).
% 23.91/15.67 tff(1745,plain,
% 23.91/15.67 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))))),
% 23.91/15.67 inference(bind,[status(th)],[])).
% 23.91/15.67 tff(1746,plain,
% 23.91/15.67 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(quant_intro,[status(thm)],[1745])).
% 23.91/15.67 tff(1747,plain,
% 23.91/15.67 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1748,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_3')).
% 23.91/15.67 tff(1749,plain,
% 23.91/15.67 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1748, 1747])).
% 23.91/15.67 tff(1750,plain,(
% 23.91/15.67 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(skolemize,[status(sab)],[1749])).
% 23.91/15.67 tff(1751,plain,
% 23.91/15.67 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1750, 1746])).
% 23.91/15.67 tff(1752,plain,
% 23.91/15.67 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB5)) | (~v90(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB5)) | (~v90(constB5, bitIndex1)))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1753,plain,
% 23.91/15.67 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB5)) | (~v90(constB5, bitIndex1)))),
% 23.91/15.67 inference(quant_inst,[status(thm)],[])).
% 23.91/15.67 tff(1754,plain,
% 23.91/15.67 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB5)) | (~v90(constB5, bitIndex1))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1753, 1752])).
% 23.91/15.67 tff(1755,plain,
% 23.91/15.67 (~v119(constB5)),
% 23.91/15.67 inference(unit_resolution,[status(thm)],[1754, 1751, 1610])).
% 23.91/15.67 tff(1756,plain,
% 23.91/15.67 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1))))),
% 23.91/15.67 inference(bind,[status(th)],[])).
% 23.91/15.67 tff(1757,plain,
% 23.91/15.67 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(quant_intro,[status(thm)],[1756])).
% 23.91/15.67 tff(1758,plain,
% 23.91/15.67 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1759,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_4')).
% 23.91/15.67 tff(1760,plain,
% 23.91/15.67 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1759, 1758])).
% 23.91/15.67 tff(1761,plain,(
% 23.91/15.67 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(skolemize,[status(sab)],[1760])).
% 23.91/15.67 tff(1762,plain,
% 23.91/15.67 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1761, 1757])).
% 23.91/15.67 tff(1763,plain,
% 23.91/15.67 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB5)) | (~v90(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB5)) | (~v90(constB5, bitIndex1)))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1764,plain,
% 23.91/15.67 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB5)) | (~v90(constB5, bitIndex1)))),
% 23.91/15.67 inference(quant_inst,[status(thm)],[])).
% 23.91/15.67 tff(1765,plain,
% 23.91/15.67 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB5)) | (~v90(constB5, bitIndex1))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1764, 1763])).
% 23.91/15.67 tff(1766,plain,
% 23.91/15.67 (~v120(constB5)),
% 23.91/15.67 inference(unit_resolution,[status(thm)],[1765, 1762, 1610])).
% 23.91/15.67 tff(1767,plain,
% 23.91/15.67 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1))))),
% 23.91/15.67 inference(bind,[status(th)],[])).
% 23.91/15.67 tff(1768,plain,
% 23.91/15.67 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(quant_intro,[status(thm)],[1767])).
% 23.91/15.67 tff(1769,plain,
% 23.91/15.67 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1770,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_3')).
% 23.91/15.67 tff(1771,plain,
% 23.91/15.67 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1770, 1769])).
% 23.91/15.67 tff(1772,plain,(
% 23.91/15.67 ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(skolemize,[status(sab)],[1771])).
% 23.91/15.67 tff(1773,plain,
% 23.91/15.67 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1772, 1768])).
% 23.91/15.67 tff(1774,plain,
% 23.91/15.67 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB5)) | (~v90(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB5)) | (~v90(constB5, bitIndex1)))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1775,plain,
% 23.91/15.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB5)) | (~v90(constB5, bitIndex1)))),
% 23.91/15.67 inference(quant_inst,[status(thm)],[])).
% 23.91/15.67 tff(1776,plain,
% 23.91/15.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB5)) | (~v90(constB5, bitIndex1))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1775, 1774])).
% 23.91/15.67 tff(1777,plain,
% 23.91/15.67 (~v123(constB5)),
% 23.91/15.67 inference(unit_resolution,[status(thm)],[1776, 1773, 1610])).
% 23.91/15.67 tff(1778,plain,
% 23.91/15.67 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1))))),
% 23.91/15.67 inference(bind,[status(th)],[])).
% 23.91/15.67 tff(1779,plain,
% 23.91/15.67 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(quant_intro,[status(thm)],[1778])).
% 23.91/15.67 tff(1780,plain,
% 23.91/15.67 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1781,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_4')).
% 23.91/15.67 tff(1782,plain,
% 23.91/15.67 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1781, 1780])).
% 23.91/15.67 tff(1783,plain,(
% 23.91/15.67 ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(skolemize,[status(sab)],[1782])).
% 23.91/15.67 tff(1784,plain,
% 23.91/15.67 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1783, 1779])).
% 23.91/15.67 tff(1785,plain,
% 23.91/15.67 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB5)) | (~v90(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB5)) | (~v90(constB5, bitIndex1)))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1786,plain,
% 23.91/15.67 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB5)) | (~v90(constB5, bitIndex1)))),
% 23.91/15.67 inference(quant_inst,[status(thm)],[])).
% 23.91/15.67 tff(1787,plain,
% 23.91/15.67 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB5)) | (~v90(constB5, bitIndex1))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1786, 1785])).
% 23.91/15.67 tff(1788,plain,
% 23.91/15.67 (~v124(constB5)),
% 23.91/15.67 inference(unit_resolution,[status(thm)],[1787, 1784, 1610])).
% 23.91/15.67 tff(1789,plain,
% 23.91/15.67 (^[VarCurr: state_type] : refl((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))))),
% 23.91/15.67 inference(bind,[status(th)],[])).
% 23.91/15.67 tff(1790,plain,
% 23.91/15.67 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 23.91/15.67 inference(quant_intro,[status(thm)],[1789])).
% 23.91/15.67 tff(1791,plain,
% 23.91/15.67 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1792,plain,
% 23.91/15.67 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, bitIndex2))))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))))),
% 23.91/15.67 inference(bind,[status(th)],[])).
% 23.91/15.67 tff(1793,plain,
% 23.91/15.67 (![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 23.91/15.67 inference(quant_intro,[status(thm)],[1792])).
% 23.91/15.67 tff(1794,axiom,(![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_3')).
% 23.91/15.67 tff(1795,plain,
% 23.91/15.67 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1794, 1793])).
% 23.91/15.67 tff(1796,plain,
% 23.91/15.67 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1795, 1791])).
% 23.91/15.67 tff(1797,plain,(
% 23.91/15.67 ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 23.91/15.67 inference(skolemize,[status(sab)],[1796])).
% 23.91/15.67 tff(1798,plain,
% 23.91/15.67 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1797, 1790])).
% 23.91/15.67 tff(1799,plain,
% 23.91/15.67 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex2)))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1800,plain,
% 23.91/15.67 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex2)))),
% 23.91/15.67 inference(quant_inst,[status(thm)],[])).
% 23.91/15.67 tff(1801,plain,
% 23.91/15.67 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex2))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1800, 1799])).
% 23.91/15.67 tff(1802,plain,
% 23.91/15.67 (~v130(constB5, bitIndex2)),
% 23.91/15.67 inference(unit_resolution,[status(thm)],[1801, 1798, 1788, 1777, 1766, 1755, 1744, 1733])).
% 23.91/15.67 tff(1803,plain,
% 23.91/15.67 (^[VarCurr: state_type] : refl((v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))))),
% 23.91/15.67 inference(bind,[status(th)],[])).
% 23.91/15.67 tff(1804,plain,
% 23.91/15.67 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 23.91/15.67 inference(quant_intro,[status(thm)],[1803])).
% 23.91/15.67 tff(1805,plain,
% 23.91/15.67 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1806,plain,
% 23.91/15.67 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v127(VarCurr, bitIndex2))) | v130(VarCurr, bitIndex2)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))))),
% 23.91/15.67 inference(bind,[status(th)],[])).
% 23.91/15.67 tff(1807,plain,
% 23.91/15.67 (![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, bitIndex2))) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 23.91/15.67 inference(quant_intro,[status(thm)],[1806])).
% 23.91/15.67 tff(1808,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, bitIndex2))) | v130(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_6')).
% 23.91/15.67 tff(1809,plain,
% 23.91/15.67 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1808, 1807])).
% 23.91/15.67 tff(1810,plain,
% 23.91/15.67 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1809, 1805])).
% 23.91/15.67 tff(1811,plain,(
% 23.91/15.67 ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 23.91/15.67 inference(skolemize,[status(sab)],[1810])).
% 23.91/15.67 tff(1812,plain,
% 23.91/15.67 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1811, 1804])).
% 23.91/15.67 tff(1813,plain,
% 23.91/15.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1814,plain,
% 23.91/15.67 ((v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2))) <=> ((~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1815,plain,
% 23.91/15.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2)))),
% 23.91/15.67 inference(monotonicity,[status(thm)],[1814])).
% 23.91/15.67 tff(1816,plain,
% 23.91/15.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))),
% 23.91/15.67 inference(transitivity,[status(thm)],[1815, 1813])).
% 23.91/15.67 tff(1817,plain,
% 23.91/15.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2)))),
% 23.91/15.67 inference(quant_inst,[status(thm)],[])).
% 23.91/15.67 tff(1818,plain,
% 23.91/15.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2)),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1817, 1816])).
% 23.91/15.67 tff(1819,plain,
% 23.91/15.67 ((~v127(constB5, bitIndex2)) | v26(constB5)),
% 23.91/15.67 inference(unit_resolution,[status(thm)],[1818, 1812, 1802])).
% 23.91/15.67 tff(1820,plain,
% 23.91/15.67 (~v127(constB5, bitIndex2)),
% 23.91/15.67 inference(unit_resolution,[status(thm)],[1819, 836])).
% 23.91/15.67 tff(1821,plain,
% 23.91/15.67 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))))),
% 23.91/15.67 inference(bind,[status(th)],[])).
% 23.91/15.67 tff(1822,plain,
% 23.91/15.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 23.91/15.67 inference(quant_intro,[status(thm)],[1821])).
% 23.91/15.67 tff(1823,plain,
% 23.91/15.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1824,plain,
% 23.91/15.67 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex2))) | v127(VarCurr, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))))),
% 23.91/15.67 inference(bind,[status(th)],[])).
% 23.91/15.67 tff(1825,plain,
% 23.91/15.67 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex2))) | v127(VarCurr, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 23.91/15.67 inference(quant_intro,[status(thm)],[1824])).
% 23.91/15.67 tff(1826,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex2))) | v127(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_6')).
% 23.91/15.67 tff(1827,plain,
% 23.91/15.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1826, 1825])).
% 23.91/15.67 tff(1828,plain,
% 23.91/15.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1827, 1823])).
% 23.91/15.67 tff(1829,plain,(
% 23.91/15.67 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 23.91/15.67 inference(skolemize,[status(sab)],[1828])).
% 23.91/15.67 tff(1830,plain,
% 23.91/15.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1829, 1822])).
% 23.91/15.67 tff(1831,plain,
% 23.91/15.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2)))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1832,plain,
% 23.91/15.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2)))),
% 23.91/15.67 inference(quant_inst,[status(thm)],[])).
% 23.91/15.67 tff(1833,plain,
% 23.91/15.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1832, 1831])).
% 23.91/15.67 tff(1834,plain,
% 23.91/15.67 (v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2))),
% 23.91/15.67 inference(unit_resolution,[status(thm)],[1833, 1830, 1691])).
% 23.91/15.67 tff(1835,plain,
% 23.91/15.67 (~v129(constB6, bitIndex2)),
% 23.91/15.67 inference(unit_resolution,[status(thm)],[1834, 1820])).
% 23.91/15.67 tff(1836,plain,
% 23.91/15.67 (^[VarNext: state_type] : refl(((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext))))),
% 23.91/15.67 inference(bind,[status(th)],[])).
% 23.91/15.67 tff(1837,plain,
% 23.91/15.67 (![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext))) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))),
% 23.91/15.67 inference(quant_intro,[status(thm)],[1836])).
% 23.91/15.67 tff(1838,plain,
% 23.91/15.67 (![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext))) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1839,plain,
% 23.91/15.67 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v90(VarNext, bitIndex2))) | v129(VarNext, bitIndex2)) <=> ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext))))),
% 23.91/15.67 inference(bind,[status(th)],[])).
% 23.91/15.67 tff(1840,plain,
% 23.91/15.67 (![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, bitIndex2))) | v129(VarNext, bitIndex2)) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))),
% 23.91/15.67 inference(quant_intro,[status(thm)],[1839])).
% 23.91/15.67 tff(1841,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, bitIndex2))) | v129(VarNext, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_6')).
% 23.91/15.67 tff(1842,plain,
% 23.91/15.67 (![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1841, 1840])).
% 23.91/15.67 tff(1843,plain,
% 23.91/15.67 (![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1842, 1838])).
% 23.91/15.67 tff(1844,plain,(
% 23.91/15.67 ![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))),
% 23.91/15.67 inference(skolemize,[status(sab)],[1843])).
% 23.91/15.67 tff(1845,plain,
% 23.91/15.67 (![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1844, 1837])).
% 23.91/15.67 tff(1846,plain,
% 23.91/15.67 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1847,plain,
% 23.91/15.67 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))),
% 23.91/15.67 inference(quant_inst,[status(thm)],[])).
% 23.91/15.67 tff(1848,plain,
% 23.91/15.67 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1847, 1846])).
% 23.91/15.67 tff(1849,plain,
% 23.91/15.67 ((~v90(constB6, bitIndex2)) | (~v100(constB6))),
% 23.91/15.67 inference(unit_resolution,[status(thm)],[1848, 1845, 1835])).
% 23.91/15.67 tff(1850,plain,
% 23.91/15.67 (~v90(constB6, bitIndex2)),
% 23.91/15.67 inference(unit_resolution,[status(thm)],[1849, 1722])).
% 23.91/15.67 tff(1851,plain,
% 23.91/15.67 ((~v1(constB7)) <=> (~v1(constB7))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1852,axiom,(~v1(constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_7_1_1')).
% 23.91/15.67 tff(1853,plain,
% 23.91/15.67 (~v1(constB7)),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1852, 1851])).
% 23.91/15.67 tff(1854,plain,
% 23.91/15.67 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1855,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_6_1')).
% 23.91/15.67 tff(1856,plain,
% 23.91/15.67 (nextState(constB6, constB7)),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1855, 1854])).
% 23.91/15.67 tff(1857,plain,
% 23.91/15.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1858,plain,
% 23.91/15.67 (((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7)) <=> (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1859,plain,
% 23.91/15.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7))))),
% 23.91/15.67 inference(monotonicity,[status(thm)],[1858])).
% 23.91/15.67 tff(1860,plain,
% 23.91/15.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 23.91/15.67 inference(transitivity,[status(thm)],[1859, 1857])).
% 23.91/15.67 tff(1861,plain,
% 23.91/15.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))),
% 23.91/15.67 inference(quant_inst,[status(thm)],[])).
% 23.91/15.67 tff(1862,plain,
% 23.91/15.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1861, 1860])).
% 23.91/15.67 tff(1863,plain,
% 23.91/15.67 (~v101(constB7)),
% 23.91/15.67 inference(unit_resolution,[status(thm)],[1862, 860, 1856, 1853])).
% 23.91/15.67 tff(1864,plain,
% 23.91/15.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1865,plain,
% 23.91/15.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))),
% 23.91/15.67 inference(quant_inst,[status(thm)],[])).
% 23.91/15.67 tff(1866,plain,
% 23.91/15.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1865, 1864])).
% 23.91/15.67 tff(1867,plain,
% 23.91/15.67 (v101(constB7) | (~v100(constB7))),
% 23.91/15.67 inference(unit_resolution,[status(thm)],[1866, 877, 1856])).
% 23.91/15.67 tff(1868,plain,
% 23.91/15.67 (~v100(constB7)),
% 23.91/15.67 inference(unit_resolution,[status(thm)],[1867, 1863])).
% 23.91/15.67 tff(1869,plain,
% 23.91/15.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1870,plain,
% 23.91/15.67 (((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2))) <=> (v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1871,plain,
% 23.91/15.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2))))),
% 23.91/15.67 inference(monotonicity,[status(thm)],[1870])).
% 23.91/15.67 tff(1872,plain,
% 23.91/15.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 23.91/15.67 inference(transitivity,[status(thm)],[1871, 1869])).
% 23.91/15.67 tff(1873,plain,
% 23.91/15.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 23.91/15.67 inference(quant_inst,[status(thm)],[])).
% 23.91/15.67 tff(1874,plain,
% 23.91/15.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1873, 1872])).
% 23.91/15.67 tff(1875,plain,
% 23.91/15.67 (v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2))),
% 23.91/15.67 inference(unit_resolution,[status(thm)],[1874, 892, 1856])).
% 23.91/15.67 tff(1876,plain,
% 23.91/15.67 (v90(constB6, bitIndex2) | (~v90(constB7, bitIndex2))),
% 23.91/15.67 inference(unit_resolution,[status(thm)],[1875, 1868])).
% 23.91/15.67 tff(1877,plain,
% 23.91/15.67 (~v90(constB7, bitIndex2)),
% 23.91/15.67 inference(unit_resolution,[status(thm)],[1876, 1850])).
% 23.91/15.67 tff(1878,plain,
% 23.91/15.67 (^[VarCurr: state_type] : refl((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))))),
% 23.91/15.67 inference(bind,[status(th)],[])).
% 23.91/15.67 tff(1879,plain,
% 23.91/15.67 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(quant_intro,[status(thm)],[1878])).
% 23.91/15.67 tff(1880,plain,
% 23.91/15.67 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1881,plain,
% 23.91/15.67 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, bitIndex1))))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))))),
% 23.91/15.67 inference(bind,[status(th)],[])).
% 23.91/15.67 tff(1882,plain,
% 23.91/15.67 (![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(quant_intro,[status(thm)],[1881])).
% 23.91/15.67 tff(1883,axiom,(![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_2')).
% 23.91/15.67 tff(1884,plain,
% 23.91/15.67 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1883, 1882])).
% 23.91/15.67 tff(1885,plain,
% 23.91/15.67 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1884, 1880])).
% 23.91/15.67 tff(1886,plain,(
% 23.91/15.67 ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(skolemize,[status(sab)],[1885])).
% 23.91/15.67 tff(1887,plain,
% 23.91/15.67 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1886, 1879])).
% 23.91/15.67 tff(1888,plain,
% 23.91/15.67 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex1)))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1889,plain,
% 23.91/15.67 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex1)))),
% 23.91/15.67 inference(quant_inst,[status(thm)],[])).
% 23.91/15.67 tff(1890,plain,
% 23.91/15.67 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex1))),
% 23.91/15.67 inference(modus_ponens,[status(thm)],[1889, 1888])).
% 23.91/15.67 tff(1891,plain,
% 23.91/15.67 (~v130(constB5, bitIndex1)),
% 23.91/15.67 inference(unit_resolution,[status(thm)],[1890, 1887, 1788, 1777, 1766, 1755, 1744, 1733])).
% 23.91/15.67 tff(1892,plain,
% 23.91/15.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1893,plain,
% 23.91/15.67 ((v26(constB5) | v130(constB5, bitIndex1) | (~v127(constB5, bitIndex1))) <=> ((~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1))),
% 23.91/15.67 inference(rewrite,[status(thm)],[])).
% 23.91/15.67 tff(1894,plain,
% 23.91/15.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB5) | v130(constB5, bitIndex1) | (~v127(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1)))),
% 23.91/15.67 inference(monotonicity,[status(thm)],[1893])).
% 23.91/15.67 tff(1895,plain,
% 23.91/15.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB5) | v130(constB5, bitIndex1) | (~v127(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1))),
% 23.91/15.67 inference(transitivity,[status(thm)],[1894, 1892])).
% 23.91/15.67 tff(1896,plain,
% 23.91/15.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB5) | v130(constB5, bitIndex1) | (~v127(constB5, bitIndex1)))),
% 23.91/15.68 inference(quant_inst,[status(thm)],[])).
% 23.91/15.68 tff(1897,plain,
% 23.91/15.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1)),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[1896, 1895])).
% 23.91/15.68 tff(1898,plain,
% 23.91/15.68 ((~v127(constB5, bitIndex1)) | v26(constB5)),
% 23.91/15.68 inference(unit_resolution,[status(thm)],[1897, 1270, 1891])).
% 23.91/15.68 tff(1899,plain,
% 23.91/15.68 (~v127(constB5, bitIndex1)),
% 23.91/15.68 inference(unit_resolution,[status(thm)],[1898, 836])).
% 23.91/15.68 tff(1900,plain,
% 23.91/15.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1)))),
% 23.91/15.68 inference(rewrite,[status(thm)],[])).
% 23.91/15.68 tff(1901,plain,
% 23.91/15.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1)))),
% 23.91/15.68 inference(quant_inst,[status(thm)],[])).
% 23.91/15.68 tff(1902,plain,
% 23.91/15.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1))),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[1901, 1900])).
% 23.91/15.68 tff(1903,plain,
% 23.91/15.68 (v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1))),
% 23.91/15.68 inference(unit_resolution,[status(thm)],[1902, 1288, 1691])).
% 23.91/15.68 tff(1904,plain,
% 23.91/15.68 (~v129(constB6, bitIndex1)),
% 23.91/15.68 inference(unit_resolution,[status(thm)],[1903, 1899])).
% 23.91/15.68 tff(1905,plain,
% 23.91/15.68 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6)))),
% 23.91/15.68 inference(rewrite,[status(thm)],[])).
% 23.91/15.68 tff(1906,plain,
% 23.91/15.68 (((~v90(constB6, bitIndex1)) | (~v100(constB6)) | v129(constB6, bitIndex1)) <=> ((~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6)))),
% 23.91/15.68 inference(rewrite,[status(thm)],[])).
% 23.91/15.68 tff(1907,plain,
% 23.91/15.68 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | (~v100(constB6)) | v129(constB6, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6))))),
% 23.91/15.68 inference(monotonicity,[status(thm)],[1906])).
% 23.91/15.68 tff(1908,plain,
% 23.91/15.68 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | (~v100(constB6)) | v129(constB6, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6)))),
% 23.91/15.68 inference(transitivity,[status(thm)],[1907, 1905])).
% 23.91/15.68 tff(1909,plain,
% 23.91/15.68 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | (~v100(constB6)) | v129(constB6, bitIndex1))),
% 23.91/15.68 inference(quant_inst,[status(thm)],[])).
% 23.91/15.68 tff(1910,plain,
% 23.91/15.68 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6))),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[1909, 1908])).
% 23.91/15.68 tff(1911,plain,
% 23.91/15.68 ((~v90(constB6, bitIndex1)) | (~v100(constB6))),
% 23.91/15.68 inference(unit_resolution,[status(thm)],[1910, 1303, 1904])).
% 23.91/15.68 tff(1912,plain,
% 23.91/15.68 (~v90(constB6, bitIndex1)),
% 23.91/15.68 inference(unit_resolution,[status(thm)],[1911, 1722])).
% 23.91/15.68 tff(1913,plain,
% 23.91/15.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1)))),
% 23.91/15.68 inference(rewrite,[status(thm)],[])).
% 23.91/15.68 tff(1914,plain,
% 23.91/15.68 (((~nextState(constB6, constB7)) | v90(constB6, bitIndex1) | v100(constB7) | (~v90(constB7, bitIndex1))) <=> (v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1)))),
% 23.91/15.68 inference(rewrite,[status(thm)],[])).
% 23.91/15.68 tff(1915,plain,
% 23.91/15.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex1) | v100(constB7) | (~v90(constB7, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1))))),
% 23.91/15.68 inference(monotonicity,[status(thm)],[1914])).
% 23.91/15.68 tff(1916,plain,
% 23.91/15.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex1) | v100(constB7) | (~v90(constB7, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1)))),
% 23.91/15.68 inference(transitivity,[status(thm)],[1915, 1913])).
% 23.91/15.68 tff(1917,plain,
% 23.91/15.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex1) | v100(constB7) | (~v90(constB7, bitIndex1)))),
% 23.91/15.68 inference(quant_inst,[status(thm)],[])).
% 23.91/15.68 tff(1918,plain,
% 23.91/15.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1))),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[1917, 1916])).
% 23.91/15.68 tff(1919,plain,
% 23.91/15.68 (v90(constB6, bitIndex1) | v100(constB7) | (~v90(constB7, bitIndex1))),
% 23.91/15.68 inference(unit_resolution,[status(thm)],[1918, 913, 1856])).
% 23.91/15.68 tff(1920,plain,
% 23.91/15.68 (v90(constB6, bitIndex1) | (~v90(constB7, bitIndex1))),
% 23.91/15.68 inference(unit_resolution,[status(thm)],[1919, 1868])).
% 23.91/15.68 tff(1921,plain,
% 23.91/15.68 (~v90(constB7, bitIndex1)),
% 23.91/15.68 inference(unit_resolution,[status(thm)],[1920, 1912])).
% 23.91/15.68 tff(1922,plain,
% 23.91/15.68 (^[VarCurr: state_type] : refl((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)))),
% 23.91/15.68 inference(bind,[status(th)],[])).
% 23.91/15.68 tff(1923,plain,
% 23.91/15.68 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 23.91/15.68 inference(quant_intro,[status(thm)],[1922])).
% 23.91/15.68 tff(1924,plain,
% 23.91/15.68 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 23.91/15.68 inference(rewrite,[status(thm)],[])).
% 23.91/15.68 tff(1925,plain,
% 23.91/15.68 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | v130(VarCurr, bitIndex0)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | v130(VarCurr, bitIndex0)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, bitIndex0)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))))),
% 23.91/15.68 inference(bind,[status(th)],[])).
% 23.91/15.68 tff(1926,plain,
% 23.91/15.68 (![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 23.91/15.68 inference(quant_intro,[status(thm)],[1925])).
% 23.91/15.68 tff(1927,axiom,(![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1')).
% 23.91/15.68 tff(1928,plain,
% 23.91/15.68 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[1927, 1926])).
% 23.91/15.68 tff(1929,plain,
% 23.91/15.68 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[1928, 1924])).
% 23.91/15.68 tff(1930,plain,(
% 23.91/15.68 ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 23.91/15.68 inference(skolemize,[status(sab)],[1929])).
% 23.91/15.68 tff(1931,plain,
% 23.91/15.68 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[1930, 1923])).
% 23.91/15.68 tff(1932,plain,
% 23.91/15.68 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | v130(constB5, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | v130(constB5, bitIndex0))),
% 23.91/15.68 inference(rewrite,[status(thm)],[])).
% 23.91/15.68 tff(1933,plain,
% 23.91/15.68 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | v130(constB5, bitIndex0))),
% 23.91/15.68 inference(quant_inst,[status(thm)],[])).
% 23.91/15.68 tff(1934,plain,
% 23.91/15.68 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | v130(constB5, bitIndex0)),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[1933, 1932])).
% 23.91/15.68 tff(1935,plain,
% 23.91/15.68 (v130(constB5, bitIndex0)),
% 23.91/15.68 inference(unit_resolution,[status(thm)],[1934, 1931, 1788, 1777, 1766, 1755, 1744, 1733])).
% 23.91/15.68 tff(1936,plain,
% 23.91/15.68 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)))),
% 23.91/15.68 inference(bind,[status(th)],[])).
% 23.91/15.68 tff(1937,plain,
% 23.91/15.68 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 23.91/15.68 inference(quant_intro,[status(thm)],[1936])).
% 23.91/15.68 tff(1938,plain,
% 23.91/15.68 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 23.91/15.68 inference(rewrite,[status(thm)],[])).
% 23.91/15.68 tff(1939,plain,
% 23.91/15.68 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v130(VarCurr, bitIndex0))) | v127(VarCurr, bitIndex0)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)))),
% 23.91/15.68 inference(bind,[status(th)],[])).
% 23.91/15.68 tff(1940,plain,
% 23.91/15.68 (![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, bitIndex0))) | v127(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 23.91/15.68 inference(quant_intro,[status(thm)],[1939])).
% 23.91/15.68 tff(1941,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, bitIndex0))) | v127(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_1')).
% 23.91/15.68 tff(1942,plain,
% 23.91/15.68 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[1941, 1940])).
% 23.91/15.68 tff(1943,plain,
% 23.91/15.68 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[1942, 1938])).
% 23.91/15.68 tff(1944,plain,(
% 23.91/15.68 ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 23.91/15.68 inference(skolemize,[status(sab)],[1943])).
% 23.91/15.68 tff(1945,plain,
% 23.91/15.68 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[1944, 1937])).
% 23.91/15.68 tff(1946,plain,
% 23.91/15.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0))),
% 23.91/15.68 inference(rewrite,[status(thm)],[])).
% 23.91/15.68 tff(1947,plain,
% 23.91/15.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0))),
% 23.91/15.68 inference(quant_inst,[status(thm)],[])).
% 23.91/15.68 tff(1948,plain,
% 23.91/15.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0)),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[1947, 1946])).
% 23.91/15.68 tff(1949,plain,
% 23.91/15.68 (v26(constB5) | v127(constB5, bitIndex0)),
% 23.91/15.68 inference(unit_resolution,[status(thm)],[1948, 1945, 1935])).
% 23.91/15.68 tff(1950,plain,
% 23.91/15.68 (v127(constB5, bitIndex0)),
% 23.91/15.68 inference(unit_resolution,[status(thm)],[1949, 836])).
% 23.91/15.68 tff(1951,plain,
% 23.91/15.68 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)))),
% 23.91/15.68 inference(bind,[status(th)],[])).
% 23.91/15.68 tff(1952,plain,
% 23.91/15.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 23.91/15.68 inference(quant_intro,[status(thm)],[1951])).
% 23.91/15.68 tff(1953,plain,
% 23.91/15.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 23.91/15.68 inference(rewrite,[status(thm)],[])).
% 23.91/15.68 tff(1954,plain,
% 23.91/15.68 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0))) | v129(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)))),
% 23.91/15.68 inference(bind,[status(th)],[])).
% 23.91/15.68 tff(1955,plain,
% 23.91/15.68 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0))) | v129(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 23.91/15.68 inference(quant_intro,[status(thm)],[1954])).
% 23.91/15.68 tff(1956,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0))) | v129(VarNext, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_1')).
% 23.91/15.68 tff(1957,plain,
% 23.91/15.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[1956, 1955])).
% 23.91/15.68 tff(1958,plain,
% 23.91/15.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[1957, 1953])).
% 23.91/15.68 tff(1959,plain,(
% 23.91/15.68 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 23.91/15.68 inference(skolemize,[status(sab)],[1958])).
% 23.91/15.68 tff(1960,plain,
% 23.91/15.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[1959, 1952])).
% 23.91/15.68 tff(1961,plain,
% 23.91/15.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0))),
% 23.91/15.68 inference(rewrite,[status(thm)],[])).
% 23.91/15.68 tff(1962,plain,
% 23.91/15.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0))),
% 23.91/15.68 inference(quant_inst,[status(thm)],[])).
% 23.91/15.68 tff(1963,plain,
% 23.91/15.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0)),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[1962, 1961])).
% 23.91/15.68 tff(1964,plain,
% 23.91/15.68 ((~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0)),
% 23.91/15.68 inference(unit_resolution,[status(thm)],[1963, 1960, 1691])).
% 23.91/15.68 tff(1965,plain,
% 23.91/15.68 (v129(constB6, bitIndex0)),
% 23.91/15.68 inference(unit_resolution,[status(thm)],[1964, 1950])).
% 23.91/15.68 tff(1966,plain,
% 23.91/15.68 (^[VarNext: state_type] : refl((v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))))),
% 23.91/15.68 inference(bind,[status(th)],[])).
% 23.91/15.68 tff(1967,plain,
% 23.91/15.68 (![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 23.91/15.68 inference(quant_intro,[status(thm)],[1966])).
% 23.91/15.68 tff(1968,plain,
% 23.91/15.68 (![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 23.91/15.68 inference(rewrite,[status(thm)],[])).
% 23.91/15.68 tff(1969,plain,
% 23.91/15.68 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v129(VarNext, bitIndex0))) | v90(VarNext, bitIndex0)) <=> (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))))),
% 23.91/15.68 inference(bind,[status(th)],[])).
% 23.91/15.68 tff(1970,plain,
% 23.91/15.68 (![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, bitIndex0))) | v90(VarNext, bitIndex0)) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 23.91/15.68 inference(quant_intro,[status(thm)],[1969])).
% 23.91/15.68 tff(1971,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, bitIndex0))) | v90(VarNext, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_1')).
% 23.91/15.68 tff(1972,plain,
% 23.91/15.68 (![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[1971, 1970])).
% 23.91/15.68 tff(1973,plain,
% 23.91/15.68 (![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[1972, 1968])).
% 23.91/15.68 tff(1974,plain,(
% 23.91/15.68 ![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 23.91/15.68 inference(skolemize,[status(sab)],[1973])).
% 23.91/15.68 tff(1975,plain,
% 23.91/15.68 (![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[1974, 1967])).
% 23.91/15.68 tff(1976,plain,
% 23.91/15.68 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))),
% 23.91/15.68 inference(rewrite,[status(thm)],[])).
% 23.91/15.68 tff(1977,plain,
% 23.91/15.68 ((v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0))) <=> (v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))),
% 23.91/15.68 inference(rewrite,[status(thm)],[])).
% 23.91/15.68 tff(1978,plain,
% 23.91/15.68 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6))))),
% 23.91/15.68 inference(monotonicity,[status(thm)],[1977])).
% 23.91/15.68 tff(1979,plain,
% 23.91/15.68 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))),
% 23.91/15.68 inference(transitivity,[status(thm)],[1978, 1976])).
% 23.91/15.68 tff(1980,plain,
% 23.91/15.68 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0)))),
% 23.91/15.68 inference(quant_inst,[status(thm)],[])).
% 23.91/15.68 tff(1981,plain,
% 23.91/15.68 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6))),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[1980, 1979])).
% 23.91/15.68 tff(1982,plain,
% 23.91/15.68 (v90(constB6, bitIndex0) | (~v100(constB6))),
% 23.91/15.68 inference(unit_resolution,[status(thm)],[1981, 1975, 1965])).
% 23.91/15.68 tff(1983,plain,
% 23.91/15.68 (v90(constB6, bitIndex0)),
% 23.91/15.68 inference(unit_resolution,[status(thm)],[1982, 1722])).
% 23.91/15.68 tff(1984,plain,
% 23.91/15.68 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)))),
% 23.91/15.68 inference(bind,[status(th)],[])).
% 23.91/15.68 tff(1985,plain,
% 23.91/15.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 23.91/15.68 inference(quant_intro,[status(thm)],[1984])).
% 23.91/15.68 tff(1986,plain,
% 23.91/15.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 23.91/15.68 inference(rewrite,[status(thm)],[])).
% 23.91/15.68 tff(1987,plain,
% 23.91/15.68 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex0))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex0))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex0))) | v90(VarNext, bitIndex0)) <=> (((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext)) | v90(VarNext, bitIndex0)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext)) | v90(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex0))) | v90(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))))),
% 23.91/15.68 inference(bind,[status(th)],[])).
% 23.91/15.68 tff(1988,plain,
% 23.91/15.68 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex0))) | v90(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 23.91/15.68 inference(quant_intro,[status(thm)],[1987])).
% 23.91/15.68 tff(1989,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex0))) | v90(VarNext, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_1')).
% 23.91/15.68 tff(1990,plain,
% 23.91/15.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[1989, 1988])).
% 23.91/15.68 tff(1991,plain,
% 23.91/15.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[1990, 1986])).
% 23.91/15.68 tff(1992,plain,(
% 23.91/15.68 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 23.91/15.68 inference(skolemize,[status(sab)],[1991])).
% 23.91/15.68 tff(1993,plain,
% 23.91/15.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[1992, 1985])).
% 23.91/15.68 tff(1994,plain,
% 23.91/15.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))),
% 23.91/15.68 inference(rewrite,[status(thm)],[])).
% 23.91/15.68 tff(1995,plain,
% 23.91/15.68 (((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0)) <=> ((~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))),
% 23.91/15.68 inference(rewrite,[status(thm)],[])).
% 23.91/15.68 tff(1996,plain,
% 23.91/15.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0)))),
% 23.91/15.68 inference(monotonicity,[status(thm)],[1995])).
% 23.91/15.68 tff(1997,plain,
% 23.91/15.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))),
% 23.91/15.68 inference(transitivity,[status(thm)],[1996, 1994])).
% 23.91/15.68 tff(1998,plain,
% 23.91/15.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0))),
% 23.91/15.68 inference(quant_inst,[status(thm)],[])).
% 23.91/15.68 tff(1999,plain,
% 23.91/15.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0)),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[1998, 1997])).
% 23.91/15.68 tff(2000,plain,
% 23.91/15.68 ((~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0)),
% 23.91/15.68 inference(unit_resolution,[status(thm)],[1999, 1993, 1856])).
% 23.91/15.68 tff(2001,plain,
% 23.91/15.68 ((~v90(constB6, bitIndex0)) | v90(constB7, bitIndex0)),
% 23.91/15.68 inference(unit_resolution,[status(thm)],[2000, 1868])).
% 23.91/15.68 tff(2002,plain,
% 23.91/15.68 (v90(constB7, bitIndex0)),
% 23.91/15.68 inference(unit_resolution,[status(thm)],[2001, 1983])).
% 23.91/15.68 tff(2003,plain,
% 23.91/15.68 (^[VarCurr: state_type] : refl(((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr)))),
% 23.91/15.68 inference(bind,[status(th)],[])).
% 23.91/15.68 tff(2004,plain,
% 23.91/15.68 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))),
% 23.91/15.68 inference(quant_intro,[status(thm)],[2003])).
% 23.91/15.68 tff(2005,plain,
% 23.91/15.68 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))),
% 23.91/15.68 inference(rewrite,[status(thm)],[])).
% 23.91/15.68 tff(2006,plain,
% 23.91/15.68 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))), ((((v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex0))) | v120(VarCurr)) <=> (((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | v120(VarCurr)))), rewrite((((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | v120(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))), ((((v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex0))) | v120(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))))),
% 23.91/15.68 inference(bind,[status(th)],[])).
% 23.91/15.68 tff(2007,plain,
% 23.91/15.68 (![VarCurr: state_type] : (((v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex0))) | v120(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))),
% 23.91/15.68 inference(quant_intro,[status(thm)],[2006])).
% 23.91/15.68 tff(2008,axiom,(![VarCurr: state_type] : (((v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex0))) | v120(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_1')).
% 23.91/15.68 tff(2009,plain,
% 23.91/15.68 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[2008, 2007])).
% 23.91/15.68 tff(2010,plain,
% 23.91/15.68 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[2009, 2005])).
% 23.91/15.68 tff(2011,plain,(
% 23.91/15.68 ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))),
% 23.91/15.68 inference(skolemize,[status(sab)],[2010])).
% 23.91/15.68 tff(2012,plain,
% 23.91/15.68 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))),
% 23.91/15.68 inference(modus_ponens,[status(thm)],[2011, 2004])).
% 23.91/15.68 tff(2013,plain,
% 23.91/15.68 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v120(constB7))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v120(constB7))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2014,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v120(constB7))),
% 23.91/15.69 inference(quant_inst,[status(thm)],[])).
% 23.91/15.69 tff(2015,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v120(constB7)),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2014, 2013])).
% 23.91/15.69 tff(2016,plain,
% 23.91/15.69 (v120(constB7)),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2015, 2012, 2002, 1921, 1877])).
% 23.91/15.69 tff(2017,plain,
% 23.91/15.69 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 23.91/15.69 inference(bind,[status(th)],[])).
% 23.91/15.69 tff(2018,plain,
% 23.91/15.69 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 23.91/15.69 inference(quant_intro,[status(thm)],[2017])).
% 23.91/15.69 tff(2019,plain,
% 23.91/15.69 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2020,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_1')).
% 23.91/15.69 tff(2021,plain,
% 23.91/15.69 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2020, 2019])).
% 23.91/15.69 tff(2022,plain,(
% 23.91/15.69 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 23.91/15.69 inference(skolemize,[status(sab)],[2021])).
% 23.91/15.69 tff(2023,plain,
% 23.91/15.69 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2022, 2018])).
% 23.91/15.69 tff(2024,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB7)) | (~v130(constB7, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB7)) | (~v130(constB7, bitIndex0)))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2025,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB7)) | (~v130(constB7, bitIndex0)))),
% 23.91/15.69 inference(quant_inst,[status(thm)],[])).
% 23.91/15.69 tff(2026,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB7)) | (~v130(constB7, bitIndex0))),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2025, 2024])).
% 23.91/15.69 tff(2027,plain,
% 23.91/15.69 (~v130(constB7, bitIndex0)),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2026, 2023, 2016])).
% 23.91/15.69 tff(2028,plain,
% 23.91/15.69 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 23.91/15.69 inference(bind,[status(th)],[])).
% 23.91/15.69 tff(2029,plain,
% 23.91/15.69 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 23.91/15.69 inference(quant_intro,[status(thm)],[2028])).
% 23.91/15.69 tff(2030,plain,
% 23.91/15.69 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2031,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_2')).
% 23.91/15.69 tff(2032,plain,
% 23.91/15.69 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2031, 2030])).
% 23.91/15.69 tff(2033,plain,(
% 23.91/15.69 ![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 23.91/15.69 inference(skolemize,[status(sab)],[2032])).
% 23.91/15.69 tff(2034,plain,
% 23.91/15.69 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2033, 2029])).
% 23.91/15.69 tff(2035,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB7)) | v130(constB7, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB7)) | v130(constB7, bitIndex1))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2036,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB7)) | v130(constB7, bitIndex1))),
% 23.91/15.69 inference(quant_inst,[status(thm)],[])).
% 23.91/15.69 tff(2037,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB7)) | v130(constB7, bitIndex1)),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2036, 2035])).
% 23.91/15.69 tff(2038,plain,
% 23.91/15.69 (v130(constB7, bitIndex1)),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2037, 2034, 2016])).
% 23.91/15.69 tff(2039,assumption,(~v113(constB7)), introduced(assumption)).
% 23.91/15.69 tff(2040,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB7) | (~v114(constB7)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB7) | (~v114(constB7)))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2041,plain,
% 23.91/15.69 (((~v114(constB7)) | v113(constB7)) <=> (v113(constB7) | (~v114(constB7)))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2042,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB7)) | v113(constB7))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB7) | (~v114(constB7))))),
% 23.91/15.69 inference(monotonicity,[status(thm)],[2041])).
% 23.91/15.69 tff(2043,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB7)) | v113(constB7))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB7) | (~v114(constB7)))),
% 23.91/15.69 inference(transitivity,[status(thm)],[2042, 2040])).
% 23.91/15.69 tff(2044,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB7)) | v113(constB7))),
% 23.91/15.69 inference(quant_inst,[status(thm)],[])).
% 23.91/15.69 tff(2045,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB7) | (~v114(constB7))),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2044, 2043])).
% 23.91/15.69 tff(2046,plain,
% 23.91/15.69 (~v114(constB7)),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2045, 1036, 2039])).
% 23.91/15.69 tff(2047,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB7) | (~v115(constB7)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB7) | (~v115(constB7)))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2048,plain,
% 23.91/15.69 (((~v115(constB7)) | v114(constB7)) <=> (v114(constB7) | (~v115(constB7)))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2049,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB7)) | v114(constB7))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB7) | (~v115(constB7))))),
% 23.91/15.69 inference(monotonicity,[status(thm)],[2048])).
% 23.91/15.69 tff(2050,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB7)) | v114(constB7))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB7) | (~v115(constB7)))),
% 23.91/15.69 inference(transitivity,[status(thm)],[2049, 2047])).
% 23.91/15.69 tff(2051,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB7)) | v114(constB7))),
% 23.91/15.69 inference(quant_inst,[status(thm)],[])).
% 23.91/15.69 tff(2052,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB7) | (~v115(constB7))),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2051, 2050])).
% 23.91/15.69 tff(2053,plain,
% 23.91/15.69 (~v115(constB7)),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2052, 1022, 2046])).
% 23.91/15.69 tff(2054,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB7) | (~v123(constB7)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB7) | (~v123(constB7)))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2055,plain,
% 23.91/15.69 (((~v123(constB7)) | v115(constB7)) <=> (v115(constB7) | (~v123(constB7)))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2056,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB7)) | v115(constB7))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB7) | (~v123(constB7))))),
% 23.91/15.69 inference(monotonicity,[status(thm)],[2055])).
% 23.91/15.69 tff(2057,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB7)) | v115(constB7))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB7) | (~v123(constB7)))),
% 23.91/15.69 inference(transitivity,[status(thm)],[2056, 2054])).
% 23.91/15.69 tff(2058,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB7)) | v115(constB7))),
% 23.91/15.69 inference(quant_inst,[status(thm)],[])).
% 23.91/15.69 tff(2059,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB7) | (~v123(constB7))),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2058, 2057])).
% 23.91/15.69 tff(2060,plain,
% 23.91/15.69 (~v123(constB7)),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2059, 1412, 2053])).
% 23.91/15.69 tff(2061,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB7) | (~v116(constB7)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB7) | (~v116(constB7)))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2062,plain,
% 23.91/15.69 (((~v116(constB7)) | v115(constB7)) <=> (v115(constB7) | (~v116(constB7)))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2063,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB7)) | v115(constB7))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB7) | (~v116(constB7))))),
% 23.91/15.69 inference(monotonicity,[status(thm)],[2062])).
% 23.91/15.69 tff(2064,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB7)) | v115(constB7))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB7) | (~v116(constB7)))),
% 23.91/15.69 inference(transitivity,[status(thm)],[2063, 2061])).
% 23.91/15.69 tff(2065,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB7)) | v115(constB7))),
% 23.91/15.69 inference(quant_inst,[status(thm)],[])).
% 23.91/15.69 tff(2066,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB7) | (~v116(constB7))),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2065, 2064])).
% 23.91/15.69 tff(2067,plain,
% 23.91/15.69 (~v116(constB7)),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2066, 1008, 2053])).
% 23.91/15.69 tff(2068,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB7) | (~v117(constB7)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB7) | (~v117(constB7)))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2069,plain,
% 23.91/15.69 (((~v117(constB7)) | v116(constB7)) <=> (v116(constB7) | (~v117(constB7)))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2070,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB7)) | v116(constB7))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB7) | (~v117(constB7))))),
% 23.91/15.69 inference(monotonicity,[status(thm)],[2069])).
% 23.91/15.69 tff(2071,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB7)) | v116(constB7))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB7) | (~v117(constB7)))),
% 23.91/15.69 inference(transitivity,[status(thm)],[2070, 2068])).
% 23.91/15.69 tff(2072,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB7)) | v116(constB7))),
% 23.91/15.69 inference(quant_inst,[status(thm)],[])).
% 23.91/15.69 tff(2073,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB7) | (~v117(constB7))),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2072, 2071])).
% 23.91/15.69 tff(2074,plain,
% 23.91/15.69 (~v117(constB7)),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2073, 994, 2067])).
% 23.91/15.69 tff(2075,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB7) | (~v118(constB7)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB7) | (~v118(constB7)))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2076,plain,
% 23.91/15.69 (((~v118(constB7)) | v117(constB7)) <=> (v117(constB7) | (~v118(constB7)))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2077,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB7)) | v117(constB7))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB7) | (~v118(constB7))))),
% 23.91/15.69 inference(monotonicity,[status(thm)],[2076])).
% 23.91/15.69 tff(2078,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB7)) | v117(constB7))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB7) | (~v118(constB7)))),
% 23.91/15.69 inference(transitivity,[status(thm)],[2077, 2075])).
% 23.91/15.69 tff(2079,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB7)) | v117(constB7))),
% 23.91/15.69 inference(quant_inst,[status(thm)],[])).
% 23.91/15.69 tff(2080,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB7) | (~v118(constB7))),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2079, 2078])).
% 23.91/15.69 tff(2081,plain,
% 23.91/15.69 (~v118(constB7)),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2080, 980, 2074])).
% 23.91/15.69 tff(2082,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB7) | (~v119(constB7)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB7) | (~v119(constB7)))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2083,plain,
% 23.91/15.69 (((~v119(constB7)) | v118(constB7)) <=> (v118(constB7) | (~v119(constB7)))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2084,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB7)) | v118(constB7))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB7) | (~v119(constB7))))),
% 23.91/15.69 inference(monotonicity,[status(thm)],[2083])).
% 23.91/15.69 tff(2085,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB7)) | v118(constB7))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB7) | (~v119(constB7)))),
% 23.91/15.69 inference(transitivity,[status(thm)],[2084, 2082])).
% 23.91/15.69 tff(2086,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB7)) | v118(constB7))),
% 23.91/15.69 inference(quant_inst,[status(thm)],[])).
% 23.91/15.69 tff(2087,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB7) | (~v119(constB7))),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2086, 2085])).
% 23.91/15.69 tff(2088,plain,
% 23.91/15.69 (~v119(constB7)),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2087, 969, 2081])).
% 23.91/15.69 tff(2089,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB7) | (~v125(constB7)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB7) | (~v125(constB7)))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2090,plain,
% 23.91/15.69 (((~v125(constB7)) | v113(constB7)) <=> (v113(constB7) | (~v125(constB7)))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2091,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB7)) | v113(constB7))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB7) | (~v125(constB7))))),
% 23.91/15.69 inference(monotonicity,[status(thm)],[2090])).
% 23.91/15.69 tff(2092,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB7)) | v113(constB7))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB7) | (~v125(constB7)))),
% 23.91/15.69 inference(transitivity,[status(thm)],[2091, 2089])).
% 23.91/15.69 tff(2093,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB7)) | v113(constB7))),
% 23.91/15.69 inference(quant_inst,[status(thm)],[])).
% 23.91/15.69 tff(2094,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB7) | (~v125(constB7))),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2093, 2092])).
% 23.91/15.69 tff(2095,plain,
% 23.91/15.69 (~v125(constB7)),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2094, 1672, 2039])).
% 23.91/15.69 tff(2096,plain,
% 23.91/15.69 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v117(VarCurr)) <=> ((~v121(VarCurr)) | v117(VarCurr)))),
% 23.91/15.69 inference(bind,[status(th)],[])).
% 23.91/15.69 tff(2097,plain,
% 23.91/15.69 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 23.91/15.69 inference(quant_intro,[status(thm)],[2096])).
% 23.91/15.69 tff(2098,plain,
% 23.91/15.69 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2099,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_1')).
% 23.91/15.69 tff(2100,plain,
% 23.91/15.69 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2099, 2098])).
% 23.91/15.69 tff(2101,plain,(
% 23.91/15.69 ![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 23.91/15.69 inference(skolemize,[status(sab)],[2100])).
% 23.91/15.69 tff(2102,plain,
% 23.91/15.69 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2101, 2097])).
% 23.91/15.69 tff(2103,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB7) | (~v121(constB7)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB7) | (~v121(constB7)))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2104,plain,
% 23.91/15.69 (((~v121(constB7)) | v117(constB7)) <=> (v117(constB7) | (~v121(constB7)))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2105,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB7)) | v117(constB7))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB7) | (~v121(constB7))))),
% 23.91/15.69 inference(monotonicity,[status(thm)],[2104])).
% 23.91/15.69 tff(2106,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB7)) | v117(constB7))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB7) | (~v121(constB7)))),
% 23.91/15.69 inference(transitivity,[status(thm)],[2105, 2103])).
% 23.91/15.69 tff(2107,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB7)) | v117(constB7))),
% 23.91/15.69 inference(quant_inst,[status(thm)],[])).
% 23.91/15.69 tff(2108,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB7) | (~v121(constB7))),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2107, 2106])).
% 23.91/15.69 tff(2109,plain,
% 23.91/15.69 (~v121(constB7)),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2108, 2102, 2074])).
% 23.91/15.69 tff(2110,assumption,(~v90(constB7, bitIndex0)), introduced(assumption)).
% 23.91/15.69 tff(2111,assumption,(~v123(constB7)), introduced(assumption)).
% 23.91/15.69 tff(2112,assumption,(~v119(constB7)), introduced(assumption)).
% 23.91/15.69 tff(2113,assumption,(~v90(constB7, bitIndex1)), introduced(assumption)).
% 23.91/15.69 tff(2114,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB7, bitIndex0) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex2)) | v123(constB7))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB7, bitIndex0) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex2)) | v123(constB7))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2115,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB7, bitIndex0) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex2)) | v123(constB7))),
% 23.91/15.69 inference(quant_inst,[status(thm)],[])).
% 23.91/15.69 tff(2116,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB7, bitIndex0) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex2)) | v123(constB7)),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2115, 2114])).
% 23.91/15.69 tff(2117,plain,
% 23.91/15.69 (v90(constB7, bitIndex0) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex2))),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2116, 1401, 2111])).
% 23.91/15.69 tff(2118,plain,
% 23.91/15.69 (~v90(constB7, bitIndex2)),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2117, 2113, 2110])).
% 23.91/15.69 tff(2119,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB7, bitIndex0) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v119(constB7))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB7, bitIndex0) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v119(constB7))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2120,plain,
% 23.91/15.69 ((v90(constB7, bitIndex0) | v119(constB7) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2)) <=> (v90(constB7, bitIndex0) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v119(constB7))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2121,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB7, bitIndex0) | v119(constB7) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB7, bitIndex0) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v119(constB7)))),
% 23.91/15.69 inference(monotonicity,[status(thm)],[2120])).
% 23.91/15.69 tff(2122,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB7, bitIndex0) | v119(constB7) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB7, bitIndex0) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v119(constB7))),
% 23.91/15.69 inference(transitivity,[status(thm)],[2121, 2119])).
% 23.91/15.69 tff(2123,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB7, bitIndex0) | v119(constB7) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2))),
% 23.91/15.69 inference(quant_inst,[status(thm)],[])).
% 23.91/15.69 tff(2124,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB7, bitIndex0) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v119(constB7)),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2123, 2122])).
% 23.91/15.69 tff(2125,plain,
% 23.91/15.69 (v90(constB7, bitIndex0) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2)),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2124, 955, 2112])).
% 23.91/15.69 tff(2126,plain,
% 23.91/15.69 ($false),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2125, 2118, 2113, 2110])).
% 23.91/15.69 tff(2127,plain,(v90(constB7, bitIndex1) | v90(constB7, bitIndex0) | v119(constB7) | v123(constB7)), inference(lemma,lemma(discharge,[]))).
% 23.91/15.69 tff(2128,plain,
% 23.91/15.69 (v90(constB7, bitIndex1)),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2127, 2110, 2112, 2111])).
% 23.91/15.69 tff(2129,assumption,(~v125(constB7)), introduced(assumption)).
% 23.91/15.69 tff(2130,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB7, bitIndex0) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex2)) | v125(constB7))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB7, bitIndex0) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex2)) | v125(constB7))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2131,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB7, bitIndex0) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex2)) | v125(constB7))),
% 23.91/15.69 inference(quant_inst,[status(thm)],[])).
% 23.91/15.69 tff(2132,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB7, bitIndex0) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex2)) | v125(constB7)),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2131, 2130])).
% 23.91/15.69 tff(2133,plain,
% 23.91/15.69 (v90(constB7, bitIndex0) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex2))),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2132, 1661, 2129])).
% 23.91/15.69 tff(2134,plain,
% 23.91/15.69 (~v90(constB7, bitIndex2)),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2133, 2128, 2110])).
% 23.91/15.69 tff(2135,assumption,(~v121(constB7)), introduced(assumption)).
% 23.91/15.69 tff(2136,plain,
% 23.91/15.69 (^[VarCurr: state_type] : refl((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)))),
% 23.91/15.69 inference(bind,[status(th)],[])).
% 23.91/15.69 tff(2137,plain,
% 23.91/15.69 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 23.91/15.69 inference(quant_intro,[status(thm)],[2136])).
% 23.91/15.69 tff(2138,plain,
% 23.91/15.69 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2139,plain,
% 23.91/15.69 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex1))) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2))), ((((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex1))) | v121(VarCurr)) <=> ((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) | v121(VarCurr)))), rewrite(((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) | v121(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))), ((((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex1))) | v121(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))))),
% 23.91/15.69 inference(bind,[status(th)],[])).
% 23.91/15.69 tff(2140,plain,
% 23.91/15.69 (![VarCurr: state_type] : (((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex1))) | v121(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 23.91/15.69 inference(quant_intro,[status(thm)],[2139])).
% 23.91/15.69 tff(2141,axiom,(![VarCurr: state_type] : (((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex1))) | v121(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_1')).
% 23.91/15.69 tff(2142,plain,
% 23.91/15.69 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2141, 2140])).
% 23.91/15.69 tff(2143,plain,
% 23.91/15.69 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2142, 2138])).
% 23.91/15.69 tff(2144,plain,(
% 23.91/15.69 ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 23.91/15.69 inference(skolemize,[status(sab)],[2143])).
% 23.91/15.69 tff(2145,plain,
% 23.91/15.69 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2144, 2137])).
% 23.91/15.69 tff(2146,plain,
% 23.91/15.69 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB7, bitIndex0) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v121(constB7))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB7, bitIndex0) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v121(constB7))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2147,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB7, bitIndex0) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v121(constB7))),
% 23.91/15.69 inference(quant_inst,[status(thm)],[])).
% 23.91/15.69 tff(2148,plain,
% 23.91/15.69 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB7, bitIndex0) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v121(constB7)),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2147, 2146])).
% 23.91/15.69 tff(2149,plain,
% 23.91/15.69 (v90(constB7, bitIndex0) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2)),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2148, 2145, 2135])).
% 23.91/15.69 tff(2150,plain,
% 23.91/15.69 ($false),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2149, 2134, 2128, 2110])).
% 23.91/15.69 tff(2151,plain,(v90(constB7, bitIndex0) | v121(constB7) | v125(constB7) | v119(constB7) | v123(constB7)), inference(lemma,lemma(discharge,[]))).
% 23.91/15.69 tff(2152,plain,
% 23.91/15.69 (v90(constB7, bitIndex0)),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2151, 2109, 2095, 2088, 2060])).
% 23.91/15.69 tff(2153,plain,
% 23.91/15.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex0)))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2154,plain,
% 23.91/15.69 (((~nextState(constB6, constB7)) | v90(constB6, bitIndex0) | v100(constB7) | (~v90(constB7, bitIndex0))) <=> (v90(constB6, bitIndex0) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex0)))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2155,plain,
% 23.91/15.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex0) | v100(constB7) | (~v90(constB7, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex0))))),
% 23.91/15.69 inference(monotonicity,[status(thm)],[2154])).
% 23.91/15.69 tff(2156,plain,
% 23.91/15.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex0) | v100(constB7) | (~v90(constB7, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex0)))),
% 23.91/15.69 inference(transitivity,[status(thm)],[2155, 2153])).
% 23.91/15.69 tff(2157,plain,
% 23.91/15.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex0) | v100(constB7) | (~v90(constB7, bitIndex0)))),
% 23.91/15.69 inference(quant_inst,[status(thm)],[])).
% 23.91/15.69 tff(2158,plain,
% 23.91/15.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex0))),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2157, 2156])).
% 23.91/15.69 tff(2159,plain,
% 23.91/15.69 (v90(constB6, bitIndex0) | v100(constB7) | (~v90(constB7, bitIndex0))),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2158, 934, 1856])).
% 23.91/15.69 tff(2160,plain,
% 23.91/15.69 (v90(constB6, bitIndex0) | (~v90(constB7, bitIndex0))),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2159, 1868])).
% 23.91/15.69 tff(2161,plain,
% 23.91/15.69 (v90(constB6, bitIndex0)),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2160, 2152])).
% 23.91/15.69 tff(2162,plain,
% 23.91/15.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB5, bitIndex0) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB5, bitIndex0) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex0)))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2163,plain,
% 23.91/15.69 (((~nextState(constB5, constB6)) | v90(constB5, bitIndex0) | v100(constB6) | (~v90(constB6, bitIndex0))) <=> (v90(constB5, bitIndex0) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex0)))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.69 tff(2164,plain,
% 23.91/15.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB5, constB6)) | v90(constB5, bitIndex0) | v100(constB6) | (~v90(constB6, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB5, bitIndex0) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex0))))),
% 23.91/15.69 inference(monotonicity,[status(thm)],[2163])).
% 23.91/15.69 tff(2165,plain,
% 23.91/15.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB5, constB6)) | v90(constB5, bitIndex0) | v100(constB6) | (~v90(constB6, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB5, bitIndex0) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex0)))),
% 23.91/15.69 inference(transitivity,[status(thm)],[2164, 2162])).
% 23.91/15.69 tff(2166,plain,
% 23.91/15.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB5, constB6)) | v90(constB5, bitIndex0) | v100(constB6) | (~v90(constB6, bitIndex0)))),
% 23.91/15.69 inference(quant_inst,[status(thm)],[])).
% 23.91/15.69 tff(2167,plain,
% 23.91/15.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB5, bitIndex0) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex0))),
% 23.91/15.69 inference(modus_ponens,[status(thm)],[2166, 2165])).
% 23.91/15.69 tff(2168,plain,
% 23.91/15.69 (v90(constB5, bitIndex0) | v100(constB6) | (~v90(constB6, bitIndex0))),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2167, 934, 1691])).
% 23.91/15.69 tff(2169,plain,
% 23.91/15.69 (v100(constB6) | (~v90(constB6, bitIndex0))),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2168, 1651])).
% 23.91/15.69 tff(2170,plain,
% 23.91/15.69 (v100(constB6)),
% 23.91/15.69 inference(unit_resolution,[status(thm)],[2169, 2161])).
% 23.91/15.69 tff(2171,plain,
% 23.91/15.69 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB6, bitIndex0)) | v129(constB6, bitIndex0) | (~v100(constB6)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | v129(constB6, bitIndex0) | (~v100(constB6)))),
% 23.91/15.69 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2172,plain,
% 23.91/15.70 (((~v90(constB6, bitIndex0)) | (~v100(constB6)) | v129(constB6, bitIndex0)) <=> ((~v90(constB6, bitIndex0)) | v129(constB6, bitIndex0) | (~v100(constB6)))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2173,plain,
% 23.91/15.70 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB6, bitIndex0)) | (~v100(constB6)) | v129(constB6, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB6, bitIndex0)) | v129(constB6, bitIndex0) | (~v100(constB6))))),
% 23.91/15.70 inference(monotonicity,[status(thm)],[2172])).
% 23.91/15.70 tff(2174,plain,
% 23.91/15.70 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB6, bitIndex0)) | (~v100(constB6)) | v129(constB6, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | v129(constB6, bitIndex0) | (~v100(constB6)))),
% 23.91/15.70 inference(transitivity,[status(thm)],[2173, 2171])).
% 23.91/15.70 tff(2175,plain,
% 23.91/15.70 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB6, bitIndex0)) | (~v100(constB6)) | v129(constB6, bitIndex0))),
% 23.91/15.70 inference(quant_inst,[status(thm)],[])).
% 23.91/15.70 tff(2176,plain,
% 23.91/15.70 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | v129(constB6, bitIndex0) | (~v100(constB6))),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2175, 2174])).
% 23.91/15.70 tff(2177,plain,
% 23.91/15.70 (v129(constB6, bitIndex0)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2176, 1374, 2170, 2161])).
% 23.91/15.70 tff(2178,plain,
% 23.91/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex0) | (~v129(constB6, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex0) | (~v129(constB6, bitIndex0)))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2179,plain,
% 23.91/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex0) | (~v129(constB6, bitIndex0)))),
% 23.91/15.70 inference(quant_inst,[status(thm)],[])).
% 23.91/15.70 tff(2180,plain,
% 23.91/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex0) | (~v129(constB6, bitIndex0))),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2179, 2178])).
% 23.91/15.70 tff(2181,plain,
% 23.91/15.70 (v127(constB5, bitIndex0) | (~v129(constB6, bitIndex0))),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2180, 1359, 1691])).
% 23.91/15.70 tff(2182,plain,
% 23.91/15.70 (v127(constB5, bitIndex0)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2181, 2177])).
% 23.91/15.70 tff(2183,plain,
% 23.91/15.70 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))))),
% 23.91/15.70 inference(bind,[status(th)],[])).
% 23.91/15.70 tff(2184,plain,
% 23.91/15.70 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 23.91/15.70 inference(quant_intro,[status(thm)],[2183])).
% 23.91/15.70 tff(2185,plain,
% 23.91/15.70 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2186,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_1')).
% 23.91/15.70 tff(2187,plain,
% 23.91/15.70 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2186, 2185])).
% 23.91/15.70 tff(2188,plain,(
% 23.91/15.70 ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 23.91/15.70 inference(skolemize,[status(sab)],[2187])).
% 23.91/15.70 tff(2189,plain,
% 23.91/15.70 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2188, 2184])).
% 23.91/15.70 tff(2190,plain,
% 23.91/15.70 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB5)) | (~v127(constB5, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB5)) | (~v127(constB5, bitIndex0)))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2191,plain,
% 23.91/15.70 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB5)) | (~v127(constB5, bitIndex0)))),
% 23.91/15.70 inference(quant_inst,[status(thm)],[])).
% 23.91/15.70 tff(2192,plain,
% 23.91/15.70 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB5)) | (~v127(constB5, bitIndex0))),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2191, 2190])).
% 23.91/15.70 tff(2193,plain,
% 23.91/15.70 (~v26(constB5)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2192, 2189, 2182])).
% 23.91/15.70 tff(2194,plain,
% 23.91/15.70 (~v127(constB5, bitIndex1)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[1898, 2193])).
% 23.91/15.70 tff(2195,plain,
% 23.91/15.70 (~v129(constB6, bitIndex1)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[1903, 2194])).
% 23.91/15.70 tff(2196,plain,
% 23.91/15.70 ((~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[1910, 1303, 2170])).
% 23.91/15.70 tff(2197,plain,
% 23.91/15.70 (~v90(constB6, bitIndex1)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2196, 2195])).
% 23.91/15.70 tff(2198,plain,
% 23.91/15.70 (~v90(constB7, bitIndex1)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[1920, 2197])).
% 23.91/15.70 tff(2199,plain,
% 23.91/15.70 (~v127(constB5, bitIndex2)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[1819, 2193])).
% 23.91/15.70 tff(2200,plain,
% 23.91/15.70 (~v129(constB6, bitIndex2)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[1834, 2199])).
% 23.91/15.70 tff(2201,plain,
% 23.91/15.70 ((~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[1848, 1845, 2170])).
% 23.91/15.70 tff(2202,plain,
% 23.91/15.70 (~v90(constB6, bitIndex2)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2201, 2200])).
% 23.91/15.70 tff(2203,plain,
% 23.91/15.70 (~v90(constB7, bitIndex2)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[1876, 2202])).
% 23.91/15.70 tff(2204,plain,
% 23.91/15.70 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | v118(VarCurr)) <=> ((~v120(VarCurr)) | v118(VarCurr)))),
% 23.91/15.70 inference(bind,[status(th)],[])).
% 23.91/15.70 tff(2205,plain,
% 23.91/15.70 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 23.91/15.70 inference(quant_intro,[status(thm)],[2204])).
% 23.91/15.70 tff(2206,plain,
% 23.91/15.70 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2207,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_1')).
% 23.91/15.70 tff(2208,plain,
% 23.91/15.70 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2207, 2206])).
% 23.91/15.70 tff(2209,plain,(
% 23.91/15.70 ![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 23.91/15.70 inference(skolemize,[status(sab)],[2208])).
% 23.91/15.70 tff(2210,plain,
% 23.91/15.70 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2209, 2205])).
% 23.91/15.70 tff(2211,plain,
% 23.91/15.70 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB7) | (~v120(constB7)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB7) | (~v120(constB7)))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2212,plain,
% 23.91/15.70 (((~v120(constB7)) | v118(constB7)) <=> (v118(constB7) | (~v120(constB7)))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2213,plain,
% 23.91/15.70 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB7)) | v118(constB7))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB7) | (~v120(constB7))))),
% 23.91/15.70 inference(monotonicity,[status(thm)],[2212])).
% 23.91/15.70 tff(2214,plain,
% 23.91/15.70 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB7)) | v118(constB7))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB7) | (~v120(constB7)))),
% 23.91/15.70 inference(transitivity,[status(thm)],[2213, 2211])).
% 23.91/15.70 tff(2215,plain,
% 23.91/15.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB7)) | v118(constB7))),
% 23.91/15.70 inference(quant_inst,[status(thm)],[])).
% 23.91/15.70 tff(2216,plain,
% 23.91/15.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB7) | (~v120(constB7))),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2215, 2214])).
% 23.91/15.70 tff(2217,plain,
% 23.91/15.70 (~v120(constB7)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2216, 2210, 2081])).
% 23.91/15.70 tff(2218,plain,
% 23.91/15.70 ((~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2015, 2012, 2217])).
% 23.91/15.70 tff(2219,plain,
% 23.91/15.70 ($false),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2218, 2203, 2198, 2152])).
% 23.91/15.70 tff(2220,plain,(v113(constB7)), inference(lemma,lemma(discharge,[]))).
% 23.91/15.70 tff(2221,assumption,(v26(constB7)), introduced(assumption)).
% 23.91/15.70 tff(2222,plain,
% 23.91/15.70 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB7))),
% 23.91/15.70 inference(quant_inst,[status(thm)],[])).
% 23.91/15.70 tff(2223,plain,
% 23.91/15.70 ($false),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2222, 797, 2221])).
% 23.91/15.70 tff(2224,plain,(~v26(constB7)), inference(lemma,lemma(discharge,[]))).
% 23.91/15.70 tff(2225,plain,
% 23.91/15.70 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 23.91/15.70 inference(bind,[status(th)],[])).
% 23.91/15.70 tff(2226,plain,
% 23.91/15.70 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 23.91/15.70 inference(quant_intro,[status(thm)],[2225])).
% 23.91/15.70 tff(2227,plain,
% 23.91/15.70 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2228,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_3')).
% 23.91/15.70 tff(2229,plain,
% 23.91/15.70 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2228, 2227])).
% 23.91/15.70 tff(2230,plain,(
% 23.91/15.70 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 23.91/15.70 inference(skolemize,[status(sab)],[2229])).
% 23.91/15.70 tff(2231,plain,
% 23.91/15.70 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2230, 2226])).
% 23.91/15.70 tff(2232,plain,
% 23.91/15.70 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB7)) | (~v130(constB7, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB7)) | (~v130(constB7, bitIndex2)))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2233,plain,
% 23.91/15.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB7)) | (~v130(constB7, bitIndex2)))),
% 23.91/15.70 inference(quant_inst,[status(thm)],[])).
% 23.91/15.70 tff(2234,plain,
% 23.91/15.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB7)) | (~v130(constB7, bitIndex2))),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2233, 2232])).
% 23.91/15.70 tff(2235,plain,
% 23.91/15.70 (~v130(constB7, bitIndex2)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2234, 2231, 2016])).
% 23.91/15.70 tff(2236,assumption,(~v26(constB7)), introduced(assumption)).
% 23.91/15.70 tff(2237,assumption,(v113(constB7)), introduced(assumption)).
% 23.91/15.70 tff(2238,plain,
% 23.91/15.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | v112(constB7) | (~v113(constB7)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | v112(constB7) | (~v113(constB7)))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2239,plain,
% 23.91/15.70 ((v26(constB7) | (~v113(constB7)) | v112(constB7)) <=> (v26(constB7) | v112(constB7) | (~v113(constB7)))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2240,plain,
% 23.91/15.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | v112(constB7) | (~v113(constB7))))),
% 23.91/15.70 inference(monotonicity,[status(thm)],[2239])).
% 23.91/15.70 tff(2241,plain,
% 23.91/15.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | v112(constB7) | (~v113(constB7)))),
% 23.91/15.70 inference(transitivity,[status(thm)],[2240, 2238])).
% 23.91/15.70 tff(2242,plain,
% 23.91/15.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))),
% 23.91/15.70 inference(quant_inst,[status(thm)],[])).
% 23.91/15.70 tff(2243,plain,
% 23.91/15.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | v112(constB7) | (~v113(constB7))),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2242, 2241])).
% 23.91/15.70 tff(2244,plain,
% 23.91/15.70 (v26(constB7) | v112(constB7)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2243, 1050, 2237])).
% 23.91/15.70 tff(2245,plain,
% 23.91/15.70 (v112(constB7)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2244, 2236])).
% 23.91/15.70 tff(2246,plain,
% 23.91/15.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB7) | (~v112(constB7)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v112(constB7)))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2247,plain,
% 23.91/15.70 (((~v112(constB7)) | v108(constB7)) <=> (v108(constB7) | (~v112(constB7)))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2248,plain,
% 23.91/15.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB7)) | v108(constB7))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB7) | (~v112(constB7))))),
% 23.91/15.70 inference(monotonicity,[status(thm)],[2247])).
% 23.91/15.70 tff(2249,plain,
% 23.91/15.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB7)) | v108(constB7))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v112(constB7)))),
% 23.91/15.70 inference(transitivity,[status(thm)],[2248, 2246])).
% 23.91/15.70 tff(2250,plain,
% 23.91/15.70 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB7)) | v108(constB7))),
% 23.91/15.70 inference(quant_inst,[status(thm)],[])).
% 23.91/15.70 tff(2251,plain,
% 23.91/15.70 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v112(constB7))),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2250, 2249])).
% 23.91/15.70 tff(2252,plain,
% 23.91/15.70 (v108(constB7)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2251, 1062, 2245])).
% 23.91/15.70 tff(2253,plain,
% 23.91/15.70 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2254,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_7_1')).
% 23.91/15.70 tff(2255,plain,
% 23.91/15.70 (nextState(constB7, constB8)),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2254, 2253])).
% 23.91/15.70 tff(2256,plain,
% 23.91/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2257,plain,
% 23.91/15.70 (((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8)) <=> ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2258,plain,
% 23.91/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7))))),
% 23.91/15.70 inference(monotonicity,[status(thm)],[2257])).
% 23.91/15.70 tff(2259,plain,
% 23.91/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 23.91/15.70 inference(transitivity,[status(thm)],[2258, 2256])).
% 23.91/15.70 tff(2260,plain,
% 23.91/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))),
% 23.91/15.70 inference(quant_inst,[status(thm)],[])).
% 23.91/15.70 tff(2261,plain,
% 23.91/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7))),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2260, 2259])).
% 23.91/15.70 tff(2262,plain,
% 23.91/15.70 (v110(constB8) | (~v108(constB7))),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2261, 1082, 2255])).
% 23.91/15.70 tff(2263,plain,
% 23.91/15.70 (v110(constB8)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2262, 2252])).
% 23.91/15.70 tff(2264,plain,
% 23.91/15.70 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2265,plain,
% 23.91/15.70 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))),
% 23.91/15.70 inference(quant_inst,[status(thm)],[])).
% 23.91/15.70 tff(2266,plain,
% 23.91/15.70 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8))),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2265, 2264])).
% 23.91/15.70 tff(2267,plain,
% 23.91/15.70 (~v104(constB8)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2266, 1100, 2255, 1853])).
% 23.91/15.70 tff(2268,plain,
% 23.91/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2269,plain,
% 23.91/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))),
% 23.91/15.70 inference(quant_inst,[status(thm)],[])).
% 23.91/15.70 tff(2270,plain,
% 23.91/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v102(constB8) | v104(constB8)),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2269, 2268])).
% 23.91/15.70 tff(2271,plain,
% 23.91/15.70 (v102(constB8) | v104(constB8)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2270, 1114, 2255])).
% 23.91/15.70 tff(2272,plain,
% 23.91/15.70 (v102(constB8)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2271, 2267])).
% 23.91/15.70 tff(2273,plain,
% 23.91/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2274,plain,
% 23.91/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))),
% 23.91/15.70 inference(quant_inst,[status(thm)],[])).
% 23.91/15.70 tff(2275,plain,
% 23.91/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8))),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2274, 2273])).
% 23.91/15.70 tff(2276,plain,
% 23.91/15.70 (v101(constB8) | (~v102(constB8))),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2275, 1129, 2255, 229])).
% 23.91/15.70 tff(2277,plain,
% 23.91/15.70 (v101(constB8)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2276, 2272])).
% 23.91/15.70 tff(2278,plain,
% 23.91/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2279,plain,
% 23.91/15.70 (((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8)) <=> ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2280,plain,
% 23.91/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8))))),
% 23.91/15.70 inference(monotonicity,[status(thm)],[2279])).
% 23.91/15.70 tff(2281,plain,
% 23.91/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 23.91/15.70 inference(transitivity,[status(thm)],[2280, 2278])).
% 23.91/15.70 tff(2282,plain,
% 23.91/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))),
% 23.91/15.70 inference(quant_inst,[status(thm)],[])).
% 23.91/15.70 tff(2283,plain,
% 23.91/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2282, 2281])).
% 23.91/15.70 tff(2284,plain,
% 23.91/15.70 (v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2283, 1144, 2255])).
% 23.91/15.70 tff(2285,plain,
% 23.91/15.70 (v100(constB8) | (~v110(constB8))),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2284, 2277])).
% 23.91/15.70 tff(2286,plain,
% 23.91/15.70 (v100(constB8)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2285, 2263])).
% 23.91/15.70 tff(2287,assumption,(~v130(constB7, bitIndex2)), introduced(assumption)).
% 23.91/15.70 tff(2288,plain,
% 23.91/15.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2289,plain,
% 23.91/15.70 ((v26(constB7) | v130(constB7, bitIndex2) | (~v127(constB7, bitIndex2))) <=> ((~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2290,plain,
% 23.91/15.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB7) | v130(constB7, bitIndex2) | (~v127(constB7, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2)))),
% 23.91/15.70 inference(monotonicity,[status(thm)],[2289])).
% 23.91/15.70 tff(2291,plain,
% 23.91/15.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB7) | v130(constB7, bitIndex2) | (~v127(constB7, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2))),
% 23.91/15.70 inference(transitivity,[status(thm)],[2290, 2288])).
% 23.91/15.70 tff(2292,plain,
% 23.91/15.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB7) | v130(constB7, bitIndex2) | (~v127(constB7, bitIndex2)))),
% 23.91/15.70 inference(quant_inst,[status(thm)],[])).
% 23.91/15.70 tff(2293,plain,
% 23.91/15.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2)),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2292, 2291])).
% 23.91/15.70 tff(2294,plain,
% 23.91/15.70 ((~v127(constB7, bitIndex2)) | v26(constB7)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2293, 1812, 2287])).
% 23.91/15.70 tff(2295,plain,
% 23.91/15.70 (~v127(constB7, bitIndex2)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2294, 2236])).
% 23.91/15.70 tff(2296,plain,
% 23.91/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2)))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2297,plain,
% 23.91/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2)))),
% 23.91/15.70 inference(quant_inst,[status(thm)],[])).
% 23.91/15.70 tff(2298,plain,
% 23.91/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2))),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2297, 2296])).
% 23.91/15.70 tff(2299,plain,
% 23.91/15.70 (v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2))),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2298, 1830, 2255])).
% 23.91/15.70 tff(2300,plain,
% 23.91/15.70 (~v129(constB8, bitIndex2)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2299, 2295])).
% 23.91/15.70 tff(2301,plain,
% 23.91/15.70 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2) | (~v100(constB8)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2) | (~v100(constB8)))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2302,plain,
% 23.91/15.70 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2) | (~v100(constB8)))),
% 23.91/15.70 inference(quant_inst,[status(thm)],[])).
% 23.91/15.70 tff(2303,plain,
% 23.91/15.70 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2) | (~v100(constB8))),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2302, 2301])).
% 23.91/15.70 tff(2304,plain,
% 23.91/15.70 ((~v90(constB8, bitIndex2)) | (~v100(constB8))),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2303, 1845, 2300])).
% 23.91/15.70 tff(2305,plain,
% 23.91/15.70 (~v90(constB8, bitIndex2)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2304, 2286])).
% 23.91/15.70 tff(2306,plain,
% 23.91/15.70 ((~v1(constB9)) <=> (~v1(constB9))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2307,axiom,(~v1(constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_9_1_1')).
% 23.91/15.70 tff(2308,plain,
% 23.91/15.70 (~v1(constB9)),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2307, 2306])).
% 23.91/15.70 tff(2309,plain,
% 23.91/15.70 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2310,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_8_1')).
% 23.91/15.70 tff(2311,plain,
% 23.91/15.70 (nextState(constB8, constB9)),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2310, 2309])).
% 23.91/15.70 tff(2312,plain,
% 23.91/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2313,plain,
% 23.91/15.70 (((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9)) <=> (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2314,plain,
% 23.91/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9))))),
% 23.91/15.70 inference(monotonicity,[status(thm)],[2313])).
% 23.91/15.70 tff(2315,plain,
% 23.91/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 23.91/15.70 inference(transitivity,[status(thm)],[2314, 2312])).
% 23.91/15.70 tff(2316,plain,
% 23.91/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))),
% 23.91/15.70 inference(quant_inst,[status(thm)],[])).
% 23.91/15.70 tff(2317,plain,
% 23.91/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9))),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2316, 2315])).
% 23.91/15.70 tff(2318,plain,
% 23.91/15.70 (~v101(constB9)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2317, 860, 2311, 2308])).
% 23.91/15.70 tff(2319,plain,
% 23.91/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2320,plain,
% 23.91/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))),
% 23.91/15.70 inference(quant_inst,[status(thm)],[])).
% 23.91/15.70 tff(2321,plain,
% 23.91/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9))),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2320, 2319])).
% 23.91/15.70 tff(2322,plain,
% 23.91/15.70 (v101(constB9) | (~v100(constB9))),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2321, 877, 2311])).
% 23.91/15.70 tff(2323,plain,
% 23.91/15.70 (~v100(constB9)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2322, 2318])).
% 23.91/15.70 tff(2324,plain,
% 23.91/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2)))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2325,plain,
% 23.91/15.70 (((~nextState(constB8, constB9)) | v90(constB8, bitIndex2) | v100(constB9) | (~v90(constB9, bitIndex2))) <=> (v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2)))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2326,plain,
% 23.91/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex2) | v100(constB9) | (~v90(constB9, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2))))),
% 23.91/15.70 inference(monotonicity,[status(thm)],[2325])).
% 23.91/15.70 tff(2327,plain,
% 23.91/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex2) | v100(constB9) | (~v90(constB9, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2)))),
% 23.91/15.70 inference(transitivity,[status(thm)],[2326, 2324])).
% 23.91/15.70 tff(2328,plain,
% 23.91/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex2) | v100(constB9) | (~v90(constB9, bitIndex2)))),
% 23.91/15.70 inference(quant_inst,[status(thm)],[])).
% 23.91/15.70 tff(2329,plain,
% 23.91/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2))),
% 23.91/15.70 inference(modus_ponens,[status(thm)],[2328, 2327])).
% 23.91/15.70 tff(2330,plain,
% 23.91/15.70 (v90(constB8, bitIndex2) | v100(constB9) | (~v90(constB9, bitIndex2))),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2329, 892, 2311])).
% 23.91/15.70 tff(2331,plain,
% 23.91/15.70 (v90(constB8, bitIndex2) | (~v90(constB9, bitIndex2))),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2330, 2323])).
% 23.91/15.70 tff(2332,plain,
% 23.91/15.70 (~v90(constB9, bitIndex2)),
% 23.91/15.70 inference(unit_resolution,[status(thm)],[2331, 2305])).
% 23.91/15.70 tff(2333,assumption,(v130(constB7, bitIndex1)), introduced(assumption)).
% 23.91/15.70 tff(2334,plain,
% 23.91/15.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB7) | (~v130(constB7, bitIndex1)) | v127(constB7, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB7) | (~v130(constB7, bitIndex1)) | v127(constB7, bitIndex1))),
% 23.91/15.70 inference(rewrite,[status(thm)],[])).
% 23.91/15.70 tff(2335,plain,
% 23.91/15.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB7) | (~v130(constB7, bitIndex1)) | v127(constB7, bitIndex1))),
% 23.91/15.71 inference(quant_inst,[status(thm)],[])).
% 23.91/15.71 tff(2336,plain,
% 23.91/15.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB7) | (~v130(constB7, bitIndex1)) | v127(constB7, bitIndex1)),
% 23.91/15.71 inference(modus_ponens,[status(thm)],[2335, 2334])).
% 23.91/15.71 tff(2337,plain,
% 23.91/15.71 (v26(constB7) | v127(constB7, bitIndex1)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2336, 1553, 2333])).
% 23.91/15.71 tff(2338,plain,
% 23.91/15.71 (v127(constB7, bitIndex1)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2337, 2236])).
% 23.91/15.71 tff(2339,plain,
% 23.91/15.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB7, constB8)) | (~v127(constB7, bitIndex1)) | v129(constB8, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB7, constB8)) | (~v127(constB7, bitIndex1)) | v129(constB8, bitIndex1))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2340,plain,
% 23.91/15.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB7, constB8)) | (~v127(constB7, bitIndex1)) | v129(constB8, bitIndex1))),
% 23.91/15.71 inference(quant_inst,[status(thm)],[])).
% 23.91/15.71 tff(2341,plain,
% 23.91/15.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB7, constB8)) | (~v127(constB7, bitIndex1)) | v129(constB8, bitIndex1)),
% 23.91/15.71 inference(modus_ponens,[status(thm)],[2340, 2339])).
% 23.91/15.71 tff(2342,plain,
% 23.91/15.71 ((~v127(constB7, bitIndex1)) | v129(constB8, bitIndex1)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2341, 1568, 2255])).
% 23.91/15.71 tff(2343,plain,
% 23.91/15.71 (v129(constB8, bitIndex1)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2342, 2338])).
% 23.91/15.71 tff(2344,plain,
% 23.91/15.71 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB8, bitIndex1) | (~v129(constB8, bitIndex1)) | (~v100(constB8)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB8, bitIndex1) | (~v129(constB8, bitIndex1)) | (~v100(constB8)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2345,plain,
% 23.91/15.71 ((v90(constB8, bitIndex1) | (~v100(constB8)) | (~v129(constB8, bitIndex1))) <=> (v90(constB8, bitIndex1) | (~v129(constB8, bitIndex1)) | (~v100(constB8)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2346,plain,
% 23.91/15.71 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB8, bitIndex1) | (~v100(constB8)) | (~v129(constB8, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB8, bitIndex1) | (~v129(constB8, bitIndex1)) | (~v100(constB8))))),
% 23.91/15.71 inference(monotonicity,[status(thm)],[2345])).
% 23.91/15.71 tff(2347,plain,
% 23.91/15.71 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB8, bitIndex1) | (~v100(constB8)) | (~v129(constB8, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB8, bitIndex1) | (~v129(constB8, bitIndex1)) | (~v100(constB8)))),
% 23.91/15.71 inference(transitivity,[status(thm)],[2346, 2344])).
% 23.91/15.71 tff(2348,plain,
% 23.91/15.71 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB8, bitIndex1) | (~v100(constB8)) | (~v129(constB8, bitIndex1)))),
% 23.91/15.71 inference(quant_inst,[status(thm)],[])).
% 23.91/15.71 tff(2349,plain,
% 23.91/15.71 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB8, bitIndex1) | (~v129(constB8, bitIndex1)) | (~v100(constB8))),
% 23.91/15.71 inference(modus_ponens,[status(thm)],[2348, 2347])).
% 23.91/15.71 tff(2350,plain,
% 23.91/15.71 (v90(constB8, bitIndex1) | (~v100(constB8))),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2349, 1583, 2343])).
% 23.91/15.71 tff(2351,plain,
% 23.91/15.71 (v90(constB8, bitIndex1)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2350, 2286])).
% 23.91/15.71 tff(2352,plain,
% 23.91/15.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex1))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2353,plain,
% 23.91/15.71 (((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex1)) | v100(constB9) | v90(constB9, bitIndex1)) <=> ((~v90(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex1))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2354,plain,
% 23.91/15.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex1)) | v100(constB9) | v90(constB9, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex1)))),
% 23.91/15.71 inference(monotonicity,[status(thm)],[2353])).
% 23.91/15.71 tff(2355,plain,
% 23.91/15.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex1)) | v100(constB9) | v90(constB9, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex1))),
% 23.91/15.71 inference(transitivity,[status(thm)],[2354, 2352])).
% 23.91/15.71 tff(2356,plain,
% 23.91/15.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex1)) | v100(constB9) | v90(constB9, bitIndex1))),
% 23.91/15.71 inference(quant_inst,[status(thm)],[])).
% 23.91/15.71 tff(2357,plain,
% 23.91/15.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex1)),
% 23.91/15.71 inference(modus_ponens,[status(thm)],[2356, 2355])).
% 23.91/15.71 tff(2358,plain,
% 23.91/15.71 ((~v90(constB8, bitIndex1)) | v100(constB9) | v90(constB9, bitIndex1)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2357, 1601, 2311])).
% 23.91/15.71 tff(2359,plain,
% 23.91/15.71 ((~v90(constB8, bitIndex1)) | v90(constB9, bitIndex1)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2358, 2323])).
% 23.91/15.71 tff(2360,plain,
% 23.91/15.71 (v90(constB9, bitIndex1)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2359, 2351])).
% 23.91/15.71 tff(2361,assumption,(~v130(constB7, bitIndex0)), introduced(assumption)).
% 23.91/15.71 tff(2362,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2363,plain,
% 23.91/15.71 ((v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0))) <=> ((~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2364,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0)))),
% 23.91/15.71 inference(monotonicity,[status(thm)],[2363])).
% 23.91/15.71 tff(2365,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))),
% 23.91/15.71 inference(transitivity,[status(thm)],[2364, 2362])).
% 23.91/15.71 tff(2366,plain,
% 23.91/15.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0)))),
% 23.91/15.71 inference(quant_inst,[status(thm)],[])).
% 23.91/15.71 tff(2367,plain,
% 23.91/15.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0)),
% 23.91/15.71 inference(modus_ponens,[status(thm)],[2366, 2365])).
% 23.91/15.71 tff(2368,plain,
% 23.91/15.71 ((~v127(constB7, bitIndex0)) | v26(constB7)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2367, 1341, 2361])).
% 23.91/15.71 tff(2369,plain,
% 23.91/15.71 (~v127(constB7, bitIndex0)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2368, 2236])).
% 23.91/15.71 tff(2370,plain,
% 23.91/15.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2371,plain,
% 23.91/15.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0)))),
% 23.91/15.71 inference(quant_inst,[status(thm)],[])).
% 23.91/15.71 tff(2372,plain,
% 23.91/15.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0))),
% 23.91/15.71 inference(modus_ponens,[status(thm)],[2371, 2370])).
% 23.91/15.71 tff(2373,plain,
% 23.91/15.71 (v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0))),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2372, 1359, 2255])).
% 23.91/15.71 tff(2374,plain,
% 23.91/15.71 (~v129(constB8, bitIndex0)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2373, 2369])).
% 23.91/15.71 tff(2375,plain,
% 23.91/15.71 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2376,plain,
% 23.91/15.71 (((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0)) <=> ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2377,plain,
% 23.91/15.71 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8))))),
% 23.91/15.71 inference(monotonicity,[status(thm)],[2376])).
% 23.91/15.71 tff(2378,plain,
% 23.91/15.71 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))),
% 23.91/15.71 inference(transitivity,[status(thm)],[2377, 2375])).
% 23.91/15.71 tff(2379,plain,
% 23.91/15.71 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0))),
% 23.91/15.71 inference(quant_inst,[status(thm)],[])).
% 23.91/15.71 tff(2380,plain,
% 23.91/15.71 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8))),
% 23.91/15.71 inference(modus_ponens,[status(thm)],[2379, 2378])).
% 23.91/15.71 tff(2381,plain,
% 23.91/15.71 ((~v90(constB8, bitIndex0)) | (~v100(constB8))),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2380, 1374, 2374])).
% 23.91/15.71 tff(2382,plain,
% 23.91/15.71 (~v90(constB8, bitIndex0)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2381, 2286])).
% 23.91/15.71 tff(2383,plain,
% 23.91/15.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2384,plain,
% 23.91/15.71 (((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0))) <=> (v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2385,plain,
% 23.91/15.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0))))),
% 23.91/15.71 inference(monotonicity,[status(thm)],[2384])).
% 23.91/15.71 tff(2386,plain,
% 23.91/15.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 23.91/15.71 inference(transitivity,[status(thm)],[2385, 2383])).
% 23.91/15.71 tff(2387,plain,
% 23.91/15.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 23.91/15.71 inference(quant_inst,[status(thm)],[])).
% 23.91/15.71 tff(2388,plain,
% 23.91/15.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0))),
% 23.91/15.71 inference(modus_ponens,[status(thm)],[2387, 2386])).
% 23.91/15.71 tff(2389,plain,
% 23.91/15.71 (v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0))),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2388, 934, 2311])).
% 23.91/15.71 tff(2390,plain,
% 23.91/15.71 (v90(constB8, bitIndex0) | (~v90(constB9, bitIndex0))),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2389, 2323])).
% 23.91/15.71 tff(2391,plain,
% 23.91/15.71 (~v90(constB9, bitIndex0)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2390, 2382])).
% 23.91/15.71 tff(2392,assumption,(~v121(constB9)), introduced(assumption)).
% 23.91/15.71 tff(2393,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex2) | v121(constB9))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex2) | v121(constB9))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2394,plain,
% 23.91/15.71 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex2) | v121(constB9))),
% 23.91/15.71 inference(quant_inst,[status(thm)],[])).
% 23.91/15.71 tff(2395,plain,
% 23.91/15.71 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex2) | v121(constB9)),
% 23.91/15.71 inference(modus_ponens,[status(thm)],[2394, 2393])).
% 23.91/15.71 tff(2396,plain,
% 23.91/15.71 (v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex2)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2395, 2145, 2392])).
% 23.91/15.71 tff(2397,plain,
% 23.91/15.71 ($false),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2396, 2391, 2360, 2332])).
% 23.91/15.71 tff(2398,plain,(v26(constB7) | v121(constB9) | (~v113(constB7)) | v130(constB7, bitIndex2) | (~v130(constB7, bitIndex1)) | v130(constB7, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 23.91/15.71 tff(2399,plain,
% 23.91/15.71 (v121(constB9)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2398, 2235, 2224, 2220, 2038, 2027])).
% 23.91/15.71 tff(2400,plain,
% 23.91/15.71 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 23.91/15.71 inference(bind,[status(th)],[])).
% 23.91/15.71 tff(2401,plain,
% 23.91/15.71 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 23.91/15.71 inference(quant_intro,[status(thm)],[2400])).
% 23.91/15.71 tff(2402,plain,
% 23.91/15.71 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2403,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_3_3')).
% 23.91/15.71 tff(2404,plain,
% 23.91/15.71 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 23.91/15.71 inference(modus_ponens,[status(thm)],[2403, 2402])).
% 23.91/15.71 tff(2405,plain,(
% 23.91/15.71 ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 23.91/15.71 inference(skolemize,[status(sab)],[2404])).
% 23.91/15.71 tff(2406,plain,
% 23.91/15.71 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 23.91/15.71 inference(modus_ponens,[status(thm)],[2405, 2401])).
% 23.91/15.71 tff(2407,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB9)) | (~v130(constB9, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB9)) | (~v130(constB9, bitIndex2)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2408,plain,
% 23.91/15.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB9)) | (~v130(constB9, bitIndex2)))),
% 23.91/15.71 inference(quant_inst,[status(thm)],[])).
% 23.91/15.71 tff(2409,plain,
% 23.91/15.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB9)) | (~v130(constB9, bitIndex2))),
% 23.91/15.71 inference(modus_ponens,[status(thm)],[2408, 2407])).
% 23.91/15.71 tff(2410,plain,
% 23.91/15.71 (~v130(constB9, bitIndex2)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2409, 2406, 2399])).
% 23.91/15.71 tff(2411,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2412,plain,
% 23.91/15.71 ((v26(constB9) | v130(constB9, bitIndex2) | (~v127(constB9, bitIndex2))) <=> ((~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2413,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB9) | v130(constB9, bitIndex2) | (~v127(constB9, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2)))),
% 23.91/15.71 inference(monotonicity,[status(thm)],[2412])).
% 23.91/15.71 tff(2414,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB9) | v130(constB9, bitIndex2) | (~v127(constB9, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2))),
% 23.91/15.71 inference(transitivity,[status(thm)],[2413, 2411])).
% 23.91/15.71 tff(2415,plain,
% 23.91/15.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB9) | v130(constB9, bitIndex2) | (~v127(constB9, bitIndex2)))),
% 23.91/15.71 inference(quant_inst,[status(thm)],[])).
% 23.91/15.71 tff(2416,plain,
% 23.91/15.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2)),
% 23.91/15.71 inference(modus_ponens,[status(thm)],[2415, 2414])).
% 23.91/15.71 tff(2417,plain,
% 23.91/15.71 ((~v127(constB9, bitIndex2)) | v26(constB9)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2416, 1812, 2410])).
% 23.91/15.71 tff(2418,plain,
% 23.91/15.71 (~v127(constB9, bitIndex2)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2417, 832])).
% 23.91/15.71 tff(2419,plain,
% 23.91/15.71 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2420,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_9_1')).
% 23.91/15.71 tff(2421,plain,
% 23.91/15.71 (nextState(constB9, constB10)),
% 23.91/15.71 inference(modus_ponens,[status(thm)],[2420, 2419])).
% 23.91/15.71 tff(2422,plain,
% 23.91/15.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB9, constB10)) | v127(constB9, bitIndex2) | (~v129(constB10, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB9, constB10)) | v127(constB9, bitIndex2) | (~v129(constB10, bitIndex2)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2423,plain,
% 23.91/15.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB9, constB10)) | v127(constB9, bitIndex2) | (~v129(constB10, bitIndex2)))),
% 23.91/15.71 inference(quant_inst,[status(thm)],[])).
% 23.91/15.71 tff(2424,plain,
% 23.91/15.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB9, constB10)) | v127(constB9, bitIndex2) | (~v129(constB10, bitIndex2))),
% 23.91/15.71 inference(modus_ponens,[status(thm)],[2423, 2422])).
% 23.91/15.71 tff(2425,plain,
% 23.91/15.71 (v127(constB9, bitIndex2) | (~v129(constB10, bitIndex2))),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2424, 1830, 2421])).
% 23.91/15.71 tff(2426,plain,
% 23.91/15.71 (~v129(constB10, bitIndex2)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2425, 2418])).
% 23.91/15.71 tff(2427,assumption,(~v108(constB9)), introduced(assumption)).
% 23.91/15.71 tff(2428,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB9) | (~v112(constB9)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v112(constB9)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2429,plain,
% 23.91/15.71 (((~v112(constB9)) | v108(constB9)) <=> (v108(constB9) | (~v112(constB9)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2430,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB9)) | v108(constB9))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB9) | (~v112(constB9))))),
% 23.91/15.71 inference(monotonicity,[status(thm)],[2429])).
% 23.91/15.71 tff(2431,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB9)) | v108(constB9))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v112(constB9)))),
% 23.91/15.71 inference(transitivity,[status(thm)],[2430, 2428])).
% 23.91/15.71 tff(2432,plain,
% 23.91/15.71 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB9)) | v108(constB9))),
% 23.91/15.71 inference(quant_inst,[status(thm)],[])).
% 23.91/15.71 tff(2433,plain,
% 23.91/15.71 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v112(constB9))),
% 23.91/15.71 inference(modus_ponens,[status(thm)],[2432, 2431])).
% 23.91/15.71 tff(2434,plain,
% 23.91/15.71 (~v112(constB9)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2433, 1062, 2427])).
% 23.91/15.71 tff(2435,plain,
% 23.91/15.71 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | v108(VarCurr)) <=> ((~v26(VarCurr)) | v108(VarCurr)))),
% 23.91/15.71 inference(bind,[status(th)],[])).
% 23.91/15.71 tff(2436,plain,
% 23.91/15.71 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 23.91/15.71 inference(quant_intro,[status(thm)],[2435])).
% 23.91/15.71 tff(2437,plain,
% 23.91/15.71 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2438,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_2')).
% 23.91/15.71 tff(2439,plain,
% 23.91/15.71 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 23.91/15.71 inference(modus_ponens,[status(thm)],[2438, 2437])).
% 23.91/15.71 tff(2440,plain,(
% 23.91/15.71 ![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 23.91/15.71 inference(skolemize,[status(sab)],[2439])).
% 23.91/15.71 tff(2441,plain,
% 23.91/15.71 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 23.91/15.71 inference(modus_ponens,[status(thm)],[2440, 2436])).
% 23.91/15.71 tff(2442,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB9) | (~v26(constB9)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v26(constB9)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2443,plain,
% 23.91/15.71 (((~v26(constB9)) | v108(constB9)) <=> (v108(constB9) | (~v26(constB9)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2444,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB9)) | v108(constB9))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB9) | (~v26(constB9))))),
% 23.91/15.71 inference(monotonicity,[status(thm)],[2443])).
% 23.91/15.71 tff(2445,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB9)) | v108(constB9))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v26(constB9)))),
% 23.91/15.71 inference(transitivity,[status(thm)],[2444, 2442])).
% 23.91/15.71 tff(2446,plain,
% 23.91/15.71 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB9)) | v108(constB9))),
% 23.91/15.71 inference(quant_inst,[status(thm)],[])).
% 23.91/15.71 tff(2447,plain,
% 23.91/15.71 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v26(constB9))),
% 23.91/15.71 inference(modus_ponens,[status(thm)],[2446, 2445])).
% 23.91/15.71 tff(2448,plain,
% 23.91/15.71 (~v26(constB9)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2447, 2441, 2427])).
% 23.91/15.71 tff(2449,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB9) | (~v121(constB9)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB9) | (~v121(constB9)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2450,plain,
% 23.91/15.71 (((~v121(constB9)) | v117(constB9)) <=> (v117(constB9) | (~v121(constB9)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2451,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB9)) | v117(constB9))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB9) | (~v121(constB9))))),
% 23.91/15.71 inference(monotonicity,[status(thm)],[2450])).
% 23.91/15.71 tff(2452,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB9)) | v117(constB9))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB9) | (~v121(constB9)))),
% 23.91/15.71 inference(transitivity,[status(thm)],[2451, 2449])).
% 23.91/15.71 tff(2453,plain,
% 23.91/15.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB9)) | v117(constB9))),
% 23.91/15.71 inference(quant_inst,[status(thm)],[])).
% 23.91/15.71 tff(2454,plain,
% 23.91/15.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB9) | (~v121(constB9))),
% 23.91/15.71 inference(modus_ponens,[status(thm)],[2453, 2452])).
% 23.91/15.71 tff(2455,plain,
% 23.91/15.71 (v117(constB9)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2454, 2102, 2399])).
% 23.91/15.71 tff(2456,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB9) | (~v117(constB9)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB9) | (~v117(constB9)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2457,plain,
% 23.91/15.71 (((~v117(constB9)) | v116(constB9)) <=> (v116(constB9) | (~v117(constB9)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2458,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB9)) | v116(constB9))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB9) | (~v117(constB9))))),
% 23.91/15.71 inference(monotonicity,[status(thm)],[2457])).
% 23.91/15.71 tff(2459,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB9)) | v116(constB9))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB9) | (~v117(constB9)))),
% 23.91/15.71 inference(transitivity,[status(thm)],[2458, 2456])).
% 23.91/15.71 tff(2460,plain,
% 23.91/15.71 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB9)) | v116(constB9))),
% 23.91/15.71 inference(quant_inst,[status(thm)],[])).
% 23.91/15.71 tff(2461,plain,
% 23.91/15.71 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB9) | (~v117(constB9))),
% 23.91/15.71 inference(modus_ponens,[status(thm)],[2460, 2459])).
% 23.91/15.71 tff(2462,plain,
% 23.91/15.71 (v116(constB9)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2461, 994, 2455])).
% 23.91/15.71 tff(2463,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB9) | (~v116(constB9)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB9) | (~v116(constB9)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2464,plain,
% 23.91/15.71 (((~v116(constB9)) | v115(constB9)) <=> (v115(constB9) | (~v116(constB9)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2465,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB9)) | v115(constB9))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB9) | (~v116(constB9))))),
% 23.91/15.71 inference(monotonicity,[status(thm)],[2464])).
% 23.91/15.71 tff(2466,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB9)) | v115(constB9))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB9) | (~v116(constB9)))),
% 23.91/15.71 inference(transitivity,[status(thm)],[2465, 2463])).
% 23.91/15.71 tff(2467,plain,
% 23.91/15.71 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB9)) | v115(constB9))),
% 23.91/15.71 inference(quant_inst,[status(thm)],[])).
% 23.91/15.71 tff(2468,plain,
% 23.91/15.71 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB9) | (~v116(constB9))),
% 23.91/15.71 inference(modus_ponens,[status(thm)],[2467, 2466])).
% 23.91/15.71 tff(2469,plain,
% 23.91/15.71 (v115(constB9)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2468, 1008, 2462])).
% 23.91/15.71 tff(2470,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB9) | (~v115(constB9)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB9) | (~v115(constB9)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2471,plain,
% 23.91/15.71 (((~v115(constB9)) | v114(constB9)) <=> (v114(constB9) | (~v115(constB9)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2472,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB9)) | v114(constB9))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB9) | (~v115(constB9))))),
% 23.91/15.71 inference(monotonicity,[status(thm)],[2471])).
% 23.91/15.71 tff(2473,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB9)) | v114(constB9))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB9) | (~v115(constB9)))),
% 23.91/15.71 inference(transitivity,[status(thm)],[2472, 2470])).
% 23.91/15.71 tff(2474,plain,
% 23.91/15.71 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB9)) | v114(constB9))),
% 23.91/15.71 inference(quant_inst,[status(thm)],[])).
% 23.91/15.71 tff(2475,plain,
% 23.91/15.71 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB9) | (~v115(constB9))),
% 23.91/15.71 inference(modus_ponens,[status(thm)],[2474, 2473])).
% 23.91/15.71 tff(2476,plain,
% 23.91/15.71 (v114(constB9)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2475, 1022, 2469])).
% 23.91/15.71 tff(2477,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB9) | (~v114(constB9)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB9) | (~v114(constB9)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2478,plain,
% 23.91/15.71 (((~v114(constB9)) | v113(constB9)) <=> (v113(constB9) | (~v114(constB9)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2479,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB9)) | v113(constB9))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB9) | (~v114(constB9))))),
% 23.91/15.71 inference(monotonicity,[status(thm)],[2478])).
% 23.91/15.71 tff(2480,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB9)) | v113(constB9))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB9) | (~v114(constB9)))),
% 23.91/15.71 inference(transitivity,[status(thm)],[2479, 2477])).
% 23.91/15.71 tff(2481,plain,
% 23.91/15.71 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB9)) | v113(constB9))),
% 23.91/15.71 inference(quant_inst,[status(thm)],[])).
% 23.91/15.71 tff(2482,plain,
% 23.91/15.71 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB9) | (~v114(constB9))),
% 23.91/15.71 inference(modus_ponens,[status(thm)],[2481, 2480])).
% 23.91/15.71 tff(2483,plain,
% 23.91/15.71 (v113(constB9)),
% 23.91/15.71 inference(unit_resolution,[status(thm)],[2482, 1036, 2476])).
% 23.91/15.71 tff(2484,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | v112(constB9) | (~v113(constB9)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | v112(constB9) | (~v113(constB9)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2485,plain,
% 23.91/15.71 ((v26(constB9) | (~v113(constB9)) | v112(constB9)) <=> (v26(constB9) | v112(constB9) | (~v113(constB9)))),
% 23.91/15.71 inference(rewrite,[status(thm)],[])).
% 23.91/15.71 tff(2486,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | v112(constB9) | (~v113(constB9))))),
% 23.91/15.71 inference(monotonicity,[status(thm)],[2485])).
% 23.91/15.71 tff(2487,plain,
% 23.91/15.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | v112(constB9) | (~v113(constB9)))),
% 23.91/15.71 inference(transitivity,[status(thm)],[2486, 2484])).
% 23.91/15.71 tff(2488,plain,
% 23.91/15.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))),
% 23.91/15.72 inference(quant_inst,[status(thm)],[])).
% 23.91/15.72 tff(2489,plain,
% 23.91/15.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | v112(constB9) | (~v113(constB9))),
% 23.91/15.72 inference(modus_ponens,[status(thm)],[2488, 2487])).
% 23.91/15.72 tff(2490,plain,
% 23.91/15.72 (v26(constB9) | v112(constB9)),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2489, 1050, 2483])).
% 23.91/15.72 tff(2491,plain,
% 23.91/15.72 ($false),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2490, 2448, 2434])).
% 23.91/15.72 tff(2492,plain,(v108(constB9)), inference(lemma,lemma(discharge,[]))).
% 23.91/15.72 tff(2493,plain,
% 23.91/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 23.91/15.72 inference(rewrite,[status(thm)],[])).
% 23.91/15.72 tff(2494,plain,
% 23.91/15.72 (((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10)) <=> ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 23.91/15.72 inference(rewrite,[status(thm)],[])).
% 23.91/15.72 tff(2495,plain,
% 23.91/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9))))),
% 23.91/15.72 inference(monotonicity,[status(thm)],[2494])).
% 23.91/15.72 tff(2496,plain,
% 23.91/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 23.91/15.72 inference(transitivity,[status(thm)],[2495, 2493])).
% 23.91/15.72 tff(2497,plain,
% 23.91/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))),
% 23.91/15.72 inference(quant_inst,[status(thm)],[])).
% 23.91/15.72 tff(2498,plain,
% 23.91/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9))),
% 23.91/15.72 inference(modus_ponens,[status(thm)],[2497, 2496])).
% 23.91/15.72 tff(2499,plain,
% 23.91/15.72 (v110(constB10) | (~v108(constB9))),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2498, 1082, 2421])).
% 23.91/15.72 tff(2500,plain,
% 23.91/15.72 (v110(constB10)),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2499, 2492])).
% 23.91/15.72 tff(2501,plain,
% 23.91/15.72 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))),
% 23.91/15.72 inference(rewrite,[status(thm)],[])).
% 23.91/15.72 tff(2502,plain,
% 23.91/15.72 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))),
% 23.91/15.72 inference(quant_inst,[status(thm)],[])).
% 23.91/15.72 tff(2503,plain,
% 23.91/15.72 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10))),
% 23.91/15.72 inference(modus_ponens,[status(thm)],[2502, 2501])).
% 23.91/15.72 tff(2504,plain,
% 23.91/15.72 (~v104(constB10)),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2503, 1100, 2421, 2308])).
% 23.91/15.72 tff(2505,plain,
% 23.91/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))),
% 23.91/15.72 inference(rewrite,[status(thm)],[])).
% 23.91/15.72 tff(2506,plain,
% 23.91/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))),
% 23.91/15.72 inference(quant_inst,[status(thm)],[])).
% 23.91/15.72 tff(2507,plain,
% 23.91/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v102(constB10) | v104(constB10)),
% 23.91/15.72 inference(modus_ponens,[status(thm)],[2506, 2505])).
% 23.91/15.72 tff(2508,plain,
% 23.91/15.72 (v102(constB10) | v104(constB10)),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2507, 1114, 2421])).
% 23.91/15.72 tff(2509,plain,
% 23.91/15.72 (v102(constB10)),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2508, 2504])).
% 23.91/15.72 tff(2510,plain,
% 23.91/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))),
% 23.91/15.72 inference(rewrite,[status(thm)],[])).
% 23.91/15.72 tff(2511,plain,
% 23.91/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))),
% 23.91/15.72 inference(quant_inst,[status(thm)],[])).
% 23.91/15.72 tff(2512,plain,
% 23.91/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10))),
% 23.91/15.72 inference(modus_ponens,[status(thm)],[2511, 2510])).
% 23.91/15.72 tff(2513,plain,
% 23.91/15.72 (v101(constB10) | (~v102(constB10))),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2512, 1129, 2421, 361])).
% 23.91/15.72 tff(2514,plain,
% 23.91/15.72 (v101(constB10)),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2513, 2509])).
% 23.91/15.72 tff(2515,plain,
% 23.91/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 23.91/15.72 inference(rewrite,[status(thm)],[])).
% 23.91/15.72 tff(2516,plain,
% 23.91/15.72 (((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10)) <=> ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 23.91/15.72 inference(rewrite,[status(thm)],[])).
% 23.91/15.72 tff(2517,plain,
% 23.91/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10))))),
% 23.91/15.72 inference(monotonicity,[status(thm)],[2516])).
% 23.91/15.72 tff(2518,plain,
% 23.91/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 23.91/15.72 inference(transitivity,[status(thm)],[2517, 2515])).
% 23.91/15.72 tff(2519,plain,
% 23.91/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))),
% 23.91/15.72 inference(quant_inst,[status(thm)],[])).
% 23.91/15.72 tff(2520,plain,
% 23.91/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 23.91/15.72 inference(modus_ponens,[status(thm)],[2519, 2518])).
% 23.91/15.72 tff(2521,plain,
% 23.91/15.72 (v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2520, 1144, 2421])).
% 23.91/15.72 tff(2522,plain,
% 23.91/15.72 (v100(constB10) | (~v110(constB10))),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2521, 2514])).
% 23.91/15.72 tff(2523,plain,
% 23.91/15.72 (v100(constB10)),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2522, 2500])).
% 23.91/15.72 tff(2524,plain,
% 23.91/15.72 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2) | (~v100(constB10)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2) | (~v100(constB10)))),
% 23.91/15.72 inference(rewrite,[status(thm)],[])).
% 23.91/15.72 tff(2525,plain,
% 23.91/15.72 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2) | (~v100(constB10)))),
% 23.91/15.72 inference(quant_inst,[status(thm)],[])).
% 23.91/15.72 tff(2526,plain,
% 23.91/15.72 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2) | (~v100(constB10))),
% 23.91/15.72 inference(modus_ponens,[status(thm)],[2525, 2524])).
% 23.91/15.72 tff(2527,plain,
% 23.91/15.72 ((~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2)),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2526, 1845, 2523])).
% 23.91/15.72 tff(2528,plain,
% 23.91/15.72 (~v90(constB10, bitIndex2)),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2527, 2426])).
% 23.91/15.72 tff(2529,plain,
% 23.91/15.72 ((~v1(constB11)) <=> (~v1(constB11))),
% 23.91/15.72 inference(rewrite,[status(thm)],[])).
% 23.91/15.72 tff(2530,axiom,(~v1(constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_11_1_1')).
% 23.91/15.72 tff(2531,plain,
% 23.91/15.72 (~v1(constB11)),
% 23.91/15.72 inference(modus_ponens,[status(thm)],[2530, 2529])).
% 23.91/15.72 tff(2532,plain,
% 23.91/15.72 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 23.91/15.72 inference(rewrite,[status(thm)],[])).
% 23.91/15.72 tff(2533,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_10_1')).
% 23.91/15.72 tff(2534,plain,
% 23.91/15.72 (nextState(constB10, constB11)),
% 23.91/15.72 inference(modus_ponens,[status(thm)],[2533, 2532])).
% 23.91/15.72 tff(2535,plain,
% 23.91/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 23.91/15.72 inference(rewrite,[status(thm)],[])).
% 23.91/15.72 tff(2536,plain,
% 23.91/15.72 (((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11)) <=> (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 23.91/15.72 inference(rewrite,[status(thm)],[])).
% 23.91/15.72 tff(2537,plain,
% 23.91/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11))))),
% 23.91/15.72 inference(monotonicity,[status(thm)],[2536])).
% 23.91/15.72 tff(2538,plain,
% 23.91/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 23.91/15.72 inference(transitivity,[status(thm)],[2537, 2535])).
% 23.91/15.72 tff(2539,plain,
% 23.91/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))),
% 23.91/15.72 inference(quant_inst,[status(thm)],[])).
% 23.91/15.72 tff(2540,plain,
% 23.91/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11))),
% 23.91/15.72 inference(modus_ponens,[status(thm)],[2539, 2538])).
% 23.91/15.72 tff(2541,plain,
% 23.91/15.72 (~v101(constB11)),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2540, 860, 2534, 2531])).
% 23.91/15.72 tff(2542,plain,
% 23.91/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))),
% 23.91/15.72 inference(rewrite,[status(thm)],[])).
% 23.91/15.72 tff(2543,plain,
% 23.91/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))),
% 23.91/15.72 inference(quant_inst,[status(thm)],[])).
% 23.91/15.72 tff(2544,plain,
% 23.91/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11))),
% 23.91/15.72 inference(modus_ponens,[status(thm)],[2543, 2542])).
% 23.91/15.72 tff(2545,plain,
% 23.91/15.72 (v101(constB11) | (~v100(constB11))),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2544, 877, 2534])).
% 23.91/15.72 tff(2546,plain,
% 23.91/15.72 (~v100(constB11)),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2545, 2541])).
% 23.91/15.72 tff(2547,plain,
% 23.91/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex2)))),
% 23.91/15.72 inference(rewrite,[status(thm)],[])).
% 23.91/15.72 tff(2548,plain,
% 23.91/15.72 (((~nextState(constB10, constB11)) | v90(constB10, bitIndex2) | v100(constB11) | (~v90(constB11, bitIndex2))) <=> (v90(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex2)))),
% 23.91/15.72 inference(rewrite,[status(thm)],[])).
% 23.91/15.72 tff(2549,plain,
% 23.91/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex2) | v100(constB11) | (~v90(constB11, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex2))))),
% 23.91/15.72 inference(monotonicity,[status(thm)],[2548])).
% 23.91/15.72 tff(2550,plain,
% 23.91/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex2) | v100(constB11) | (~v90(constB11, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex2)))),
% 23.91/15.72 inference(transitivity,[status(thm)],[2549, 2547])).
% 23.91/15.72 tff(2551,plain,
% 23.91/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex2) | v100(constB11) | (~v90(constB11, bitIndex2)))),
% 23.91/15.72 inference(quant_inst,[status(thm)],[])).
% 23.91/15.72 tff(2552,plain,
% 23.91/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex2))),
% 23.91/15.72 inference(modus_ponens,[status(thm)],[2551, 2550])).
% 23.91/15.72 tff(2553,plain,
% 23.91/15.72 (v90(constB10, bitIndex2) | v100(constB11) | (~v90(constB11, bitIndex2))),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2552, 892, 2534])).
% 23.91/15.72 tff(2554,plain,
% 23.91/15.72 (v90(constB10, bitIndex2) | (~v90(constB11, bitIndex2))),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2553, 2546])).
% 23.91/15.72 tff(2555,plain,
% 23.91/15.72 (~v90(constB11, bitIndex2)),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2554, 2528])).
% 23.91/15.72 tff(2556,plain,
% 23.91/15.72 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 23.91/15.72 inference(bind,[status(th)],[])).
% 23.91/15.72 tff(2557,plain,
% 23.91/15.72 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 23.91/15.72 inference(quant_intro,[status(thm)],[2556])).
% 23.91/15.72 tff(2558,plain,
% 23.91/15.72 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 23.91/15.72 inference(rewrite,[status(thm)],[])).
% 23.91/15.72 tff(2559,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_3_2')).
% 23.91/15.72 tff(2560,plain,
% 23.91/15.72 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 23.91/15.72 inference(modus_ponens,[status(thm)],[2559, 2558])).
% 23.91/15.72 tff(2561,plain,(
% 23.91/15.72 ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 23.91/15.72 inference(skolemize,[status(sab)],[2560])).
% 23.91/15.72 tff(2562,plain,
% 23.91/15.72 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 23.91/15.72 inference(modus_ponens,[status(thm)],[2561, 2557])).
% 23.91/15.72 tff(2563,plain,
% 23.91/15.72 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB9)) | v130(constB9, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB9)) | v130(constB9, bitIndex1))),
% 23.91/15.72 inference(rewrite,[status(thm)],[])).
% 23.91/15.72 tff(2564,plain,
% 23.91/15.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB9)) | v130(constB9, bitIndex1))),
% 23.91/15.72 inference(quant_inst,[status(thm)],[])).
% 23.91/15.72 tff(2565,plain,
% 23.91/15.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB9)) | v130(constB9, bitIndex1)),
% 23.91/15.72 inference(modus_ponens,[status(thm)],[2564, 2563])).
% 23.91/15.72 tff(2566,plain,
% 23.91/15.72 (v130(constB9, bitIndex1)),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2565, 2562, 2399])).
% 23.91/15.72 tff(2567,plain,
% 23.91/15.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB9) | (~v130(constB9, bitIndex1)) | v127(constB9, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB9) | (~v130(constB9, bitIndex1)) | v127(constB9, bitIndex1))),
% 23.91/15.72 inference(rewrite,[status(thm)],[])).
% 23.91/15.72 tff(2568,plain,
% 23.91/15.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB9) | (~v130(constB9, bitIndex1)) | v127(constB9, bitIndex1))),
% 23.91/15.72 inference(quant_inst,[status(thm)],[])).
% 23.91/15.72 tff(2569,plain,
% 23.91/15.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB9) | (~v130(constB9, bitIndex1)) | v127(constB9, bitIndex1)),
% 23.91/15.72 inference(modus_ponens,[status(thm)],[2568, 2567])).
% 23.91/15.72 tff(2570,plain,
% 23.91/15.72 (v26(constB9) | v127(constB9, bitIndex1)),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2569, 1553, 2566])).
% 23.91/15.72 tff(2571,plain,
% 23.91/15.72 (v127(constB9, bitIndex1)),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2570, 832])).
% 23.91/15.72 tff(2572,plain,
% 23.91/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex1)) | v129(constB10, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex1)) | v129(constB10, bitIndex1))),
% 23.91/15.72 inference(rewrite,[status(thm)],[])).
% 23.91/15.72 tff(2573,plain,
% 23.91/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex1)) | v129(constB10, bitIndex1))),
% 23.91/15.72 inference(quant_inst,[status(thm)],[])).
% 23.91/15.72 tff(2574,plain,
% 23.91/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex1)) | v129(constB10, bitIndex1)),
% 23.91/15.72 inference(modus_ponens,[status(thm)],[2573, 2572])).
% 23.91/15.72 tff(2575,plain,
% 23.91/15.72 ((~v127(constB9, bitIndex1)) | v129(constB10, bitIndex1)),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2574, 1568, 2421])).
% 23.91/15.72 tff(2576,plain,
% 23.91/15.72 (v129(constB10, bitIndex1)),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2575, 2571])).
% 23.91/15.72 tff(2577,plain,
% 23.91/15.72 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB10, bitIndex1) | (~v129(constB10, bitIndex1)) | (~v100(constB10)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB10, bitIndex1) | (~v129(constB10, bitIndex1)) | (~v100(constB10)))),
% 23.91/15.72 inference(rewrite,[status(thm)],[])).
% 23.91/15.72 tff(2578,plain,
% 23.91/15.72 ((v90(constB10, bitIndex1) | (~v100(constB10)) | (~v129(constB10, bitIndex1))) <=> (v90(constB10, bitIndex1) | (~v129(constB10, bitIndex1)) | (~v100(constB10)))),
% 23.91/15.72 inference(rewrite,[status(thm)],[])).
% 23.91/15.72 tff(2579,plain,
% 23.91/15.72 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB10, bitIndex1) | (~v100(constB10)) | (~v129(constB10, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB10, bitIndex1) | (~v129(constB10, bitIndex1)) | (~v100(constB10))))),
% 23.91/15.72 inference(monotonicity,[status(thm)],[2578])).
% 23.91/15.72 tff(2580,plain,
% 23.91/15.72 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB10, bitIndex1) | (~v100(constB10)) | (~v129(constB10, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB10, bitIndex1) | (~v129(constB10, bitIndex1)) | (~v100(constB10)))),
% 23.91/15.72 inference(transitivity,[status(thm)],[2579, 2577])).
% 23.91/15.72 tff(2581,plain,
% 23.91/15.72 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB10, bitIndex1) | (~v100(constB10)) | (~v129(constB10, bitIndex1)))),
% 23.91/15.72 inference(quant_inst,[status(thm)],[])).
% 23.91/15.72 tff(2582,plain,
% 23.91/15.72 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB10, bitIndex1) | (~v129(constB10, bitIndex1)) | (~v100(constB10))),
% 23.91/15.72 inference(modus_ponens,[status(thm)],[2581, 2580])).
% 23.91/15.72 tff(2583,plain,
% 23.91/15.72 (v90(constB10, bitIndex1) | (~v129(constB10, bitIndex1))),
% 23.91/15.72 inference(unit_resolution,[status(thm)],[2582, 1583, 2523])).
% 24.01/15.72 tff(2584,plain,
% 24.01/15.72 (v90(constB10, bitIndex1)),
% 24.01/15.72 inference(unit_resolution,[status(thm)],[2583, 2576])).
% 24.01/15.72 tff(2585,plain,
% 24.01/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex1))),
% 24.01/15.72 inference(rewrite,[status(thm)],[])).
% 24.01/15.72 tff(2586,plain,
% 24.01/15.72 (((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex1)) | v100(constB11) | v90(constB11, bitIndex1)) <=> ((~v90(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex1))),
% 24.01/15.72 inference(rewrite,[status(thm)],[])).
% 24.01/15.72 tff(2587,plain,
% 24.01/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex1)) | v100(constB11) | v90(constB11, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex1)))),
% 24.01/15.72 inference(monotonicity,[status(thm)],[2586])).
% 24.01/15.72 tff(2588,plain,
% 24.01/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex1)) | v100(constB11) | v90(constB11, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex1))),
% 24.01/15.72 inference(transitivity,[status(thm)],[2587, 2585])).
% 24.01/15.72 tff(2589,plain,
% 24.01/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex1)) | v100(constB11) | v90(constB11, bitIndex1))),
% 24.01/15.72 inference(quant_inst,[status(thm)],[])).
% 24.01/15.72 tff(2590,plain,
% 24.01/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex1)),
% 24.01/15.72 inference(modus_ponens,[status(thm)],[2589, 2588])).
% 24.01/15.72 tff(2591,plain,
% 24.01/15.72 ((~v90(constB10, bitIndex1)) | v100(constB11) | v90(constB11, bitIndex1)),
% 24.01/15.72 inference(unit_resolution,[status(thm)],[2590, 1601, 2534])).
% 24.01/15.72 tff(2592,plain,
% 24.01/15.72 ((~v90(constB10, bitIndex1)) | v90(constB11, bitIndex1)),
% 24.01/15.72 inference(unit_resolution,[status(thm)],[2591, 2546])).
% 24.01/15.72 tff(2593,plain,
% 24.01/15.72 (v90(constB11, bitIndex1)),
% 24.01/15.72 inference(unit_resolution,[status(thm)],[2592, 2584])).
% 24.01/15.72 tff(2594,plain,
% 24.01/15.72 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 24.01/15.72 inference(bind,[status(th)],[])).
% 24.01/15.72 tff(2595,plain,
% 24.01/15.72 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 24.01/15.72 inference(quant_intro,[status(thm)],[2594])).
% 24.01/15.72 tff(2596,plain,
% 24.01/15.72 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 24.01/15.72 inference(rewrite,[status(thm)],[])).
% 24.01/15.72 tff(2597,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_3_1')).
% 24.01/15.72 tff(2598,plain,
% 24.01/15.72 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 24.01/15.72 inference(modus_ponens,[status(thm)],[2597, 2596])).
% 24.01/15.72 tff(2599,plain,(
% 24.01/15.72 ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 24.01/15.72 inference(skolemize,[status(sab)],[2598])).
% 24.01/15.72 tff(2600,plain,
% 24.01/15.72 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 24.01/15.72 inference(modus_ponens,[status(thm)],[2599, 2595])).
% 24.01/15.72 tff(2601,plain,
% 24.01/15.72 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB9)) | v130(constB9, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB9)) | v130(constB9, bitIndex0))),
% 24.01/15.72 inference(rewrite,[status(thm)],[])).
% 24.01/15.72 tff(2602,plain,
% 24.01/15.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB9)) | v130(constB9, bitIndex0))),
% 24.01/15.72 inference(quant_inst,[status(thm)],[])).
% 24.01/15.72 tff(2603,plain,
% 24.01/15.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB9)) | v130(constB9, bitIndex0)),
% 24.01/15.72 inference(modus_ponens,[status(thm)],[2602, 2601])).
% 24.01/15.72 tff(2604,plain,
% 24.01/15.72 (v130(constB9, bitIndex0)),
% 24.01/15.72 inference(unit_resolution,[status(thm)],[2603, 2600, 2399])).
% 24.01/15.72 tff(2605,plain,
% 24.01/15.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0))),
% 24.01/15.72 inference(rewrite,[status(thm)],[])).
% 24.01/15.72 tff(2606,plain,
% 24.01/15.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0))),
% 24.01/15.72 inference(quant_inst,[status(thm)],[])).
% 24.01/15.72 tff(2607,plain,
% 24.01/15.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0)),
% 24.01/15.72 inference(modus_ponens,[status(thm)],[2606, 2605])).
% 24.01/15.72 tff(2608,plain,
% 24.01/15.72 (v26(constB9) | v127(constB9, bitIndex0)),
% 24.01/15.72 inference(unit_resolution,[status(thm)],[2607, 1945, 2604])).
% 24.01/15.72 tff(2609,plain,
% 24.01/15.72 (v127(constB9, bitIndex0)),
% 24.01/15.72 inference(unit_resolution,[status(thm)],[2608, 832])).
% 24.01/15.72 tff(2610,plain,
% 24.01/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0))),
% 24.01/15.72 inference(rewrite,[status(thm)],[])).
% 24.01/15.72 tff(2611,plain,
% 24.01/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0))),
% 24.01/15.72 inference(quant_inst,[status(thm)],[])).
% 24.01/15.72 tff(2612,plain,
% 24.01/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0)),
% 24.01/15.72 inference(modus_ponens,[status(thm)],[2611, 2610])).
% 24.01/15.72 tff(2613,plain,
% 24.01/15.72 ((~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0)),
% 24.01/15.72 inference(unit_resolution,[status(thm)],[2612, 1960, 2421])).
% 24.01/15.72 tff(2614,plain,
% 24.01/15.72 (v129(constB10, bitIndex0)),
% 24.01/15.72 inference(unit_resolution,[status(thm)],[2613, 2609])).
% 24.01/15.72 tff(2615,plain,
% 24.01/15.72 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2616,plain,
% 24.01/15.73 ((v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0))) <=> (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2617,plain,
% 24.01/15.73 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10))))),
% 24.01/15.73 inference(monotonicity,[status(thm)],[2616])).
% 24.01/15.73 tff(2618,plain,
% 24.01/15.73 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))),
% 24.01/15.73 inference(transitivity,[status(thm)],[2617, 2615])).
% 24.01/15.73 tff(2619,plain,
% 24.01/15.73 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0)))),
% 24.01/15.73 inference(quant_inst,[status(thm)],[])).
% 24.01/15.73 tff(2620,plain,
% 24.01/15.73 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10))),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2619, 2618])).
% 24.01/15.73 tff(2621,plain,
% 24.01/15.73 (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0))),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2620, 1975, 2523])).
% 24.01/15.73 tff(2622,plain,
% 24.01/15.73 (v90(constB10, bitIndex0)),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2621, 2614])).
% 24.01/15.73 tff(2623,plain,
% 24.01/15.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2624,plain,
% 24.01/15.73 (((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0)) <=> ((~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2625,plain,
% 24.01/15.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0)))),
% 24.01/15.73 inference(monotonicity,[status(thm)],[2624])).
% 24.01/15.73 tff(2626,plain,
% 24.01/15.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))),
% 24.01/15.73 inference(transitivity,[status(thm)],[2625, 2623])).
% 24.01/15.73 tff(2627,plain,
% 24.01/15.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0))),
% 24.01/15.73 inference(quant_inst,[status(thm)],[])).
% 24.01/15.73 tff(2628,plain,
% 24.01/15.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0)),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2627, 2626])).
% 24.01/15.73 tff(2629,plain,
% 24.01/15.73 ((~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0)),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2628, 1993, 2534])).
% 24.01/15.73 tff(2630,plain,
% 24.01/15.73 ((~v90(constB10, bitIndex0)) | v90(constB11, bitIndex0)),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2629, 2546])).
% 24.01/15.73 tff(2631,plain,
% 24.01/15.73 (v90(constB11, bitIndex0)),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2630, 2622])).
% 24.01/15.73 tff(2632,plain,
% 24.01/15.73 (^[VarCurr: state_type] : refl(((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)))),
% 24.01/15.73 inference(bind,[status(th)],[])).
% 24.01/15.73 tff(2633,plain,
% 24.01/15.73 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 24.01/15.73 inference(quant_intro,[status(thm)],[2632])).
% 24.01/15.73 tff(2634,plain,
% 24.01/15.73 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2635,plain,
% 24.01/15.73 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex2))), (((v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex1))) <=> (((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex1))))), rewrite((((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex1))) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2))), (((v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex1))) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)))), ((((v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex1))) | v122(VarCurr)) <=> (((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) | v122(VarCurr)))), rewrite((((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) | v122(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))), ((((v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex1))) | v122(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))))),
% 24.01/15.73 inference(bind,[status(th)],[])).
% 24.01/15.73 tff(2636,plain,
% 24.01/15.73 (![VarCurr: state_type] : (((v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex1))) | v122(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 24.01/15.73 inference(quant_intro,[status(thm)],[2635])).
% 24.01/15.73 tff(2637,axiom,(![VarCurr: state_type] : (((v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex1))) | v122(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_1')).
% 24.01/15.73 tff(2638,plain,
% 24.01/15.73 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2637, 2636])).
% 24.01/15.73 tff(2639,plain,
% 24.01/15.73 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2638, 2634])).
% 24.01/15.73 tff(2640,plain,(
% 24.01/15.73 ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 24.01/15.73 inference(skolemize,[status(sab)],[2639])).
% 24.01/15.73 tff(2641,plain,
% 24.01/15.73 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2640, 2633])).
% 24.01/15.73 tff(2642,plain,
% 24.01/15.73 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex1)) | v90(constB11, bitIndex2) | v122(constB11))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex1)) | v90(constB11, bitIndex2) | v122(constB11))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2643,plain,
% 24.01/15.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex1)) | v90(constB11, bitIndex2) | v122(constB11))),
% 24.01/15.73 inference(quant_inst,[status(thm)],[])).
% 24.01/15.73 tff(2644,plain,
% 24.01/15.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex1)) | v90(constB11, bitIndex2) | v122(constB11)),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2643, 2642])).
% 24.01/15.73 tff(2645,plain,
% 24.01/15.73 (v122(constB11)),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2644, 2641, 2631, 2593, 2555])).
% 24.01/15.73 tff(2646,plain,
% 24.01/15.73 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v116(VarCurr)) <=> ((~v122(VarCurr)) | v116(VarCurr)))),
% 24.01/15.73 inference(bind,[status(th)],[])).
% 24.01/15.73 tff(2647,plain,
% 24.01/15.73 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 24.01/15.73 inference(quant_intro,[status(thm)],[2646])).
% 24.01/15.73 tff(2648,plain,
% 24.01/15.73 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2649,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_1')).
% 24.01/15.73 tff(2650,plain,
% 24.01/15.73 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2649, 2648])).
% 24.01/15.73 tff(2651,plain,(
% 24.01/15.73 ![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 24.01/15.73 inference(skolemize,[status(sab)],[2650])).
% 24.01/15.73 tff(2652,plain,
% 24.01/15.73 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2651, 2647])).
% 24.01/15.73 tff(2653,plain,
% 24.01/15.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB11) | (~v122(constB11)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB11) | (~v122(constB11)))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2654,plain,
% 24.01/15.73 (((~v122(constB11)) | v116(constB11)) <=> (v116(constB11) | (~v122(constB11)))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2655,plain,
% 24.01/15.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB11)) | v116(constB11))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB11) | (~v122(constB11))))),
% 24.01/15.73 inference(monotonicity,[status(thm)],[2654])).
% 24.01/15.73 tff(2656,plain,
% 24.01/15.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB11)) | v116(constB11))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB11) | (~v122(constB11)))),
% 24.01/15.73 inference(transitivity,[status(thm)],[2655, 2653])).
% 24.01/15.73 tff(2657,plain,
% 24.01/15.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB11)) | v116(constB11))),
% 24.01/15.73 inference(quant_inst,[status(thm)],[])).
% 24.01/15.73 tff(2658,plain,
% 24.01/15.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB11) | (~v122(constB11))),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2657, 2656])).
% 24.01/15.73 tff(2659,plain,
% 24.01/15.73 (v116(constB11)),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2658, 2652, 2645])).
% 24.01/15.73 tff(2660,plain,
% 24.01/15.73 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB11) | (~v116(constB11)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB11) | (~v116(constB11)))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2661,plain,
% 24.01/15.73 (((~v116(constB11)) | v115(constB11)) <=> (v115(constB11) | (~v116(constB11)))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2662,plain,
% 24.01/15.73 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB11)) | v115(constB11))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB11) | (~v116(constB11))))),
% 24.01/15.73 inference(monotonicity,[status(thm)],[2661])).
% 24.01/15.73 tff(2663,plain,
% 24.01/15.73 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB11)) | v115(constB11))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB11) | (~v116(constB11)))),
% 24.01/15.73 inference(transitivity,[status(thm)],[2662, 2660])).
% 24.01/15.73 tff(2664,plain,
% 24.01/15.73 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB11)) | v115(constB11))),
% 24.01/15.73 inference(quant_inst,[status(thm)],[])).
% 24.01/15.73 tff(2665,plain,
% 24.01/15.73 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB11) | (~v116(constB11))),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2664, 2663])).
% 24.01/15.73 tff(2666,plain,
% 24.01/15.73 (v115(constB11)),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2665, 1008, 2659])).
% 24.01/15.73 tff(2667,plain,
% 24.01/15.73 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB11) | (~v115(constB11)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB11) | (~v115(constB11)))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2668,plain,
% 24.01/15.73 (((~v115(constB11)) | v114(constB11)) <=> (v114(constB11) | (~v115(constB11)))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2669,plain,
% 24.01/15.73 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB11)) | v114(constB11))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB11) | (~v115(constB11))))),
% 24.01/15.73 inference(monotonicity,[status(thm)],[2668])).
% 24.01/15.73 tff(2670,plain,
% 24.01/15.73 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB11)) | v114(constB11))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB11) | (~v115(constB11)))),
% 24.01/15.73 inference(transitivity,[status(thm)],[2669, 2667])).
% 24.01/15.73 tff(2671,plain,
% 24.01/15.73 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB11)) | v114(constB11))),
% 24.01/15.73 inference(quant_inst,[status(thm)],[])).
% 24.01/15.73 tff(2672,plain,
% 24.01/15.73 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB11) | (~v115(constB11))),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2671, 2670])).
% 24.01/15.73 tff(2673,plain,
% 24.01/15.73 (v114(constB11)),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2672, 1022, 2666])).
% 24.01/15.73 tff(2674,plain,
% 24.01/15.73 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB11) | (~v114(constB11)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB11) | (~v114(constB11)))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2675,plain,
% 24.01/15.73 (((~v114(constB11)) | v113(constB11)) <=> (v113(constB11) | (~v114(constB11)))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2676,plain,
% 24.01/15.73 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB11)) | v113(constB11))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB11) | (~v114(constB11))))),
% 24.01/15.73 inference(monotonicity,[status(thm)],[2675])).
% 24.01/15.73 tff(2677,plain,
% 24.01/15.73 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB11)) | v113(constB11))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB11) | (~v114(constB11)))),
% 24.01/15.73 inference(transitivity,[status(thm)],[2676, 2674])).
% 24.01/15.73 tff(2678,plain,
% 24.01/15.73 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB11)) | v113(constB11))),
% 24.01/15.73 inference(quant_inst,[status(thm)],[])).
% 24.01/15.73 tff(2679,plain,
% 24.01/15.73 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB11) | (~v114(constB11))),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2678, 2677])).
% 24.01/15.73 tff(2680,plain,
% 24.01/15.73 (v113(constB11)),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2679, 1036, 2673])).
% 24.01/15.73 tff(2681,plain,
% 24.01/15.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | v112(constB11) | (~v113(constB11)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | v112(constB11) | (~v113(constB11)))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2682,plain,
% 24.01/15.73 ((v26(constB11) | (~v113(constB11)) | v112(constB11)) <=> (v26(constB11) | v112(constB11) | (~v113(constB11)))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2683,plain,
% 24.01/15.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | v112(constB11) | (~v113(constB11))))),
% 24.01/15.73 inference(monotonicity,[status(thm)],[2682])).
% 24.01/15.73 tff(2684,plain,
% 24.01/15.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | v112(constB11) | (~v113(constB11)))),
% 24.01/15.73 inference(transitivity,[status(thm)],[2683, 2681])).
% 24.01/15.73 tff(2685,plain,
% 24.01/15.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))),
% 24.01/15.73 inference(quant_inst,[status(thm)],[])).
% 24.01/15.73 tff(2686,plain,
% 24.01/15.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | v112(constB11) | (~v113(constB11))),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2685, 2684])).
% 24.01/15.73 tff(2687,plain,
% 24.01/15.73 (v26(constB11) | v112(constB11)),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2686, 1050, 2680])).
% 24.01/15.73 tff(2688,plain,
% 24.01/15.73 (v112(constB11)),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2687, 828])).
% 24.01/15.73 tff(2689,plain,
% 24.01/15.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB11) | (~v112(constB11)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v112(constB11)))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2690,plain,
% 24.01/15.73 (((~v112(constB11)) | v108(constB11)) <=> (v108(constB11) | (~v112(constB11)))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2691,plain,
% 24.01/15.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB11)) | v108(constB11))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB11) | (~v112(constB11))))),
% 24.01/15.73 inference(monotonicity,[status(thm)],[2690])).
% 24.01/15.73 tff(2692,plain,
% 24.01/15.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB11)) | v108(constB11))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v112(constB11)))),
% 24.01/15.73 inference(transitivity,[status(thm)],[2691, 2689])).
% 24.01/15.73 tff(2693,plain,
% 24.01/15.73 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB11)) | v108(constB11))),
% 24.01/15.73 inference(quant_inst,[status(thm)],[])).
% 24.01/15.73 tff(2694,plain,
% 24.01/15.73 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v112(constB11))),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2693, 2692])).
% 24.01/15.73 tff(2695,plain,
% 24.01/15.73 (v108(constB11)),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2694, 1062, 2688])).
% 24.01/15.73 tff(2696,plain,
% 24.01/15.73 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2697,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_11_1')).
% 24.01/15.73 tff(2698,plain,
% 24.01/15.73 (nextState(constB11, constB12)),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2697, 2696])).
% 24.01/15.73 tff(2699,plain,
% 24.01/15.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2700,plain,
% 24.01/15.73 (((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12)) <=> ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2701,plain,
% 24.01/15.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11))))),
% 24.01/15.73 inference(monotonicity,[status(thm)],[2700])).
% 24.01/15.73 tff(2702,plain,
% 24.01/15.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 24.01/15.73 inference(transitivity,[status(thm)],[2701, 2699])).
% 24.01/15.73 tff(2703,plain,
% 24.01/15.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))),
% 24.01/15.73 inference(quant_inst,[status(thm)],[])).
% 24.01/15.73 tff(2704,plain,
% 24.01/15.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11))),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2703, 2702])).
% 24.01/15.73 tff(2705,plain,
% 24.01/15.73 (v110(constB12) | (~v108(constB11))),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2704, 1082, 2698])).
% 24.01/15.73 tff(2706,plain,
% 24.01/15.73 (v110(constB12)),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2705, 2695])).
% 24.01/15.73 tff(2707,plain,
% 24.01/15.73 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2708,plain,
% 24.01/15.73 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))),
% 24.01/15.73 inference(quant_inst,[status(thm)],[])).
% 24.01/15.73 tff(2709,plain,
% 24.01/15.73 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12))),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2708, 2707])).
% 24.01/15.73 tff(2710,plain,
% 24.01/15.73 (~v104(constB12)),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2709, 1100, 2698, 2531])).
% 24.01/15.73 tff(2711,plain,
% 24.01/15.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2712,plain,
% 24.01/15.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))),
% 24.01/15.73 inference(quant_inst,[status(thm)],[])).
% 24.01/15.73 tff(2713,plain,
% 24.01/15.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v102(constB12) | v104(constB12)),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2712, 2711])).
% 24.01/15.73 tff(2714,plain,
% 24.01/15.73 (v102(constB12) | v104(constB12)),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2713, 1114, 2698])).
% 24.01/15.73 tff(2715,plain,
% 24.01/15.73 (v102(constB12)),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2714, 2710])).
% 24.01/15.73 tff(2716,plain,
% 24.01/15.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2717,plain,
% 24.01/15.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))),
% 24.01/15.73 inference(quant_inst,[status(thm)],[])).
% 24.01/15.73 tff(2718,plain,
% 24.01/15.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12))),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2717, 2716])).
% 24.01/15.73 tff(2719,plain,
% 24.01/15.73 (v101(constB12) | (~v102(constB12))),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2718, 1129, 2698, 97])).
% 24.01/15.73 tff(2720,plain,
% 24.01/15.73 (v101(constB12)),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2719, 2715])).
% 24.01/15.73 tff(2721,plain,
% 24.01/15.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2722,plain,
% 24.01/15.73 (((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12)) <=> ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2723,plain,
% 24.01/15.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12))))),
% 24.01/15.73 inference(monotonicity,[status(thm)],[2722])).
% 24.01/15.73 tff(2724,plain,
% 24.01/15.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 24.01/15.73 inference(transitivity,[status(thm)],[2723, 2721])).
% 24.01/15.73 tff(2725,plain,
% 24.01/15.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))),
% 24.01/15.73 inference(quant_inst,[status(thm)],[])).
% 24.01/15.73 tff(2726,plain,
% 24.01/15.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2725, 2724])).
% 24.01/15.73 tff(2727,plain,
% 24.01/15.73 (v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2726, 1144, 2698])).
% 24.01/15.73 tff(2728,plain,
% 24.01/15.73 (v100(constB12) | (~v110(constB12))),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2727, 2720])).
% 24.01/15.73 tff(2729,plain,
% 24.01/15.73 (v100(constB12)),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2728, 2706])).
% 24.01/15.73 tff(2730,plain,
% 24.01/15.73 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 24.01/15.73 inference(bind,[status(th)],[])).
% 24.01/15.73 tff(2731,plain,
% 24.01/15.73 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 24.01/15.73 inference(quant_intro,[status(thm)],[2730])).
% 24.01/15.73 tff(2732,plain,
% 24.01/15.73 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2733,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_3')).
% 24.01/15.73 tff(2734,plain,
% 24.01/15.73 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2733, 2732])).
% 24.01/15.73 tff(2735,plain,(
% 24.01/15.73 ![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 24.01/15.73 inference(skolemize,[status(sab)],[2734])).
% 24.01/15.73 tff(2736,plain,
% 24.01/15.73 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2735, 2731])).
% 24.01/15.73 tff(2737,plain,
% 24.01/15.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB11)) | v130(constB11, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB11)) | v130(constB11, bitIndex2))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2738,plain,
% 24.01/15.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB11)) | v130(constB11, bitIndex2))),
% 24.01/15.73 inference(quant_inst,[status(thm)],[])).
% 24.01/15.73 tff(2739,plain,
% 24.01/15.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB11)) | v130(constB11, bitIndex2)),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2738, 2737])).
% 24.01/15.73 tff(2740,plain,
% 24.01/15.73 (v130(constB11, bitIndex2)),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2739, 2736, 2645])).
% 24.01/15.73 tff(2741,plain,
% 24.01/15.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2742,plain,
% 24.01/15.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2))),
% 24.01/15.73 inference(quant_inst,[status(thm)],[])).
% 24.01/15.73 tff(2743,plain,
% 24.01/15.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2)),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2742, 2741])).
% 24.01/15.73 tff(2744,plain,
% 24.01/15.73 (v26(constB11) | v127(constB11, bitIndex2)),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2743, 1174, 2740])).
% 24.01/15.73 tff(2745,plain,
% 24.01/15.73 (v127(constB11, bitIndex2)),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2744, 828])).
% 24.01/15.73 tff(2746,plain,
% 24.01/15.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2747,plain,
% 24.01/15.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2))),
% 24.01/15.73 inference(quant_inst,[status(thm)],[])).
% 24.01/15.73 tff(2748,plain,
% 24.01/15.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2)),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2747, 2746])).
% 24.01/15.73 tff(2749,plain,
% 24.01/15.73 ((~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2)),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2748, 1189, 2698])).
% 24.01/15.73 tff(2750,plain,
% 24.01/15.73 (v129(constB12, bitIndex2)),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2749, 2745])).
% 24.01/15.73 tff(2751,plain,
% 24.01/15.73 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2752,plain,
% 24.01/15.73 ((v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2))) <=> (v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2753,plain,
% 24.01/15.73 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12))))),
% 24.01/15.73 inference(monotonicity,[status(thm)],[2752])).
% 24.01/15.73 tff(2754,plain,
% 24.01/15.73 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))),
% 24.01/15.73 inference(transitivity,[status(thm)],[2753, 2751])).
% 24.01/15.73 tff(2755,plain,
% 24.01/15.73 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2)))),
% 24.01/15.73 inference(quant_inst,[status(thm)],[])).
% 24.01/15.73 tff(2756,plain,
% 24.01/15.73 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12))),
% 24.01/15.73 inference(modus_ponens,[status(thm)],[2755, 2754])).
% 24.01/15.73 tff(2757,plain,
% 24.01/15.73 (v90(constB12, bitIndex2) | (~v100(constB12))),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2756, 1204, 2750])).
% 24.01/15.73 tff(2758,plain,
% 24.01/15.73 (v90(constB12, bitIndex2)),
% 24.01/15.73 inference(unit_resolution,[status(thm)],[2757, 2729])).
% 24.01/15.73 tff(2759,plain,
% 24.01/15.73 ((~v1(constB13)) <=> (~v1(constB13))),
% 24.01/15.73 inference(rewrite,[status(thm)],[])).
% 24.01/15.73 tff(2760,axiom,(~v1(constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_13_1_1')).
% 24.01/15.74 tff(2761,plain,
% 24.01/15.74 (~v1(constB13)),
% 24.01/15.74 inference(modus_ponens,[status(thm)],[2760, 2759])).
% 24.01/15.74 tff(2762,plain,
% 24.01/15.74 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2763,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_12_1')).
% 24.01/15.74 tff(2764,plain,
% 24.01/15.74 (nextState(constB12, constB13)),
% 24.01/15.74 inference(modus_ponens,[status(thm)],[2763, 2762])).
% 24.01/15.74 tff(2765,plain,
% 24.01/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2766,plain,
% 24.01/15.74 (((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13)) <=> (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2767,plain,
% 24.01/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13))))),
% 24.01/15.74 inference(monotonicity,[status(thm)],[2766])).
% 24.01/15.74 tff(2768,plain,
% 24.01/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 24.01/15.74 inference(transitivity,[status(thm)],[2767, 2765])).
% 24.01/15.74 tff(2769,plain,
% 24.01/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))),
% 24.01/15.74 inference(quant_inst,[status(thm)],[])).
% 24.01/15.74 tff(2770,plain,
% 24.01/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13))),
% 24.01/15.74 inference(modus_ponens,[status(thm)],[2769, 2768])).
% 24.01/15.74 tff(2771,plain,
% 24.01/15.74 (~v101(constB13)),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2770, 860, 2764, 2761])).
% 24.01/15.74 tff(2772,plain,
% 24.01/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2773,plain,
% 24.01/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))),
% 24.01/15.74 inference(quant_inst,[status(thm)],[])).
% 24.01/15.74 tff(2774,plain,
% 24.01/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13))),
% 24.01/15.74 inference(modus_ponens,[status(thm)],[2773, 2772])).
% 24.01/15.74 tff(2775,plain,
% 24.01/15.74 (v101(constB13) | (~v100(constB13))),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2774, 877, 2764])).
% 24.01/15.74 tff(2776,plain,
% 24.01/15.74 (~v100(constB13)),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2775, 2771])).
% 24.01/15.74 tff(2777,plain,
% 24.01/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2778,plain,
% 24.01/15.74 (((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2)) <=> ((~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2779,plain,
% 24.01/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2)))),
% 24.01/15.74 inference(monotonicity,[status(thm)],[2778])).
% 24.01/15.74 tff(2780,plain,
% 24.01/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))),
% 24.01/15.74 inference(transitivity,[status(thm)],[2779, 2777])).
% 24.01/15.74 tff(2781,plain,
% 24.01/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2))),
% 24.01/15.74 inference(quant_inst,[status(thm)],[])).
% 24.01/15.74 tff(2782,plain,
% 24.01/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2)),
% 24.01/15.74 inference(modus_ponens,[status(thm)],[2781, 2780])).
% 24.01/15.74 tff(2783,plain,
% 24.01/15.74 ((~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2)),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2782, 1240, 2764])).
% 24.01/15.74 tff(2784,plain,
% 24.01/15.74 ((~v90(constB12, bitIndex2)) | v90(constB13, bitIndex2)),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2783, 2776])).
% 24.01/15.74 tff(2785,plain,
% 24.01/15.74 (v90(constB13, bitIndex2)),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2784, 2758])).
% 24.01/15.74 tff(2786,plain,
% 24.01/15.74 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 24.01/15.74 inference(bind,[status(th)],[])).
% 24.01/15.74 tff(2787,plain,
% 24.01/15.74 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 24.01/15.74 inference(quant_intro,[status(thm)],[2786])).
% 24.01/15.74 tff(2788,plain,
% 24.01/15.74 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2789,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_2')).
% 24.01/15.74 tff(2790,plain,
% 24.01/15.74 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 24.01/15.74 inference(modus_ponens,[status(thm)],[2789, 2788])).
% 24.01/15.74 tff(2791,plain,(
% 24.01/15.74 ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 24.01/15.74 inference(skolemize,[status(sab)],[2790])).
% 24.01/15.74 tff(2792,plain,
% 24.01/15.74 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 24.01/15.74 inference(modus_ponens,[status(thm)],[2791, 2787])).
% 24.01/15.74 tff(2793,plain,
% 24.01/15.74 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB11)) | (~v130(constB11, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB11)) | (~v130(constB11, bitIndex1)))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2794,plain,
% 24.01/15.74 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB11)) | (~v130(constB11, bitIndex1)))),
% 24.01/15.74 inference(quant_inst,[status(thm)],[])).
% 24.01/15.74 tff(2795,plain,
% 24.01/15.74 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB11)) | (~v130(constB11, bitIndex1))),
% 24.01/15.74 inference(modus_ponens,[status(thm)],[2794, 2793])).
% 24.01/15.74 tff(2796,plain,
% 24.01/15.74 (~v130(constB11, bitIndex1)),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2795, 2792, 2645])).
% 24.01/15.74 tff(2797,plain,
% 24.01/15.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2798,plain,
% 24.01/15.74 ((v26(constB11) | v130(constB11, bitIndex1) | (~v127(constB11, bitIndex1))) <=> ((~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2799,plain,
% 24.01/15.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB11) | v130(constB11, bitIndex1) | (~v127(constB11, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1)))),
% 24.01/15.74 inference(monotonicity,[status(thm)],[2798])).
% 24.01/15.74 tff(2800,plain,
% 24.01/15.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB11) | v130(constB11, bitIndex1) | (~v127(constB11, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1))),
% 24.01/15.74 inference(transitivity,[status(thm)],[2799, 2797])).
% 24.01/15.74 tff(2801,plain,
% 24.01/15.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB11) | v130(constB11, bitIndex1) | (~v127(constB11, bitIndex1)))),
% 24.01/15.74 inference(quant_inst,[status(thm)],[])).
% 24.01/15.74 tff(2802,plain,
% 24.01/15.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1)),
% 24.01/15.74 inference(modus_ponens,[status(thm)],[2801, 2800])).
% 24.01/15.74 tff(2803,plain,
% 24.01/15.74 ((~v127(constB11, bitIndex1)) | v26(constB11)),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2802, 1270, 2796])).
% 24.01/15.74 tff(2804,plain,
% 24.01/15.74 (~v127(constB11, bitIndex1)),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2803, 828])).
% 24.01/15.74 tff(2805,plain,
% 24.01/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex1) | (~v129(constB12, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex1) | (~v129(constB12, bitIndex1)))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2806,plain,
% 24.01/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex1) | (~v129(constB12, bitIndex1)))),
% 24.01/15.74 inference(quant_inst,[status(thm)],[])).
% 24.01/15.74 tff(2807,plain,
% 24.01/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex1) | (~v129(constB12, bitIndex1))),
% 24.01/15.74 inference(modus_ponens,[status(thm)],[2806, 2805])).
% 24.01/15.74 tff(2808,plain,
% 24.01/15.74 (v127(constB11, bitIndex1) | (~v129(constB12, bitIndex1))),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2807, 1288, 2698])).
% 24.01/15.74 tff(2809,plain,
% 24.01/15.74 (~v129(constB12, bitIndex1)),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2808, 2804])).
% 24.01/15.74 tff(2810,plain,
% 24.01/15.74 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12)))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2811,plain,
% 24.01/15.74 (((~v90(constB12, bitIndex1)) | (~v100(constB12)) | v129(constB12, bitIndex1)) <=> ((~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12)))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2812,plain,
% 24.01/15.74 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | (~v100(constB12)) | v129(constB12, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12))))),
% 24.01/15.74 inference(monotonicity,[status(thm)],[2811])).
% 24.01/15.74 tff(2813,plain,
% 24.01/15.74 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | (~v100(constB12)) | v129(constB12, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12)))),
% 24.01/15.74 inference(transitivity,[status(thm)],[2812, 2810])).
% 24.01/15.74 tff(2814,plain,
% 24.01/15.74 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | (~v100(constB12)) | v129(constB12, bitIndex1))),
% 24.01/15.74 inference(quant_inst,[status(thm)],[])).
% 24.01/15.74 tff(2815,plain,
% 24.01/15.74 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12))),
% 24.01/15.74 inference(modus_ponens,[status(thm)],[2814, 2813])).
% 24.01/15.74 tff(2816,plain,
% 24.01/15.74 ((~v90(constB12, bitIndex1)) | (~v100(constB12))),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2815, 1303, 2809])).
% 24.01/15.74 tff(2817,plain,
% 24.01/15.74 (~v90(constB12, bitIndex1)),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2816, 2729])).
% 24.01/15.74 tff(2818,plain,
% 24.01/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex1)))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2819,plain,
% 24.01/15.74 (((~nextState(constB12, constB13)) | v90(constB12, bitIndex1) | v100(constB13) | (~v90(constB13, bitIndex1))) <=> (v90(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex1)))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2820,plain,
% 24.01/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex1) | v100(constB13) | (~v90(constB13, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex1))))),
% 24.01/15.74 inference(monotonicity,[status(thm)],[2819])).
% 24.01/15.74 tff(2821,plain,
% 24.01/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex1) | v100(constB13) | (~v90(constB13, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex1)))),
% 24.01/15.74 inference(transitivity,[status(thm)],[2820, 2818])).
% 24.01/15.74 tff(2822,plain,
% 24.01/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex1) | v100(constB13) | (~v90(constB13, bitIndex1)))),
% 24.01/15.74 inference(quant_inst,[status(thm)],[])).
% 24.01/15.74 tff(2823,plain,
% 24.01/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex1))),
% 24.01/15.74 inference(modus_ponens,[status(thm)],[2822, 2821])).
% 24.01/15.74 tff(2824,plain,
% 24.01/15.74 (v90(constB12, bitIndex1) | v100(constB13) | (~v90(constB13, bitIndex1))),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2823, 913, 2764])).
% 24.01/15.74 tff(2825,plain,
% 24.01/15.74 (v90(constB12, bitIndex1) | (~v90(constB13, bitIndex1))),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2824, 2776])).
% 24.01/15.74 tff(2826,plain,
% 24.01/15.74 (~v90(constB13, bitIndex1)),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2825, 2817])).
% 24.01/15.74 tff(2827,plain,
% 24.01/15.74 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 24.01/15.74 inference(bind,[status(th)],[])).
% 24.01/15.74 tff(2828,plain,
% 24.01/15.74 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 24.01/15.74 inference(quant_intro,[status(thm)],[2827])).
% 24.01/15.74 tff(2829,plain,
% 24.01/15.74 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2830,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_1')).
% 24.01/15.74 tff(2831,plain,
% 24.01/15.74 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 24.01/15.74 inference(modus_ponens,[status(thm)],[2830, 2829])).
% 24.01/15.74 tff(2832,plain,(
% 24.01/15.74 ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 24.01/15.74 inference(skolemize,[status(sab)],[2831])).
% 24.01/15.74 tff(2833,plain,
% 24.01/15.74 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 24.01/15.74 inference(modus_ponens,[status(thm)],[2832, 2828])).
% 24.01/15.74 tff(2834,plain,
% 24.01/15.74 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB11)) | (~v130(constB11, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB11)) | (~v130(constB11, bitIndex0)))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2835,plain,
% 24.01/15.74 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB11)) | (~v130(constB11, bitIndex0)))),
% 24.01/15.74 inference(quant_inst,[status(thm)],[])).
% 24.01/15.74 tff(2836,plain,
% 24.01/15.74 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB11)) | (~v130(constB11, bitIndex0))),
% 24.01/15.74 inference(modus_ponens,[status(thm)],[2835, 2834])).
% 24.01/15.74 tff(2837,plain,
% 24.01/15.74 (~v130(constB11, bitIndex0)),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2836, 2833, 2645])).
% 24.01/15.74 tff(2838,plain,
% 24.01/15.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2839,plain,
% 24.01/15.74 ((v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0))) <=> ((~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2840,plain,
% 24.01/15.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0)))),
% 24.01/15.74 inference(monotonicity,[status(thm)],[2839])).
% 24.01/15.74 tff(2841,plain,
% 24.01/15.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))),
% 24.01/15.74 inference(transitivity,[status(thm)],[2840, 2838])).
% 24.01/15.74 tff(2842,plain,
% 24.01/15.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0)))),
% 24.01/15.74 inference(quant_inst,[status(thm)],[])).
% 24.01/15.74 tff(2843,plain,
% 24.01/15.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0)),
% 24.01/15.74 inference(modus_ponens,[status(thm)],[2842, 2841])).
% 24.01/15.74 tff(2844,plain,
% 24.01/15.74 ((~v127(constB11, bitIndex0)) | v26(constB11)),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2843, 1341, 2837])).
% 24.01/15.74 tff(2845,plain,
% 24.01/15.74 (~v127(constB11, bitIndex0)),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2844, 828])).
% 24.01/15.74 tff(2846,plain,
% 24.01/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0)))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2847,plain,
% 24.01/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0)))),
% 24.01/15.74 inference(quant_inst,[status(thm)],[])).
% 24.01/15.74 tff(2848,plain,
% 24.01/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0))),
% 24.01/15.74 inference(modus_ponens,[status(thm)],[2847, 2846])).
% 24.01/15.74 tff(2849,plain,
% 24.01/15.74 (v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0))),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2848, 1359, 2698])).
% 24.01/15.74 tff(2850,plain,
% 24.01/15.74 (~v129(constB12, bitIndex0)),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2849, 2845])).
% 24.01/15.74 tff(2851,plain,
% 24.01/15.74 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2852,plain,
% 24.01/15.74 (((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0)) <=> ((~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2853,plain,
% 24.01/15.74 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12))))),
% 24.01/15.74 inference(monotonicity,[status(thm)],[2852])).
% 24.01/15.74 tff(2854,plain,
% 24.01/15.74 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))),
% 24.01/15.74 inference(transitivity,[status(thm)],[2853, 2851])).
% 24.01/15.74 tff(2855,plain,
% 24.01/15.74 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0))),
% 24.01/15.74 inference(quant_inst,[status(thm)],[])).
% 24.01/15.74 tff(2856,plain,
% 24.01/15.74 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12))),
% 24.01/15.74 inference(modus_ponens,[status(thm)],[2855, 2854])).
% 24.01/15.74 tff(2857,plain,
% 24.01/15.74 ((~v90(constB12, bitIndex0)) | (~v100(constB12))),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2856, 1374, 2850])).
% 24.01/15.74 tff(2858,plain,
% 24.01/15.74 (~v90(constB12, bitIndex0)),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2857, 2729])).
% 24.01/15.74 tff(2859,plain,
% 24.01/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2860,plain,
% 24.01/15.74 (((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0))) <=> (v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2861,plain,
% 24.01/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0))))),
% 24.01/15.74 inference(monotonicity,[status(thm)],[2860])).
% 24.01/15.74 tff(2862,plain,
% 24.01/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 24.01/15.74 inference(transitivity,[status(thm)],[2861, 2859])).
% 24.01/15.74 tff(2863,plain,
% 24.01/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 24.01/15.74 inference(quant_inst,[status(thm)],[])).
% 24.01/15.74 tff(2864,plain,
% 24.01/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0))),
% 24.01/15.74 inference(modus_ponens,[status(thm)],[2863, 2862])).
% 24.01/15.74 tff(2865,plain,
% 24.01/15.74 (v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0))),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2864, 934, 2764])).
% 24.01/15.74 tff(2866,plain,
% 24.01/15.74 (v90(constB12, bitIndex0) | (~v90(constB13, bitIndex0))),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2865, 2776])).
% 24.01/15.74 tff(2867,plain,
% 24.01/15.74 (~v90(constB13, bitIndex0)),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2866, 2858])).
% 24.01/15.74 tff(2868,plain,
% 24.01/15.74 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | v123(constB13))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | v123(constB13))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2869,plain,
% 24.01/15.74 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | v123(constB13))),
% 24.01/15.74 inference(quant_inst,[status(thm)],[])).
% 24.01/15.74 tff(2870,plain,
% 24.01/15.74 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | v123(constB13)),
% 24.01/15.74 inference(modus_ponens,[status(thm)],[2869, 2868])).
% 24.01/15.74 tff(2871,plain,
% 24.01/15.74 (v123(constB13)),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2870, 1401, 2867, 2826, 2785])).
% 24.01/15.74 tff(2872,plain,
% 24.01/15.74 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB13)) | v115(constB13))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB13)) | v115(constB13))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2873,plain,
% 24.01/15.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB13)) | v115(constB13))),
% 24.01/15.74 inference(quant_inst,[status(thm)],[])).
% 24.01/15.74 tff(2874,plain,
% 24.01/15.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB13)) | v115(constB13)),
% 24.01/15.74 inference(modus_ponens,[status(thm)],[2873, 2872])).
% 24.01/15.74 tff(2875,plain,
% 24.01/15.74 (v115(constB13)),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2874, 1412, 2871])).
% 24.01/15.74 tff(2876,plain,
% 24.01/15.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB13) | (~v115(constB13)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB13) | (~v115(constB13)))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2877,plain,
% 24.01/15.74 (((~v115(constB13)) | v114(constB13)) <=> (v114(constB13) | (~v115(constB13)))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2878,plain,
% 24.01/15.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB13)) | v114(constB13))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB13) | (~v115(constB13))))),
% 24.01/15.74 inference(monotonicity,[status(thm)],[2877])).
% 24.01/15.74 tff(2879,plain,
% 24.01/15.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB13)) | v114(constB13))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB13) | (~v115(constB13)))),
% 24.01/15.74 inference(transitivity,[status(thm)],[2878, 2876])).
% 24.01/15.74 tff(2880,plain,
% 24.01/15.74 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB13)) | v114(constB13))),
% 24.01/15.74 inference(quant_inst,[status(thm)],[])).
% 24.01/15.74 tff(2881,plain,
% 24.01/15.74 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB13) | (~v115(constB13))),
% 24.01/15.74 inference(modus_ponens,[status(thm)],[2880, 2879])).
% 24.01/15.74 tff(2882,plain,
% 24.01/15.74 (v114(constB13)),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2881, 1022, 2875])).
% 24.01/15.74 tff(2883,plain,
% 24.01/15.74 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB13) | (~v114(constB13)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB13) | (~v114(constB13)))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2884,plain,
% 24.01/15.74 (((~v114(constB13)) | v113(constB13)) <=> (v113(constB13) | (~v114(constB13)))),
% 24.01/15.74 inference(rewrite,[status(thm)],[])).
% 24.01/15.74 tff(2885,plain,
% 24.01/15.74 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB13)) | v113(constB13))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB13) | (~v114(constB13))))),
% 24.01/15.74 inference(monotonicity,[status(thm)],[2884])).
% 24.01/15.74 tff(2886,plain,
% 24.01/15.74 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB13)) | v113(constB13))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB13) | (~v114(constB13)))),
% 24.01/15.74 inference(transitivity,[status(thm)],[2885, 2883])).
% 24.01/15.74 tff(2887,plain,
% 24.01/15.74 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB13)) | v113(constB13))),
% 24.01/15.74 inference(quant_inst,[status(thm)],[])).
% 24.01/15.74 tff(2888,plain,
% 24.01/15.74 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB13) | (~v114(constB13))),
% 24.01/15.74 inference(modus_ponens,[status(thm)],[2887, 2886])).
% 24.01/15.74 tff(2889,plain,
% 24.01/15.74 (v113(constB13)),
% 24.01/15.74 inference(unit_resolution,[status(thm)],[2888, 1036, 2882])).
% 24.01/15.74 tff(2890,assumption,(v26(constB13)), introduced(assumption)).
% 24.01/15.74 tff(2891,plain,
% 24.01/15.74 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB13))),
% 24.01/15.74 inference(quant_inst,[status(thm)],[])).
% 24.01/15.74 tff(2892,plain,
% 24.01/15.74 ($false),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2891, 797, 2890])).
% 24.01/15.75 tff(2893,plain,(~v26(constB13)), inference(lemma,lemma(discharge,[]))).
% 24.01/15.75 tff(2894,plain,
% 24.01/15.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | (~v113(constB13)) | v112(constB13))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2895,plain,
% 24.01/15.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))),
% 24.01/15.75 inference(quant_inst,[status(thm)],[])).
% 24.01/15.75 tff(2896,plain,
% 24.01/15.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | (~v113(constB13)) | v112(constB13)),
% 24.01/15.75 inference(modus_ponens,[status(thm)],[2895, 2894])).
% 24.01/15.75 tff(2897,plain,
% 24.01/15.75 ((~v113(constB13)) | v112(constB13)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2896, 1050, 2893])).
% 24.01/15.75 tff(2898,plain,
% 24.01/15.75 (v112(constB13)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2897, 2889])).
% 24.01/15.75 tff(2899,plain,
% 24.01/15.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB13) | (~v112(constB13)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB13) | (~v112(constB13)))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2900,plain,
% 24.01/15.75 (((~v112(constB13)) | v108(constB13)) <=> (v108(constB13) | (~v112(constB13)))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2901,plain,
% 24.01/15.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB13)) | v108(constB13))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB13) | (~v112(constB13))))),
% 24.01/15.75 inference(monotonicity,[status(thm)],[2900])).
% 24.01/15.75 tff(2902,plain,
% 24.01/15.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB13)) | v108(constB13))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB13) | (~v112(constB13)))),
% 24.01/15.75 inference(transitivity,[status(thm)],[2901, 2899])).
% 24.01/15.75 tff(2903,plain,
% 24.01/15.75 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB13)) | v108(constB13))),
% 24.01/15.75 inference(quant_inst,[status(thm)],[])).
% 24.01/15.75 tff(2904,plain,
% 24.01/15.75 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB13) | (~v112(constB13))),
% 24.01/15.75 inference(modus_ponens,[status(thm)],[2903, 2902])).
% 24.01/15.75 tff(2905,plain,
% 24.01/15.75 (v108(constB13)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2904, 1062, 2898])).
% 24.01/15.75 tff(2906,plain,
% 24.01/15.75 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2907,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_13_1')).
% 24.01/15.75 tff(2908,plain,
% 24.01/15.75 (nextState(constB13, constB14)),
% 24.01/15.75 inference(modus_ponens,[status(thm)],[2907, 2906])).
% 24.01/15.75 tff(2909,plain,
% 24.01/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2910,plain,
% 24.01/15.75 (((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14)) <=> ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2911,plain,
% 24.01/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13))))),
% 24.01/15.75 inference(monotonicity,[status(thm)],[2910])).
% 24.01/15.75 tff(2912,plain,
% 24.01/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 24.01/15.75 inference(transitivity,[status(thm)],[2911, 2909])).
% 24.01/15.75 tff(2913,plain,
% 24.01/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))),
% 24.01/15.75 inference(quant_inst,[status(thm)],[])).
% 24.01/15.75 tff(2914,plain,
% 24.01/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13))),
% 24.01/15.75 inference(modus_ponens,[status(thm)],[2913, 2912])).
% 24.01/15.75 tff(2915,plain,
% 24.01/15.75 (v110(constB14) | (~v108(constB13))),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2914, 1082, 2908])).
% 24.01/15.75 tff(2916,plain,
% 24.01/15.75 (v110(constB14)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2915, 2905])).
% 24.01/15.75 tff(2917,plain,
% 24.01/15.75 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2918,plain,
% 24.01/15.75 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))),
% 24.01/15.75 inference(quant_inst,[status(thm)],[])).
% 24.01/15.75 tff(2919,plain,
% 24.01/15.75 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14))),
% 24.01/15.75 inference(modus_ponens,[status(thm)],[2918, 2917])).
% 24.01/15.75 tff(2920,plain,
% 24.01/15.75 (~v104(constB14)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2919, 1100, 2908, 2761])).
% 24.01/15.75 tff(2921,plain,
% 24.01/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2922,plain,
% 24.01/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))),
% 24.01/15.75 inference(quant_inst,[status(thm)],[])).
% 24.01/15.75 tff(2923,plain,
% 24.01/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v102(constB14) | v104(constB14)),
% 24.01/15.75 inference(modus_ponens,[status(thm)],[2922, 2921])).
% 24.01/15.75 tff(2924,plain,
% 24.01/15.75 (v102(constB14) | v104(constB14)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2923, 1114, 2908])).
% 24.01/15.75 tff(2925,plain,
% 24.01/15.75 (v102(constB14)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2924, 2920])).
% 24.01/15.75 tff(2926,plain,
% 24.01/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2927,plain,
% 24.01/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))),
% 24.01/15.75 inference(quant_inst,[status(thm)],[])).
% 24.01/15.75 tff(2928,plain,
% 24.01/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14))),
% 24.01/15.75 inference(modus_ponens,[status(thm)],[2927, 2926])).
% 24.01/15.75 tff(2929,plain,
% 24.01/15.75 (v101(constB14) | (~v102(constB14))),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2928, 1129, 2908, 9])).
% 24.01/15.75 tff(2930,plain,
% 24.01/15.75 (v101(constB14)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2929, 2925])).
% 24.01/15.75 tff(2931,plain,
% 24.01/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2932,plain,
% 24.01/15.75 (((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14)) <=> ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2933,plain,
% 24.01/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14))))),
% 24.01/15.75 inference(monotonicity,[status(thm)],[2932])).
% 24.01/15.75 tff(2934,plain,
% 24.01/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 24.01/15.75 inference(transitivity,[status(thm)],[2933, 2931])).
% 24.01/15.75 tff(2935,plain,
% 24.01/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))),
% 24.01/15.75 inference(quant_inst,[status(thm)],[])).
% 24.01/15.75 tff(2936,plain,
% 24.01/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 24.01/15.75 inference(modus_ponens,[status(thm)],[2935, 2934])).
% 24.01/15.75 tff(2937,plain,
% 24.01/15.75 (v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2936, 1144, 2908])).
% 24.01/15.75 tff(2938,plain,
% 24.01/15.75 (v100(constB14) | (~v110(constB14))),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2937, 2930])).
% 24.01/15.75 tff(2939,plain,
% 24.01/15.75 (v100(constB14)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2938, 2916])).
% 24.01/15.75 tff(2940,plain,
% 24.01/15.75 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB13)) | v130(constB13, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB13)) | v130(constB13, bitIndex1))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2941,plain,
% 24.01/15.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB13)) | v130(constB13, bitIndex1))),
% 24.01/15.75 inference(quant_inst,[status(thm)],[])).
% 24.01/15.75 tff(2942,plain,
% 24.01/15.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB13)) | v130(constB13, bitIndex1)),
% 24.01/15.75 inference(modus_ponens,[status(thm)],[2941, 2940])).
% 24.01/15.75 tff(2943,plain,
% 24.01/15.75 (v130(constB13, bitIndex1)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2942, 1539, 2871])).
% 24.01/15.75 tff(2944,plain,
% 24.01/15.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB13) | (~v130(constB13, bitIndex1)) | v127(constB13, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB13) | (~v130(constB13, bitIndex1)) | v127(constB13, bitIndex1))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2945,plain,
% 24.01/15.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB13) | (~v130(constB13, bitIndex1)) | v127(constB13, bitIndex1))),
% 24.01/15.75 inference(quant_inst,[status(thm)],[])).
% 24.01/15.75 tff(2946,plain,
% 24.01/15.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB13) | (~v130(constB13, bitIndex1)) | v127(constB13, bitIndex1)),
% 24.01/15.75 inference(modus_ponens,[status(thm)],[2945, 2944])).
% 24.01/15.75 tff(2947,plain,
% 24.01/15.75 ((~v130(constB13, bitIndex1)) | v127(constB13, bitIndex1)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2946, 1553, 2893])).
% 24.01/15.75 tff(2948,plain,
% 24.01/15.75 (v127(constB13, bitIndex1)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2947, 2943])).
% 24.01/15.75 tff(2949,plain,
% 24.01/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB13, constB14)) | (~v127(constB13, bitIndex1)) | v129(constB14, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB13, constB14)) | (~v127(constB13, bitIndex1)) | v129(constB14, bitIndex1))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2950,plain,
% 24.01/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB13, constB14)) | (~v127(constB13, bitIndex1)) | v129(constB14, bitIndex1))),
% 24.01/15.75 inference(quant_inst,[status(thm)],[])).
% 24.01/15.75 tff(2951,plain,
% 24.01/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB13, constB14)) | (~v127(constB13, bitIndex1)) | v129(constB14, bitIndex1)),
% 24.01/15.75 inference(modus_ponens,[status(thm)],[2950, 2949])).
% 24.01/15.75 tff(2952,plain,
% 24.01/15.75 ((~v127(constB13, bitIndex1)) | v129(constB14, bitIndex1)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2951, 1568, 2908])).
% 24.01/15.75 tff(2953,plain,
% 24.01/15.75 (v129(constB14, bitIndex1)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2952, 2948])).
% 24.01/15.75 tff(2954,plain,
% 24.01/15.75 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB14, bitIndex1) | (~v129(constB14, bitIndex1)) | (~v100(constB14)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB14, bitIndex1) | (~v129(constB14, bitIndex1)) | (~v100(constB14)))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2955,plain,
% 24.01/15.75 ((v90(constB14, bitIndex1) | (~v100(constB14)) | (~v129(constB14, bitIndex1))) <=> (v90(constB14, bitIndex1) | (~v129(constB14, bitIndex1)) | (~v100(constB14)))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2956,plain,
% 24.01/15.75 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB14, bitIndex1) | (~v100(constB14)) | (~v129(constB14, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB14, bitIndex1) | (~v129(constB14, bitIndex1)) | (~v100(constB14))))),
% 24.01/15.75 inference(monotonicity,[status(thm)],[2955])).
% 24.01/15.75 tff(2957,plain,
% 24.01/15.75 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB14, bitIndex1) | (~v100(constB14)) | (~v129(constB14, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB14, bitIndex1) | (~v129(constB14, bitIndex1)) | (~v100(constB14)))),
% 24.01/15.75 inference(transitivity,[status(thm)],[2956, 2954])).
% 24.01/15.75 tff(2958,plain,
% 24.01/15.75 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB14, bitIndex1) | (~v100(constB14)) | (~v129(constB14, bitIndex1)))),
% 24.01/15.75 inference(quant_inst,[status(thm)],[])).
% 24.01/15.75 tff(2959,plain,
% 24.01/15.75 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB14, bitIndex1) | (~v129(constB14, bitIndex1)) | (~v100(constB14))),
% 24.01/15.75 inference(modus_ponens,[status(thm)],[2958, 2957])).
% 24.01/15.75 tff(2960,plain,
% 24.01/15.75 (v90(constB14, bitIndex1) | (~v100(constB14))),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2959, 1583, 2953])).
% 24.01/15.75 tff(2961,plain,
% 24.01/15.75 (v90(constB14, bitIndex1)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2960, 2939])).
% 24.01/15.75 tff(2962,plain,
% 24.01/15.75 ((~v1(constB15)) <=> (~v1(constB15))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2963,axiom,(~v1(constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_15_1_1')).
% 24.01/15.75 tff(2964,plain,
% 24.01/15.75 (~v1(constB15)),
% 24.01/15.75 inference(modus_ponens,[status(thm)],[2963, 2962])).
% 24.01/15.75 tff(2965,plain,
% 24.01/15.75 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2966,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_14_1')).
% 24.01/15.75 tff(2967,plain,
% 24.01/15.75 (nextState(constB14, constB15)),
% 24.01/15.75 inference(modus_ponens,[status(thm)],[2966, 2965])).
% 24.01/15.75 tff(2968,plain,
% 24.01/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2969,plain,
% 24.01/15.75 (((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15)) <=> (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2970,plain,
% 24.01/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15))))),
% 24.01/15.75 inference(monotonicity,[status(thm)],[2969])).
% 24.01/15.75 tff(2971,plain,
% 24.01/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 24.01/15.75 inference(transitivity,[status(thm)],[2970, 2968])).
% 24.01/15.75 tff(2972,plain,
% 24.01/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))),
% 24.01/15.75 inference(quant_inst,[status(thm)],[])).
% 24.01/15.75 tff(2973,plain,
% 24.01/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15))),
% 24.01/15.75 inference(modus_ponens,[status(thm)],[2972, 2971])).
% 24.01/15.75 tff(2974,plain,
% 24.01/15.75 (~v101(constB15)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2973, 860, 2967, 2964])).
% 24.01/15.75 tff(2975,plain,
% 24.01/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2976,plain,
% 24.01/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))),
% 24.01/15.75 inference(quant_inst,[status(thm)],[])).
% 24.01/15.75 tff(2977,plain,
% 24.01/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15))),
% 24.01/15.75 inference(modus_ponens,[status(thm)],[2976, 2975])).
% 24.01/15.75 tff(2978,plain,
% 24.01/15.75 (v101(constB15) | (~v100(constB15))),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2977, 877, 2967])).
% 24.01/15.75 tff(2979,plain,
% 24.01/15.75 (~v100(constB15)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2978, 2974])).
% 24.01/15.75 tff(2980,plain,
% 24.01/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex1))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2981,plain,
% 24.01/15.75 (((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex1)) | v100(constB15) | v90(constB15, bitIndex1)) <=> ((~v90(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex1))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2982,plain,
% 24.01/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex1)) | v100(constB15) | v90(constB15, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex1)))),
% 24.01/15.75 inference(monotonicity,[status(thm)],[2981])).
% 24.01/15.75 tff(2983,plain,
% 24.01/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex1)) | v100(constB15) | v90(constB15, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex1))),
% 24.01/15.75 inference(transitivity,[status(thm)],[2982, 2980])).
% 24.01/15.75 tff(2984,plain,
% 24.01/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex1)) | v100(constB15) | v90(constB15, bitIndex1))),
% 24.01/15.75 inference(quant_inst,[status(thm)],[])).
% 24.01/15.75 tff(2985,plain,
% 24.01/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex1)),
% 24.01/15.75 inference(modus_ponens,[status(thm)],[2984, 2983])).
% 24.01/15.75 tff(2986,plain,
% 24.01/15.75 ((~v90(constB14, bitIndex1)) | v100(constB15) | v90(constB15, bitIndex1)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2985, 1601, 2967])).
% 24.01/15.75 tff(2987,plain,
% 24.01/15.75 ((~v90(constB14, bitIndex1)) | v90(constB15, bitIndex1)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2986, 2979])).
% 24.01/15.75 tff(2988,plain,
% 24.01/15.75 (v90(constB15, bitIndex1)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2987, 2961])).
% 24.01/15.75 tff(2989,plain,
% 24.01/15.75 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB13)) | v130(constB13, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB13)) | v130(constB13, bitIndex2))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2990,plain,
% 24.01/15.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB13)) | v130(constB13, bitIndex2))),
% 24.01/15.75 inference(quant_inst,[status(thm)],[])).
% 24.01/15.75 tff(2991,plain,
% 24.01/15.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB13)) | v130(constB13, bitIndex2)),
% 24.01/15.75 inference(modus_ponens,[status(thm)],[2990, 2989])).
% 24.01/15.75 tff(2992,plain,
% 24.01/15.75 (v130(constB13, bitIndex2)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2991, 1483, 2871])).
% 24.01/15.75 tff(2993,plain,
% 24.01/15.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB13) | (~v130(constB13, bitIndex2)) | v127(constB13, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB13) | (~v130(constB13, bitIndex2)) | v127(constB13, bitIndex2))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2994,plain,
% 24.01/15.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB13) | (~v130(constB13, bitIndex2)) | v127(constB13, bitIndex2))),
% 24.01/15.75 inference(quant_inst,[status(thm)],[])).
% 24.01/15.75 tff(2995,plain,
% 24.01/15.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB13) | (~v130(constB13, bitIndex2)) | v127(constB13, bitIndex2)),
% 24.01/15.75 inference(modus_ponens,[status(thm)],[2994, 2993])).
% 24.01/15.75 tff(2996,plain,
% 24.01/15.75 ((~v130(constB13, bitIndex2)) | v127(constB13, bitIndex2)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2995, 1174, 2893])).
% 24.01/15.75 tff(2997,plain,
% 24.01/15.75 (v127(constB13, bitIndex2)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2996, 2992])).
% 24.01/15.75 tff(2998,plain,
% 24.01/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB13, constB14)) | (~v127(constB13, bitIndex2)) | v129(constB14, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB13, constB14)) | (~v127(constB13, bitIndex2)) | v129(constB14, bitIndex2))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(2999,plain,
% 24.01/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB13, constB14)) | (~v127(constB13, bitIndex2)) | v129(constB14, bitIndex2))),
% 24.01/15.75 inference(quant_inst,[status(thm)],[])).
% 24.01/15.75 tff(3000,plain,
% 24.01/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB13, constB14)) | (~v127(constB13, bitIndex2)) | v129(constB14, bitIndex2)),
% 24.01/15.75 inference(modus_ponens,[status(thm)],[2999, 2998])).
% 24.01/15.75 tff(3001,plain,
% 24.01/15.75 ((~v127(constB13, bitIndex2)) | v129(constB14, bitIndex2)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[3000, 1189, 2908])).
% 24.01/15.75 tff(3002,plain,
% 24.01/15.75 (v129(constB14, bitIndex2)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[3001, 2997])).
% 24.01/15.75 tff(3003,plain,
% 24.01/15.75 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB14, bitIndex2) | (~v129(constB14, bitIndex2)) | (~v100(constB14)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB14, bitIndex2) | (~v129(constB14, bitIndex2)) | (~v100(constB14)))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(3004,plain,
% 24.01/15.75 ((v90(constB14, bitIndex2) | (~v100(constB14)) | (~v129(constB14, bitIndex2))) <=> (v90(constB14, bitIndex2) | (~v129(constB14, bitIndex2)) | (~v100(constB14)))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(3005,plain,
% 24.01/15.75 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB14, bitIndex2) | (~v100(constB14)) | (~v129(constB14, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB14, bitIndex2) | (~v129(constB14, bitIndex2)) | (~v100(constB14))))),
% 24.01/15.75 inference(monotonicity,[status(thm)],[3004])).
% 24.01/15.75 tff(3006,plain,
% 24.01/15.75 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB14, bitIndex2) | (~v100(constB14)) | (~v129(constB14, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB14, bitIndex2) | (~v129(constB14, bitIndex2)) | (~v100(constB14)))),
% 24.01/15.75 inference(transitivity,[status(thm)],[3005, 3003])).
% 24.01/15.75 tff(3007,plain,
% 24.01/15.75 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB14, bitIndex2) | (~v100(constB14)) | (~v129(constB14, bitIndex2)))),
% 24.01/15.75 inference(quant_inst,[status(thm)],[])).
% 24.01/15.75 tff(3008,plain,
% 24.01/15.75 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB14, bitIndex2) | (~v129(constB14, bitIndex2)) | (~v100(constB14))),
% 24.01/15.75 inference(modus_ponens,[status(thm)],[3007, 3006])).
% 24.01/15.75 tff(3009,plain,
% 24.01/15.75 (v90(constB14, bitIndex2) | (~v100(constB14))),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[3008, 1204, 3002])).
% 24.01/15.75 tff(3010,plain,
% 24.01/15.75 (v90(constB14, bitIndex2)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[3009, 2939])).
% 24.01/15.75 tff(3011,plain,
% 24.01/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex2))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(3012,plain,
% 24.01/15.75 (((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex2)) | v100(constB15) | v90(constB15, bitIndex2)) <=> ((~v90(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex2))),
% 24.01/15.75 inference(rewrite,[status(thm)],[])).
% 24.01/15.75 tff(3013,plain,
% 24.01/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex2)) | v100(constB15) | v90(constB15, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex2)))),
% 24.01/15.75 inference(monotonicity,[status(thm)],[3012])).
% 24.01/15.75 tff(3014,plain,
% 24.01/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex2)) | v100(constB15) | v90(constB15, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex2))),
% 24.01/15.75 inference(transitivity,[status(thm)],[3013, 3011])).
% 24.01/15.75 tff(3015,plain,
% 24.01/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex2)) | v100(constB15) | v90(constB15, bitIndex2))),
% 24.01/15.75 inference(quant_inst,[status(thm)],[])).
% 24.01/15.75 tff(3016,plain,
% 24.01/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex2)),
% 24.01/15.75 inference(modus_ponens,[status(thm)],[3015, 3014])).
% 24.01/15.75 tff(3017,plain,
% 24.01/15.75 ((~v90(constB14, bitIndex2)) | v100(constB15) | v90(constB15, bitIndex2)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[3016, 1240, 2967])).
% 24.01/15.75 tff(3018,plain,
% 24.01/15.75 ((~v90(constB14, bitIndex2)) | v90(constB15, bitIndex2)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[3017, 2979])).
% 24.01/15.75 tff(3019,plain,
% 24.01/15.75 (v90(constB15, bitIndex2)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[3018, 3010])).
% 24.01/15.75 tff(3020,assumption,(~v26(constB11)), introduced(assumption)).
% 24.01/15.75 tff(3021,plain,
% 24.01/15.75 (v112(constB11)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2687, 3020])).
% 24.01/15.75 tff(3022,plain,
% 24.01/15.75 (v108(constB11)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2694, 1062, 3021])).
% 24.01/15.75 tff(3023,plain,
% 24.01/15.75 (v110(constB12)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2705, 3022])).
% 24.01/15.75 tff(3024,plain,
% 24.01/15.75 (v100(constB12)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2728, 3023])).
% 24.01/15.75 tff(3025,plain,
% 24.01/15.75 (v127(constB11, bitIndex2)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2744, 3020])).
% 24.01/15.75 tff(3026,plain,
% 24.01/15.75 (v129(constB12, bitIndex2)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2749, 3025])).
% 24.01/15.75 tff(3027,plain,
% 24.01/15.75 (v90(constB12, bitIndex2) | (~v100(constB12))),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2756, 1204, 3026])).
% 24.01/15.75 tff(3028,plain,
% 24.01/15.75 (v90(constB12, bitIndex2)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[3027, 3024])).
% 24.01/15.75 tff(3029,plain,
% 24.01/15.75 (v90(constB13, bitIndex2)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2784, 3028])).
% 24.01/15.75 tff(3030,plain,
% 24.01/15.75 (~v127(constB11, bitIndex1)),
% 24.01/15.75 inference(unit_resolution,[status(thm)],[2803, 3020])).
% 24.01/15.75 tff(3031,plain,
% 24.01/15.75 (~v129(constB12, bitIndex1)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[2808, 3030])).
% 24.01/15.76 tff(3032,plain,
% 24.01/15.76 ((~v90(constB12, bitIndex1)) | (~v100(constB12))),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[2815, 1303, 3031])).
% 24.01/15.76 tff(3033,plain,
% 24.01/15.76 (~v90(constB12, bitIndex1)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3032, 3024])).
% 24.01/15.76 tff(3034,plain,
% 24.01/15.76 (~v90(constB13, bitIndex1)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[2825, 3033])).
% 24.01/15.76 tff(3035,plain,
% 24.01/15.76 (~v127(constB11, bitIndex0)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[2844, 3020])).
% 24.01/15.76 tff(3036,plain,
% 24.01/15.76 (~v129(constB12, bitIndex0)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[2849, 3035])).
% 24.01/15.76 tff(3037,plain,
% 24.01/15.76 ((~v90(constB12, bitIndex0)) | (~v100(constB12))),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[2856, 1374, 3036])).
% 24.01/15.76 tff(3038,plain,
% 24.01/15.76 (~v90(constB12, bitIndex0)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3037, 3024])).
% 24.01/15.76 tff(3039,plain,
% 24.01/15.76 (~v90(constB13, bitIndex0)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[2866, 3038])).
% 24.01/15.76 tff(3040,plain,
% 24.01/15.76 (v123(constB13)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[2870, 1401, 3039, 3034, 3029])).
% 24.01/15.76 tff(3041,assumption,(v90(constB14, bitIndex0)), introduced(assumption)).
% 24.01/15.76 tff(3042,plain,
% 24.01/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB13, bitIndex0) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB13, bitIndex0) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex0)))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3043,plain,
% 24.01/15.76 (((~nextState(constB13, constB14)) | v90(constB13, bitIndex0) | v100(constB14) | (~v90(constB14, bitIndex0))) <=> (v90(constB13, bitIndex0) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex0)))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3044,plain,
% 24.01/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v90(constB13, bitIndex0) | v100(constB14) | (~v90(constB14, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB13, bitIndex0) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex0))))),
% 24.01/15.76 inference(monotonicity,[status(thm)],[3043])).
% 24.01/15.76 tff(3045,plain,
% 24.01/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v90(constB13, bitIndex0) | v100(constB14) | (~v90(constB14, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB13, bitIndex0) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex0)))),
% 24.01/15.76 inference(transitivity,[status(thm)],[3044, 3042])).
% 24.01/15.76 tff(3046,plain,
% 24.01/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v90(constB13, bitIndex0) | v100(constB14) | (~v90(constB14, bitIndex0)))),
% 24.01/15.76 inference(quant_inst,[status(thm)],[])).
% 24.01/15.76 tff(3047,plain,
% 24.01/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB13, bitIndex0) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex0))),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3046, 3045])).
% 24.01/15.76 tff(3048,plain,
% 24.01/15.76 (v90(constB13, bitIndex0) | v100(constB14) | (~v90(constB14, bitIndex0))),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3047, 934, 2908])).
% 24.01/15.76 tff(3049,plain,
% 24.01/15.76 (v100(constB14)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3048, 3039, 3041])).
% 24.01/15.76 tff(3050,plain,
% 24.01/15.76 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14)))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3051,plain,
% 24.01/15.76 (((~v90(constB14, bitIndex0)) | (~v100(constB14)) | v129(constB14, bitIndex0)) <=> ((~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14)))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3052,plain,
% 24.01/15.76 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | (~v100(constB14)) | v129(constB14, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14))))),
% 24.01/15.76 inference(monotonicity,[status(thm)],[3051])).
% 24.01/15.76 tff(3053,plain,
% 24.01/15.76 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | (~v100(constB14)) | v129(constB14, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14)))),
% 24.01/15.76 inference(transitivity,[status(thm)],[3052, 3050])).
% 24.01/15.76 tff(3054,plain,
% 24.01/15.76 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | (~v100(constB14)) | v129(constB14, bitIndex0))),
% 24.01/15.76 inference(quant_inst,[status(thm)],[])).
% 24.01/15.76 tff(3055,plain,
% 24.01/15.76 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14))),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3054, 3053])).
% 24.01/15.76 tff(3056,plain,
% 24.01/15.76 (v129(constB14, bitIndex0) | (~v100(constB14))),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3055, 1374, 3041])).
% 24.01/15.76 tff(3057,plain,
% 24.01/15.76 (v129(constB14, bitIndex0)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3056, 3049])).
% 24.01/15.76 tff(3058,plain,
% 24.01/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0)))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3059,plain,
% 24.01/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0)))),
% 24.01/15.76 inference(quant_inst,[status(thm)],[])).
% 24.01/15.76 tff(3060,plain,
% 24.01/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0))),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3059, 3058])).
% 24.01/15.76 tff(3061,plain,
% 24.01/15.76 (v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0))),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3060, 1359, 2908])).
% 24.01/15.76 tff(3062,plain,
% 24.01/15.76 (v127(constB13, bitIndex0)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3061, 3057])).
% 24.01/15.76 tff(3063,plain,
% 24.01/15.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3064,plain,
% 24.01/15.76 ((v26(constB13) | v130(constB13, bitIndex0) | (~v127(constB13, bitIndex0))) <=> ((~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3065,plain,
% 24.01/15.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB13) | v130(constB13, bitIndex0) | (~v127(constB13, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0)))),
% 24.01/15.76 inference(monotonicity,[status(thm)],[3064])).
% 24.01/15.76 tff(3066,plain,
% 24.01/15.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB13) | v130(constB13, bitIndex0) | (~v127(constB13, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0))),
% 24.01/15.76 inference(transitivity,[status(thm)],[3065, 3063])).
% 24.01/15.76 tff(3067,plain,
% 24.01/15.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB13) | v130(constB13, bitIndex0) | (~v127(constB13, bitIndex0)))),
% 24.01/15.76 inference(quant_inst,[status(thm)],[])).
% 24.01/15.76 tff(3068,plain,
% 24.01/15.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0)),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3067, 3066])).
% 24.01/15.76 tff(3069,plain,
% 24.01/15.76 ((~v127(constB13, bitIndex0)) | v130(constB13, bitIndex0)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3068, 1341, 2893])).
% 24.01/15.76 tff(3070,plain,
% 24.01/15.76 (v130(constB13, bitIndex0)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3069, 3062])).
% 24.01/15.76 tff(3071,plain,
% 24.01/15.76 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB13)) | (~v130(constB13, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB13)) | (~v130(constB13, bitIndex0)))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3072,plain,
% 24.01/15.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB13)) | (~v130(constB13, bitIndex0)))),
% 24.01/15.76 inference(quant_inst,[status(thm)],[])).
% 24.01/15.76 tff(3073,plain,
% 24.01/15.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB13)) | (~v130(constB13, bitIndex0))),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3072, 3071])).
% 24.01/15.76 tff(3074,plain,
% 24.01/15.76 ($false),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3073, 1617, 3070, 3040])).
% 24.01/15.76 tff(3075,plain,(v26(constB11) | (~v90(constB14, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 24.01/15.76 tff(3076,plain,
% 24.01/15.76 (~v90(constB14, bitIndex0)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3075, 828])).
% 24.01/15.76 tff(3077,plain,
% 24.01/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0)))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3078,plain,
% 24.01/15.76 (((~nextState(constB14, constB15)) | v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0))) <=> (v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0)))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3079,plain,
% 24.01/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0))))),
% 24.01/15.76 inference(monotonicity,[status(thm)],[3078])).
% 24.01/15.76 tff(3080,plain,
% 24.01/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0)))),
% 24.01/15.76 inference(transitivity,[status(thm)],[3079, 3077])).
% 24.01/15.76 tff(3081,plain,
% 24.01/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0)))),
% 24.01/15.76 inference(quant_inst,[status(thm)],[])).
% 24.01/15.76 tff(3082,plain,
% 24.01/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0))),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3081, 3080])).
% 24.01/15.76 tff(3083,plain,
% 24.01/15.76 (v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0))),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3082, 934, 2967])).
% 24.01/15.76 tff(3084,plain,
% 24.01/15.76 (v90(constB14, bitIndex0) | (~v90(constB15, bitIndex0))),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3083, 2979])).
% 24.01/15.76 tff(3085,plain,
% 24.01/15.76 (~v90(constB15, bitIndex0)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3084, 3076])).
% 24.01/15.76 tff(3086,plain,
% 24.01/15.76 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2)) | v125(constB15))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2)) | v125(constB15))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3087,plain,
% 24.01/15.76 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2)) | v125(constB15))),
% 24.01/15.76 inference(quant_inst,[status(thm)],[])).
% 24.01/15.76 tff(3088,plain,
% 24.01/15.76 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2)) | v125(constB15)),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3087, 3086])).
% 24.01/15.76 tff(3089,plain,
% 24.01/15.76 ((~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2)) | v125(constB15)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3088, 1661, 3085])).
% 24.01/15.76 tff(3090,plain,
% 24.01/15.76 (v125(constB15)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3089, 3019, 2988])).
% 24.01/15.76 tff(3091,plain,
% 24.01/15.76 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB15)) | v113(constB15))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB15)) | v113(constB15))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3092,plain,
% 24.01/15.76 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB15)) | v113(constB15))),
% 24.01/15.76 inference(quant_inst,[status(thm)],[])).
% 24.01/15.76 tff(3093,plain,
% 24.01/15.76 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB15)) | v113(constB15)),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3092, 3091])).
% 24.01/15.76 tff(3094,plain,
% 24.01/15.76 (v113(constB15)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3093, 1672, 3090])).
% 24.01/15.76 tff(3095,assumption,(v26(constB15)), introduced(assumption)).
% 24.01/15.76 tff(3096,plain,
% 24.01/15.76 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB15))),
% 24.01/15.76 inference(quant_inst,[status(thm)],[])).
% 24.01/15.76 tff(3097,plain,
% 24.01/15.76 ($false),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3096, 797, 3095])).
% 24.01/15.76 tff(3098,plain,(~v26(constB15)), inference(lemma,lemma(discharge,[]))).
% 24.01/15.76 tff(3099,plain,
% 24.01/15.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | (~v113(constB15)) | v112(constB15))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3100,plain,
% 24.01/15.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))),
% 24.01/15.76 inference(quant_inst,[status(thm)],[])).
% 24.01/15.76 tff(3101,plain,
% 24.01/15.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | (~v113(constB15)) | v112(constB15)),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3100, 3099])).
% 24.01/15.76 tff(3102,plain,
% 24.01/15.76 ((~v113(constB15)) | v112(constB15)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3101, 1050, 3098])).
% 24.01/15.76 tff(3103,plain,
% 24.01/15.76 (v112(constB15)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3102, 3094])).
% 24.01/15.76 tff(3104,plain,
% 24.01/15.76 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB15) | (~v112(constB15)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v112(constB15)))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3105,plain,
% 24.01/15.76 (((~v112(constB15)) | v108(constB15)) <=> (v108(constB15) | (~v112(constB15)))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3106,plain,
% 24.01/15.76 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB15)) | v108(constB15))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB15) | (~v112(constB15))))),
% 24.01/15.76 inference(monotonicity,[status(thm)],[3105])).
% 24.01/15.76 tff(3107,plain,
% 24.01/15.76 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB15)) | v108(constB15))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v112(constB15)))),
% 24.01/15.76 inference(transitivity,[status(thm)],[3106, 3104])).
% 24.01/15.76 tff(3108,plain,
% 24.01/15.76 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB15)) | v108(constB15))),
% 24.01/15.76 inference(quant_inst,[status(thm)],[])).
% 24.01/15.76 tff(3109,plain,
% 24.01/15.76 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v112(constB15))),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3108, 3107])).
% 24.01/15.76 tff(3110,plain,
% 24.01/15.76 (v108(constB15)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3109, 1062, 3103])).
% 24.01/15.76 tff(3111,plain,
% 24.01/15.76 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3112,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_15_1')).
% 24.01/15.76 tff(3113,plain,
% 24.01/15.76 (nextState(constB15, constB16)),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3112, 3111])).
% 24.01/15.76 tff(3114,plain,
% 24.01/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3115,plain,
% 24.01/15.76 (((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16)) <=> ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3116,plain,
% 24.01/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15))))),
% 24.01/15.76 inference(monotonicity,[status(thm)],[3115])).
% 24.01/15.76 tff(3117,plain,
% 24.01/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 24.01/15.76 inference(transitivity,[status(thm)],[3116, 3114])).
% 24.01/15.76 tff(3118,plain,
% 24.01/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))),
% 24.01/15.76 inference(quant_inst,[status(thm)],[])).
% 24.01/15.76 tff(3119,plain,
% 24.01/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15))),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3118, 3117])).
% 24.01/15.76 tff(3120,plain,
% 24.01/15.76 (v110(constB16) | (~v108(constB15))),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3119, 1082, 3113])).
% 24.01/15.76 tff(3121,plain,
% 24.01/15.76 (v110(constB16)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3120, 3110])).
% 24.01/15.76 tff(3122,plain,
% 24.01/15.76 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3123,plain,
% 24.01/15.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))),
% 24.01/15.76 inference(quant_inst,[status(thm)],[])).
% 24.01/15.76 tff(3124,plain,
% 24.01/15.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16))),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3123, 3122])).
% 24.01/15.76 tff(3125,plain,
% 24.01/15.76 (~v104(constB16)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3124, 1100, 3113, 2964])).
% 24.01/15.76 tff(3126,plain,
% 24.01/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3127,plain,
% 24.01/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))),
% 24.01/15.76 inference(quant_inst,[status(thm)],[])).
% 24.01/15.76 tff(3128,plain,
% 24.01/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v102(constB16) | v104(constB16)),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3127, 3126])).
% 24.01/15.76 tff(3129,plain,
% 24.01/15.76 (v102(constB16) | v104(constB16)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3128, 1114, 3113])).
% 24.01/15.76 tff(3130,plain,
% 24.01/15.76 (v102(constB16)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3129, 3125])).
% 24.01/15.76 tff(3131,plain,
% 24.01/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3132,plain,
% 24.01/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))),
% 24.01/15.76 inference(quant_inst,[status(thm)],[])).
% 24.01/15.76 tff(3133,plain,
% 24.01/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16))),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3132, 3131])).
% 24.01/15.76 tff(3134,plain,
% 24.01/15.76 (v101(constB16) | (~v102(constB16))),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3133, 1129, 3113, 86])).
% 24.01/15.76 tff(3135,plain,
% 24.01/15.76 (v101(constB16)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3134, 3130])).
% 24.01/15.76 tff(3136,plain,
% 24.01/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3137,plain,
% 24.01/15.76 (((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16)) <=> ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3138,plain,
% 24.01/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16))))),
% 24.01/15.76 inference(monotonicity,[status(thm)],[3137])).
% 24.01/15.76 tff(3139,plain,
% 24.01/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 24.01/15.76 inference(transitivity,[status(thm)],[3138, 3136])).
% 24.01/15.76 tff(3140,plain,
% 24.01/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))),
% 24.01/15.76 inference(quant_inst,[status(thm)],[])).
% 24.01/15.76 tff(3141,plain,
% 24.01/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3140, 3139])).
% 24.01/15.76 tff(3142,plain,
% 24.01/15.76 (v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3141, 1144, 3113])).
% 24.01/15.76 tff(3143,plain,
% 24.01/15.76 (v100(constB16) | (~v110(constB16))),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3142, 3135])).
% 24.01/15.76 tff(3144,plain,
% 24.01/15.76 (v100(constB16)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3143, 3121])).
% 24.01/15.76 tff(3145,plain,
% 24.01/15.76 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB15)) | (~v90(constB15, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB15)) | (~v90(constB15, bitIndex2)))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3146,plain,
% 24.01/15.76 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB15)) | (~v90(constB15, bitIndex2)))),
% 24.01/15.76 inference(quant_inst,[status(thm)],[])).
% 24.01/15.76 tff(3147,plain,
% 24.01/15.76 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB15)) | (~v90(constB15, bitIndex2))),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3146, 3145])).
% 24.01/15.76 tff(3148,plain,
% 24.01/15.76 (~v121(constB15)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3147, 1729, 3019])).
% 24.01/15.76 tff(3149,plain,
% 24.01/15.76 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB15)) | (~v90(constB15, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB15)) | (~v90(constB15, bitIndex1)))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3150,plain,
% 24.01/15.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB15)) | (~v90(constB15, bitIndex1)))),
% 24.01/15.76 inference(quant_inst,[status(thm)],[])).
% 24.01/15.76 tff(3151,plain,
% 24.01/15.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB15)) | (~v90(constB15, bitIndex1))),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3150, 3149])).
% 24.01/15.76 tff(3152,plain,
% 24.01/15.76 (~v123(constB15)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3151, 1773, 2988])).
% 24.01/15.76 tff(3153,plain,
% 24.01/15.76 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB15)) | (~v90(constB15, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB15)) | (~v90(constB15, bitIndex1)))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3154,plain,
% 24.01/15.76 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB15)) | (~v90(constB15, bitIndex1)))),
% 24.01/15.76 inference(quant_inst,[status(thm)],[])).
% 24.01/15.76 tff(3155,plain,
% 24.01/15.76 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB15)) | (~v90(constB15, bitIndex1))),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3154, 3153])).
% 24.01/15.76 tff(3156,plain,
% 24.01/15.76 (~v119(constB15)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3155, 1751, 2988])).
% 24.01/15.76 tff(3157,plain,
% 24.01/15.76 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ((~v122(VarCurr)) | v90(VarCurr, bitIndex0)))),
% 24.01/15.76 inference(bind,[status(th)],[])).
% 24.01/15.76 tff(3158,plain,
% 24.01/15.76 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))),
% 24.01/15.76 inference(quant_intro,[status(thm)],[3157])).
% 24.01/15.76 tff(3159,plain,
% 24.01/15.76 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3160,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_3')).
% 24.01/15.76 tff(3161,plain,
% 24.01/15.76 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3160, 3159])).
% 24.01/15.76 tff(3162,plain,(
% 24.01/15.76 ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))),
% 24.01/15.76 inference(skolemize,[status(sab)],[3161])).
% 24.01/15.76 tff(3163,plain,
% 24.01/15.76 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3162, 3158])).
% 24.01/15.76 tff(3164,plain,
% 24.01/15.76 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB15)) | v90(constB15, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB15)) | v90(constB15, bitIndex0))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3165,plain,
% 24.01/15.76 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB15)) | v90(constB15, bitIndex0))),
% 24.01/15.76 inference(quant_inst,[status(thm)],[])).
% 24.01/15.76 tff(3166,plain,
% 24.01/15.76 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB15)) | v90(constB15, bitIndex0)),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3165, 3164])).
% 24.01/15.76 tff(3167,plain,
% 24.01/15.76 (~v122(constB15)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3166, 3163, 3085])).
% 24.01/15.76 tff(3168,plain,
% 24.01/15.76 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ((~v124(VarCurr)) | v90(VarCurr, bitIndex0)))),
% 24.01/15.76 inference(bind,[status(th)],[])).
% 24.01/15.76 tff(3169,plain,
% 24.01/15.76 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))),
% 24.01/15.76 inference(quant_intro,[status(thm)],[3168])).
% 24.01/15.76 tff(3170,plain,
% 24.01/15.76 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3171,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_3')).
% 24.01/15.76 tff(3172,plain,
% 24.01/15.76 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3171, 3170])).
% 24.01/15.76 tff(3173,plain,(
% 24.01/15.76 ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))),
% 24.01/15.76 inference(skolemize,[status(sab)],[3172])).
% 24.01/15.76 tff(3174,plain,
% 24.01/15.76 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3173, 3169])).
% 24.01/15.76 tff(3175,plain,
% 24.01/15.76 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB15)) | v90(constB15, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB15)) | v90(constB15, bitIndex0))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3176,plain,
% 24.01/15.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB15)) | v90(constB15, bitIndex0))),
% 24.01/15.76 inference(quant_inst,[status(thm)],[])).
% 24.01/15.76 tff(3177,plain,
% 24.01/15.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB15)) | v90(constB15, bitIndex0)),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3176, 3175])).
% 24.01/15.76 tff(3178,plain,
% 24.01/15.76 (~v124(constB15)),
% 24.01/15.76 inference(unit_resolution,[status(thm)],[3177, 3174, 3085])).
% 24.01/15.76 tff(3179,plain,
% 24.01/15.76 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ((~v120(VarCurr)) | v90(VarCurr, bitIndex0)))),
% 24.01/15.76 inference(bind,[status(th)],[])).
% 24.01/15.76 tff(3180,plain,
% 24.01/15.76 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))),
% 24.01/15.76 inference(quant_intro,[status(thm)],[3179])).
% 24.01/15.76 tff(3181,plain,
% 24.01/15.76 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3182,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_2')).
% 24.01/15.76 tff(3183,plain,
% 24.01/15.76 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3182, 3181])).
% 24.01/15.76 tff(3184,plain,(
% 24.01/15.76 ![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))),
% 24.01/15.76 inference(skolemize,[status(sab)],[3183])).
% 24.01/15.76 tff(3185,plain,
% 24.01/15.76 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))),
% 24.01/15.76 inference(modus_ponens,[status(thm)],[3184, 3180])).
% 24.01/15.76 tff(3186,plain,
% 24.01/15.76 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB15)) | v90(constB15, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB15)) | v90(constB15, bitIndex0))),
% 24.01/15.76 inference(rewrite,[status(thm)],[])).
% 24.01/15.76 tff(3187,plain,
% 24.01/15.76 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB15)) | v90(constB15, bitIndex0))),
% 24.01/15.77 inference(quant_inst,[status(thm)],[])).
% 24.01/15.77 tff(3188,plain,
% 24.01/15.77 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB15)) | v90(constB15, bitIndex0)),
% 24.01/15.77 inference(modus_ponens,[status(thm)],[3187, 3186])).
% 24.01/15.77 tff(3189,plain,
% 24.01/15.77 (~v120(constB15)),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3188, 3185, 3085])).
% 24.01/15.77 tff(3190,plain,
% 24.01/15.77 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex2)))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3191,plain,
% 24.01/15.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex2)))),
% 24.01/15.77 inference(quant_inst,[status(thm)],[])).
% 24.01/15.77 tff(3192,plain,
% 24.01/15.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex2))),
% 24.01/15.77 inference(modus_ponens,[status(thm)],[3191, 3190])).
% 24.01/15.77 tff(3193,plain,
% 24.01/15.77 (v119(constB15) | v121(constB15) | v123(constB15) | (~v130(constB15, bitIndex2))),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3192, 1798, 3189, 3178, 3167])).
% 24.01/15.77 tff(3194,plain,
% 24.01/15.77 (~v130(constB15, bitIndex2)),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3193, 3156, 3152, 3148])).
% 24.01/15.77 tff(3195,plain,
% 24.01/15.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3196,plain,
% 24.01/15.77 ((v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2))) <=> ((~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3197,plain,
% 24.01/15.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2)))),
% 24.01/15.77 inference(monotonicity,[status(thm)],[3196])).
% 24.01/15.77 tff(3198,plain,
% 24.01/15.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))),
% 24.01/15.77 inference(transitivity,[status(thm)],[3197, 3195])).
% 24.01/15.77 tff(3199,plain,
% 24.01/15.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2)))),
% 24.01/15.77 inference(quant_inst,[status(thm)],[])).
% 24.01/15.77 tff(3200,plain,
% 24.01/15.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2)),
% 24.01/15.77 inference(modus_ponens,[status(thm)],[3199, 3198])).
% 24.01/15.77 tff(3201,plain,
% 24.01/15.77 ((~v127(constB15, bitIndex2)) | v130(constB15, bitIndex2)),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3200, 1812, 3098])).
% 24.01/15.77 tff(3202,plain,
% 24.01/15.77 (~v127(constB15, bitIndex2)),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3201, 3194])).
% 24.01/15.77 tff(3203,plain,
% 24.01/15.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2)))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3204,plain,
% 24.01/15.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2)))),
% 24.01/15.77 inference(quant_inst,[status(thm)],[])).
% 24.01/15.77 tff(3205,plain,
% 24.01/15.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2))),
% 24.01/15.77 inference(modus_ponens,[status(thm)],[3204, 3203])).
% 24.01/15.77 tff(3206,plain,
% 24.01/15.77 (v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2))),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3205, 1830, 3113])).
% 24.01/15.77 tff(3207,plain,
% 24.01/15.77 (~v129(constB16, bitIndex2)),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3206, 3202])).
% 24.01/15.77 tff(3208,plain,
% 24.01/15.77 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3209,plain,
% 24.01/15.77 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))),
% 24.01/15.77 inference(quant_inst,[status(thm)],[])).
% 24.01/15.77 tff(3210,plain,
% 24.01/15.77 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16))),
% 24.01/15.77 inference(modus_ponens,[status(thm)],[3209, 3208])).
% 24.01/15.77 tff(3211,plain,
% 24.01/15.77 ((~v90(constB16, bitIndex2)) | (~v100(constB16))),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3210, 1845, 3207])).
% 24.01/15.77 tff(3212,plain,
% 24.01/15.77 (~v90(constB16, bitIndex2)),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3211, 3144])).
% 24.01/15.77 tff(3213,plain,
% 24.01/15.77 ((~v1(constB17)) <=> (~v1(constB17))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3214,axiom,(~v1(constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_17_1_1')).
% 24.01/15.77 tff(3215,plain,
% 24.01/15.77 (~v1(constB17)),
% 24.01/15.77 inference(modus_ponens,[status(thm)],[3214, 3213])).
% 24.01/15.77 tff(3216,plain,
% 24.01/15.77 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3217,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_16_1')).
% 24.01/15.77 tff(3218,plain,
% 24.01/15.77 (nextState(constB16, constB17)),
% 24.01/15.77 inference(modus_ponens,[status(thm)],[3217, 3216])).
% 24.01/15.77 tff(3219,plain,
% 24.01/15.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3220,plain,
% 24.01/15.77 (((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17)) <=> (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3221,plain,
% 24.01/15.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17))))),
% 24.01/15.77 inference(monotonicity,[status(thm)],[3220])).
% 24.01/15.77 tff(3222,plain,
% 24.01/15.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 24.01/15.77 inference(transitivity,[status(thm)],[3221, 3219])).
% 24.01/15.77 tff(3223,plain,
% 24.01/15.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))),
% 24.01/15.77 inference(quant_inst,[status(thm)],[])).
% 24.01/15.77 tff(3224,plain,
% 24.01/15.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17))),
% 24.01/15.77 inference(modus_ponens,[status(thm)],[3223, 3222])).
% 24.01/15.77 tff(3225,plain,
% 24.01/15.77 (~v101(constB17)),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3224, 860, 3218, 3215])).
% 24.01/15.77 tff(3226,plain,
% 24.01/15.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3227,plain,
% 24.01/15.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))),
% 24.01/15.77 inference(quant_inst,[status(thm)],[])).
% 24.01/15.77 tff(3228,plain,
% 24.01/15.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17))),
% 24.01/15.77 inference(modus_ponens,[status(thm)],[3227, 3226])).
% 24.01/15.77 tff(3229,plain,
% 24.01/15.77 (v101(constB17) | (~v100(constB17))),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3228, 877, 3218])).
% 24.01/15.77 tff(3230,plain,
% 24.01/15.77 (~v100(constB17)),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3229, 3225])).
% 24.01/15.77 tff(3231,plain,
% 24.01/15.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3232,plain,
% 24.01/15.77 (((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2))) <=> (v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3233,plain,
% 24.01/15.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2))))),
% 24.01/15.77 inference(monotonicity,[status(thm)],[3232])).
% 24.01/15.77 tff(3234,plain,
% 24.01/15.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 24.01/15.77 inference(transitivity,[status(thm)],[3233, 3231])).
% 24.01/15.77 tff(3235,plain,
% 24.01/15.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 24.01/15.77 inference(quant_inst,[status(thm)],[])).
% 24.01/15.77 tff(3236,plain,
% 24.01/15.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2))),
% 24.01/15.77 inference(modus_ponens,[status(thm)],[3235, 3234])).
% 24.01/15.77 tff(3237,plain,
% 24.01/15.77 (v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2))),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3236, 892, 3218])).
% 24.01/15.77 tff(3238,plain,
% 24.01/15.77 (v90(constB16, bitIndex2) | (~v90(constB17, bitIndex2))),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3237, 3230])).
% 24.01/15.77 tff(3239,plain,
% 24.01/15.77 (~v90(constB17, bitIndex2)),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3238, 3212])).
% 24.01/15.77 tff(3240,plain,
% 24.01/15.77 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex1)))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3241,plain,
% 24.01/15.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex1)))),
% 24.01/15.77 inference(quant_inst,[status(thm)],[])).
% 24.01/15.77 tff(3242,plain,
% 24.01/15.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex1))),
% 24.01/15.77 inference(modus_ponens,[status(thm)],[3241, 3240])).
% 24.01/15.77 tff(3243,plain,
% 24.01/15.77 (v119(constB15) | v121(constB15) | v123(constB15) | (~v130(constB15, bitIndex1))),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3242, 1887, 3189, 3178, 3167])).
% 24.01/15.77 tff(3244,plain,
% 24.01/15.77 (~v130(constB15, bitIndex1)),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3243, 3156, 3152, 3148])).
% 24.01/15.77 tff(3245,plain,
% 24.01/15.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3246,plain,
% 24.01/15.77 ((v26(constB15) | v130(constB15, bitIndex1) | (~v127(constB15, bitIndex1))) <=> ((~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3247,plain,
% 24.01/15.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB15) | v130(constB15, bitIndex1) | (~v127(constB15, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1)))),
% 24.01/15.77 inference(monotonicity,[status(thm)],[3246])).
% 24.01/15.77 tff(3248,plain,
% 24.01/15.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB15) | v130(constB15, bitIndex1) | (~v127(constB15, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1))),
% 24.01/15.77 inference(transitivity,[status(thm)],[3247, 3245])).
% 24.01/15.77 tff(3249,plain,
% 24.01/15.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB15) | v130(constB15, bitIndex1) | (~v127(constB15, bitIndex1)))),
% 24.01/15.77 inference(quant_inst,[status(thm)],[])).
% 24.01/15.77 tff(3250,plain,
% 24.01/15.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1)),
% 24.01/15.77 inference(modus_ponens,[status(thm)],[3249, 3248])).
% 24.01/15.77 tff(3251,plain,
% 24.01/15.77 ((~v127(constB15, bitIndex1)) | v130(constB15, bitIndex1)),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3250, 1270, 3098])).
% 24.01/15.77 tff(3252,plain,
% 24.01/15.77 (~v127(constB15, bitIndex1)),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3251, 3244])).
% 24.01/15.77 tff(3253,plain,
% 24.01/15.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1)))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3254,plain,
% 24.01/15.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1)))),
% 24.01/15.77 inference(quant_inst,[status(thm)],[])).
% 24.01/15.77 tff(3255,plain,
% 24.01/15.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1))),
% 24.01/15.77 inference(modus_ponens,[status(thm)],[3254, 3253])).
% 24.01/15.77 tff(3256,plain,
% 24.01/15.77 (v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1))),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3255, 1288, 3113])).
% 24.01/15.77 tff(3257,plain,
% 24.01/15.77 (~v129(constB16, bitIndex1)),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3256, 3252])).
% 24.01/15.77 tff(3258,plain,
% 24.01/15.77 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16)))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3259,plain,
% 24.01/15.77 (((~v90(constB16, bitIndex1)) | (~v100(constB16)) | v129(constB16, bitIndex1)) <=> ((~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16)))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3260,plain,
% 24.01/15.77 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | (~v100(constB16)) | v129(constB16, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16))))),
% 24.01/15.77 inference(monotonicity,[status(thm)],[3259])).
% 24.01/15.77 tff(3261,plain,
% 24.01/15.77 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | (~v100(constB16)) | v129(constB16, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16)))),
% 24.01/15.77 inference(transitivity,[status(thm)],[3260, 3258])).
% 24.01/15.77 tff(3262,plain,
% 24.01/15.77 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | (~v100(constB16)) | v129(constB16, bitIndex1))),
% 24.01/15.77 inference(quant_inst,[status(thm)],[])).
% 24.01/15.77 tff(3263,plain,
% 24.01/15.77 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16))),
% 24.01/15.77 inference(modus_ponens,[status(thm)],[3262, 3261])).
% 24.01/15.77 tff(3264,plain,
% 24.01/15.77 ((~v90(constB16, bitIndex1)) | (~v100(constB16))),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3263, 1303, 3257])).
% 24.01/15.77 tff(3265,plain,
% 24.01/15.77 (~v90(constB16, bitIndex1)),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3264, 3144])).
% 24.01/15.77 tff(3266,plain,
% 24.01/15.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1)))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3267,plain,
% 24.01/15.77 (((~nextState(constB16, constB17)) | v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1))) <=> (v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1)))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3268,plain,
% 24.01/15.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1))))),
% 24.01/15.77 inference(monotonicity,[status(thm)],[3267])).
% 24.01/15.77 tff(3269,plain,
% 24.01/15.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1)))),
% 24.01/15.77 inference(transitivity,[status(thm)],[3268, 3266])).
% 24.01/15.77 tff(3270,plain,
% 24.01/15.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1)))),
% 24.01/15.77 inference(quant_inst,[status(thm)],[])).
% 24.01/15.77 tff(3271,plain,
% 24.01/15.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1))),
% 24.01/15.77 inference(modus_ponens,[status(thm)],[3270, 3269])).
% 24.01/15.77 tff(3272,plain,
% 24.01/15.77 (v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1))),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3271, 913, 3218])).
% 24.01/15.77 tff(3273,plain,
% 24.01/15.77 (v90(constB16, bitIndex1) | (~v90(constB17, bitIndex1))),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3272, 3230])).
% 24.01/15.77 tff(3274,plain,
% 24.01/15.77 (~v90(constB17, bitIndex1)),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3273, 3265])).
% 24.01/15.77 tff(3275,plain,
% 24.01/15.77 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | v130(constB15, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | v130(constB15, bitIndex0))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3276,plain,
% 24.01/15.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | v130(constB15, bitIndex0))),
% 24.01/15.77 inference(quant_inst,[status(thm)],[])).
% 24.01/15.77 tff(3277,plain,
% 24.01/15.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | v130(constB15, bitIndex0)),
% 24.01/15.77 inference(modus_ponens,[status(thm)],[3276, 3275])).
% 24.01/15.77 tff(3278,plain,
% 24.01/15.77 (v119(constB15) | v121(constB15) | v123(constB15) | v130(constB15, bitIndex0)),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3277, 1931, 3189, 3178, 3167])).
% 24.01/15.77 tff(3279,plain,
% 24.01/15.77 (v130(constB15, bitIndex0)),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3278, 3156, 3152, 3148])).
% 24.01/15.77 tff(3280,plain,
% 24.01/15.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB15) | (~v130(constB15, bitIndex0)) | v127(constB15, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB15) | (~v130(constB15, bitIndex0)) | v127(constB15, bitIndex0))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3281,plain,
% 24.01/15.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB15) | (~v130(constB15, bitIndex0)) | v127(constB15, bitIndex0))),
% 24.01/15.77 inference(quant_inst,[status(thm)],[])).
% 24.01/15.77 tff(3282,plain,
% 24.01/15.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB15) | (~v130(constB15, bitIndex0)) | v127(constB15, bitIndex0)),
% 24.01/15.77 inference(modus_ponens,[status(thm)],[3281, 3280])).
% 24.01/15.77 tff(3283,plain,
% 24.01/15.77 ((~v130(constB15, bitIndex0)) | v127(constB15, bitIndex0)),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3282, 1945, 3098])).
% 24.01/15.77 tff(3284,plain,
% 24.01/15.77 (v127(constB15, bitIndex0)),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3283, 3279])).
% 24.01/15.77 tff(3285,plain,
% 24.01/15.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB15, constB16)) | (~v127(constB15, bitIndex0)) | v129(constB16, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB15, constB16)) | (~v127(constB15, bitIndex0)) | v129(constB16, bitIndex0))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3286,plain,
% 24.01/15.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB15, constB16)) | (~v127(constB15, bitIndex0)) | v129(constB16, bitIndex0))),
% 24.01/15.77 inference(quant_inst,[status(thm)],[])).
% 24.01/15.77 tff(3287,plain,
% 24.01/15.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB15, constB16)) | (~v127(constB15, bitIndex0)) | v129(constB16, bitIndex0)),
% 24.01/15.77 inference(modus_ponens,[status(thm)],[3286, 3285])).
% 24.01/15.77 tff(3288,plain,
% 24.01/15.77 ((~v127(constB15, bitIndex0)) | v129(constB16, bitIndex0)),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3287, 1960, 3113])).
% 24.01/15.77 tff(3289,plain,
% 24.01/15.77 (v129(constB16, bitIndex0)),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3288, 3284])).
% 24.01/15.77 tff(3290,plain,
% 24.01/15.77 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB16, bitIndex0) | (~v129(constB16, bitIndex0)) | (~v100(constB16)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB16, bitIndex0) | (~v129(constB16, bitIndex0)) | (~v100(constB16)))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3291,plain,
% 24.01/15.77 ((v90(constB16, bitIndex0) | (~v100(constB16)) | (~v129(constB16, bitIndex0))) <=> (v90(constB16, bitIndex0) | (~v129(constB16, bitIndex0)) | (~v100(constB16)))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3292,plain,
% 24.01/15.77 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB16, bitIndex0) | (~v100(constB16)) | (~v129(constB16, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB16, bitIndex0) | (~v129(constB16, bitIndex0)) | (~v100(constB16))))),
% 24.01/15.77 inference(monotonicity,[status(thm)],[3291])).
% 24.01/15.77 tff(3293,plain,
% 24.01/15.77 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB16, bitIndex0) | (~v100(constB16)) | (~v129(constB16, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB16, bitIndex0) | (~v129(constB16, bitIndex0)) | (~v100(constB16)))),
% 24.01/15.77 inference(transitivity,[status(thm)],[3292, 3290])).
% 24.01/15.77 tff(3294,plain,
% 24.01/15.77 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB16, bitIndex0) | (~v100(constB16)) | (~v129(constB16, bitIndex0)))),
% 24.01/15.77 inference(quant_inst,[status(thm)],[])).
% 24.01/15.77 tff(3295,plain,
% 24.01/15.77 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB16, bitIndex0) | (~v129(constB16, bitIndex0)) | (~v100(constB16))),
% 24.01/15.77 inference(modus_ponens,[status(thm)],[3294, 3293])).
% 24.01/15.77 tff(3296,plain,
% 24.01/15.77 (v90(constB16, bitIndex0) | (~v100(constB16))),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3295, 1975, 3289])).
% 24.01/15.77 tff(3297,plain,
% 24.01/15.77 (v90(constB16, bitIndex0)),
% 24.01/15.77 inference(unit_resolution,[status(thm)],[3296, 3144])).
% 24.01/15.77 tff(3298,plain,
% 24.01/15.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex0))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3299,plain,
% 24.01/15.77 (((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex0)) | v100(constB17) | v90(constB17, bitIndex0)) <=> ((~v90(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex0))),
% 24.01/15.77 inference(rewrite,[status(thm)],[])).
% 24.01/15.77 tff(3300,plain,
% 24.01/15.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex0)) | v100(constB17) | v90(constB17, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex0)))),
% 24.01/15.78 inference(monotonicity,[status(thm)],[3299])).
% 24.01/15.78 tff(3301,plain,
% 24.01/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex0)) | v100(constB17) | v90(constB17, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex0))),
% 24.01/15.78 inference(transitivity,[status(thm)],[3300, 3298])).
% 24.01/15.78 tff(3302,plain,
% 24.01/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex0)) | v100(constB17) | v90(constB17, bitIndex0))),
% 24.01/15.78 inference(quant_inst,[status(thm)],[])).
% 24.01/15.78 tff(3303,plain,
% 24.01/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex0)),
% 24.01/15.78 inference(modus_ponens,[status(thm)],[3302, 3301])).
% 24.01/15.78 tff(3304,plain,
% 24.01/15.78 ((~v90(constB16, bitIndex0)) | v100(constB17) | v90(constB17, bitIndex0)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3303, 1993, 3218])).
% 24.01/15.78 tff(3305,plain,
% 24.01/15.78 ((~v90(constB16, bitIndex0)) | v90(constB17, bitIndex0)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3304, 3230])).
% 24.01/15.78 tff(3306,plain,
% 24.01/15.78 (v90(constB17, bitIndex0)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3305, 3297])).
% 24.01/15.78 tff(3307,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3308,plain,
% 24.01/15.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17))),
% 24.01/15.78 inference(quant_inst,[status(thm)],[])).
% 24.01/15.78 tff(3309,plain,
% 24.01/15.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17)),
% 24.01/15.78 inference(modus_ponens,[status(thm)],[3308, 3307])).
% 24.01/15.78 tff(3310,plain,
% 24.01/15.78 (v120(constB17)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3309, 2012, 3306, 3274, 3239])).
% 24.01/15.78 tff(3311,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB17) | (~v120(constB17)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB17) | (~v120(constB17)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3312,plain,
% 24.01/15.78 (((~v120(constB17)) | v118(constB17)) <=> (v118(constB17) | (~v120(constB17)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3313,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB17)) | v118(constB17))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB17) | (~v120(constB17))))),
% 24.01/15.78 inference(monotonicity,[status(thm)],[3312])).
% 24.01/15.78 tff(3314,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB17)) | v118(constB17))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB17) | (~v120(constB17)))),
% 24.01/15.78 inference(transitivity,[status(thm)],[3313, 3311])).
% 24.01/15.78 tff(3315,plain,
% 24.01/15.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB17)) | v118(constB17))),
% 24.01/15.78 inference(quant_inst,[status(thm)],[])).
% 24.01/15.78 tff(3316,plain,
% 24.01/15.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB17) | (~v120(constB17))),
% 24.01/15.78 inference(modus_ponens,[status(thm)],[3315, 3314])).
% 24.01/15.78 tff(3317,plain,
% 24.01/15.78 (v118(constB17)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3316, 2210, 3310])).
% 24.01/15.78 tff(3318,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB17) | (~v118(constB17)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB17) | (~v118(constB17)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3319,plain,
% 24.01/15.78 (((~v118(constB17)) | v117(constB17)) <=> (v117(constB17) | (~v118(constB17)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3320,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB17)) | v117(constB17))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB17) | (~v118(constB17))))),
% 24.01/15.78 inference(monotonicity,[status(thm)],[3319])).
% 24.01/15.78 tff(3321,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB17)) | v117(constB17))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB17) | (~v118(constB17)))),
% 24.01/15.78 inference(transitivity,[status(thm)],[3320, 3318])).
% 24.01/15.78 tff(3322,plain,
% 24.01/15.78 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB17)) | v117(constB17))),
% 24.01/15.78 inference(quant_inst,[status(thm)],[])).
% 24.01/15.78 tff(3323,plain,
% 24.01/15.78 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB17) | (~v118(constB17))),
% 24.01/15.78 inference(modus_ponens,[status(thm)],[3322, 3321])).
% 24.01/15.78 tff(3324,plain,
% 24.01/15.78 (v117(constB17)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3323, 980, 3317])).
% 24.01/15.78 tff(3325,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB17) | (~v117(constB17)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB17) | (~v117(constB17)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3326,plain,
% 24.01/15.78 (((~v117(constB17)) | v116(constB17)) <=> (v116(constB17) | (~v117(constB17)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3327,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB17)) | v116(constB17))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB17) | (~v117(constB17))))),
% 24.01/15.78 inference(monotonicity,[status(thm)],[3326])).
% 24.01/15.78 tff(3328,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB17)) | v116(constB17))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB17) | (~v117(constB17)))),
% 24.01/15.78 inference(transitivity,[status(thm)],[3327, 3325])).
% 24.01/15.78 tff(3329,plain,
% 24.01/15.78 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB17)) | v116(constB17))),
% 24.01/15.78 inference(quant_inst,[status(thm)],[])).
% 24.01/15.78 tff(3330,plain,
% 24.01/15.78 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB17) | (~v117(constB17))),
% 24.01/15.78 inference(modus_ponens,[status(thm)],[3329, 3328])).
% 24.01/15.78 tff(3331,plain,
% 24.01/15.78 (v116(constB17)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3330, 994, 3324])).
% 24.01/15.78 tff(3332,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB17) | (~v116(constB17)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB17) | (~v116(constB17)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3333,plain,
% 24.01/15.78 (((~v116(constB17)) | v115(constB17)) <=> (v115(constB17) | (~v116(constB17)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3334,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB17)) | v115(constB17))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB17) | (~v116(constB17))))),
% 24.01/15.78 inference(monotonicity,[status(thm)],[3333])).
% 24.01/15.78 tff(3335,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB17)) | v115(constB17))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB17) | (~v116(constB17)))),
% 24.01/15.78 inference(transitivity,[status(thm)],[3334, 3332])).
% 24.01/15.78 tff(3336,plain,
% 24.01/15.78 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB17)) | v115(constB17))),
% 24.01/15.78 inference(quant_inst,[status(thm)],[])).
% 24.01/15.78 tff(3337,plain,
% 24.01/15.78 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB17) | (~v116(constB17))),
% 24.01/15.78 inference(modus_ponens,[status(thm)],[3336, 3335])).
% 24.01/15.78 tff(3338,plain,
% 24.01/15.78 (v115(constB17)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3337, 1008, 3331])).
% 24.01/15.78 tff(3339,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB17) | (~v115(constB17)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB17) | (~v115(constB17)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3340,plain,
% 24.01/15.78 (((~v115(constB17)) | v114(constB17)) <=> (v114(constB17) | (~v115(constB17)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3341,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB17)) | v114(constB17))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB17) | (~v115(constB17))))),
% 24.01/15.78 inference(monotonicity,[status(thm)],[3340])).
% 24.01/15.78 tff(3342,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB17)) | v114(constB17))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB17) | (~v115(constB17)))),
% 24.01/15.78 inference(transitivity,[status(thm)],[3341, 3339])).
% 24.01/15.78 tff(3343,plain,
% 24.01/15.78 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB17)) | v114(constB17))),
% 24.01/15.78 inference(quant_inst,[status(thm)],[])).
% 24.01/15.78 tff(3344,plain,
% 24.01/15.78 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB17) | (~v115(constB17))),
% 24.01/15.78 inference(modus_ponens,[status(thm)],[3343, 3342])).
% 24.01/15.78 tff(3345,plain,
% 24.01/15.78 (v114(constB17)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3344, 1022, 3338])).
% 24.01/15.78 tff(3346,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB17) | (~v114(constB17)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB17) | (~v114(constB17)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3347,plain,
% 24.01/15.78 (((~v114(constB17)) | v113(constB17)) <=> (v113(constB17) | (~v114(constB17)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3348,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB17)) | v113(constB17))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB17) | (~v114(constB17))))),
% 24.01/15.78 inference(monotonicity,[status(thm)],[3347])).
% 24.01/15.78 tff(3349,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB17)) | v113(constB17))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB17) | (~v114(constB17)))),
% 24.01/15.78 inference(transitivity,[status(thm)],[3348, 3346])).
% 24.01/15.78 tff(3350,plain,
% 24.01/15.78 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB17)) | v113(constB17))),
% 24.01/15.78 inference(quant_inst,[status(thm)],[])).
% 24.01/15.78 tff(3351,plain,
% 24.01/15.78 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB17) | (~v114(constB17))),
% 24.01/15.78 inference(modus_ponens,[status(thm)],[3350, 3349])).
% 24.01/15.78 tff(3352,plain,
% 24.01/15.78 (v113(constB17)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3351, 1036, 3345])).
% 24.01/15.78 tff(3353,assumption,(v26(constB17)), introduced(assumption)).
% 24.01/15.78 tff(3354,plain,
% 24.01/15.78 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB17))),
% 24.01/15.78 inference(quant_inst,[status(thm)],[])).
% 24.01/15.78 tff(3355,plain,
% 24.01/15.78 ($false),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3354, 797, 3353])).
% 24.01/15.78 tff(3356,plain,(~v26(constB17)), inference(lemma,lemma(discharge,[]))).
% 24.01/15.78 tff(3357,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | (~v113(constB17)) | v112(constB17))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3358,plain,
% 24.01/15.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))),
% 24.01/15.78 inference(quant_inst,[status(thm)],[])).
% 24.01/15.78 tff(3359,plain,
% 24.01/15.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | (~v113(constB17)) | v112(constB17)),
% 24.01/15.78 inference(modus_ponens,[status(thm)],[3358, 3357])).
% 24.01/15.78 tff(3360,plain,
% 24.01/15.78 ((~v113(constB17)) | v112(constB17)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3359, 1050, 3356])).
% 24.01/15.78 tff(3361,plain,
% 24.01/15.78 (v112(constB17)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3360, 3352])).
% 24.01/15.78 tff(3362,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB17) | (~v112(constB17)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB17) | (~v112(constB17)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3363,plain,
% 24.01/15.78 (((~v112(constB17)) | v108(constB17)) <=> (v108(constB17) | (~v112(constB17)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3364,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB17)) | v108(constB17))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB17) | (~v112(constB17))))),
% 24.01/15.78 inference(monotonicity,[status(thm)],[3363])).
% 24.01/15.78 tff(3365,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB17)) | v108(constB17))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB17) | (~v112(constB17)))),
% 24.01/15.78 inference(transitivity,[status(thm)],[3364, 3362])).
% 24.01/15.78 tff(3366,plain,
% 24.01/15.78 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB17)) | v108(constB17))),
% 24.01/15.78 inference(quant_inst,[status(thm)],[])).
% 24.01/15.78 tff(3367,plain,
% 24.01/15.78 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB17) | (~v112(constB17))),
% 24.01/15.78 inference(modus_ponens,[status(thm)],[3366, 3365])).
% 24.01/15.78 tff(3368,plain,
% 24.01/15.78 (v108(constB17)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3367, 1062, 3361])).
% 24.01/15.78 tff(3369,plain,
% 24.01/15.78 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3370,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_17_1')).
% 24.01/15.78 tff(3371,plain,
% 24.01/15.78 (nextState(constB17, constB18)),
% 24.01/15.78 inference(modus_ponens,[status(thm)],[3370, 3369])).
% 24.01/15.78 tff(3372,plain,
% 24.01/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3373,plain,
% 24.01/15.78 (((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18)) <=> ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3374,plain,
% 24.01/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17))))),
% 24.01/15.78 inference(monotonicity,[status(thm)],[3373])).
% 24.01/15.78 tff(3375,plain,
% 24.01/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 24.01/15.78 inference(transitivity,[status(thm)],[3374, 3372])).
% 24.01/15.78 tff(3376,plain,
% 24.01/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))),
% 24.01/15.78 inference(quant_inst,[status(thm)],[])).
% 24.01/15.78 tff(3377,plain,
% 24.01/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17))),
% 24.01/15.78 inference(modus_ponens,[status(thm)],[3376, 3375])).
% 24.01/15.78 tff(3378,plain,
% 24.01/15.78 (v110(constB18) | (~v108(constB17))),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3377, 1082, 3371])).
% 24.01/15.78 tff(3379,plain,
% 24.01/15.78 (v110(constB18)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3378, 3368])).
% 24.01/15.78 tff(3380,plain,
% 24.01/15.78 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3381,plain,
% 24.01/15.78 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))),
% 24.01/15.78 inference(quant_inst,[status(thm)],[])).
% 24.01/15.78 tff(3382,plain,
% 24.01/15.78 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18))),
% 24.01/15.78 inference(modus_ponens,[status(thm)],[3381, 3380])).
% 24.01/15.78 tff(3383,plain,
% 24.01/15.78 (~v104(constB18)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3382, 1100, 3371, 3215])).
% 24.01/15.78 tff(3384,plain,
% 24.01/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3385,plain,
% 24.01/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))),
% 24.01/15.78 inference(quant_inst,[status(thm)],[])).
% 24.01/15.78 tff(3386,plain,
% 24.01/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v102(constB18) | v104(constB18)),
% 24.01/15.78 inference(modus_ponens,[status(thm)],[3385, 3384])).
% 24.01/15.78 tff(3387,plain,
% 24.01/15.78 (v102(constB18) | v104(constB18)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3386, 1114, 3371])).
% 24.01/15.78 tff(3388,plain,
% 24.01/15.78 (v102(constB18)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3387, 3383])).
% 24.01/15.78 tff(3389,plain,
% 24.01/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3390,plain,
% 24.01/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))),
% 24.01/15.78 inference(quant_inst,[status(thm)],[])).
% 24.01/15.78 tff(3391,plain,
% 24.01/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18))),
% 24.01/15.78 inference(modus_ponens,[status(thm)],[3390, 3389])).
% 24.01/15.78 tff(3392,plain,
% 24.01/15.78 (v101(constB18) | (~v102(constB18))),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3391, 1129, 3371, 460])).
% 24.01/15.78 tff(3393,plain,
% 24.01/15.78 (v101(constB18)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3392, 3388])).
% 24.01/15.78 tff(3394,plain,
% 24.01/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3395,plain,
% 24.01/15.78 (((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18)) <=> ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3396,plain,
% 24.01/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18))))),
% 24.01/15.78 inference(monotonicity,[status(thm)],[3395])).
% 24.01/15.78 tff(3397,plain,
% 24.01/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 24.01/15.78 inference(transitivity,[status(thm)],[3396, 3394])).
% 24.01/15.78 tff(3398,plain,
% 24.01/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))),
% 24.01/15.78 inference(quant_inst,[status(thm)],[])).
% 24.01/15.78 tff(3399,plain,
% 24.01/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 24.01/15.78 inference(modus_ponens,[status(thm)],[3398, 3397])).
% 24.01/15.78 tff(3400,plain,
% 24.01/15.78 (v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3399, 1144, 3371])).
% 24.01/15.78 tff(3401,plain,
% 24.01/15.78 (v100(constB18) | (~v110(constB18))),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3400, 3393])).
% 24.01/15.78 tff(3402,plain,
% 24.01/15.78 (v100(constB18)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3401, 3379])).
% 24.01/15.78 tff(3403,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB17)) | (~v130(constB17, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB17)) | (~v130(constB17, bitIndex2)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3404,plain,
% 24.01/15.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB17)) | (~v130(constB17, bitIndex2)))),
% 24.01/15.78 inference(quant_inst,[status(thm)],[])).
% 24.01/15.78 tff(3405,plain,
% 24.01/15.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB17)) | (~v130(constB17, bitIndex2))),
% 24.01/15.78 inference(modus_ponens,[status(thm)],[3404, 3403])).
% 24.01/15.78 tff(3406,plain,
% 24.01/15.78 (~v130(constB17, bitIndex2)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3405, 2231, 3310])).
% 24.01/15.78 tff(3407,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3408,plain,
% 24.01/15.78 ((v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2))) <=> ((~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3409,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2)))),
% 24.01/15.78 inference(monotonicity,[status(thm)],[3408])).
% 24.01/15.78 tff(3410,plain,
% 24.01/15.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))),
% 24.01/15.78 inference(transitivity,[status(thm)],[3409, 3407])).
% 24.01/15.78 tff(3411,plain,
% 24.01/15.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2)))),
% 24.01/15.78 inference(quant_inst,[status(thm)],[])).
% 24.01/15.78 tff(3412,plain,
% 24.01/15.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2)),
% 24.01/15.78 inference(modus_ponens,[status(thm)],[3411, 3410])).
% 24.01/15.78 tff(3413,plain,
% 24.01/15.78 ((~v127(constB17, bitIndex2)) | v130(constB17, bitIndex2)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3412, 1812, 3356])).
% 24.01/15.78 tff(3414,plain,
% 24.01/15.78 (~v127(constB17, bitIndex2)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3413, 3406])).
% 24.01/15.78 tff(3415,plain,
% 24.01/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3416,plain,
% 24.01/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2)))),
% 24.01/15.78 inference(quant_inst,[status(thm)],[])).
% 24.01/15.78 tff(3417,plain,
% 24.01/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2))),
% 24.01/15.78 inference(modus_ponens,[status(thm)],[3416, 3415])).
% 24.01/15.78 tff(3418,plain,
% 24.01/15.78 (v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2))),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3417, 1830, 3371])).
% 24.01/15.78 tff(3419,plain,
% 24.01/15.78 (~v129(constB18, bitIndex2)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3418, 3414])).
% 24.01/15.78 tff(3420,plain,
% 24.01/15.78 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3421,plain,
% 24.01/15.78 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))),
% 24.01/15.78 inference(quant_inst,[status(thm)],[])).
% 24.01/15.78 tff(3422,plain,
% 24.01/15.78 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18))),
% 24.01/15.78 inference(modus_ponens,[status(thm)],[3421, 3420])).
% 24.01/15.78 tff(3423,plain,
% 24.01/15.78 ((~v90(constB18, bitIndex2)) | (~v100(constB18))),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3422, 1845, 3419])).
% 24.01/15.78 tff(3424,plain,
% 24.01/15.78 (~v90(constB18, bitIndex2)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3423, 3402])).
% 24.01/15.78 tff(3425,plain,
% 24.01/15.78 ((~v1(constB19)) <=> (~v1(constB19))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3426,axiom,(~v1(constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_19_1_1')).
% 24.01/15.78 tff(3427,plain,
% 24.01/15.78 (~v1(constB19)),
% 24.01/15.78 inference(modus_ponens,[status(thm)],[3426, 3425])).
% 24.01/15.78 tff(3428,plain,
% 24.01/15.78 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3429,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_18_1')).
% 24.01/15.78 tff(3430,plain,
% 24.01/15.78 (nextState(constB18, constB19)),
% 24.01/15.78 inference(modus_ponens,[status(thm)],[3429, 3428])).
% 24.01/15.78 tff(3431,plain,
% 24.01/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3432,plain,
% 24.01/15.78 (((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19)) <=> (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3433,plain,
% 24.01/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19))))),
% 24.01/15.78 inference(monotonicity,[status(thm)],[3432])).
% 24.01/15.78 tff(3434,plain,
% 24.01/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 24.01/15.78 inference(transitivity,[status(thm)],[3433, 3431])).
% 24.01/15.78 tff(3435,plain,
% 24.01/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))),
% 24.01/15.78 inference(quant_inst,[status(thm)],[])).
% 24.01/15.78 tff(3436,plain,
% 24.01/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19))),
% 24.01/15.78 inference(modus_ponens,[status(thm)],[3435, 3434])).
% 24.01/15.78 tff(3437,plain,
% 24.01/15.78 (~v101(constB19)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3436, 860, 3430, 3427])).
% 24.01/15.78 tff(3438,plain,
% 24.01/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3439,plain,
% 24.01/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))),
% 24.01/15.78 inference(quant_inst,[status(thm)],[])).
% 24.01/15.78 tff(3440,plain,
% 24.01/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19))),
% 24.01/15.78 inference(modus_ponens,[status(thm)],[3439, 3438])).
% 24.01/15.78 tff(3441,plain,
% 24.01/15.78 (v101(constB19) | (~v100(constB19))),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3440, 877, 3430])).
% 24.01/15.78 tff(3442,plain,
% 24.01/15.78 (~v100(constB19)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3441, 3437])).
% 24.01/15.78 tff(3443,plain,
% 24.01/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3444,plain,
% 24.01/15.78 (((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2))) <=> (v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 24.01/15.78 inference(rewrite,[status(thm)],[])).
% 24.01/15.78 tff(3445,plain,
% 24.01/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2))))),
% 24.01/15.78 inference(monotonicity,[status(thm)],[3444])).
% 24.01/15.78 tff(3446,plain,
% 24.01/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 24.01/15.78 inference(transitivity,[status(thm)],[3445, 3443])).
% 24.01/15.78 tff(3447,plain,
% 24.01/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 24.01/15.78 inference(quant_inst,[status(thm)],[])).
% 24.01/15.78 tff(3448,plain,
% 24.01/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2))),
% 24.01/15.78 inference(modus_ponens,[status(thm)],[3447, 3446])).
% 24.01/15.78 tff(3449,plain,
% 24.01/15.78 (v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2))),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3448, 892, 3430])).
% 24.01/15.78 tff(3450,plain,
% 24.01/15.78 (v90(constB18, bitIndex2) | (~v90(constB19, bitIndex2))),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3449, 3442])).
% 24.01/15.78 tff(3451,plain,
% 24.01/15.78 (~v90(constB19, bitIndex2)),
% 24.01/15.78 inference(unit_resolution,[status(thm)],[3450, 3424])).
% 24.01/15.79 tff(3452,plain,
% 24.01/15.79 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB17)) | v130(constB17, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB17)) | v130(constB17, bitIndex1))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3453,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB17)) | v130(constB17, bitIndex1))),
% 24.01/15.79 inference(quant_inst,[status(thm)],[])).
% 24.01/15.79 tff(3454,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB17)) | v130(constB17, bitIndex1)),
% 24.01/15.79 inference(modus_ponens,[status(thm)],[3453, 3452])).
% 24.01/15.79 tff(3455,plain,
% 24.01/15.79 (v130(constB17, bitIndex1)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3454, 2034, 3310])).
% 24.01/15.79 tff(3456,plain,
% 24.01/15.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3457,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1))),
% 24.01/15.79 inference(quant_inst,[status(thm)],[])).
% 24.01/15.79 tff(3458,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1)),
% 24.01/15.79 inference(modus_ponens,[status(thm)],[3457, 3456])).
% 24.01/15.79 tff(3459,plain,
% 24.01/15.79 ((~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3458, 1553, 3356])).
% 24.01/15.79 tff(3460,plain,
% 24.01/15.79 (v127(constB17, bitIndex1)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3459, 3455])).
% 24.01/15.79 tff(3461,plain,
% 24.01/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3462,plain,
% 24.01/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1))),
% 24.01/15.79 inference(quant_inst,[status(thm)],[])).
% 24.01/15.79 tff(3463,plain,
% 24.01/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1)),
% 24.01/15.79 inference(modus_ponens,[status(thm)],[3462, 3461])).
% 24.01/15.79 tff(3464,plain,
% 24.01/15.79 ((~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3463, 1568, 3371])).
% 24.01/15.79 tff(3465,plain,
% 24.01/15.79 (v129(constB18, bitIndex1)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3464, 3460])).
% 24.01/15.79 tff(3466,plain,
% 24.01/15.79 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3467,plain,
% 24.01/15.79 ((v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1))) <=> (v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3468,plain,
% 24.01/15.79 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18))))),
% 24.01/15.79 inference(monotonicity,[status(thm)],[3467])).
% 24.01/15.79 tff(3469,plain,
% 24.01/15.79 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))),
% 24.01/15.79 inference(transitivity,[status(thm)],[3468, 3466])).
% 24.01/15.79 tff(3470,plain,
% 24.01/15.79 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1)))),
% 24.01/15.79 inference(quant_inst,[status(thm)],[])).
% 24.01/15.79 tff(3471,plain,
% 24.01/15.79 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18))),
% 24.01/15.79 inference(modus_ponens,[status(thm)],[3470, 3469])).
% 24.01/15.79 tff(3472,plain,
% 24.01/15.79 (v90(constB18, bitIndex1) | (~v100(constB18))),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3471, 1583, 3465])).
% 24.01/15.79 tff(3473,plain,
% 24.01/15.79 (v90(constB18, bitIndex1)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3472, 3402])).
% 24.01/15.79 tff(3474,plain,
% 24.01/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3475,plain,
% 24.01/15.79 (((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1)) <=> ((~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3476,plain,
% 24.01/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1)))),
% 24.01/15.79 inference(monotonicity,[status(thm)],[3475])).
% 24.01/15.79 tff(3477,plain,
% 24.01/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))),
% 24.01/15.79 inference(transitivity,[status(thm)],[3476, 3474])).
% 24.01/15.79 tff(3478,plain,
% 24.01/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1))),
% 24.01/15.79 inference(quant_inst,[status(thm)],[])).
% 24.01/15.79 tff(3479,plain,
% 24.01/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1)),
% 24.01/15.79 inference(modus_ponens,[status(thm)],[3478, 3477])).
% 24.01/15.79 tff(3480,plain,
% 24.01/15.79 ((~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3479, 1601, 3430])).
% 24.01/15.79 tff(3481,plain,
% 24.01/15.79 ((~v90(constB18, bitIndex1)) | v90(constB19, bitIndex1)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3480, 3442])).
% 24.01/15.79 tff(3482,plain,
% 24.01/15.79 (v90(constB19, bitIndex1)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3481, 3473])).
% 24.01/15.79 tff(3483,plain,
% 24.01/15.79 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB17)) | (~v130(constB17, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB17)) | (~v130(constB17, bitIndex0)))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3484,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB17)) | (~v130(constB17, bitIndex0)))),
% 24.01/15.79 inference(quant_inst,[status(thm)],[])).
% 24.01/15.79 tff(3485,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB17)) | (~v130(constB17, bitIndex0))),
% 24.01/15.79 inference(modus_ponens,[status(thm)],[3484, 3483])).
% 24.01/15.79 tff(3486,plain,
% 24.01/15.79 (~v130(constB17, bitIndex0)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3485, 2023, 3310])).
% 24.01/15.79 tff(3487,plain,
% 24.01/15.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3488,plain,
% 24.01/15.79 ((v26(constB17) | v130(constB17, bitIndex0) | (~v127(constB17, bitIndex0))) <=> ((~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3489,plain,
% 24.01/15.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB17) | v130(constB17, bitIndex0) | (~v127(constB17, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0)))),
% 24.01/15.79 inference(monotonicity,[status(thm)],[3488])).
% 24.01/15.79 tff(3490,plain,
% 24.01/15.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB17) | v130(constB17, bitIndex0) | (~v127(constB17, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0))),
% 24.01/15.79 inference(transitivity,[status(thm)],[3489, 3487])).
% 24.01/15.79 tff(3491,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB17) | v130(constB17, bitIndex0) | (~v127(constB17, bitIndex0)))),
% 24.01/15.79 inference(quant_inst,[status(thm)],[])).
% 24.01/15.79 tff(3492,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0)),
% 24.01/15.79 inference(modus_ponens,[status(thm)],[3491, 3490])).
% 24.01/15.79 tff(3493,plain,
% 24.01/15.79 ((~v127(constB17, bitIndex0)) | v130(constB17, bitIndex0)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3492, 1341, 3356])).
% 24.01/15.79 tff(3494,plain,
% 24.01/15.79 (~v127(constB17, bitIndex0)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3493, 3486])).
% 24.01/15.79 tff(3495,plain,
% 24.01/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0)))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3496,plain,
% 24.01/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0)))),
% 24.01/15.79 inference(quant_inst,[status(thm)],[])).
% 24.01/15.79 tff(3497,plain,
% 24.01/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0))),
% 24.01/15.79 inference(modus_ponens,[status(thm)],[3496, 3495])).
% 24.01/15.79 tff(3498,plain,
% 24.01/15.79 (v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0))),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3497, 1359, 3371])).
% 24.01/15.79 tff(3499,plain,
% 24.01/15.79 (~v129(constB18, bitIndex0)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3498, 3494])).
% 24.01/15.79 tff(3500,plain,
% 24.01/15.79 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18)))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3501,plain,
% 24.01/15.79 (((~v90(constB18, bitIndex0)) | (~v100(constB18)) | v129(constB18, bitIndex0)) <=> ((~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18)))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3502,plain,
% 24.01/15.79 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | (~v100(constB18)) | v129(constB18, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18))))),
% 24.01/15.79 inference(monotonicity,[status(thm)],[3501])).
% 24.01/15.79 tff(3503,plain,
% 24.01/15.79 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | (~v100(constB18)) | v129(constB18, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18)))),
% 24.01/15.79 inference(transitivity,[status(thm)],[3502, 3500])).
% 24.01/15.79 tff(3504,plain,
% 24.01/15.79 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | (~v100(constB18)) | v129(constB18, bitIndex0))),
% 24.01/15.79 inference(quant_inst,[status(thm)],[])).
% 24.01/15.79 tff(3505,plain,
% 24.01/15.79 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18))),
% 24.01/15.79 inference(modus_ponens,[status(thm)],[3504, 3503])).
% 24.01/15.79 tff(3506,plain,
% 24.01/15.79 ((~v90(constB18, bitIndex0)) | (~v100(constB18))),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3505, 1374, 3499])).
% 24.01/15.79 tff(3507,plain,
% 24.01/15.79 (~v90(constB18, bitIndex0)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3506, 3402])).
% 24.01/15.79 tff(3508,plain,
% 24.01/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0)))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3509,plain,
% 24.01/15.79 (((~nextState(constB18, constB19)) | v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0))) <=> (v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0)))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3510,plain,
% 24.01/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0))))),
% 24.01/15.79 inference(monotonicity,[status(thm)],[3509])).
% 24.01/15.79 tff(3511,plain,
% 24.01/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0)))),
% 24.01/15.79 inference(transitivity,[status(thm)],[3510, 3508])).
% 24.01/15.79 tff(3512,plain,
% 24.01/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0)))),
% 24.01/15.79 inference(quant_inst,[status(thm)],[])).
% 24.01/15.79 tff(3513,plain,
% 24.01/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0))),
% 24.01/15.79 inference(modus_ponens,[status(thm)],[3512, 3511])).
% 24.01/15.79 tff(3514,plain,
% 24.01/15.79 (v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0))),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3513, 934, 3430])).
% 24.01/15.79 tff(3515,plain,
% 24.01/15.79 (v90(constB18, bitIndex0) | (~v90(constB19, bitIndex0))),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3514, 3442])).
% 24.01/15.79 tff(3516,plain,
% 24.01/15.79 (~v90(constB19, bitIndex0)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3515, 3507])).
% 24.01/15.79 tff(3517,plain,
% 24.01/15.79 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v121(constB19))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v121(constB19))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3518,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v121(constB19))),
% 24.01/15.79 inference(quant_inst,[status(thm)],[])).
% 24.01/15.79 tff(3519,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v121(constB19)),
% 24.01/15.79 inference(modus_ponens,[status(thm)],[3518, 3517])).
% 24.01/15.79 tff(3520,plain,
% 24.01/15.79 (v121(constB19)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3519, 2145, 3516, 3482, 3451])).
% 24.01/15.79 tff(3521,plain,
% 24.01/15.79 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB19)) | v130(constB19, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB19)) | v130(constB19, bitIndex0))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3522,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB19)) | v130(constB19, bitIndex0))),
% 24.01/15.79 inference(quant_inst,[status(thm)],[])).
% 24.01/15.79 tff(3523,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB19)) | v130(constB19, bitIndex0)),
% 24.01/15.79 inference(modus_ponens,[status(thm)],[3522, 3521])).
% 24.01/15.79 tff(3524,plain,
% 24.01/15.79 (v130(constB19, bitIndex0)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3523, 2600, 3520])).
% 24.01/15.79 tff(3525,plain,
% 24.01/15.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB19) | (~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB19) | (~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3526,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB19) | (~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0))),
% 24.01/15.79 inference(quant_inst,[status(thm)],[])).
% 24.01/15.79 tff(3527,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB19) | (~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0)),
% 24.01/15.79 inference(modus_ponens,[status(thm)],[3526, 3525])).
% 24.01/15.79 tff(3528,plain,
% 24.01/15.79 (v26(constB19) | v127(constB19, bitIndex0)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3527, 1945, 3524])).
% 24.01/15.79 tff(3529,plain,
% 24.01/15.79 (v127(constB19, bitIndex0)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3528, 824])).
% 24.01/15.79 tff(3530,plain,
% 24.01/15.79 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3531,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_19_1')).
% 24.01/15.79 tff(3532,plain,
% 24.01/15.79 (nextState(constB19, constB20)),
% 24.01/15.79 inference(modus_ponens,[status(thm)],[3531, 3530])).
% 24.01/15.79 tff(3533,plain,
% 24.01/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3534,plain,
% 24.01/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0))),
% 24.01/15.79 inference(quant_inst,[status(thm)],[])).
% 24.01/15.79 tff(3535,plain,
% 24.01/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0)),
% 24.01/15.79 inference(modus_ponens,[status(thm)],[3534, 3533])).
% 24.01/15.79 tff(3536,plain,
% 24.01/15.79 ((~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3535, 1960, 3532])).
% 24.01/15.79 tff(3537,plain,
% 24.01/15.79 (v129(constB20, bitIndex0)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3536, 3529])).
% 24.01/15.79 tff(3538,assumption,(~v108(constB19)), introduced(assumption)).
% 24.01/15.79 tff(3539,plain,
% 24.01/15.79 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB19) | (~v112(constB19)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v112(constB19)))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3540,plain,
% 24.01/15.79 (((~v112(constB19)) | v108(constB19)) <=> (v108(constB19) | (~v112(constB19)))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3541,plain,
% 24.01/15.79 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB19)) | v108(constB19))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB19) | (~v112(constB19))))),
% 24.01/15.79 inference(monotonicity,[status(thm)],[3540])).
% 24.01/15.79 tff(3542,plain,
% 24.01/15.79 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB19)) | v108(constB19))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v112(constB19)))),
% 24.01/15.79 inference(transitivity,[status(thm)],[3541, 3539])).
% 24.01/15.79 tff(3543,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB19)) | v108(constB19))),
% 24.01/15.79 inference(quant_inst,[status(thm)],[])).
% 24.01/15.79 tff(3544,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v112(constB19))),
% 24.01/15.79 inference(modus_ponens,[status(thm)],[3543, 3542])).
% 24.01/15.79 tff(3545,plain,
% 24.01/15.79 (~v112(constB19)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3544, 1062, 3538])).
% 24.01/15.79 tff(3546,plain,
% 24.01/15.79 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB19) | (~v26(constB19)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v26(constB19)))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3547,plain,
% 24.01/15.79 (((~v26(constB19)) | v108(constB19)) <=> (v108(constB19) | (~v26(constB19)))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3548,plain,
% 24.01/15.79 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB19)) | v108(constB19))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB19) | (~v26(constB19))))),
% 24.01/15.79 inference(monotonicity,[status(thm)],[3547])).
% 24.01/15.79 tff(3549,plain,
% 24.01/15.79 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB19)) | v108(constB19))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v26(constB19)))),
% 24.01/15.79 inference(transitivity,[status(thm)],[3548, 3546])).
% 24.01/15.79 tff(3550,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB19)) | v108(constB19))),
% 24.01/15.79 inference(quant_inst,[status(thm)],[])).
% 24.01/15.79 tff(3551,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v26(constB19))),
% 24.01/15.79 inference(modus_ponens,[status(thm)],[3550, 3549])).
% 24.01/15.79 tff(3552,plain,
% 24.01/15.79 (~v26(constB19)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3551, 2441, 3538])).
% 24.01/15.79 tff(3553,plain,
% 24.01/15.79 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB19)) | v117(constB19))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB19)) | v117(constB19))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3554,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB19)) | v117(constB19))),
% 24.01/15.79 inference(quant_inst,[status(thm)],[])).
% 24.01/15.79 tff(3555,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB19)) | v117(constB19)),
% 24.01/15.79 inference(modus_ponens,[status(thm)],[3554, 3553])).
% 24.01/15.79 tff(3556,plain,
% 24.01/15.79 (v117(constB19)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3555, 2102, 3520])).
% 24.01/15.79 tff(3557,plain,
% 24.01/15.79 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB19)) | v116(constB19))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB19)) | v116(constB19))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3558,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB19)) | v116(constB19))),
% 24.01/15.79 inference(quant_inst,[status(thm)],[])).
% 24.01/15.79 tff(3559,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB19)) | v116(constB19)),
% 24.01/15.79 inference(modus_ponens,[status(thm)],[3558, 3557])).
% 24.01/15.79 tff(3560,plain,
% 24.01/15.79 (v116(constB19)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3559, 994, 3556])).
% 24.01/15.79 tff(3561,plain,
% 24.01/15.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB19)) | v115(constB19))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB19)) | v115(constB19))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3562,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB19)) | v115(constB19))),
% 24.01/15.79 inference(quant_inst,[status(thm)],[])).
% 24.01/15.79 tff(3563,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB19)) | v115(constB19)),
% 24.01/15.79 inference(modus_ponens,[status(thm)],[3562, 3561])).
% 24.01/15.79 tff(3564,plain,
% 24.01/15.79 (v115(constB19)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3563, 1008, 3560])).
% 24.01/15.79 tff(3565,plain,
% 24.01/15.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB19) | (~v115(constB19)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB19) | (~v115(constB19)))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3566,plain,
% 24.01/15.79 (((~v115(constB19)) | v114(constB19)) <=> (v114(constB19) | (~v115(constB19)))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3567,plain,
% 24.01/15.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB19)) | v114(constB19))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB19) | (~v115(constB19))))),
% 24.01/15.79 inference(monotonicity,[status(thm)],[3566])).
% 24.01/15.79 tff(3568,plain,
% 24.01/15.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB19)) | v114(constB19))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB19) | (~v115(constB19)))),
% 24.01/15.79 inference(transitivity,[status(thm)],[3567, 3565])).
% 24.01/15.79 tff(3569,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB19)) | v114(constB19))),
% 24.01/15.79 inference(quant_inst,[status(thm)],[])).
% 24.01/15.79 tff(3570,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB19) | (~v115(constB19))),
% 24.01/15.79 inference(modus_ponens,[status(thm)],[3569, 3568])).
% 24.01/15.79 tff(3571,plain,
% 24.01/15.79 (v114(constB19)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3570, 1022, 3564])).
% 24.01/15.79 tff(3572,plain,
% 24.01/15.79 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB19) | (~v114(constB19)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB19) | (~v114(constB19)))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3573,plain,
% 24.01/15.79 (((~v114(constB19)) | v113(constB19)) <=> (v113(constB19) | (~v114(constB19)))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3574,plain,
% 24.01/15.79 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB19)) | v113(constB19))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB19) | (~v114(constB19))))),
% 24.01/15.79 inference(monotonicity,[status(thm)],[3573])).
% 24.01/15.79 tff(3575,plain,
% 24.01/15.79 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB19)) | v113(constB19))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB19) | (~v114(constB19)))),
% 24.01/15.79 inference(transitivity,[status(thm)],[3574, 3572])).
% 24.01/15.79 tff(3576,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB19)) | v113(constB19))),
% 24.01/15.79 inference(quant_inst,[status(thm)],[])).
% 24.01/15.79 tff(3577,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB19) | (~v114(constB19))),
% 24.01/15.79 inference(modus_ponens,[status(thm)],[3576, 3575])).
% 24.01/15.79 tff(3578,plain,
% 24.01/15.79 (v113(constB19)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3577, 1036, 3571])).
% 24.01/15.79 tff(3579,plain,
% 24.01/15.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | (~v113(constB19)) | v112(constB19))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3580,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))),
% 24.01/15.79 inference(quant_inst,[status(thm)],[])).
% 24.01/15.79 tff(3581,plain,
% 24.01/15.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | (~v113(constB19)) | v112(constB19)),
% 24.01/15.79 inference(modus_ponens,[status(thm)],[3580, 3579])).
% 24.01/15.79 tff(3582,plain,
% 24.01/15.79 (v26(constB19) | v112(constB19)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3581, 1050, 3578])).
% 24.01/15.79 tff(3583,plain,
% 24.01/15.79 ($false),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3582, 3552, 3545])).
% 24.01/15.79 tff(3584,plain,(v108(constB19)), inference(lemma,lemma(discharge,[]))).
% 24.01/15.79 tff(3585,plain,
% 24.01/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3586,plain,
% 24.01/15.79 (((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20)) <=> ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3587,plain,
% 24.01/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19))))),
% 24.01/15.79 inference(monotonicity,[status(thm)],[3586])).
% 24.01/15.79 tff(3588,plain,
% 24.01/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 24.01/15.79 inference(transitivity,[status(thm)],[3587, 3585])).
% 24.01/15.79 tff(3589,plain,
% 24.01/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))),
% 24.01/15.79 inference(quant_inst,[status(thm)],[])).
% 24.01/15.79 tff(3590,plain,
% 24.01/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19))),
% 24.01/15.79 inference(modus_ponens,[status(thm)],[3589, 3588])).
% 24.01/15.79 tff(3591,plain,
% 24.01/15.79 (v110(constB20) | (~v108(constB19))),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3590, 1082, 3532])).
% 24.01/15.79 tff(3592,plain,
% 24.01/15.79 (v110(constB20)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3591, 3584])).
% 24.01/15.79 tff(3593,plain,
% 24.01/15.79 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))),
% 24.01/15.79 inference(rewrite,[status(thm)],[])).
% 24.01/15.79 tff(3594,plain,
% 24.01/15.79 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))),
% 24.01/15.79 inference(quant_inst,[status(thm)],[])).
% 24.01/15.79 tff(3595,plain,
% 24.01/15.79 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20))),
% 24.01/15.79 inference(modus_ponens,[status(thm)],[3594, 3593])).
% 24.01/15.79 tff(3596,plain,
% 24.01/15.79 (~v104(constB20)),
% 24.01/15.79 inference(unit_resolution,[status(thm)],[3595, 1100, 3532, 3427])).
% 24.01/15.79 tff(3597,plain,
% 24.01/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3598,plain,
% 24.08/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))),
% 24.08/15.80 inference(quant_inst,[status(thm)],[])).
% 24.08/15.80 tff(3599,plain,
% 24.08/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v102(constB20) | v104(constB20)),
% 24.08/15.80 inference(modus_ponens,[status(thm)],[3598, 3597])).
% 24.08/15.80 tff(3600,plain,
% 24.08/15.80 (v102(constB20) | v104(constB20)),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3599, 1114, 3532])).
% 24.08/15.80 tff(3601,plain,
% 24.08/15.80 (v102(constB20)),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3600, 3596])).
% 24.08/15.80 tff(3602,plain,
% 24.08/15.80 (v1(constB20) <=> v1(constB20)),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3603,axiom,(v1(constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_20_1')).
% 24.08/15.80 tff(3604,plain,
% 24.08/15.80 (v1(constB20)),
% 24.08/15.80 inference(modus_ponens,[status(thm)],[3603, 3602])).
% 24.08/15.80 tff(3605,plain,
% 24.08/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3606,plain,
% 24.08/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))),
% 24.08/15.80 inference(quant_inst,[status(thm)],[])).
% 24.08/15.80 tff(3607,plain,
% 24.08/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20))),
% 24.08/15.80 inference(modus_ponens,[status(thm)],[3606, 3605])).
% 24.08/15.80 tff(3608,plain,
% 24.08/15.80 (v101(constB20) | (~v102(constB20))),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3607, 1129, 3532, 3604])).
% 24.08/15.80 tff(3609,plain,
% 24.08/15.80 (v101(constB20)),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3608, 3601])).
% 24.08/15.80 tff(3610,plain,
% 24.08/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3611,plain,
% 24.08/15.80 (((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20)) <=> ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3612,plain,
% 24.08/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20))))),
% 24.08/15.80 inference(monotonicity,[status(thm)],[3611])).
% 24.08/15.80 tff(3613,plain,
% 24.08/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 24.08/15.80 inference(transitivity,[status(thm)],[3612, 3610])).
% 24.08/15.80 tff(3614,plain,
% 24.08/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))),
% 24.08/15.80 inference(quant_inst,[status(thm)],[])).
% 24.08/15.80 tff(3615,plain,
% 24.08/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 24.08/15.80 inference(modus_ponens,[status(thm)],[3614, 3613])).
% 24.08/15.80 tff(3616,plain,
% 24.08/15.80 (v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3615, 1144, 3532])).
% 24.08/15.80 tff(3617,plain,
% 24.08/15.80 (v100(constB20) | (~v110(constB20))),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3616, 3609])).
% 24.08/15.80 tff(3618,plain,
% 24.08/15.80 (v100(constB20)),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3617, 3592])).
% 24.08/15.80 tff(3619,plain,
% 24.08/15.80 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20)))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3620,plain,
% 24.08/15.80 ((v90(constB20, bitIndex0) | (~v100(constB20)) | (~v129(constB20, bitIndex0))) <=> (v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20)))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3621,plain,
% 24.08/15.80 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v100(constB20)) | (~v129(constB20, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20))))),
% 24.08/15.80 inference(monotonicity,[status(thm)],[3620])).
% 24.08/15.80 tff(3622,plain,
% 24.08/15.80 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v100(constB20)) | (~v129(constB20, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20)))),
% 24.08/15.80 inference(transitivity,[status(thm)],[3621, 3619])).
% 24.08/15.80 tff(3623,plain,
% 24.08/15.80 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v100(constB20)) | (~v129(constB20, bitIndex0)))),
% 24.08/15.80 inference(quant_inst,[status(thm)],[])).
% 24.08/15.80 tff(3624,plain,
% 24.08/15.80 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20))),
% 24.08/15.80 inference(modus_ponens,[status(thm)],[3623, 3622])).
% 24.08/15.80 tff(3625,plain,
% 24.08/15.80 (v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0))),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3624, 1975, 3618])).
% 24.08/15.80 tff(3626,plain,
% 24.08/15.80 (v90(constB20, bitIndex0)),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3625, 3537])).
% 24.08/15.80 tff(3627,plain,
% 24.08/15.80 ((~v1(constB21)) <=> (~v1(constB21))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3628,axiom,(~v1(constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_21_1_1')).
% 24.08/15.80 tff(3629,plain,
% 24.08/15.80 (~v1(constB21)),
% 24.08/15.80 inference(modus_ponens,[status(thm)],[3628, 3627])).
% 24.08/15.80 tff(3630,plain,
% 24.08/15.80 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3631,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_20_1')).
% 24.08/15.80 tff(3632,plain,
% 24.08/15.80 (nextState(constB20, constB21)),
% 24.08/15.80 inference(modus_ponens,[status(thm)],[3631, 3630])).
% 24.08/15.80 tff(3633,plain,
% 24.08/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3634,plain,
% 24.08/15.80 (((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21)) <=> (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3635,plain,
% 24.08/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21))))),
% 24.08/15.80 inference(monotonicity,[status(thm)],[3634])).
% 24.08/15.80 tff(3636,plain,
% 24.08/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 24.08/15.80 inference(transitivity,[status(thm)],[3635, 3633])).
% 24.08/15.80 tff(3637,plain,
% 24.08/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))),
% 24.08/15.80 inference(quant_inst,[status(thm)],[])).
% 24.08/15.80 tff(3638,plain,
% 24.08/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21))),
% 24.08/15.80 inference(modus_ponens,[status(thm)],[3637, 3636])).
% 24.08/15.80 tff(3639,plain,
% 24.08/15.80 (~v101(constB21)),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3638, 860, 3632, 3629])).
% 24.08/15.80 tff(3640,plain,
% 24.08/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3641,plain,
% 24.08/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))),
% 24.08/15.80 inference(quant_inst,[status(thm)],[])).
% 24.08/15.80 tff(3642,plain,
% 24.08/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21))),
% 24.08/15.80 inference(modus_ponens,[status(thm)],[3641, 3640])).
% 24.08/15.80 tff(3643,plain,
% 24.08/15.80 (v101(constB21) | (~v100(constB21))),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3642, 877, 3632])).
% 24.08/15.80 tff(3644,plain,
% 24.08/15.80 (~v100(constB21)),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3643, 3639])).
% 24.08/15.80 tff(3645,plain,
% 24.08/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex0))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3646,plain,
% 24.08/15.80 (((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex0)) | v100(constB21) | v90(constB21, bitIndex0)) <=> ((~v90(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex0))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3647,plain,
% 24.08/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex0)) | v100(constB21) | v90(constB21, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex0)))),
% 24.08/15.80 inference(monotonicity,[status(thm)],[3646])).
% 24.08/15.80 tff(3648,plain,
% 24.08/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex0)) | v100(constB21) | v90(constB21, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex0))),
% 24.08/15.80 inference(transitivity,[status(thm)],[3647, 3645])).
% 24.08/15.80 tff(3649,plain,
% 24.08/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex0)) | v100(constB21) | v90(constB21, bitIndex0))),
% 24.08/15.80 inference(quant_inst,[status(thm)],[])).
% 24.08/15.80 tff(3650,plain,
% 24.08/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex0)),
% 24.08/15.80 inference(modus_ponens,[status(thm)],[3649, 3648])).
% 24.08/15.80 tff(3651,plain,
% 24.08/15.80 ((~v90(constB20, bitIndex0)) | v100(constB21) | v90(constB21, bitIndex0)),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3650, 1993, 3632])).
% 24.08/15.80 tff(3652,plain,
% 24.08/15.80 ((~v90(constB20, bitIndex0)) | v90(constB21, bitIndex0)),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3651, 3644])).
% 24.08/15.80 tff(3653,plain,
% 24.08/15.80 (v90(constB21, bitIndex0)),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3652, 3626])).
% 24.08/15.80 tff(3654,plain,
% 24.08/15.80 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB19)) | v130(constB19, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB19)) | v130(constB19, bitIndex1))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3655,plain,
% 24.08/15.80 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB19)) | v130(constB19, bitIndex1))),
% 24.08/15.80 inference(quant_inst,[status(thm)],[])).
% 24.08/15.80 tff(3656,plain,
% 24.08/15.80 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB19)) | v130(constB19, bitIndex1)),
% 24.08/15.80 inference(modus_ponens,[status(thm)],[3655, 3654])).
% 24.08/15.80 tff(3657,plain,
% 24.08/15.80 (v130(constB19, bitIndex1)),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3656, 2562, 3520])).
% 24.08/15.80 tff(3658,plain,
% 24.08/15.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB19) | (~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB19) | (~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3659,plain,
% 24.08/15.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB19) | (~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1))),
% 24.08/15.80 inference(quant_inst,[status(thm)],[])).
% 24.08/15.80 tff(3660,plain,
% 24.08/15.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB19) | (~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1)),
% 24.08/15.80 inference(modus_ponens,[status(thm)],[3659, 3658])).
% 24.08/15.80 tff(3661,plain,
% 24.08/15.80 (v26(constB19) | v127(constB19, bitIndex1)),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3660, 1553, 3657])).
% 24.08/15.80 tff(3662,plain,
% 24.08/15.80 (v127(constB19, bitIndex1)),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3661, 824])).
% 24.08/15.80 tff(3663,plain,
% 24.08/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3664,plain,
% 24.08/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1))),
% 24.08/15.80 inference(quant_inst,[status(thm)],[])).
% 24.08/15.80 tff(3665,plain,
% 24.08/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1)),
% 24.08/15.80 inference(modus_ponens,[status(thm)],[3664, 3663])).
% 24.08/15.80 tff(3666,plain,
% 24.08/15.80 ((~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1)),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3665, 1568, 3532])).
% 24.08/15.80 tff(3667,plain,
% 24.08/15.80 (v129(constB20, bitIndex1)),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3666, 3662])).
% 24.08/15.80 tff(3668,plain,
% 24.08/15.80 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20)))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3669,plain,
% 24.08/15.80 ((v90(constB20, bitIndex1) | (~v100(constB20)) | (~v129(constB20, bitIndex1))) <=> (v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20)))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3670,plain,
% 24.08/15.80 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v100(constB20)) | (~v129(constB20, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20))))),
% 24.08/15.80 inference(monotonicity,[status(thm)],[3669])).
% 24.08/15.80 tff(3671,plain,
% 24.08/15.80 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v100(constB20)) | (~v129(constB20, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20)))),
% 24.08/15.80 inference(transitivity,[status(thm)],[3670, 3668])).
% 24.08/15.80 tff(3672,plain,
% 24.08/15.80 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v100(constB20)) | (~v129(constB20, bitIndex1)))),
% 24.08/15.80 inference(quant_inst,[status(thm)],[])).
% 24.08/15.80 tff(3673,plain,
% 24.08/15.80 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20))),
% 24.08/15.80 inference(modus_ponens,[status(thm)],[3672, 3671])).
% 24.08/15.80 tff(3674,plain,
% 24.08/15.80 (v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1))),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3673, 1583, 3618])).
% 24.08/15.80 tff(3675,plain,
% 24.08/15.80 (v90(constB20, bitIndex1)),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3674, 3667])).
% 24.08/15.80 tff(3676,plain,
% 24.08/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex1))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3677,plain,
% 24.08/15.80 (((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex1)) | v100(constB21) | v90(constB21, bitIndex1)) <=> ((~v90(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex1))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3678,plain,
% 24.08/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex1)) | v100(constB21) | v90(constB21, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex1)))),
% 24.08/15.80 inference(monotonicity,[status(thm)],[3677])).
% 24.08/15.80 tff(3679,plain,
% 24.08/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex1)) | v100(constB21) | v90(constB21, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex1))),
% 24.08/15.80 inference(transitivity,[status(thm)],[3678, 3676])).
% 24.08/15.80 tff(3680,plain,
% 24.08/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex1)) | v100(constB21) | v90(constB21, bitIndex1))),
% 24.08/15.80 inference(quant_inst,[status(thm)],[])).
% 24.08/15.80 tff(3681,plain,
% 24.08/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex1)),
% 24.08/15.80 inference(modus_ponens,[status(thm)],[3680, 3679])).
% 24.08/15.80 tff(3682,plain,
% 24.08/15.80 ((~v90(constB20, bitIndex1)) | v100(constB21) | v90(constB21, bitIndex1)),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3681, 1601, 3632])).
% 24.08/15.80 tff(3683,plain,
% 24.08/15.80 ((~v90(constB20, bitIndex1)) | v90(constB21, bitIndex1)),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3682, 3644])).
% 24.08/15.80 tff(3684,plain,
% 24.08/15.80 (v90(constB21, bitIndex1)),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3683, 3675])).
% 24.08/15.80 tff(3685,assumption,(v90(constB20, bitIndex2)), introduced(assumption)).
% 24.08/15.80 tff(3686,plain,
% 24.08/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB19, bitIndex2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB19, bitIndex2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex2)))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3687,plain,
% 24.08/15.80 (((~nextState(constB19, constB20)) | v90(constB19, bitIndex2) | v100(constB20) | (~v90(constB20, bitIndex2))) <=> (v90(constB19, bitIndex2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex2)))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3688,plain,
% 24.08/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v90(constB19, bitIndex2) | v100(constB20) | (~v90(constB20, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB19, bitIndex2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex2))))),
% 24.08/15.80 inference(monotonicity,[status(thm)],[3687])).
% 24.08/15.80 tff(3689,plain,
% 24.08/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v90(constB19, bitIndex2) | v100(constB20) | (~v90(constB20, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB19, bitIndex2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex2)))),
% 24.08/15.80 inference(transitivity,[status(thm)],[3688, 3686])).
% 24.08/15.80 tff(3690,plain,
% 24.08/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v90(constB19, bitIndex2) | v100(constB20) | (~v90(constB20, bitIndex2)))),
% 24.08/15.80 inference(quant_inst,[status(thm)],[])).
% 24.08/15.80 tff(3691,plain,
% 24.08/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB19, bitIndex2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex2))),
% 24.08/15.80 inference(modus_ponens,[status(thm)],[3690, 3689])).
% 24.08/15.80 tff(3692,plain,
% 24.08/15.80 (v90(constB19, bitIndex2) | v100(constB20) | (~v90(constB20, bitIndex2))),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3691, 892, 3532])).
% 24.08/15.80 tff(3693,plain,
% 24.08/15.80 (v100(constB20) | (~v90(constB20, bitIndex2))),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3692, 3451])).
% 24.08/15.80 tff(3694,plain,
% 24.08/15.80 (v100(constB20)),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3693, 3685])).
% 24.08/15.80 tff(3695,assumption,(v127(constB19, bitIndex2)), introduced(assumption)).
% 24.08/15.80 tff(3696,plain,
% 24.08/15.80 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB19)) | (~v130(constB19, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB19)) | (~v130(constB19, bitIndex2)))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3697,plain,
% 24.08/15.80 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB19)) | (~v130(constB19, bitIndex2)))),
% 24.08/15.80 inference(quant_inst,[status(thm)],[])).
% 24.08/15.80 tff(3698,plain,
% 24.08/15.80 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB19)) | (~v130(constB19, bitIndex2))),
% 24.08/15.80 inference(modus_ponens,[status(thm)],[3697, 3696])).
% 24.08/15.80 tff(3699,plain,
% 24.08/15.80 (~v130(constB19, bitIndex2)),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3698, 2406, 3520])).
% 24.08/15.80 tff(3700,plain,
% 24.08/15.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3701,plain,
% 24.08/15.80 ((v26(constB19) | v130(constB19, bitIndex2) | (~v127(constB19, bitIndex2))) <=> ((~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3702,plain,
% 24.08/15.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB19) | v130(constB19, bitIndex2) | (~v127(constB19, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2)))),
% 24.08/15.80 inference(monotonicity,[status(thm)],[3701])).
% 24.08/15.80 tff(3703,plain,
% 24.08/15.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB19) | v130(constB19, bitIndex2) | (~v127(constB19, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2))),
% 24.08/15.80 inference(transitivity,[status(thm)],[3702, 3700])).
% 24.08/15.80 tff(3704,plain,
% 24.08/15.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB19) | v130(constB19, bitIndex2) | (~v127(constB19, bitIndex2)))),
% 24.08/15.80 inference(quant_inst,[status(thm)],[])).
% 24.08/15.80 tff(3705,plain,
% 24.08/15.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2)),
% 24.08/15.80 inference(modus_ponens,[status(thm)],[3704, 3703])).
% 24.08/15.80 tff(3706,plain,
% 24.08/15.80 ((~v127(constB19, bitIndex2)) | v26(constB19)),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3705, 1812, 3699])).
% 24.08/15.80 tff(3707,plain,
% 24.08/15.80 (v26(constB19)),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3706, 3695])).
% 24.08/15.80 tff(3708,plain,
% 24.08/15.80 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))))),
% 24.08/15.80 inference(bind,[status(th)],[])).
% 24.08/15.80 tff(3709,plain,
% 24.08/15.80 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 24.08/15.80 inference(quant_intro,[status(thm)],[3708])).
% 24.08/15.80 tff(3710,plain,
% 24.08/15.80 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3711,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_3')).
% 24.08/15.80 tff(3712,plain,
% 24.08/15.80 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 24.08/15.80 inference(modus_ponens,[status(thm)],[3711, 3710])).
% 24.08/15.80 tff(3713,plain,(
% 24.08/15.80 ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 24.08/15.80 inference(skolemize,[status(sab)],[3712])).
% 24.08/15.80 tff(3714,plain,
% 24.08/15.80 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 24.08/15.80 inference(modus_ponens,[status(thm)],[3713, 3709])).
% 24.08/15.80 tff(3715,plain,
% 24.08/15.80 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB19)) | (~v127(constB19, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB19)) | (~v127(constB19, bitIndex2)))),
% 24.08/15.80 inference(rewrite,[status(thm)],[])).
% 24.08/15.80 tff(3716,plain,
% 24.08/15.80 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB19)) | (~v127(constB19, bitIndex2)))),
% 24.08/15.80 inference(quant_inst,[status(thm)],[])).
% 24.08/15.80 tff(3717,plain,
% 24.08/15.80 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB19)) | (~v127(constB19, bitIndex2))),
% 24.08/15.80 inference(modus_ponens,[status(thm)],[3716, 3715])).
% 24.08/15.80 tff(3718,plain,
% 24.08/15.80 ($false),
% 24.08/15.80 inference(unit_resolution,[status(thm)],[3717, 3714, 3695, 3707])).
% 24.08/15.80 tff(3719,plain,(~v127(constB19, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 24.08/15.80 tff(3720,plain,
% 24.08/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3721,plain,
% 24.08/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2)))),
% 24.08/15.81 inference(quant_inst,[status(thm)],[])).
% 24.08/15.81 tff(3722,plain,
% 24.08/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2))),
% 24.08/15.81 inference(modus_ponens,[status(thm)],[3721, 3720])).
% 24.08/15.81 tff(3723,plain,
% 24.08/15.81 (v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2))),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3722, 1830, 3532])).
% 24.08/15.81 tff(3724,plain,
% 24.08/15.81 (~v129(constB20, bitIndex2)),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3723, 3719])).
% 24.08/15.81 tff(3725,plain,
% 24.08/15.81 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3726,plain,
% 24.08/15.81 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20)))),
% 24.08/15.81 inference(quant_inst,[status(thm)],[])).
% 24.08/15.81 tff(3727,plain,
% 24.08/15.81 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20))),
% 24.08/15.81 inference(modus_ponens,[status(thm)],[3726, 3725])).
% 24.08/15.81 tff(3728,plain,
% 24.08/15.81 ((~v90(constB20, bitIndex2)) | (~v100(constB20))),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3727, 1845, 3724])).
% 24.08/15.81 tff(3729,plain,
% 24.08/15.81 ($false),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3728, 3694, 3685])).
% 24.08/15.81 tff(3730,plain,(~v90(constB20, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 24.08/15.81 tff(3731,plain,
% 24.08/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3732,plain,
% 24.08/15.81 (((~nextState(constB20, constB21)) | v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2))) <=> (v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3733,plain,
% 24.08/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2))))),
% 24.08/15.81 inference(monotonicity,[status(thm)],[3732])).
% 24.08/15.81 tff(3734,plain,
% 24.08/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2)))),
% 24.08/15.81 inference(transitivity,[status(thm)],[3733, 3731])).
% 24.08/15.81 tff(3735,plain,
% 24.08/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2)))),
% 24.08/15.81 inference(quant_inst,[status(thm)],[])).
% 24.08/15.81 tff(3736,plain,
% 24.08/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2))),
% 24.08/15.81 inference(modus_ponens,[status(thm)],[3735, 3734])).
% 24.08/15.81 tff(3737,plain,
% 24.08/15.81 (v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2))),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3736, 892, 3632])).
% 24.08/15.81 tff(3738,plain,
% 24.08/15.81 (v90(constB20, bitIndex2) | (~v90(constB21, bitIndex2))),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3737, 3644])).
% 24.08/15.81 tff(3739,plain,
% 24.08/15.81 (~v90(constB21, bitIndex2)),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3738, 3730])).
% 24.08/15.81 tff(3740,plain,
% 24.08/15.81 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v122(constB21))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v122(constB21))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3741,plain,
% 24.08/15.81 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v122(constB21))),
% 24.08/15.81 inference(quant_inst,[status(thm)],[])).
% 24.08/15.81 tff(3742,plain,
% 24.08/15.81 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v122(constB21)),
% 24.08/15.81 inference(modus_ponens,[status(thm)],[3741, 3740])).
% 24.08/15.81 tff(3743,plain,
% 24.08/15.81 ((~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1)) | v122(constB21)),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3742, 2641, 3739])).
% 24.08/15.81 tff(3744,plain,
% 24.08/15.81 (v122(constB21)),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3743, 3684, 3653])).
% 24.08/15.81 tff(3745,assumption,(~v123(constB23)), introduced(assumption)).
% 24.08/15.81 tff(3746,assumption,(v122(constB21)), introduced(assumption)).
% 24.08/15.81 tff(3747,plain,
% 24.08/15.81 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB21)) | v130(constB21, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB21)) | v130(constB21, bitIndex2))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3748,plain,
% 24.08/15.81 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB21)) | v130(constB21, bitIndex2))),
% 24.08/15.81 inference(quant_inst,[status(thm)],[])).
% 24.08/15.81 tff(3749,plain,
% 24.08/15.81 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB21)) | v130(constB21, bitIndex2)),
% 24.08/15.81 inference(modus_ponens,[status(thm)],[3748, 3747])).
% 24.08/15.81 tff(3750,plain,
% 24.08/15.81 (v130(constB21, bitIndex2)),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3749, 2736, 3746])).
% 24.08/15.81 tff(3751,plain,
% 24.08/15.81 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB21) | (~v122(constB21)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB21) | (~v122(constB21)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3752,plain,
% 24.08/15.81 (((~v122(constB21)) | v116(constB21)) <=> (v116(constB21) | (~v122(constB21)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3753,plain,
% 24.08/15.81 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB21)) | v116(constB21))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB21) | (~v122(constB21))))),
% 24.08/15.81 inference(monotonicity,[status(thm)],[3752])).
% 24.08/15.81 tff(3754,plain,
% 24.08/15.81 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB21)) | v116(constB21))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB21) | (~v122(constB21)))),
% 24.08/15.81 inference(transitivity,[status(thm)],[3753, 3751])).
% 24.08/15.81 tff(3755,plain,
% 24.08/15.81 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB21)) | v116(constB21))),
% 24.08/15.81 inference(quant_inst,[status(thm)],[])).
% 24.08/15.81 tff(3756,plain,
% 24.08/15.81 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB21) | (~v122(constB21))),
% 24.08/15.81 inference(modus_ponens,[status(thm)],[3755, 3754])).
% 24.08/15.81 tff(3757,plain,
% 24.08/15.81 (v116(constB21)),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3756, 2652, 3746])).
% 24.08/15.81 tff(3758,plain,
% 24.08/15.81 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB21) | (~v116(constB21)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB21) | (~v116(constB21)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3759,plain,
% 24.08/15.81 (((~v116(constB21)) | v115(constB21)) <=> (v115(constB21) | (~v116(constB21)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3760,plain,
% 24.08/15.81 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB21)) | v115(constB21))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB21) | (~v116(constB21))))),
% 24.08/15.81 inference(monotonicity,[status(thm)],[3759])).
% 24.08/15.81 tff(3761,plain,
% 24.08/15.81 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB21)) | v115(constB21))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB21) | (~v116(constB21)))),
% 24.08/15.81 inference(transitivity,[status(thm)],[3760, 3758])).
% 24.08/15.81 tff(3762,plain,
% 24.08/15.81 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB21)) | v115(constB21))),
% 24.08/15.81 inference(quant_inst,[status(thm)],[])).
% 24.08/15.81 tff(3763,plain,
% 24.08/15.81 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB21) | (~v116(constB21))),
% 24.08/15.81 inference(modus_ponens,[status(thm)],[3762, 3761])).
% 24.08/15.81 tff(3764,plain,
% 24.08/15.81 (v115(constB21)),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3763, 1008, 3757])).
% 24.08/15.81 tff(3765,plain,
% 24.08/15.81 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB21) | (~v115(constB21)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB21) | (~v115(constB21)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3766,plain,
% 24.08/15.81 (((~v115(constB21)) | v114(constB21)) <=> (v114(constB21) | (~v115(constB21)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3767,plain,
% 24.08/15.81 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB21)) | v114(constB21))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB21) | (~v115(constB21))))),
% 24.08/15.81 inference(monotonicity,[status(thm)],[3766])).
% 24.08/15.81 tff(3768,plain,
% 24.08/15.81 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB21)) | v114(constB21))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB21) | (~v115(constB21)))),
% 24.08/15.81 inference(transitivity,[status(thm)],[3767, 3765])).
% 24.08/15.81 tff(3769,plain,
% 24.08/15.81 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB21)) | v114(constB21))),
% 24.08/15.81 inference(quant_inst,[status(thm)],[])).
% 24.08/15.81 tff(3770,plain,
% 24.08/15.81 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB21) | (~v115(constB21))),
% 24.08/15.81 inference(modus_ponens,[status(thm)],[3769, 3768])).
% 24.08/15.81 tff(3771,plain,
% 24.08/15.81 (v114(constB21)),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3770, 1022, 3764])).
% 24.08/15.81 tff(3772,plain,
% 24.08/15.81 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB21) | (~v114(constB21)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB21) | (~v114(constB21)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3773,plain,
% 24.08/15.81 (((~v114(constB21)) | v113(constB21)) <=> (v113(constB21) | (~v114(constB21)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3774,plain,
% 24.08/15.81 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB21)) | v113(constB21))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB21) | (~v114(constB21))))),
% 24.08/15.81 inference(monotonicity,[status(thm)],[3773])).
% 24.08/15.81 tff(3775,plain,
% 24.08/15.81 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB21)) | v113(constB21))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB21) | (~v114(constB21)))),
% 24.08/15.81 inference(transitivity,[status(thm)],[3774, 3772])).
% 24.08/15.81 tff(3776,plain,
% 24.08/15.81 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB21)) | v113(constB21))),
% 24.08/15.81 inference(quant_inst,[status(thm)],[])).
% 24.08/15.81 tff(3777,plain,
% 24.08/15.81 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB21) | (~v114(constB21))),
% 24.08/15.81 inference(modus_ponens,[status(thm)],[3776, 3775])).
% 24.08/15.81 tff(3778,plain,
% 24.08/15.81 (v113(constB21)),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3777, 1036, 3771])).
% 24.08/15.81 tff(3779,assumption,(v26(constB21)), introduced(assumption)).
% 24.08/15.81 tff(3780,plain,
% 24.08/15.81 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB21))),
% 24.08/15.81 inference(quant_inst,[status(thm)],[])).
% 24.08/15.81 tff(3781,plain,
% 24.08/15.81 ($false),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3780, 797, 3779])).
% 24.08/15.81 tff(3782,plain,(~v26(constB21)), inference(lemma,lemma(discharge,[]))).
% 24.08/15.81 tff(3783,assumption,(~v26(constB21)), introduced(assumption)).
% 24.08/15.81 tff(3784,assumption,(v113(constB21)), introduced(assumption)).
% 24.08/15.81 tff(3785,plain,
% 24.08/15.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | v112(constB21) | (~v113(constB21)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | v112(constB21) | (~v113(constB21)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3786,plain,
% 24.08/15.81 ((v26(constB21) | (~v113(constB21)) | v112(constB21)) <=> (v26(constB21) | v112(constB21) | (~v113(constB21)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3787,plain,
% 24.08/15.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | v112(constB21) | (~v113(constB21))))),
% 24.08/15.81 inference(monotonicity,[status(thm)],[3786])).
% 24.08/15.81 tff(3788,plain,
% 24.08/15.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | v112(constB21) | (~v113(constB21)))),
% 24.08/15.81 inference(transitivity,[status(thm)],[3787, 3785])).
% 24.08/15.81 tff(3789,plain,
% 24.08/15.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))),
% 24.08/15.81 inference(quant_inst,[status(thm)],[])).
% 24.08/15.81 tff(3790,plain,
% 24.08/15.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | v112(constB21) | (~v113(constB21))),
% 24.08/15.81 inference(modus_ponens,[status(thm)],[3789, 3788])).
% 24.08/15.81 tff(3791,plain,
% 24.08/15.81 (v26(constB21) | v112(constB21)),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3790, 1050, 3784])).
% 24.08/15.81 tff(3792,plain,
% 24.08/15.81 (v112(constB21)),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3791, 3783])).
% 24.08/15.81 tff(3793,assumption,(v130(constB21, bitIndex2)), introduced(assumption)).
% 24.08/15.81 tff(3794,plain,
% 24.08/15.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3795,plain,
% 24.08/15.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2))),
% 24.08/15.81 inference(quant_inst,[status(thm)],[])).
% 24.08/15.81 tff(3796,plain,
% 24.08/15.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2)),
% 24.08/15.81 inference(modus_ponens,[status(thm)],[3795, 3794])).
% 24.08/15.81 tff(3797,plain,
% 24.08/15.81 (v26(constB21) | v127(constB21, bitIndex2)),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3796, 1174, 3793])).
% 24.08/15.81 tff(3798,plain,
% 24.08/15.81 (v127(constB21, bitIndex2)),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3797, 3783])).
% 24.08/15.81 tff(3799,plain,
% 24.08/15.81 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3800,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_21_1')).
% 24.08/15.81 tff(3801,plain,
% 24.08/15.81 (nextState(constB21, constB22)),
% 24.08/15.81 inference(modus_ponens,[status(thm)],[3800, 3799])).
% 24.08/15.81 tff(3802,plain,
% 24.08/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3803,plain,
% 24.08/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2))),
% 24.08/15.81 inference(quant_inst,[status(thm)],[])).
% 24.08/15.81 tff(3804,plain,
% 24.08/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2)),
% 24.08/15.81 inference(modus_ponens,[status(thm)],[3803, 3802])).
% 24.08/15.81 tff(3805,plain,
% 24.08/15.81 ((~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2)),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3804, 1189, 3801])).
% 24.08/15.81 tff(3806,plain,
% 24.08/15.81 (v129(constB22, bitIndex2)),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3805, 3798])).
% 24.08/15.81 tff(3807,assumption,(~v90(constB22, bitIndex2)), introduced(assumption)).
% 24.08/15.81 tff(3808,plain,
% 24.08/15.81 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3809,plain,
% 24.08/15.81 ((v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2))) <=> (v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3810,plain,
% 24.08/15.81 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22))))),
% 24.08/15.81 inference(monotonicity,[status(thm)],[3809])).
% 24.08/15.81 tff(3811,plain,
% 24.08/15.81 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))),
% 24.08/15.81 inference(transitivity,[status(thm)],[3810, 3808])).
% 24.08/15.81 tff(3812,plain,
% 24.08/15.81 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2)))),
% 24.08/15.81 inference(quant_inst,[status(thm)],[])).
% 24.08/15.81 tff(3813,plain,
% 24.08/15.81 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22))),
% 24.08/15.81 inference(modus_ponens,[status(thm)],[3812, 3811])).
% 24.08/15.81 tff(3814,plain,
% 24.08/15.81 ((~v129(constB22, bitIndex2)) | (~v100(constB22))),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3813, 1204, 3807])).
% 24.08/15.81 tff(3815,plain,
% 24.08/15.81 (~v100(constB22)),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3814, 3806])).
% 24.08/15.81 tff(3816,plain,
% 24.08/15.81 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3817,plain,
% 24.08/15.81 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))),
% 24.08/15.81 inference(quant_inst,[status(thm)],[])).
% 24.08/15.81 tff(3818,plain,
% 24.08/15.81 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22))),
% 24.08/15.81 inference(modus_ponens,[status(thm)],[3817, 3816])).
% 24.08/15.81 tff(3819,plain,
% 24.08/15.81 (~v104(constB22)),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3818, 1100, 3801, 3629])).
% 24.08/15.81 tff(3820,plain,
% 24.08/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3821,plain,
% 24.08/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))),
% 24.08/15.81 inference(quant_inst,[status(thm)],[])).
% 24.08/15.81 tff(3822,plain,
% 24.08/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v102(constB22) | v104(constB22)),
% 24.08/15.81 inference(modus_ponens,[status(thm)],[3821, 3820])).
% 24.08/15.81 tff(3823,plain,
% 24.08/15.81 (v102(constB22) | v104(constB22)),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3822, 1114, 3801])).
% 24.08/15.81 tff(3824,plain,
% 24.08/15.81 (v102(constB22)),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3823, 3819])).
% 24.08/15.81 tff(3825,plain,
% 24.08/15.81 (v1(constB22) <=> v1(constB22)),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3826,axiom,(v1(constB22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_22_1')).
% 24.08/15.81 tff(3827,plain,
% 24.08/15.81 (v1(constB22)),
% 24.08/15.81 inference(modus_ponens,[status(thm)],[3826, 3825])).
% 24.08/15.81 tff(3828,plain,
% 24.08/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3829,plain,
% 24.08/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))),
% 24.08/15.81 inference(quant_inst,[status(thm)],[])).
% 24.08/15.81 tff(3830,plain,
% 24.08/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22))),
% 24.08/15.81 inference(modus_ponens,[status(thm)],[3829, 3828])).
% 24.08/15.81 tff(3831,plain,
% 24.08/15.81 (v101(constB22) | (~v102(constB22))),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3830, 1129, 3801, 3827])).
% 24.08/15.81 tff(3832,plain,
% 24.08/15.81 (v101(constB22)),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3831, 3824])).
% 24.08/15.81 tff(3833,plain,
% 24.08/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3834,plain,
% 24.08/15.81 (((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22)) <=> ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3835,plain,
% 24.08/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22))))),
% 24.08/15.81 inference(monotonicity,[status(thm)],[3834])).
% 24.08/15.81 tff(3836,plain,
% 24.08/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 24.08/15.81 inference(transitivity,[status(thm)],[3835, 3833])).
% 24.08/15.81 tff(3837,plain,
% 24.08/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))),
% 24.08/15.81 inference(quant_inst,[status(thm)],[])).
% 24.08/15.81 tff(3838,plain,
% 24.08/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 24.08/15.81 inference(modus_ponens,[status(thm)],[3837, 3836])).
% 24.08/15.81 tff(3839,plain,
% 24.08/15.81 (v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3838, 1144, 3801])).
% 24.08/15.81 tff(3840,plain,
% 24.08/15.81 (v100(constB22) | (~v110(constB22))),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3839, 3832])).
% 24.08/15.81 tff(3841,plain,
% 24.08/15.81 (~v110(constB22)),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3840, 3815])).
% 24.08/15.81 tff(3842,plain,
% 24.08/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3843,plain,
% 24.08/15.81 (((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22)) <=> ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3844,plain,
% 24.08/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21))))),
% 24.08/15.81 inference(monotonicity,[status(thm)],[3843])).
% 24.08/15.81 tff(3845,plain,
% 24.08/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 24.08/15.81 inference(transitivity,[status(thm)],[3844, 3842])).
% 24.08/15.81 tff(3846,plain,
% 24.08/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))),
% 24.08/15.81 inference(quant_inst,[status(thm)],[])).
% 24.08/15.81 tff(3847,plain,
% 24.08/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21))),
% 24.08/15.81 inference(modus_ponens,[status(thm)],[3846, 3845])).
% 24.08/15.81 tff(3848,plain,
% 24.08/15.81 (v110(constB22) | (~v108(constB21))),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3847, 1082, 3801])).
% 24.08/15.81 tff(3849,plain,
% 24.08/15.81 (~v108(constB21)),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3848, 3841])).
% 24.08/15.81 tff(3850,plain,
% 24.08/15.81 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB21) | (~v112(constB21)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v112(constB21)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3851,plain,
% 24.08/15.81 (((~v112(constB21)) | v108(constB21)) <=> (v108(constB21) | (~v112(constB21)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3852,plain,
% 24.08/15.81 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB21)) | v108(constB21))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB21) | (~v112(constB21))))),
% 24.08/15.81 inference(monotonicity,[status(thm)],[3851])).
% 24.08/15.81 tff(3853,plain,
% 24.08/15.81 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB21)) | v108(constB21))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v112(constB21)))),
% 24.08/15.81 inference(transitivity,[status(thm)],[3852, 3850])).
% 24.08/15.81 tff(3854,plain,
% 24.08/15.81 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB21)) | v108(constB21))),
% 24.08/15.81 inference(quant_inst,[status(thm)],[])).
% 24.08/15.81 tff(3855,plain,
% 24.08/15.81 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v112(constB21))),
% 24.08/15.81 inference(modus_ponens,[status(thm)],[3854, 3853])).
% 24.08/15.81 tff(3856,plain,
% 24.08/15.81 ($false),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3855, 1062, 3849, 3792])).
% 24.08/15.81 tff(3857,plain,(v26(constB21) | v90(constB22, bitIndex2) | (~v113(constB21)) | (~v130(constB21, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 24.08/15.81 tff(3858,plain,
% 24.08/15.81 (v90(constB22, bitIndex2) | (~v113(constB21)) | (~v130(constB21, bitIndex2))),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3857, 3782])).
% 24.08/15.81 tff(3859,plain,
% 24.08/15.81 (v90(constB22, bitIndex2)),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3858, 3778, 3750])).
% 24.08/15.81 tff(3860,plain,
% 24.08/15.81 ((~v1(constB23)) <=> (~v1(constB23))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3861,axiom,(~v1(constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_23_1_1')).
% 24.08/15.81 tff(3862,plain,
% 24.08/15.81 (~v1(constB23)),
% 24.08/15.81 inference(modus_ponens,[status(thm)],[3861, 3860])).
% 24.08/15.81 tff(3863,plain,
% 24.08/15.81 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3864,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_22_1')).
% 24.08/15.81 tff(3865,plain,
% 24.08/15.81 (nextState(constB22, constB23)),
% 24.08/15.81 inference(modus_ponens,[status(thm)],[3864, 3863])).
% 24.08/15.81 tff(3866,plain,
% 24.08/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3867,plain,
% 24.08/15.81 (((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23)) <=> (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3868,plain,
% 24.08/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23))))),
% 24.08/15.81 inference(monotonicity,[status(thm)],[3867])).
% 24.08/15.81 tff(3869,plain,
% 24.08/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 24.08/15.81 inference(transitivity,[status(thm)],[3868, 3866])).
% 24.08/15.81 tff(3870,plain,
% 24.08/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))),
% 24.08/15.81 inference(quant_inst,[status(thm)],[])).
% 24.08/15.81 tff(3871,plain,
% 24.08/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23))),
% 24.08/15.81 inference(modus_ponens,[status(thm)],[3870, 3869])).
% 24.08/15.81 tff(3872,plain,
% 24.08/15.81 (~v101(constB23)),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3871, 860, 3865, 3862])).
% 24.08/15.81 tff(3873,plain,
% 24.08/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))),
% 24.08/15.81 inference(rewrite,[status(thm)],[])).
% 24.08/15.81 tff(3874,plain,
% 24.08/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))),
% 24.08/15.81 inference(quant_inst,[status(thm)],[])).
% 24.08/15.81 tff(3875,plain,
% 24.08/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23))),
% 24.08/15.81 inference(modus_ponens,[status(thm)],[3874, 3873])).
% 24.08/15.81 tff(3876,plain,
% 24.08/15.81 (v101(constB23) | (~v100(constB23))),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3875, 877, 3865])).
% 24.08/15.81 tff(3877,plain,
% 24.08/15.81 (~v100(constB23)),
% 24.08/15.81 inference(unit_resolution,[status(thm)],[3876, 3872])).
% 24.08/15.81 tff(3878,plain,
% 24.08/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3879,plain,
% 24.08/15.82 (((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2)) <=> ((~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3880,plain,
% 24.08/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2)))),
% 24.08/15.82 inference(monotonicity,[status(thm)],[3879])).
% 24.08/15.82 tff(3881,plain,
% 24.08/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))),
% 24.08/15.82 inference(transitivity,[status(thm)],[3880, 3878])).
% 24.08/15.82 tff(3882,plain,
% 24.08/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2))),
% 24.08/15.82 inference(quant_inst,[status(thm)],[])).
% 24.08/15.82 tff(3883,plain,
% 24.08/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2)),
% 24.08/15.82 inference(modus_ponens,[status(thm)],[3882, 3881])).
% 24.08/15.82 tff(3884,plain,
% 24.08/15.82 ((~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2)),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3883, 1240, 3865])).
% 24.08/15.82 tff(3885,plain,
% 24.08/15.82 ((~v90(constB22, bitIndex2)) | v90(constB23, bitIndex2)),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3884, 3877])).
% 24.08/15.82 tff(3886,plain,
% 24.08/15.82 (v90(constB23, bitIndex2)),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3885, 3859])).
% 24.08/15.82 tff(3887,plain,
% 24.08/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB21, bitIndex2) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB21, bitIndex2) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex2)))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3888,plain,
% 24.08/15.82 (((~nextState(constB21, constB22)) | v90(constB21, bitIndex2) | v100(constB22) | (~v90(constB22, bitIndex2))) <=> (v90(constB21, bitIndex2) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex2)))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3889,plain,
% 24.08/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB21, constB22)) | v90(constB21, bitIndex2) | v100(constB22) | (~v90(constB22, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB21, bitIndex2) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex2))))),
% 24.08/15.82 inference(monotonicity,[status(thm)],[3888])).
% 24.08/15.82 tff(3890,plain,
% 24.08/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB21, constB22)) | v90(constB21, bitIndex2) | v100(constB22) | (~v90(constB22, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB21, bitIndex2) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex2)))),
% 24.08/15.82 inference(transitivity,[status(thm)],[3889, 3887])).
% 24.08/15.82 tff(3891,plain,
% 24.08/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB21, constB22)) | v90(constB21, bitIndex2) | v100(constB22) | (~v90(constB22, bitIndex2)))),
% 24.08/15.82 inference(quant_inst,[status(thm)],[])).
% 24.08/15.82 tff(3892,plain,
% 24.08/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB21, bitIndex2) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex2))),
% 24.08/15.82 inference(modus_ponens,[status(thm)],[3891, 3890])).
% 24.08/15.82 tff(3893,plain,
% 24.08/15.82 (v90(constB21, bitIndex2) | v100(constB22) | (~v90(constB22, bitIndex2))),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3892, 892, 3801])).
% 24.08/15.82 tff(3894,plain,
% 24.08/15.82 (v100(constB22)),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3893, 3859, 3739])).
% 24.08/15.82 tff(3895,plain,
% 24.08/15.82 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB21)) | (~v130(constB21, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB21)) | (~v130(constB21, bitIndex1)))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3896,plain,
% 24.08/15.82 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB21)) | (~v130(constB21, bitIndex1)))),
% 24.08/15.82 inference(quant_inst,[status(thm)],[])).
% 24.08/15.82 tff(3897,plain,
% 24.08/15.82 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB21)) | (~v130(constB21, bitIndex1))),
% 24.08/15.82 inference(modus_ponens,[status(thm)],[3896, 3895])).
% 24.08/15.82 tff(3898,plain,
% 24.08/15.82 (~v130(constB21, bitIndex1)),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3897, 2792, 3746])).
% 24.08/15.82 tff(3899,plain,
% 24.08/15.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3900,plain,
% 24.08/15.82 ((v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1))) <=> ((~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3901,plain,
% 24.08/15.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1)))),
% 24.08/15.82 inference(monotonicity,[status(thm)],[3900])).
% 24.08/15.82 tff(3902,plain,
% 24.08/15.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))),
% 24.08/15.82 inference(transitivity,[status(thm)],[3901, 3899])).
% 24.08/15.82 tff(3903,plain,
% 24.08/15.82 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1)))),
% 24.08/15.82 inference(quant_inst,[status(thm)],[])).
% 24.08/15.82 tff(3904,plain,
% 24.08/15.82 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1)),
% 24.08/15.82 inference(modus_ponens,[status(thm)],[3903, 3902])).
% 24.08/15.82 tff(3905,plain,
% 24.08/15.82 ((~v127(constB21, bitIndex1)) | v130(constB21, bitIndex1)),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3904, 1270, 3782])).
% 24.08/15.82 tff(3906,plain,
% 24.08/15.82 (~v127(constB21, bitIndex1)),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3905, 3898])).
% 24.08/15.82 tff(3907,plain,
% 24.08/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1)))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3908,plain,
% 24.08/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1)))),
% 24.08/15.82 inference(quant_inst,[status(thm)],[])).
% 24.08/15.82 tff(3909,plain,
% 24.08/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1))),
% 24.08/15.82 inference(modus_ponens,[status(thm)],[3908, 3907])).
% 24.08/15.82 tff(3910,plain,
% 24.08/15.82 (v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1))),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3909, 1288, 3801])).
% 24.08/15.82 tff(3911,plain,
% 24.08/15.82 (~v129(constB22, bitIndex1)),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3910, 3906])).
% 24.08/15.82 tff(3912,plain,
% 24.08/15.82 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3913,plain,
% 24.08/15.82 (((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1)) <=> ((~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3914,plain,
% 24.08/15.82 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22))))),
% 24.08/15.82 inference(monotonicity,[status(thm)],[3913])).
% 24.08/15.82 tff(3915,plain,
% 24.08/15.82 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))),
% 24.08/15.82 inference(transitivity,[status(thm)],[3914, 3912])).
% 24.08/15.82 tff(3916,plain,
% 24.08/15.82 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1))),
% 24.08/15.82 inference(quant_inst,[status(thm)],[])).
% 24.08/15.82 tff(3917,plain,
% 24.08/15.82 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22))),
% 24.08/15.82 inference(modus_ponens,[status(thm)],[3916, 3915])).
% 24.08/15.82 tff(3918,plain,
% 24.08/15.82 ((~v90(constB22, bitIndex1)) | (~v100(constB22))),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3917, 1303, 3911])).
% 24.08/15.82 tff(3919,plain,
% 24.08/15.82 (~v90(constB22, bitIndex1)),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3918, 3894])).
% 24.08/15.82 tff(3920,plain,
% 24.08/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3921,plain,
% 24.08/15.82 (((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1))) <=> (v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3922,plain,
% 24.08/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1))))),
% 24.08/15.82 inference(monotonicity,[status(thm)],[3921])).
% 24.08/15.82 tff(3923,plain,
% 24.08/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 24.08/15.82 inference(transitivity,[status(thm)],[3922, 3920])).
% 24.08/15.82 tff(3924,plain,
% 24.08/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 24.08/15.82 inference(quant_inst,[status(thm)],[])).
% 24.08/15.82 tff(3925,plain,
% 24.08/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1))),
% 24.08/15.82 inference(modus_ponens,[status(thm)],[3924, 3923])).
% 24.08/15.82 tff(3926,plain,
% 24.08/15.82 (v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1))),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3925, 913, 3865])).
% 24.08/15.82 tff(3927,plain,
% 24.08/15.82 (v90(constB22, bitIndex1) | (~v90(constB23, bitIndex1))),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3926, 3877])).
% 24.08/15.82 tff(3928,plain,
% 24.08/15.82 (~v90(constB23, bitIndex1)),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3927, 3919])).
% 24.08/15.82 tff(3929,plain,
% 24.08/15.82 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB21)) | (~v130(constB21, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB21)) | (~v130(constB21, bitIndex0)))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3930,plain,
% 24.08/15.82 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB21)) | (~v130(constB21, bitIndex0)))),
% 24.08/15.82 inference(quant_inst,[status(thm)],[])).
% 24.08/15.82 tff(3931,plain,
% 24.08/15.82 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB21)) | (~v130(constB21, bitIndex0))),
% 24.08/15.82 inference(modus_ponens,[status(thm)],[3930, 3929])).
% 24.08/15.82 tff(3932,plain,
% 24.08/15.82 (~v130(constB21, bitIndex0)),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3931, 2833, 3746])).
% 24.08/15.82 tff(3933,plain,
% 24.08/15.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3934,plain,
% 24.08/15.82 ((v26(constB21) | v130(constB21, bitIndex0) | (~v127(constB21, bitIndex0))) <=> ((~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3935,plain,
% 24.08/15.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB21) | v130(constB21, bitIndex0) | (~v127(constB21, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0)))),
% 24.08/15.82 inference(monotonicity,[status(thm)],[3934])).
% 24.08/15.82 tff(3936,plain,
% 24.08/15.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB21) | v130(constB21, bitIndex0) | (~v127(constB21, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0))),
% 24.08/15.82 inference(transitivity,[status(thm)],[3935, 3933])).
% 24.08/15.82 tff(3937,plain,
% 24.08/15.82 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB21) | v130(constB21, bitIndex0) | (~v127(constB21, bitIndex0)))),
% 24.08/15.82 inference(quant_inst,[status(thm)],[])).
% 24.08/15.82 tff(3938,plain,
% 24.08/15.82 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0)),
% 24.08/15.82 inference(modus_ponens,[status(thm)],[3937, 3936])).
% 24.08/15.82 tff(3939,plain,
% 24.08/15.82 ((~v127(constB21, bitIndex0)) | v130(constB21, bitIndex0)),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3938, 1341, 3782])).
% 24.08/15.82 tff(3940,plain,
% 24.08/15.82 (~v127(constB21, bitIndex0)),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3939, 3932])).
% 24.08/15.82 tff(3941,plain,
% 24.08/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex0) | (~v129(constB22, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex0) | (~v129(constB22, bitIndex0)))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3942,plain,
% 24.08/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex0) | (~v129(constB22, bitIndex0)))),
% 24.08/15.82 inference(quant_inst,[status(thm)],[])).
% 24.08/15.82 tff(3943,plain,
% 24.08/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex0) | (~v129(constB22, bitIndex0))),
% 24.08/15.82 inference(modus_ponens,[status(thm)],[3942, 3941])).
% 24.08/15.82 tff(3944,plain,
% 24.08/15.82 (v127(constB21, bitIndex0) | (~v129(constB22, bitIndex0))),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3943, 1359, 3801])).
% 24.08/15.82 tff(3945,plain,
% 24.08/15.82 (~v129(constB22, bitIndex0)),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3944, 3940])).
% 24.08/15.82 tff(3946,plain,
% 24.08/15.82 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22)))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3947,plain,
% 24.08/15.82 (((~v90(constB22, bitIndex0)) | (~v100(constB22)) | v129(constB22, bitIndex0)) <=> ((~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22)))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3948,plain,
% 24.08/15.82 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | (~v100(constB22)) | v129(constB22, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22))))),
% 24.08/15.82 inference(monotonicity,[status(thm)],[3947])).
% 24.08/15.82 tff(3949,plain,
% 24.08/15.82 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | (~v100(constB22)) | v129(constB22, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22)))),
% 24.08/15.82 inference(transitivity,[status(thm)],[3948, 3946])).
% 24.08/15.82 tff(3950,plain,
% 24.08/15.82 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | (~v100(constB22)) | v129(constB22, bitIndex0))),
% 24.08/15.82 inference(quant_inst,[status(thm)],[])).
% 24.08/15.82 tff(3951,plain,
% 24.08/15.82 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22))),
% 24.08/15.82 inference(modus_ponens,[status(thm)],[3950, 3949])).
% 24.08/15.82 tff(3952,plain,
% 24.08/15.82 ((~v90(constB22, bitIndex0)) | (~v100(constB22))),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3951, 1374, 3945])).
% 24.08/15.82 tff(3953,plain,
% 24.08/15.82 (~v90(constB22, bitIndex0)),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3952, 3894])).
% 24.08/15.82 tff(3954,plain,
% 24.08/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex0)))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3955,plain,
% 24.08/15.82 (((~nextState(constB22, constB23)) | v90(constB22, bitIndex0) | v100(constB23) | (~v90(constB23, bitIndex0))) <=> (v90(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex0)))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3956,plain,
% 24.08/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex0) | v100(constB23) | (~v90(constB23, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex0))))),
% 24.08/15.82 inference(monotonicity,[status(thm)],[3955])).
% 24.08/15.82 tff(3957,plain,
% 24.08/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex0) | v100(constB23) | (~v90(constB23, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex0)))),
% 24.08/15.82 inference(transitivity,[status(thm)],[3956, 3954])).
% 24.08/15.82 tff(3958,plain,
% 24.08/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex0) | v100(constB23) | (~v90(constB23, bitIndex0)))),
% 24.08/15.82 inference(quant_inst,[status(thm)],[])).
% 24.08/15.82 tff(3959,plain,
% 24.08/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex0))),
% 24.08/15.82 inference(modus_ponens,[status(thm)],[3958, 3957])).
% 24.08/15.82 tff(3960,plain,
% 24.08/15.82 (v90(constB22, bitIndex0) | v100(constB23) | (~v90(constB23, bitIndex0))),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3959, 934, 3865])).
% 24.08/15.82 tff(3961,plain,
% 24.08/15.82 (v90(constB22, bitIndex0) | (~v90(constB23, bitIndex0))),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3960, 3877])).
% 24.08/15.82 tff(3962,plain,
% 24.08/15.82 (~v90(constB23, bitIndex0)),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3961, 3953])).
% 24.08/15.82 tff(3963,plain,
% 24.08/15.82 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v123(constB23))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v123(constB23))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3964,plain,
% 24.08/15.82 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v123(constB23))),
% 24.08/15.82 inference(quant_inst,[status(thm)],[])).
% 24.08/15.82 tff(3965,plain,
% 24.08/15.82 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v123(constB23)),
% 24.08/15.82 inference(modus_ponens,[status(thm)],[3964, 3963])).
% 24.08/15.82 tff(3966,plain,
% 24.08/15.82 ($false),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3965, 1401, 3962, 3928, 3886, 3745])).
% 24.08/15.82 tff(3967,plain,((~v122(constB21)) | v123(constB23)), inference(lemma,lemma(discharge,[]))).
% 24.08/15.82 tff(3968,plain,
% 24.08/15.82 (v123(constB23)),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3967, 3744])).
% 24.08/15.82 tff(3969,assumption,(v123(constB23)), introduced(assumption)).
% 24.08/15.82 tff(3970,plain,
% 24.08/15.82 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB23) | (~v123(constB23)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB23) | (~v123(constB23)))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3971,plain,
% 24.08/15.82 (((~v123(constB23)) | v115(constB23)) <=> (v115(constB23) | (~v123(constB23)))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3972,plain,
% 24.08/15.82 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB23)) | v115(constB23))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB23) | (~v123(constB23))))),
% 24.08/15.82 inference(monotonicity,[status(thm)],[3971])).
% 24.08/15.82 tff(3973,plain,
% 24.08/15.82 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB23)) | v115(constB23))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB23) | (~v123(constB23)))),
% 24.08/15.82 inference(transitivity,[status(thm)],[3972, 3970])).
% 24.08/15.82 tff(3974,plain,
% 24.08/15.82 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB23)) | v115(constB23))),
% 24.08/15.82 inference(quant_inst,[status(thm)],[])).
% 24.08/15.82 tff(3975,plain,
% 24.08/15.82 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB23) | (~v123(constB23))),
% 24.08/15.82 inference(modus_ponens,[status(thm)],[3974, 3973])).
% 24.08/15.82 tff(3976,plain,
% 24.08/15.82 (v115(constB23)),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3975, 1412, 3969])).
% 24.08/15.82 tff(3977,plain,
% 24.08/15.82 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB23) | (~v115(constB23)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB23) | (~v115(constB23)))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3978,plain,
% 24.08/15.82 (((~v115(constB23)) | v114(constB23)) <=> (v114(constB23) | (~v115(constB23)))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3979,plain,
% 24.08/15.82 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB23)) | v114(constB23))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB23) | (~v115(constB23))))),
% 24.08/15.82 inference(monotonicity,[status(thm)],[3978])).
% 24.08/15.82 tff(3980,plain,
% 24.08/15.82 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB23)) | v114(constB23))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB23) | (~v115(constB23)))),
% 24.08/15.82 inference(transitivity,[status(thm)],[3979, 3977])).
% 24.08/15.82 tff(3981,plain,
% 24.08/15.82 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB23)) | v114(constB23))),
% 24.08/15.82 inference(quant_inst,[status(thm)],[])).
% 24.08/15.82 tff(3982,plain,
% 24.08/15.82 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB23) | (~v115(constB23))),
% 24.08/15.82 inference(modus_ponens,[status(thm)],[3981, 3980])).
% 24.08/15.82 tff(3983,plain,
% 24.08/15.82 (v114(constB23)),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3982, 1022, 3976])).
% 24.08/15.82 tff(3984,plain,
% 24.08/15.82 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB23) | (~v114(constB23)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB23) | (~v114(constB23)))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3985,plain,
% 24.08/15.82 (((~v114(constB23)) | v113(constB23)) <=> (v113(constB23) | (~v114(constB23)))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3986,plain,
% 24.08/15.82 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB23)) | v113(constB23))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB23) | (~v114(constB23))))),
% 24.08/15.82 inference(monotonicity,[status(thm)],[3985])).
% 24.08/15.82 tff(3987,plain,
% 24.08/15.82 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB23)) | v113(constB23))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB23) | (~v114(constB23)))),
% 24.08/15.82 inference(transitivity,[status(thm)],[3986, 3984])).
% 24.08/15.82 tff(3988,plain,
% 24.08/15.82 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB23)) | v113(constB23))),
% 24.08/15.82 inference(quant_inst,[status(thm)],[])).
% 24.08/15.82 tff(3989,plain,
% 24.08/15.82 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB23) | (~v114(constB23))),
% 24.08/15.82 inference(modus_ponens,[status(thm)],[3988, 3987])).
% 24.08/15.82 tff(3990,plain,
% 24.08/15.82 (v113(constB23)),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3989, 1036, 3983])).
% 24.08/15.82 tff(3991,assumption,(v26(constB23)), introduced(assumption)).
% 24.08/15.82 tff(3992,plain,
% 24.08/15.82 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB23))),
% 24.08/15.82 inference(quant_inst,[status(thm)],[])).
% 24.08/15.82 tff(3993,plain,
% 24.08/15.82 ($false),
% 24.08/15.82 inference(unit_resolution,[status(thm)],[3992, 797, 3991])).
% 24.08/15.82 tff(3994,plain,(~v26(constB23)), inference(lemma,lemma(discharge,[]))).
% 24.08/15.82 tff(3995,plain,
% 24.08/15.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | v112(constB23) | (~v113(constB23)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | v112(constB23) | (~v113(constB23)))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3996,plain,
% 24.08/15.82 ((v26(constB23) | (~v113(constB23)) | v112(constB23)) <=> (v26(constB23) | v112(constB23) | (~v113(constB23)))),
% 24.08/15.82 inference(rewrite,[status(thm)],[])).
% 24.08/15.82 tff(3997,plain,
% 24.08/15.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | v112(constB23) | (~v113(constB23))))),
% 24.08/15.83 inference(monotonicity,[status(thm)],[3996])).
% 24.08/15.83 tff(3998,plain,
% 24.08/15.83 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | v112(constB23) | (~v113(constB23)))),
% 24.08/15.83 inference(transitivity,[status(thm)],[3997, 3995])).
% 24.08/15.83 tff(3999,plain,
% 24.08/15.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))),
% 24.08/15.83 inference(quant_inst,[status(thm)],[])).
% 24.08/15.83 tff(4000,plain,
% 24.08/15.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | v112(constB23) | (~v113(constB23))),
% 24.08/15.83 inference(modus_ponens,[status(thm)],[3999, 3998])).
% 24.08/15.83 tff(4001,plain,
% 24.08/15.83 (v112(constB23) | (~v113(constB23))),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4000, 1050, 3994])).
% 24.08/15.83 tff(4002,plain,
% 24.08/15.83 (v112(constB23)),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4001, 3990])).
% 24.08/15.83 tff(4003,plain,
% 24.08/15.83 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB23) | (~v112(constB23)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v112(constB23)))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4004,plain,
% 24.08/15.83 (((~v112(constB23)) | v108(constB23)) <=> (v108(constB23) | (~v112(constB23)))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4005,plain,
% 24.08/15.83 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB23)) | v108(constB23))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB23) | (~v112(constB23))))),
% 24.08/15.83 inference(monotonicity,[status(thm)],[4004])).
% 24.08/15.83 tff(4006,plain,
% 24.08/15.83 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB23)) | v108(constB23))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v112(constB23)))),
% 24.08/15.83 inference(transitivity,[status(thm)],[4005, 4003])).
% 24.08/15.83 tff(4007,plain,
% 24.08/15.83 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB23)) | v108(constB23))),
% 24.08/15.83 inference(quant_inst,[status(thm)],[])).
% 24.08/15.83 tff(4008,plain,
% 24.08/15.83 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v112(constB23))),
% 24.08/15.83 inference(modus_ponens,[status(thm)],[4007, 4006])).
% 24.08/15.83 tff(4009,plain,
% 24.08/15.83 (v108(constB23)),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4008, 1062, 4002])).
% 24.08/15.83 tff(4010,plain,
% 24.08/15.83 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4011,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_23_1')).
% 24.08/15.83 tff(4012,plain,
% 24.08/15.83 (nextState(constB23, constB24)),
% 24.08/15.83 inference(modus_ponens,[status(thm)],[4011, 4010])).
% 24.08/15.83 tff(4013,plain,
% 24.08/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4014,plain,
% 24.08/15.83 (((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24)) <=> ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4015,plain,
% 24.08/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23))))),
% 24.08/15.83 inference(monotonicity,[status(thm)],[4014])).
% 24.08/15.83 tff(4016,plain,
% 24.08/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 24.08/15.83 inference(transitivity,[status(thm)],[4015, 4013])).
% 24.08/15.83 tff(4017,plain,
% 24.08/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))),
% 24.08/15.83 inference(quant_inst,[status(thm)],[])).
% 24.08/15.83 tff(4018,plain,
% 24.08/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23))),
% 24.08/15.83 inference(modus_ponens,[status(thm)],[4017, 4016])).
% 24.08/15.83 tff(4019,plain,
% 24.08/15.83 (v110(constB24) | (~v108(constB23))),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4018, 1082, 4012])).
% 24.08/15.83 tff(4020,plain,
% 24.08/15.83 (v110(constB24)),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4019, 4009])).
% 24.08/15.83 tff(4021,plain,
% 24.08/15.83 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4022,plain,
% 24.08/15.83 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))),
% 24.08/15.83 inference(quant_inst,[status(thm)],[])).
% 24.08/15.83 tff(4023,plain,
% 24.08/15.83 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24))),
% 24.08/15.83 inference(modus_ponens,[status(thm)],[4022, 4021])).
% 24.08/15.83 tff(4024,plain,
% 24.08/15.83 (~v104(constB24)),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4023, 1100, 4012, 3862])).
% 24.08/15.83 tff(4025,plain,
% 24.08/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4026,plain,
% 24.08/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))),
% 24.08/15.83 inference(quant_inst,[status(thm)],[])).
% 24.08/15.83 tff(4027,plain,
% 24.08/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v102(constB24) | v104(constB24)),
% 24.08/15.83 inference(modus_ponens,[status(thm)],[4026, 4025])).
% 24.08/15.83 tff(4028,plain,
% 24.08/15.83 (v102(constB24) | v104(constB24)),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4027, 1114, 4012])).
% 24.08/15.83 tff(4029,plain,
% 24.08/15.83 (v102(constB24)),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4028, 4024])).
% 24.08/15.83 tff(4030,plain,
% 24.08/15.83 (v1(constB24) <=> v1(constB24)),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4031,axiom,(v1(constB24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_24_1')).
% 24.08/15.83 tff(4032,plain,
% 24.08/15.83 (v1(constB24)),
% 24.08/15.83 inference(modus_ponens,[status(thm)],[4031, 4030])).
% 24.08/15.83 tff(4033,plain,
% 24.08/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4034,plain,
% 24.08/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))),
% 24.08/15.83 inference(quant_inst,[status(thm)],[])).
% 24.08/15.83 tff(4035,plain,
% 24.08/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24))),
% 24.08/15.83 inference(modus_ponens,[status(thm)],[4034, 4033])).
% 24.08/15.83 tff(4036,plain,
% 24.08/15.83 (v101(constB24) | (~v102(constB24))),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4035, 1129, 4012, 4032])).
% 24.08/15.83 tff(4037,plain,
% 24.08/15.83 (v101(constB24)),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4036, 4029])).
% 24.08/15.83 tff(4038,plain,
% 24.08/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4039,plain,
% 24.08/15.83 (((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24)) <=> ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4040,plain,
% 24.08/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24))))),
% 24.08/15.83 inference(monotonicity,[status(thm)],[4039])).
% 24.08/15.83 tff(4041,plain,
% 24.08/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 24.08/15.83 inference(transitivity,[status(thm)],[4040, 4038])).
% 24.08/15.83 tff(4042,plain,
% 24.08/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))),
% 24.08/15.83 inference(quant_inst,[status(thm)],[])).
% 24.08/15.83 tff(4043,plain,
% 24.08/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 24.08/15.83 inference(modus_ponens,[status(thm)],[4042, 4041])).
% 24.08/15.83 tff(4044,plain,
% 24.08/15.83 (v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4043, 1144, 4012])).
% 24.08/15.83 tff(4045,plain,
% 24.08/15.83 (v100(constB24) | (~v110(constB24))),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4044, 4037])).
% 24.08/15.83 tff(4046,plain,
% 24.08/15.83 (v100(constB24)),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4045, 4020])).
% 24.08/15.83 tff(4047,plain,
% 24.08/15.83 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB23)) | v130(constB23, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB23)) | v130(constB23, bitIndex2))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4048,plain,
% 24.08/15.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB23)) | v130(constB23, bitIndex2))),
% 24.08/15.83 inference(quant_inst,[status(thm)],[])).
% 24.08/15.83 tff(4049,plain,
% 24.08/15.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB23)) | v130(constB23, bitIndex2)),
% 24.08/15.83 inference(modus_ponens,[status(thm)],[4048, 4047])).
% 24.08/15.83 tff(4050,plain,
% 24.08/15.83 (v130(constB23, bitIndex2)),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4049, 1483, 3969])).
% 24.08/15.83 tff(4051,plain,
% 24.08/15.83 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4052,plain,
% 24.08/15.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2))),
% 24.08/15.83 inference(quant_inst,[status(thm)],[])).
% 24.08/15.83 tff(4053,plain,
% 24.08/15.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2)),
% 24.08/15.83 inference(modus_ponens,[status(thm)],[4052, 4051])).
% 24.08/15.83 tff(4054,plain,
% 24.08/15.83 ((~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2)),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4053, 1174, 3994])).
% 24.08/15.83 tff(4055,plain,
% 24.08/15.83 (v127(constB23, bitIndex2)),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4054, 4050])).
% 24.08/15.83 tff(4056,plain,
% 24.08/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4057,plain,
% 24.08/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2))),
% 24.08/15.83 inference(quant_inst,[status(thm)],[])).
% 24.08/15.83 tff(4058,plain,
% 24.08/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2)),
% 24.08/15.83 inference(modus_ponens,[status(thm)],[4057, 4056])).
% 24.08/15.83 tff(4059,plain,
% 24.08/15.83 ((~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2)),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4058, 1189, 4012])).
% 24.08/15.83 tff(4060,plain,
% 24.08/15.83 (v129(constB24, bitIndex2)),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4059, 4055])).
% 24.08/15.83 tff(4061,plain,
% 24.08/15.83 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4062,plain,
% 24.08/15.83 ((v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2))) <=> (v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4063,plain,
% 24.08/15.83 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24))))),
% 24.08/15.83 inference(monotonicity,[status(thm)],[4062])).
% 24.08/15.83 tff(4064,plain,
% 24.08/15.83 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))),
% 24.08/15.83 inference(transitivity,[status(thm)],[4063, 4061])).
% 24.08/15.83 tff(4065,plain,
% 24.08/15.83 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2)))),
% 24.08/15.83 inference(quant_inst,[status(thm)],[])).
% 24.08/15.83 tff(4066,plain,
% 24.08/15.83 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24))),
% 24.08/15.83 inference(modus_ponens,[status(thm)],[4065, 4064])).
% 24.08/15.83 tff(4067,plain,
% 24.08/15.83 (v90(constB24, bitIndex2) | (~v100(constB24))),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4066, 1204, 4060])).
% 24.08/15.83 tff(4068,plain,
% 24.08/15.83 (v90(constB24, bitIndex2)),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4067, 4046])).
% 24.08/15.83 tff(4069,plain,
% 24.08/15.83 ((~v1(constB25)) <=> (~v1(constB25))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4070,axiom,(~v1(constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_25_1_1')).
% 24.08/15.83 tff(4071,plain,
% 24.08/15.83 (~v1(constB25)),
% 24.08/15.83 inference(modus_ponens,[status(thm)],[4070, 4069])).
% 24.08/15.83 tff(4072,plain,
% 24.08/15.83 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4073,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_24_1')).
% 24.08/15.83 tff(4074,plain,
% 24.08/15.83 (nextState(constB24, constB25)),
% 24.08/15.83 inference(modus_ponens,[status(thm)],[4073, 4072])).
% 24.08/15.83 tff(4075,plain,
% 24.08/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4076,plain,
% 24.08/15.83 (((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25)) <=> (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4077,plain,
% 24.08/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25))))),
% 24.08/15.83 inference(monotonicity,[status(thm)],[4076])).
% 24.08/15.83 tff(4078,plain,
% 24.08/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 24.08/15.83 inference(transitivity,[status(thm)],[4077, 4075])).
% 24.08/15.83 tff(4079,plain,
% 24.08/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))),
% 24.08/15.83 inference(quant_inst,[status(thm)],[])).
% 24.08/15.83 tff(4080,plain,
% 24.08/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25))),
% 24.08/15.83 inference(modus_ponens,[status(thm)],[4079, 4078])).
% 24.08/15.83 tff(4081,plain,
% 24.08/15.83 (~v101(constB25)),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4080, 860, 4074, 4071])).
% 24.08/15.83 tff(4082,plain,
% 24.08/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4083,plain,
% 24.08/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))),
% 24.08/15.83 inference(quant_inst,[status(thm)],[])).
% 24.08/15.83 tff(4084,plain,
% 24.08/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25))),
% 24.08/15.83 inference(modus_ponens,[status(thm)],[4083, 4082])).
% 24.08/15.83 tff(4085,plain,
% 24.08/15.83 (v101(constB25) | (~v100(constB25))),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4084, 877, 4074])).
% 24.08/15.83 tff(4086,plain,
% 24.08/15.83 (~v100(constB25)),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4085, 4081])).
% 24.08/15.83 tff(4087,plain,
% 24.08/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4088,plain,
% 24.08/15.83 (((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2)) <=> ((~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4089,plain,
% 24.08/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2)))),
% 24.08/15.83 inference(monotonicity,[status(thm)],[4088])).
% 24.08/15.83 tff(4090,plain,
% 24.08/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))),
% 24.08/15.83 inference(transitivity,[status(thm)],[4089, 4087])).
% 24.08/15.83 tff(4091,plain,
% 24.08/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2))),
% 24.08/15.83 inference(quant_inst,[status(thm)],[])).
% 24.08/15.83 tff(4092,plain,
% 24.08/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2)),
% 24.08/15.83 inference(modus_ponens,[status(thm)],[4091, 4090])).
% 24.08/15.83 tff(4093,plain,
% 24.08/15.83 ((~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2)),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4092, 1240, 4074])).
% 24.08/15.83 tff(4094,plain,
% 24.08/15.83 ((~v90(constB24, bitIndex2)) | v90(constB25, bitIndex2)),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4093, 4086])).
% 24.08/15.83 tff(4095,plain,
% 24.08/15.83 (v90(constB25, bitIndex2)),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4094, 4068])).
% 24.08/15.83 tff(4096,plain,
% 24.08/15.83 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB23)) | v130(constB23, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB23)) | v130(constB23, bitIndex1))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4097,plain,
% 24.08/15.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB23)) | v130(constB23, bitIndex1))),
% 24.08/15.83 inference(quant_inst,[status(thm)],[])).
% 24.08/15.83 tff(4098,plain,
% 24.08/15.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB23)) | v130(constB23, bitIndex1)),
% 24.08/15.83 inference(modus_ponens,[status(thm)],[4097, 4096])).
% 24.08/15.83 tff(4099,plain,
% 24.08/15.83 (v130(constB23, bitIndex1)),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4098, 1539, 3969])).
% 24.08/15.83 tff(4100,plain,
% 24.08/15.83 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4101,plain,
% 24.08/15.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1))),
% 24.08/15.83 inference(quant_inst,[status(thm)],[])).
% 24.08/15.83 tff(4102,plain,
% 24.08/15.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1)),
% 24.08/15.83 inference(modus_ponens,[status(thm)],[4101, 4100])).
% 24.08/15.83 tff(4103,plain,
% 24.08/15.83 ((~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1)),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4102, 1553, 3994])).
% 24.08/15.83 tff(4104,plain,
% 24.08/15.83 (v127(constB23, bitIndex1)),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4103, 4099])).
% 24.08/15.83 tff(4105,plain,
% 24.08/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4106,plain,
% 24.08/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1))),
% 24.08/15.83 inference(quant_inst,[status(thm)],[])).
% 24.08/15.83 tff(4107,plain,
% 24.08/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1)),
% 24.08/15.83 inference(modus_ponens,[status(thm)],[4106, 4105])).
% 24.08/15.83 tff(4108,plain,
% 24.08/15.83 ((~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1)),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4107, 1568, 4012])).
% 24.08/15.83 tff(4109,plain,
% 24.08/15.83 (v129(constB24, bitIndex1)),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4108, 4104])).
% 24.08/15.83 tff(4110,plain,
% 24.08/15.83 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4111,plain,
% 24.08/15.83 ((v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1))) <=> (v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4112,plain,
% 24.08/15.83 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24))))),
% 24.08/15.83 inference(monotonicity,[status(thm)],[4111])).
% 24.08/15.83 tff(4113,plain,
% 24.08/15.83 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))),
% 24.08/15.83 inference(transitivity,[status(thm)],[4112, 4110])).
% 24.08/15.83 tff(4114,plain,
% 24.08/15.83 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1)))),
% 24.08/15.83 inference(quant_inst,[status(thm)],[])).
% 24.08/15.83 tff(4115,plain,
% 24.08/15.83 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24))),
% 24.08/15.83 inference(modus_ponens,[status(thm)],[4114, 4113])).
% 24.08/15.83 tff(4116,plain,
% 24.08/15.83 (v90(constB24, bitIndex1) | (~v100(constB24))),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4115, 1583, 4109])).
% 24.08/15.83 tff(4117,plain,
% 24.08/15.83 (v90(constB24, bitIndex1)),
% 24.08/15.83 inference(unit_resolution,[status(thm)],[4116, 4046])).
% 24.08/15.83 tff(4118,plain,
% 24.08/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4119,plain,
% 24.08/15.83 (((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1)) <=> ((~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))),
% 24.08/15.83 inference(rewrite,[status(thm)],[])).
% 24.08/15.83 tff(4120,plain,
% 24.08/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1)))),
% 24.08/15.83 inference(monotonicity,[status(thm)],[4119])).
% 24.08/15.83 tff(4121,plain,
% 24.08/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))),
% 24.08/15.84 inference(transitivity,[status(thm)],[4120, 4118])).
% 24.08/15.84 tff(4122,plain,
% 24.08/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1))),
% 24.08/15.84 inference(quant_inst,[status(thm)],[])).
% 24.08/15.84 tff(4123,plain,
% 24.08/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1)),
% 24.08/15.84 inference(modus_ponens,[status(thm)],[4122, 4121])).
% 24.08/15.84 tff(4124,plain,
% 24.08/15.84 ((~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4123, 1601, 4074])).
% 24.08/15.84 tff(4125,plain,
% 24.08/15.84 ((~v90(constB24, bitIndex1)) | v90(constB25, bitIndex1)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4124, 4086])).
% 24.08/15.84 tff(4126,plain,
% 24.08/15.84 (v90(constB25, bitIndex1)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4125, 4117])).
% 24.08/15.84 tff(4127,plain,
% 24.08/15.84 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB23)) | (~v130(constB23, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB23)) | (~v130(constB23, bitIndex0)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4128,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB23)) | (~v130(constB23, bitIndex0)))),
% 24.08/15.84 inference(quant_inst,[status(thm)],[])).
% 24.08/15.84 tff(4129,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB23)) | (~v130(constB23, bitIndex0))),
% 24.08/15.84 inference(modus_ponens,[status(thm)],[4128, 4127])).
% 24.08/15.84 tff(4130,plain,
% 24.08/15.84 (~v130(constB23, bitIndex0)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4129, 1617, 3969])).
% 24.08/15.84 tff(4131,plain,
% 24.08/15.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4132,plain,
% 24.08/15.84 ((v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0))) <=> ((~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4133,plain,
% 24.08/15.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0)))),
% 24.08/15.84 inference(monotonicity,[status(thm)],[4132])).
% 24.08/15.84 tff(4134,plain,
% 24.08/15.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))),
% 24.08/15.84 inference(transitivity,[status(thm)],[4133, 4131])).
% 24.08/15.84 tff(4135,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0)))),
% 24.08/15.84 inference(quant_inst,[status(thm)],[])).
% 24.08/15.84 tff(4136,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0)),
% 24.08/15.84 inference(modus_ponens,[status(thm)],[4135, 4134])).
% 24.08/15.84 tff(4137,plain,
% 24.08/15.84 ((~v127(constB23, bitIndex0)) | v130(constB23, bitIndex0)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4136, 1341, 3994])).
% 24.08/15.84 tff(4138,plain,
% 24.08/15.84 (~v127(constB23, bitIndex0)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4137, 4130])).
% 24.08/15.84 tff(4139,plain,
% 24.08/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4140,plain,
% 24.08/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0)))),
% 24.08/15.84 inference(quant_inst,[status(thm)],[])).
% 24.08/15.84 tff(4141,plain,
% 24.08/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0))),
% 24.08/15.84 inference(modus_ponens,[status(thm)],[4140, 4139])).
% 24.08/15.84 tff(4142,plain,
% 24.08/15.84 (v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0))),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4141, 1359, 4012])).
% 24.08/15.84 tff(4143,plain,
% 24.08/15.84 (~v129(constB24, bitIndex0)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4142, 4138])).
% 24.08/15.84 tff(4144,plain,
% 24.08/15.84 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4145,plain,
% 24.08/15.84 (((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0)) <=> ((~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4146,plain,
% 24.08/15.84 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24))))),
% 24.08/15.84 inference(monotonicity,[status(thm)],[4145])).
% 24.08/15.84 tff(4147,plain,
% 24.08/15.84 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))),
% 24.08/15.84 inference(transitivity,[status(thm)],[4146, 4144])).
% 24.08/15.84 tff(4148,plain,
% 24.08/15.84 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0))),
% 24.08/15.84 inference(quant_inst,[status(thm)],[])).
% 24.08/15.84 tff(4149,plain,
% 24.08/15.84 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24))),
% 24.08/15.84 inference(modus_ponens,[status(thm)],[4148, 4147])).
% 24.08/15.84 tff(4150,plain,
% 24.08/15.84 ((~v90(constB24, bitIndex0)) | (~v100(constB24))),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4149, 1374, 4143])).
% 24.08/15.84 tff(4151,plain,
% 24.08/15.84 (~v90(constB24, bitIndex0)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4150, 4046])).
% 24.08/15.84 tff(4152,plain,
% 24.08/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4153,plain,
% 24.08/15.84 (((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0))) <=> (v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4154,plain,
% 24.08/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0))))),
% 24.08/15.84 inference(monotonicity,[status(thm)],[4153])).
% 24.08/15.84 tff(4155,plain,
% 24.08/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 24.08/15.84 inference(transitivity,[status(thm)],[4154, 4152])).
% 24.08/15.84 tff(4156,plain,
% 24.08/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 24.08/15.84 inference(quant_inst,[status(thm)],[])).
% 24.08/15.84 tff(4157,plain,
% 24.08/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0))),
% 24.08/15.84 inference(modus_ponens,[status(thm)],[4156, 4155])).
% 24.08/15.84 tff(4158,plain,
% 24.08/15.84 (v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0))),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4157, 934, 4074])).
% 24.08/15.84 tff(4159,plain,
% 24.08/15.84 (v90(constB24, bitIndex0) | (~v90(constB25, bitIndex0))),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4158, 4086])).
% 24.08/15.84 tff(4160,plain,
% 24.08/15.84 (~v90(constB25, bitIndex0)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4159, 4151])).
% 24.08/15.84 tff(4161,plain,
% 24.08/15.84 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4162,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25))),
% 24.08/15.84 inference(quant_inst,[status(thm)],[])).
% 24.08/15.84 tff(4163,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25)),
% 24.08/15.84 inference(modus_ponens,[status(thm)],[4162, 4161])).
% 24.08/15.84 tff(4164,plain,
% 24.08/15.84 (v125(constB25)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4163, 1661, 4160, 4126, 4095])).
% 24.08/15.84 tff(4165,plain,
% 24.08/15.84 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB25) | (~v125(constB25)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB25) | (~v125(constB25)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4166,plain,
% 24.08/15.84 (((~v125(constB25)) | v113(constB25)) <=> (v113(constB25) | (~v125(constB25)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4167,plain,
% 24.08/15.84 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB25)) | v113(constB25))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB25) | (~v125(constB25))))),
% 24.08/15.84 inference(monotonicity,[status(thm)],[4166])).
% 24.08/15.84 tff(4168,plain,
% 24.08/15.84 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB25)) | v113(constB25))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB25) | (~v125(constB25)))),
% 24.08/15.84 inference(transitivity,[status(thm)],[4167, 4165])).
% 24.08/15.84 tff(4169,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB25)) | v113(constB25))),
% 24.08/15.84 inference(quant_inst,[status(thm)],[])).
% 24.08/15.84 tff(4170,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB25) | (~v125(constB25))),
% 24.08/15.84 inference(modus_ponens,[status(thm)],[4169, 4168])).
% 24.08/15.84 tff(4171,plain,
% 24.08/15.84 (v113(constB25)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4170, 1672, 4164])).
% 24.08/15.84 tff(4172,assumption,(v26(constB25)), introduced(assumption)).
% 24.08/15.84 tff(4173,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB25))),
% 24.08/15.84 inference(quant_inst,[status(thm)],[])).
% 24.08/15.84 tff(4174,plain,
% 24.08/15.84 ($false),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4173, 797, 4172])).
% 24.08/15.84 tff(4175,plain,(~v26(constB25)), inference(lemma,lemma(discharge,[]))).
% 24.08/15.84 tff(4176,plain,
% 24.08/15.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | v112(constB25) | (~v113(constB25)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4177,plain,
% 24.08/15.84 ((v26(constB25) | (~v113(constB25)) | v112(constB25)) <=> (v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4178,plain,
% 24.08/15.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | v112(constB25) | (~v113(constB25))))),
% 24.08/15.84 inference(monotonicity,[status(thm)],[4177])).
% 24.08/15.84 tff(4179,plain,
% 24.08/15.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 24.08/15.84 inference(transitivity,[status(thm)],[4178, 4176])).
% 24.08/15.84 tff(4180,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))),
% 24.08/15.84 inference(quant_inst,[status(thm)],[])).
% 24.08/15.84 tff(4181,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25))),
% 24.08/15.84 inference(modus_ponens,[status(thm)],[4180, 4179])).
% 24.08/15.84 tff(4182,plain,
% 24.08/15.84 (v112(constB25) | (~v113(constB25))),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4181, 1050, 4175])).
% 24.08/15.84 tff(4183,plain,
% 24.08/15.84 (v112(constB25)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4182, 4171])).
% 24.08/15.84 tff(4184,plain,
% 24.08/15.84 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB25) | (~v112(constB25)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v112(constB25)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4185,plain,
% 24.08/15.84 (((~v112(constB25)) | v108(constB25)) <=> (v108(constB25) | (~v112(constB25)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4186,plain,
% 24.08/15.84 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB25)) | v108(constB25))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB25) | (~v112(constB25))))),
% 24.08/15.84 inference(monotonicity,[status(thm)],[4185])).
% 24.08/15.84 tff(4187,plain,
% 24.08/15.84 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB25)) | v108(constB25))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v112(constB25)))),
% 24.08/15.84 inference(transitivity,[status(thm)],[4186, 4184])).
% 24.08/15.84 tff(4188,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB25)) | v108(constB25))),
% 24.08/15.84 inference(quant_inst,[status(thm)],[])).
% 24.08/15.84 tff(4189,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v112(constB25))),
% 24.08/15.84 inference(modus_ponens,[status(thm)],[4188, 4187])).
% 24.08/15.84 tff(4190,plain,
% 24.08/15.84 (v108(constB25)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4189, 1062, 4183])).
% 24.08/15.84 tff(4191,plain,
% 24.08/15.84 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4192,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_25_1')).
% 24.08/15.84 tff(4193,plain,
% 24.08/15.84 (nextState(constB25, constB26)),
% 24.08/15.84 inference(modus_ponens,[status(thm)],[4192, 4191])).
% 24.08/15.84 tff(4194,plain,
% 24.08/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4195,plain,
% 24.08/15.84 (((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26)) <=> ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4196,plain,
% 24.08/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25))))),
% 24.08/15.84 inference(monotonicity,[status(thm)],[4195])).
% 24.08/15.84 tff(4197,plain,
% 24.08/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 24.08/15.84 inference(transitivity,[status(thm)],[4196, 4194])).
% 24.08/15.84 tff(4198,plain,
% 24.08/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))),
% 24.08/15.84 inference(quant_inst,[status(thm)],[])).
% 24.08/15.84 tff(4199,plain,
% 24.08/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25))),
% 24.08/15.84 inference(modus_ponens,[status(thm)],[4198, 4197])).
% 24.08/15.84 tff(4200,plain,
% 24.08/15.84 (v110(constB26) | (~v108(constB25))),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4199, 1082, 4193])).
% 24.08/15.84 tff(4201,plain,
% 24.08/15.84 (v110(constB26)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4200, 4190])).
% 24.08/15.84 tff(4202,plain,
% 24.08/15.84 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4203,plain,
% 24.08/15.84 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))),
% 24.08/15.84 inference(quant_inst,[status(thm)],[])).
% 24.08/15.84 tff(4204,plain,
% 24.08/15.84 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26))),
% 24.08/15.84 inference(modus_ponens,[status(thm)],[4203, 4202])).
% 24.08/15.84 tff(4205,plain,
% 24.08/15.84 (~v104(constB26)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4204, 1100, 4193, 4071])).
% 24.08/15.84 tff(4206,plain,
% 24.08/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4207,plain,
% 24.08/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))),
% 24.08/15.84 inference(quant_inst,[status(thm)],[])).
% 24.08/15.84 tff(4208,plain,
% 24.08/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v102(constB26) | v104(constB26)),
% 24.08/15.84 inference(modus_ponens,[status(thm)],[4207, 4206])).
% 24.08/15.84 tff(4209,plain,
% 24.08/15.84 (v102(constB26) | v104(constB26)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4208, 1114, 4193])).
% 24.08/15.84 tff(4210,plain,
% 24.08/15.84 (v102(constB26)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4209, 4205])).
% 24.08/15.84 tff(4211,plain,
% 24.08/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4212,plain,
% 24.08/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))),
% 24.08/15.84 inference(quant_inst,[status(thm)],[])).
% 24.08/15.84 tff(4213,plain,
% 24.08/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26))),
% 24.08/15.84 inference(modus_ponens,[status(thm)],[4212, 4211])).
% 24.08/15.84 tff(4214,plain,
% 24.08/15.84 (v101(constB26) | (~v102(constB26))),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4213, 1129, 4193, 53])).
% 24.08/15.84 tff(4215,plain,
% 24.08/15.84 (v101(constB26)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4214, 4210])).
% 24.08/15.84 tff(4216,plain,
% 24.08/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4217,plain,
% 24.08/15.84 (((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26)) <=> ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4218,plain,
% 24.08/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26))))),
% 24.08/15.84 inference(monotonicity,[status(thm)],[4217])).
% 24.08/15.84 tff(4219,plain,
% 24.08/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 24.08/15.84 inference(transitivity,[status(thm)],[4218, 4216])).
% 24.08/15.84 tff(4220,plain,
% 24.08/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))),
% 24.08/15.84 inference(quant_inst,[status(thm)],[])).
% 24.08/15.84 tff(4221,plain,
% 24.08/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 24.08/15.84 inference(modus_ponens,[status(thm)],[4220, 4219])).
% 24.08/15.84 tff(4222,plain,
% 24.08/15.84 (v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4221, 1144, 4193])).
% 24.08/15.84 tff(4223,plain,
% 24.08/15.84 (v100(constB26) | (~v110(constB26))),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4222, 4215])).
% 24.08/15.84 tff(4224,plain,
% 24.08/15.84 (v100(constB26)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4223, 4201])).
% 24.08/15.84 tff(4225,plain,
% 24.08/15.84 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB25)) | (~v90(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB25)) | (~v90(constB25, bitIndex2)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4226,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB25)) | (~v90(constB25, bitIndex2)))),
% 24.08/15.84 inference(quant_inst,[status(thm)],[])).
% 24.08/15.84 tff(4227,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB25)) | (~v90(constB25, bitIndex2))),
% 24.08/15.84 inference(modus_ponens,[status(thm)],[4226, 4225])).
% 24.08/15.84 tff(4228,plain,
% 24.08/15.84 (~v121(constB25)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4227, 1729, 4095])).
% 24.08/15.84 tff(4229,plain,
% 24.08/15.84 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB25)) | (~v90(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB25)) | (~v90(constB25, bitIndex2)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4230,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB25)) | (~v90(constB25, bitIndex2)))),
% 24.08/15.84 inference(quant_inst,[status(thm)],[])).
% 24.08/15.84 tff(4231,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB25)) | (~v90(constB25, bitIndex2))),
% 24.08/15.84 inference(modus_ponens,[status(thm)],[4230, 4229])).
% 24.08/15.84 tff(4232,plain,
% 24.08/15.84 (~v122(constB25)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4231, 1740, 4095])).
% 24.08/15.84 tff(4233,plain,
% 24.08/15.84 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB25)) | (~v90(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB25)) | (~v90(constB25, bitIndex1)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4234,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB25)) | (~v90(constB25, bitIndex1)))),
% 24.08/15.84 inference(quant_inst,[status(thm)],[])).
% 24.08/15.84 tff(4235,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB25)) | (~v90(constB25, bitIndex1))),
% 24.08/15.84 inference(modus_ponens,[status(thm)],[4234, 4233])).
% 24.08/15.84 tff(4236,plain,
% 24.08/15.84 (~v119(constB25)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4235, 1751, 4126])).
% 24.08/15.84 tff(4237,plain,
% 24.08/15.84 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB25)) | (~v90(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB25)) | (~v90(constB25, bitIndex1)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4238,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB25)) | (~v90(constB25, bitIndex1)))),
% 24.08/15.84 inference(quant_inst,[status(thm)],[])).
% 24.08/15.84 tff(4239,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB25)) | (~v90(constB25, bitIndex1))),
% 24.08/15.84 inference(modus_ponens,[status(thm)],[4238, 4237])).
% 24.08/15.84 tff(4240,plain,
% 24.08/15.84 (~v120(constB25)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4239, 1762, 4126])).
% 24.08/15.84 tff(4241,plain,
% 24.08/15.84 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB25)) | (~v90(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB25)) | (~v90(constB25, bitIndex1)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4242,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB25)) | (~v90(constB25, bitIndex1)))),
% 24.08/15.84 inference(quant_inst,[status(thm)],[])).
% 24.08/15.84 tff(4243,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB25)) | (~v90(constB25, bitIndex1))),
% 24.08/15.84 inference(modus_ponens,[status(thm)],[4242, 4241])).
% 24.08/15.84 tff(4244,plain,
% 24.08/15.84 (~v123(constB25)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4243, 1773, 4126])).
% 24.08/15.84 tff(4245,plain,
% 24.08/15.84 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB25)) | (~v90(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB25)) | (~v90(constB25, bitIndex1)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4246,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB25)) | (~v90(constB25, bitIndex1)))),
% 24.08/15.84 inference(quant_inst,[status(thm)],[])).
% 24.08/15.84 tff(4247,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB25)) | (~v90(constB25, bitIndex1))),
% 24.08/15.84 inference(modus_ponens,[status(thm)],[4246, 4245])).
% 24.08/15.84 tff(4248,plain,
% 24.08/15.84 (~v124(constB25)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4247, 1784, 4126])).
% 24.08/15.84 tff(4249,plain,
% 24.08/15.84 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4250,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2)))),
% 24.08/15.84 inference(quant_inst,[status(thm)],[])).
% 24.08/15.84 tff(4251,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2))),
% 24.08/15.84 inference(modus_ponens,[status(thm)],[4250, 4249])).
% 24.08/15.84 tff(4252,plain,
% 24.08/15.84 (~v130(constB25, bitIndex2)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4251, 1798, 4248, 4244, 4240, 4236, 4232, 4228])).
% 24.08/15.84 tff(4253,plain,
% 24.08/15.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4254,plain,
% 24.08/15.84 ((v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2))) <=> ((~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4255,plain,
% 24.08/15.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2)))),
% 24.08/15.84 inference(monotonicity,[status(thm)],[4254])).
% 24.08/15.84 tff(4256,plain,
% 24.08/15.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))),
% 24.08/15.84 inference(transitivity,[status(thm)],[4255, 4253])).
% 24.08/15.84 tff(4257,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2)))),
% 24.08/15.84 inference(quant_inst,[status(thm)],[])).
% 24.08/15.84 tff(4258,plain,
% 24.08/15.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2)),
% 24.08/15.84 inference(modus_ponens,[status(thm)],[4257, 4256])).
% 24.08/15.84 tff(4259,plain,
% 24.08/15.84 ((~v127(constB25, bitIndex2)) | v130(constB25, bitIndex2)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4258, 1812, 4175])).
% 24.08/15.84 tff(4260,plain,
% 24.08/15.84 (~v127(constB25, bitIndex2)),
% 24.08/15.84 inference(unit_resolution,[status(thm)],[4259, 4252])).
% 24.08/15.84 tff(4261,plain,
% 24.08/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2)))),
% 24.08/15.84 inference(rewrite,[status(thm)],[])).
% 24.08/15.84 tff(4262,plain,
% 24.08/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2)))),
% 24.08/15.84 inference(quant_inst,[status(thm)],[])).
% 24.08/15.84 tff(4263,plain,
% 24.08/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2))),
% 24.08/15.84 inference(modus_ponens,[status(thm)],[4262, 4261])).
% 24.08/15.84 tff(4264,plain,
% 24.08/15.84 (v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2))),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4263, 1830, 4193])).
% 24.08/15.85 tff(4265,plain,
% 24.08/15.85 (~v129(constB26, bitIndex2)),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4264, 4260])).
% 24.08/15.85 tff(4266,plain,
% 24.08/15.85 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4267,plain,
% 24.08/15.85 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))),
% 24.08/15.85 inference(quant_inst,[status(thm)],[])).
% 24.08/15.85 tff(4268,plain,
% 24.08/15.85 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26))),
% 24.08/15.85 inference(modus_ponens,[status(thm)],[4267, 4266])).
% 24.08/15.85 tff(4269,plain,
% 24.08/15.85 ((~v90(constB26, bitIndex2)) | (~v100(constB26))),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4268, 1845, 4265])).
% 24.08/15.85 tff(4270,plain,
% 24.08/15.85 (~v90(constB26, bitIndex2)),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4269, 4224])).
% 24.08/15.85 tff(4271,plain,
% 24.08/15.85 ((~v1(constB27)) <=> (~v1(constB27))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4272,axiom,(~v1(constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_27_1_1')).
% 24.08/15.85 tff(4273,plain,
% 24.08/15.85 (~v1(constB27)),
% 24.08/15.85 inference(modus_ponens,[status(thm)],[4272, 4271])).
% 24.08/15.85 tff(4274,plain,
% 24.08/15.85 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4275,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_26_1')).
% 24.08/15.85 tff(4276,plain,
% 24.08/15.85 (nextState(constB26, constB27)),
% 24.08/15.85 inference(modus_ponens,[status(thm)],[4275, 4274])).
% 24.08/15.85 tff(4277,plain,
% 24.08/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4278,plain,
% 24.08/15.85 (((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27)) <=> (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4279,plain,
% 24.08/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27))))),
% 24.08/15.85 inference(monotonicity,[status(thm)],[4278])).
% 24.08/15.85 tff(4280,plain,
% 24.08/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 24.08/15.85 inference(transitivity,[status(thm)],[4279, 4277])).
% 24.08/15.85 tff(4281,plain,
% 24.08/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))),
% 24.08/15.85 inference(quant_inst,[status(thm)],[])).
% 24.08/15.85 tff(4282,plain,
% 24.08/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27))),
% 24.08/15.85 inference(modus_ponens,[status(thm)],[4281, 4280])).
% 24.08/15.85 tff(4283,plain,
% 24.08/15.85 (~v101(constB27)),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4282, 860, 4276, 4273])).
% 24.08/15.85 tff(4284,plain,
% 24.08/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4285,plain,
% 24.08/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))),
% 24.08/15.85 inference(quant_inst,[status(thm)],[])).
% 24.08/15.85 tff(4286,plain,
% 24.08/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27))),
% 24.08/15.85 inference(modus_ponens,[status(thm)],[4285, 4284])).
% 24.08/15.85 tff(4287,plain,
% 24.08/15.85 (v101(constB27) | (~v100(constB27))),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4286, 877, 4276])).
% 24.08/15.85 tff(4288,plain,
% 24.08/15.85 (~v100(constB27)),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4287, 4283])).
% 24.08/15.85 tff(4289,plain,
% 24.08/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4290,plain,
% 24.08/15.85 (((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2))) <=> (v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4291,plain,
% 24.08/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2))))),
% 24.08/15.85 inference(monotonicity,[status(thm)],[4290])).
% 24.08/15.85 tff(4292,plain,
% 24.08/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 24.08/15.85 inference(transitivity,[status(thm)],[4291, 4289])).
% 24.08/15.85 tff(4293,plain,
% 24.08/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 24.08/15.85 inference(quant_inst,[status(thm)],[])).
% 24.08/15.85 tff(4294,plain,
% 24.08/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2))),
% 24.08/15.85 inference(modus_ponens,[status(thm)],[4293, 4292])).
% 24.08/15.85 tff(4295,plain,
% 24.08/15.85 (v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2))),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4294, 892, 4276])).
% 24.08/15.85 tff(4296,plain,
% 24.08/15.85 (v90(constB26, bitIndex2) | (~v90(constB27, bitIndex2))),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4295, 4288])).
% 24.08/15.85 tff(4297,plain,
% 24.08/15.85 (~v90(constB27, bitIndex2)),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4296, 4270])).
% 24.08/15.85 tff(4298,plain,
% 24.08/15.85 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4299,plain,
% 24.08/15.85 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0))),
% 24.08/15.85 inference(quant_inst,[status(thm)],[])).
% 24.08/15.85 tff(4300,plain,
% 24.08/15.85 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0)),
% 24.08/15.85 inference(modus_ponens,[status(thm)],[4299, 4298])).
% 24.08/15.85 tff(4301,plain,
% 24.08/15.85 (v130(constB25, bitIndex0)),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4300, 1931, 4248, 4244, 4240, 4236, 4232, 4228])).
% 24.08/15.85 tff(4302,plain,
% 24.08/15.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4303,plain,
% 24.08/15.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0))),
% 24.08/15.85 inference(quant_inst,[status(thm)],[])).
% 24.08/15.85 tff(4304,plain,
% 24.08/15.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0)),
% 24.08/15.85 inference(modus_ponens,[status(thm)],[4303, 4302])).
% 24.08/15.85 tff(4305,plain,
% 24.08/15.85 ((~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0)),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4304, 1945, 4175])).
% 24.08/15.85 tff(4306,plain,
% 24.08/15.85 (v127(constB25, bitIndex0)),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4305, 4301])).
% 24.08/15.85 tff(4307,plain,
% 24.08/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4308,plain,
% 24.08/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0))),
% 24.08/15.85 inference(quant_inst,[status(thm)],[])).
% 24.08/15.85 tff(4309,plain,
% 24.08/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0)),
% 24.08/15.85 inference(modus_ponens,[status(thm)],[4308, 4307])).
% 24.08/15.85 tff(4310,plain,
% 24.08/15.85 ((~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0)),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4309, 1960, 4193])).
% 24.08/15.85 tff(4311,plain,
% 24.08/15.85 (v129(constB26, bitIndex0)),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4310, 4306])).
% 24.08/15.85 tff(4312,plain,
% 24.08/15.85 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4313,plain,
% 24.08/15.85 ((v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0))) <=> (v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4314,plain,
% 24.08/15.85 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26))))),
% 24.08/15.85 inference(monotonicity,[status(thm)],[4313])).
% 24.08/15.85 tff(4315,plain,
% 24.08/15.85 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))),
% 24.08/15.85 inference(transitivity,[status(thm)],[4314, 4312])).
% 24.08/15.85 tff(4316,plain,
% 24.08/15.85 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0)))),
% 24.08/15.85 inference(quant_inst,[status(thm)],[])).
% 24.08/15.85 tff(4317,plain,
% 24.08/15.85 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26))),
% 24.08/15.85 inference(modus_ponens,[status(thm)],[4316, 4315])).
% 24.08/15.85 tff(4318,plain,
% 24.08/15.85 (v90(constB26, bitIndex0) | (~v100(constB26))),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4317, 1975, 4311])).
% 24.08/15.85 tff(4319,plain,
% 24.08/15.85 (v90(constB26, bitIndex0)),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4318, 4224])).
% 24.08/15.85 tff(4320,plain,
% 24.08/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4321,plain,
% 24.08/15.85 (((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0)) <=> ((~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4322,plain,
% 24.08/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0)))),
% 24.08/15.85 inference(monotonicity,[status(thm)],[4321])).
% 24.08/15.85 tff(4323,plain,
% 24.08/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))),
% 24.08/15.85 inference(transitivity,[status(thm)],[4322, 4320])).
% 24.08/15.85 tff(4324,plain,
% 24.08/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0))),
% 24.08/15.85 inference(quant_inst,[status(thm)],[])).
% 24.08/15.85 tff(4325,plain,
% 24.08/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0)),
% 24.08/15.85 inference(modus_ponens,[status(thm)],[4324, 4323])).
% 24.08/15.85 tff(4326,plain,
% 24.08/15.85 ((~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0)),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4325, 1993, 4276])).
% 24.08/15.85 tff(4327,plain,
% 24.08/15.85 ((~v90(constB26, bitIndex0)) | v90(constB27, bitIndex0)),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4326, 4288])).
% 24.08/15.85 tff(4328,plain,
% 24.08/15.85 (v90(constB27, bitIndex0)),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4327, 4319])).
% 24.08/15.85 tff(4329,plain,
% 24.08/15.85 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1)))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4330,plain,
% 24.08/15.85 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1)))),
% 24.08/15.85 inference(quant_inst,[status(thm)],[])).
% 24.08/15.85 tff(4331,plain,
% 24.08/15.85 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1))),
% 24.08/15.85 inference(modus_ponens,[status(thm)],[4330, 4329])).
% 24.08/15.85 tff(4332,plain,
% 24.08/15.85 (~v130(constB25, bitIndex1)),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4331, 1887, 4248, 4244, 4240, 4236, 4232, 4228])).
% 24.08/15.85 tff(4333,plain,
% 24.08/15.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4334,plain,
% 24.08/15.85 ((v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1))) <=> ((~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4335,plain,
% 24.08/15.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1)))),
% 24.08/15.85 inference(monotonicity,[status(thm)],[4334])).
% 24.08/15.85 tff(4336,plain,
% 24.08/15.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))),
% 24.08/15.85 inference(transitivity,[status(thm)],[4335, 4333])).
% 24.08/15.85 tff(4337,plain,
% 24.08/15.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1)))),
% 24.08/15.85 inference(quant_inst,[status(thm)],[])).
% 24.08/15.85 tff(4338,plain,
% 24.08/15.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1)),
% 24.08/15.85 inference(modus_ponens,[status(thm)],[4337, 4336])).
% 24.08/15.85 tff(4339,plain,
% 24.08/15.85 ((~v127(constB25, bitIndex1)) | v130(constB25, bitIndex1)),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4338, 1270, 4175])).
% 24.08/15.85 tff(4340,plain,
% 24.08/15.85 (~v127(constB25, bitIndex1)),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4339, 4332])).
% 24.08/15.85 tff(4341,plain,
% 24.08/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1)))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4342,plain,
% 24.08/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1)))),
% 24.08/15.85 inference(quant_inst,[status(thm)],[])).
% 24.08/15.85 tff(4343,plain,
% 24.08/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1))),
% 24.08/15.85 inference(modus_ponens,[status(thm)],[4342, 4341])).
% 24.08/15.85 tff(4344,plain,
% 24.08/15.85 (v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1))),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4343, 1288, 4193])).
% 24.08/15.85 tff(4345,plain,
% 24.08/15.85 (~v129(constB26, bitIndex1)),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4344, 4340])).
% 24.08/15.85 tff(4346,plain,
% 24.08/15.85 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4347,plain,
% 24.08/15.85 (((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1)) <=> ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4348,plain,
% 24.08/15.85 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26))))),
% 24.08/15.85 inference(monotonicity,[status(thm)],[4347])).
% 24.08/15.85 tff(4349,plain,
% 24.08/15.85 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))),
% 24.08/15.85 inference(transitivity,[status(thm)],[4348, 4346])).
% 24.08/15.85 tff(4350,plain,
% 24.08/15.85 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1))),
% 24.08/15.85 inference(quant_inst,[status(thm)],[])).
% 24.08/15.85 tff(4351,plain,
% 24.08/15.85 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26))),
% 24.08/15.85 inference(modus_ponens,[status(thm)],[4350, 4349])).
% 24.08/15.85 tff(4352,plain,
% 24.08/15.85 ((~v90(constB26, bitIndex1)) | (~v100(constB26))),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4351, 1303, 4345])).
% 24.08/15.85 tff(4353,plain,
% 24.08/15.85 (~v90(constB26, bitIndex1)),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4352, 4224])).
% 24.08/15.85 tff(4354,plain,
% 24.08/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4355,plain,
% 24.08/15.85 (((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1))) <=> (v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4356,plain,
% 24.08/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1))))),
% 24.08/15.85 inference(monotonicity,[status(thm)],[4355])).
% 24.08/15.85 tff(4357,plain,
% 24.08/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 24.08/15.85 inference(transitivity,[status(thm)],[4356, 4354])).
% 24.08/15.85 tff(4358,plain,
% 24.08/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 24.08/15.85 inference(quant_inst,[status(thm)],[])).
% 24.08/15.85 tff(4359,plain,
% 24.08/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1))),
% 24.08/15.85 inference(modus_ponens,[status(thm)],[4358, 4357])).
% 24.08/15.85 tff(4360,plain,
% 24.08/15.85 (v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1))),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4359, 913, 4276])).
% 24.08/15.85 tff(4361,plain,
% 24.08/15.85 (v90(constB26, bitIndex1) | (~v90(constB27, bitIndex1))),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4360, 4288])).
% 24.08/15.85 tff(4362,plain,
% 24.08/15.85 (~v90(constB27, bitIndex1)),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4361, 4353])).
% 24.08/15.85 tff(4363,assumption,(~v120(constB27)), introduced(assumption)).
% 24.08/15.85 tff(4364,plain,
% 24.08/15.85 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4365,plain,
% 24.08/15.85 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))),
% 24.08/15.85 inference(quant_inst,[status(thm)],[])).
% 24.08/15.85 tff(4366,plain,
% 24.08/15.85 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27)),
% 24.08/15.85 inference(modus_ponens,[status(thm)],[4365, 4364])).
% 24.08/15.85 tff(4367,plain,
% 24.08/15.85 ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2)),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4366, 2012, 4363])).
% 24.08/15.85 tff(4368,plain,
% 24.08/15.85 ($false),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4367, 4362, 4328, 4297])).
% 24.08/15.85 tff(4369,plain,((~v123(constB23)) | v120(constB27)), inference(lemma,lemma(discharge,[]))).
% 24.08/15.85 tff(4370,plain,
% 24.08/15.85 (v120(constB27)),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4369, 3968])).
% 24.08/15.85 tff(4371,plain,
% 24.08/15.85 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB27)) | (~v130(constB27, bitIndex2)))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4372,plain,
% 24.08/15.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex2)))),
% 24.08/15.85 inference(quant_inst,[status(thm)],[])).
% 24.08/15.85 tff(4373,plain,
% 24.08/15.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB27)) | (~v130(constB27, bitIndex2))),
% 24.08/15.85 inference(modus_ponens,[status(thm)],[4372, 4371])).
% 24.08/15.85 tff(4374,plain,
% 24.08/15.85 (~v130(constB27, bitIndex2)),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4373, 2231, 4370])).
% 24.08/15.85 tff(4375,assumption,(v26(constB27)), introduced(assumption)).
% 24.08/15.85 tff(4376,plain,
% 24.08/15.85 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB27))),
% 24.08/15.85 inference(quant_inst,[status(thm)],[])).
% 24.08/15.85 tff(4377,plain,
% 24.08/15.85 ($false),
% 24.08/15.85 inference(unit_resolution,[status(thm)],[4376, 797, 4375])).
% 24.08/15.85 tff(4378,plain,(~v26(constB27)), inference(lemma,lemma(discharge,[]))).
% 24.08/15.85 tff(4379,plain,
% 24.08/15.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4380,plain,
% 24.08/15.85 ((v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2))) <=> ((~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))),
% 24.08/15.85 inference(rewrite,[status(thm)],[])).
% 24.08/15.85 tff(4381,plain,
% 24.08/15.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2)))),
% 24.08/15.86 inference(monotonicity,[status(thm)],[4380])).
% 24.08/15.86 tff(4382,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))),
% 24.08/15.86 inference(transitivity,[status(thm)],[4381, 4379])).
% 24.08/15.86 tff(4383,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2)))),
% 24.08/15.86 inference(quant_inst,[status(thm)],[])).
% 24.08/15.86 tff(4384,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2)),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4383, 4382])).
% 24.08/15.86 tff(4385,plain,
% 24.08/15.86 ((~v127(constB27, bitIndex2)) | v130(constB27, bitIndex2)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4384, 1812, 4378])).
% 24.08/15.86 tff(4386,plain,
% 24.08/15.86 (~v127(constB27, bitIndex2)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4385, 4374])).
% 24.08/15.86 tff(4387,plain,
% 24.08/15.86 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4388,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_27_1')).
% 24.08/15.86 tff(4389,plain,
% 24.08/15.86 (nextState(constB27, constB28)),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4388, 4387])).
% 24.08/15.86 tff(4390,plain,
% 24.08/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2)))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4391,plain,
% 24.08/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2)))),
% 24.08/15.86 inference(quant_inst,[status(thm)],[])).
% 24.08/15.86 tff(4392,plain,
% 24.08/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2))),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4391, 4390])).
% 24.08/15.86 tff(4393,plain,
% 24.08/15.86 (v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2))),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4392, 1830, 4389])).
% 24.08/15.86 tff(4394,plain,
% 24.08/15.86 (~v129(constB28, bitIndex2)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4393, 4386])).
% 24.08/15.86 tff(4395,assumption,(~v100(constB28)), introduced(assumption)).
% 24.08/15.86 tff(4396,plain,
% 24.08/15.86 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4397,plain,
% 24.08/15.86 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))),
% 24.08/15.86 inference(quant_inst,[status(thm)],[])).
% 24.08/15.86 tff(4398,plain,
% 24.08/15.86 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28))),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4397, 4396])).
% 24.08/15.86 tff(4399,plain,
% 24.08/15.86 (~v104(constB28)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4398, 1100, 4389, 4273])).
% 24.08/15.86 tff(4400,plain,
% 24.08/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4401,plain,
% 24.08/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))),
% 24.08/15.86 inference(quant_inst,[status(thm)],[])).
% 24.08/15.86 tff(4402,plain,
% 24.08/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v102(constB28) | v104(constB28)),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4401, 4400])).
% 24.08/15.86 tff(4403,plain,
% 24.08/15.86 (v102(constB28) | v104(constB28)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4402, 1114, 4389])).
% 24.08/15.86 tff(4404,plain,
% 24.08/15.86 (v102(constB28)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4403, 4399])).
% 24.08/15.86 tff(4405,plain,
% 24.08/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4406,plain,
% 24.08/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))),
% 24.08/15.86 inference(quant_inst,[status(thm)],[])).
% 24.08/15.86 tff(4407,plain,
% 24.08/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28))),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4406, 4405])).
% 24.08/15.86 tff(4408,plain,
% 24.08/15.86 (v101(constB28) | (~v102(constB28))),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4407, 1129, 4389, 537])).
% 24.08/15.86 tff(4409,plain,
% 24.08/15.86 (v101(constB28)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4408, 4404])).
% 24.08/15.86 tff(4410,plain,
% 24.08/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4411,plain,
% 24.08/15.86 (((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28)) <=> ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4412,plain,
% 24.08/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28))))),
% 24.08/15.86 inference(monotonicity,[status(thm)],[4411])).
% 24.08/15.86 tff(4413,plain,
% 24.08/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 24.08/15.86 inference(transitivity,[status(thm)],[4412, 4410])).
% 24.08/15.86 tff(4414,plain,
% 24.08/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))),
% 24.08/15.86 inference(quant_inst,[status(thm)],[])).
% 24.08/15.86 tff(4415,plain,
% 24.08/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4414, 4413])).
% 24.08/15.86 tff(4416,plain,
% 24.08/15.86 (v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4415, 1144, 4389])).
% 24.08/15.86 tff(4417,plain,
% 24.08/15.86 (v100(constB28) | (~v110(constB28))),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4416, 4409])).
% 24.08/15.86 tff(4418,plain,
% 24.08/15.86 (~v110(constB28)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4417, 4395])).
% 24.08/15.86 tff(4419,plain,
% 24.08/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4420,plain,
% 24.08/15.86 (((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28)) <=> ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4421,plain,
% 24.08/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27))))),
% 24.08/15.86 inference(monotonicity,[status(thm)],[4420])).
% 24.08/15.86 tff(4422,plain,
% 24.08/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 24.08/15.86 inference(transitivity,[status(thm)],[4421, 4419])).
% 24.08/15.86 tff(4423,plain,
% 24.08/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))),
% 24.08/15.86 inference(quant_inst,[status(thm)],[])).
% 24.08/15.86 tff(4424,plain,
% 24.08/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27))),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4423, 4422])).
% 24.08/15.86 tff(4425,plain,
% 24.08/15.86 (v110(constB28) | (~v108(constB27))),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4424, 1082, 4389])).
% 24.08/15.86 tff(4426,plain,
% 24.08/15.86 (~v108(constB27)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4425, 4418])).
% 24.08/15.86 tff(4427,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB27) | (~v112(constB27)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v112(constB27)))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4428,plain,
% 24.08/15.86 (((~v112(constB27)) | v108(constB27)) <=> (v108(constB27) | (~v112(constB27)))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4429,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB27)) | v108(constB27))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB27) | (~v112(constB27))))),
% 24.08/15.86 inference(monotonicity,[status(thm)],[4428])).
% 24.08/15.86 tff(4430,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB27)) | v108(constB27))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v112(constB27)))),
% 24.08/15.86 inference(transitivity,[status(thm)],[4429, 4427])).
% 24.08/15.86 tff(4431,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB27)) | v108(constB27))),
% 24.08/15.86 inference(quant_inst,[status(thm)],[])).
% 24.08/15.86 tff(4432,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v112(constB27))),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4431, 4430])).
% 24.08/15.86 tff(4433,plain,
% 24.08/15.86 (~v112(constB27)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4432, 1062, 4426])).
% 24.08/15.86 tff(4434,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | (~v113(constB27)) | v112(constB27))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4435,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))),
% 24.08/15.86 inference(quant_inst,[status(thm)],[])).
% 24.08/15.86 tff(4436,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | (~v113(constB27)) | v112(constB27)),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4435, 4434])).
% 24.08/15.86 tff(4437,plain,
% 24.08/15.86 ((~v113(constB27)) | v112(constB27)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4436, 1050, 4378])).
% 24.08/15.86 tff(4438,plain,
% 24.08/15.86 (~v113(constB27)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4437, 4433])).
% 24.08/15.86 tff(4439,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB27)) | v113(constB27))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB27)) | v113(constB27))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4440,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB27)) | v113(constB27))),
% 24.08/15.86 inference(quant_inst,[status(thm)],[])).
% 24.08/15.86 tff(4441,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB27)) | v113(constB27)),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4440, 4439])).
% 24.08/15.86 tff(4442,plain,
% 24.08/15.86 (~v114(constB27)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4441, 1036, 4438])).
% 24.08/15.86 tff(4443,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB27) | (~v115(constB27)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB27) | (~v115(constB27)))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4444,plain,
% 24.08/15.86 (((~v115(constB27)) | v114(constB27)) <=> (v114(constB27) | (~v115(constB27)))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4445,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB27)) | v114(constB27))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB27) | (~v115(constB27))))),
% 24.08/15.86 inference(monotonicity,[status(thm)],[4444])).
% 24.08/15.86 tff(4446,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB27)) | v114(constB27))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB27) | (~v115(constB27)))),
% 24.08/15.86 inference(transitivity,[status(thm)],[4445, 4443])).
% 24.08/15.86 tff(4447,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB27)) | v114(constB27))),
% 24.08/15.86 inference(quant_inst,[status(thm)],[])).
% 24.08/15.86 tff(4448,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB27) | (~v115(constB27))),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4447, 4446])).
% 24.08/15.86 tff(4449,plain,
% 24.08/15.86 (~v115(constB27)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4448, 1022, 4442])).
% 24.08/15.86 tff(4450,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB27) | (~v116(constB27)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB27) | (~v116(constB27)))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4451,plain,
% 24.08/15.86 (((~v116(constB27)) | v115(constB27)) <=> (v115(constB27) | (~v116(constB27)))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4452,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB27)) | v115(constB27))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB27) | (~v116(constB27))))),
% 24.08/15.86 inference(monotonicity,[status(thm)],[4451])).
% 24.08/15.86 tff(4453,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB27)) | v115(constB27))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB27) | (~v116(constB27)))),
% 24.08/15.86 inference(transitivity,[status(thm)],[4452, 4450])).
% 24.08/15.86 tff(4454,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB27)) | v115(constB27))),
% 24.08/15.86 inference(quant_inst,[status(thm)],[])).
% 24.08/15.86 tff(4455,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB27) | (~v116(constB27))),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4454, 4453])).
% 24.08/15.86 tff(4456,plain,
% 24.08/15.86 (~v116(constB27)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4455, 1008, 4449])).
% 24.08/15.86 tff(4457,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB27)) | v116(constB27))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB27)) | v116(constB27))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4458,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB27)) | v116(constB27))),
% 24.08/15.86 inference(quant_inst,[status(thm)],[])).
% 24.08/15.86 tff(4459,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB27)) | v116(constB27)),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4458, 4457])).
% 24.08/15.86 tff(4460,plain,
% 24.08/15.86 (~v122(constB27)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4459, 2652, 4456])).
% 24.08/15.86 tff(4461,assumption,(~v90(constB28, bitIndex1)), introduced(assumption)).
% 24.08/15.86 tff(4462,plain,
% 24.08/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB27, bitIndex1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB27, bitIndex1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex1))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4463,plain,
% 24.08/15.86 (((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex1)) | v100(constB28) | v90(constB28, bitIndex1)) <=> ((~v90(constB27, bitIndex1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex1))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4464,plain,
% 24.08/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex1)) | v100(constB28) | v90(constB28, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB27, bitIndex1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex1)))),
% 24.08/15.86 inference(monotonicity,[status(thm)],[4463])).
% 24.08/15.86 tff(4465,plain,
% 24.08/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex1)) | v100(constB28) | v90(constB28, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB27, bitIndex1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex1))),
% 24.08/15.86 inference(transitivity,[status(thm)],[4464, 4462])).
% 24.08/15.86 tff(4466,plain,
% 24.08/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex1)) | v100(constB28) | v90(constB28, bitIndex1))),
% 24.08/15.86 inference(quant_inst,[status(thm)],[])).
% 24.08/15.86 tff(4467,plain,
% 24.08/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB27, bitIndex1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex1)),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4466, 4465])).
% 24.08/15.86 tff(4468,plain,
% 24.08/15.86 ((~v90(constB27, bitIndex1)) | v100(constB28) | v90(constB28, bitIndex1)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4467, 1601, 4389])).
% 24.08/15.86 tff(4469,plain,
% 24.08/15.86 (~v90(constB27, bitIndex1)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4468, 4461, 4395])).
% 24.08/15.86 tff(4470,assumption,(~v90(constB28, bitIndex0)), introduced(assumption)).
% 24.08/15.86 tff(4471,assumption,(~v90(constB28, bitIndex2)), introduced(assumption)).
% 24.08/15.86 tff(4472,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB27) | (~v26(constB27)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v26(constB27)))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4473,plain,
% 24.08/15.86 (((~v26(constB27)) | v108(constB27)) <=> (v108(constB27) | (~v26(constB27)))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4474,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB27)) | v108(constB27))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB27) | (~v26(constB27))))),
% 24.08/15.86 inference(monotonicity,[status(thm)],[4473])).
% 24.08/15.86 tff(4475,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB27)) | v108(constB27))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v26(constB27)))),
% 24.08/15.86 inference(transitivity,[status(thm)],[4474, 4472])).
% 24.08/15.86 tff(4476,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB27)) | v108(constB27))),
% 24.08/15.86 inference(quant_inst,[status(thm)],[])).
% 24.08/15.86 tff(4477,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v26(constB27))),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4476, 4475])).
% 24.08/15.86 tff(4478,plain,
% 24.08/15.86 (~v26(constB27)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4477, 2441, 4426])).
% 24.08/15.86 tff(4479,plain,
% 24.08/15.86 (~v113(constB27)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4436, 1050, 4478, 4433])).
% 24.08/15.86 tff(4480,plain,
% 24.08/15.86 (~v114(constB27)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4441, 1036, 4479])).
% 24.08/15.86 tff(4481,plain,
% 24.08/15.86 (~v115(constB27)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4448, 1022, 4480])).
% 24.08/15.86 tff(4482,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB27) | (~v123(constB27)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB27) | (~v123(constB27)))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4483,plain,
% 24.08/15.86 (((~v123(constB27)) | v115(constB27)) <=> (v115(constB27) | (~v123(constB27)))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4484,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB27)) | v115(constB27))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB27) | (~v123(constB27))))),
% 24.08/15.86 inference(monotonicity,[status(thm)],[4483])).
% 24.08/15.86 tff(4485,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB27)) | v115(constB27))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB27) | (~v123(constB27)))),
% 24.08/15.86 inference(transitivity,[status(thm)],[4484, 4482])).
% 24.08/15.86 tff(4486,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB27)) | v115(constB27))),
% 24.08/15.86 inference(quant_inst,[status(thm)],[])).
% 24.08/15.86 tff(4487,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB27) | (~v123(constB27))),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4486, 4485])).
% 24.08/15.86 tff(4488,plain,
% 24.08/15.86 (~v123(constB27)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4487, 1412, 4481])).
% 24.08/15.86 tff(4489,plain,
% 24.08/15.86 (~v90(constB27, bitIndex1)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4468, 4395, 4461])).
% 24.08/15.86 tff(4490,plain,
% 24.08/15.86 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v90(VarCurr, bitIndex1)) <=> ((~v121(VarCurr)) | v90(VarCurr, bitIndex1)))),
% 24.08/15.86 inference(bind,[status(th)],[])).
% 24.08/15.86 tff(4491,plain,
% 24.08/15.86 (![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))),
% 24.08/15.86 inference(quant_intro,[status(thm)],[4490])).
% 24.08/15.86 tff(4492,plain,
% 24.08/15.86 (![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4493,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_2')).
% 24.08/15.86 tff(4494,plain,
% 24.08/15.86 (![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4493, 4492])).
% 24.08/15.86 tff(4495,plain,(
% 24.08/15.86 ![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))),
% 24.08/15.86 inference(skolemize,[status(sab)],[4494])).
% 24.08/15.86 tff(4496,plain,
% 24.08/15.86 (![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4495, 4491])).
% 24.08/15.86 tff(4497,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v121(constB27)) | v90(constB27, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v121(constB27)) | v90(constB27, bitIndex1))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4498,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v121(constB27)) | v90(constB27, bitIndex1))),
% 24.08/15.86 inference(quant_inst,[status(thm)],[])).
% 24.08/15.86 tff(4499,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v121(constB27)) | v90(constB27, bitIndex1)),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4498, 4497])).
% 24.08/15.86 tff(4500,plain,
% 24.08/15.86 (~v121(constB27)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4499, 4496, 4489])).
% 24.08/15.86 tff(4501,plain,
% 24.08/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB27, bitIndex0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB27, bitIndex0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex0))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4502,plain,
% 24.08/15.86 (((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex0)) | v100(constB28) | v90(constB28, bitIndex0)) <=> ((~v90(constB27, bitIndex0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex0))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4503,plain,
% 24.08/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex0)) | v100(constB28) | v90(constB28, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB27, bitIndex0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex0)))),
% 24.08/15.86 inference(monotonicity,[status(thm)],[4502])).
% 24.08/15.86 tff(4504,plain,
% 24.08/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex0)) | v100(constB28) | v90(constB28, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB27, bitIndex0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex0))),
% 24.08/15.86 inference(transitivity,[status(thm)],[4503, 4501])).
% 24.08/15.86 tff(4505,plain,
% 24.08/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex0)) | v100(constB28) | v90(constB28, bitIndex0))),
% 24.08/15.86 inference(quant_inst,[status(thm)],[])).
% 24.08/15.86 tff(4506,plain,
% 24.08/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB27, bitIndex0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex0)),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4505, 4504])).
% 24.08/15.86 tff(4507,plain,
% 24.08/15.86 ((~v90(constB27, bitIndex0)) | v100(constB28) | v90(constB28, bitIndex0)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4506, 1993, 4389])).
% 24.08/15.86 tff(4508,plain,
% 24.08/15.86 (~v90(constB27, bitIndex0)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4507, 4395, 4470])).
% 24.08/15.86 tff(4509,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB27)) | v90(constB27, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB27)) | v90(constB27, bitIndex0))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4510,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB27)) | v90(constB27, bitIndex0))),
% 24.08/15.86 inference(quant_inst,[status(thm)],[])).
% 24.08/15.86 tff(4511,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB27)) | v90(constB27, bitIndex0)),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4510, 4509])).
% 24.08/15.86 tff(4512,plain,
% 24.08/15.86 (~v120(constB27)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4511, 3185, 4508])).
% 24.08/15.86 tff(4513,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB27)) | v90(constB27, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB27)) | v90(constB27, bitIndex0))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4514,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB27)) | v90(constB27, bitIndex0))),
% 24.08/15.86 inference(quant_inst,[status(thm)],[])).
% 24.08/15.86 tff(4515,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB27)) | v90(constB27, bitIndex0)),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4514, 4513])).
% 24.08/15.86 tff(4516,plain,
% 24.08/15.86 (~v122(constB27)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4515, 3163, 4508])).
% 24.08/15.86 tff(4517,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB27)) | v90(constB27, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB27)) | v90(constB27, bitIndex0))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4518,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB27)) | v90(constB27, bitIndex0))),
% 24.08/15.86 inference(quant_inst,[status(thm)],[])).
% 24.08/15.86 tff(4519,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB27)) | v90(constB27, bitIndex0)),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4518, 4517])).
% 24.08/15.86 tff(4520,plain,
% 24.08/15.86 (~v124(constB27)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4519, 3174, 4508])).
% 24.08/15.86 tff(4521,assumption,(~v127(constB27, bitIndex0)), introduced(assumption)).
% 24.08/15.86 tff(4522,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB27) | (~v130(constB27, bitIndex0)) | v127(constB27, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB27) | (~v130(constB27, bitIndex0)) | v127(constB27, bitIndex0))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4523,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB27) | (~v130(constB27, bitIndex0)) | v127(constB27, bitIndex0))),
% 24.08/15.86 inference(quant_inst,[status(thm)],[])).
% 24.08/15.86 tff(4524,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB27) | (~v130(constB27, bitIndex0)) | v127(constB27, bitIndex0)),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4523, 4522])).
% 24.08/15.86 tff(4525,plain,
% 24.08/15.86 (v26(constB27) | (~v130(constB27, bitIndex0))),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4524, 1945, 4521])).
% 24.08/15.86 tff(4526,plain,
% 24.08/15.86 (~v130(constB27, bitIndex0)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4525, 4478])).
% 24.08/15.86 tff(4527,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | v130(constB27, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | v130(constB27, bitIndex0))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4528,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | v130(constB27, bitIndex0))),
% 24.08/15.86 inference(quant_inst,[status(thm)],[])).
% 24.08/15.86 tff(4529,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | v130(constB27, bitIndex0)),
% 24.08/15.86 inference(modus_ponens,[status(thm)],[4528, 4527])).
% 24.08/15.86 tff(4530,plain,
% 24.08/15.86 (v119(constB27) | v123(constB27)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4529, 1931, 4526, 4520, 4516, 4512, 4500])).
% 24.08/15.86 tff(4531,plain,
% 24.08/15.86 (v119(constB27)),
% 24.08/15.86 inference(unit_resolution,[status(thm)],[4530, 4488])).
% 24.08/15.86 tff(4532,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB27) | (~v119(constB27)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB27) | (~v119(constB27)))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4533,plain,
% 24.08/15.86 (((~v119(constB27)) | v118(constB27)) <=> (v118(constB27) | (~v119(constB27)))),
% 24.08/15.86 inference(rewrite,[status(thm)],[])).
% 24.08/15.86 tff(4534,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB27)) | v118(constB27))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB27) | (~v119(constB27))))),
% 24.08/15.86 inference(monotonicity,[status(thm)],[4533])).
% 24.08/15.86 tff(4535,plain,
% 24.08/15.86 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB27)) | v118(constB27))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB27) | (~v119(constB27)))),
% 24.08/15.86 inference(transitivity,[status(thm)],[4534, 4532])).
% 24.08/15.86 tff(4536,plain,
% 24.08/15.86 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB27)) | v118(constB27))),
% 24.08/15.87 inference(quant_inst,[status(thm)],[])).
% 24.08/15.87 tff(4537,plain,
% 24.08/15.87 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB27) | (~v119(constB27))),
% 24.08/15.87 inference(modus_ponens,[status(thm)],[4536, 4535])).
% 24.08/15.87 tff(4538,plain,
% 24.08/15.87 (v118(constB27)),
% 24.08/15.87 inference(unit_resolution,[status(thm)],[4537, 969, 4531])).
% 24.08/15.87 tff(4539,plain,
% 24.08/15.87 (~v116(constB27)),
% 24.08/15.87 inference(unit_resolution,[status(thm)],[4455, 1008, 4481])).
% 24.08/15.87 tff(4540,plain,
% 24.08/15.87 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB27) | (~v117(constB27)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB27) | (~v117(constB27)))),
% 24.08/15.87 inference(rewrite,[status(thm)],[])).
% 24.08/15.87 tff(4541,plain,
% 24.08/15.87 (((~v117(constB27)) | v116(constB27)) <=> (v116(constB27) | (~v117(constB27)))),
% 24.08/15.87 inference(rewrite,[status(thm)],[])).
% 24.08/15.87 tff(4542,plain,
% 24.08/15.87 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB27)) | v116(constB27))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB27) | (~v117(constB27))))),
% 24.08/15.87 inference(monotonicity,[status(thm)],[4541])).
% 24.08/15.87 tff(4543,plain,
% 24.08/15.87 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB27)) | v116(constB27))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB27) | (~v117(constB27)))),
% 24.08/15.87 inference(transitivity,[status(thm)],[4542, 4540])).
% 24.08/15.87 tff(4544,plain,
% 24.08/15.87 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB27)) | v116(constB27))),
% 24.08/15.87 inference(quant_inst,[status(thm)],[])).
% 24.08/15.87 tff(4545,plain,
% 24.08/15.87 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB27) | (~v117(constB27))),
% 24.08/15.87 inference(modus_ponens,[status(thm)],[4544, 4543])).
% 24.08/15.87 tff(4546,plain,
% 24.08/15.87 (~v117(constB27)),
% 24.08/15.87 inference(unit_resolution,[status(thm)],[4545, 994, 4539])).
% 24.08/15.87 tff(4547,plain,
% 24.08/15.87 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB27)) | v117(constB27))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB27)) | v117(constB27))),
% 24.08/15.87 inference(rewrite,[status(thm)],[])).
% 24.08/15.87 tff(4548,plain,
% 24.08/15.87 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB27)) | v117(constB27))),
% 24.08/15.87 inference(quant_inst,[status(thm)],[])).
% 24.08/15.87 tff(4549,plain,
% 24.08/15.87 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB27)) | v117(constB27)),
% 24.08/15.87 inference(modus_ponens,[status(thm)],[4548, 4547])).
% 24.08/15.87 tff(4550,plain,
% 24.08/15.87 ($false),
% 24.08/15.87 inference(unit_resolution,[status(thm)],[4549, 980, 4546, 4538])).
% 24.08/15.87 tff(4551,plain,(v100(constB28) | v127(constB27, bitIndex0) | v90(constB28, bitIndex1) | v90(constB28, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 24.08/15.87 tff(4552,plain,
% 24.08/15.87 (v127(constB27, bitIndex0)),
% 24.08/15.87 inference(unit_resolution,[status(thm)],[4551, 4395, 4461, 4470])).
% 24.08/15.87 tff(4553,assumption,(v127(constB27, bitIndex0)), introduced(assumption)).
% 24.08/15.87 tff(4554,assumption,(~v130(constB27, bitIndex0)), introduced(assumption)).
% 24.08/15.87 tff(4555,plain,
% 24.08/15.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))),
% 24.08/15.87 inference(rewrite,[status(thm)],[])).
% 24.08/15.87 tff(4556,plain,
% 24.08/15.87 ((v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0))) <=> ((~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))),
% 24.08/15.87 inference(rewrite,[status(thm)],[])).
% 24.08/15.87 tff(4557,plain,
% 24.08/15.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0)))),
% 24.08/15.87 inference(monotonicity,[status(thm)],[4556])).
% 24.08/15.87 tff(4558,plain,
% 24.08/15.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))),
% 24.08/15.87 inference(transitivity,[status(thm)],[4557, 4555])).
% 24.08/15.87 tff(4559,plain,
% 24.08/15.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0)))),
% 24.08/15.87 inference(quant_inst,[status(thm)],[])).
% 24.08/15.87 tff(4560,plain,
% 24.08/15.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0)),
% 24.08/15.87 inference(modus_ponens,[status(thm)],[4559, 4558])).
% 24.08/15.87 tff(4561,plain,
% 24.08/15.87 ((~v127(constB27, bitIndex0)) | v26(constB27)),
% 24.08/15.87 inference(unit_resolution,[status(thm)],[4560, 1341, 4554])).
% 24.08/15.87 tff(4562,plain,
% 24.08/15.87 (v26(constB27)),
% 24.08/15.87 inference(unit_resolution,[status(thm)],[4561, 4553])).
% 24.08/15.87 tff(4563,plain,
% 24.08/15.87 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB27)) | (~v127(constB27, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB27)) | (~v127(constB27, bitIndex0)))),
% 24.08/15.87 inference(rewrite,[status(thm)],[])).
% 24.08/15.87 tff(4564,plain,
% 24.08/15.87 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB27)) | (~v127(constB27, bitIndex0)))),
% 24.08/15.87 inference(quant_inst,[status(thm)],[])).
% 24.08/15.87 tff(4565,plain,
% 24.08/15.87 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB27)) | (~v127(constB27, bitIndex0))),
% 24.08/15.87 inference(modus_ponens,[status(thm)],[4564, 4563])).
% 24.08/15.87 tff(4566,plain,
% 24.08/15.87 ($false),
% 24.08/15.87 inference(unit_resolution,[status(thm)],[4565, 2189, 4553, 4562])).
% 24.08/15.87 tff(4567,plain,((~v127(constB27, bitIndex0)) | v130(constB27, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 24.08/15.87 tff(4568,plain,
% 24.08/15.87 (v130(constB27, bitIndex0)),
% 24.08/15.87 inference(unit_resolution,[status(thm)],[4567, 4552])).
% 24.08/15.87 tff(4569,plain,
% 24.08/15.87 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB27)) | (~v130(constB27, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB27)) | (~v130(constB27, bitIndex0)))),
% 24.08/15.87 inference(rewrite,[status(thm)],[])).
% 24.08/15.87 tff(4570,plain,
% 24.08/15.87 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB27)) | (~v130(constB27, bitIndex0)))),
% 24.08/15.87 inference(quant_inst,[status(thm)],[])).
% 24.08/15.87 tff(4571,plain,
% 24.08/15.87 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB27)) | (~v130(constB27, bitIndex0))),
% 24.08/15.87 inference(modus_ponens,[status(thm)],[4570, 4569])).
% 24.08/15.87 tff(4572,plain,
% 24.08/15.87 (~v119(constB27)),
% 24.08/15.87 inference(unit_resolution,[status(thm)],[4571, 1327, 4568])).
% 24.08/15.87 tff(4573,plain,
% 24.08/15.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB27, bitIndex2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB27, bitIndex2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex2))),
% 24.08/15.87 inference(rewrite,[status(thm)],[])).
% 24.08/15.87 tff(4574,plain,
% 24.08/15.87 (((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex2)) | v100(constB28) | v90(constB28, bitIndex2)) <=> ((~v90(constB27, bitIndex2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex2))),
% 24.08/15.87 inference(rewrite,[status(thm)],[])).
% 24.08/15.87 tff(4575,plain,
% 24.08/15.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex2)) | v100(constB28) | v90(constB28, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB27, bitIndex2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex2)))),
% 24.08/15.87 inference(monotonicity,[status(thm)],[4574])).
% 24.08/15.87 tff(4576,plain,
% 24.08/15.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex2)) | v100(constB28) | v90(constB28, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB27, bitIndex2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex2))),
% 24.08/15.87 inference(transitivity,[status(thm)],[4575, 4573])).
% 24.08/15.87 tff(4577,plain,
% 24.08/15.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex2)) | v100(constB28) | v90(constB28, bitIndex2))),
% 24.08/15.87 inference(quant_inst,[status(thm)],[])).
% 24.08/15.87 tff(4578,plain,
% 24.08/15.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB27, bitIndex2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex2)),
% 24.08/15.87 inference(modus_ponens,[status(thm)],[4577, 4576])).
% 24.08/15.87 tff(4579,plain,
% 24.08/15.87 ((~v90(constB27, bitIndex2)) | v100(constB28) | v90(constB28, bitIndex2)),
% 24.08/15.87 inference(unit_resolution,[status(thm)],[4578, 1240, 4389])).
% 24.08/15.87 tff(4580,plain,
% 24.08/15.87 (~v90(constB27, bitIndex2)),
% 24.08/15.87 inference(unit_resolution,[status(thm)],[4579, 4395, 4471])).
% 24.08/15.87 tff(4581,plain,
% 24.08/15.87 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v119(constB27))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v119(constB27))),
% 24.08/15.87 inference(rewrite,[status(thm)],[])).
% 24.08/15.87 tff(4582,plain,
% 24.08/15.87 ((v90(constB27, bitIndex0) | v119(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2)) <=> (v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v119(constB27))),
% 24.08/15.87 inference(rewrite,[status(thm)],[])).
% 24.08/15.87 tff(4583,plain,
% 24.08/15.87 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB27, bitIndex0) | v119(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v119(constB27)))),
% 24.08/15.87 inference(monotonicity,[status(thm)],[4582])).
% 24.08/15.87 tff(4584,plain,
% 24.08/15.87 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB27, bitIndex0) | v119(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v119(constB27))),
% 24.08/15.87 inference(transitivity,[status(thm)],[4583, 4581])).
% 24.08/15.87 tff(4585,plain,
% 24.08/15.87 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB27, bitIndex0) | v119(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))),
% 24.16/15.87 inference(quant_inst,[status(thm)],[])).
% 24.16/15.87 tff(4586,plain,
% 24.16/15.87 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v119(constB27)),
% 24.16/15.87 inference(modus_ponens,[status(thm)],[4585, 4584])).
% 24.16/15.87 tff(4587,plain,
% 24.16/15.87 ($false),
% 24.16/15.87 inference(unit_resolution,[status(thm)],[4586, 955, 4508, 4489, 4580, 4572])).
% 24.16/15.87 tff(4588,plain,(v100(constB28) | v90(constB28, bitIndex2) | v90(constB28, bitIndex0) | v90(constB28, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 24.16/15.87 tff(4589,plain,
% 24.16/15.87 (v100(constB28)),
% 24.16/15.87 inference(unit_resolution,[status(thm)],[4588, 4471, 4470, 4461])).
% 24.16/15.87 tff(4590,plain,
% 24.16/15.87 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~v129(constB28, bitIndex2)) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~v129(constB28, bitIndex2)) | (~v100(constB28)))),
% 24.16/15.87 inference(rewrite,[status(thm)],[])).
% 24.16/15.87 tff(4591,plain,
% 24.16/15.87 ((v90(constB28, bitIndex2) | (~v100(constB28)) | (~v129(constB28, bitIndex2))) <=> (v90(constB28, bitIndex2) | (~v129(constB28, bitIndex2)) | (~v100(constB28)))),
% 24.16/15.87 inference(rewrite,[status(thm)],[])).
% 24.16/15.87 tff(4592,plain,
% 24.16/15.87 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~v100(constB28)) | (~v129(constB28, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~v129(constB28, bitIndex2)) | (~v100(constB28))))),
% 24.16/15.87 inference(monotonicity,[status(thm)],[4591])).
% 24.16/15.87 tff(4593,plain,
% 24.16/15.87 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~v100(constB28)) | (~v129(constB28, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~v129(constB28, bitIndex2)) | (~v100(constB28)))),
% 24.16/15.87 inference(transitivity,[status(thm)],[4592, 4590])).
% 24.16/15.87 tff(4594,plain,
% 24.16/15.87 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~v100(constB28)) | (~v129(constB28, bitIndex2)))),
% 24.16/15.87 inference(quant_inst,[status(thm)],[])).
% 24.16/15.87 tff(4595,plain,
% 24.16/15.87 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~v129(constB28, bitIndex2)) | (~v100(constB28))),
% 24.16/15.87 inference(modus_ponens,[status(thm)],[4594, 4593])).
% 24.16/15.87 tff(4596,plain,
% 24.16/15.87 ((~v129(constB28, bitIndex2)) | (~v100(constB28))),
% 24.16/15.87 inference(unit_resolution,[status(thm)],[4595, 1204, 4471])).
% 24.16/15.87 tff(4597,plain,
% 24.16/15.87 (~v129(constB28, bitIndex2)),
% 24.16/15.87 inference(unit_resolution,[status(thm)],[4596, 4589])).
% 24.16/15.87 tff(4598,plain,
% 24.16/15.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex2)) | v129(constB28, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex2)) | v129(constB28, bitIndex2))),
% 24.16/15.87 inference(rewrite,[status(thm)],[])).
% 24.16/15.87 tff(4599,plain,
% 24.16/15.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex2)) | v129(constB28, bitIndex2))),
% 24.16/15.87 inference(quant_inst,[status(thm)],[])).
% 24.16/15.87 tff(4600,plain,
% 24.16/15.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex2)) | v129(constB28, bitIndex2)),
% 24.16/15.87 inference(modus_ponens,[status(thm)],[4599, 4598])).
% 24.16/15.87 tff(4601,plain,
% 24.16/15.87 ((~v127(constB27, bitIndex2)) | v129(constB28, bitIndex2)),
% 24.16/15.87 inference(unit_resolution,[status(thm)],[4600, 1189, 4389])).
% 24.16/15.87 tff(4602,plain,
% 24.16/15.87 (~v127(constB27, bitIndex2)),
% 24.16/15.87 inference(unit_resolution,[status(thm)],[4601, 4597])).
% 24.16/15.87 tff(4603,plain,
% 24.16/15.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB27) | (~v130(constB27, bitIndex2)) | v127(constB27, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB27) | (~v130(constB27, bitIndex2)) | v127(constB27, bitIndex2))),
% 24.16/15.87 inference(rewrite,[status(thm)],[])).
% 24.16/15.87 tff(4604,plain,
% 24.16/15.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB27) | (~v130(constB27, bitIndex2)) | v127(constB27, bitIndex2))),
% 24.16/15.87 inference(quant_inst,[status(thm)],[])).
% 24.16/15.87 tff(4605,plain,
% 24.16/15.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB27) | (~v130(constB27, bitIndex2)) | v127(constB27, bitIndex2)),
% 24.16/15.87 inference(modus_ponens,[status(thm)],[4604, 4603])).
% 24.16/15.87 tff(4606,plain,
% 24.16/15.87 ((~v130(constB27, bitIndex2)) | v127(constB27, bitIndex2)),
% 24.16/15.87 inference(unit_resolution,[status(thm)],[4605, 1174, 4378])).
% 24.16/15.87 tff(4607,plain,
% 24.16/15.87 (~v130(constB27, bitIndex2)),
% 24.16/15.87 inference(unit_resolution,[status(thm)],[4606, 4602])).
% 24.16/15.87 tff(4608,plain,
% 24.16/15.87 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB27)) | v130(constB27, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB27)) | v130(constB27, bitIndex2))),
% 24.16/15.87 inference(rewrite,[status(thm)],[])).
% 24.16/15.87 tff(4609,plain,
% 24.16/15.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB27)) | v130(constB27, bitIndex2))),
% 24.16/15.87 inference(quant_inst,[status(thm)],[])).
% 24.16/15.87 tff(4610,plain,
% 24.16/15.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB27)) | v130(constB27, bitIndex2)),
% 24.16/15.87 inference(modus_ponens,[status(thm)],[4609, 4608])).
% 24.16/15.87 tff(4611,plain,
% 24.16/15.87 (~v122(constB27)),
% 24.16/15.87 inference(unit_resolution,[status(thm)],[4610, 2736, 4607])).
% 24.16/15.87 tff(4612,plain,
% 24.16/15.87 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB27)) | v130(constB27, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB27)) | v130(constB27, bitIndex2))),
% 24.16/15.87 inference(rewrite,[status(thm)],[])).
% 24.16/15.87 tff(4613,plain,
% 24.16/15.87 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB27)) | v130(constB27, bitIndex2))),
% 24.16/15.87 inference(quant_inst,[status(thm)],[])).
% 24.16/15.87 tff(4614,plain,
% 24.16/15.87 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB27)) | v130(constB27, bitIndex2)),
% 24.16/15.87 inference(modus_ponens,[status(thm)],[4613, 4612])).
% 24.16/15.87 tff(4615,plain,
% 24.16/15.87 (~v119(constB27)),
% 24.16/15.87 inference(unit_resolution,[status(thm)],[4614, 1160, 4607])).
% 24.16/15.87 tff(4616,plain,
% 24.16/15.87 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))),
% 24.16/15.87 inference(rewrite,[status(thm)],[])).
% 24.16/15.87 tff(4617,plain,
% 24.16/15.87 ((v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1))) <=> (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))),
% 24.16/15.87 inference(rewrite,[status(thm)],[])).
% 24.16/15.87 tff(4618,plain,
% 24.16/15.87 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28))))),
% 24.16/15.87 inference(monotonicity,[status(thm)],[4617])).
% 24.16/15.87 tff(4619,plain,
% 24.16/15.87 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))),
% 24.16/15.87 inference(transitivity,[status(thm)],[4618, 4616])).
% 24.16/15.87 tff(4620,plain,
% 24.16/15.87 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1)))),
% 24.16/15.87 inference(quant_inst,[status(thm)],[])).
% 24.16/15.87 tff(4621,plain,
% 24.16/15.87 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28))),
% 24.16/15.87 inference(modus_ponens,[status(thm)],[4620, 4619])).
% 24.16/15.87 tff(4622,plain,
% 24.16/15.87 ((~v129(constB28, bitIndex1)) | (~v100(constB28))),
% 24.16/15.87 inference(unit_resolution,[status(thm)],[4621, 1583, 4461])).
% 24.16/15.87 tff(4623,plain,
% 24.16/15.87 (~v129(constB28, bitIndex1)),
% 24.16/15.87 inference(unit_resolution,[status(thm)],[4622, 4589])).
% 24.16/15.87 tff(4624,plain,
% 24.16/15.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1))),
% 24.16/15.87 inference(rewrite,[status(thm)],[])).
% 24.16/15.87 tff(4625,plain,
% 24.16/15.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1))),
% 24.16/15.87 inference(quant_inst,[status(thm)],[])).
% 24.16/15.87 tff(4626,plain,
% 24.16/15.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1)),
% 24.16/15.87 inference(modus_ponens,[status(thm)],[4625, 4624])).
% 24.16/15.87 tff(4627,plain,
% 24.16/15.87 ((~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1)),
% 24.16/15.87 inference(unit_resolution,[status(thm)],[4626, 1568, 4389])).
% 24.16/15.87 tff(4628,plain,
% 24.16/15.87 (~v127(constB27, bitIndex1)),
% 24.16/15.87 inference(unit_resolution,[status(thm)],[4627, 4623])).
% 24.16/15.87 tff(4629,plain,
% 24.16/15.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1))),
% 24.16/15.87 inference(rewrite,[status(thm)],[])).
% 24.16/15.87 tff(4630,plain,
% 24.16/15.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1))),
% 24.16/15.87 inference(quant_inst,[status(thm)],[])).
% 24.16/15.87 tff(4631,plain,
% 24.16/15.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1)),
% 24.16/15.87 inference(modus_ponens,[status(thm)],[4630, 4629])).
% 24.16/15.87 tff(4632,plain,
% 24.16/15.87 ((~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1)),
% 24.16/15.87 inference(unit_resolution,[status(thm)],[4631, 1553, 4378])).
% 24.16/15.87 tff(4633,plain,
% 24.16/15.87 (~v130(constB27, bitIndex1)),
% 24.16/15.87 inference(unit_resolution,[status(thm)],[4632, 4628])).
% 24.16/15.87 tff(4634,plain,
% 24.16/15.87 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB27)) | v130(constB27, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB27)) | v130(constB27, bitIndex1))),
% 24.16/15.87 inference(rewrite,[status(thm)],[])).
% 24.16/15.87 tff(4635,plain,
% 24.16/15.87 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB27)) | v130(constB27, bitIndex1))),
% 24.16/15.87 inference(quant_inst,[status(thm)],[])).
% 24.16/15.87 tff(4636,plain,
% 24.16/15.87 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB27)) | v130(constB27, bitIndex1)),
% 24.16/15.87 inference(modus_ponens,[status(thm)],[4635, 4634])).
% 24.16/15.87 tff(4637,plain,
% 24.16/15.87 (~v120(constB27)),
% 24.16/15.87 inference(unit_resolution,[status(thm)],[4636, 2034, 4633])).
% 24.16/15.87 tff(4638,plain,
% 24.16/15.87 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB27)) | v130(constB27, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB27)) | v130(constB27, bitIndex1))),
% 24.16/15.87 inference(rewrite,[status(thm)],[])).
% 24.16/15.87 tff(4639,plain,
% 24.16/15.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB27)) | v130(constB27, bitIndex1))),
% 24.16/15.87 inference(quant_inst,[status(thm)],[])).
% 24.16/15.87 tff(4640,plain,
% 24.16/15.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB27)) | v130(constB27, bitIndex1)),
% 24.16/15.87 inference(modus_ponens,[status(thm)],[4639, 4638])).
% 24.16/15.87 tff(4641,plain,
% 24.16/15.87 (~v121(constB27)),
% 24.16/15.87 inference(unit_resolution,[status(thm)],[4640, 2562, 4633])).
% 24.16/15.87 tff(4642,plain,
% 24.16/15.87 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB27)) | v130(constB27, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB27)) | v130(constB27, bitIndex1))),
% 24.16/15.87 inference(rewrite,[status(thm)],[])).
% 24.16/15.87 tff(4643,plain,
% 24.16/15.87 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB27)) | v130(constB27, bitIndex1))),
% 24.16/15.87 inference(quant_inst,[status(thm)],[])).
% 24.16/15.87 tff(4644,plain,
% 24.16/15.87 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB27)) | v130(constB27, bitIndex1)),
% 24.16/15.87 inference(modus_ponens,[status(thm)],[4643, 4642])).
% 24.16/15.87 tff(4645,plain,
% 24.16/15.87 (~v123(constB27)),
% 24.16/15.87 inference(unit_resolution,[status(thm)],[4644, 1539, 4633])).
% 24.16/15.87 tff(4646,plain,
% 24.16/15.87 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 24.16/15.87 inference(bind,[status(th)],[])).
% 24.16/15.87 tff(4647,plain,
% 24.16/15.87 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 24.16/15.87 inference(quant_intro,[status(thm)],[4646])).
% 24.16/15.87 tff(4648,plain,
% 24.16/15.87 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 24.16/15.87 inference(rewrite,[status(thm)],[])).
% 24.16/15.87 tff(4649,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_2')).
% 24.16/15.87 tff(4650,plain,
% 24.16/15.87 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 24.16/15.87 inference(modus_ponens,[status(thm)],[4649, 4648])).
% 24.16/15.87 tff(4651,plain,(
% 24.16/15.87 ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 24.16/15.87 inference(skolemize,[status(sab)],[4650])).
% 24.16/15.87 tff(4652,plain,
% 24.16/15.87 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 24.16/15.87 inference(modus_ponens,[status(thm)],[4651, 4647])).
% 24.16/15.87 tff(4653,plain,
% 24.16/15.87 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB27)) | v130(constB27, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB27)) | v130(constB27, bitIndex1))),
% 24.16/15.87 inference(rewrite,[status(thm)],[])).
% 24.16/15.87 tff(4654,plain,
% 24.16/15.87 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB27)) | v130(constB27, bitIndex1))),
% 24.16/15.87 inference(quant_inst,[status(thm)],[])).
% 24.16/15.87 tff(4655,plain,
% 24.16/15.87 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB27)) | v130(constB27, bitIndex1)),
% 24.16/15.87 inference(modus_ponens,[status(thm)],[4654, 4653])).
% 24.16/15.87 tff(4656,plain,
% 24.16/15.87 (~v124(constB27)),
% 24.16/15.87 inference(unit_resolution,[status(thm)],[4655, 4652, 4633])).
% 24.16/15.87 tff(4657,plain,
% 24.16/15.87 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~v129(constB28, bitIndex0)) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~v129(constB28, bitIndex0)) | (~v100(constB28)))),
% 24.16/15.87 inference(rewrite,[status(thm)],[])).
% 24.16/15.87 tff(4658,plain,
% 24.16/15.87 ((v90(constB28, bitIndex0) | (~v100(constB28)) | (~v129(constB28, bitIndex0))) <=> (v90(constB28, bitIndex0) | (~v129(constB28, bitIndex0)) | (~v100(constB28)))),
% 24.16/15.87 inference(rewrite,[status(thm)],[])).
% 24.16/15.87 tff(4659,plain,
% 24.16/15.87 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~v100(constB28)) | (~v129(constB28, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~v129(constB28, bitIndex0)) | (~v100(constB28))))),
% 24.16/15.87 inference(monotonicity,[status(thm)],[4658])).
% 24.16/15.87 tff(4660,plain,
% 24.16/15.87 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~v100(constB28)) | (~v129(constB28, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~v129(constB28, bitIndex0)) | (~v100(constB28)))),
% 24.16/15.87 inference(transitivity,[status(thm)],[4659, 4657])).
% 24.16/15.87 tff(4661,plain,
% 24.16/15.87 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~v100(constB28)) | (~v129(constB28, bitIndex0)))),
% 24.16/15.87 inference(quant_inst,[status(thm)],[])).
% 24.16/15.87 tff(4662,plain,
% 24.16/15.87 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~v129(constB28, bitIndex0)) | (~v100(constB28))),
% 24.16/15.87 inference(modus_ponens,[status(thm)],[4661, 4660])).
% 24.16/15.87 tff(4663,plain,
% 24.16/15.87 ((~v129(constB28, bitIndex0)) | (~v100(constB28))),
% 24.16/15.87 inference(unit_resolution,[status(thm)],[4662, 1975, 4470])).
% 24.16/15.87 tff(4664,plain,
% 24.16/15.87 (~v129(constB28, bitIndex0)),
% 24.16/15.87 inference(unit_resolution,[status(thm)],[4663, 4589])).
% 24.16/15.87 tff(4665,plain,
% 24.16/15.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex0)) | v129(constB28, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex0)) | v129(constB28, bitIndex0))),
% 24.16/15.87 inference(rewrite,[status(thm)],[])).
% 24.16/15.87 tff(4666,plain,
% 24.16/15.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex0)) | v129(constB28, bitIndex0))),
% 24.16/15.87 inference(quant_inst,[status(thm)],[])).
% 24.16/15.87 tff(4667,plain,
% 24.16/15.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex0)) | v129(constB28, bitIndex0)),
% 24.16/15.87 inference(modus_ponens,[status(thm)],[4666, 4665])).
% 24.16/15.87 tff(4668,plain,
% 24.16/15.87 ((~v127(constB27, bitIndex0)) | v129(constB28, bitIndex0)),
% 24.16/15.87 inference(unit_resolution,[status(thm)],[4667, 1960, 4389])).
% 24.16/15.87 tff(4669,plain,
% 24.16/15.87 (~v127(constB27, bitIndex0)),
% 24.16/15.87 inference(unit_resolution,[status(thm)],[4668, 4664])).
% 24.16/15.88 tff(4670,plain,
% 24.16/15.88 ((~v130(constB27, bitIndex0)) | v127(constB27, bitIndex0)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4524, 1945, 4378])).
% 24.16/15.88 tff(4671,plain,
% 24.16/15.88 (~v130(constB27, bitIndex0)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4670, 4669])).
% 24.16/15.88 tff(4672,plain,
% 24.16/15.88 (v119(constB27) | v122(constB27)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4529, 1931, 4671, 4656, 4645, 4641, 4637])).
% 24.16/15.88 tff(4673,plain,
% 24.16/15.88 ($false),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4672, 4615, 4611])).
% 24.16/15.88 tff(4674,plain,(v90(constB28, bitIndex2) | v90(constB28, bitIndex0) | v90(constB28, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 24.16/15.88 tff(4675,plain,
% 24.16/15.88 (v90(constB28, bitIndex2)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4674, 4470, 4461])).
% 24.16/15.88 tff(4676,plain,
% 24.16/15.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB27, bitIndex2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB27, bitIndex2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex2)))),
% 24.16/15.88 inference(rewrite,[status(thm)],[])).
% 24.16/15.88 tff(4677,plain,
% 24.16/15.88 (((~nextState(constB27, constB28)) | v90(constB27, bitIndex2) | v100(constB28) | (~v90(constB28, bitIndex2))) <=> (v90(constB27, bitIndex2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex2)))),
% 24.16/15.88 inference(rewrite,[status(thm)],[])).
% 24.16/15.88 tff(4678,plain,
% 24.16/15.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex2) | v100(constB28) | (~v90(constB28, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB27, bitIndex2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex2))))),
% 24.16/15.88 inference(monotonicity,[status(thm)],[4677])).
% 24.16/15.88 tff(4679,plain,
% 24.16/15.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex2) | v100(constB28) | (~v90(constB28, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB27, bitIndex2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex2)))),
% 24.16/15.88 inference(transitivity,[status(thm)],[4678, 4676])).
% 24.16/15.88 tff(4680,plain,
% 24.16/15.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex2) | v100(constB28) | (~v90(constB28, bitIndex2)))),
% 24.16/15.88 inference(quant_inst,[status(thm)],[])).
% 24.16/15.88 tff(4681,plain,
% 24.16/15.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB27, bitIndex2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex2))),
% 24.16/15.88 inference(modus_ponens,[status(thm)],[4680, 4679])).
% 24.16/15.88 tff(4682,plain,
% 24.16/15.88 (v90(constB27, bitIndex2) | v100(constB28) | (~v90(constB28, bitIndex2))),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4681, 892, 4389])).
% 24.16/15.88 tff(4683,plain,
% 24.16/15.88 (v90(constB27, bitIndex2)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4682, 4395, 4675])).
% 24.16/15.88 tff(4684,plain,
% 24.16/15.88 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex2)) | v123(constB27))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex2)) | v123(constB27))),
% 24.16/15.88 inference(rewrite,[status(thm)],[])).
% 24.16/15.88 tff(4685,plain,
% 24.16/15.88 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex2)) | v123(constB27))),
% 24.16/15.88 inference(quant_inst,[status(thm)],[])).
% 24.16/15.88 tff(4686,plain,
% 24.16/15.88 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex2)) | v123(constB27)),
% 24.16/15.88 inference(modus_ponens,[status(thm)],[4685, 4684])).
% 24.16/15.88 tff(4687,plain,
% 24.16/15.88 (v123(constB27)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4686, 1401, 4508, 4489, 4683])).
% 24.16/15.88 tff(4688,plain,
% 24.16/15.88 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB27)) | (~v130(constB27, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB27)) | (~v130(constB27, bitIndex0)))),
% 24.16/15.88 inference(rewrite,[status(thm)],[])).
% 24.16/15.88 tff(4689,plain,
% 24.16/15.88 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB27)) | (~v130(constB27, bitIndex0)))),
% 24.16/15.88 inference(quant_inst,[status(thm)],[])).
% 24.16/15.88 tff(4690,plain,
% 24.16/15.88 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB27)) | (~v130(constB27, bitIndex0))),
% 24.16/15.88 inference(modus_ponens,[status(thm)],[4689, 4688])).
% 24.16/15.88 tff(4691,plain,
% 24.16/15.88 ($false),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4690, 1617, 4568, 4687])).
% 24.16/15.88 tff(4692,plain,(v100(constB28) | v90(constB28, bitIndex0) | v90(constB28, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 24.16/15.88 tff(4693,plain,
% 24.16/15.88 (v90(constB28, bitIndex0)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4692, 4461, 4395])).
% 24.16/15.88 tff(4694,plain,
% 24.16/15.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB27, bitIndex0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB27, bitIndex0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex0)))),
% 24.16/15.88 inference(rewrite,[status(thm)],[])).
% 24.16/15.88 tff(4695,plain,
% 24.16/15.88 (((~nextState(constB27, constB28)) | v90(constB27, bitIndex0) | v100(constB28) | (~v90(constB28, bitIndex0))) <=> (v90(constB27, bitIndex0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex0)))),
% 24.16/15.88 inference(rewrite,[status(thm)],[])).
% 24.16/15.88 tff(4696,plain,
% 24.16/15.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex0) | v100(constB28) | (~v90(constB28, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB27, bitIndex0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex0))))),
% 24.16/15.88 inference(monotonicity,[status(thm)],[4695])).
% 24.16/15.88 tff(4697,plain,
% 24.16/15.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex0) | v100(constB28) | (~v90(constB28, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB27, bitIndex0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex0)))),
% 24.16/15.88 inference(transitivity,[status(thm)],[4696, 4694])).
% 24.16/15.88 tff(4698,plain,
% 24.16/15.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex0) | v100(constB28) | (~v90(constB28, bitIndex0)))),
% 24.16/15.88 inference(quant_inst,[status(thm)],[])).
% 24.16/15.88 tff(4699,plain,
% 24.16/15.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB27, bitIndex0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex0))),
% 24.16/15.88 inference(modus_ponens,[status(thm)],[4698, 4697])).
% 24.16/15.88 tff(4700,plain,
% 24.16/15.88 (v90(constB27, bitIndex0) | v100(constB28) | (~v90(constB28, bitIndex0))),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4699, 934, 4389])).
% 24.16/15.88 tff(4701,plain,
% 24.16/15.88 (v90(constB27, bitIndex0)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4700, 4693, 4395])).
% 24.16/15.88 tff(4702,assumption,(v90(constB28, bitIndex0)), introduced(assumption)).
% 24.16/15.88 tff(4703,plain,
% 24.16/15.88 (v90(constB27, bitIndex0)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4700, 4395, 4702])).
% 24.16/15.88 tff(4704,plain,
% 24.16/15.88 (v120(constB27)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4366, 2012, 4703, 4489, 4580])).
% 24.16/15.88 tff(4705,plain,
% 24.16/15.88 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB27)) | v118(constB27))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB27)) | v118(constB27))),
% 24.16/15.88 inference(rewrite,[status(thm)],[])).
% 24.16/15.88 tff(4706,plain,
% 24.16/15.88 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB27)) | v118(constB27))),
% 24.16/15.88 inference(quant_inst,[status(thm)],[])).
% 24.16/15.88 tff(4707,plain,
% 24.16/15.88 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB27)) | v118(constB27)),
% 24.16/15.88 inference(modus_ponens,[status(thm)],[4706, 4705])).
% 24.16/15.88 tff(4708,plain,
% 24.16/15.88 (v118(constB27)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4707, 2210, 4704])).
% 24.16/15.88 tff(4709,plain,
% 24.16/15.88 (v117(constB27)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4549, 980, 4708])).
% 24.16/15.88 tff(4710,plain,
% 24.16/15.88 (v116(constB27)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4545, 994, 4709])).
% 24.16/15.88 tff(4711,plain,
% 24.16/15.88 ($false),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4455, 1008, 4710, 4481])).
% 24.16/15.88 tff(4712,plain,(v100(constB28) | v90(constB28, bitIndex2) | v90(constB28, bitIndex1) | (~v90(constB28, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 24.16/15.88 tff(4713,plain,
% 24.16/15.88 (v90(constB28, bitIndex2)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4712, 4693, 4395, 4461])).
% 24.16/15.88 tff(4714,plain,
% 24.16/15.88 (v90(constB27, bitIndex2)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4682, 4713, 4395])).
% 24.16/15.88 tff(4715,plain,
% 24.16/15.88 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v114(VarCurr)) <=> ((~v124(VarCurr)) | v114(VarCurr)))),
% 24.16/15.88 inference(bind,[status(th)],[])).
% 24.16/15.88 tff(4716,plain,
% 24.16/15.88 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 24.16/15.88 inference(quant_intro,[status(thm)],[4715])).
% 24.16/15.88 tff(4717,plain,
% 24.16/15.88 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 24.16/15.88 inference(rewrite,[status(thm)],[])).
% 24.16/15.88 tff(4718,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_1')).
% 24.16/15.88 tff(4719,plain,
% 24.16/15.88 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 24.16/15.88 inference(modus_ponens,[status(thm)],[4718, 4717])).
% 24.16/15.88 tff(4720,plain,(
% 24.16/15.88 ![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 24.16/15.88 inference(skolemize,[status(sab)],[4719])).
% 24.16/15.88 tff(4721,plain,
% 24.16/15.88 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 24.16/15.88 inference(modus_ponens,[status(thm)],[4720, 4716])).
% 24.16/15.88 tff(4722,plain,
% 24.16/15.88 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB27)) | v114(constB27))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB27)) | v114(constB27))),
% 24.16/15.88 inference(rewrite,[status(thm)],[])).
% 24.16/15.88 tff(4723,plain,
% 24.16/15.88 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB27)) | v114(constB27))),
% 24.16/15.88 inference(quant_inst,[status(thm)],[])).
% 24.16/15.88 tff(4724,plain,
% 24.16/15.88 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB27)) | v114(constB27)),
% 24.16/15.88 inference(modus_ponens,[status(thm)],[4723, 4722])).
% 24.16/15.88 tff(4725,plain,
% 24.16/15.88 (~v124(constB27)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4724, 4721, 4442])).
% 24.16/15.88 tff(4726,plain,
% 24.16/15.88 (^[VarCurr: state_type] : refl(((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)))),
% 24.16/15.88 inference(bind,[status(th)],[])).
% 24.16/15.88 tff(4727,plain,
% 24.16/15.88 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 24.16/15.88 inference(quant_intro,[status(thm)],[4726])).
% 24.16/15.88 tff(4728,plain,
% 24.16/15.88 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 24.16/15.88 inference(rewrite,[status(thm)],[])).
% 24.16/15.88 tff(4729,plain,
% 24.16/15.88 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1))), (((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex2))) <=> (((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))))), rewrite((((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))), (((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex2))) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))))), ((((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex2))) | v124(VarCurr)) <=> (((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))) | v124(VarCurr)))), rewrite((((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))) | v124(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))), ((((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex2))) | v124(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))))),
% 24.16/15.88 inference(bind,[status(th)],[])).
% 24.16/15.88 tff(4730,plain,
% 24.16/15.88 (![VarCurr: state_type] : (((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex2))) | v124(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 24.16/15.88 inference(quant_intro,[status(thm)],[4729])).
% 24.16/15.88 tff(4731,axiom,(![VarCurr: state_type] : (((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex2))) | v124(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_1')).
% 24.16/15.88 tff(4732,plain,
% 24.16/15.88 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 24.16/15.88 inference(modus_ponens,[status(thm)],[4731, 4730])).
% 24.16/15.88 tff(4733,plain,
% 24.16/15.88 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 24.16/15.88 inference(modus_ponens,[status(thm)],[4732, 4728])).
% 24.16/15.88 tff(4734,plain,(
% 24.16/15.88 ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 24.16/15.88 inference(skolemize,[status(sab)],[4733])).
% 24.16/15.88 tff(4735,plain,
% 24.16/15.88 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 24.16/15.88 inference(modus_ponens,[status(thm)],[4734, 4727])).
% 24.16/15.88 tff(4736,plain,
% 24.16/15.88 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex2)) | v124(constB27))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex2)) | v124(constB27))),
% 24.16/15.88 inference(rewrite,[status(thm)],[])).
% 24.16/15.88 tff(4737,plain,
% 24.16/15.88 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex2)) | v124(constB27))),
% 24.16/15.88 inference(quant_inst,[status(thm)],[])).
% 24.16/15.88 tff(4738,plain,
% 24.16/15.88 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex2)) | v124(constB27)),
% 24.16/15.88 inference(modus_ponens,[status(thm)],[4737, 4736])).
% 24.16/15.88 tff(4739,plain,
% 24.16/15.88 ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex2))),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4738, 4735, 4725])).
% 24.16/15.88 tff(4740,plain,
% 24.16/15.88 ($false),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4739, 4714, 4701, 4469])).
% 24.16/15.88 tff(4741,plain,(v90(constB28, bitIndex1) | v100(constB28)), inference(lemma,lemma(discharge,[]))).
% 24.16/15.88 tff(4742,plain,
% 24.16/15.88 (v90(constB28, bitIndex1)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4741, 4395])).
% 24.16/15.88 tff(4743,plain,
% 24.16/15.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB27, bitIndex1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB27, bitIndex1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex1)))),
% 24.16/15.88 inference(rewrite,[status(thm)],[])).
% 24.16/15.88 tff(4744,plain,
% 24.16/15.88 (((~nextState(constB27, constB28)) | v90(constB27, bitIndex1) | v100(constB28) | (~v90(constB28, bitIndex1))) <=> (v90(constB27, bitIndex1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex1)))),
% 24.16/15.88 inference(rewrite,[status(thm)],[])).
% 24.16/15.88 tff(4745,plain,
% 24.16/15.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex1) | v100(constB28) | (~v90(constB28, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB27, bitIndex1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex1))))),
% 24.16/15.88 inference(monotonicity,[status(thm)],[4744])).
% 24.16/15.88 tff(4746,plain,
% 24.16/15.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex1) | v100(constB28) | (~v90(constB28, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB27, bitIndex1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex1)))),
% 24.16/15.88 inference(transitivity,[status(thm)],[4745, 4743])).
% 24.16/15.88 tff(4747,plain,
% 24.16/15.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex1) | v100(constB28) | (~v90(constB28, bitIndex1)))),
% 24.16/15.88 inference(quant_inst,[status(thm)],[])).
% 24.16/15.88 tff(4748,plain,
% 24.16/15.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB27, bitIndex1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex1))),
% 24.16/15.88 inference(modus_ponens,[status(thm)],[4747, 4746])).
% 24.16/15.88 tff(4749,plain,
% 24.16/15.88 (v90(constB27, bitIndex1) | v100(constB28) | (~v90(constB28, bitIndex1))),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4748, 913, 4389])).
% 24.16/15.88 tff(4750,plain,
% 24.16/15.88 (v90(constB27, bitIndex1)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4749, 4742, 4395])).
% 24.16/15.88 tff(4751,plain,
% 24.16/15.88 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB27)) | v113(constB27))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB27)) | v113(constB27))),
% 24.16/15.88 inference(rewrite,[status(thm)],[])).
% 24.16/15.88 tff(4752,plain,
% 24.16/15.88 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB27)) | v113(constB27))),
% 24.16/15.88 inference(quant_inst,[status(thm)],[])).
% 24.16/15.88 tff(4753,plain,
% 24.16/15.88 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB27)) | v113(constB27)),
% 24.16/15.88 inference(modus_ponens,[status(thm)],[4752, 4751])).
% 24.16/15.88 tff(4754,plain,
% 24.16/15.88 (~v125(constB27)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4753, 1672, 4438])).
% 24.16/15.88 tff(4755,plain,
% 24.16/15.88 (~v117(constB27)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4545, 994, 4456])).
% 24.16/15.88 tff(4756,plain,
% 24.16/15.88 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB27) | (~v121(constB27)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB27) | (~v121(constB27)))),
% 24.16/15.88 inference(rewrite,[status(thm)],[])).
% 24.16/15.88 tff(4757,plain,
% 24.16/15.88 (((~v121(constB27)) | v117(constB27)) <=> (v117(constB27) | (~v121(constB27)))),
% 24.16/15.88 inference(rewrite,[status(thm)],[])).
% 24.16/15.88 tff(4758,plain,
% 24.16/15.88 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB27)) | v117(constB27))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB27) | (~v121(constB27))))),
% 24.16/15.88 inference(monotonicity,[status(thm)],[4757])).
% 24.16/15.88 tff(4759,plain,
% 24.16/15.88 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB27)) | v117(constB27))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB27) | (~v121(constB27)))),
% 24.16/15.88 inference(transitivity,[status(thm)],[4758, 4756])).
% 24.16/15.88 tff(4760,plain,
% 24.16/15.88 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB27)) | v117(constB27))),
% 24.16/15.88 inference(quant_inst,[status(thm)],[])).
% 24.16/15.88 tff(4761,plain,
% 24.16/15.88 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB27) | (~v121(constB27))),
% 24.16/15.88 inference(modus_ponens,[status(thm)],[4760, 4759])).
% 24.16/15.88 tff(4762,plain,
% 24.16/15.88 (~v121(constB27)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4761, 2102, 4755])).
% 24.16/15.88 tff(4763,assumption,(v90(constB27, bitIndex1)), introduced(assumption)).
% 24.16/15.88 tff(4764,assumption,(~v90(constB27, bitIndex0)), introduced(assumption)).
% 24.16/15.88 tff(4765,assumption,(~v125(constB27)), introduced(assumption)).
% 24.16/15.88 tff(4766,plain,
% 24.16/15.88 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | (~v90(constB27, bitIndex2)) | v125(constB27))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | (~v90(constB27, bitIndex2)) | v125(constB27))),
% 24.16/15.88 inference(rewrite,[status(thm)],[])).
% 24.16/15.88 tff(4767,plain,
% 24.16/15.88 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | (~v90(constB27, bitIndex2)) | v125(constB27))),
% 24.16/15.88 inference(quant_inst,[status(thm)],[])).
% 24.16/15.88 tff(4768,plain,
% 24.16/15.88 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | (~v90(constB27, bitIndex2)) | v125(constB27)),
% 24.16/15.88 inference(modus_ponens,[status(thm)],[4767, 4766])).
% 24.16/15.88 tff(4769,plain,
% 24.16/15.88 (v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | (~v90(constB27, bitIndex2))),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4768, 1661, 4765])).
% 24.16/15.88 tff(4770,plain,
% 24.16/15.88 (~v90(constB27, bitIndex2)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4769, 4764, 4763])).
% 24.16/15.88 tff(4771,assumption,(~v121(constB27)), introduced(assumption)).
% 24.16/15.88 tff(4772,plain,
% 24.16/15.88 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v121(constB27))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v121(constB27))),
% 24.16/15.88 inference(rewrite,[status(thm)],[])).
% 24.16/15.88 tff(4773,plain,
% 24.16/15.88 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v121(constB27))),
% 24.16/15.88 inference(quant_inst,[status(thm)],[])).
% 24.16/15.88 tff(4774,plain,
% 24.16/15.88 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v121(constB27)),
% 24.16/15.88 inference(modus_ponens,[status(thm)],[4773, 4772])).
% 24.16/15.88 tff(4775,plain,
% 24.16/15.88 (v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4774, 2145, 4771])).
% 24.16/15.88 tff(4776,plain,
% 24.16/15.88 ($false),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4775, 4770, 4764, 4763])).
% 24.16/15.88 tff(4777,plain,(v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | v121(constB27) | v125(constB27)), inference(lemma,lemma(discharge,[]))).
% 24.16/15.88 tff(4778,plain,
% 24.16/15.88 (v90(constB27, bitIndex0)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4777, 4762, 4754, 4750])).
% 24.16/15.88 tff(4779,plain,
% 24.16/15.88 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB27, bitIndex0)) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v122(constB27))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB27, bitIndex0)) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v122(constB27))),
% 24.16/15.88 inference(rewrite,[status(thm)],[])).
% 24.16/15.88 tff(4780,plain,
% 24.16/15.88 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB27, bitIndex0)) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v122(constB27))),
% 24.16/15.88 inference(quant_inst,[status(thm)],[])).
% 24.16/15.88 tff(4781,plain,
% 24.16/15.88 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB27, bitIndex0)) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v122(constB27)),
% 24.16/15.88 inference(modus_ponens,[status(thm)],[4780, 4779])).
% 24.16/15.88 tff(4782,plain,
% 24.16/15.88 ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex2) | v122(constB27)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4781, 2641, 4750])).
% 24.16/15.88 tff(4783,plain,
% 24.16/15.88 (v90(constB27, bitIndex2)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4782, 4778, 4460])).
% 24.16/15.88 tff(4784,plain,
% 24.16/15.88 (v90(constB26, bitIndex2)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4296, 4783])).
% 24.16/15.88 tff(4785,plain,
% 24.16/15.88 (v90(constB26, bitIndex1)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4361, 4750])).
% 24.16/15.88 tff(4786,plain,
% 24.16/15.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex0)))),
% 24.16/15.88 inference(rewrite,[status(thm)],[])).
% 24.16/15.88 tff(4787,plain,
% 24.16/15.88 (((~nextState(constB26, constB27)) | v90(constB26, bitIndex0) | v100(constB27) | (~v90(constB27, bitIndex0))) <=> (v90(constB26, bitIndex0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex0)))),
% 24.16/15.88 inference(rewrite,[status(thm)],[])).
% 24.16/15.88 tff(4788,plain,
% 24.16/15.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex0) | v100(constB27) | (~v90(constB27, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex0))))),
% 24.16/15.88 inference(monotonicity,[status(thm)],[4787])).
% 24.16/15.88 tff(4789,plain,
% 24.16/15.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex0) | v100(constB27) | (~v90(constB27, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex0)))),
% 24.16/15.88 inference(transitivity,[status(thm)],[4788, 4786])).
% 24.16/15.88 tff(4790,plain,
% 24.16/15.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex0) | v100(constB27) | (~v90(constB27, bitIndex0)))),
% 24.16/15.88 inference(quant_inst,[status(thm)],[])).
% 24.16/15.88 tff(4791,plain,
% 24.16/15.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex0))),
% 24.16/15.88 inference(modus_ponens,[status(thm)],[4790, 4789])).
% 24.16/15.88 tff(4792,plain,
% 24.16/15.88 (v90(constB26, bitIndex0) | v100(constB27) | (~v90(constB27, bitIndex0))),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4791, 934, 4276])).
% 24.16/15.88 tff(4793,plain,
% 24.16/15.88 (v90(constB26, bitIndex0) | (~v90(constB27, bitIndex0))),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4792, 4288])).
% 24.16/15.88 tff(4794,plain,
% 24.16/15.88 (v90(constB26, bitIndex0)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4793, 4778])).
% 24.16/15.88 tff(4795,assumption,(v100(constB26)), introduced(assumption)).
% 24.16/15.88 tff(4796,assumption,(v90(constB26, bitIndex2)), introduced(assumption)).
% 24.16/15.88 tff(4797,plain,
% 24.16/15.88 (v129(constB26, bitIndex2) | (~v100(constB26))),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4268, 1845, 4796])).
% 24.16/15.88 tff(4798,plain,
% 24.16/15.88 (v129(constB26, bitIndex2)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4797, 4795])).
% 24.16/15.88 tff(4799,plain,
% 24.16/15.88 (v127(constB25, bitIndex2)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4264, 4798])).
% 24.16/15.88 tff(4800,plain,
% 24.16/15.88 (v130(constB25, bitIndex2)),
% 24.16/15.88 inference(unit_resolution,[status(thm)],[4259, 4799])).
% 24.16/15.88 tff(4801,plain,
% 24.16/15.88 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 24.16/15.88 inference(bind,[status(th)],[])).
% 24.16/15.88 tff(4802,plain,
% 24.16/15.88 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 24.16/15.88 inference(quant_intro,[status(thm)],[4801])).
% 24.16/15.89 tff(4803,plain,
% 24.16/15.89 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 24.16/15.89 inference(rewrite,[status(thm)],[])).
% 24.16/15.89 tff(4804,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_3')).
% 24.16/15.89 tff(4805,plain,
% 24.16/15.89 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 24.16/15.89 inference(modus_ponens,[status(thm)],[4804, 4803])).
% 24.16/15.89 tff(4806,plain,(
% 24.16/15.89 ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 24.16/15.89 inference(skolemize,[status(sab)],[4805])).
% 24.16/15.89 tff(4807,plain,
% 24.16/15.89 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 24.16/15.89 inference(modus_ponens,[status(thm)],[4806, 4802])).
% 24.16/15.89 tff(4808,plain,
% 24.16/15.89 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB25)) | (~v130(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB25)) | (~v130(constB25, bitIndex2)))),
% 24.16/15.89 inference(rewrite,[status(thm)],[])).
% 24.16/15.89 tff(4809,plain,
% 24.16/15.89 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB25)) | (~v130(constB25, bitIndex2)))),
% 24.16/15.89 inference(quant_inst,[status(thm)],[])).
% 24.16/15.89 tff(4810,plain,
% 24.16/15.89 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB25)) | (~v130(constB25, bitIndex2))),
% 24.16/15.89 inference(modus_ponens,[status(thm)],[4809, 4808])).
% 24.16/15.89 tff(4811,plain,
% 24.16/15.89 (~v124(constB25)),
% 24.16/15.89 inference(unit_resolution,[status(thm)],[4810, 4807, 4800])).
% 24.16/15.89 tff(4812,assumption,(v90(constB26, bitIndex0)), introduced(assumption)).
% 24.16/15.89 tff(4813,plain,
% 24.16/15.89 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB26, bitIndex0)) | v129(constB26, bitIndex0) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | v129(constB26, bitIndex0) | (~v100(constB26)))),
% 24.16/15.89 inference(rewrite,[status(thm)],[])).
% 24.16/15.89 tff(4814,plain,
% 24.16/15.89 (((~v90(constB26, bitIndex0)) | (~v100(constB26)) | v129(constB26, bitIndex0)) <=> ((~v90(constB26, bitIndex0)) | v129(constB26, bitIndex0) | (~v100(constB26)))),
% 24.16/15.89 inference(rewrite,[status(thm)],[])).
% 24.16/15.89 tff(4815,plain,
% 24.16/15.89 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB26, bitIndex0)) | (~v100(constB26)) | v129(constB26, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB26, bitIndex0)) | v129(constB26, bitIndex0) | (~v100(constB26))))),
% 24.16/15.89 inference(monotonicity,[status(thm)],[4814])).
% 24.16/15.89 tff(4816,plain,
% 24.16/15.89 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB26, bitIndex0)) | (~v100(constB26)) | v129(constB26, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | v129(constB26, bitIndex0) | (~v100(constB26)))),
% 24.16/15.89 inference(transitivity,[status(thm)],[4815, 4813])).
% 24.16/15.89 tff(4817,plain,
% 24.16/15.89 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB26, bitIndex0)) | (~v100(constB26)) | v129(constB26, bitIndex0))),
% 24.16/15.89 inference(quant_inst,[status(thm)],[])).
% 24.16/15.89 tff(4818,plain,
% 24.16/15.89 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | v129(constB26, bitIndex0) | (~v100(constB26))),
% 24.16/15.89 inference(modus_ponens,[status(thm)],[4817, 4816])).
% 24.16/15.89 tff(4819,plain,
% 24.16/15.89 (v129(constB26, bitIndex0) | (~v100(constB26))),
% 24.16/15.89 inference(unit_resolution,[status(thm)],[4818, 1374, 4812])).
% 24.16/15.89 tff(4820,plain,
% 24.16/15.89 (v129(constB26, bitIndex0)),
% 24.16/15.89 inference(unit_resolution,[status(thm)],[4819, 4795])).
% 24.16/15.89 tff(4821,plain,
% 24.16/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex0) | (~v129(constB26, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex0) | (~v129(constB26, bitIndex0)))),
% 24.16/15.89 inference(rewrite,[status(thm)],[])).
% 24.16/15.89 tff(4822,plain,
% 24.16/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex0) | (~v129(constB26, bitIndex0)))),
% 24.16/15.89 inference(quant_inst,[status(thm)],[])).
% 24.16/15.89 tff(4823,plain,
% 24.16/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex0) | (~v129(constB26, bitIndex0))),
% 24.16/15.89 inference(modus_ponens,[status(thm)],[4822, 4821])).
% 24.16/15.89 tff(4824,plain,
% 24.16/15.89 (v127(constB25, bitIndex0) | (~v129(constB26, bitIndex0))),
% 24.16/15.89 inference(unit_resolution,[status(thm)],[4823, 1359, 4193])).
% 24.16/15.89 tff(4825,plain,
% 24.16/15.89 (v127(constB25, bitIndex0)),
% 24.16/15.89 inference(unit_resolution,[status(thm)],[4824, 4820])).
% 24.16/15.89 tff(4826,plain,
% 24.16/15.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB25, bitIndex0)) | v26(constB25) | v130(constB25, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB25, bitIndex0)) | v26(constB25) | v130(constB25, bitIndex0))),
% 24.16/15.89 inference(rewrite,[status(thm)],[])).
% 24.16/15.89 tff(4827,plain,
% 24.16/15.89 ((v26(constB25) | v130(constB25, bitIndex0) | (~v127(constB25, bitIndex0))) <=> ((~v127(constB25, bitIndex0)) | v26(constB25) | v130(constB25, bitIndex0))),
% 24.16/15.89 inference(rewrite,[status(thm)],[])).
% 24.16/15.89 tff(4828,plain,
% 24.16/15.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB25) | v130(constB25, bitIndex0) | (~v127(constB25, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB25, bitIndex0)) | v26(constB25) | v130(constB25, bitIndex0)))),
% 24.16/15.89 inference(monotonicity,[status(thm)],[4827])).
% 24.16/15.89 tff(4829,plain,
% 24.16/15.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB25) | v130(constB25, bitIndex0) | (~v127(constB25, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB25, bitIndex0)) | v26(constB25) | v130(constB25, bitIndex0))),
% 24.16/15.89 inference(transitivity,[status(thm)],[4828, 4826])).
% 24.16/15.89 tff(4830,plain,
% 24.16/15.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB25) | v130(constB25, bitIndex0) | (~v127(constB25, bitIndex0)))),
% 24.16/15.89 inference(quant_inst,[status(thm)],[])).
% 24.16/15.89 tff(4831,plain,
% 24.16/15.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB25, bitIndex0)) | v26(constB25) | v130(constB25, bitIndex0)),
% 24.16/15.89 inference(modus_ponens,[status(thm)],[4830, 4829])).
% 24.16/15.89 tff(4832,plain,
% 24.16/15.89 ((~v127(constB25, bitIndex0)) | v130(constB25, bitIndex0)),
% 24.16/15.89 inference(unit_resolution,[status(thm)],[4831, 1341, 4175])).
% 24.16/15.89 tff(4833,plain,
% 24.16/15.89 (v130(constB25, bitIndex0)),
% 24.16/15.89 inference(unit_resolution,[status(thm)],[4832, 4825])).
% 24.16/15.89 tff(4834,plain,
% 24.16/15.89 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB25)) | (~v130(constB25, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB25)) | (~v130(constB25, bitIndex0)))),
% 24.16/15.89 inference(rewrite,[status(thm)],[])).
% 24.16/15.89 tff(4835,plain,
% 24.16/15.89 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB25)) | (~v130(constB25, bitIndex0)))),
% 24.16/15.89 inference(quant_inst,[status(thm)],[])).
% 24.16/15.89 tff(4836,plain,
% 24.16/15.89 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB25)) | (~v130(constB25, bitIndex0))),
% 24.16/15.89 inference(modus_ponens,[status(thm)],[4835, 4834])).
% 24.16/15.89 tff(4837,plain,
% 24.16/15.89 (~v123(constB25)),
% 24.16/15.89 inference(unit_resolution,[status(thm)],[4836, 1617, 4833])).
% 24.16/15.89 tff(4838,assumption,(v90(constB26, bitIndex1)), introduced(assumption)).
% 24.16/15.89 tff(4839,plain,
% 24.16/15.89 (v129(constB26, bitIndex1) | (~v100(constB26))),
% 24.16/15.89 inference(unit_resolution,[status(thm)],[4351, 1303, 4838])).
% 24.16/15.89 tff(4840,plain,
% 24.16/15.89 (v129(constB26, bitIndex1)),
% 24.16/15.89 inference(unit_resolution,[status(thm)],[4839, 4795])).
% 24.16/15.89 tff(4841,plain,
% 24.16/15.89 (v127(constB25, bitIndex1)),
% 24.16/15.89 inference(unit_resolution,[status(thm)],[4344, 4840])).
% 24.16/15.89 tff(4842,plain,
% 24.16/15.89 (v130(constB25, bitIndex1)),
% 24.16/15.89 inference(unit_resolution,[status(thm)],[4339, 4841])).
% 24.16/15.89 tff(4843,plain,
% 24.16/15.89 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB25)) | (~v130(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB25)) | (~v130(constB25, bitIndex1)))),
% 24.16/15.89 inference(rewrite,[status(thm)],[])).
% 24.16/15.89 tff(4844,plain,
% 24.16/15.89 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB25)) | (~v130(constB25, bitIndex1)))),
% 24.16/15.89 inference(quant_inst,[status(thm)],[])).
% 24.16/15.89 tff(4845,plain,
% 24.16/15.89 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB25)) | (~v130(constB25, bitIndex1))),
% 24.16/15.89 inference(modus_ponens,[status(thm)],[4844, 4843])).
% 24.16/15.89 tff(4846,plain,
% 24.16/15.89 (~v122(constB25)),
% 24.16/15.89 inference(unit_resolution,[status(thm)],[4845, 2792, 4842])).
% 24.16/15.89 tff(4847,plain,
% 24.16/15.89 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB25)) | (~v130(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB25)) | (~v130(constB25, bitIndex2)))),
% 24.16/15.89 inference(rewrite,[status(thm)],[])).
% 24.16/15.89 tff(4848,plain,
% 24.16/15.89 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB25)) | (~v130(constB25, bitIndex2)))),
% 24.16/15.89 inference(quant_inst,[status(thm)],[])).
% 24.16/15.89 tff(4849,plain,
% 24.16/15.89 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB25)) | (~v130(constB25, bitIndex2))),
% 24.16/15.89 inference(modus_ponens,[status(thm)],[4848, 4847])).
% 24.16/15.89 tff(4850,plain,
% 24.16/15.89 (~v121(constB25)),
% 24.16/15.89 inference(unit_resolution,[status(thm)],[4849, 2406, 4800])).
% 24.16/15.89 tff(4851,plain,
% 24.16/15.89 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB25)) | (~v130(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB25)) | (~v130(constB25, bitIndex1)))),
% 24.16/15.89 inference(rewrite,[status(thm)],[])).
% 24.16/15.89 tff(4852,plain,
% 24.16/15.89 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB25)) | (~v130(constB25, bitIndex1)))),
% 24.16/15.89 inference(quant_inst,[status(thm)],[])).
% 24.16/15.89 tff(4853,plain,
% 24.16/15.89 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB25)) | (~v130(constB25, bitIndex1))),
% 24.16/15.89 inference(modus_ponens,[status(thm)],[4852, 4851])).
% 24.16/15.89 tff(4854,plain,
% 24.16/15.89 (~v119(constB25)),
% 24.16/15.89 inference(unit_resolution,[status(thm)],[4853, 1256, 4842])).
% 24.16/15.89 tff(4855,plain,
% 24.16/15.89 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB25)) | (~v130(constB25, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB25)) | (~v130(constB25, bitIndex0)))),
% 24.16/15.89 inference(rewrite,[status(thm)],[])).
% 24.16/15.89 tff(4856,plain,
% 24.16/15.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB25)) | (~v130(constB25, bitIndex0)))),
% 24.16/15.89 inference(quant_inst,[status(thm)],[])).
% 24.16/15.89 tff(4857,plain,
% 24.16/15.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB25)) | (~v130(constB25, bitIndex0))),
% 24.16/15.89 inference(modus_ponens,[status(thm)],[4856, 4855])).
% 24.16/15.89 tff(4858,plain,
% 24.16/15.89 (~v120(constB25)),
% 24.16/15.89 inference(unit_resolution,[status(thm)],[4857, 2023, 4833])).
% 24.16/15.89 tff(4859,plain,
% 24.16/15.89 (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25)),
% 24.16/15.89 inference(unit_resolution,[status(thm)],[4331, 1887, 4842])).
% 24.16/15.89 tff(4860,plain,
% 24.16/15.89 ($false),
% 24.16/15.89 inference(unit_resolution,[status(thm)],[4859, 4858, 4854, 4850, 4846, 4837, 4811])).
% 24.16/15.89 tff(4861,plain,((~v100(constB26)) | (~v90(constB26, bitIndex2)) | (~v90(constB26, bitIndex0)) | (~v90(constB26, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 24.16/15.89 tff(4862,plain,
% 24.16/15.89 (~v100(constB26)),
% 24.16/15.89 inference(unit_resolution,[status(thm)],[4861, 4784, 4794, 4785])).
% 24.16/15.89 tff(4863,plain,
% 24.16/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB25, bitIndex2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB25, bitIndex2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex2)))),
% 24.16/15.89 inference(rewrite,[status(thm)],[])).
% 24.16/15.89 tff(4864,plain,
% 24.16/15.89 (((~nextState(constB25, constB26)) | v90(constB25, bitIndex2) | v100(constB26) | (~v90(constB26, bitIndex2))) <=> (v90(constB25, bitIndex2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex2)))),
% 24.16/15.89 inference(rewrite,[status(thm)],[])).
% 24.16/15.89 tff(4865,plain,
% 24.16/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v90(constB25, bitIndex2) | v100(constB26) | (~v90(constB26, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB25, bitIndex2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex2))))),
% 24.16/15.89 inference(monotonicity,[status(thm)],[4864])).
% 24.16/15.89 tff(4866,plain,
% 24.16/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v90(constB25, bitIndex2) | v100(constB26) | (~v90(constB26, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB25, bitIndex2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex2)))),
% 24.16/15.89 inference(transitivity,[status(thm)],[4865, 4863])).
% 24.16/15.89 tff(4867,plain,
% 24.16/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v90(constB25, bitIndex2) | v100(constB26) | (~v90(constB26, bitIndex2)))),
% 24.18/15.89 inference(quant_inst,[status(thm)],[])).
% 24.18/15.89 tff(4868,plain,
% 24.18/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB25, bitIndex2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex2))),
% 24.18/15.89 inference(modus_ponens,[status(thm)],[4867, 4866])).
% 24.18/15.89 tff(4869,plain,
% 24.18/15.89 (v90(constB25, bitIndex2) | v100(constB26) | (~v90(constB26, bitIndex2))),
% 24.18/15.89 inference(unit_resolution,[status(thm)],[4868, 892, 4193])).
% 24.18/15.89 tff(4870,plain,
% 24.18/15.89 (v90(constB25, bitIndex2)),
% 24.18/15.89 inference(unit_resolution,[status(thm)],[4869, 4862, 4784])).
% 24.18/15.89 tff(4871,plain,
% 24.18/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex2)))),
% 24.18/15.89 inference(rewrite,[status(thm)],[])).
% 24.18/15.89 tff(4872,plain,
% 24.18/15.89 (((~nextState(constB24, constB25)) | v90(constB24, bitIndex2) | v100(constB25) | (~v90(constB25, bitIndex2))) <=> (v90(constB24, bitIndex2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex2)))),
% 24.18/15.89 inference(rewrite,[status(thm)],[])).
% 24.18/15.89 tff(4873,plain,
% 24.18/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex2) | v100(constB25) | (~v90(constB25, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex2))))),
% 24.18/15.89 inference(monotonicity,[status(thm)],[4872])).
% 24.18/15.89 tff(4874,plain,
% 24.18/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex2) | v100(constB25) | (~v90(constB25, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex2)))),
% 24.18/15.89 inference(transitivity,[status(thm)],[4873, 4871])).
% 24.18/15.89 tff(4875,plain,
% 24.18/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex2) | v100(constB25) | (~v90(constB25, bitIndex2)))),
% 24.18/15.89 inference(quant_inst,[status(thm)],[])).
% 24.18/15.89 tff(4876,plain,
% 24.18/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex2))),
% 24.18/15.89 inference(modus_ponens,[status(thm)],[4875, 4874])).
% 24.18/15.89 tff(4877,plain,
% 24.18/15.89 (v90(constB24, bitIndex2) | v100(constB25) | (~v90(constB25, bitIndex2))),
% 24.18/15.89 inference(unit_resolution,[status(thm)],[4876, 892, 4074])).
% 24.18/15.89 tff(4878,plain,
% 24.18/15.89 (v90(constB24, bitIndex2) | (~v90(constB25, bitIndex2))),
% 24.18/15.89 inference(unit_resolution,[status(thm)],[4877, 4086])).
% 24.18/15.89 tff(4879,plain,
% 24.18/15.89 (v90(constB24, bitIndex2)),
% 24.18/15.89 inference(unit_resolution,[status(thm)],[4878, 4870])).
% 24.18/15.89 tff(4880,plain,
% 24.18/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB25, bitIndex1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB25, bitIndex1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex1)))),
% 24.18/15.89 inference(rewrite,[status(thm)],[])).
% 24.18/15.89 tff(4881,plain,
% 24.18/15.89 (((~nextState(constB25, constB26)) | v90(constB25, bitIndex1) | v100(constB26) | (~v90(constB26, bitIndex1))) <=> (v90(constB25, bitIndex1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex1)))),
% 24.18/15.89 inference(rewrite,[status(thm)],[])).
% 24.18/15.89 tff(4882,plain,
% 24.18/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v90(constB25, bitIndex1) | v100(constB26) | (~v90(constB26, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB25, bitIndex1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex1))))),
% 24.18/15.89 inference(monotonicity,[status(thm)],[4881])).
% 24.18/15.89 tff(4883,plain,
% 24.18/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v90(constB25, bitIndex1) | v100(constB26) | (~v90(constB26, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB25, bitIndex1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex1)))),
% 24.18/15.89 inference(transitivity,[status(thm)],[4882, 4880])).
% 24.18/15.89 tff(4884,plain,
% 24.18/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v90(constB25, bitIndex1) | v100(constB26) | (~v90(constB26, bitIndex1)))),
% 24.18/15.89 inference(quant_inst,[status(thm)],[])).
% 24.18/15.89 tff(4885,plain,
% 24.18/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB25, bitIndex1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex1))),
% 24.18/15.89 inference(modus_ponens,[status(thm)],[4884, 4883])).
% 24.18/15.89 tff(4886,plain,
% 24.18/15.89 (v90(constB25, bitIndex1) | v100(constB26) | (~v90(constB26, bitIndex1))),
% 24.18/15.89 inference(unit_resolution,[status(thm)],[4885, 913, 4193])).
% 24.18/15.89 tff(4887,plain,
% 24.18/15.89 (v90(constB25, bitIndex1)),
% 24.18/15.89 inference(unit_resolution,[status(thm)],[4886, 4862, 4785])).
% 24.18/15.89 tff(4888,plain,
% 24.18/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex1)))),
% 24.18/15.89 inference(rewrite,[status(thm)],[])).
% 24.18/15.89 tff(4889,plain,
% 24.18/15.89 (((~nextState(constB24, constB25)) | v90(constB24, bitIndex1) | v100(constB25) | (~v90(constB25, bitIndex1))) <=> (v90(constB24, bitIndex1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex1)))),
% 24.18/15.89 inference(rewrite,[status(thm)],[])).
% 24.18/15.89 tff(4890,plain,
% 24.18/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex1) | v100(constB25) | (~v90(constB25, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex1))))),
% 24.18/15.89 inference(monotonicity,[status(thm)],[4889])).
% 24.18/15.89 tff(4891,plain,
% 24.18/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex1) | v100(constB25) | (~v90(constB25, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex1)))),
% 24.18/15.89 inference(transitivity,[status(thm)],[4890, 4888])).
% 24.18/15.89 tff(4892,plain,
% 24.18/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex1) | v100(constB25) | (~v90(constB25, bitIndex1)))),
% 24.18/15.89 inference(quant_inst,[status(thm)],[])).
% 24.18/15.89 tff(4893,plain,
% 24.18/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex1))),
% 24.18/15.89 inference(modus_ponens,[status(thm)],[4892, 4891])).
% 24.18/15.89 tff(4894,plain,
% 24.18/15.89 (v90(constB24, bitIndex1) | v100(constB25) | (~v90(constB25, bitIndex1))),
% 24.18/15.89 inference(unit_resolution,[status(thm)],[4893, 913, 4074])).
% 24.18/15.89 tff(4895,plain,
% 24.18/15.89 (v90(constB24, bitIndex1) | (~v90(constB25, bitIndex1))),
% 24.18/15.89 inference(unit_resolution,[status(thm)],[4894, 4086])).
% 24.18/15.89 tff(4896,plain,
% 24.18/15.89 (v90(constB24, bitIndex1)),
% 24.18/15.89 inference(unit_resolution,[status(thm)],[4895, 4887])).
% 24.18/15.89 tff(4897,plain,
% 24.18/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB25, bitIndex0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB25, bitIndex0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex0)))),
% 24.18/15.89 inference(rewrite,[status(thm)],[])).
% 24.18/15.89 tff(4898,plain,
% 24.18/15.89 (((~nextState(constB25, constB26)) | v90(constB25, bitIndex0) | v100(constB26) | (~v90(constB26, bitIndex0))) <=> (v90(constB25, bitIndex0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex0)))),
% 24.18/15.89 inference(rewrite,[status(thm)],[])).
% 24.18/15.89 tff(4899,plain,
% 24.18/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB25, constB26)) | v90(constB25, bitIndex0) | v100(constB26) | (~v90(constB26, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB25, bitIndex0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex0))))),
% 24.18/15.89 inference(monotonicity,[status(thm)],[4898])).
% 24.18/15.89 tff(4900,plain,
% 24.18/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB25, constB26)) | v90(constB25, bitIndex0) | v100(constB26) | (~v90(constB26, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB25, bitIndex0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex0)))),
% 24.18/15.89 inference(transitivity,[status(thm)],[4899, 4897])).
% 24.18/15.89 tff(4901,plain,
% 24.18/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB25, constB26)) | v90(constB25, bitIndex0) | v100(constB26) | (~v90(constB26, bitIndex0)))),
% 24.18/15.89 inference(quant_inst,[status(thm)],[])).
% 24.18/15.89 tff(4902,plain,
% 24.18/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB25, bitIndex0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex0))),
% 24.18/15.89 inference(modus_ponens,[status(thm)],[4901, 4900])).
% 24.18/15.89 tff(4903,plain,
% 24.18/15.89 (v90(constB25, bitIndex0) | v100(constB26) | (~v90(constB26, bitIndex0))),
% 24.18/15.89 inference(unit_resolution,[status(thm)],[4902, 934, 4193])).
% 24.18/15.89 tff(4904,plain,
% 24.18/15.89 (v90(constB25, bitIndex0)),
% 24.18/15.89 inference(unit_resolution,[status(thm)],[4903, 4862, 4794])).
% 24.18/15.89 tff(4905,plain,
% 24.18/15.89 (v90(constB24, bitIndex0)),
% 24.18/15.89 inference(unit_resolution,[status(thm)],[4159, 4904])).
% 24.18/15.89 tff(4906,assumption,(v90(constB24, bitIndex0)), introduced(assumption)).
% 24.18/15.89 tff(4907,assumption,(~v100(constB24)), introduced(assumption)).
% 24.18/15.89 tff(4908,plain,
% 24.18/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB23, bitIndex0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB23, bitIndex0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex0)))),
% 24.18/15.89 inference(rewrite,[status(thm)],[])).
% 24.18/15.89 tff(4909,plain,
% 24.18/15.89 (((~nextState(constB23, constB24)) | v90(constB23, bitIndex0) | v100(constB24) | (~v90(constB24, bitIndex0))) <=> (v90(constB23, bitIndex0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex0)))),
% 24.18/15.89 inference(rewrite,[status(thm)],[])).
% 24.18/15.89 tff(4910,plain,
% 24.18/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex0) | v100(constB24) | (~v90(constB24, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB23, bitIndex0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex0))))),
% 24.18/15.89 inference(monotonicity,[status(thm)],[4909])).
% 24.18/15.89 tff(4911,plain,
% 24.18/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex0) | v100(constB24) | (~v90(constB24, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB23, bitIndex0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex0)))),
% 24.18/15.89 inference(transitivity,[status(thm)],[4910, 4908])).
% 24.18/15.89 tff(4912,plain,
% 24.18/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex0) | v100(constB24) | (~v90(constB24, bitIndex0)))),
% 24.18/15.89 inference(quant_inst,[status(thm)],[])).
% 24.18/15.89 tff(4913,plain,
% 24.18/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB23, bitIndex0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex0))),
% 24.18/15.89 inference(modus_ponens,[status(thm)],[4912, 4911])).
% 24.18/15.89 tff(4914,plain,
% 24.18/15.89 (v90(constB23, bitIndex0) | v100(constB24) | (~v90(constB24, bitIndex0))),
% 24.18/15.89 inference(unit_resolution,[status(thm)],[4913, 934, 4012])).
% 24.18/15.89 tff(4915,plain,
% 24.18/15.89 (v90(constB23, bitIndex0)),
% 24.18/15.89 inference(unit_resolution,[status(thm)],[4914, 4907, 4906])).
% 24.18/15.89 tff(4916,plain,
% 24.18/15.89 (v90(constB22, bitIndex0)),
% 24.18/15.89 inference(unit_resolution,[status(thm)],[3961, 4915])).
% 24.18/15.89 tff(4917,assumption,(v90(constB24, bitIndex2)), introduced(assumption)).
% 24.18/15.89 tff(4918,plain,
% 24.18/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB23, bitIndex2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB23, bitIndex2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex2)))),
% 24.18/15.89 inference(rewrite,[status(thm)],[])).
% 24.18/15.90 tff(4919,plain,
% 24.18/15.90 (((~nextState(constB23, constB24)) | v90(constB23, bitIndex2) | v100(constB24) | (~v90(constB24, bitIndex2))) <=> (v90(constB23, bitIndex2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex2)))),
% 24.18/15.90 inference(rewrite,[status(thm)],[])).
% 24.18/15.90 tff(4920,plain,
% 24.18/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex2) | v100(constB24) | (~v90(constB24, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB23, bitIndex2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex2))))),
% 24.18/15.90 inference(monotonicity,[status(thm)],[4919])).
% 24.18/15.90 tff(4921,plain,
% 24.18/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex2) | v100(constB24) | (~v90(constB24, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB23, bitIndex2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex2)))),
% 24.18/15.90 inference(transitivity,[status(thm)],[4920, 4918])).
% 24.18/15.90 tff(4922,plain,
% 24.18/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex2) | v100(constB24) | (~v90(constB24, bitIndex2)))),
% 24.18/15.90 inference(quant_inst,[status(thm)],[])).
% 24.18/15.90 tff(4923,plain,
% 24.18/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB23, bitIndex2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex2))),
% 24.18/15.90 inference(modus_ponens,[status(thm)],[4922, 4921])).
% 24.18/15.90 tff(4924,plain,
% 24.18/15.90 (v90(constB23, bitIndex2) | v100(constB24) | (~v90(constB24, bitIndex2))),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[4923, 892, 4012])).
% 24.18/15.90 tff(4925,plain,
% 24.18/15.90 (v90(constB23, bitIndex2)),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[4924, 4907, 4917])).
% 24.18/15.90 tff(4926,plain,
% 24.18/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex2)))),
% 24.18/15.90 inference(rewrite,[status(thm)],[])).
% 24.18/15.90 tff(4927,plain,
% 24.18/15.90 (((~nextState(constB22, constB23)) | v90(constB22, bitIndex2) | v100(constB23) | (~v90(constB23, bitIndex2))) <=> (v90(constB22, bitIndex2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex2)))),
% 24.18/15.90 inference(rewrite,[status(thm)],[])).
% 24.18/15.90 tff(4928,plain,
% 24.18/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex2) | v100(constB23) | (~v90(constB23, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex2))))),
% 24.18/15.90 inference(monotonicity,[status(thm)],[4927])).
% 24.18/15.90 tff(4929,plain,
% 24.18/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex2) | v100(constB23) | (~v90(constB23, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex2)))),
% 24.18/15.90 inference(transitivity,[status(thm)],[4928, 4926])).
% 24.18/15.90 tff(4930,plain,
% 24.18/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex2) | v100(constB23) | (~v90(constB23, bitIndex2)))),
% 24.18/15.90 inference(quant_inst,[status(thm)],[])).
% 24.18/15.90 tff(4931,plain,
% 24.18/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex2))),
% 24.18/15.90 inference(modus_ponens,[status(thm)],[4930, 4929])).
% 24.18/15.90 tff(4932,plain,
% 24.18/15.90 (v90(constB22, bitIndex2) | v100(constB23) | (~v90(constB23, bitIndex2))),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[4931, 892, 3865])).
% 24.18/15.90 tff(4933,plain,
% 24.18/15.90 (v90(constB22, bitIndex2) | (~v90(constB23, bitIndex2))),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[4932, 3877])).
% 24.18/15.90 tff(4934,plain,
% 24.18/15.90 (v90(constB22, bitIndex2)),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[4933, 4925])).
% 24.18/15.90 tff(4935,assumption,(v90(constB22, bitIndex2)), introduced(assumption)).
% 24.18/15.90 tff(4936,assumption,(~v100(constB22)), introduced(assumption)).
% 24.18/15.90 tff(4937,plain,
% 24.18/15.90 (v90(constB21, bitIndex2)),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[3893, 4936, 4935])).
% 24.18/15.90 tff(4938,plain,
% 24.18/15.90 (v90(constB20, bitIndex2)),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[3738, 4937])).
% 24.18/15.90 tff(4939,assumption,(v90(constB22, bitIndex0)), introduced(assumption)).
% 24.18/15.90 tff(4940,plain,
% 24.18/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex0)))),
% 24.18/15.90 inference(rewrite,[status(thm)],[])).
% 24.18/15.90 tff(4941,plain,
% 24.18/15.90 (((~nextState(constB21, constB22)) | v90(constB21, bitIndex0) | v100(constB22) | (~v90(constB22, bitIndex0))) <=> (v90(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex0)))),
% 24.18/15.90 inference(rewrite,[status(thm)],[])).
% 24.18/15.90 tff(4942,plain,
% 24.18/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v90(constB21, bitIndex0) | v100(constB22) | (~v90(constB22, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex0))))),
% 24.18/15.90 inference(monotonicity,[status(thm)],[4941])).
% 24.18/15.90 tff(4943,plain,
% 24.18/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v90(constB21, bitIndex0) | v100(constB22) | (~v90(constB22, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex0)))),
% 24.18/15.90 inference(transitivity,[status(thm)],[4942, 4940])).
% 24.18/15.90 tff(4944,plain,
% 24.18/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v90(constB21, bitIndex0) | v100(constB22) | (~v90(constB22, bitIndex0)))),
% 24.18/15.90 inference(quant_inst,[status(thm)],[])).
% 24.18/15.90 tff(4945,plain,
% 24.18/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex0))),
% 24.18/15.90 inference(modus_ponens,[status(thm)],[4944, 4943])).
% 24.18/15.90 tff(4946,plain,
% 24.18/15.90 (v90(constB21, bitIndex0) | v100(constB22) | (~v90(constB22, bitIndex0))),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[4945, 934, 3801])).
% 24.18/15.90 tff(4947,plain,
% 24.18/15.90 (v90(constB21, bitIndex0)),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[4946, 4936, 4939])).
% 24.18/15.90 tff(4948,plain,
% 24.18/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0)))),
% 24.18/15.90 inference(rewrite,[status(thm)],[])).
% 24.18/15.90 tff(4949,plain,
% 24.18/15.90 (((~nextState(constB20, constB21)) | v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0))) <=> (v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0)))),
% 24.18/15.90 inference(rewrite,[status(thm)],[])).
% 24.18/15.90 tff(4950,plain,
% 24.18/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0))))),
% 24.18/15.90 inference(monotonicity,[status(thm)],[4949])).
% 24.18/15.90 tff(4951,plain,
% 24.18/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0)))),
% 24.18/15.90 inference(transitivity,[status(thm)],[4950, 4948])).
% 24.18/15.90 tff(4952,plain,
% 24.18/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0)))),
% 24.18/15.90 inference(quant_inst,[status(thm)],[])).
% 24.18/15.90 tff(4953,plain,
% 24.18/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0))),
% 24.18/15.90 inference(modus_ponens,[status(thm)],[4952, 4951])).
% 24.18/15.90 tff(4954,plain,
% 24.18/15.90 (v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0))),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[4953, 934, 3632])).
% 24.18/15.90 tff(4955,plain,
% 24.18/15.90 (v90(constB20, bitIndex0) | (~v90(constB21, bitIndex0))),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[4954, 3644])).
% 24.18/15.90 tff(4956,plain,
% 24.18/15.90 (v90(constB20, bitIndex0)),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[4955, 4947])).
% 24.18/15.90 tff(4957,plain,
% 24.18/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB19, bitIndex0) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB19, bitIndex0) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex0)))),
% 24.18/15.90 inference(rewrite,[status(thm)],[])).
% 24.18/15.90 tff(4958,plain,
% 24.18/15.90 (((~nextState(constB19, constB20)) | v90(constB19, bitIndex0) | v100(constB20) | (~v90(constB20, bitIndex0))) <=> (v90(constB19, bitIndex0) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex0)))),
% 24.18/15.90 inference(rewrite,[status(thm)],[])).
% 24.18/15.90 tff(4959,plain,
% 24.18/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v90(constB19, bitIndex0) | v100(constB20) | (~v90(constB20, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB19, bitIndex0) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex0))))),
% 24.18/15.90 inference(monotonicity,[status(thm)],[4958])).
% 24.18/15.90 tff(4960,plain,
% 24.18/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v90(constB19, bitIndex0) | v100(constB20) | (~v90(constB20, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB19, bitIndex0) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex0)))),
% 24.18/15.90 inference(transitivity,[status(thm)],[4959, 4957])).
% 24.18/15.90 tff(4961,plain,
% 24.18/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v90(constB19, bitIndex0) | v100(constB20) | (~v90(constB20, bitIndex0)))),
% 24.18/15.90 inference(quant_inst,[status(thm)],[])).
% 24.18/15.90 tff(4962,plain,
% 24.18/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB19, bitIndex0) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex0))),
% 24.18/15.90 inference(modus_ponens,[status(thm)],[4961, 4960])).
% 24.18/15.90 tff(4963,plain,
% 24.18/15.90 (v90(constB19, bitIndex0) | v100(constB20) | (~v90(constB20, bitIndex0))),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[4962, 934, 3532])).
% 24.18/15.90 tff(4964,plain,
% 24.18/15.90 (v100(constB20)),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[4963, 4956, 3516])).
% 24.18/15.90 tff(4965,plain,
% 24.18/15.90 (v129(constB20, bitIndex2)),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[3727, 1845, 4964, 4938])).
% 24.18/15.90 tff(4966,plain,
% 24.18/15.90 (v127(constB19, bitIndex2)),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[3723, 4965])).
% 24.18/15.90 tff(4967,plain,
% 24.18/15.90 (v26(constB19)),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[3706, 4966])).
% 24.18/15.90 tff(4968,plain,
% 24.18/15.90 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20)))),
% 24.18/15.90 inference(rewrite,[status(thm)],[])).
% 24.18/15.90 tff(4969,plain,
% 24.18/15.90 (((~v90(constB20, bitIndex0)) | (~v100(constB20)) | v129(constB20, bitIndex0)) <=> ((~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20)))),
% 24.18/15.90 inference(rewrite,[status(thm)],[])).
% 24.18/15.90 tff(4970,plain,
% 24.18/15.90 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | (~v100(constB20)) | v129(constB20, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20))))),
% 24.18/15.90 inference(monotonicity,[status(thm)],[4969])).
% 24.18/15.90 tff(4971,plain,
% 24.18/15.90 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | (~v100(constB20)) | v129(constB20, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20)))),
% 24.18/15.90 inference(transitivity,[status(thm)],[4970, 4968])).
% 24.18/15.90 tff(4972,plain,
% 24.18/15.90 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | (~v100(constB20)) | v129(constB20, bitIndex0))),
% 24.18/15.90 inference(quant_inst,[status(thm)],[])).
% 24.18/15.90 tff(4973,plain,
% 24.18/15.90 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20))),
% 24.18/15.90 inference(modus_ponens,[status(thm)],[4972, 4971])).
% 24.18/15.90 tff(4974,plain,
% 24.18/15.90 (v129(constB20, bitIndex0)),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[4973, 1374, 4964, 4956])).
% 24.18/15.90 tff(4975,plain,
% 24.18/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0)))),
% 24.18/15.90 inference(rewrite,[status(thm)],[])).
% 24.18/15.90 tff(4976,plain,
% 24.18/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0)))),
% 24.18/15.90 inference(quant_inst,[status(thm)],[])).
% 24.18/15.90 tff(4977,plain,
% 24.18/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0))),
% 24.18/15.90 inference(modus_ponens,[status(thm)],[4976, 4975])).
% 24.18/15.90 tff(4978,plain,
% 24.18/15.90 (v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0))),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[4977, 1359, 3532])).
% 24.18/15.90 tff(4979,plain,
% 24.18/15.90 (v127(constB19, bitIndex0)),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[4978, 4974])).
% 24.18/15.90 tff(4980,plain,
% 24.18/15.90 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB19)) | (~v127(constB19, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB19)) | (~v127(constB19, bitIndex0)))),
% 24.18/15.90 inference(rewrite,[status(thm)],[])).
% 24.18/15.90 tff(4981,plain,
% 24.18/15.90 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB19)) | (~v127(constB19, bitIndex0)))),
% 24.18/15.90 inference(quant_inst,[status(thm)],[])).
% 24.18/15.90 tff(4982,plain,
% 24.18/15.90 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB19)) | (~v127(constB19, bitIndex0))),
% 24.18/15.90 inference(modus_ponens,[status(thm)],[4981, 4980])).
% 24.18/15.90 tff(4983,plain,
% 24.18/15.90 ($false),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[4982, 2189, 4979, 4967])).
% 24.18/15.90 tff(4984,plain,(v100(constB22) | (~v90(constB22, bitIndex2)) | (~v90(constB22, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 24.18/15.90 tff(4985,plain,
% 24.18/15.90 (v100(constB22)),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[4984, 4934, 4916])).
% 24.18/15.90 tff(4986,plain,
% 24.18/15.90 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB22, bitIndex2)) | v129(constB22, bitIndex2) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB22, bitIndex2)) | v129(constB22, bitIndex2) | (~v100(constB22)))),
% 24.18/15.90 inference(rewrite,[status(thm)],[])).
% 24.18/15.90 tff(4987,plain,
% 24.18/15.90 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB22, bitIndex2)) | v129(constB22, bitIndex2) | (~v100(constB22)))),
% 24.18/15.90 inference(quant_inst,[status(thm)],[])).
% 24.18/15.90 tff(4988,plain,
% 24.18/15.90 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB22, bitIndex2)) | v129(constB22, bitIndex2) | (~v100(constB22))),
% 24.18/15.90 inference(modus_ponens,[status(thm)],[4987, 4986])).
% 24.18/15.90 tff(4989,plain,
% 24.18/15.90 (v129(constB22, bitIndex2) | (~v100(constB22))),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[4988, 1845, 4934])).
% 24.18/15.90 tff(4990,plain,
% 24.18/15.90 (v129(constB22, bitIndex2)),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[4989, 4985])).
% 24.18/15.90 tff(4991,plain,
% 24.18/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex2) | (~v129(constB22, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex2) | (~v129(constB22, bitIndex2)))),
% 24.18/15.90 inference(rewrite,[status(thm)],[])).
% 24.18/15.90 tff(4992,plain,
% 24.18/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex2) | (~v129(constB22, bitIndex2)))),
% 24.18/15.90 inference(quant_inst,[status(thm)],[])).
% 24.18/15.90 tff(4993,plain,
% 24.18/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex2) | (~v129(constB22, bitIndex2))),
% 24.18/15.90 inference(modus_ponens,[status(thm)],[4992, 4991])).
% 24.18/15.90 tff(4994,plain,
% 24.18/15.90 (v127(constB21, bitIndex2) | (~v129(constB22, bitIndex2))),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[4993, 1830, 3801])).
% 24.18/15.90 tff(4995,plain,
% 24.18/15.90 (v127(constB21, bitIndex2)),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[4994, 4990])).
% 24.18/15.90 tff(4996,plain,
% 24.18/15.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB21, bitIndex2)) | v26(constB21) | v130(constB21, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB21, bitIndex2)) | v26(constB21) | v130(constB21, bitIndex2))),
% 24.18/15.90 inference(rewrite,[status(thm)],[])).
% 24.18/15.90 tff(4997,plain,
% 24.18/15.90 ((v26(constB21) | v130(constB21, bitIndex2) | (~v127(constB21, bitIndex2))) <=> ((~v127(constB21, bitIndex2)) | v26(constB21) | v130(constB21, bitIndex2))),
% 24.18/15.90 inference(rewrite,[status(thm)],[])).
% 24.18/15.90 tff(4998,plain,
% 24.18/15.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB21) | v130(constB21, bitIndex2) | (~v127(constB21, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB21, bitIndex2)) | v26(constB21) | v130(constB21, bitIndex2)))),
% 24.18/15.90 inference(monotonicity,[status(thm)],[4997])).
% 24.18/15.90 tff(4999,plain,
% 24.18/15.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB21) | v130(constB21, bitIndex2) | (~v127(constB21, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB21, bitIndex2)) | v26(constB21) | v130(constB21, bitIndex2))),
% 24.18/15.90 inference(transitivity,[status(thm)],[4998, 4996])).
% 24.18/15.90 tff(5000,plain,
% 24.18/15.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB21) | v130(constB21, bitIndex2) | (~v127(constB21, bitIndex2)))),
% 24.18/15.90 inference(quant_inst,[status(thm)],[])).
% 24.18/15.90 tff(5001,plain,
% 24.18/15.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB21, bitIndex2)) | v26(constB21) | v130(constB21, bitIndex2)),
% 24.18/15.90 inference(modus_ponens,[status(thm)],[5000, 4999])).
% 24.18/15.90 tff(5002,plain,
% 24.18/15.90 ((~v127(constB21, bitIndex2)) | v130(constB21, bitIndex2)),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[5001, 1812, 3782])).
% 24.18/15.90 tff(5003,plain,
% 24.18/15.90 (v130(constB21, bitIndex2)),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[5002, 4995])).
% 24.18/15.90 tff(5004,plain,
% 24.18/15.90 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB21)) | (~v130(constB21, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB21)) | (~v130(constB21, bitIndex2)))),
% 24.18/15.90 inference(rewrite,[status(thm)],[])).
% 24.18/15.90 tff(5005,plain,
% 24.18/15.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB21)) | (~v130(constB21, bitIndex2)))),
% 24.18/15.90 inference(quant_inst,[status(thm)],[])).
% 24.18/15.90 tff(5006,plain,
% 24.18/15.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB21)) | (~v130(constB21, bitIndex2))),
% 24.18/15.90 inference(modus_ponens,[status(thm)],[5005, 5004])).
% 24.18/15.90 tff(5007,plain,
% 24.18/15.90 (~v124(constB21)),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[5006, 4807, 5003])).
% 24.18/15.90 tff(5008,plain,
% 24.18/15.90 (v129(constB22, bitIndex0) | (~v100(constB22))),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[3951, 1374, 4916])).
% 24.18/15.90 tff(5009,plain,
% 24.18/15.90 (v129(constB22, bitIndex0)),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[5008, 4985])).
% 24.18/15.90 tff(5010,plain,
% 24.18/15.90 (v127(constB21, bitIndex0)),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[3944, 5009])).
% 24.18/15.90 tff(5011,plain,
% 24.18/15.90 (v130(constB21, bitIndex0)),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[3939, 5010])).
% 24.18/15.90 tff(5012,plain,
% 24.18/15.90 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB21)) | (~v130(constB21, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB21)) | (~v130(constB21, bitIndex0)))),
% 24.18/15.90 inference(rewrite,[status(thm)],[])).
% 24.18/15.90 tff(5013,plain,
% 24.18/15.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB21)) | (~v130(constB21, bitIndex0)))),
% 24.18/15.90 inference(quant_inst,[status(thm)],[])).
% 24.18/15.90 tff(5014,plain,
% 24.18/15.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB21)) | (~v130(constB21, bitIndex0))),
% 24.18/15.90 inference(modus_ponens,[status(thm)],[5013, 5012])).
% 24.18/15.90 tff(5015,plain,
% 24.18/15.90 (~v123(constB21)),
% 24.18/15.90 inference(unit_resolution,[status(thm)],[5014, 1617, 5011])).
% 24.18/15.90 tff(5016,assumption,(v90(constB24, bitIndex1)), introduced(assumption)).
% 24.18/15.90 tff(5017,plain,
% 24.18/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB23, bitIndex1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB23, bitIndex1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex1)))),
% 24.18/15.90 inference(rewrite,[status(thm)],[])).
% 24.18/15.90 tff(5018,plain,
% 24.18/15.90 (((~nextState(constB23, constB24)) | v90(constB23, bitIndex1) | v100(constB24) | (~v90(constB24, bitIndex1))) <=> (v90(constB23, bitIndex1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex1)))),
% 24.18/15.90 inference(rewrite,[status(thm)],[])).
% 24.18/15.90 tff(5019,plain,
% 24.18/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex1) | v100(constB24) | (~v90(constB24, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB23, bitIndex1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex1))))),
% 24.18/15.91 inference(monotonicity,[status(thm)],[5018])).
% 24.18/15.91 tff(5020,plain,
% 24.18/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex1) | v100(constB24) | (~v90(constB24, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB23, bitIndex1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex1)))),
% 24.18/15.91 inference(transitivity,[status(thm)],[5019, 5017])).
% 24.18/15.91 tff(5021,plain,
% 24.18/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex1) | v100(constB24) | (~v90(constB24, bitIndex1)))),
% 24.18/15.91 inference(quant_inst,[status(thm)],[])).
% 24.18/15.91 tff(5022,plain,
% 24.18/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB23, bitIndex1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex1))),
% 24.18/15.91 inference(modus_ponens,[status(thm)],[5021, 5020])).
% 24.18/15.91 tff(5023,plain,
% 24.18/15.91 (v90(constB23, bitIndex1) | v100(constB24) | (~v90(constB24, bitIndex1))),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5022, 913, 4012])).
% 24.18/15.91 tff(5024,plain,
% 24.18/15.91 (v90(constB23, bitIndex1)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5023, 4907, 5016])).
% 24.18/15.91 tff(5025,plain,
% 24.18/15.91 (v90(constB22, bitIndex1)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[3927, 5024])).
% 24.18/15.91 tff(5026,plain,
% 24.18/15.91 (v129(constB22, bitIndex1) | (~v100(constB22))),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[3917, 1303, 5025])).
% 24.18/15.91 tff(5027,plain,
% 24.18/15.91 (v129(constB22, bitIndex1)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5026, 4985])).
% 24.18/15.91 tff(5028,plain,
% 24.18/15.91 (v127(constB21, bitIndex1)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[3910, 5027])).
% 24.18/15.91 tff(5029,plain,
% 24.18/15.91 (v130(constB21, bitIndex1)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[3905, 5028])).
% 24.18/15.91 tff(5030,plain,
% 24.18/15.91 (~v122(constB21)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[3897, 2792, 5029])).
% 24.18/15.91 tff(5031,plain,
% 24.18/15.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB21)) | (~v130(constB21, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB21)) | (~v130(constB21, bitIndex2)))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5032,plain,
% 24.18/15.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB21)) | (~v130(constB21, bitIndex2)))),
% 24.18/15.91 inference(quant_inst,[status(thm)],[])).
% 24.18/15.91 tff(5033,plain,
% 24.18/15.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB21)) | (~v130(constB21, bitIndex2))),
% 24.18/15.91 inference(modus_ponens,[status(thm)],[5032, 5031])).
% 24.18/15.91 tff(5034,plain,
% 24.18/15.91 (~v120(constB21)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5033, 2231, 5003])).
% 24.18/15.91 tff(5035,plain,
% 24.18/15.91 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB21)) | (~v130(constB21, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB21)) | (~v130(constB21, bitIndex2)))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5036,plain,
% 24.18/15.91 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB21)) | (~v130(constB21, bitIndex2)))),
% 24.18/15.91 inference(quant_inst,[status(thm)],[])).
% 24.18/15.91 tff(5037,plain,
% 24.18/15.91 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB21)) | (~v130(constB21, bitIndex2))),
% 24.18/15.91 inference(modus_ponens,[status(thm)],[5036, 5035])).
% 24.18/15.91 tff(5038,plain,
% 24.18/15.91 (~v121(constB21)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5037, 2406, 5003])).
% 24.18/15.91 tff(5039,plain,
% 24.18/15.91 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB21)) | (~v130(constB21, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB21)) | (~v130(constB21, bitIndex1)))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5040,plain,
% 24.18/15.91 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB21)) | (~v130(constB21, bitIndex1)))),
% 24.18/15.91 inference(quant_inst,[status(thm)],[])).
% 24.18/15.91 tff(5041,plain,
% 24.18/15.91 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB21)) | (~v130(constB21, bitIndex1))),
% 24.18/15.91 inference(modus_ponens,[status(thm)],[5040, 5039])).
% 24.18/15.91 tff(5042,plain,
% 24.18/15.91 (~v119(constB21)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5041, 1256, 5029])).
% 24.18/15.91 tff(5043,plain,
% 24.18/15.91 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB21) | v120(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | (~v130(constB21, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB21) | v120(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | (~v130(constB21, bitIndex2)))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5044,plain,
% 24.18/15.91 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB21) | v120(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | (~v130(constB21, bitIndex2)))),
% 24.18/15.91 inference(quant_inst,[status(thm)],[])).
% 24.18/15.91 tff(5045,plain,
% 24.18/15.91 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB21) | v120(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | (~v130(constB21, bitIndex2))),
% 24.18/15.91 inference(modus_ponens,[status(thm)],[5044, 5043])).
% 24.18/15.91 tff(5046,plain,
% 24.18/15.91 (v119(constB21) | v120(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5045, 1798, 5003])).
% 24.18/15.91 tff(5047,plain,
% 24.18/15.91 ($false),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5046, 5042, 5038, 5034, 5030, 5015, 5007])).
% 24.18/15.91 tff(5048,plain,(v100(constB24) | (~v90(constB24, bitIndex0)) | (~v90(constB24, bitIndex1)) | (~v90(constB24, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 24.18/15.91 tff(5049,plain,
% 24.18/15.91 (v100(constB24)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5048, 4905, 4896, 4879])).
% 24.18/15.91 tff(5050,plain,
% 24.18/15.91 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB24, bitIndex2)) | v129(constB24, bitIndex2) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB24, bitIndex2)) | v129(constB24, bitIndex2) | (~v100(constB24)))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5051,plain,
% 24.18/15.91 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB24, bitIndex2)) | v129(constB24, bitIndex2) | (~v100(constB24)))),
% 24.18/15.91 inference(quant_inst,[status(thm)],[])).
% 24.18/15.91 tff(5052,plain,
% 24.18/15.91 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB24, bitIndex2)) | v129(constB24, bitIndex2) | (~v100(constB24))),
% 24.18/15.91 inference(modus_ponens,[status(thm)],[5051, 5050])).
% 24.18/15.91 tff(5053,plain,
% 24.18/15.91 (v129(constB24, bitIndex2) | (~v100(constB24))),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5052, 1845, 4879])).
% 24.18/15.91 tff(5054,plain,
% 24.18/15.91 (v129(constB24, bitIndex2)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5053, 5049])).
% 24.18/15.91 tff(5055,plain,
% 24.18/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB23, constB24)) | v127(constB23, bitIndex2) | (~v129(constB24, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB23, constB24)) | v127(constB23, bitIndex2) | (~v129(constB24, bitIndex2)))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5056,plain,
% 24.18/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB23, constB24)) | v127(constB23, bitIndex2) | (~v129(constB24, bitIndex2)))),
% 24.18/15.91 inference(quant_inst,[status(thm)],[])).
% 24.18/15.91 tff(5057,plain,
% 24.18/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB23, constB24)) | v127(constB23, bitIndex2) | (~v129(constB24, bitIndex2))),
% 24.18/15.91 inference(modus_ponens,[status(thm)],[5056, 5055])).
% 24.18/15.91 tff(5058,plain,
% 24.18/15.91 (v127(constB23, bitIndex2) | (~v129(constB24, bitIndex2))),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5057, 1830, 4012])).
% 24.18/15.91 tff(5059,plain,
% 24.18/15.91 (v127(constB23, bitIndex2)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5058, 5054])).
% 24.18/15.91 tff(5060,plain,
% 24.18/15.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB23, bitIndex2)) | v26(constB23) | v130(constB23, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB23, bitIndex2)) | v26(constB23) | v130(constB23, bitIndex2))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5061,plain,
% 24.18/15.91 ((v26(constB23) | v130(constB23, bitIndex2) | (~v127(constB23, bitIndex2))) <=> ((~v127(constB23, bitIndex2)) | v26(constB23) | v130(constB23, bitIndex2))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5062,plain,
% 24.18/15.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB23) | v130(constB23, bitIndex2) | (~v127(constB23, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB23, bitIndex2)) | v26(constB23) | v130(constB23, bitIndex2)))),
% 24.18/15.91 inference(monotonicity,[status(thm)],[5061])).
% 24.18/15.91 tff(5063,plain,
% 24.18/15.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB23) | v130(constB23, bitIndex2) | (~v127(constB23, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB23, bitIndex2)) | v26(constB23) | v130(constB23, bitIndex2))),
% 24.18/15.91 inference(transitivity,[status(thm)],[5062, 5060])).
% 24.18/15.91 tff(5064,plain,
% 24.18/15.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB23) | v130(constB23, bitIndex2) | (~v127(constB23, bitIndex2)))),
% 24.18/15.91 inference(quant_inst,[status(thm)],[])).
% 24.18/15.91 tff(5065,plain,
% 24.18/15.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB23, bitIndex2)) | v26(constB23) | v130(constB23, bitIndex2)),
% 24.18/15.91 inference(modus_ponens,[status(thm)],[5064, 5063])).
% 24.18/15.91 tff(5066,plain,
% 24.18/15.91 ((~v127(constB23, bitIndex2)) | v130(constB23, bitIndex2)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5065, 1812, 3994])).
% 24.18/15.91 tff(5067,plain,
% 24.18/15.91 (v130(constB23, bitIndex2)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5066, 5059])).
% 24.18/15.91 tff(5068,plain,
% 24.18/15.91 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB23)) | (~v130(constB23, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB23)) | (~v130(constB23, bitIndex2)))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5069,plain,
% 24.18/15.91 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB23)) | (~v130(constB23, bitIndex2)))),
% 24.18/15.91 inference(quant_inst,[status(thm)],[])).
% 24.18/15.91 tff(5070,plain,
% 24.18/15.91 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB23)) | (~v130(constB23, bitIndex2))),
% 24.18/15.91 inference(modus_ponens,[status(thm)],[5069, 5068])).
% 24.18/15.91 tff(5071,plain,
% 24.18/15.91 (~v124(constB23)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5070, 4807, 5067])).
% 24.18/15.91 tff(5072,plain,
% 24.18/15.91 (v129(constB24, bitIndex0) | (~v100(constB24))),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[4149, 1374, 4905])).
% 24.18/15.91 tff(5073,plain,
% 24.18/15.91 (v129(constB24, bitIndex0)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5072, 5049])).
% 24.18/15.91 tff(5074,plain,
% 24.18/15.91 (v127(constB23, bitIndex0)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[4142, 5073])).
% 24.18/15.91 tff(5075,plain,
% 24.18/15.91 (v130(constB23, bitIndex0)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[4137, 5074])).
% 24.18/15.91 tff(5076,plain,
% 24.18/15.91 (~v123(constB23)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[4129, 1617, 5075])).
% 24.18/15.91 tff(5077,plain,
% 24.18/15.91 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB24, bitIndex1)) | v129(constB24, bitIndex1) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | v129(constB24, bitIndex1) | (~v100(constB24)))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5078,plain,
% 24.18/15.91 (((~v90(constB24, bitIndex1)) | (~v100(constB24)) | v129(constB24, bitIndex1)) <=> ((~v90(constB24, bitIndex1)) | v129(constB24, bitIndex1) | (~v100(constB24)))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5079,plain,
% 24.18/15.91 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB24, bitIndex1)) | (~v100(constB24)) | v129(constB24, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB24, bitIndex1)) | v129(constB24, bitIndex1) | (~v100(constB24))))),
% 24.18/15.91 inference(monotonicity,[status(thm)],[5078])).
% 24.18/15.91 tff(5080,plain,
% 24.18/15.91 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB24, bitIndex1)) | (~v100(constB24)) | v129(constB24, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | v129(constB24, bitIndex1) | (~v100(constB24)))),
% 24.18/15.91 inference(transitivity,[status(thm)],[5079, 5077])).
% 24.18/15.91 tff(5081,plain,
% 24.18/15.91 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB24, bitIndex1)) | (~v100(constB24)) | v129(constB24, bitIndex1))),
% 24.18/15.91 inference(quant_inst,[status(thm)],[])).
% 24.18/15.91 tff(5082,plain,
% 24.18/15.91 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | v129(constB24, bitIndex1) | (~v100(constB24))),
% 24.18/15.91 inference(modus_ponens,[status(thm)],[5081, 5080])).
% 24.18/15.91 tff(5083,plain,
% 24.18/15.91 (v129(constB24, bitIndex1) | (~v100(constB24))),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5082, 1303, 4896])).
% 24.18/15.91 tff(5084,plain,
% 24.18/15.91 (v129(constB24, bitIndex1)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5083, 5049])).
% 24.18/15.91 tff(5085,plain,
% 24.18/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB23, constB24)) | v127(constB23, bitIndex1) | (~v129(constB24, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB23, constB24)) | v127(constB23, bitIndex1) | (~v129(constB24, bitIndex1)))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5086,plain,
% 24.18/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB23, constB24)) | v127(constB23, bitIndex1) | (~v129(constB24, bitIndex1)))),
% 24.18/15.91 inference(quant_inst,[status(thm)],[])).
% 24.18/15.91 tff(5087,plain,
% 24.18/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB23, constB24)) | v127(constB23, bitIndex1) | (~v129(constB24, bitIndex1))),
% 24.18/15.91 inference(modus_ponens,[status(thm)],[5086, 5085])).
% 24.18/15.91 tff(5088,plain,
% 24.18/15.91 (v127(constB23, bitIndex1) | (~v129(constB24, bitIndex1))),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5087, 1288, 4012])).
% 24.18/15.91 tff(5089,plain,
% 24.18/15.91 (v127(constB23, bitIndex1)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5088, 5084])).
% 24.18/15.91 tff(5090,plain,
% 24.18/15.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB23, bitIndex1)) | v26(constB23) | v130(constB23, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB23, bitIndex1)) | v26(constB23) | v130(constB23, bitIndex1))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5091,plain,
% 24.18/15.91 ((v26(constB23) | v130(constB23, bitIndex1) | (~v127(constB23, bitIndex1))) <=> ((~v127(constB23, bitIndex1)) | v26(constB23) | v130(constB23, bitIndex1))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5092,plain,
% 24.18/15.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB23) | v130(constB23, bitIndex1) | (~v127(constB23, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB23, bitIndex1)) | v26(constB23) | v130(constB23, bitIndex1)))),
% 24.18/15.91 inference(monotonicity,[status(thm)],[5091])).
% 24.18/15.91 tff(5093,plain,
% 24.18/15.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB23) | v130(constB23, bitIndex1) | (~v127(constB23, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB23, bitIndex1)) | v26(constB23) | v130(constB23, bitIndex1))),
% 24.18/15.91 inference(transitivity,[status(thm)],[5092, 5090])).
% 24.18/15.91 tff(5094,plain,
% 24.18/15.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB23) | v130(constB23, bitIndex1) | (~v127(constB23, bitIndex1)))),
% 24.18/15.91 inference(quant_inst,[status(thm)],[])).
% 24.18/15.91 tff(5095,plain,
% 24.18/15.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB23, bitIndex1)) | v26(constB23) | v130(constB23, bitIndex1)),
% 24.18/15.91 inference(modus_ponens,[status(thm)],[5094, 5093])).
% 24.18/15.91 tff(5096,plain,
% 24.18/15.91 ((~v127(constB23, bitIndex1)) | v130(constB23, bitIndex1)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5095, 1270, 3994])).
% 24.18/15.91 tff(5097,plain,
% 24.18/15.91 (v130(constB23, bitIndex1)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5096, 5089])).
% 24.18/15.91 tff(5098,plain,
% 24.18/15.91 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB23)) | (~v130(constB23, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB23)) | (~v130(constB23, bitIndex1)))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5099,plain,
% 24.18/15.91 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB23)) | (~v130(constB23, bitIndex1)))),
% 24.18/15.91 inference(quant_inst,[status(thm)],[])).
% 24.18/15.91 tff(5100,plain,
% 24.18/15.91 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB23)) | (~v130(constB23, bitIndex1))),
% 24.18/15.91 inference(modus_ponens,[status(thm)],[5099, 5098])).
% 24.18/15.91 tff(5101,plain,
% 24.18/15.91 (~v122(constB23)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5100, 2792, 5097])).
% 24.18/15.91 tff(5102,plain,
% 24.18/15.91 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB23)) | (~v130(constB23, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB23)) | (~v130(constB23, bitIndex2)))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5103,plain,
% 24.18/15.91 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB23)) | (~v130(constB23, bitIndex2)))),
% 24.18/15.91 inference(quant_inst,[status(thm)],[])).
% 24.18/15.91 tff(5104,plain,
% 24.18/15.91 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB23)) | (~v130(constB23, bitIndex2))),
% 24.18/15.91 inference(modus_ponens,[status(thm)],[5103, 5102])).
% 24.18/15.91 tff(5105,plain,
% 24.18/15.91 (~v121(constB23)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5104, 2406, 5067])).
% 24.18/15.91 tff(5106,plain,
% 24.18/15.91 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB23)) | (~v130(constB23, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB23)) | (~v130(constB23, bitIndex1)))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5107,plain,
% 24.18/15.91 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB23)) | (~v130(constB23, bitIndex1)))),
% 24.18/15.91 inference(quant_inst,[status(thm)],[])).
% 24.18/15.91 tff(5108,plain,
% 24.18/15.91 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB23)) | (~v130(constB23, bitIndex1))),
% 24.18/15.91 inference(modus_ponens,[status(thm)],[5107, 5106])).
% 24.18/15.91 tff(5109,plain,
% 24.18/15.91 (~v119(constB23)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5108, 1256, 5097])).
% 24.18/15.91 tff(5110,plain,
% 24.18/15.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB23)) | (~v130(constB23, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB23)) | (~v130(constB23, bitIndex2)))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5111,plain,
% 24.18/15.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB23)) | (~v130(constB23, bitIndex2)))),
% 24.18/15.91 inference(quant_inst,[status(thm)],[])).
% 24.18/15.91 tff(5112,plain,
% 24.18/15.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB23)) | (~v130(constB23, bitIndex2))),
% 24.18/15.91 inference(modus_ponens,[status(thm)],[5111, 5110])).
% 24.18/15.91 tff(5113,plain,
% 24.18/15.91 (~v120(constB23)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5112, 2231, 5067])).
% 24.18/15.91 tff(5114,plain,
% 24.18/15.91 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB23) | v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | (~v130(constB23, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB23) | v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | (~v130(constB23, bitIndex1)))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5115,plain,
% 24.18/15.91 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB23) | v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | (~v130(constB23, bitIndex1)))),
% 24.18/15.91 inference(quant_inst,[status(thm)],[])).
% 24.18/15.91 tff(5116,plain,
% 24.18/15.91 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB23) | v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | (~v130(constB23, bitIndex1))),
% 24.18/15.91 inference(modus_ponens,[status(thm)],[5115, 5114])).
% 24.18/15.91 tff(5117,plain,
% 24.18/15.91 (v119(constB23) | v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5116, 1887, 5097])).
% 24.18/15.91 tff(5118,plain,
% 24.18/15.91 ($false),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5117, 5113, 5109, 5105, 5101, 5076, 5071])).
% 24.18/15.91 tff(5119,plain,(v100(constB28)), inference(lemma,lemma(discharge,[]))).
% 24.18/15.91 tff(5120,plain,
% 24.18/15.91 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5121,plain,
% 24.18/15.91 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))),
% 24.18/15.91 inference(quant_inst,[status(thm)],[])).
% 24.18/15.91 tff(5122,plain,
% 24.18/15.91 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28))),
% 24.18/15.91 inference(modus_ponens,[status(thm)],[5121, 5120])).
% 24.18/15.91 tff(5123,plain,
% 24.18/15.91 ((~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5122, 1845, 5119])).
% 24.18/15.91 tff(5124,plain,
% 24.18/15.91 (~v90(constB28, bitIndex2)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5123, 4394])).
% 24.18/15.91 tff(5125,plain,
% 24.18/15.91 ((~v1(constB29)) <=> (~v1(constB29))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5126,axiom,(~v1(constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_29_1_1')).
% 24.18/15.91 tff(5127,plain,
% 24.18/15.91 (~v1(constB29)),
% 24.18/15.91 inference(modus_ponens,[status(thm)],[5126, 5125])).
% 24.18/15.91 tff(5128,plain,
% 24.18/15.91 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5129,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_28_1')).
% 24.18/15.91 tff(5130,plain,
% 24.18/15.91 (nextState(constB28, constB29)),
% 24.18/15.91 inference(modus_ponens,[status(thm)],[5129, 5128])).
% 24.18/15.91 tff(5131,plain,
% 24.18/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5132,plain,
% 24.18/15.91 (((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29)) <=> (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5133,plain,
% 24.18/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29))))),
% 24.18/15.91 inference(monotonicity,[status(thm)],[5132])).
% 24.18/15.91 tff(5134,plain,
% 24.18/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 24.18/15.91 inference(transitivity,[status(thm)],[5133, 5131])).
% 24.18/15.91 tff(5135,plain,
% 24.18/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))),
% 24.18/15.91 inference(quant_inst,[status(thm)],[])).
% 24.18/15.91 tff(5136,plain,
% 24.18/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29))),
% 24.18/15.91 inference(modus_ponens,[status(thm)],[5135, 5134])).
% 24.18/15.91 tff(5137,plain,
% 24.18/15.91 (~v101(constB29)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5136, 860, 5130, 5127])).
% 24.18/15.91 tff(5138,plain,
% 24.18/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5139,plain,
% 24.18/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))),
% 24.18/15.91 inference(quant_inst,[status(thm)],[])).
% 24.18/15.91 tff(5140,plain,
% 24.18/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29))),
% 24.18/15.91 inference(modus_ponens,[status(thm)],[5139, 5138])).
% 24.18/15.91 tff(5141,plain,
% 24.18/15.91 (v101(constB29) | (~v100(constB29))),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5140, 877, 5130])).
% 24.18/15.91 tff(5142,plain,
% 24.18/15.91 (~v100(constB29)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5141, 5137])).
% 24.18/15.91 tff(5143,plain,
% 24.18/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5144,plain,
% 24.18/15.91 (((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2))) <=> (v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5145,plain,
% 24.18/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2))))),
% 24.18/15.91 inference(monotonicity,[status(thm)],[5144])).
% 24.18/15.91 tff(5146,plain,
% 24.18/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 24.18/15.91 inference(transitivity,[status(thm)],[5145, 5143])).
% 24.18/15.91 tff(5147,plain,
% 24.18/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 24.18/15.91 inference(quant_inst,[status(thm)],[])).
% 24.18/15.91 tff(5148,plain,
% 24.18/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2))),
% 24.18/15.91 inference(modus_ponens,[status(thm)],[5147, 5146])).
% 24.18/15.91 tff(5149,plain,
% 24.18/15.91 (v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2))),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5148, 892, 5130])).
% 24.18/15.91 tff(5150,plain,
% 24.18/15.91 (v90(constB28, bitIndex2) | (~v90(constB29, bitIndex2))),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5149, 5142])).
% 24.18/15.91 tff(5151,plain,
% 24.18/15.91 (~v90(constB29, bitIndex2)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5150, 5124])).
% 24.18/15.91 tff(5152,plain,
% 24.18/15.91 (v130(constB27, bitIndex1)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[4636, 2034, 4370])).
% 24.18/15.91 tff(5153,plain,
% 24.18/15.91 (v127(constB27, bitIndex1)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[4632, 5152])).
% 24.18/15.91 tff(5154,plain,
% 24.18/15.91 (v129(constB28, bitIndex1)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[4627, 5153])).
% 24.18/15.91 tff(5155,plain,
% 24.18/15.91 (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1))),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[4621, 1583, 5119])).
% 24.18/15.91 tff(5156,plain,
% 24.18/15.91 (v90(constB28, bitIndex1)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5155, 5154])).
% 24.18/15.91 tff(5157,plain,
% 24.18/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5158,plain,
% 24.18/15.91 (((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1)) <=> ((~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))),
% 24.18/15.91 inference(rewrite,[status(thm)],[])).
% 24.18/15.91 tff(5159,plain,
% 24.18/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1)))),
% 24.18/15.91 inference(monotonicity,[status(thm)],[5158])).
% 24.18/15.91 tff(5160,plain,
% 24.18/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))),
% 24.18/15.91 inference(transitivity,[status(thm)],[5159, 5157])).
% 24.18/15.91 tff(5161,plain,
% 24.18/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1))),
% 24.18/15.91 inference(quant_inst,[status(thm)],[])).
% 24.18/15.91 tff(5162,plain,
% 24.18/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1)),
% 24.18/15.91 inference(modus_ponens,[status(thm)],[5161, 5160])).
% 24.18/15.91 tff(5163,plain,
% 24.18/15.91 ((~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5162, 1601, 5130])).
% 24.18/15.91 tff(5164,plain,
% 24.18/15.91 ((~v90(constB28, bitIndex1)) | v90(constB29, bitIndex1)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5163, 5142])).
% 24.18/15.91 tff(5165,plain,
% 24.18/15.91 (v90(constB29, bitIndex1)),
% 24.18/15.91 inference(unit_resolution,[status(thm)],[5164, 5156])).
% 24.18/15.91 tff(5166,plain,
% 24.18/15.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB27)) | (~v130(constB27, bitIndex0)))),
% 24.18/15.92 inference(rewrite,[status(thm)],[])).
% 24.18/15.92 tff(5167,plain,
% 24.18/15.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex0)))),
% 24.18/15.92 inference(quant_inst,[status(thm)],[])).
% 24.18/15.92 tff(5168,plain,
% 24.18/15.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB27)) | (~v130(constB27, bitIndex0))),
% 24.18/15.92 inference(modus_ponens,[status(thm)],[5167, 5166])).
% 24.18/15.92 tff(5169,plain,
% 24.18/15.92 (~v130(constB27, bitIndex0)),
% 24.18/15.92 inference(unit_resolution,[status(thm)],[5168, 2023, 4370])).
% 24.18/15.92 tff(5170,plain,
% 24.18/15.92 (~v127(constB27, bitIndex0)),
% 24.18/15.92 inference(unit_resolution,[status(thm)],[4567, 5169])).
% 24.18/15.92 tff(5171,plain,
% 24.18/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0)))),
% 24.18/15.92 inference(rewrite,[status(thm)],[])).
% 24.18/15.92 tff(5172,plain,
% 24.18/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0)))),
% 24.18/15.92 inference(quant_inst,[status(thm)],[])).
% 24.18/15.92 tff(5173,plain,
% 24.18/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0))),
% 24.18/15.92 inference(modus_ponens,[status(thm)],[5172, 5171])).
% 24.18/15.92 tff(5174,plain,
% 24.18/15.92 (v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0))),
% 24.18/15.92 inference(unit_resolution,[status(thm)],[5173, 1359, 4389])).
% 24.18/15.92 tff(5175,plain,
% 24.18/15.92 (~v129(constB28, bitIndex0)),
% 24.18/15.92 inference(unit_resolution,[status(thm)],[5174, 5170])).
% 24.18/15.92 tff(5176,plain,
% 24.18/15.92 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))),
% 24.18/15.92 inference(rewrite,[status(thm)],[])).
% 24.18/15.92 tff(5177,plain,
% 24.18/15.92 (((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0)) <=> ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))),
% 24.18/15.92 inference(rewrite,[status(thm)],[])).
% 24.18/15.92 tff(5178,plain,
% 24.18/15.92 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28))))),
% 24.18/15.92 inference(monotonicity,[status(thm)],[5177])).
% 24.18/15.92 tff(5179,plain,
% 24.18/15.92 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))),
% 24.18/15.92 inference(transitivity,[status(thm)],[5178, 5176])).
% 24.18/15.92 tff(5180,plain,
% 24.18/15.92 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0))),
% 24.18/15.92 inference(quant_inst,[status(thm)],[])).
% 24.18/15.92 tff(5181,plain,
% 24.18/15.92 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28))),
% 24.21/15.92 inference(modus_ponens,[status(thm)],[5180, 5179])).
% 24.21/15.92 tff(5182,plain,
% 24.21/15.92 ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0)),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5181, 1374, 5119])).
% 24.21/15.92 tff(5183,plain,
% 24.21/15.92 (~v90(constB28, bitIndex0)),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5182, 5175])).
% 24.21/15.92 tff(5184,plain,
% 24.21/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5185,plain,
% 24.21/15.92 (((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0))) <=> (v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5186,plain,
% 24.21/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0))))),
% 24.21/15.92 inference(monotonicity,[status(thm)],[5185])).
% 24.21/15.92 tff(5187,plain,
% 24.21/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 24.21/15.92 inference(transitivity,[status(thm)],[5186, 5184])).
% 24.21/15.92 tff(5188,plain,
% 24.21/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 24.21/15.92 inference(quant_inst,[status(thm)],[])).
% 24.21/15.92 tff(5189,plain,
% 24.21/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0))),
% 24.21/15.92 inference(modus_ponens,[status(thm)],[5188, 5187])).
% 24.21/15.92 tff(5190,plain,
% 24.21/15.92 (v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0))),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5189, 934, 5130])).
% 24.21/15.92 tff(5191,plain,
% 24.21/15.92 (v90(constB28, bitIndex0) | (~v90(constB29, bitIndex0))),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5190, 5142])).
% 24.21/15.92 tff(5192,plain,
% 24.21/15.92 (~v90(constB29, bitIndex0)),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5191, 5183])).
% 24.21/15.92 tff(5193,plain,
% 24.21/15.92 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5194,plain,
% 24.21/15.92 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29))),
% 24.21/15.92 inference(quant_inst,[status(thm)],[])).
% 24.21/15.92 tff(5195,plain,
% 24.21/15.92 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29)),
% 24.21/15.92 inference(modus_ponens,[status(thm)],[5194, 5193])).
% 24.21/15.92 tff(5196,plain,
% 24.21/15.92 (v121(constB29)),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5195, 2145, 5192, 5165, 5151])).
% 24.21/15.92 tff(5197,plain,
% 24.21/15.92 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB29)) | v117(constB29))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB29)) | v117(constB29))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5198,plain,
% 24.21/15.92 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB29)) | v117(constB29))),
% 24.21/15.92 inference(quant_inst,[status(thm)],[])).
% 24.21/15.92 tff(5199,plain,
% 24.21/15.92 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB29)) | v117(constB29)),
% 24.21/15.92 inference(modus_ponens,[status(thm)],[5198, 5197])).
% 24.21/15.92 tff(5200,plain,
% 24.21/15.92 (v117(constB29)),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5199, 2102, 5196])).
% 24.21/15.92 tff(5201,plain,
% 24.21/15.92 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB29) | (~v117(constB29)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB29) | (~v117(constB29)))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5202,plain,
% 24.21/15.92 (((~v117(constB29)) | v116(constB29)) <=> (v116(constB29) | (~v117(constB29)))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5203,plain,
% 24.21/15.92 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB29)) | v116(constB29))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB29) | (~v117(constB29))))),
% 24.21/15.92 inference(monotonicity,[status(thm)],[5202])).
% 24.21/15.92 tff(5204,plain,
% 24.21/15.92 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB29)) | v116(constB29))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB29) | (~v117(constB29)))),
% 24.21/15.92 inference(transitivity,[status(thm)],[5203, 5201])).
% 24.21/15.92 tff(5205,plain,
% 24.21/15.92 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB29)) | v116(constB29))),
% 24.21/15.92 inference(quant_inst,[status(thm)],[])).
% 24.21/15.92 tff(5206,plain,
% 24.21/15.92 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB29) | (~v117(constB29))),
% 24.21/15.92 inference(modus_ponens,[status(thm)],[5205, 5204])).
% 24.21/15.92 tff(5207,plain,
% 24.21/15.92 (v116(constB29)),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5206, 994, 5200])).
% 24.21/15.92 tff(5208,plain,
% 24.21/15.92 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB29)) | v115(constB29))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB29)) | v115(constB29))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5209,plain,
% 24.21/15.92 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB29)) | v115(constB29))),
% 24.21/15.92 inference(quant_inst,[status(thm)],[])).
% 24.21/15.92 tff(5210,plain,
% 24.21/15.92 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB29)) | v115(constB29)),
% 24.21/15.92 inference(modus_ponens,[status(thm)],[5209, 5208])).
% 24.21/15.92 tff(5211,plain,
% 24.21/15.92 (v115(constB29)),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5210, 1008, 5207])).
% 24.21/15.92 tff(5212,plain,
% 24.21/15.92 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB29) | (~v115(constB29)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB29) | (~v115(constB29)))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5213,plain,
% 24.21/15.92 (((~v115(constB29)) | v114(constB29)) <=> (v114(constB29) | (~v115(constB29)))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5214,plain,
% 24.21/15.92 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB29)) | v114(constB29))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB29) | (~v115(constB29))))),
% 24.21/15.92 inference(monotonicity,[status(thm)],[5213])).
% 24.21/15.92 tff(5215,plain,
% 24.21/15.92 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB29)) | v114(constB29))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB29) | (~v115(constB29)))),
% 24.21/15.92 inference(transitivity,[status(thm)],[5214, 5212])).
% 24.21/15.92 tff(5216,plain,
% 24.21/15.92 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB29)) | v114(constB29))),
% 24.21/15.92 inference(quant_inst,[status(thm)],[])).
% 24.21/15.92 tff(5217,plain,
% 24.21/15.92 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB29) | (~v115(constB29))),
% 24.21/15.92 inference(modus_ponens,[status(thm)],[5216, 5215])).
% 24.21/15.92 tff(5218,plain,
% 24.21/15.92 (v114(constB29)),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5217, 1022, 5211])).
% 24.21/15.92 tff(5219,plain,
% 24.21/15.92 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB29) | (~v114(constB29)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB29) | (~v114(constB29)))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5220,plain,
% 24.21/15.92 (((~v114(constB29)) | v113(constB29)) <=> (v113(constB29) | (~v114(constB29)))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5221,plain,
% 24.21/15.92 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB29)) | v113(constB29))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB29) | (~v114(constB29))))),
% 24.21/15.92 inference(monotonicity,[status(thm)],[5220])).
% 24.21/15.92 tff(5222,plain,
% 24.21/15.92 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB29)) | v113(constB29))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB29) | (~v114(constB29)))),
% 24.21/15.92 inference(transitivity,[status(thm)],[5221, 5219])).
% 24.21/15.92 tff(5223,plain,
% 24.21/15.92 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB29)) | v113(constB29))),
% 24.21/15.92 inference(quant_inst,[status(thm)],[])).
% 24.21/15.92 tff(5224,plain,
% 24.21/15.92 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB29) | (~v114(constB29))),
% 24.21/15.92 inference(modus_ponens,[status(thm)],[5223, 5222])).
% 24.21/15.92 tff(5225,plain,
% 24.21/15.92 (v113(constB29)),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5224, 1036, 5218])).
% 24.21/15.92 tff(5226,assumption,(v26(constB29)), introduced(assumption)).
% 24.21/15.92 tff(5227,plain,
% 24.21/15.92 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB29))),
% 24.21/15.92 inference(quant_inst,[status(thm)],[])).
% 24.21/15.92 tff(5228,plain,
% 24.21/15.92 ($false),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5227, 797, 5226])).
% 24.21/15.92 tff(5229,plain,(~v26(constB29)), inference(lemma,lemma(discharge,[]))).
% 24.21/15.92 tff(5230,plain,
% 24.21/15.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | (~v113(constB29)) | v112(constB29))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5231,plain,
% 24.21/15.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))),
% 24.21/15.92 inference(quant_inst,[status(thm)],[])).
% 24.21/15.92 tff(5232,plain,
% 24.21/15.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | (~v113(constB29)) | v112(constB29)),
% 24.21/15.92 inference(modus_ponens,[status(thm)],[5231, 5230])).
% 24.21/15.92 tff(5233,plain,
% 24.21/15.92 ((~v113(constB29)) | v112(constB29)),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5232, 1050, 5229])).
% 24.21/15.92 tff(5234,plain,
% 24.21/15.92 (v112(constB29)),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5233, 5225])).
% 24.21/15.92 tff(5235,plain,
% 24.21/15.92 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB29) | (~v112(constB29)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v112(constB29)))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5236,plain,
% 24.21/15.92 (((~v112(constB29)) | v108(constB29)) <=> (v108(constB29) | (~v112(constB29)))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5237,plain,
% 24.21/15.92 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB29)) | v108(constB29))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB29) | (~v112(constB29))))),
% 24.21/15.92 inference(monotonicity,[status(thm)],[5236])).
% 24.21/15.92 tff(5238,plain,
% 24.21/15.92 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB29)) | v108(constB29))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v112(constB29)))),
% 24.21/15.92 inference(transitivity,[status(thm)],[5237, 5235])).
% 24.21/15.92 tff(5239,plain,
% 24.21/15.92 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB29)) | v108(constB29))),
% 24.21/15.92 inference(quant_inst,[status(thm)],[])).
% 24.21/15.92 tff(5240,plain,
% 24.21/15.92 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v112(constB29))),
% 24.21/15.92 inference(modus_ponens,[status(thm)],[5239, 5238])).
% 24.21/15.92 tff(5241,plain,
% 24.21/15.92 (v108(constB29)),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5240, 1062, 5234])).
% 24.21/15.92 tff(5242,plain,
% 24.21/15.92 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5243,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_29_1')).
% 24.21/15.92 tff(5244,plain,
% 24.21/15.92 (nextState(constB29, constB30)),
% 24.21/15.92 inference(modus_ponens,[status(thm)],[5243, 5242])).
% 24.21/15.92 tff(5245,plain,
% 24.21/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5246,plain,
% 24.21/15.92 (((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30)) <=> ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5247,plain,
% 24.21/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29))))),
% 24.21/15.92 inference(monotonicity,[status(thm)],[5246])).
% 24.21/15.92 tff(5248,plain,
% 24.21/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 24.21/15.92 inference(transitivity,[status(thm)],[5247, 5245])).
% 24.21/15.92 tff(5249,plain,
% 24.21/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))),
% 24.21/15.92 inference(quant_inst,[status(thm)],[])).
% 24.21/15.92 tff(5250,plain,
% 24.21/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29))),
% 24.21/15.92 inference(modus_ponens,[status(thm)],[5249, 5248])).
% 24.21/15.92 tff(5251,plain,
% 24.21/15.92 (v110(constB30) | (~v108(constB29))),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5250, 1082, 5244])).
% 24.21/15.92 tff(5252,plain,
% 24.21/15.92 (v110(constB30)),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5251, 5241])).
% 24.21/15.92 tff(5253,plain,
% 24.21/15.92 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5254,plain,
% 24.21/15.92 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))),
% 24.21/15.92 inference(quant_inst,[status(thm)],[])).
% 24.21/15.92 tff(5255,plain,
% 24.21/15.92 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30))),
% 24.21/15.92 inference(modus_ponens,[status(thm)],[5254, 5253])).
% 24.21/15.92 tff(5256,plain,
% 24.21/15.92 (~v104(constB30)),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5255, 1100, 5244, 5127])).
% 24.21/15.92 tff(5257,plain,
% 24.21/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5258,plain,
% 24.21/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))),
% 24.21/15.92 inference(quant_inst,[status(thm)],[])).
% 24.21/15.92 tff(5259,plain,
% 24.21/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v102(constB30) | v104(constB30)),
% 24.21/15.92 inference(modus_ponens,[status(thm)],[5258, 5257])).
% 24.21/15.92 tff(5260,plain,
% 24.21/15.92 (v102(constB30) | v104(constB30)),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5259, 1114, 5244])).
% 24.21/15.92 tff(5261,plain,
% 24.21/15.92 (v102(constB30)),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5260, 5256])).
% 24.21/15.92 tff(5262,plain,
% 24.21/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5263,plain,
% 24.21/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))),
% 24.21/15.92 inference(quant_inst,[status(thm)],[])).
% 24.21/15.92 tff(5264,plain,
% 24.21/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30))),
% 24.21/15.92 inference(modus_ponens,[status(thm)],[5263, 5262])).
% 24.21/15.92 tff(5265,plain,
% 24.21/15.92 (v101(constB30) | (~v102(constB30))),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5264, 1129, 5244, 372])).
% 24.21/15.92 tff(5266,plain,
% 24.21/15.92 (v101(constB30)),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5265, 5261])).
% 24.21/15.92 tff(5267,plain,
% 24.21/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5268,plain,
% 24.21/15.92 (((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30)) <=> ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5269,plain,
% 24.21/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30))))),
% 24.21/15.92 inference(monotonicity,[status(thm)],[5268])).
% 24.21/15.92 tff(5270,plain,
% 24.21/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 24.21/15.92 inference(transitivity,[status(thm)],[5269, 5267])).
% 24.21/15.92 tff(5271,plain,
% 24.21/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))),
% 24.21/15.92 inference(quant_inst,[status(thm)],[])).
% 24.21/15.92 tff(5272,plain,
% 24.21/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 24.21/15.92 inference(modus_ponens,[status(thm)],[5271, 5270])).
% 24.21/15.92 tff(5273,plain,
% 24.21/15.92 (v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5272, 1144, 5244])).
% 24.21/15.92 tff(5274,plain,
% 24.21/15.92 (v100(constB30) | (~v110(constB30))),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5273, 5266])).
% 24.21/15.92 tff(5275,plain,
% 24.21/15.92 (v100(constB30)),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5274, 5252])).
% 24.21/15.92 tff(5276,plain,
% 24.21/15.92 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB29)) | (~v130(constB29, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB29)) | (~v130(constB29, bitIndex2)))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5277,plain,
% 24.21/15.92 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB29)) | (~v130(constB29, bitIndex2)))),
% 24.21/15.92 inference(quant_inst,[status(thm)],[])).
% 24.21/15.92 tff(5278,plain,
% 24.21/15.92 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB29)) | (~v130(constB29, bitIndex2))),
% 24.21/15.92 inference(modus_ponens,[status(thm)],[5277, 5276])).
% 24.21/15.92 tff(5279,plain,
% 24.21/15.92 (~v130(constB29, bitIndex2)),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5278, 2406, 5196])).
% 24.21/15.92 tff(5280,plain,
% 24.21/15.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5281,plain,
% 24.21/15.92 ((v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2))) <=> ((~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5282,plain,
% 24.21/15.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2)))),
% 24.21/15.92 inference(monotonicity,[status(thm)],[5281])).
% 24.21/15.92 tff(5283,plain,
% 24.21/15.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))),
% 24.21/15.92 inference(transitivity,[status(thm)],[5282, 5280])).
% 24.21/15.92 tff(5284,plain,
% 24.21/15.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2)))),
% 24.21/15.92 inference(quant_inst,[status(thm)],[])).
% 24.21/15.92 tff(5285,plain,
% 24.21/15.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2)),
% 24.21/15.92 inference(modus_ponens,[status(thm)],[5284, 5283])).
% 24.21/15.92 tff(5286,plain,
% 24.21/15.92 ((~v127(constB29, bitIndex2)) | v130(constB29, bitIndex2)),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5285, 1812, 5229])).
% 24.21/15.92 tff(5287,plain,
% 24.21/15.92 (~v127(constB29, bitIndex2)),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5286, 5279])).
% 24.21/15.92 tff(5288,plain,
% 24.21/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2)))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5289,plain,
% 24.21/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2)))),
% 24.21/15.92 inference(quant_inst,[status(thm)],[])).
% 24.21/15.92 tff(5290,plain,
% 24.21/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2))),
% 24.21/15.92 inference(modus_ponens,[status(thm)],[5289, 5288])).
% 24.21/15.92 tff(5291,plain,
% 24.21/15.92 (v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2))),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5290, 1830, 5244])).
% 24.21/15.92 tff(5292,plain,
% 24.21/15.92 (~v129(constB30, bitIndex2)),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5291, 5287])).
% 24.21/15.92 tff(5293,plain,
% 24.21/15.92 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5294,plain,
% 24.21/15.92 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))),
% 24.21/15.92 inference(quant_inst,[status(thm)],[])).
% 24.21/15.92 tff(5295,plain,
% 24.21/15.92 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30))),
% 24.21/15.92 inference(modus_ponens,[status(thm)],[5294, 5293])).
% 24.21/15.92 tff(5296,plain,
% 24.21/15.92 ((~v90(constB30, bitIndex2)) | (~v100(constB30))),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5295, 1845, 5292])).
% 24.21/15.92 tff(5297,plain,
% 24.21/15.92 (~v90(constB30, bitIndex2)),
% 24.21/15.92 inference(unit_resolution,[status(thm)],[5296, 5275])).
% 24.21/15.92 tff(5298,plain,
% 24.21/15.92 ((~v1(constB31)) <=> (~v1(constB31))),
% 24.21/15.92 inference(rewrite,[status(thm)],[])).
% 24.21/15.92 tff(5299,axiom,(~v1(constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_31_1_1')).
% 24.21/15.92 tff(5300,plain,
% 24.21/15.92 (~v1(constB31)),
% 24.21/15.92 inference(modus_ponens,[status(thm)],[5299, 5298])).
% 24.21/15.92 tff(5301,plain,
% 24.21/15.93 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5302,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_30_1')).
% 24.21/15.93 tff(5303,plain,
% 24.21/15.93 (nextState(constB30, constB31)),
% 24.21/15.93 inference(modus_ponens,[status(thm)],[5302, 5301])).
% 24.21/15.93 tff(5304,plain,
% 24.21/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5305,plain,
% 24.21/15.93 (((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31)) <=> (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5306,plain,
% 24.21/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31))))),
% 24.21/15.93 inference(monotonicity,[status(thm)],[5305])).
% 24.21/15.93 tff(5307,plain,
% 24.21/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 24.21/15.93 inference(transitivity,[status(thm)],[5306, 5304])).
% 24.21/15.93 tff(5308,plain,
% 24.21/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))),
% 24.21/15.93 inference(quant_inst,[status(thm)],[])).
% 24.21/15.93 tff(5309,plain,
% 24.21/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31))),
% 24.21/15.93 inference(modus_ponens,[status(thm)],[5308, 5307])).
% 24.21/15.93 tff(5310,plain,
% 24.21/15.93 (~v101(constB31)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5309, 860, 5303, 5300])).
% 24.21/15.93 tff(5311,plain,
% 24.21/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5312,plain,
% 24.21/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))),
% 24.21/15.93 inference(quant_inst,[status(thm)],[])).
% 24.21/15.93 tff(5313,plain,
% 24.21/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31))),
% 24.21/15.93 inference(modus_ponens,[status(thm)],[5312, 5311])).
% 24.21/15.93 tff(5314,plain,
% 24.21/15.93 (v101(constB31) | (~v100(constB31))),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5313, 877, 5303])).
% 24.21/15.93 tff(5315,plain,
% 24.21/15.93 (~v100(constB31)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5314, 5310])).
% 24.21/15.93 tff(5316,plain,
% 24.21/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5317,plain,
% 24.21/15.93 (((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2))) <=> (v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5318,plain,
% 24.21/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2))))),
% 24.21/15.93 inference(monotonicity,[status(thm)],[5317])).
% 24.21/15.93 tff(5319,plain,
% 24.21/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 24.21/15.93 inference(transitivity,[status(thm)],[5318, 5316])).
% 24.21/15.93 tff(5320,plain,
% 24.21/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 24.21/15.93 inference(quant_inst,[status(thm)],[])).
% 24.21/15.93 tff(5321,plain,
% 24.21/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2))),
% 24.21/15.93 inference(modus_ponens,[status(thm)],[5320, 5319])).
% 24.21/15.93 tff(5322,plain,
% 24.21/15.93 (v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2))),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5321, 892, 5303])).
% 24.21/15.93 tff(5323,plain,
% 24.21/15.93 (v90(constB30, bitIndex2) | (~v90(constB31, bitIndex2))),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5322, 5315])).
% 24.21/15.93 tff(5324,plain,
% 24.21/15.93 (~v90(constB31, bitIndex2)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5323, 5297])).
% 24.21/15.93 tff(5325,plain,
% 24.21/15.93 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB29)) | v130(constB29, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB29)) | v130(constB29, bitIndex1))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5326,plain,
% 24.21/15.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB29)) | v130(constB29, bitIndex1))),
% 24.21/15.93 inference(quant_inst,[status(thm)],[])).
% 24.21/15.93 tff(5327,plain,
% 24.21/15.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB29)) | v130(constB29, bitIndex1)),
% 24.21/15.93 inference(modus_ponens,[status(thm)],[5326, 5325])).
% 24.21/15.93 tff(5328,plain,
% 24.21/15.93 (v130(constB29, bitIndex1)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5327, 2562, 5196])).
% 24.21/15.93 tff(5329,plain,
% 24.21/15.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5330,plain,
% 24.21/15.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1))),
% 24.21/15.93 inference(quant_inst,[status(thm)],[])).
% 24.21/15.93 tff(5331,plain,
% 24.21/15.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1)),
% 24.21/15.93 inference(modus_ponens,[status(thm)],[5330, 5329])).
% 24.21/15.93 tff(5332,plain,
% 24.21/15.93 ((~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5331, 1553, 5229])).
% 24.21/15.93 tff(5333,plain,
% 24.21/15.93 (v127(constB29, bitIndex1)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5332, 5328])).
% 24.21/15.93 tff(5334,plain,
% 24.21/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5335,plain,
% 24.21/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1))),
% 24.21/15.93 inference(quant_inst,[status(thm)],[])).
% 24.21/15.93 tff(5336,plain,
% 24.21/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1)),
% 24.21/15.93 inference(modus_ponens,[status(thm)],[5335, 5334])).
% 24.21/15.93 tff(5337,plain,
% 24.21/15.93 ((~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5336, 1568, 5244])).
% 24.21/15.93 tff(5338,plain,
% 24.21/15.93 (v129(constB30, bitIndex1)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5337, 5333])).
% 24.21/15.93 tff(5339,plain,
% 24.21/15.93 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5340,plain,
% 24.21/15.93 ((v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1))) <=> (v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5341,plain,
% 24.21/15.93 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30))))),
% 24.21/15.93 inference(monotonicity,[status(thm)],[5340])).
% 24.21/15.93 tff(5342,plain,
% 24.21/15.93 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))),
% 24.21/15.93 inference(transitivity,[status(thm)],[5341, 5339])).
% 24.21/15.93 tff(5343,plain,
% 24.21/15.93 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1)))),
% 24.21/15.93 inference(quant_inst,[status(thm)],[])).
% 24.21/15.93 tff(5344,plain,
% 24.21/15.93 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30))),
% 24.21/15.93 inference(modus_ponens,[status(thm)],[5343, 5342])).
% 24.21/15.93 tff(5345,plain,
% 24.21/15.93 (v90(constB30, bitIndex1) | (~v100(constB30))),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5344, 1583, 5338])).
% 24.21/15.93 tff(5346,plain,
% 24.21/15.93 (v90(constB30, bitIndex1)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5345, 5275])).
% 24.21/15.93 tff(5347,plain,
% 24.21/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5348,plain,
% 24.21/15.93 (((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1)) <=> ((~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5349,plain,
% 24.21/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1)))),
% 24.21/15.93 inference(monotonicity,[status(thm)],[5348])).
% 24.21/15.93 tff(5350,plain,
% 24.21/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))),
% 24.21/15.93 inference(transitivity,[status(thm)],[5349, 5347])).
% 24.21/15.93 tff(5351,plain,
% 24.21/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1))),
% 24.21/15.93 inference(quant_inst,[status(thm)],[])).
% 24.21/15.93 tff(5352,plain,
% 24.21/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1)),
% 24.21/15.93 inference(modus_ponens,[status(thm)],[5351, 5350])).
% 24.21/15.93 tff(5353,plain,
% 24.21/15.93 ((~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5352, 1601, 5303])).
% 24.21/15.93 tff(5354,plain,
% 24.21/15.93 ((~v90(constB30, bitIndex1)) | v90(constB31, bitIndex1)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5353, 5315])).
% 24.21/15.93 tff(5355,plain,
% 24.21/15.93 (v90(constB31, bitIndex1)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5354, 5346])).
% 24.21/15.93 tff(5356,plain,
% 24.21/15.93 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB29)) | v130(constB29, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB29)) | v130(constB29, bitIndex0))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5357,plain,
% 24.21/15.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB29)) | v130(constB29, bitIndex0))),
% 24.21/15.93 inference(quant_inst,[status(thm)],[])).
% 24.21/15.93 tff(5358,plain,
% 24.21/15.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB29)) | v130(constB29, bitIndex0)),
% 24.21/15.93 inference(modus_ponens,[status(thm)],[5357, 5356])).
% 24.21/15.93 tff(5359,plain,
% 24.21/15.93 (v130(constB29, bitIndex0)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5358, 2600, 5196])).
% 24.21/15.93 tff(5360,plain,
% 24.21/15.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5361,plain,
% 24.21/15.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0))),
% 24.21/15.93 inference(quant_inst,[status(thm)],[])).
% 24.21/15.93 tff(5362,plain,
% 24.21/15.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0)),
% 24.21/15.93 inference(modus_ponens,[status(thm)],[5361, 5360])).
% 24.21/15.93 tff(5363,plain,
% 24.21/15.93 ((~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5362, 1945, 5229])).
% 24.21/15.93 tff(5364,plain,
% 24.21/15.93 (v127(constB29, bitIndex0)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5363, 5359])).
% 24.21/15.93 tff(5365,plain,
% 24.21/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5366,plain,
% 24.21/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0))),
% 24.21/15.93 inference(quant_inst,[status(thm)],[])).
% 24.21/15.93 tff(5367,plain,
% 24.21/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0)),
% 24.21/15.93 inference(modus_ponens,[status(thm)],[5366, 5365])).
% 24.21/15.93 tff(5368,plain,
% 24.21/15.93 ((~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5367, 1960, 5244])).
% 24.21/15.93 tff(5369,plain,
% 24.21/15.93 (v129(constB30, bitIndex0)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5368, 5364])).
% 24.21/15.93 tff(5370,plain,
% 24.21/15.93 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5371,plain,
% 24.21/15.93 ((v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0))) <=> (v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5372,plain,
% 24.21/15.93 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30))))),
% 24.21/15.93 inference(monotonicity,[status(thm)],[5371])).
% 24.21/15.93 tff(5373,plain,
% 24.21/15.93 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))),
% 24.21/15.93 inference(transitivity,[status(thm)],[5372, 5370])).
% 24.21/15.93 tff(5374,plain,
% 24.21/15.93 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0)))),
% 24.21/15.93 inference(quant_inst,[status(thm)],[])).
% 24.21/15.93 tff(5375,plain,
% 24.21/15.93 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30))),
% 24.21/15.93 inference(modus_ponens,[status(thm)],[5374, 5373])).
% 24.21/15.93 tff(5376,plain,
% 24.21/15.93 (v90(constB30, bitIndex0) | (~v100(constB30))),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5375, 1975, 5369])).
% 24.21/15.93 tff(5377,plain,
% 24.21/15.93 (v90(constB30, bitIndex0)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5376, 5275])).
% 24.21/15.93 tff(5378,plain,
% 24.21/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5379,plain,
% 24.21/15.93 (((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0)) <=> ((~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5380,plain,
% 24.21/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0)))),
% 24.21/15.93 inference(monotonicity,[status(thm)],[5379])).
% 24.21/15.93 tff(5381,plain,
% 24.21/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))),
% 24.21/15.93 inference(transitivity,[status(thm)],[5380, 5378])).
% 24.21/15.93 tff(5382,plain,
% 24.21/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0))),
% 24.21/15.93 inference(quant_inst,[status(thm)],[])).
% 24.21/15.93 tff(5383,plain,
% 24.21/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0)),
% 24.21/15.93 inference(modus_ponens,[status(thm)],[5382, 5381])).
% 24.21/15.93 tff(5384,plain,
% 24.21/15.93 ((~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5383, 1993, 5303])).
% 24.21/15.93 tff(5385,plain,
% 24.21/15.93 ((~v90(constB30, bitIndex0)) | v90(constB31, bitIndex0)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5384, 5315])).
% 24.21/15.93 tff(5386,plain,
% 24.21/15.93 (v90(constB31, bitIndex0)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5385, 5377])).
% 24.21/15.93 tff(5387,plain,
% 24.21/15.93 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5388,plain,
% 24.21/15.93 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31))),
% 24.21/15.93 inference(quant_inst,[status(thm)],[])).
% 24.21/15.93 tff(5389,plain,
% 24.21/15.93 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31)),
% 24.21/15.93 inference(modus_ponens,[status(thm)],[5388, 5387])).
% 24.21/15.93 tff(5390,plain,
% 24.21/15.93 (v122(constB31)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5389, 2641, 5386, 5355, 5324])).
% 24.21/15.93 tff(5391,plain,
% 24.21/15.93 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB31) | (~v122(constB31)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB31) | (~v122(constB31)))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5392,plain,
% 24.21/15.93 (((~v122(constB31)) | v116(constB31)) <=> (v116(constB31) | (~v122(constB31)))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5393,plain,
% 24.21/15.93 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB31)) | v116(constB31))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB31) | (~v122(constB31))))),
% 24.21/15.93 inference(monotonicity,[status(thm)],[5392])).
% 24.21/15.93 tff(5394,plain,
% 24.21/15.93 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB31)) | v116(constB31))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB31) | (~v122(constB31)))),
% 24.21/15.93 inference(transitivity,[status(thm)],[5393, 5391])).
% 24.21/15.93 tff(5395,plain,
% 24.21/15.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB31)) | v116(constB31))),
% 24.21/15.93 inference(quant_inst,[status(thm)],[])).
% 24.21/15.93 tff(5396,plain,
% 24.21/15.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB31) | (~v122(constB31))),
% 24.21/15.93 inference(modus_ponens,[status(thm)],[5395, 5394])).
% 24.21/15.93 tff(5397,plain,
% 24.21/15.93 (v116(constB31)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5396, 2652, 5390])).
% 24.21/15.93 tff(5398,plain,
% 24.21/15.93 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB31) | (~v116(constB31)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB31) | (~v116(constB31)))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5399,plain,
% 24.21/15.93 (((~v116(constB31)) | v115(constB31)) <=> (v115(constB31) | (~v116(constB31)))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5400,plain,
% 24.21/15.93 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB31)) | v115(constB31))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB31) | (~v116(constB31))))),
% 24.21/15.93 inference(monotonicity,[status(thm)],[5399])).
% 24.21/15.93 tff(5401,plain,
% 24.21/15.93 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB31)) | v115(constB31))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB31) | (~v116(constB31)))),
% 24.21/15.93 inference(transitivity,[status(thm)],[5400, 5398])).
% 24.21/15.93 tff(5402,plain,
% 24.21/15.93 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB31)) | v115(constB31))),
% 24.21/15.93 inference(quant_inst,[status(thm)],[])).
% 24.21/15.93 tff(5403,plain,
% 24.21/15.93 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB31) | (~v116(constB31))),
% 24.21/15.93 inference(modus_ponens,[status(thm)],[5402, 5401])).
% 24.21/15.93 tff(5404,plain,
% 24.21/15.93 (v115(constB31)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5403, 1008, 5397])).
% 24.21/15.93 tff(5405,plain,
% 24.21/15.93 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB31) | (~v115(constB31)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB31) | (~v115(constB31)))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5406,plain,
% 24.21/15.93 (((~v115(constB31)) | v114(constB31)) <=> (v114(constB31) | (~v115(constB31)))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5407,plain,
% 24.21/15.93 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB31)) | v114(constB31))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB31) | (~v115(constB31))))),
% 24.21/15.93 inference(monotonicity,[status(thm)],[5406])).
% 24.21/15.93 tff(5408,plain,
% 24.21/15.93 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB31)) | v114(constB31))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB31) | (~v115(constB31)))),
% 24.21/15.93 inference(transitivity,[status(thm)],[5407, 5405])).
% 24.21/15.93 tff(5409,plain,
% 24.21/15.93 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB31)) | v114(constB31))),
% 24.21/15.93 inference(quant_inst,[status(thm)],[])).
% 24.21/15.93 tff(5410,plain,
% 24.21/15.93 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB31) | (~v115(constB31))),
% 24.21/15.93 inference(modus_ponens,[status(thm)],[5409, 5408])).
% 24.21/15.93 tff(5411,plain,
% 24.21/15.93 (v114(constB31)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5410, 1022, 5404])).
% 24.21/15.93 tff(5412,plain,
% 24.21/15.93 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB31) | (~v114(constB31)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB31) | (~v114(constB31)))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5413,plain,
% 24.21/15.93 (((~v114(constB31)) | v113(constB31)) <=> (v113(constB31) | (~v114(constB31)))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5414,plain,
% 24.21/15.93 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB31)) | v113(constB31))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB31) | (~v114(constB31))))),
% 24.21/15.93 inference(monotonicity,[status(thm)],[5413])).
% 24.21/15.93 tff(5415,plain,
% 24.21/15.93 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB31)) | v113(constB31))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB31) | (~v114(constB31)))),
% 24.21/15.93 inference(transitivity,[status(thm)],[5414, 5412])).
% 24.21/15.93 tff(5416,plain,
% 24.21/15.93 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB31)) | v113(constB31))),
% 24.21/15.93 inference(quant_inst,[status(thm)],[])).
% 24.21/15.93 tff(5417,plain,
% 24.21/15.93 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB31) | (~v114(constB31))),
% 24.21/15.93 inference(modus_ponens,[status(thm)],[5416, 5415])).
% 24.21/15.93 tff(5418,plain,
% 24.21/15.93 (v113(constB31)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5417, 1036, 5411])).
% 24.21/15.93 tff(5419,assumption,(v26(constB31)), introduced(assumption)).
% 24.21/15.93 tff(5420,plain,
% 24.21/15.93 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB31))),
% 24.21/15.93 inference(quant_inst,[status(thm)],[])).
% 24.21/15.93 tff(5421,plain,
% 24.21/15.93 ($false),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5420, 797, 5419])).
% 24.21/15.93 tff(5422,plain,(~v26(constB31)), inference(lemma,lemma(discharge,[]))).
% 24.21/15.93 tff(5423,plain,
% 24.21/15.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | (~v113(constB31)) | v112(constB31))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5424,plain,
% 24.21/15.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))),
% 24.21/15.93 inference(quant_inst,[status(thm)],[])).
% 24.21/15.93 tff(5425,plain,
% 24.21/15.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | (~v113(constB31)) | v112(constB31)),
% 24.21/15.93 inference(modus_ponens,[status(thm)],[5424, 5423])).
% 24.21/15.93 tff(5426,plain,
% 24.21/15.93 ((~v113(constB31)) | v112(constB31)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5425, 1050, 5422])).
% 24.21/15.93 tff(5427,plain,
% 24.21/15.93 (v112(constB31)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5426, 5418])).
% 24.21/15.93 tff(5428,plain,
% 24.21/15.93 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB31) | (~v112(constB31)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v112(constB31)))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5429,plain,
% 24.21/15.93 (((~v112(constB31)) | v108(constB31)) <=> (v108(constB31) | (~v112(constB31)))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5430,plain,
% 24.21/15.93 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB31)) | v108(constB31))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB31) | (~v112(constB31))))),
% 24.21/15.93 inference(monotonicity,[status(thm)],[5429])).
% 24.21/15.93 tff(5431,plain,
% 24.21/15.93 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB31)) | v108(constB31))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v112(constB31)))),
% 24.21/15.93 inference(transitivity,[status(thm)],[5430, 5428])).
% 24.21/15.93 tff(5432,plain,
% 24.21/15.93 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB31)) | v108(constB31))),
% 24.21/15.93 inference(quant_inst,[status(thm)],[])).
% 24.21/15.93 tff(5433,plain,
% 24.21/15.93 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v112(constB31))),
% 24.21/15.93 inference(modus_ponens,[status(thm)],[5432, 5431])).
% 24.21/15.93 tff(5434,plain,
% 24.21/15.93 (v108(constB31)),
% 24.21/15.93 inference(unit_resolution,[status(thm)],[5433, 1062, 5427])).
% 24.21/15.93 tff(5435,plain,
% 24.21/15.93 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5436,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_31_1')).
% 24.21/15.93 tff(5437,plain,
% 24.21/15.93 (nextState(constB31, constB32)),
% 24.21/15.93 inference(modus_ponens,[status(thm)],[5436, 5435])).
% 24.21/15.93 tff(5438,plain,
% 24.21/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5439,plain,
% 24.21/15.93 (((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32)) <=> ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 24.21/15.93 inference(rewrite,[status(thm)],[])).
% 24.21/15.93 tff(5440,plain,
% 24.21/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31))))),
% 24.21/15.93 inference(monotonicity,[status(thm)],[5439])).
% 24.21/15.93 tff(5441,plain,
% 24.21/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 24.21/15.93 inference(transitivity,[status(thm)],[5440, 5438])).
% 24.21/15.93 tff(5442,plain,
% 24.21/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))),
% 24.21/15.93 inference(quant_inst,[status(thm)],[])).
% 24.21/15.93 tff(5443,plain,
% 24.21/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31))),
% 24.21/15.94 inference(modus_ponens,[status(thm)],[5442, 5441])).
% 24.21/15.94 tff(5444,plain,
% 24.21/15.94 (v110(constB32) | (~v108(constB31))),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5443, 1082, 5437])).
% 24.21/15.94 tff(5445,plain,
% 24.21/15.94 (v110(constB32)),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5444, 5434])).
% 24.21/15.94 tff(5446,plain,
% 24.21/15.94 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))),
% 24.21/15.94 inference(rewrite,[status(thm)],[])).
% 24.21/15.94 tff(5447,plain,
% 24.21/15.94 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))),
% 24.21/15.94 inference(quant_inst,[status(thm)],[])).
% 24.21/15.94 tff(5448,plain,
% 24.21/15.94 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32))),
% 24.21/15.94 inference(modus_ponens,[status(thm)],[5447, 5446])).
% 24.21/15.94 tff(5449,plain,
% 24.21/15.94 (~v104(constB32)),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5448, 1100, 5437, 5300])).
% 24.21/15.94 tff(5450,plain,
% 24.21/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))),
% 24.21/15.94 inference(rewrite,[status(thm)],[])).
% 24.21/15.94 tff(5451,plain,
% 24.21/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))),
% 24.21/15.94 inference(quant_inst,[status(thm)],[])).
% 24.21/15.94 tff(5452,plain,
% 24.21/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v102(constB32) | v104(constB32)),
% 24.21/15.94 inference(modus_ponens,[status(thm)],[5451, 5450])).
% 24.21/15.94 tff(5453,plain,
% 24.21/15.94 (v102(constB32) | v104(constB32)),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5452, 1114, 5437])).
% 24.21/15.94 tff(5454,plain,
% 24.21/15.94 (v102(constB32)),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5453, 5449])).
% 24.21/15.94 tff(5455,plain,
% 24.21/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))),
% 24.21/15.94 inference(rewrite,[status(thm)],[])).
% 24.21/15.94 tff(5456,plain,
% 24.21/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))),
% 24.21/15.94 inference(quant_inst,[status(thm)],[])).
% 24.21/15.94 tff(5457,plain,
% 24.21/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32))),
% 24.21/15.94 inference(modus_ponens,[status(thm)],[5456, 5455])).
% 24.21/15.94 tff(5458,plain,
% 24.21/15.94 (v101(constB32) | (~v102(constB32))),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5457, 1129, 5437, 625])).
% 24.21/15.94 tff(5459,plain,
% 24.21/15.94 (v101(constB32)),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5458, 5454])).
% 24.21/15.94 tff(5460,plain,
% 24.21/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 24.21/15.94 inference(rewrite,[status(thm)],[])).
% 24.21/15.94 tff(5461,plain,
% 24.21/15.94 (((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32)) <=> ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 24.21/15.94 inference(rewrite,[status(thm)],[])).
% 24.21/15.94 tff(5462,plain,
% 24.21/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32))))),
% 24.21/15.94 inference(monotonicity,[status(thm)],[5461])).
% 24.21/15.94 tff(5463,plain,
% 24.21/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 24.21/15.94 inference(transitivity,[status(thm)],[5462, 5460])).
% 24.21/15.94 tff(5464,plain,
% 24.21/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))),
% 24.21/15.94 inference(quant_inst,[status(thm)],[])).
% 24.21/15.94 tff(5465,plain,
% 24.21/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 24.21/15.94 inference(modus_ponens,[status(thm)],[5464, 5463])).
% 24.21/15.94 tff(5466,plain,
% 24.21/15.94 (v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5465, 1144, 5437])).
% 24.21/15.94 tff(5467,plain,
% 24.21/15.94 (v100(constB32) | (~v110(constB32))),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5466, 5459])).
% 24.21/15.94 tff(5468,plain,
% 24.21/15.94 (v100(constB32)),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5467, 5445])).
% 24.21/15.94 tff(5469,plain,
% 24.21/15.94 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB31)) | (~v130(constB31, bitIndex0)))),
% 24.21/15.94 inference(rewrite,[status(thm)],[])).
% 24.21/15.94 tff(5470,plain,
% 24.21/15.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex0)))),
% 24.21/15.94 inference(quant_inst,[status(thm)],[])).
% 24.21/15.94 tff(5471,plain,
% 24.21/15.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB31)) | (~v130(constB31, bitIndex0))),
% 24.21/15.94 inference(modus_ponens,[status(thm)],[5470, 5469])).
% 24.21/15.94 tff(5472,plain,
% 24.21/15.94 (~v130(constB31, bitIndex0)),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5471, 2833, 5390])).
% 24.21/15.94 tff(5473,plain,
% 24.21/15.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))),
% 24.21/15.94 inference(rewrite,[status(thm)],[])).
% 24.21/15.94 tff(5474,plain,
% 24.21/15.94 ((v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0))) <=> ((~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))),
% 24.21/15.94 inference(rewrite,[status(thm)],[])).
% 24.21/15.94 tff(5475,plain,
% 24.21/15.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0)))),
% 24.21/15.94 inference(monotonicity,[status(thm)],[5474])).
% 24.21/15.94 tff(5476,plain,
% 24.21/15.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))),
% 24.21/15.94 inference(transitivity,[status(thm)],[5475, 5473])).
% 24.21/15.94 tff(5477,plain,
% 24.21/15.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0)))),
% 24.21/15.94 inference(quant_inst,[status(thm)],[])).
% 24.21/15.94 tff(5478,plain,
% 24.21/15.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0)),
% 24.21/15.94 inference(modus_ponens,[status(thm)],[5477, 5476])).
% 24.21/15.94 tff(5479,plain,
% 24.21/15.94 ((~v127(constB31, bitIndex0)) | v130(constB31, bitIndex0)),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5478, 1341, 5422])).
% 24.21/15.94 tff(5480,plain,
% 24.21/15.94 (~v127(constB31, bitIndex0)),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5479, 5472])).
% 24.21/15.94 tff(5481,plain,
% 24.21/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0)))),
% 24.21/15.94 inference(rewrite,[status(thm)],[])).
% 24.21/15.94 tff(5482,plain,
% 24.21/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0)))),
% 24.21/15.94 inference(quant_inst,[status(thm)],[])).
% 24.21/15.94 tff(5483,plain,
% 24.21/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0))),
% 24.21/15.94 inference(modus_ponens,[status(thm)],[5482, 5481])).
% 24.21/15.94 tff(5484,plain,
% 24.21/15.94 (v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0))),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5483, 1359, 5437])).
% 24.21/15.94 tff(5485,plain,
% 24.21/15.94 (~v129(constB32, bitIndex0)),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5484, 5480])).
% 24.21/15.94 tff(5486,plain,
% 24.21/15.94 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))),
% 24.21/15.94 inference(rewrite,[status(thm)],[])).
% 24.21/15.94 tff(5487,plain,
% 24.21/15.94 (((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0)) <=> ((~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))),
% 24.21/15.94 inference(rewrite,[status(thm)],[])).
% 24.21/15.94 tff(5488,plain,
% 24.21/15.94 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32))))),
% 24.21/15.94 inference(monotonicity,[status(thm)],[5487])).
% 24.21/15.94 tff(5489,plain,
% 24.21/15.94 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))),
% 24.21/15.94 inference(transitivity,[status(thm)],[5488, 5486])).
% 24.21/15.94 tff(5490,plain,
% 24.21/15.94 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0))),
% 24.21/15.94 inference(quant_inst,[status(thm)],[])).
% 24.21/15.94 tff(5491,plain,
% 24.21/15.94 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32))),
% 24.21/15.94 inference(modus_ponens,[status(thm)],[5490, 5489])).
% 24.21/15.94 tff(5492,plain,
% 24.21/15.94 ((~v90(constB32, bitIndex0)) | (~v100(constB32))),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5491, 1374, 5485])).
% 24.21/15.94 tff(5493,plain,
% 24.21/15.94 (~v90(constB32, bitIndex0)),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5492, 5468])).
% 24.21/15.94 tff(5494,plain,
% 24.21/15.94 ((~v1(constB33)) <=> (~v1(constB33))),
% 24.21/15.94 inference(rewrite,[status(thm)],[])).
% 24.21/15.94 tff(5495,axiom,(~v1(constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_33_1_1')).
% 24.21/15.94 tff(5496,plain,
% 24.21/15.94 (~v1(constB33)),
% 24.21/15.94 inference(modus_ponens,[status(thm)],[5495, 5494])).
% 24.21/15.94 tff(5497,plain,
% 24.21/15.94 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 24.21/15.94 inference(rewrite,[status(thm)],[])).
% 24.21/15.94 tff(5498,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_32_1')).
% 24.21/15.94 tff(5499,plain,
% 24.21/15.94 (nextState(constB32, constB33)),
% 24.21/15.94 inference(modus_ponens,[status(thm)],[5498, 5497])).
% 24.21/15.94 tff(5500,plain,
% 24.21/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 24.21/15.94 inference(rewrite,[status(thm)],[])).
% 24.21/15.94 tff(5501,plain,
% 24.21/15.94 (((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33)) <=> (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 24.21/15.94 inference(rewrite,[status(thm)],[])).
% 24.21/15.94 tff(5502,plain,
% 24.21/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33))))),
% 24.21/15.94 inference(monotonicity,[status(thm)],[5501])).
% 24.21/15.94 tff(5503,plain,
% 24.21/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 24.21/15.94 inference(transitivity,[status(thm)],[5502, 5500])).
% 24.21/15.94 tff(5504,plain,
% 24.21/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))),
% 24.21/15.94 inference(quant_inst,[status(thm)],[])).
% 24.21/15.94 tff(5505,plain,
% 24.21/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33))),
% 24.21/15.94 inference(modus_ponens,[status(thm)],[5504, 5503])).
% 24.21/15.94 tff(5506,plain,
% 24.21/15.94 (~v101(constB33)),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5505, 860, 5499, 5496])).
% 24.21/15.94 tff(5507,plain,
% 24.21/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))),
% 24.21/15.94 inference(rewrite,[status(thm)],[])).
% 24.21/15.94 tff(5508,plain,
% 24.21/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))),
% 24.21/15.94 inference(quant_inst,[status(thm)],[])).
% 24.21/15.94 tff(5509,plain,
% 24.21/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33))),
% 24.21/15.94 inference(modus_ponens,[status(thm)],[5508, 5507])).
% 24.21/15.94 tff(5510,plain,
% 24.21/15.94 (v101(constB33) | (~v100(constB33))),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5509, 877, 5499])).
% 24.21/15.94 tff(5511,plain,
% 24.21/15.94 (~v100(constB33)),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5510, 5506])).
% 24.21/15.94 tff(5512,plain,
% 24.21/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 24.21/15.94 inference(rewrite,[status(thm)],[])).
% 24.21/15.94 tff(5513,plain,
% 24.21/15.94 (((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0))) <=> (v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 24.21/15.94 inference(rewrite,[status(thm)],[])).
% 24.21/15.94 tff(5514,plain,
% 24.21/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0))))),
% 24.21/15.94 inference(monotonicity,[status(thm)],[5513])).
% 24.21/15.94 tff(5515,plain,
% 24.21/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 24.21/15.94 inference(transitivity,[status(thm)],[5514, 5512])).
% 24.21/15.94 tff(5516,plain,
% 24.21/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 24.21/15.94 inference(quant_inst,[status(thm)],[])).
% 24.21/15.94 tff(5517,plain,
% 24.21/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0))),
% 24.21/15.94 inference(modus_ponens,[status(thm)],[5516, 5515])).
% 24.21/15.94 tff(5518,plain,
% 24.21/15.94 (v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0))),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5517, 934, 5499])).
% 24.21/15.94 tff(5519,plain,
% 24.21/15.94 (v90(constB32, bitIndex0) | (~v90(constB33, bitIndex0))),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5518, 5511])).
% 24.21/15.94 tff(5520,plain,
% 24.21/15.94 (~v90(constB33, bitIndex0)),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5519, 5493])).
% 24.21/15.94 tff(5521,plain,
% 24.21/15.94 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB31)) | (~v130(constB31, bitIndex1)))),
% 24.21/15.94 inference(rewrite,[status(thm)],[])).
% 24.21/15.94 tff(5522,plain,
% 24.21/15.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex1)))),
% 24.21/15.94 inference(quant_inst,[status(thm)],[])).
% 24.21/15.94 tff(5523,plain,
% 24.21/15.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB31)) | (~v130(constB31, bitIndex1))),
% 24.21/15.94 inference(modus_ponens,[status(thm)],[5522, 5521])).
% 24.21/15.94 tff(5524,plain,
% 24.21/15.94 (~v130(constB31, bitIndex1)),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5523, 2792, 5390])).
% 24.21/15.94 tff(5525,plain,
% 24.21/15.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))),
% 24.21/15.94 inference(rewrite,[status(thm)],[])).
% 24.21/15.94 tff(5526,plain,
% 24.21/15.94 ((v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1))) <=> ((~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))),
% 24.21/15.94 inference(rewrite,[status(thm)],[])).
% 24.21/15.94 tff(5527,plain,
% 24.21/15.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1)))),
% 24.21/15.94 inference(monotonicity,[status(thm)],[5526])).
% 24.21/15.94 tff(5528,plain,
% 24.21/15.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))),
% 24.21/15.94 inference(transitivity,[status(thm)],[5527, 5525])).
% 24.21/15.94 tff(5529,plain,
% 24.21/15.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1)))),
% 24.21/15.94 inference(quant_inst,[status(thm)],[])).
% 24.21/15.94 tff(5530,plain,
% 24.21/15.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1)),
% 24.21/15.94 inference(modus_ponens,[status(thm)],[5529, 5528])).
% 24.21/15.94 tff(5531,plain,
% 24.21/15.94 ((~v127(constB31, bitIndex1)) | v130(constB31, bitIndex1)),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5530, 1270, 5422])).
% 24.21/15.94 tff(5532,plain,
% 24.21/15.94 (~v127(constB31, bitIndex1)),
% 24.21/15.94 inference(unit_resolution,[status(thm)],[5531, 5524])).
% 24.21/15.94 tff(5533,plain,
% 24.21/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1)))),
% 24.23/15.94 inference(rewrite,[status(thm)],[])).
% 24.23/15.94 tff(5534,plain,
% 24.23/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1)))),
% 24.23/15.94 inference(quant_inst,[status(thm)],[])).
% 24.23/15.94 tff(5535,plain,
% 24.23/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1))),
% 24.23/15.94 inference(modus_ponens,[status(thm)],[5534, 5533])).
% 24.23/15.94 tff(5536,plain,
% 24.23/15.94 (v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1))),
% 24.23/15.94 inference(unit_resolution,[status(thm)],[5535, 1288, 5437])).
% 24.23/15.94 tff(5537,plain,
% 24.23/15.94 (~v129(constB32, bitIndex1)),
% 24.23/15.94 inference(unit_resolution,[status(thm)],[5536, 5532])).
% 24.23/15.94 tff(5538,plain,
% 24.23/15.94 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))),
% 24.23/15.94 inference(rewrite,[status(thm)],[])).
% 24.23/15.94 tff(5539,plain,
% 24.23/15.94 (((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1)) <=> ((~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))),
% 24.23/15.94 inference(rewrite,[status(thm)],[])).
% 24.23/15.94 tff(5540,plain,
% 24.23/15.94 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32))))),
% 24.23/15.94 inference(monotonicity,[status(thm)],[5539])).
% 24.23/15.94 tff(5541,plain,
% 24.23/15.94 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))),
% 24.23/15.94 inference(transitivity,[status(thm)],[5540, 5538])).
% 24.23/15.94 tff(5542,plain,
% 24.23/15.94 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1))),
% 24.23/15.94 inference(quant_inst,[status(thm)],[])).
% 24.23/15.94 tff(5543,plain,
% 24.23/15.94 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32))),
% 24.23/15.94 inference(modus_ponens,[status(thm)],[5542, 5541])).
% 24.23/15.94 tff(5544,plain,
% 24.23/15.94 ((~v90(constB32, bitIndex1)) | (~v100(constB32))),
% 24.23/15.94 inference(unit_resolution,[status(thm)],[5543, 1303, 5537])).
% 24.23/15.94 tff(5545,plain,
% 24.23/15.94 (~v90(constB32, bitIndex1)),
% 24.23/15.94 inference(unit_resolution,[status(thm)],[5544, 5468])).
% 24.23/15.94 tff(5546,plain,
% 24.23/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 24.23/15.94 inference(rewrite,[status(thm)],[])).
% 24.23/15.94 tff(5547,plain,
% 24.23/15.94 (((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1))) <=> (v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 24.23/15.94 inference(rewrite,[status(thm)],[])).
% 24.23/15.94 tff(5548,plain,
% 24.23/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1))))),
% 24.23/15.94 inference(monotonicity,[status(thm)],[5547])).
% 24.23/15.94 tff(5549,plain,
% 24.23/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 24.23/15.94 inference(transitivity,[status(thm)],[5548, 5546])).
% 24.23/15.94 tff(5550,plain,
% 24.23/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 24.23/15.94 inference(quant_inst,[status(thm)],[])).
% 24.23/15.94 tff(5551,plain,
% 24.23/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1))),
% 24.23/15.94 inference(modus_ponens,[status(thm)],[5550, 5549])).
% 24.23/15.94 tff(5552,plain,
% 24.23/15.94 (v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1))),
% 24.23/15.94 inference(unit_resolution,[status(thm)],[5551, 913, 5499])).
% 24.23/15.94 tff(5553,plain,
% 24.23/15.94 (v90(constB32, bitIndex1) | (~v90(constB33, bitIndex1))),
% 24.23/15.94 inference(unit_resolution,[status(thm)],[5552, 5511])).
% 24.23/15.94 tff(5554,plain,
% 24.23/15.94 (~v90(constB33, bitIndex1)),
% 24.23/15.94 inference(unit_resolution,[status(thm)],[5553, 5545])).
% 24.23/15.94 tff(5555,assumption,(~v90(constB33, bitIndex0)), introduced(assumption)).
% 24.23/15.94 tff(5556,plain,
% 24.23/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex0))),
% 24.23/15.94 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5557,plain,
% 24.23/15.95 (((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex0)) | v100(constB33) | v90(constB33, bitIndex0)) <=> ((~v90(constB32, bitIndex0)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex0))),
% 24.23/15.95 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5558,plain,
% 24.23/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex0)) | v100(constB33) | v90(constB33, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex0)))),
% 24.23/15.95 inference(monotonicity,[status(thm)],[5557])).
% 24.23/15.95 tff(5559,plain,
% 24.23/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex0)) | v100(constB33) | v90(constB33, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex0))),
% 24.23/15.95 inference(transitivity,[status(thm)],[5558, 5556])).
% 24.23/15.95 tff(5560,plain,
% 24.23/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex0)) | v100(constB33) | v90(constB33, bitIndex0))),
% 24.23/15.95 inference(quant_inst,[status(thm)],[])).
% 24.23/15.95 tff(5561,plain,
% 24.23/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex0)),
% 24.23/15.95 inference(modus_ponens,[status(thm)],[5560, 5559])).
% 24.23/15.95 tff(5562,plain,
% 24.23/15.95 ((~v90(constB32, bitIndex0)) | v100(constB33) | v90(constB33, bitIndex0)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5561, 1993, 5499])).
% 24.23/15.95 tff(5563,plain,
% 24.23/15.95 ((~v90(constB32, bitIndex0)) | v90(constB33, bitIndex0)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5562, 5511])).
% 24.23/15.95 tff(5564,plain,
% 24.23/15.95 (~v90(constB32, bitIndex0)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5563, 5555])).
% 24.23/15.95 tff(5565,assumption,(~v90(constB33, bitIndex1)), introduced(assumption)).
% 24.23/15.95 tff(5566,plain,
% 24.23/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex1))),
% 24.23/15.95 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5567,plain,
% 24.23/15.95 (((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex1)) | v100(constB33) | v90(constB33, bitIndex1)) <=> ((~v90(constB32, bitIndex1)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex1))),
% 24.23/15.95 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5568,plain,
% 24.23/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex1)) | v100(constB33) | v90(constB33, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex1)))),
% 24.23/15.95 inference(monotonicity,[status(thm)],[5567])).
% 24.23/15.95 tff(5569,plain,
% 24.23/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex1)) | v100(constB33) | v90(constB33, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex1))),
% 24.23/15.95 inference(transitivity,[status(thm)],[5568, 5566])).
% 24.23/15.95 tff(5570,plain,
% 24.23/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex1)) | v100(constB33) | v90(constB33, bitIndex1))),
% 24.23/15.95 inference(quant_inst,[status(thm)],[])).
% 24.23/15.95 tff(5571,plain,
% 24.23/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex1)),
% 24.23/15.95 inference(modus_ponens,[status(thm)],[5570, 5569])).
% 24.23/15.95 tff(5572,plain,
% 24.23/15.95 ((~v90(constB32, bitIndex1)) | v100(constB33) | v90(constB33, bitIndex1)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5571, 1601, 5499])).
% 24.23/15.95 tff(5573,plain,
% 24.23/15.95 ((~v90(constB32, bitIndex1)) | v90(constB33, bitIndex1)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5572, 5511])).
% 24.23/15.95 tff(5574,plain,
% 24.23/15.95 (~v90(constB32, bitIndex1)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5573, 5565])).
% 24.23/15.95 tff(5575,assumption,(~v108(constB31)), introduced(assumption)).
% 24.23/15.95 tff(5576,plain,
% 24.23/15.95 (~v112(constB31)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5433, 1062, 5575])).
% 24.23/15.95 tff(5577,plain,
% 24.23/15.95 (~v113(constB31)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5426, 5576])).
% 24.23/15.95 tff(5578,plain,
% 24.23/15.95 (~v114(constB31)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5417, 1036, 5577])).
% 24.23/15.95 tff(5579,plain,
% 24.23/15.95 (~v115(constB31)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5410, 1022, 5578])).
% 24.23/15.95 tff(5580,plain,
% 24.23/15.95 (~v116(constB31)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5403, 1008, 5579])).
% 24.23/15.95 tff(5581,plain,
% 24.23/15.95 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB31) | (~v117(constB31)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB31) | (~v117(constB31)))),
% 24.23/15.95 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5582,plain,
% 24.23/15.95 (((~v117(constB31)) | v116(constB31)) <=> (v116(constB31) | (~v117(constB31)))),
% 24.23/15.95 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5583,plain,
% 24.23/15.95 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB31)) | v116(constB31))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB31) | (~v117(constB31))))),
% 24.23/15.95 inference(monotonicity,[status(thm)],[5582])).
% 24.23/15.95 tff(5584,plain,
% 24.23/15.95 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB31)) | v116(constB31))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB31) | (~v117(constB31)))),
% 24.23/15.95 inference(transitivity,[status(thm)],[5583, 5581])).
% 24.23/15.95 tff(5585,plain,
% 24.23/15.95 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB31)) | v116(constB31))),
% 24.23/15.95 inference(quant_inst,[status(thm)],[])).
% 24.23/15.95 tff(5586,plain,
% 24.23/15.95 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB31) | (~v117(constB31))),
% 24.23/15.95 inference(modus_ponens,[status(thm)],[5585, 5584])).
% 24.23/15.95 tff(5587,plain,
% 24.23/15.95 (~v117(constB31)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5586, 994, 5580])).
% 24.23/15.95 tff(5588,plain,
% 24.23/15.95 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB31) | (~v118(constB31)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB31) | (~v118(constB31)))),
% 24.23/15.95 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5589,plain,
% 24.23/15.95 (((~v118(constB31)) | v117(constB31)) <=> (v117(constB31) | (~v118(constB31)))),
% 24.23/15.95 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5590,plain,
% 24.23/15.95 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB31)) | v117(constB31))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB31) | (~v118(constB31))))),
% 24.23/15.95 inference(monotonicity,[status(thm)],[5589])).
% 24.23/15.95 tff(5591,plain,
% 24.23/15.95 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB31)) | v117(constB31))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB31) | (~v118(constB31)))),
% 24.23/15.95 inference(transitivity,[status(thm)],[5590, 5588])).
% 24.23/15.95 tff(5592,plain,
% 24.23/15.95 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB31)) | v117(constB31))),
% 24.23/15.95 inference(quant_inst,[status(thm)],[])).
% 24.23/15.95 tff(5593,plain,
% 24.23/15.95 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB31) | (~v118(constB31))),
% 24.23/15.95 inference(modus_ponens,[status(thm)],[5592, 5591])).
% 24.23/15.95 tff(5594,plain,
% 24.23/15.95 (~v118(constB31)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5593, 980, 5587])).
% 24.23/15.95 tff(5595,plain,
% 24.23/15.95 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB31)) | v118(constB31))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB31)) | v118(constB31))),
% 24.23/15.95 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5596,plain,
% 24.23/15.95 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB31)) | v118(constB31))),
% 24.23/15.95 inference(quant_inst,[status(thm)],[])).
% 24.23/15.95 tff(5597,plain,
% 24.23/15.95 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB31)) | v118(constB31)),
% 24.23/15.95 inference(modus_ponens,[status(thm)],[5596, 5595])).
% 24.23/15.95 tff(5598,plain,
% 24.23/15.95 (~v120(constB31)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5597, 2210, 5594])).
% 24.23/15.95 tff(5599,assumption,(~v90(constB32, bitIndex1)), introduced(assumption)).
% 24.23/15.95 tff(5600,plain,
% 24.23/15.95 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB31)) | v115(constB31))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB31)) | v115(constB31))),
% 24.23/15.95 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5601,plain,
% 24.23/15.95 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB31)) | v115(constB31))),
% 24.23/15.95 inference(quant_inst,[status(thm)],[])).
% 24.23/15.95 tff(5602,plain,
% 24.23/15.95 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB31)) | v115(constB31)),
% 24.23/15.95 inference(modus_ponens,[status(thm)],[5601, 5600])).
% 24.23/15.95 tff(5603,plain,
% 24.23/15.95 (~v123(constB31)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5602, 1412, 5579])).
% 24.23/15.95 tff(5604,assumption,(~v90(constB31, bitIndex0)), introduced(assumption)).
% 24.23/15.95 tff(5605,plain,
% 24.23/15.95 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))))),
% 24.23/15.95 inference(bind,[status(th)],[])).
% 24.23/15.95 tff(5606,plain,
% 24.23/15.95 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 24.23/15.95 inference(quant_intro,[status(thm)],[5605])).
% 24.23/15.95 tff(5607,plain,
% 24.23/15.95 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 24.23/15.95 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5608,plain,
% 24.23/15.95 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v110(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))))),
% 24.23/15.95 inference(bind,[status(th)],[])).
% 24.23/15.95 tff(5609,plain,
% 24.23/15.95 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 24.23/15.95 inference(quant_intro,[status(thm)],[5608])).
% 24.23/15.95 tff(5610,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_6_1_2')).
% 24.23/15.95 tff(5611,plain,
% 24.23/15.95 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 24.23/15.95 inference(modus_ponens,[status(thm)],[5610, 5609])).
% 24.23/15.95 tff(5612,plain,
% 24.23/15.95 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 24.23/15.95 inference(modus_ponens,[status(thm)],[5611, 5607])).
% 24.23/15.95 tff(5613,plain,(
% 24.23/15.95 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 24.23/15.95 inference(skolemize,[status(sab)],[5612])).
% 24.23/15.95 tff(5614,plain,
% 24.23/15.95 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 24.23/15.95 inference(modus_ponens,[status(thm)],[5613, 5606])).
% 24.23/15.95 tff(5615,plain,
% 24.23/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB31, constB32)) | (~v110(constB32)) | v108(constB31))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB31, constB32)) | (~v110(constB32)) | v108(constB31))),
% 24.23/15.95 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5616,plain,
% 24.23/15.95 (((~nextState(constB31, constB32)) | v108(constB31) | (~v110(constB32))) <=> ((~nextState(constB31, constB32)) | (~v110(constB32)) | v108(constB31))),
% 24.23/15.95 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5617,plain,
% 24.23/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB31, constB32)) | v108(constB31) | (~v110(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB31, constB32)) | (~v110(constB32)) | v108(constB31)))),
% 24.23/15.95 inference(monotonicity,[status(thm)],[5616])).
% 24.23/15.95 tff(5618,plain,
% 24.23/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB31, constB32)) | v108(constB31) | (~v110(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB31, constB32)) | (~v110(constB32)) | v108(constB31))),
% 24.23/15.95 inference(transitivity,[status(thm)],[5617, 5615])).
% 24.23/15.95 tff(5619,plain,
% 24.23/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB31, constB32)) | v108(constB31) | (~v110(constB32)))),
% 24.23/15.95 inference(quant_inst,[status(thm)],[])).
% 24.23/15.95 tff(5620,plain,
% 24.23/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB31, constB32)) | (~v110(constB32)) | v108(constB31)),
% 24.23/15.95 inference(modus_ponens,[status(thm)],[5619, 5618])).
% 24.23/15.95 tff(5621,plain,
% 24.23/15.95 ((~v110(constB32)) | v108(constB31)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5620, 5614, 5437])).
% 24.23/15.95 tff(5622,plain,
% 24.23/15.95 (~v110(constB32)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5621, 5575])).
% 24.23/15.95 tff(5623,plain,
% 24.23/15.95 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))))),
% 24.23/15.95 inference(bind,[status(th)],[])).
% 24.23/15.95 tff(5624,plain,
% 24.23/15.95 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 24.23/15.95 inference(quant_intro,[status(thm)],[5623])).
% 24.23/15.95 tff(5625,plain,
% 24.23/15.95 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 24.23/15.95 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5626,plain,
% 24.23/15.95 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v100(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))))),
% 24.23/15.95 inference(bind,[status(th)],[])).
% 24.23/15.95 tff(5627,plain,
% 24.23/15.95 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 24.23/15.95 inference(quant_intro,[status(thm)],[5626])).
% 24.23/15.95 tff(5628,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_2')).
% 24.23/15.95 tff(5629,plain,
% 24.23/15.95 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 24.23/15.95 inference(modus_ponens,[status(thm)],[5628, 5627])).
% 24.23/15.95 tff(5630,plain,
% 24.23/15.95 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 24.23/15.95 inference(modus_ponens,[status(thm)],[5629, 5625])).
% 24.23/15.95 tff(5631,plain,(
% 24.23/15.95 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 24.23/15.95 inference(skolemize,[status(sab)],[5630])).
% 24.23/15.95 tff(5632,plain,
% 24.23/15.95 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 24.23/15.95 inference(modus_ponens,[status(thm)],[5631, 5624])).
% 24.23/15.95 tff(5633,plain,
% 24.23/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v100(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v100(constB32)))),
% 24.23/15.95 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5634,plain,
% 24.23/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v100(constB32)))),
% 24.23/15.95 inference(quant_inst,[status(thm)],[])).
% 24.23/15.95 tff(5635,plain,
% 24.23/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v100(constB32))),
% 24.23/15.95 inference(modus_ponens,[status(thm)],[5634, 5633])).
% 24.23/15.95 tff(5636,plain,
% 24.23/15.95 (v110(constB32) | (~v100(constB32))),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5635, 5632, 5437])).
% 24.23/15.95 tff(5637,plain,
% 24.23/15.95 (~v100(constB32)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5636, 5622])).
% 24.23/15.95 tff(5638,plain,
% 24.23/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB31, bitIndex1)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB31, bitIndex1)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, bitIndex1))),
% 24.23/15.95 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5639,plain,
% 24.23/15.95 (((~nextState(constB31, constB32)) | (~v90(constB31, bitIndex1)) | v100(constB32) | v90(constB32, bitIndex1)) <=> ((~v90(constB31, bitIndex1)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, bitIndex1))),
% 24.23/15.95 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5640,plain,
% 24.23/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB31, constB32)) | (~v90(constB31, bitIndex1)) | v100(constB32) | v90(constB32, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB31, bitIndex1)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, bitIndex1)))),
% 24.23/15.95 inference(monotonicity,[status(thm)],[5639])).
% 24.23/15.95 tff(5641,plain,
% 24.23/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB31, constB32)) | (~v90(constB31, bitIndex1)) | v100(constB32) | v90(constB32, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB31, bitIndex1)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, bitIndex1))),
% 24.23/15.95 inference(transitivity,[status(thm)],[5640, 5638])).
% 24.23/15.95 tff(5642,plain,
% 24.23/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB31, constB32)) | (~v90(constB31, bitIndex1)) | v100(constB32) | v90(constB32, bitIndex1))),
% 24.23/15.95 inference(quant_inst,[status(thm)],[])).
% 24.23/15.95 tff(5643,plain,
% 24.23/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB31, bitIndex1)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, bitIndex1)),
% 24.23/15.95 inference(modus_ponens,[status(thm)],[5642, 5641])).
% 24.23/15.95 tff(5644,plain,
% 24.23/15.95 ((~v90(constB31, bitIndex1)) | v100(constB32) | v90(constB32, bitIndex1)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5643, 1601, 5437])).
% 24.23/15.95 tff(5645,plain,
% 24.23/15.95 (~v90(constB31, bitIndex1)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5644, 5637, 5599])).
% 24.23/15.95 tff(5646,assumption,(~v90(constB31, bitIndex2)), introduced(assumption)).
% 24.23/15.95 tff(5647,plain,
% 24.23/15.95 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB31, bitIndex0) | v90(constB31, bitIndex1) | v90(constB31, bitIndex2) | v119(constB31))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB31, bitIndex0) | v90(constB31, bitIndex1) | v90(constB31, bitIndex2) | v119(constB31))),
% 24.23/15.95 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5648,plain,
% 24.23/15.95 ((v90(constB31, bitIndex0) | v119(constB31) | v90(constB31, bitIndex1) | v90(constB31, bitIndex2)) <=> (v90(constB31, bitIndex0) | v90(constB31, bitIndex1) | v90(constB31, bitIndex2) | v119(constB31))),
% 24.23/15.95 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5649,plain,
% 24.23/15.95 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB31, bitIndex0) | v119(constB31) | v90(constB31, bitIndex1) | v90(constB31, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB31, bitIndex0) | v90(constB31, bitIndex1) | v90(constB31, bitIndex2) | v119(constB31)))),
% 24.23/15.95 inference(monotonicity,[status(thm)],[5648])).
% 24.23/15.95 tff(5650,plain,
% 24.23/15.95 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB31, bitIndex0) | v119(constB31) | v90(constB31, bitIndex1) | v90(constB31, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB31, bitIndex0) | v90(constB31, bitIndex1) | v90(constB31, bitIndex2) | v119(constB31))),
% 24.23/15.95 inference(transitivity,[status(thm)],[5649, 5647])).
% 24.23/15.95 tff(5651,plain,
% 24.23/15.95 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB31, bitIndex0) | v119(constB31) | v90(constB31, bitIndex1) | v90(constB31, bitIndex2))),
% 24.23/15.95 inference(quant_inst,[status(thm)],[])).
% 24.23/15.95 tff(5652,plain,
% 24.23/15.95 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB31, bitIndex0) | v90(constB31, bitIndex1) | v90(constB31, bitIndex2) | v119(constB31)),
% 24.23/15.95 inference(modus_ponens,[status(thm)],[5651, 5650])).
% 24.23/15.95 tff(5653,plain,
% 24.23/15.95 (v90(constB31, bitIndex0) | v90(constB31, bitIndex1) | v119(constB31)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5652, 955, 5646])).
% 24.23/15.95 tff(5654,plain,
% 24.23/15.95 (v119(constB31)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5653, 5645, 5604])).
% 24.23/15.95 tff(5655,plain,
% 24.23/15.95 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB31) | (~v119(constB31)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB31) | (~v119(constB31)))),
% 24.23/15.95 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5656,plain,
% 24.23/15.95 (((~v119(constB31)) | v118(constB31)) <=> (v118(constB31) | (~v119(constB31)))),
% 24.23/15.95 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5657,plain,
% 24.23/15.95 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB31)) | v118(constB31))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB31) | (~v119(constB31))))),
% 24.23/15.95 inference(monotonicity,[status(thm)],[5656])).
% 24.23/15.95 tff(5658,plain,
% 24.23/15.95 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB31)) | v118(constB31))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB31) | (~v119(constB31)))),
% 24.23/15.95 inference(transitivity,[status(thm)],[5657, 5655])).
% 24.23/15.95 tff(5659,plain,
% 24.23/15.95 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB31)) | v118(constB31))),
% 24.23/15.95 inference(quant_inst,[status(thm)],[])).
% 24.23/15.95 tff(5660,plain,
% 24.23/15.95 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB31) | (~v119(constB31))),
% 24.23/15.95 inference(modus_ponens,[status(thm)],[5659, 5658])).
% 24.23/15.95 tff(5661,plain,
% 24.23/15.95 (v118(constB31)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5660, 969, 5654])).
% 24.23/15.95 tff(5662,plain,
% 24.23/15.95 (v117(constB31)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5593, 980, 5661])).
% 24.23/15.95 tff(5663,plain,
% 24.23/15.95 (v116(constB31)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5586, 994, 5662])).
% 24.23/15.95 tff(5664,plain,
% 24.23/15.95 (v115(constB31)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5403, 1008, 5663])).
% 24.23/15.95 tff(5665,plain,
% 24.23/15.95 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB31) | (~v26(constB31)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v26(constB31)))),
% 24.23/15.95 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5666,plain,
% 24.23/15.95 (((~v26(constB31)) | v108(constB31)) <=> (v108(constB31) | (~v26(constB31)))),
% 24.23/15.95 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5667,plain,
% 24.23/15.95 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB31)) | v108(constB31))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB31) | (~v26(constB31))))),
% 24.23/15.95 inference(monotonicity,[status(thm)],[5666])).
% 24.23/15.95 tff(5668,plain,
% 24.23/15.95 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB31)) | v108(constB31))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v26(constB31)))),
% 24.23/15.95 inference(transitivity,[status(thm)],[5667, 5665])).
% 24.23/15.95 tff(5669,plain,
% 24.23/15.95 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB31)) | v108(constB31))),
% 24.23/15.95 inference(quant_inst,[status(thm)],[])).
% 24.23/15.95 tff(5670,plain,
% 24.23/15.95 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v26(constB31))),
% 24.23/15.95 inference(modus_ponens,[status(thm)],[5669, 5668])).
% 24.23/15.95 tff(5671,plain,
% 24.23/15.95 (~v26(constB31)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5670, 2441, 5575])).
% 24.23/15.95 tff(5672,plain,
% 24.23/15.95 (~v113(constB31)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5425, 1050, 5671, 5576])).
% 24.23/15.95 tff(5673,plain,
% 24.23/15.95 (~v114(constB31)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5417, 1036, 5672])).
% 24.23/15.95 tff(5674,plain,
% 24.23/15.95 ($false),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5410, 1022, 5673, 5664])).
% 24.23/15.95 tff(5675,plain,(v108(constB31) | v90(constB31, bitIndex0) | v90(constB31, bitIndex2) | v90(constB32, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 24.23/15.95 tff(5676,plain,
% 24.23/15.95 (v90(constB31, bitIndex2)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5675, 5604, 5575, 5599])).
% 24.23/15.95 tff(5677,plain,
% 24.23/15.95 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB31, bitIndex0) | v90(constB31, bitIndex1) | (~v90(constB31, bitIndex2)) | v123(constB31))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB31, bitIndex0) | v90(constB31, bitIndex1) | (~v90(constB31, bitIndex2)) | v123(constB31))),
% 24.23/15.95 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5678,plain,
% 24.23/15.95 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB31, bitIndex0) | v90(constB31, bitIndex1) | (~v90(constB31, bitIndex2)) | v123(constB31))),
% 24.23/15.95 inference(quant_inst,[status(thm)],[])).
% 24.23/15.95 tff(5679,plain,
% 24.23/15.95 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB31, bitIndex0) | v90(constB31, bitIndex1) | (~v90(constB31, bitIndex2)) | v123(constB31)),
% 24.23/15.95 inference(modus_ponens,[status(thm)],[5678, 5677])).
% 24.23/15.95 tff(5680,plain,
% 24.23/15.95 (v90(constB31, bitIndex0) | (~v90(constB31, bitIndex2)) | v123(constB31)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5679, 1401, 5645])).
% 24.23/15.95 tff(5681,plain,
% 24.23/15.95 ($false),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5680, 5676, 5604, 5603])).
% 24.23/15.95 tff(5682,plain,(v90(constB31, bitIndex0) | v108(constB31) | v90(constB32, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 24.23/15.95 tff(5683,plain,
% 24.23/15.95 (v90(constB31, bitIndex0)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5682, 5575, 5599])).
% 24.23/15.95 tff(5684,plain,
% 24.23/15.95 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB31)) | v114(constB31))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB31)) | v114(constB31))),
% 24.23/15.95 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5685,plain,
% 24.23/15.95 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB31)) | v114(constB31))),
% 24.23/15.95 inference(quant_inst,[status(thm)],[])).
% 24.23/15.95 tff(5686,plain,
% 24.23/15.95 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB31)) | v114(constB31)),
% 24.23/15.95 inference(modus_ponens,[status(thm)],[5685, 5684])).
% 24.23/15.95 tff(5687,plain,
% 24.23/15.95 (~v124(constB31)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5686, 4721, 5578])).
% 24.23/15.95 tff(5688,plain,
% 24.23/15.95 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB31, bitIndex0)) | v90(constB31, bitIndex1) | (~v90(constB31, bitIndex2)) | v124(constB31))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB31, bitIndex0)) | v90(constB31, bitIndex1) | (~v90(constB31, bitIndex2)) | v124(constB31))),
% 24.23/15.95 inference(rewrite,[status(thm)],[])).
% 24.23/15.95 tff(5689,plain,
% 24.23/15.95 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB31, bitIndex0)) | v90(constB31, bitIndex1) | (~v90(constB31, bitIndex2)) | v124(constB31))),
% 24.23/15.95 inference(quant_inst,[status(thm)],[])).
% 24.23/15.95 tff(5690,plain,
% 24.23/15.95 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB31, bitIndex0)) | v90(constB31, bitIndex1) | (~v90(constB31, bitIndex2)) | v124(constB31)),
% 24.23/15.95 inference(modus_ponens,[status(thm)],[5689, 5688])).
% 24.23/15.95 tff(5691,plain,
% 24.23/15.95 ((~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex2)) | v124(constB31)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5690, 4735, 5645])).
% 24.23/15.95 tff(5692,plain,
% 24.23/15.95 (~v90(constB31, bitIndex2)),
% 24.23/15.95 inference(unit_resolution,[status(thm)],[5691, 5683, 5687])).
% 24.23/15.95 tff(5693,plain,
% 24.23/15.95 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB31, bitIndex0)) | v90(constB31, bitIndex1) | v90(constB31, bitIndex2) | v120(constB31))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB31, bitIndex0)) | v90(constB31, bitIndex1) | v90(constB31, bitIndex2) | v120(constB31))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5694,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB31, bitIndex0)) | v90(constB31, bitIndex1) | v90(constB31, bitIndex2) | v120(constB31))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5695,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB31, bitIndex0)) | v90(constB31, bitIndex1) | v90(constB31, bitIndex2) | v120(constB31)),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5694, 5693])).
% 24.23/15.96 tff(5696,plain,
% 24.23/15.96 ((~v90(constB31, bitIndex0)) | v90(constB31, bitIndex2) | v120(constB31)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5695, 2012, 5645])).
% 24.23/15.96 tff(5697,plain,
% 24.23/15.96 ($false),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5696, 5692, 5683, 5598])).
% 24.23/15.96 tff(5698,plain,(v108(constB31) | v90(constB32, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 24.23/15.96 tff(5699,plain,
% 24.23/15.96 (v108(constB31)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5698, 5574])).
% 24.23/15.96 tff(5700,plain,
% 24.23/15.96 (v110(constB32)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5444, 5699])).
% 24.23/15.96 tff(5701,plain,
% 24.23/15.96 (v100(constB32)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5467, 5700])).
% 24.23/15.96 tff(5702,plain,
% 24.23/15.96 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB32, bitIndex0) | (~v129(constB32, bitIndex0)) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB32, bitIndex0) | (~v129(constB32, bitIndex0)) | (~v100(constB32)))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5703,plain,
% 24.23/15.96 ((v90(constB32, bitIndex0) | (~v100(constB32)) | (~v129(constB32, bitIndex0))) <=> (v90(constB32, bitIndex0) | (~v129(constB32, bitIndex0)) | (~v100(constB32)))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5704,plain,
% 24.23/15.96 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB32, bitIndex0) | (~v100(constB32)) | (~v129(constB32, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB32, bitIndex0) | (~v129(constB32, bitIndex0)) | (~v100(constB32))))),
% 24.23/15.96 inference(monotonicity,[status(thm)],[5703])).
% 24.23/15.96 tff(5705,plain,
% 24.23/15.96 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB32, bitIndex0) | (~v100(constB32)) | (~v129(constB32, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB32, bitIndex0) | (~v129(constB32, bitIndex0)) | (~v100(constB32)))),
% 24.23/15.96 inference(transitivity,[status(thm)],[5704, 5702])).
% 24.23/15.96 tff(5706,plain,
% 24.23/15.96 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB32, bitIndex0) | (~v100(constB32)) | (~v129(constB32, bitIndex0)))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5707,plain,
% 24.23/15.96 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB32, bitIndex0) | (~v129(constB32, bitIndex0)) | (~v100(constB32))),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5706, 5705])).
% 24.23/15.96 tff(5708,plain,
% 24.23/15.96 (v90(constB32, bitIndex0) | (~v129(constB32, bitIndex0))),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5707, 1975, 5701])).
% 24.23/15.96 tff(5709,plain,
% 24.23/15.96 (~v129(constB32, bitIndex0)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5708, 5564])).
% 24.23/15.96 tff(5710,plain,
% 24.23/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB31, constB32)) | (~v127(constB31, bitIndex0)) | v129(constB32, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB31, constB32)) | (~v127(constB31, bitIndex0)) | v129(constB32, bitIndex0))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5711,plain,
% 24.23/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB31, constB32)) | (~v127(constB31, bitIndex0)) | v129(constB32, bitIndex0))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5712,plain,
% 24.23/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB31, constB32)) | (~v127(constB31, bitIndex0)) | v129(constB32, bitIndex0)),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5711, 5710])).
% 24.23/15.96 tff(5713,plain,
% 24.23/15.96 ((~v127(constB31, bitIndex0)) | v129(constB32, bitIndex0)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5712, 1960, 5437])).
% 24.23/15.96 tff(5714,plain,
% 24.23/15.96 (~v127(constB31, bitIndex0)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5713, 5709])).
% 24.23/15.96 tff(5715,plain,
% 24.23/15.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB31) | (~v130(constB31, bitIndex0)) | v127(constB31, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB31) | (~v130(constB31, bitIndex0)) | v127(constB31, bitIndex0))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5716,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB31) | (~v130(constB31, bitIndex0)) | v127(constB31, bitIndex0))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5717,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB31) | (~v130(constB31, bitIndex0)) | v127(constB31, bitIndex0)),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5716, 5715])).
% 24.23/15.96 tff(5718,plain,
% 24.23/15.96 ((~v130(constB31, bitIndex0)) | v127(constB31, bitIndex0)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5717, 1945, 5422])).
% 24.23/15.96 tff(5719,plain,
% 24.23/15.96 (~v130(constB31, bitIndex0)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5718, 5714])).
% 24.23/15.96 tff(5720,assumption,(~v123(constB33)), introduced(assumption)).
% 24.23/15.96 tff(5721,plain,
% 24.23/15.96 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5722,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5723,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33)),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5722, 5721])).
% 24.23/15.96 tff(5724,plain,
% 24.23/15.96 (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2))),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5723, 1401, 5720])).
% 24.23/15.96 tff(5725,plain,
% 24.23/15.96 (~v90(constB33, bitIndex2)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5724, 5555, 5565])).
% 24.23/15.96 tff(5726,plain,
% 24.23/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5727,plain,
% 24.23/15.96 (((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2)) <=> ((~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5728,plain,
% 24.23/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2)))),
% 24.23/15.96 inference(monotonicity,[status(thm)],[5727])).
% 24.23/15.96 tff(5729,plain,
% 24.23/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))),
% 24.23/15.96 inference(transitivity,[status(thm)],[5728, 5726])).
% 24.23/15.96 tff(5730,plain,
% 24.23/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5731,plain,
% 24.23/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2)),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5730, 5729])).
% 24.23/15.96 tff(5732,plain,
% 24.23/15.96 ((~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5731, 1240, 5499])).
% 24.23/15.96 tff(5733,plain,
% 24.23/15.96 ((~v90(constB32, bitIndex2)) | v90(constB33, bitIndex2)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5732, 5511])).
% 24.23/15.96 tff(5734,plain,
% 24.23/15.96 (~v90(constB32, bitIndex2)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5733, 5725])).
% 24.23/15.96 tff(5735,plain,
% 24.23/15.96 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5736,plain,
% 24.23/15.96 ((v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2))) <=> (v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5737,plain,
% 24.23/15.96 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32))))),
% 24.23/15.96 inference(monotonicity,[status(thm)],[5736])).
% 24.23/15.96 tff(5738,plain,
% 24.23/15.96 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))),
% 24.23/15.96 inference(transitivity,[status(thm)],[5737, 5735])).
% 24.23/15.96 tff(5739,plain,
% 24.23/15.96 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2)))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5740,plain,
% 24.23/15.96 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32))),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5739, 5738])).
% 24.23/15.96 tff(5741,plain,
% 24.23/15.96 (v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2))),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5740, 1204, 5701])).
% 24.23/15.96 tff(5742,plain,
% 24.23/15.96 (~v129(constB32, bitIndex2)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5741, 5734])).
% 24.23/15.96 tff(5743,plain,
% 24.23/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5744,plain,
% 24.23/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5745,plain,
% 24.23/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2)),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5744, 5743])).
% 24.23/15.96 tff(5746,plain,
% 24.23/15.96 ((~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5745, 1189, 5437])).
% 24.23/15.96 tff(5747,plain,
% 24.23/15.96 (~v127(constB31, bitIndex2)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5746, 5742])).
% 24.23/15.96 tff(5748,plain,
% 24.23/15.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5749,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5750,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2)),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5749, 5748])).
% 24.23/15.96 tff(5751,plain,
% 24.23/15.96 ((~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5750, 1174, 5422])).
% 24.23/15.96 tff(5752,plain,
% 24.23/15.96 (~v130(constB31, bitIndex2)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5751, 5747])).
% 24.23/15.96 tff(5753,plain,
% 24.23/15.96 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB31)) | v130(constB31, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB31)) | v130(constB31, bitIndex2))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5754,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB31)) | v130(constB31, bitIndex2))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5755,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB31)) | v130(constB31, bitIndex2)),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5754, 5753])).
% 24.23/15.96 tff(5756,plain,
% 24.23/15.96 (~v122(constB31)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5755, 2736, 5752])).
% 24.23/15.96 tff(5757,plain,
% 24.23/15.96 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB31)) | v130(constB31, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB31)) | v130(constB31, bitIndex2))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5758,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB31)) | v130(constB31, bitIndex2))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5759,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB31)) | v130(constB31, bitIndex2)),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5758, 5757])).
% 24.23/15.96 tff(5760,plain,
% 24.23/15.96 (~v119(constB31)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5759, 1160, 5752])).
% 24.23/15.96 tff(5761,plain,
% 24.23/15.96 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB32, bitIndex1) | (~v129(constB32, bitIndex1)) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB32, bitIndex1) | (~v129(constB32, bitIndex1)) | (~v100(constB32)))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5762,plain,
% 24.23/15.96 ((v90(constB32, bitIndex1) | (~v100(constB32)) | (~v129(constB32, bitIndex1))) <=> (v90(constB32, bitIndex1) | (~v129(constB32, bitIndex1)) | (~v100(constB32)))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5763,plain,
% 24.23/15.96 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB32, bitIndex1) | (~v100(constB32)) | (~v129(constB32, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB32, bitIndex1) | (~v129(constB32, bitIndex1)) | (~v100(constB32))))),
% 24.23/15.96 inference(monotonicity,[status(thm)],[5762])).
% 24.23/15.96 tff(5764,plain,
% 24.23/15.96 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB32, bitIndex1) | (~v100(constB32)) | (~v129(constB32, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB32, bitIndex1) | (~v129(constB32, bitIndex1)) | (~v100(constB32)))),
% 24.23/15.96 inference(transitivity,[status(thm)],[5763, 5761])).
% 24.23/15.96 tff(5765,plain,
% 24.23/15.96 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB32, bitIndex1) | (~v100(constB32)) | (~v129(constB32, bitIndex1)))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5766,plain,
% 24.23/15.96 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB32, bitIndex1) | (~v129(constB32, bitIndex1)) | (~v100(constB32))),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5765, 5764])).
% 24.23/15.96 tff(5767,plain,
% 24.23/15.96 (~v129(constB32, bitIndex1)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5766, 1583, 5701, 5574])).
% 24.23/15.96 tff(5768,plain,
% 24.23/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB31, constB32)) | (~v127(constB31, bitIndex1)) | v129(constB32, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB31, constB32)) | (~v127(constB31, bitIndex1)) | v129(constB32, bitIndex1))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5769,plain,
% 24.23/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB31, constB32)) | (~v127(constB31, bitIndex1)) | v129(constB32, bitIndex1))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5770,plain,
% 24.23/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB31, constB32)) | (~v127(constB31, bitIndex1)) | v129(constB32, bitIndex1)),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5769, 5768])).
% 24.23/15.96 tff(5771,plain,
% 24.23/15.96 ((~v127(constB31, bitIndex1)) | v129(constB32, bitIndex1)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5770, 1568, 5437])).
% 24.23/15.96 tff(5772,plain,
% 24.23/15.96 (~v127(constB31, bitIndex1)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5771, 5767])).
% 24.23/15.96 tff(5773,plain,
% 24.23/15.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB31) | (~v130(constB31, bitIndex1)) | v127(constB31, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB31) | (~v130(constB31, bitIndex1)) | v127(constB31, bitIndex1))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5774,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB31) | (~v130(constB31, bitIndex1)) | v127(constB31, bitIndex1))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5775,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB31) | (~v130(constB31, bitIndex1)) | v127(constB31, bitIndex1)),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5774, 5773])).
% 24.23/15.96 tff(5776,plain,
% 24.23/15.96 ((~v130(constB31, bitIndex1)) | v127(constB31, bitIndex1)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5775, 1553, 5422])).
% 24.23/15.96 tff(5777,plain,
% 24.23/15.96 (~v130(constB31, bitIndex1)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5776, 5772])).
% 24.23/15.96 tff(5778,plain,
% 24.23/15.96 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB31)) | v130(constB31, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB31)) | v130(constB31, bitIndex1))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5779,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB31)) | v130(constB31, bitIndex1))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5780,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB31)) | v130(constB31, bitIndex1)),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5779, 5778])).
% 24.23/15.96 tff(5781,plain,
% 24.23/15.96 (~v121(constB31)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5780, 2562, 5777])).
% 24.23/15.96 tff(5782,plain,
% 24.23/15.96 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB31)) | v130(constB31, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB31)) | v130(constB31, bitIndex1))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5783,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB31)) | v130(constB31, bitIndex1))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5784,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB31)) | v130(constB31, bitIndex1)),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5783, 5782])).
% 24.23/15.96 tff(5785,plain,
% 24.23/15.96 (~v123(constB31)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5784, 1539, 5777])).
% 24.23/15.96 tff(5786,plain,
% 24.23/15.96 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB31)) | v130(constB31, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB31)) | v130(constB31, bitIndex1))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5787,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB31)) | v130(constB31, bitIndex1))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5788,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB31)) | v130(constB31, bitIndex1)),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5787, 5786])).
% 24.23/15.96 tff(5789,plain,
% 24.23/15.96 (~v124(constB31)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5788, 4652, 5777])).
% 24.23/15.96 tff(5790,plain,
% 24.23/15.96 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB31)) | v130(constB31, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB31)) | v130(constB31, bitIndex1))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5791,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB31)) | v130(constB31, bitIndex1))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5792,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB31)) | v130(constB31, bitIndex1)),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5791, 5790])).
% 24.23/15.96 tff(5793,plain,
% 24.23/15.96 (~v120(constB31)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5792, 2034, 5777])).
% 24.23/15.96 tff(5794,plain,
% 24.23/15.96 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB31) | v120(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | v130(constB31, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB31) | v120(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | v130(constB31, bitIndex0))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5795,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB31) | v120(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | v130(constB31, bitIndex0))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5796,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB31) | v120(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | v130(constB31, bitIndex0)),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5795, 5794])).
% 24.23/15.96 tff(5797,plain,
% 24.23/15.96 (v119(constB31) | v122(constB31) | v130(constB31, bitIndex0)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5796, 1931, 5793, 5789, 5785, 5781])).
% 24.23/15.96 tff(5798,plain,
% 24.23/15.96 ($false),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5797, 5760, 5756, 5719])).
% 24.23/15.96 tff(5799,plain,(v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | v123(constB33)), inference(lemma,lemma(discharge,[]))).
% 24.23/15.96 tff(5800,plain,
% 24.23/15.96 (v123(constB33)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5799, 5554, 5520])).
% 24.23/15.96 tff(5801,plain,
% 24.23/15.96 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB33)) | v130(constB33, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB33)) | v130(constB33, bitIndex2))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5802,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB33)) | v130(constB33, bitIndex2))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5803,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB33)) | v130(constB33, bitIndex2)),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5802, 5801])).
% 24.23/15.96 tff(5804,plain,
% 24.23/15.96 (v130(constB33, bitIndex2)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5803, 1483, 5800])).
% 24.23/15.96 tff(5805,assumption,(v26(constB33)), introduced(assumption)).
% 24.23/15.96 tff(5806,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB33))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5807,plain,
% 24.23/15.96 ($false),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5806, 797, 5805])).
% 24.23/15.96 tff(5808,plain,(~v26(constB33)), inference(lemma,lemma(discharge,[]))).
% 24.23/15.96 tff(5809,plain,
% 24.23/15.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5810,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5811,plain,
% 24.23/15.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2)),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5810, 5809])).
% 24.23/15.96 tff(5812,plain,
% 24.23/15.96 ((~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5811, 1174, 5808])).
% 24.23/15.96 tff(5813,plain,
% 24.23/15.96 (v127(constB33, bitIndex2)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5812, 5804])).
% 24.23/15.96 tff(5814,plain,
% 24.23/15.96 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5815,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_33_1')).
% 24.23/15.96 tff(5816,plain,
% 24.23/15.96 (nextState(constB33, constB34)),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5815, 5814])).
% 24.23/15.96 tff(5817,plain,
% 24.23/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5818,plain,
% 24.23/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5819,plain,
% 24.23/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2)),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5818, 5817])).
% 24.23/15.96 tff(5820,plain,
% 24.23/15.96 ((~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5819, 1189, 5816])).
% 24.23/15.96 tff(5821,plain,
% 24.23/15.96 (v129(constB34, bitIndex2)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5820, 5813])).
% 24.23/15.96 tff(5822,assumption,(~v100(constB34)), introduced(assumption)).
% 24.23/15.96 tff(5823,plain,
% 24.23/15.96 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5824,plain,
% 24.23/15.96 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5825,plain,
% 24.23/15.96 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34))),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5824, 5823])).
% 24.23/15.96 tff(5826,plain,
% 24.23/15.96 (~v104(constB34)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5825, 1100, 5816, 5496])).
% 24.23/15.96 tff(5827,plain,
% 24.23/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5828,plain,
% 24.23/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5829,plain,
% 24.23/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v102(constB34) | v104(constB34)),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5828, 5827])).
% 24.23/15.96 tff(5830,plain,
% 24.23/15.96 (v102(constB34) | v104(constB34)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5829, 1114, 5816])).
% 24.23/15.96 tff(5831,plain,
% 24.23/15.96 (v102(constB34)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5830, 5826])).
% 24.23/15.96 tff(5832,plain,
% 24.23/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5833,plain,
% 24.23/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))),
% 24.23/15.96 inference(quant_inst,[status(thm)],[])).
% 24.23/15.96 tff(5834,plain,
% 24.23/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34))),
% 24.23/15.96 inference(modus_ponens,[status(thm)],[5833, 5832])).
% 24.23/15.96 tff(5835,plain,
% 24.23/15.96 (v101(constB34) | (~v102(constB34))),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5834, 1129, 5816, 251])).
% 24.23/15.96 tff(5836,plain,
% 24.23/15.96 (v101(constB34)),
% 24.23/15.96 inference(unit_resolution,[status(thm)],[5835, 5831])).
% 24.23/15.96 tff(5837,plain,
% 24.23/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5838,plain,
% 24.23/15.96 (((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34)) <=> ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 24.23/15.96 inference(rewrite,[status(thm)],[])).
% 24.23/15.96 tff(5839,plain,
% 24.23/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34))))),
% 24.23/15.96 inference(monotonicity,[status(thm)],[5838])).
% 24.23/15.96 tff(5840,plain,
% 24.23/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 24.23/15.97 inference(transitivity,[status(thm)],[5839, 5837])).
% 24.23/15.97 tff(5841,plain,
% 24.23/15.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))),
% 24.23/15.97 inference(quant_inst,[status(thm)],[])).
% 24.23/15.97 tff(5842,plain,
% 24.23/15.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 24.23/15.97 inference(modus_ponens,[status(thm)],[5841, 5840])).
% 24.23/15.97 tff(5843,plain,
% 24.23/15.97 (v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5842, 1144, 5816])).
% 24.23/15.97 tff(5844,plain,
% 24.23/15.97 (v100(constB34) | (~v110(constB34))),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5843, 5836])).
% 24.23/15.97 tff(5845,plain,
% 24.23/15.97 (~v110(constB34)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5844, 5822])).
% 24.23/15.97 tff(5846,plain,
% 24.23/15.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5847,plain,
% 24.23/15.97 (((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34)) <=> ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5848,plain,
% 24.23/15.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33))))),
% 24.23/15.97 inference(monotonicity,[status(thm)],[5847])).
% 24.23/15.97 tff(5849,plain,
% 24.23/15.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 24.23/15.97 inference(transitivity,[status(thm)],[5848, 5846])).
% 24.23/15.97 tff(5850,plain,
% 24.23/15.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))),
% 24.23/15.97 inference(quant_inst,[status(thm)],[])).
% 24.23/15.97 tff(5851,plain,
% 24.23/15.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33))),
% 24.23/15.97 inference(modus_ponens,[status(thm)],[5850, 5849])).
% 24.23/15.97 tff(5852,plain,
% 24.23/15.97 (v110(constB34) | (~v108(constB33))),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5851, 1082, 5816])).
% 24.23/15.97 tff(5853,plain,
% 24.23/15.97 (~v108(constB33)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5852, 5845])).
% 24.23/15.97 tff(5854,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB33) | (~v112(constB33)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v112(constB33)))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5855,plain,
% 24.23/15.97 (((~v112(constB33)) | v108(constB33)) <=> (v108(constB33) | (~v112(constB33)))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5856,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB33)) | v108(constB33))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB33) | (~v112(constB33))))),
% 24.23/15.97 inference(monotonicity,[status(thm)],[5855])).
% 24.23/15.97 tff(5857,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB33)) | v108(constB33))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v112(constB33)))),
% 24.23/15.97 inference(transitivity,[status(thm)],[5856, 5854])).
% 24.23/15.97 tff(5858,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB33)) | v108(constB33))),
% 24.23/15.97 inference(quant_inst,[status(thm)],[])).
% 24.23/15.97 tff(5859,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v112(constB33))),
% 24.23/15.97 inference(modus_ponens,[status(thm)],[5858, 5857])).
% 24.23/15.97 tff(5860,plain,
% 24.23/15.97 (~v112(constB33)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5859, 1062, 5853])).
% 24.23/15.97 tff(5861,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | (~v113(constB33)) | v112(constB33))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5862,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))),
% 24.23/15.97 inference(quant_inst,[status(thm)],[])).
% 24.23/15.97 tff(5863,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | (~v113(constB33)) | v112(constB33)),
% 24.23/15.97 inference(modus_ponens,[status(thm)],[5862, 5861])).
% 24.23/15.97 tff(5864,plain,
% 24.23/15.97 ((~v113(constB33)) | v112(constB33)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5863, 1050, 5808])).
% 24.23/15.97 tff(5865,plain,
% 24.23/15.97 (~v113(constB33)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5864, 5860])).
% 24.23/15.97 tff(5866,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB33) | (~v114(constB33)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB33) | (~v114(constB33)))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5867,plain,
% 24.23/15.97 (((~v114(constB33)) | v113(constB33)) <=> (v113(constB33) | (~v114(constB33)))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5868,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB33)) | v113(constB33))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB33) | (~v114(constB33))))),
% 24.23/15.97 inference(monotonicity,[status(thm)],[5867])).
% 24.23/15.97 tff(5869,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB33)) | v113(constB33))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB33) | (~v114(constB33)))),
% 24.23/15.97 inference(transitivity,[status(thm)],[5868, 5866])).
% 24.23/15.97 tff(5870,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB33)) | v113(constB33))),
% 24.23/15.97 inference(quant_inst,[status(thm)],[])).
% 24.23/15.97 tff(5871,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB33) | (~v114(constB33))),
% 24.23/15.97 inference(modus_ponens,[status(thm)],[5870, 5869])).
% 24.23/15.97 tff(5872,plain,
% 24.23/15.97 (~v114(constB33)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5871, 1036, 5865])).
% 24.23/15.97 tff(5873,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB33) | (~v115(constB33)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB33) | (~v115(constB33)))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5874,plain,
% 24.23/15.97 (((~v115(constB33)) | v114(constB33)) <=> (v114(constB33) | (~v115(constB33)))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5875,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB33)) | v114(constB33))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB33) | (~v115(constB33))))),
% 24.23/15.97 inference(monotonicity,[status(thm)],[5874])).
% 24.23/15.97 tff(5876,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB33)) | v114(constB33))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB33) | (~v115(constB33)))),
% 24.23/15.97 inference(transitivity,[status(thm)],[5875, 5873])).
% 24.23/15.97 tff(5877,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB33)) | v114(constB33))),
% 24.23/15.97 inference(quant_inst,[status(thm)],[])).
% 24.23/15.97 tff(5878,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB33) | (~v115(constB33))),
% 24.23/15.97 inference(modus_ponens,[status(thm)],[5877, 5876])).
% 24.23/15.97 tff(5879,plain,
% 24.23/15.97 (~v115(constB33)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5878, 1022, 5872])).
% 24.23/15.97 tff(5880,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB33) | (~v116(constB33)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB33) | (~v116(constB33)))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5881,plain,
% 24.23/15.97 (((~v116(constB33)) | v115(constB33)) <=> (v115(constB33) | (~v116(constB33)))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5882,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB33)) | v115(constB33))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB33) | (~v116(constB33))))),
% 24.23/15.97 inference(monotonicity,[status(thm)],[5881])).
% 24.23/15.97 tff(5883,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB33)) | v115(constB33))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB33) | (~v116(constB33)))),
% 24.23/15.97 inference(transitivity,[status(thm)],[5882, 5880])).
% 24.23/15.97 tff(5884,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB33)) | v115(constB33))),
% 24.23/15.97 inference(quant_inst,[status(thm)],[])).
% 24.23/15.97 tff(5885,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB33) | (~v116(constB33))),
% 24.23/15.97 inference(modus_ponens,[status(thm)],[5884, 5883])).
% 24.23/15.97 tff(5886,plain,
% 24.23/15.97 (~v116(constB33)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5885, 1008, 5879])).
% 24.23/15.97 tff(5887,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB33) | (~v117(constB33)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB33) | (~v117(constB33)))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5888,plain,
% 24.23/15.97 (((~v117(constB33)) | v116(constB33)) <=> (v116(constB33) | (~v117(constB33)))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5889,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB33)) | v116(constB33))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB33) | (~v117(constB33))))),
% 24.23/15.97 inference(monotonicity,[status(thm)],[5888])).
% 24.23/15.97 tff(5890,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB33)) | v116(constB33))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB33) | (~v117(constB33)))),
% 24.23/15.97 inference(transitivity,[status(thm)],[5889, 5887])).
% 24.23/15.97 tff(5891,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB33)) | v116(constB33))),
% 24.23/15.97 inference(quant_inst,[status(thm)],[])).
% 24.23/15.97 tff(5892,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB33) | (~v117(constB33))),
% 24.23/15.97 inference(modus_ponens,[status(thm)],[5891, 5890])).
% 24.23/15.97 tff(5893,plain,
% 24.23/15.97 (~v117(constB33)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5892, 994, 5886])).
% 24.23/15.97 tff(5894,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB33) | (~v121(constB33)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB33) | (~v121(constB33)))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5895,plain,
% 24.23/15.97 (((~v121(constB33)) | v117(constB33)) <=> (v117(constB33) | (~v121(constB33)))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5896,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB33)) | v117(constB33))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB33) | (~v121(constB33))))),
% 24.23/15.97 inference(monotonicity,[status(thm)],[5895])).
% 24.23/15.97 tff(5897,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB33)) | v117(constB33))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB33) | (~v121(constB33)))),
% 24.23/15.97 inference(transitivity,[status(thm)],[5896, 5894])).
% 24.23/15.97 tff(5898,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB33)) | v117(constB33))),
% 24.23/15.97 inference(quant_inst,[status(thm)],[])).
% 24.23/15.97 tff(5899,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB33) | (~v121(constB33))),
% 24.23/15.97 inference(modus_ponens,[status(thm)],[5898, 5897])).
% 24.23/15.97 tff(5900,plain,
% 24.23/15.97 (~v121(constB33)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5899, 2102, 5893])).
% 24.23/15.97 tff(5901,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB33) | (~v118(constB33)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB33) | (~v118(constB33)))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5902,plain,
% 24.23/15.97 (((~v118(constB33)) | v117(constB33)) <=> (v117(constB33) | (~v118(constB33)))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5903,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB33)) | v117(constB33))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB33) | (~v118(constB33))))),
% 24.23/15.97 inference(monotonicity,[status(thm)],[5902])).
% 24.23/15.97 tff(5904,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB33)) | v117(constB33))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB33) | (~v118(constB33)))),
% 24.23/15.97 inference(transitivity,[status(thm)],[5903, 5901])).
% 24.23/15.97 tff(5905,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB33)) | v117(constB33))),
% 24.23/15.97 inference(quant_inst,[status(thm)],[])).
% 24.23/15.97 tff(5906,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB33) | (~v118(constB33))),
% 24.23/15.97 inference(modus_ponens,[status(thm)],[5905, 5904])).
% 24.23/15.97 tff(5907,plain,
% 24.23/15.97 (~v118(constB33)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5906, 980, 5893])).
% 24.23/15.97 tff(5908,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB33) | (~v119(constB33)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB33) | (~v119(constB33)))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5909,plain,
% 24.23/15.97 (((~v119(constB33)) | v118(constB33)) <=> (v118(constB33) | (~v119(constB33)))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5910,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB33)) | v118(constB33))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB33) | (~v119(constB33))))),
% 24.23/15.97 inference(monotonicity,[status(thm)],[5909])).
% 24.23/15.97 tff(5911,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB33)) | v118(constB33))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB33) | (~v119(constB33)))),
% 24.23/15.97 inference(transitivity,[status(thm)],[5910, 5908])).
% 24.23/15.97 tff(5912,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB33)) | v118(constB33))),
% 24.23/15.97 inference(quant_inst,[status(thm)],[])).
% 24.23/15.97 tff(5913,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB33) | (~v119(constB33))),
% 24.23/15.97 inference(modus_ponens,[status(thm)],[5912, 5911])).
% 24.23/15.97 tff(5914,plain,
% 24.23/15.97 (~v119(constB33)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5913, 969, 5907])).
% 24.23/15.97 tff(5915,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB33) | (~v122(constB33)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB33) | (~v122(constB33)))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5916,plain,
% 24.23/15.97 (((~v122(constB33)) | v116(constB33)) <=> (v116(constB33) | (~v122(constB33)))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5917,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB33)) | v116(constB33))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB33) | (~v122(constB33))))),
% 24.23/15.97 inference(monotonicity,[status(thm)],[5916])).
% 24.23/15.97 tff(5918,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB33)) | v116(constB33))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB33) | (~v122(constB33)))),
% 24.23/15.97 inference(transitivity,[status(thm)],[5917, 5915])).
% 24.23/15.97 tff(5919,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB33)) | v116(constB33))),
% 24.23/15.97 inference(quant_inst,[status(thm)],[])).
% 24.23/15.97 tff(5920,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB33) | (~v122(constB33))),
% 24.23/15.97 inference(modus_ponens,[status(thm)],[5919, 5918])).
% 24.23/15.97 tff(5921,plain,
% 24.23/15.97 (~v122(constB33)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5920, 2652, 5886])).
% 24.23/15.97 tff(5922,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB33)) | v118(constB33))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB33)) | v118(constB33))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5923,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB33)) | v118(constB33))),
% 24.23/15.97 inference(quant_inst,[status(thm)],[])).
% 24.23/15.97 tff(5924,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB33)) | v118(constB33)),
% 24.23/15.97 inference(modus_ponens,[status(thm)],[5923, 5922])).
% 24.23/15.97 tff(5925,plain,
% 24.23/15.97 (~v120(constB33)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5924, 2210, 5907])).
% 24.23/15.97 tff(5926,assumption,(~v90(constB33, bitIndex2)), introduced(assumption)).
% 24.23/15.97 tff(5927,assumption,(~v120(constB33)), introduced(assumption)).
% 24.23/15.97 tff(5928,assumption,(~v119(constB33)), introduced(assumption)).
% 24.23/15.97 tff(5929,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v120(constB33))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v120(constB33))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5930,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v120(constB33))),
% 24.23/15.97 inference(quant_inst,[status(thm)],[])).
% 24.23/15.97 tff(5931,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v120(constB33)),
% 24.23/15.97 inference(modus_ponens,[status(thm)],[5930, 5929])).
% 24.23/15.97 tff(5932,plain,
% 24.23/15.97 ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5931, 2012, 5927])).
% 24.23/15.97 tff(5933,plain,
% 24.23/15.97 (~v90(constB33, bitIndex0)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5932, 5565, 5926])).
% 24.23/15.97 tff(5934,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v119(constB33))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v119(constB33))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5935,plain,
% 24.23/15.97 ((v90(constB33, bitIndex0) | v119(constB33) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2)) <=> (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v119(constB33))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5936,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB33, bitIndex0) | v119(constB33) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v119(constB33)))),
% 24.23/15.97 inference(monotonicity,[status(thm)],[5935])).
% 24.23/15.97 tff(5937,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB33, bitIndex0) | v119(constB33) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v119(constB33))),
% 24.23/15.97 inference(transitivity,[status(thm)],[5936, 5934])).
% 24.23/15.97 tff(5938,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB33, bitIndex0) | v119(constB33) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2))),
% 24.23/15.97 inference(quant_inst,[status(thm)],[])).
% 24.23/15.97 tff(5939,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v119(constB33)),
% 24.23/15.97 inference(modus_ponens,[status(thm)],[5938, 5937])).
% 24.23/15.97 tff(5940,plain,
% 24.23/15.97 (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5939, 955, 5928])).
% 24.23/15.97 tff(5941,plain,
% 24.23/15.97 ($false),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5940, 5933, 5565, 5926])).
% 24.23/15.97 tff(5942,plain,(v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v119(constB33) | v120(constB33)), inference(lemma,lemma(discharge,[]))).
% 24.23/15.97 tff(5943,plain,
% 24.23/15.97 (v90(constB33, bitIndex1)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5942, 5926, 5928, 5927])).
% 24.23/15.97 tff(5944,assumption,(~v122(constB33)), introduced(assumption)).
% 24.23/15.97 tff(5945,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB33, bitIndex0)) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v122(constB33))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB33, bitIndex0)) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v122(constB33))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5946,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB33, bitIndex0)) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v122(constB33))),
% 24.23/15.97 inference(quant_inst,[status(thm)],[])).
% 24.23/15.97 tff(5947,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB33, bitIndex0)) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v122(constB33)),
% 24.23/15.97 inference(modus_ponens,[status(thm)],[5946, 5945])).
% 24.23/15.97 tff(5948,plain,
% 24.23/15.97 ((~v90(constB33, bitIndex0)) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5947, 2641, 5944])).
% 24.23/15.97 tff(5949,plain,
% 24.23/15.97 (~v90(constB33, bitIndex0)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5948, 5943, 5926])).
% 24.23/15.97 tff(5950,assumption,(~v121(constB33)), introduced(assumption)).
% 24.23/15.97 tff(5951,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v121(constB33))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v121(constB33))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5952,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v121(constB33))),
% 24.23/15.97 inference(quant_inst,[status(thm)],[])).
% 24.23/15.97 tff(5953,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v121(constB33)),
% 24.23/15.97 inference(modus_ponens,[status(thm)],[5952, 5951])).
% 24.23/15.97 tff(5954,plain,
% 24.23/15.97 (v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5953, 2145, 5950])).
% 24.23/15.97 tff(5955,plain,
% 24.23/15.97 ($false),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5954, 5949, 5943, 5926])).
% 24.23/15.97 tff(5956,plain,(v90(constB33, bitIndex2) | v121(constB33) | v122(constB33) | v119(constB33) | v120(constB33)), inference(lemma,lemma(discharge,[]))).
% 24.23/15.97 tff(5957,plain,
% 24.23/15.97 (v90(constB33, bitIndex2)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5956, 5925, 5921, 5914, 5900])).
% 24.23/15.97 tff(5958,plain,
% 24.23/15.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex2)))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5959,plain,
% 24.23/15.97 (((~nextState(constB32, constB33)) | v90(constB32, bitIndex2) | v100(constB33) | (~v90(constB33, bitIndex2))) <=> (v90(constB32, bitIndex2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex2)))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5960,plain,
% 24.23/15.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex2) | v100(constB33) | (~v90(constB33, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex2))))),
% 24.23/15.97 inference(monotonicity,[status(thm)],[5959])).
% 24.23/15.97 tff(5961,plain,
% 24.23/15.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex2) | v100(constB33) | (~v90(constB33, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex2)))),
% 24.23/15.97 inference(transitivity,[status(thm)],[5960, 5958])).
% 24.23/15.97 tff(5962,plain,
% 24.23/15.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex2) | v100(constB33) | (~v90(constB33, bitIndex2)))),
% 24.23/15.97 inference(quant_inst,[status(thm)],[])).
% 24.23/15.97 tff(5963,plain,
% 24.23/15.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex2))),
% 24.23/15.97 inference(modus_ponens,[status(thm)],[5962, 5961])).
% 24.23/15.97 tff(5964,plain,
% 24.23/15.97 (v90(constB32, bitIndex2) | v100(constB33) | (~v90(constB33, bitIndex2))),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5963, 892, 5499])).
% 24.23/15.97 tff(5965,plain,
% 24.23/15.97 (v90(constB32, bitIndex2) | (~v90(constB33, bitIndex2))),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5964, 5511])).
% 24.23/15.97 tff(5966,plain,
% 24.23/15.97 (v90(constB32, bitIndex2)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5965, 5957])).
% 24.23/15.97 tff(5967,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB33)) | v114(constB33))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB33)) | v114(constB33))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5968,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB33)) | v114(constB33))),
% 24.23/15.97 inference(quant_inst,[status(thm)],[])).
% 24.23/15.97 tff(5969,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB33)) | v114(constB33)),
% 24.23/15.97 inference(modus_ponens,[status(thm)],[5968, 5967])).
% 24.23/15.97 tff(5970,plain,
% 24.23/15.97 (~v124(constB33)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5969, 4721, 5872])).
% 24.23/15.97 tff(5971,assumption,(v90(constB33, bitIndex2)), introduced(assumption)).
% 24.23/15.97 tff(5972,plain,
% 24.23/15.97 (v90(constB33, bitIndex0)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5724, 5565, 5971])).
% 24.23/15.97 tff(5973,assumption,(~v124(constB33)), introduced(assumption)).
% 24.23/15.97 tff(5974,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v124(constB33))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v124(constB33))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5975,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v124(constB33))),
% 24.23/15.97 inference(quant_inst,[status(thm)],[])).
% 24.23/15.97 tff(5976,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v124(constB33)),
% 24.23/15.97 inference(modus_ponens,[status(thm)],[5975, 5974])).
% 24.23/15.97 tff(5977,plain,
% 24.23/15.97 ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2))),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5976, 4735, 5973])).
% 24.23/15.97 tff(5978,plain,
% 24.23/15.97 ($false),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5977, 5972, 5565, 5971])).
% 24.23/15.97 tff(5979,plain,(v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v124(constB33) | v123(constB33)), inference(lemma,lemma(discharge,[]))).
% 24.23/15.97 tff(5980,plain,
% 24.23/15.97 (v90(constB33, bitIndex1)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5979, 5957, 5970, 5720])).
% 24.23/15.97 tff(5981,plain,
% 24.23/15.97 (v90(constB32, bitIndex1)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5553, 5980])).
% 24.23/15.97 tff(5982,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB33)) | v113(constB33))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB33)) | v113(constB33))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5983,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB33)) | v113(constB33))),
% 24.23/15.97 inference(quant_inst,[status(thm)],[])).
% 24.23/15.97 tff(5984,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB33)) | v113(constB33)),
% 24.23/15.97 inference(modus_ponens,[status(thm)],[5983, 5982])).
% 24.23/15.97 tff(5985,plain,
% 24.23/15.97 (~v125(constB33)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5984, 1672, 5865])).
% 24.23/15.97 tff(5986,plain,
% 24.23/15.97 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | (~v90(constB33, bitIndex2)) | v125(constB33))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | (~v90(constB33, bitIndex2)) | v125(constB33))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5987,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | (~v90(constB33, bitIndex2)) | v125(constB33))),
% 24.23/15.97 inference(quant_inst,[status(thm)],[])).
% 24.23/15.97 tff(5988,plain,
% 24.23/15.97 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | (~v90(constB33, bitIndex2)) | v125(constB33)),
% 24.23/15.97 inference(modus_ponens,[status(thm)],[5987, 5986])).
% 24.23/15.97 tff(5989,plain,
% 24.23/15.97 (v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | (~v90(constB33, bitIndex2))),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5988, 1661, 5985])).
% 24.23/15.97 tff(5990,plain,
% 24.23/15.97 (v90(constB33, bitIndex0)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5989, 5980, 5957])).
% 24.23/15.97 tff(5991,plain,
% 24.23/15.97 (v90(constB32, bitIndex0)),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5519, 5990])).
% 24.23/15.97 tff(5992,assumption,(v100(constB32)), introduced(assumption)).
% 24.23/15.97 tff(5993,assumption,(v90(constB32, bitIndex2)), introduced(assumption)).
% 24.23/15.97 tff(5994,plain,
% 24.23/15.97 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB32, bitIndex2)) | v129(constB32, bitIndex2) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB32, bitIndex2)) | v129(constB32, bitIndex2) | (~v100(constB32)))),
% 24.23/15.97 inference(rewrite,[status(thm)],[])).
% 24.23/15.97 tff(5995,plain,
% 24.23/15.97 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB32, bitIndex2)) | v129(constB32, bitIndex2) | (~v100(constB32)))),
% 24.23/15.97 inference(quant_inst,[status(thm)],[])).
% 24.23/15.97 tff(5996,plain,
% 24.23/15.97 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB32, bitIndex2)) | v129(constB32, bitIndex2) | (~v100(constB32))),
% 24.23/15.97 inference(modus_ponens,[status(thm)],[5995, 5994])).
% 24.23/15.97 tff(5997,plain,
% 24.23/15.97 (v129(constB32, bitIndex2) | (~v100(constB32))),
% 24.23/15.97 inference(unit_resolution,[status(thm)],[5996, 1845, 5993])).
% 24.23/15.98 tff(5998,plain,
% 24.23/15.98 (v129(constB32, bitIndex2)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[5997, 5992])).
% 24.23/15.98 tff(5999,plain,
% 24.23/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex2) | (~v129(constB32, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex2) | (~v129(constB32, bitIndex2)))),
% 24.23/15.98 inference(rewrite,[status(thm)],[])).
% 24.23/15.98 tff(6000,plain,
% 24.23/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex2) | (~v129(constB32, bitIndex2)))),
% 24.23/15.98 inference(quant_inst,[status(thm)],[])).
% 24.23/15.98 tff(6001,plain,
% 24.23/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex2) | (~v129(constB32, bitIndex2))),
% 24.23/15.98 inference(modus_ponens,[status(thm)],[6000, 5999])).
% 24.23/15.98 tff(6002,plain,
% 24.23/15.98 (v127(constB31, bitIndex2) | (~v129(constB32, bitIndex2))),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6001, 1830, 5437])).
% 24.23/15.98 tff(6003,plain,
% 24.23/15.98 (v127(constB31, bitIndex2)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6002, 5998])).
% 24.23/15.98 tff(6004,plain,
% 24.23/15.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB31, bitIndex2)) | v26(constB31) | v130(constB31, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB31, bitIndex2)) | v26(constB31) | v130(constB31, bitIndex2))),
% 24.23/15.98 inference(rewrite,[status(thm)],[])).
% 24.23/15.98 tff(6005,plain,
% 24.23/15.98 ((v26(constB31) | v130(constB31, bitIndex2) | (~v127(constB31, bitIndex2))) <=> ((~v127(constB31, bitIndex2)) | v26(constB31) | v130(constB31, bitIndex2))),
% 24.23/15.98 inference(rewrite,[status(thm)],[])).
% 24.23/15.98 tff(6006,plain,
% 24.23/15.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB31) | v130(constB31, bitIndex2) | (~v127(constB31, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB31, bitIndex2)) | v26(constB31) | v130(constB31, bitIndex2)))),
% 24.23/15.98 inference(monotonicity,[status(thm)],[6005])).
% 24.23/15.98 tff(6007,plain,
% 24.23/15.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB31) | v130(constB31, bitIndex2) | (~v127(constB31, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB31, bitIndex2)) | v26(constB31) | v130(constB31, bitIndex2))),
% 24.23/15.98 inference(transitivity,[status(thm)],[6006, 6004])).
% 24.23/15.98 tff(6008,plain,
% 24.23/15.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB31) | v130(constB31, bitIndex2) | (~v127(constB31, bitIndex2)))),
% 24.23/15.98 inference(quant_inst,[status(thm)],[])).
% 24.23/15.98 tff(6009,plain,
% 24.23/15.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB31, bitIndex2)) | v26(constB31) | v130(constB31, bitIndex2)),
% 24.23/15.98 inference(modus_ponens,[status(thm)],[6008, 6007])).
% 24.23/15.98 tff(6010,plain,
% 24.23/15.98 ((~v127(constB31, bitIndex2)) | v130(constB31, bitIndex2)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6009, 1812, 5422])).
% 24.23/15.98 tff(6011,plain,
% 24.23/15.98 (v130(constB31, bitIndex2)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6010, 6003])).
% 24.23/15.98 tff(6012,plain,
% 24.23/15.98 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB31)) | (~v130(constB31, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB31)) | (~v130(constB31, bitIndex2)))),
% 24.23/15.98 inference(rewrite,[status(thm)],[])).
% 24.23/15.98 tff(6013,plain,
% 24.23/15.98 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB31)) | (~v130(constB31, bitIndex2)))),
% 24.23/15.98 inference(quant_inst,[status(thm)],[])).
% 24.23/15.98 tff(6014,plain,
% 24.23/15.98 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB31)) | (~v130(constB31, bitIndex2))),
% 24.23/15.98 inference(modus_ponens,[status(thm)],[6013, 6012])).
% 24.23/15.98 tff(6015,plain,
% 24.23/15.98 (~v124(constB31)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6014, 4807, 6011])).
% 24.23/15.98 tff(6016,assumption,(v90(constB32, bitIndex0)), introduced(assumption)).
% 24.23/15.98 tff(6017,plain,
% 24.23/15.98 (v129(constB32, bitIndex0) | (~v100(constB32))),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[5491, 1374, 6016])).
% 24.23/15.98 tff(6018,plain,
% 24.23/15.98 (v129(constB32, bitIndex0)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6017, 5992])).
% 24.23/15.98 tff(6019,plain,
% 24.23/15.98 (v127(constB31, bitIndex0)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[5484, 6018])).
% 24.23/15.98 tff(6020,plain,
% 24.23/15.98 (v130(constB31, bitIndex0)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[5479, 6019])).
% 24.23/15.98 tff(6021,plain,
% 24.23/15.98 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB31)) | (~v130(constB31, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB31)) | (~v130(constB31, bitIndex0)))),
% 24.23/15.98 inference(rewrite,[status(thm)],[])).
% 24.23/15.98 tff(6022,plain,
% 24.23/15.98 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB31)) | (~v130(constB31, bitIndex0)))),
% 24.23/15.98 inference(quant_inst,[status(thm)],[])).
% 24.23/15.98 tff(6023,plain,
% 24.23/15.98 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB31)) | (~v130(constB31, bitIndex0))),
% 24.23/15.98 inference(modus_ponens,[status(thm)],[6022, 6021])).
% 24.23/15.98 tff(6024,plain,
% 24.23/15.98 (~v123(constB31)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6023, 1617, 6020])).
% 24.23/15.98 tff(6025,assumption,(v90(constB32, bitIndex1)), introduced(assumption)).
% 24.23/15.98 tff(6026,plain,
% 24.23/15.98 (v129(constB32, bitIndex1) | (~v100(constB32))),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[5543, 1303, 6025])).
% 24.23/15.98 tff(6027,plain,
% 24.23/15.98 (v129(constB32, bitIndex1)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6026, 5992])).
% 24.23/15.98 tff(6028,plain,
% 24.23/15.98 (v127(constB31, bitIndex1)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[5536, 6027])).
% 24.23/15.98 tff(6029,plain,
% 24.23/15.98 (v130(constB31, bitIndex1)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[5531, 6028])).
% 24.23/15.98 tff(6030,plain,
% 24.23/15.98 (~v122(constB31)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[5523, 2792, 6029])).
% 24.23/15.98 tff(6031,plain,
% 24.23/15.98 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB31)) | (~v130(constB31, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB31)) | (~v130(constB31, bitIndex2)))),
% 24.23/15.98 inference(rewrite,[status(thm)],[])).
% 24.23/15.98 tff(6032,plain,
% 24.23/15.98 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB31)) | (~v130(constB31, bitIndex2)))),
% 24.23/15.98 inference(quant_inst,[status(thm)],[])).
% 24.23/15.98 tff(6033,plain,
% 24.23/15.98 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB31)) | (~v130(constB31, bitIndex2))),
% 24.23/15.98 inference(modus_ponens,[status(thm)],[6032, 6031])).
% 24.23/15.98 tff(6034,plain,
% 24.23/15.98 (~v121(constB31)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6033, 2406, 6011])).
% 24.23/15.98 tff(6035,plain,
% 24.23/15.98 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB31)) | (~v130(constB31, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB31)) | (~v130(constB31, bitIndex1)))),
% 24.23/15.98 inference(rewrite,[status(thm)],[])).
% 24.23/15.98 tff(6036,plain,
% 24.23/15.98 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB31)) | (~v130(constB31, bitIndex1)))),
% 24.23/15.98 inference(quant_inst,[status(thm)],[])).
% 24.23/15.98 tff(6037,plain,
% 24.23/15.98 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB31)) | (~v130(constB31, bitIndex1))),
% 24.23/15.98 inference(modus_ponens,[status(thm)],[6036, 6035])).
% 24.23/15.98 tff(6038,plain,
% 24.23/15.98 (~v119(constB31)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6037, 1256, 6029])).
% 24.23/15.98 tff(6039,plain,
% 24.23/15.98 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB31)) | (~v130(constB31, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB31)) | (~v130(constB31, bitIndex2)))),
% 24.23/15.98 inference(rewrite,[status(thm)],[])).
% 24.23/15.98 tff(6040,plain,
% 24.23/15.98 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB31)) | (~v130(constB31, bitIndex2)))),
% 24.23/15.98 inference(quant_inst,[status(thm)],[])).
% 24.23/15.98 tff(6041,plain,
% 24.23/15.98 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB31)) | (~v130(constB31, bitIndex2))),
% 24.23/15.98 inference(modus_ponens,[status(thm)],[6040, 6039])).
% 24.23/15.98 tff(6042,plain,
% 24.23/15.98 (~v120(constB31)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6041, 2231, 6011])).
% 24.23/15.98 tff(6043,plain,
% 24.23/15.98 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB31) | v120(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | (~v130(constB31, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB31) | v120(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | (~v130(constB31, bitIndex1)))),
% 24.23/15.98 inference(rewrite,[status(thm)],[])).
% 24.23/15.98 tff(6044,plain,
% 24.23/15.98 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB31) | v120(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | (~v130(constB31, bitIndex1)))),
% 24.23/15.98 inference(quant_inst,[status(thm)],[])).
% 24.23/15.98 tff(6045,plain,
% 24.23/15.98 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB31) | v120(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | (~v130(constB31, bitIndex1))),
% 24.23/15.98 inference(modus_ponens,[status(thm)],[6044, 6043])).
% 24.23/15.98 tff(6046,plain,
% 24.23/15.98 (v119(constB31) | v120(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6045, 1887, 6029])).
% 24.23/15.98 tff(6047,plain,
% 24.23/15.98 ($false),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6046, 6042, 6038, 6034, 6030, 6024, 6015])).
% 24.23/15.98 tff(6048,plain,((~v100(constB32)) | (~v90(constB32, bitIndex0)) | (~v90(constB32, bitIndex2)) | (~v90(constB32, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 24.23/15.98 tff(6049,plain,
% 24.23/15.98 (~v100(constB32)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6048, 5991, 5966, 5981])).
% 24.23/15.98 tff(6050,plain,
% 24.23/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB31, bitIndex2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB31, bitIndex2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex2)))),
% 24.23/15.98 inference(rewrite,[status(thm)],[])).
% 24.23/15.98 tff(6051,plain,
% 24.23/15.98 (((~nextState(constB31, constB32)) | v90(constB31, bitIndex2) | v100(constB32) | (~v90(constB32, bitIndex2))) <=> (v90(constB31, bitIndex2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex2)))),
% 24.23/15.98 inference(rewrite,[status(thm)],[])).
% 24.23/15.98 tff(6052,plain,
% 24.23/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex2) | v100(constB32) | (~v90(constB32, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB31, bitIndex2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex2))))),
% 24.23/15.98 inference(monotonicity,[status(thm)],[6051])).
% 24.23/15.98 tff(6053,plain,
% 24.23/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex2) | v100(constB32) | (~v90(constB32, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB31, bitIndex2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex2)))),
% 24.23/15.98 inference(transitivity,[status(thm)],[6052, 6050])).
% 24.23/15.98 tff(6054,plain,
% 24.23/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex2) | v100(constB32) | (~v90(constB32, bitIndex2)))),
% 24.23/15.98 inference(quant_inst,[status(thm)],[])).
% 24.23/15.98 tff(6055,plain,
% 24.23/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB31, bitIndex2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex2))),
% 24.23/15.98 inference(modus_ponens,[status(thm)],[6054, 6053])).
% 24.23/15.98 tff(6056,plain,
% 24.23/15.98 (v90(constB31, bitIndex2) | v100(constB32) | (~v90(constB32, bitIndex2))),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6055, 892, 5437])).
% 24.23/15.98 tff(6057,plain,
% 24.23/15.98 (v90(constB31, bitIndex2)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6056, 6049, 5966])).
% 24.23/15.98 tff(6058,plain,
% 24.23/15.98 (v90(constB30, bitIndex2)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[5323, 6057])).
% 24.23/15.98 tff(6059,plain,
% 24.23/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB31, bitIndex0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB31, bitIndex0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex0)))),
% 24.23/15.98 inference(rewrite,[status(thm)],[])).
% 24.23/15.98 tff(6060,plain,
% 24.23/15.98 (((~nextState(constB31, constB32)) | v90(constB31, bitIndex0) | v100(constB32) | (~v90(constB32, bitIndex0))) <=> (v90(constB31, bitIndex0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex0)))),
% 24.23/15.98 inference(rewrite,[status(thm)],[])).
% 24.23/15.98 tff(6061,plain,
% 24.23/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex0) | v100(constB32) | (~v90(constB32, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB31, bitIndex0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex0))))),
% 24.23/15.98 inference(monotonicity,[status(thm)],[6060])).
% 24.23/15.98 tff(6062,plain,
% 24.23/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex0) | v100(constB32) | (~v90(constB32, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB31, bitIndex0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex0)))),
% 24.23/15.98 inference(transitivity,[status(thm)],[6061, 6059])).
% 24.23/15.98 tff(6063,plain,
% 24.23/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex0) | v100(constB32) | (~v90(constB32, bitIndex0)))),
% 24.23/15.98 inference(quant_inst,[status(thm)],[])).
% 24.23/15.98 tff(6064,plain,
% 24.23/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB31, bitIndex0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex0))),
% 24.23/15.98 inference(modus_ponens,[status(thm)],[6063, 6062])).
% 24.23/15.98 tff(6065,plain,
% 24.23/15.98 (v90(constB31, bitIndex0) | v100(constB32) | (~v90(constB32, bitIndex0))),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6064, 934, 5437])).
% 24.23/15.98 tff(6066,plain,
% 24.23/15.98 (v90(constB31, bitIndex0)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6065, 6049, 5991])).
% 24.23/15.98 tff(6067,plain,
% 24.23/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex0)))),
% 24.23/15.98 inference(rewrite,[status(thm)],[])).
% 24.23/15.98 tff(6068,plain,
% 24.23/15.98 (((~nextState(constB30, constB31)) | v90(constB30, bitIndex0) | v100(constB31) | (~v90(constB31, bitIndex0))) <=> (v90(constB30, bitIndex0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex0)))),
% 24.23/15.98 inference(rewrite,[status(thm)],[])).
% 24.23/15.98 tff(6069,plain,
% 24.23/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex0) | v100(constB31) | (~v90(constB31, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex0))))),
% 24.23/15.98 inference(monotonicity,[status(thm)],[6068])).
% 24.23/15.98 tff(6070,plain,
% 24.23/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex0) | v100(constB31) | (~v90(constB31, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex0)))),
% 24.23/15.98 inference(transitivity,[status(thm)],[6069, 6067])).
% 24.23/15.98 tff(6071,plain,
% 24.23/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex0) | v100(constB31) | (~v90(constB31, bitIndex0)))),
% 24.23/15.98 inference(quant_inst,[status(thm)],[])).
% 24.23/15.98 tff(6072,plain,
% 24.23/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex0))),
% 24.23/15.98 inference(modus_ponens,[status(thm)],[6071, 6070])).
% 24.23/15.98 tff(6073,plain,
% 24.23/15.98 (v90(constB30, bitIndex0) | v100(constB31) | (~v90(constB31, bitIndex0))),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6072, 934, 5303])).
% 24.23/15.98 tff(6074,plain,
% 24.23/15.98 (v90(constB30, bitIndex0) | (~v90(constB31, bitIndex0))),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6073, 5315])).
% 24.23/15.98 tff(6075,plain,
% 24.23/15.98 (v90(constB30, bitIndex0)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6074, 6066])).
% 24.23/15.98 tff(6076,plain,
% 24.23/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB33, bitIndex1)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB33, bitIndex1)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex1))),
% 24.23/15.98 inference(rewrite,[status(thm)],[])).
% 24.23/15.98 tff(6077,plain,
% 24.23/15.98 (((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex1)) | v100(constB34) | v90(constB34, bitIndex1)) <=> ((~v90(constB33, bitIndex1)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex1))),
% 24.23/15.98 inference(rewrite,[status(thm)],[])).
% 24.23/15.98 tff(6078,plain,
% 24.23/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex1)) | v100(constB34) | v90(constB34, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB33, bitIndex1)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex1)))),
% 24.23/15.98 inference(monotonicity,[status(thm)],[6077])).
% 24.23/15.98 tff(6079,plain,
% 24.23/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex1)) | v100(constB34) | v90(constB34, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB33, bitIndex1)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex1))),
% 24.23/15.98 inference(transitivity,[status(thm)],[6078, 6076])).
% 24.23/15.98 tff(6080,plain,
% 24.23/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex1)) | v100(constB34) | v90(constB34, bitIndex1))),
% 24.23/15.98 inference(quant_inst,[status(thm)],[])).
% 24.23/15.98 tff(6081,plain,
% 24.23/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB33, bitIndex1)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex1)),
% 24.23/15.98 inference(modus_ponens,[status(thm)],[6080, 6079])).
% 24.23/15.98 tff(6082,plain,
% 24.23/15.98 ((~v90(constB33, bitIndex1)) | v100(constB34) | v90(constB34, bitIndex1)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6081, 1601, 5816])).
% 24.23/15.98 tff(6083,plain,
% 24.23/15.98 (v90(constB34, bitIndex1)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6082, 5980, 5822])).
% 24.23/15.98 tff(6084,plain,
% 24.23/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB33, bitIndex2)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB33, bitIndex2)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex2))),
% 24.23/15.98 inference(rewrite,[status(thm)],[])).
% 24.23/15.98 tff(6085,plain,
% 24.23/15.98 (((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex2)) | v100(constB34) | v90(constB34, bitIndex2)) <=> ((~v90(constB33, bitIndex2)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex2))),
% 24.23/15.98 inference(rewrite,[status(thm)],[])).
% 24.23/15.98 tff(6086,plain,
% 24.23/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex2)) | v100(constB34) | v90(constB34, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB33, bitIndex2)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex2)))),
% 24.23/15.98 inference(monotonicity,[status(thm)],[6085])).
% 24.23/15.98 tff(6087,plain,
% 24.23/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex2)) | v100(constB34) | v90(constB34, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB33, bitIndex2)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex2))),
% 24.23/15.98 inference(transitivity,[status(thm)],[6086, 6084])).
% 24.23/15.98 tff(6088,plain,
% 24.23/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex2)) | v100(constB34) | v90(constB34, bitIndex2))),
% 24.23/15.98 inference(quant_inst,[status(thm)],[])).
% 24.23/15.98 tff(6089,plain,
% 24.23/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB33, bitIndex2)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex2)),
% 24.23/15.98 inference(modus_ponens,[status(thm)],[6088, 6087])).
% 24.23/15.98 tff(6090,plain,
% 24.23/15.98 ((~v90(constB33, bitIndex2)) | v100(constB34) | v90(constB34, bitIndex2)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6089, 1240, 5816])).
% 24.23/15.98 tff(6091,plain,
% 24.23/15.98 (v90(constB34, bitIndex2)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6090, 5957, 5822])).
% 24.23/15.98 tff(6092,plain,
% 24.23/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB33, bitIndex0)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB33, bitIndex0)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex0))),
% 24.23/15.98 inference(rewrite,[status(thm)],[])).
% 24.23/15.98 tff(6093,plain,
% 24.23/15.98 (((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex0)) | v100(constB34) | v90(constB34, bitIndex0)) <=> ((~v90(constB33, bitIndex0)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex0))),
% 24.23/15.98 inference(rewrite,[status(thm)],[])).
% 24.23/15.98 tff(6094,plain,
% 24.23/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex0)) | v100(constB34) | v90(constB34, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB33, bitIndex0)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex0)))),
% 24.23/15.98 inference(monotonicity,[status(thm)],[6093])).
% 24.23/15.98 tff(6095,plain,
% 24.23/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex0)) | v100(constB34) | v90(constB34, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB33, bitIndex0)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex0))),
% 24.23/15.98 inference(transitivity,[status(thm)],[6094, 6092])).
% 24.23/15.98 tff(6096,plain,
% 24.23/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex0)) | v100(constB34) | v90(constB34, bitIndex0))),
% 24.23/15.98 inference(quant_inst,[status(thm)],[])).
% 24.23/15.98 tff(6097,plain,
% 24.23/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB33, bitIndex0)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex0)),
% 24.23/15.98 inference(modus_ponens,[status(thm)],[6096, 6095])).
% 24.23/15.98 tff(6098,plain,
% 24.23/15.98 ((~v90(constB33, bitIndex0)) | v100(constB34) | v90(constB34, bitIndex0)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6097, 1993, 5816])).
% 24.23/15.98 tff(6099,plain,
% 24.23/15.98 (v90(constB34, bitIndex0)),
% 24.23/15.98 inference(unit_resolution,[status(thm)],[6098, 5990, 5822])).
% 24.23/15.99 tff(6100,assumption,(v90(constB34, bitIndex1)), introduced(assumption)).
% 24.23/15.99 tff(6101,plain,
% 24.23/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB33, bitIndex1) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB33, bitIndex1) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex1)))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6102,plain,
% 24.23/15.99 (((~nextState(constB33, constB34)) | v90(constB33, bitIndex1) | v100(constB34) | (~v90(constB34, bitIndex1))) <=> (v90(constB33, bitIndex1) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex1)))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6103,plain,
% 24.23/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB33, constB34)) | v90(constB33, bitIndex1) | v100(constB34) | (~v90(constB34, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB33, bitIndex1) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex1))))),
% 24.23/15.99 inference(monotonicity,[status(thm)],[6102])).
% 24.23/15.99 tff(6104,plain,
% 24.23/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB33, constB34)) | v90(constB33, bitIndex1) | v100(constB34) | (~v90(constB34, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB33, bitIndex1) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex1)))),
% 24.23/15.99 inference(transitivity,[status(thm)],[6103, 6101])).
% 24.23/15.99 tff(6105,plain,
% 24.23/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB33, constB34)) | v90(constB33, bitIndex1) | v100(constB34) | (~v90(constB34, bitIndex1)))),
% 24.23/15.99 inference(quant_inst,[status(thm)],[])).
% 24.23/15.99 tff(6106,plain,
% 24.23/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB33, bitIndex1) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex1))),
% 24.23/15.99 inference(modus_ponens,[status(thm)],[6105, 6104])).
% 24.23/15.99 tff(6107,plain,
% 24.23/15.99 (v90(constB33, bitIndex1) | v100(constB34) | (~v90(constB34, bitIndex1))),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6106, 913, 5816])).
% 24.23/15.99 tff(6108,plain,
% 24.23/15.99 (v90(constB33, bitIndex1)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6107, 5822, 6100])).
% 24.23/15.99 tff(6109,plain,
% 24.23/15.99 (v90(constB32, bitIndex1)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[5553, 6108])).
% 24.23/15.99 tff(6110,assumption,(v90(constB34, bitIndex2)), introduced(assumption)).
% 24.23/15.99 tff(6111,plain,
% 24.23/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB33, bitIndex2) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB33, bitIndex2) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex2)))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6112,plain,
% 24.23/15.99 (((~nextState(constB33, constB34)) | v90(constB33, bitIndex2) | v100(constB34) | (~v90(constB34, bitIndex2))) <=> (v90(constB33, bitIndex2) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex2)))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6113,plain,
% 24.23/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB33, constB34)) | v90(constB33, bitIndex2) | v100(constB34) | (~v90(constB34, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB33, bitIndex2) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex2))))),
% 24.23/15.99 inference(monotonicity,[status(thm)],[6112])).
% 24.23/15.99 tff(6114,plain,
% 24.23/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB33, constB34)) | v90(constB33, bitIndex2) | v100(constB34) | (~v90(constB34, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB33, bitIndex2) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex2)))),
% 24.23/15.99 inference(transitivity,[status(thm)],[6113, 6111])).
% 24.23/15.99 tff(6115,plain,
% 24.23/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB33, constB34)) | v90(constB33, bitIndex2) | v100(constB34) | (~v90(constB34, bitIndex2)))),
% 24.23/15.99 inference(quant_inst,[status(thm)],[])).
% 24.23/15.99 tff(6116,plain,
% 24.23/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB33, bitIndex2) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex2))),
% 24.23/15.99 inference(modus_ponens,[status(thm)],[6115, 6114])).
% 24.23/15.99 tff(6117,plain,
% 24.23/15.99 (v90(constB33, bitIndex2) | v100(constB34) | (~v90(constB34, bitIndex2))),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6116, 892, 5816])).
% 24.23/15.99 tff(6118,plain,
% 24.23/15.99 (v90(constB33, bitIndex2)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6117, 5822, 6110])).
% 24.23/15.99 tff(6119,plain,
% 24.23/15.99 (v90(constB32, bitIndex2)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[5965, 6118])).
% 24.23/15.99 tff(6120,assumption,(v90(constB34, bitIndex0)), introduced(assumption)).
% 24.23/15.99 tff(6121,plain,
% 24.23/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB33, bitIndex0) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB33, bitIndex0) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex0)))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6122,plain,
% 24.23/15.99 (((~nextState(constB33, constB34)) | v90(constB33, bitIndex0) | v100(constB34) | (~v90(constB34, bitIndex0))) <=> (v90(constB33, bitIndex0) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex0)))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6123,plain,
% 24.23/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB33, constB34)) | v90(constB33, bitIndex0) | v100(constB34) | (~v90(constB34, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB33, bitIndex0) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex0))))),
% 24.23/15.99 inference(monotonicity,[status(thm)],[6122])).
% 24.23/15.99 tff(6124,plain,
% 24.23/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB33, constB34)) | v90(constB33, bitIndex0) | v100(constB34) | (~v90(constB34, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB33, bitIndex0) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex0)))),
% 24.23/15.99 inference(transitivity,[status(thm)],[6123, 6121])).
% 24.23/15.99 tff(6125,plain,
% 24.23/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB33, constB34)) | v90(constB33, bitIndex0) | v100(constB34) | (~v90(constB34, bitIndex0)))),
% 24.23/15.99 inference(quant_inst,[status(thm)],[])).
% 24.23/15.99 tff(6126,plain,
% 24.23/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB33, bitIndex0) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex0))),
% 24.23/15.99 inference(modus_ponens,[status(thm)],[6125, 6124])).
% 24.23/15.99 tff(6127,plain,
% 24.23/15.99 (v90(constB33, bitIndex0) | v100(constB34) | (~v90(constB34, bitIndex0))),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6126, 934, 5816])).
% 24.23/15.99 tff(6128,plain,
% 24.23/15.99 (v90(constB33, bitIndex0)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6127, 5822, 6120])).
% 24.23/15.99 tff(6129,plain,
% 24.23/15.99 (v90(constB32, bitIndex0)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[5519, 6128])).
% 24.23/15.99 tff(6130,plain,
% 24.23/15.99 (~v100(constB32)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6048, 6129, 6119, 6109])).
% 24.23/15.99 tff(6131,plain,
% 24.23/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB31, bitIndex1) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB31, bitIndex1) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex1)))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6132,plain,
% 24.23/15.99 (((~nextState(constB31, constB32)) | v90(constB31, bitIndex1) | v100(constB32) | (~v90(constB32, bitIndex1))) <=> (v90(constB31, bitIndex1) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex1)))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6133,plain,
% 24.23/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex1) | v100(constB32) | (~v90(constB32, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB31, bitIndex1) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex1))))),
% 24.23/15.99 inference(monotonicity,[status(thm)],[6132])).
% 24.23/15.99 tff(6134,plain,
% 24.23/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex1) | v100(constB32) | (~v90(constB32, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB31, bitIndex1) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex1)))),
% 24.23/15.99 inference(transitivity,[status(thm)],[6133, 6131])).
% 24.23/15.99 tff(6135,plain,
% 24.23/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex1) | v100(constB32) | (~v90(constB32, bitIndex1)))),
% 24.23/15.99 inference(quant_inst,[status(thm)],[])).
% 24.23/15.99 tff(6136,plain,
% 24.23/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB31, bitIndex1) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex1))),
% 24.23/15.99 inference(modus_ponens,[status(thm)],[6135, 6134])).
% 24.23/15.99 tff(6137,plain,
% 24.23/15.99 (v90(constB31, bitIndex1) | v100(constB32) | (~v90(constB32, bitIndex1))),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6136, 913, 5437])).
% 24.23/15.99 tff(6138,plain,
% 24.23/15.99 (v90(constB31, bitIndex1)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6137, 6130, 6109])).
% 24.23/15.99 tff(6139,plain,
% 24.23/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex1)))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6140,plain,
% 24.23/15.99 (((~nextState(constB30, constB31)) | v90(constB30, bitIndex1) | v100(constB31) | (~v90(constB31, bitIndex1))) <=> (v90(constB30, bitIndex1) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex1)))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6141,plain,
% 24.23/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex1) | v100(constB31) | (~v90(constB31, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex1))))),
% 24.23/15.99 inference(monotonicity,[status(thm)],[6140])).
% 24.23/15.99 tff(6142,plain,
% 24.23/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex1) | v100(constB31) | (~v90(constB31, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex1)))),
% 24.23/15.99 inference(transitivity,[status(thm)],[6141, 6139])).
% 24.23/15.99 tff(6143,plain,
% 24.23/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex1) | v100(constB31) | (~v90(constB31, bitIndex1)))),
% 24.23/15.99 inference(quant_inst,[status(thm)],[])).
% 24.23/15.99 tff(6144,plain,
% 24.23/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex1))),
% 24.23/15.99 inference(modus_ponens,[status(thm)],[6143, 6142])).
% 24.23/15.99 tff(6145,plain,
% 24.23/15.99 (v90(constB30, bitIndex1) | v100(constB31) | (~v90(constB31, bitIndex1))),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6144, 913, 5303])).
% 24.23/15.99 tff(6146,plain,
% 24.23/15.99 (v90(constB30, bitIndex1) | (~v90(constB31, bitIndex1))),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6145, 5315])).
% 24.23/15.99 tff(6147,plain,
% 24.23/15.99 (v90(constB30, bitIndex1)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6146, 6138])).
% 24.23/15.99 tff(6148,assumption,(~v90(constB29, bitIndex1)), introduced(assumption)).
% 24.23/15.99 tff(6149,plain,
% 24.23/15.99 (v90(constB31, bitIndex0)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6065, 6130, 6129])).
% 24.23/15.99 tff(6150,plain,
% 24.23/15.99 (v90(constB30, bitIndex0)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6074, 6149])).
% 24.23/15.99 tff(6151,plain,
% 24.23/15.99 (v90(constB31, bitIndex2)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6056, 6130, 6119])).
% 24.23/15.99 tff(6152,plain,
% 24.23/15.99 (v90(constB30, bitIndex2)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[5323, 6151])).
% 24.23/15.99 tff(6153,assumption,(v90(constB30, bitIndex1)), introduced(assumption)).
% 24.23/15.99 tff(6154,plain,
% 24.23/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB29, bitIndex1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB29, bitIndex1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex1)))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6155,plain,
% 24.23/15.99 (((~nextState(constB29, constB30)) | v90(constB29, bitIndex1) | v100(constB30) | (~v90(constB30, bitIndex1))) <=> (v90(constB29, bitIndex1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex1)))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6156,plain,
% 24.23/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex1) | v100(constB30) | (~v90(constB30, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB29, bitIndex1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex1))))),
% 24.23/15.99 inference(monotonicity,[status(thm)],[6155])).
% 24.23/15.99 tff(6157,plain,
% 24.23/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex1) | v100(constB30) | (~v90(constB30, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB29, bitIndex1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex1)))),
% 24.23/15.99 inference(transitivity,[status(thm)],[6156, 6154])).
% 24.23/15.99 tff(6158,plain,
% 24.23/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex1) | v100(constB30) | (~v90(constB30, bitIndex1)))),
% 24.23/15.99 inference(quant_inst,[status(thm)],[])).
% 24.23/15.99 tff(6159,plain,
% 24.23/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB29, bitIndex1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex1))),
% 24.23/15.99 inference(modus_ponens,[status(thm)],[6158, 6157])).
% 24.23/15.99 tff(6160,plain,
% 24.23/15.99 (v90(constB29, bitIndex1) | v100(constB30) | (~v90(constB30, bitIndex1))),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6159, 913, 5244])).
% 24.23/15.99 tff(6161,plain,
% 24.23/15.99 (v100(constB30)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6160, 6148, 6153])).
% 24.23/15.99 tff(6162,assumption,(v90(constB30, bitIndex0)), introduced(assumption)).
% 24.23/15.99 tff(6163,plain,
% 24.23/15.99 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | v129(constB30, bitIndex0) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | v129(constB30, bitIndex0) | (~v100(constB30)))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6164,plain,
% 24.23/15.99 (((~v90(constB30, bitIndex0)) | (~v100(constB30)) | v129(constB30, bitIndex0)) <=> ((~v90(constB30, bitIndex0)) | v129(constB30, bitIndex0) | (~v100(constB30)))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6165,plain,
% 24.23/15.99 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~v100(constB30)) | v129(constB30, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | v129(constB30, bitIndex0) | (~v100(constB30))))),
% 24.23/15.99 inference(monotonicity,[status(thm)],[6164])).
% 24.23/15.99 tff(6166,plain,
% 24.23/15.99 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~v100(constB30)) | v129(constB30, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | v129(constB30, bitIndex0) | (~v100(constB30)))),
% 24.23/15.99 inference(transitivity,[status(thm)],[6165, 6163])).
% 24.23/15.99 tff(6167,plain,
% 24.23/15.99 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~v100(constB30)) | v129(constB30, bitIndex0))),
% 24.23/15.99 inference(quant_inst,[status(thm)],[])).
% 24.23/15.99 tff(6168,plain,
% 24.23/15.99 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | v129(constB30, bitIndex0) | (~v100(constB30))),
% 24.23/15.99 inference(modus_ponens,[status(thm)],[6167, 6166])).
% 24.23/15.99 tff(6169,plain,
% 24.23/15.99 (v129(constB30, bitIndex0) | (~v100(constB30))),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6168, 1374, 6162])).
% 24.23/15.99 tff(6170,plain,
% 24.23/15.99 (v129(constB30, bitIndex0)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6169, 6161])).
% 24.23/15.99 tff(6171,plain,
% 24.23/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex0) | (~v129(constB30, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex0) | (~v129(constB30, bitIndex0)))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6172,plain,
% 24.23/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex0) | (~v129(constB30, bitIndex0)))),
% 24.23/15.99 inference(quant_inst,[status(thm)],[])).
% 24.23/15.99 tff(6173,plain,
% 24.23/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex0) | (~v129(constB30, bitIndex0))),
% 24.23/15.99 inference(modus_ponens,[status(thm)],[6172, 6171])).
% 24.23/15.99 tff(6174,plain,
% 24.23/15.99 (v127(constB29, bitIndex0) | (~v129(constB30, bitIndex0))),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6173, 1359, 5244])).
% 24.23/15.99 tff(6175,plain,
% 24.23/15.99 (v127(constB29, bitIndex0)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6174, 6170])).
% 24.23/15.99 tff(6176,plain,
% 24.23/15.99 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB29)) | (~v127(constB29, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB29)) | (~v127(constB29, bitIndex0)))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6177,plain,
% 24.23/15.99 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB29)) | (~v127(constB29, bitIndex0)))),
% 24.23/15.99 inference(quant_inst,[status(thm)],[])).
% 24.23/15.99 tff(6178,plain,
% 24.23/15.99 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB29)) | (~v127(constB29, bitIndex0))),
% 24.23/15.99 inference(modus_ponens,[status(thm)],[6177, 6176])).
% 24.23/15.99 tff(6179,plain,
% 24.23/15.99 (~v26(constB29)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6178, 2189, 6175])).
% 24.23/15.99 tff(6180,plain,
% 24.23/15.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB29, bitIndex0)) | v26(constB29) | v130(constB29, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB29, bitIndex0)) | v26(constB29) | v130(constB29, bitIndex0))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6181,plain,
% 24.23/15.99 ((v26(constB29) | v130(constB29, bitIndex0) | (~v127(constB29, bitIndex0))) <=> ((~v127(constB29, bitIndex0)) | v26(constB29) | v130(constB29, bitIndex0))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6182,plain,
% 24.23/15.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB29) | v130(constB29, bitIndex0) | (~v127(constB29, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB29, bitIndex0)) | v26(constB29) | v130(constB29, bitIndex0)))),
% 24.23/15.99 inference(monotonicity,[status(thm)],[6181])).
% 24.23/15.99 tff(6183,plain,
% 24.23/15.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB29) | v130(constB29, bitIndex0) | (~v127(constB29, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB29, bitIndex0)) | v26(constB29) | v130(constB29, bitIndex0))),
% 24.23/15.99 inference(transitivity,[status(thm)],[6182, 6180])).
% 24.23/15.99 tff(6184,plain,
% 24.23/15.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB29) | v130(constB29, bitIndex0) | (~v127(constB29, bitIndex0)))),
% 24.23/15.99 inference(quant_inst,[status(thm)],[])).
% 24.23/15.99 tff(6185,plain,
% 24.23/15.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB29, bitIndex0)) | v26(constB29) | v130(constB29, bitIndex0)),
% 24.23/15.99 inference(modus_ponens,[status(thm)],[6184, 6183])).
% 24.23/15.99 tff(6186,plain,
% 24.23/15.99 (v130(constB29, bitIndex0)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6185, 1341, 6175, 6179])).
% 24.23/15.99 tff(6187,plain,
% 24.23/15.99 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB29)) | (~v130(constB29, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB29)) | (~v130(constB29, bitIndex0)))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6188,plain,
% 24.23/15.99 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB29)) | (~v130(constB29, bitIndex0)))),
% 24.23/15.99 inference(quant_inst,[status(thm)],[])).
% 24.23/15.99 tff(6189,plain,
% 24.23/15.99 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB29)) | (~v130(constB29, bitIndex0))),
% 24.23/15.99 inference(modus_ponens,[status(thm)],[6188, 6187])).
% 24.23/15.99 tff(6190,plain,
% 24.23/15.99 (~v119(constB29)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6189, 1327, 6186])).
% 24.23/15.99 tff(6191,plain,
% 24.23/15.99 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB29)) | (~v130(constB29, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB29)) | (~v130(constB29, bitIndex0)))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6192,plain,
% 24.23/15.99 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB29)) | (~v130(constB29, bitIndex0)))),
% 24.23/15.99 inference(quant_inst,[status(thm)],[])).
% 24.23/15.99 tff(6193,plain,
% 24.23/15.99 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB29)) | (~v130(constB29, bitIndex0))),
% 24.23/15.99 inference(modus_ponens,[status(thm)],[6192, 6191])).
% 24.23/15.99 tff(6194,plain,
% 24.23/15.99 (~v120(constB29)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6193, 2023, 6186])).
% 24.23/15.99 tff(6195,plain,
% 24.23/15.99 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v121(constB29)) | v90(constB29, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v121(constB29)) | v90(constB29, bitIndex1))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6196,plain,
% 24.23/15.99 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v121(constB29)) | v90(constB29, bitIndex1))),
% 24.23/15.99 inference(quant_inst,[status(thm)],[])).
% 24.23/15.99 tff(6197,plain,
% 24.23/15.99 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v121(constB29)) | v90(constB29, bitIndex1)),
% 24.23/15.99 inference(modus_ponens,[status(thm)],[6196, 6195])).
% 24.23/15.99 tff(6198,plain,
% 24.23/15.99 (~v121(constB29)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6197, 4496, 6148])).
% 24.23/15.99 tff(6199,plain,
% 24.23/15.99 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v90(VarCurr, bitIndex1)) <=> ((~v122(VarCurr)) | v90(VarCurr, bitIndex1)))),
% 24.23/15.99 inference(bind,[status(th)],[])).
% 24.23/15.99 tff(6200,plain,
% 24.23/15.99 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1))),
% 24.23/15.99 inference(quant_intro,[status(thm)],[6199])).
% 24.23/15.99 tff(6201,plain,
% 24.23/15.99 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6202,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_2')).
% 24.23/15.99 tff(6203,plain,
% 24.23/15.99 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1))),
% 24.23/15.99 inference(modus_ponens,[status(thm)],[6202, 6201])).
% 24.23/15.99 tff(6204,plain,(
% 24.23/15.99 ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1))),
% 24.23/15.99 inference(skolemize,[status(sab)],[6203])).
% 24.23/15.99 tff(6205,plain,
% 24.23/15.99 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1))),
% 24.23/15.99 inference(modus_ponens,[status(thm)],[6204, 6200])).
% 24.23/15.99 tff(6206,plain,
% 24.23/15.99 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v122(constB29)) | v90(constB29, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v122(constB29)) | v90(constB29, bitIndex1))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6207,plain,
% 24.23/15.99 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v122(constB29)) | v90(constB29, bitIndex1))),
% 24.23/15.99 inference(quant_inst,[status(thm)],[])).
% 24.23/15.99 tff(6208,plain,
% 24.23/15.99 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v122(constB29)) | v90(constB29, bitIndex1)),
% 24.23/15.99 inference(modus_ponens,[status(thm)],[6207, 6206])).
% 24.23/15.99 tff(6209,plain,
% 24.23/15.99 (~v122(constB29)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6208, 6205, 6148])).
% 24.23/15.99 tff(6210,plain,
% 24.23/15.99 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB29)) | (~v130(constB29, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB29)) | (~v130(constB29, bitIndex0)))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6211,plain,
% 24.23/15.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB29)) | (~v130(constB29, bitIndex0)))),
% 24.23/15.99 inference(quant_inst,[status(thm)],[])).
% 24.23/15.99 tff(6212,plain,
% 24.23/15.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB29)) | (~v130(constB29, bitIndex0))),
% 24.23/15.99 inference(modus_ponens,[status(thm)],[6211, 6210])).
% 24.23/15.99 tff(6213,plain,
% 24.23/15.99 (~v123(constB29)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6212, 1617, 6186])).
% 24.23/15.99 tff(6214,assumption,(v90(constB30, bitIndex2)), introduced(assumption)).
% 24.23/15.99 tff(6215,plain,
% 24.23/15.99 (v129(constB30, bitIndex2) | (~v100(constB30))),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[5295, 1845, 6214])).
% 24.23/15.99 tff(6216,plain,
% 24.23/15.99 (v129(constB30, bitIndex2)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6215, 6161])).
% 24.23/15.99 tff(6217,plain,
% 24.23/15.99 (v127(constB29, bitIndex2)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[5291, 6216])).
% 24.23/15.99 tff(6218,plain,
% 24.23/15.99 (v130(constB29, bitIndex2)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[5285, 1812, 6217, 6179])).
% 24.23/15.99 tff(6219,plain,
% 24.23/15.99 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | (~v130(constB29, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | (~v130(constB29, bitIndex2)))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6220,plain,
% 24.23/15.99 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | (~v130(constB29, bitIndex2)))),
% 24.23/15.99 inference(quant_inst,[status(thm)],[])).
% 24.23/15.99 tff(6221,plain,
% 24.23/15.99 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | (~v130(constB29, bitIndex2))),
% 24.23/15.99 inference(modus_ponens,[status(thm)],[6220, 6219])).
% 24.23/15.99 tff(6222,plain,
% 24.23/15.99 (v124(constB29)),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6221, 1798, 6218, 6213, 6209, 6198, 6194, 6190])).
% 24.23/15.99 tff(6223,plain,
% 24.23/15.99 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB29)) | (~v130(constB29, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB29)) | (~v130(constB29, bitIndex2)))),
% 24.23/15.99 inference(rewrite,[status(thm)],[])).
% 24.23/15.99 tff(6224,plain,
% 24.23/15.99 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB29)) | (~v130(constB29, bitIndex2)))),
% 24.23/15.99 inference(quant_inst,[status(thm)],[])).
% 24.23/15.99 tff(6225,plain,
% 24.23/15.99 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB29)) | (~v130(constB29, bitIndex2))),
% 24.23/15.99 inference(modus_ponens,[status(thm)],[6224, 6223])).
% 24.23/15.99 tff(6226,plain,
% 24.23/15.99 ($false),
% 24.23/15.99 inference(unit_resolution,[status(thm)],[6225, 4807, 6218, 6222])).
% 24.23/15.99 tff(6227,plain,(v90(constB29, bitIndex1) | (~v90(constB30, bitIndex2)) | (~v90(constB30, bitIndex0)) | (~v90(constB30, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 24.23/16.00 tff(6228,plain,
% 24.23/16.00 ($false),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6227, 6152, 6150, 6148, 6147])).
% 24.23/16.00 tff(6229,plain,(v100(constB34) | v90(constB29, bitIndex1) | (~v90(constB34, bitIndex0)) | (~v90(constB34, bitIndex2)) | (~v90(constB34, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 24.23/16.00 tff(6230,plain,
% 24.23/16.00 (v90(constB29, bitIndex1)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6229, 6099, 5822, 6091, 6083])).
% 24.23/16.00 tff(6231,plain,
% 24.23/16.00 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB29)) | (~v90(constB29, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB29)) | (~v90(constB29, bitIndex1)))),
% 24.23/16.00 inference(rewrite,[status(thm)],[])).
% 24.23/16.00 tff(6232,plain,
% 24.23/16.00 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB29)) | (~v90(constB29, bitIndex1)))),
% 24.23/16.00 inference(quant_inst,[status(thm)],[])).
% 24.23/16.00 tff(6233,plain,
% 24.23/16.00 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB29)) | (~v90(constB29, bitIndex1))),
% 24.23/16.00 inference(modus_ponens,[status(thm)],[6232, 6231])).
% 24.23/16.00 tff(6234,plain,
% 24.23/16.00 (~v124(constB29)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6233, 1784, 6230])).
% 24.23/16.00 tff(6235,plain,
% 24.23/16.00 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB29)) | (~v90(constB29, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB29)) | (~v90(constB29, bitIndex1)))),
% 24.23/16.00 inference(rewrite,[status(thm)],[])).
% 24.23/16.00 tff(6236,plain,
% 24.23/16.00 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB29)) | (~v90(constB29, bitIndex1)))),
% 24.23/16.00 inference(quant_inst,[status(thm)],[])).
% 24.23/16.00 tff(6237,plain,
% 24.23/16.00 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB29)) | (~v90(constB29, bitIndex1))),
% 24.23/16.00 inference(modus_ponens,[status(thm)],[6236, 6235])).
% 24.23/16.00 tff(6238,plain,
% 24.23/16.00 (~v119(constB29)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6237, 1751, 6230])).
% 24.23/16.00 tff(6239,plain,
% 24.23/16.00 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB29)) | (~v90(constB29, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB29)) | (~v90(constB29, bitIndex1)))),
% 24.23/16.00 inference(rewrite,[status(thm)],[])).
% 24.23/16.00 tff(6240,plain,
% 24.23/16.00 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB29)) | (~v90(constB29, bitIndex1)))),
% 24.23/16.00 inference(quant_inst,[status(thm)],[])).
% 24.23/16.00 tff(6241,plain,
% 24.23/16.00 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB29)) | (~v90(constB29, bitIndex1))),
% 24.23/16.00 inference(modus_ponens,[status(thm)],[6240, 6239])).
% 24.23/16.00 tff(6242,plain,
% 24.23/16.00 (~v123(constB29)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6241, 1773, 6230])).
% 24.23/16.00 tff(6243,plain,
% 24.23/16.00 (v90(constB31, bitIndex1)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6137, 6049, 5981])).
% 24.23/16.00 tff(6244,plain,
% 24.23/16.00 (v90(constB30, bitIndex1)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6146, 6243])).
% 24.23/16.00 tff(6245,plain,
% 24.23/16.00 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB29)) | (~v90(constB29, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB29)) | (~v90(constB29, bitIndex1)))),
% 24.23/16.00 inference(rewrite,[status(thm)],[])).
% 24.23/16.00 tff(6246,plain,
% 24.23/16.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB29)) | (~v90(constB29, bitIndex1)))),
% 24.23/16.00 inference(quant_inst,[status(thm)],[])).
% 24.23/16.00 tff(6247,plain,
% 24.23/16.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB29)) | (~v90(constB29, bitIndex1))),
% 24.23/16.00 inference(modus_ponens,[status(thm)],[6246, 6245])).
% 24.23/16.00 tff(6248,plain,
% 24.23/16.00 (~v120(constB29)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6247, 1762, 6230])).
% 24.23/16.00 tff(6249,assumption,(~v90(constB29, bitIndex0)), introduced(assumption)).
% 24.23/16.00 tff(6250,plain,
% 24.23/16.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0)))),
% 24.23/16.00 inference(rewrite,[status(thm)],[])).
% 24.23/16.00 tff(6251,plain,
% 24.23/16.00 (((~nextState(constB29, constB30)) | v90(constB29, bitIndex0) | v100(constB30) | (~v90(constB30, bitIndex0))) <=> (v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0)))),
% 24.23/16.00 inference(rewrite,[status(thm)],[])).
% 24.23/16.00 tff(6252,plain,
% 24.23/16.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex0) | v100(constB30) | (~v90(constB30, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0))))),
% 24.23/16.00 inference(monotonicity,[status(thm)],[6251])).
% 24.23/16.00 tff(6253,plain,
% 24.23/16.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex0) | v100(constB30) | (~v90(constB30, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0)))),
% 24.23/16.00 inference(transitivity,[status(thm)],[6252, 6250])).
% 24.23/16.00 tff(6254,plain,
% 24.23/16.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex0) | v100(constB30) | (~v90(constB30, bitIndex0)))),
% 24.23/16.00 inference(quant_inst,[status(thm)],[])).
% 24.23/16.00 tff(6255,plain,
% 24.23/16.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0))),
% 24.23/16.00 inference(modus_ponens,[status(thm)],[6254, 6253])).
% 24.23/16.00 tff(6256,plain,
% 24.23/16.00 (v90(constB29, bitIndex0) | v100(constB30) | (~v90(constB30, bitIndex0))),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6255, 934, 5244])).
% 24.23/16.00 tff(6257,plain,
% 24.23/16.00 (v100(constB30)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6256, 6249, 6162])).
% 24.23/16.00 tff(6258,plain,
% 24.23/16.00 (v129(constB30, bitIndex0)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6169, 6257])).
% 24.23/16.00 tff(6259,plain,
% 24.23/16.00 (v127(constB29, bitIndex0)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6174, 6258])).
% 24.23/16.00 tff(6260,plain,
% 24.23/16.00 (~v26(constB29)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6178, 2189, 6259])).
% 24.23/16.00 tff(6261,plain,
% 24.23/16.00 (v129(constB30, bitIndex2)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6215, 6257])).
% 24.23/16.00 tff(6262,plain,
% 24.23/16.00 (v127(constB29, bitIndex2)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[5291, 6261])).
% 24.23/16.00 tff(6263,plain,
% 24.23/16.00 (v130(constB29, bitIndex2)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[5285, 1812, 6262, 6260])).
% 24.23/16.00 tff(6264,plain,
% 24.23/16.00 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB30, bitIndex1)) | v129(constB30, bitIndex1) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | v129(constB30, bitIndex1) | (~v100(constB30)))),
% 24.23/16.00 inference(rewrite,[status(thm)],[])).
% 24.23/16.00 tff(6265,plain,
% 24.23/16.00 (((~v90(constB30, bitIndex1)) | (~v100(constB30)) | v129(constB30, bitIndex1)) <=> ((~v90(constB30, bitIndex1)) | v129(constB30, bitIndex1) | (~v100(constB30)))),
% 24.23/16.00 inference(rewrite,[status(thm)],[])).
% 24.23/16.00 tff(6266,plain,
% 24.23/16.00 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB30, bitIndex1)) | (~v100(constB30)) | v129(constB30, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB30, bitIndex1)) | v129(constB30, bitIndex1) | (~v100(constB30))))),
% 24.23/16.00 inference(monotonicity,[status(thm)],[6265])).
% 24.23/16.00 tff(6267,plain,
% 24.23/16.00 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB30, bitIndex1)) | (~v100(constB30)) | v129(constB30, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | v129(constB30, bitIndex1) | (~v100(constB30)))),
% 24.23/16.00 inference(transitivity,[status(thm)],[6266, 6264])).
% 24.23/16.00 tff(6268,plain,
% 24.23/16.00 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB30, bitIndex1)) | (~v100(constB30)) | v129(constB30, bitIndex1))),
% 24.23/16.00 inference(quant_inst,[status(thm)],[])).
% 24.23/16.00 tff(6269,plain,
% 24.23/16.00 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | v129(constB30, bitIndex1) | (~v100(constB30))),
% 24.23/16.00 inference(modus_ponens,[status(thm)],[6268, 6267])).
% 24.23/16.00 tff(6270,plain,
% 24.23/16.00 (v129(constB30, bitIndex1) | (~v100(constB30))),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6269, 1303, 6153])).
% 24.23/16.00 tff(6271,plain,
% 24.23/16.00 (v129(constB30, bitIndex1)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6270, 6257])).
% 24.23/16.00 tff(6272,plain,
% 24.23/16.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex1) | (~v129(constB30, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex1) | (~v129(constB30, bitIndex1)))),
% 24.23/16.00 inference(rewrite,[status(thm)],[])).
% 24.23/16.00 tff(6273,plain,
% 24.23/16.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex1) | (~v129(constB30, bitIndex1)))),
% 24.23/16.00 inference(quant_inst,[status(thm)],[])).
% 24.23/16.00 tff(6274,plain,
% 24.23/16.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex1) | (~v129(constB30, bitIndex1))),
% 24.23/16.00 inference(modus_ponens,[status(thm)],[6273, 6272])).
% 24.23/16.00 tff(6275,plain,
% 24.23/16.00 (v127(constB29, bitIndex1) | (~v129(constB30, bitIndex1))),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6274, 1288, 5244])).
% 24.23/16.00 tff(6276,plain,
% 24.23/16.00 (v127(constB29, bitIndex1)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6275, 6271])).
% 24.23/16.00 tff(6277,plain,
% 24.23/16.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB29, bitIndex1)) | v26(constB29) | v130(constB29, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB29, bitIndex1)) | v26(constB29) | v130(constB29, bitIndex1))),
% 24.23/16.00 inference(rewrite,[status(thm)],[])).
% 24.23/16.00 tff(6278,plain,
% 24.23/16.00 ((v26(constB29) | v130(constB29, bitIndex1) | (~v127(constB29, bitIndex1))) <=> ((~v127(constB29, bitIndex1)) | v26(constB29) | v130(constB29, bitIndex1))),
% 24.23/16.00 inference(rewrite,[status(thm)],[])).
% 24.23/16.00 tff(6279,plain,
% 24.23/16.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB29) | v130(constB29, bitIndex1) | (~v127(constB29, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB29, bitIndex1)) | v26(constB29) | v130(constB29, bitIndex1)))),
% 24.23/16.00 inference(monotonicity,[status(thm)],[6278])).
% 24.23/16.00 tff(6280,plain,
% 24.23/16.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB29) | v130(constB29, bitIndex1) | (~v127(constB29, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB29, bitIndex1)) | v26(constB29) | v130(constB29, bitIndex1))),
% 24.23/16.00 inference(transitivity,[status(thm)],[6279, 6277])).
% 24.23/16.00 tff(6281,plain,
% 24.23/16.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB29) | v130(constB29, bitIndex1) | (~v127(constB29, bitIndex1)))),
% 24.23/16.00 inference(quant_inst,[status(thm)],[])).
% 24.23/16.00 tff(6282,plain,
% 24.23/16.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB29, bitIndex1)) | v26(constB29) | v130(constB29, bitIndex1)),
% 24.23/16.00 inference(modus_ponens,[status(thm)],[6281, 6280])).
% 24.23/16.00 tff(6283,plain,
% 24.23/16.00 (v130(constB29, bitIndex1)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6282, 1270, 6276, 6260])).
% 24.23/16.00 tff(6284,plain,
% 24.23/16.00 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB29)) | v90(constB29, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB29)) | v90(constB29, bitIndex0))),
% 24.23/16.00 inference(rewrite,[status(thm)],[])).
% 24.23/16.00 tff(6285,plain,
% 24.23/16.00 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB29)) | v90(constB29, bitIndex0))),
% 24.23/16.00 inference(quant_inst,[status(thm)],[])).
% 24.23/16.00 tff(6286,plain,
% 24.23/16.00 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB29)) | v90(constB29, bitIndex0)),
% 24.23/16.00 inference(modus_ponens,[status(thm)],[6285, 6284])).
% 24.23/16.00 tff(6287,plain,
% 24.23/16.00 (~v122(constB29)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6286, 3163, 6249])).
% 24.23/16.00 tff(6288,assumption,(~v119(constB29)), introduced(assumption)).
% 24.23/16.00 tff(6289,assumption,(~v120(constB29)), introduced(assumption)).
% 24.23/16.00 tff(6290,assumption,(~v123(constB29)), introduced(assumption)).
% 24.23/16.00 tff(6291,assumption,(~v124(constB29)), introduced(assumption)).
% 24.23/16.00 tff(6292,plain,
% 24.23/16.00 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | (~v130(constB29, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | (~v130(constB29, bitIndex1)))),
% 24.23/16.00 inference(rewrite,[status(thm)],[])).
% 24.23/16.00 tff(6293,plain,
% 24.23/16.00 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | (~v130(constB29, bitIndex1)))),
% 24.23/16.00 inference(quant_inst,[status(thm)],[])).
% 24.23/16.00 tff(6294,plain,
% 24.23/16.00 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | (~v130(constB29, bitIndex1))),
% 24.23/16.00 inference(modus_ponens,[status(thm)],[6293, 6292])).
% 24.23/16.00 tff(6295,plain,
% 24.23/16.00 (v121(constB29) | v122(constB29) | (~v130(constB29, bitIndex1))),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6294, 1887, 6291, 6290, 6289, 6288])).
% 24.23/16.00 tff(6296,plain,
% 24.23/16.00 (v121(constB29)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6295, 6287, 6283])).
% 24.23/16.00 tff(6297,plain,
% 24.23/16.00 ($false),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[5278, 2406, 6296, 6263])).
% 24.23/16.00 tff(6298,plain,(v90(constB29, bitIndex0) | v124(constB29) | v123(constB29) | v120(constB29) | v119(constB29) | (~v90(constB30, bitIndex1)) | (~v90(constB30, bitIndex2)) | (~v90(constB30, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 24.23/16.00 tff(6299,plain,
% 24.23/16.00 (v90(constB29, bitIndex0)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6298, 6248, 6244, 6058, 6075, 6242, 6238, 6234])).
% 24.23/16.00 tff(6300,assumption,(v90(constB29, bitIndex0)), introduced(assumption)).
% 24.23/16.00 tff(6301,assumption,(~v90(constB29, bitIndex2)), introduced(assumption)).
% 24.23/16.00 tff(6302,assumption,(v90(constB29, bitIndex1)), introduced(assumption)).
% 24.23/16.00 tff(6303,plain,
% 24.23/16.00 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB29, bitIndex0)) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v122(constB29))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB29, bitIndex0)) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v122(constB29))),
% 24.23/16.00 inference(rewrite,[status(thm)],[])).
% 24.23/16.00 tff(6304,plain,
% 24.23/16.00 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB29, bitIndex0)) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v122(constB29))),
% 24.23/16.00 inference(quant_inst,[status(thm)],[])).
% 24.23/16.00 tff(6305,plain,
% 24.23/16.00 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB29, bitIndex0)) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v122(constB29)),
% 24.23/16.00 inference(modus_ponens,[status(thm)],[6304, 6303])).
% 24.23/16.00 tff(6306,plain,
% 24.23/16.00 ((~v90(constB29, bitIndex0)) | v90(constB29, bitIndex2) | v122(constB29)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6305, 2641, 6302])).
% 24.23/16.00 tff(6307,plain,
% 24.23/16.00 (v122(constB29)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6306, 6301, 6300])).
% 24.23/16.00 tff(6308,plain,
% 24.23/16.00 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB29)) | (~v130(constB29, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB29)) | (~v130(constB29, bitIndex0)))),
% 24.23/16.00 inference(rewrite,[status(thm)],[])).
% 24.23/16.00 tff(6309,plain,
% 24.23/16.00 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB29)) | (~v130(constB29, bitIndex0)))),
% 24.23/16.00 inference(quant_inst,[status(thm)],[])).
% 24.23/16.00 tff(6310,plain,
% 24.23/16.00 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB29)) | (~v130(constB29, bitIndex0))),
% 24.23/16.00 inference(modus_ponens,[status(thm)],[6309, 6308])).
% 24.23/16.00 tff(6311,plain,
% 24.23/16.00 (~v130(constB29, bitIndex0)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6310, 2833, 6307])).
% 24.23/16.00 tff(6312,plain,
% 24.23/16.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB29, bitIndex2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB29, bitIndex2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex2)))),
% 24.23/16.00 inference(rewrite,[status(thm)],[])).
% 24.23/16.00 tff(6313,plain,
% 24.23/16.00 (((~nextState(constB29, constB30)) | v90(constB29, bitIndex2) | v100(constB30) | (~v90(constB30, bitIndex2))) <=> (v90(constB29, bitIndex2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex2)))),
% 24.23/16.00 inference(rewrite,[status(thm)],[])).
% 24.23/16.00 tff(6314,plain,
% 24.23/16.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex2) | v100(constB30) | (~v90(constB30, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB29, bitIndex2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex2))))),
% 24.23/16.00 inference(monotonicity,[status(thm)],[6313])).
% 24.23/16.00 tff(6315,plain,
% 24.23/16.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex2) | v100(constB30) | (~v90(constB30, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB29, bitIndex2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex2)))),
% 24.23/16.00 inference(transitivity,[status(thm)],[6314, 6312])).
% 24.23/16.00 tff(6316,plain,
% 24.23/16.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex2) | v100(constB30) | (~v90(constB30, bitIndex2)))),
% 24.23/16.00 inference(quant_inst,[status(thm)],[])).
% 24.23/16.00 tff(6317,plain,
% 24.23/16.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB29, bitIndex2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex2))),
% 24.23/16.00 inference(modus_ponens,[status(thm)],[6316, 6315])).
% 24.23/16.00 tff(6318,plain,
% 24.23/16.00 (v90(constB29, bitIndex2) | v100(constB30) | (~v90(constB30, bitIndex2))),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6317, 892, 5244])).
% 24.23/16.00 tff(6319,plain,
% 24.23/16.00 (v100(constB30)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6318, 6301, 6214])).
% 24.23/16.00 tff(6320,plain,
% 24.23/16.00 (v129(constB30, bitIndex0)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6169, 6319])).
% 24.23/16.00 tff(6321,plain,
% 24.23/16.00 (v127(constB29, bitIndex0)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6174, 6320])).
% 24.23/16.00 tff(6322,plain,
% 24.23/16.00 (~v26(constB29)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6178, 2189, 6321])).
% 24.23/16.00 tff(6323,plain,
% 24.23/16.00 ($false),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6185, 1341, 6321, 6322, 6311])).
% 24.23/16.00 tff(6324,plain,(v90(constB29, bitIndex2) | (~v90(constB30, bitIndex0)) | (~v90(constB29, bitIndex0)) | (~v90(constB29, bitIndex1)) | (~v90(constB30, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 24.23/16.00 tff(6325,plain,
% 24.23/16.00 (v90(constB29, bitIndex2)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6324, 6299, 6230, 6075, 6058])).
% 24.23/16.00 tff(6326,plain,
% 24.23/16.00 (v90(constB28, bitIndex2)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[5150, 6325])).
% 24.23/16.00 tff(6327,plain,
% 24.23/16.00 (v129(constB28, bitIndex2)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[5123, 6326])).
% 24.23/16.00 tff(6328,plain,
% 24.23/16.00 (v127(constB27, bitIndex2)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[4393, 6327])).
% 24.23/16.00 tff(6329,plain,
% 24.23/16.00 (v130(constB27, bitIndex2)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[4385, 6328])).
% 24.23/16.00 tff(6330,plain,
% 24.23/16.00 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB27)) | (~v130(constB27, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB27)) | (~v130(constB27, bitIndex2)))),
% 24.23/16.00 inference(rewrite,[status(thm)],[])).
% 24.23/16.00 tff(6331,plain,
% 24.23/16.00 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB27)) | (~v130(constB27, bitIndex2)))),
% 24.23/16.00 inference(quant_inst,[status(thm)],[])).
% 24.23/16.00 tff(6332,plain,
% 24.23/16.00 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB27)) | (~v130(constB27, bitIndex2))),
% 24.23/16.00 inference(modus_ponens,[status(thm)],[6331, 6330])).
% 24.23/16.00 tff(6333,plain,
% 24.23/16.00 (~v124(constB27)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6332, 4807, 6329])).
% 24.23/16.00 tff(6334,plain,
% 24.23/16.00 (v90(constB28, bitIndex0)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[5191, 6299])).
% 24.23/16.00 tff(6335,plain,
% 24.23/16.00 (v129(constB28, bitIndex0)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[5182, 6334])).
% 24.23/16.00 tff(6336,plain,
% 24.23/16.00 (v127(constB27, bitIndex0)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[5174, 6335])).
% 24.23/16.00 tff(6337,plain,
% 24.23/16.00 (v130(constB27, bitIndex0)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[4567, 6336])).
% 24.23/16.00 tff(6338,plain,
% 24.23/16.00 (~v123(constB27)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[4690, 1617, 6337])).
% 24.23/16.00 tff(6339,plain,
% 24.23/16.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex1)))),
% 24.23/16.00 inference(rewrite,[status(thm)],[])).
% 24.23/16.00 tff(6340,plain,
% 24.23/16.00 (((~nextState(constB28, constB29)) | v90(constB28, bitIndex1) | v100(constB29) | (~v90(constB29, bitIndex1))) <=> (v90(constB28, bitIndex1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex1)))),
% 24.23/16.00 inference(rewrite,[status(thm)],[])).
% 24.23/16.00 tff(6341,plain,
% 24.23/16.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex1) | v100(constB29) | (~v90(constB29, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex1))))),
% 24.23/16.00 inference(monotonicity,[status(thm)],[6340])).
% 24.23/16.00 tff(6342,plain,
% 24.23/16.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex1) | v100(constB29) | (~v90(constB29, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex1)))),
% 24.23/16.00 inference(transitivity,[status(thm)],[6341, 6339])).
% 24.23/16.00 tff(6343,plain,
% 24.23/16.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex1) | v100(constB29) | (~v90(constB29, bitIndex1)))),
% 24.23/16.00 inference(quant_inst,[status(thm)],[])).
% 24.23/16.00 tff(6344,plain,
% 24.23/16.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex1))),
% 24.23/16.00 inference(modus_ponens,[status(thm)],[6343, 6342])).
% 24.23/16.00 tff(6345,plain,
% 24.23/16.00 (v90(constB28, bitIndex1) | v100(constB29) | (~v90(constB29, bitIndex1))),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6344, 913, 5130])).
% 24.23/16.00 tff(6346,plain,
% 24.23/16.00 (v90(constB28, bitIndex1) | (~v90(constB29, bitIndex1))),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6345, 5142])).
% 24.23/16.00 tff(6347,plain,
% 24.23/16.00 (v90(constB28, bitIndex1)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6346, 6230])).
% 24.23/16.00 tff(6348,plain,
% 24.23/16.00 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB28, bitIndex1)) | v129(constB28, bitIndex1) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | v129(constB28, bitIndex1) | (~v100(constB28)))),
% 24.23/16.00 inference(rewrite,[status(thm)],[])).
% 24.23/16.00 tff(6349,plain,
% 24.23/16.00 (((~v90(constB28, bitIndex1)) | (~v100(constB28)) | v129(constB28, bitIndex1)) <=> ((~v90(constB28, bitIndex1)) | v129(constB28, bitIndex1) | (~v100(constB28)))),
% 24.23/16.00 inference(rewrite,[status(thm)],[])).
% 24.23/16.00 tff(6350,plain,
% 24.23/16.00 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB28, bitIndex1)) | (~v100(constB28)) | v129(constB28, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB28, bitIndex1)) | v129(constB28, bitIndex1) | (~v100(constB28))))),
% 24.23/16.00 inference(monotonicity,[status(thm)],[6349])).
% 24.23/16.00 tff(6351,plain,
% 24.23/16.00 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB28, bitIndex1)) | (~v100(constB28)) | v129(constB28, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | v129(constB28, bitIndex1) | (~v100(constB28)))),
% 24.23/16.00 inference(transitivity,[status(thm)],[6350, 6348])).
% 24.23/16.00 tff(6352,plain,
% 24.23/16.00 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB28, bitIndex1)) | (~v100(constB28)) | v129(constB28, bitIndex1))),
% 24.23/16.00 inference(quant_inst,[status(thm)],[])).
% 24.23/16.00 tff(6353,plain,
% 24.23/16.00 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | v129(constB28, bitIndex1) | (~v100(constB28))),
% 24.23/16.00 inference(modus_ponens,[status(thm)],[6352, 6351])).
% 24.23/16.00 tff(6354,plain,
% 24.23/16.00 ((~v90(constB28, bitIndex1)) | v129(constB28, bitIndex1)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6353, 1303, 5119])).
% 24.23/16.00 tff(6355,plain,
% 24.23/16.00 (v129(constB28, bitIndex1)),
% 24.23/16.00 inference(unit_resolution,[status(thm)],[6354, 6347])).
% 24.23/16.00 tff(6356,plain,
% 24.23/16.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex1) | (~v129(constB28, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex1) | (~v129(constB28, bitIndex1)))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6357,plain,
% 24.23/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex1) | (~v129(constB28, bitIndex1)))),
% 24.23/16.01 inference(quant_inst,[status(thm)],[])).
% 24.23/16.01 tff(6358,plain,
% 24.23/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex1) | (~v129(constB28, bitIndex1))),
% 24.23/16.01 inference(modus_ponens,[status(thm)],[6357, 6356])).
% 24.23/16.01 tff(6359,plain,
% 24.23/16.01 (v127(constB27, bitIndex1) | (~v129(constB28, bitIndex1))),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6358, 1288, 4389])).
% 24.23/16.01 tff(6360,plain,
% 24.23/16.01 (v127(constB27, bitIndex1)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6359, 6355])).
% 24.23/16.01 tff(6361,assumption,(v127(constB27, bitIndex1)), introduced(assumption)).
% 24.23/16.01 tff(6362,assumption,(~v130(constB27, bitIndex1)), introduced(assumption)).
% 24.23/16.01 tff(6363,plain,
% 24.23/16.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB27, bitIndex1)) | v26(constB27) | v130(constB27, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB27, bitIndex1)) | v26(constB27) | v130(constB27, bitIndex1))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6364,plain,
% 24.23/16.01 ((v26(constB27) | v130(constB27, bitIndex1) | (~v127(constB27, bitIndex1))) <=> ((~v127(constB27, bitIndex1)) | v26(constB27) | v130(constB27, bitIndex1))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6365,plain,
% 24.23/16.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB27) | v130(constB27, bitIndex1) | (~v127(constB27, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB27, bitIndex1)) | v26(constB27) | v130(constB27, bitIndex1)))),
% 24.23/16.01 inference(monotonicity,[status(thm)],[6364])).
% 24.23/16.01 tff(6366,plain,
% 24.23/16.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB27) | v130(constB27, bitIndex1) | (~v127(constB27, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB27, bitIndex1)) | v26(constB27) | v130(constB27, bitIndex1))),
% 24.23/16.01 inference(transitivity,[status(thm)],[6365, 6363])).
% 24.23/16.01 tff(6367,plain,
% 24.23/16.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB27) | v130(constB27, bitIndex1) | (~v127(constB27, bitIndex1)))),
% 24.23/16.01 inference(quant_inst,[status(thm)],[])).
% 24.23/16.01 tff(6368,plain,
% 24.23/16.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB27, bitIndex1)) | v26(constB27) | v130(constB27, bitIndex1)),
% 24.23/16.01 inference(modus_ponens,[status(thm)],[6367, 6366])).
% 24.23/16.01 tff(6369,plain,
% 24.23/16.01 ((~v127(constB27, bitIndex1)) | v26(constB27)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6368, 1270, 6362])).
% 24.23/16.01 tff(6370,plain,
% 24.23/16.01 (v26(constB27)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6369, 6361])).
% 24.23/16.01 tff(6371,plain,
% 24.23/16.01 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))))),
% 24.23/16.01 inference(bind,[status(th)],[])).
% 24.23/16.01 tff(6372,plain,
% 24.23/16.01 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 24.23/16.01 inference(quant_intro,[status(thm)],[6371])).
% 24.23/16.01 tff(6373,plain,
% 24.23/16.01 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6374,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_2')).
% 24.23/16.01 tff(6375,plain,
% 24.23/16.01 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 24.23/16.01 inference(modus_ponens,[status(thm)],[6374, 6373])).
% 24.23/16.01 tff(6376,plain,(
% 24.23/16.01 ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 24.23/16.01 inference(skolemize,[status(sab)],[6375])).
% 24.23/16.01 tff(6377,plain,
% 24.23/16.01 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 24.23/16.01 inference(modus_ponens,[status(thm)],[6376, 6372])).
% 24.23/16.01 tff(6378,plain,
% 24.23/16.01 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB27)) | (~v127(constB27, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB27)) | (~v127(constB27, bitIndex1)))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6379,plain,
% 24.23/16.01 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB27)) | (~v127(constB27, bitIndex1)))),
% 24.23/16.01 inference(quant_inst,[status(thm)],[])).
% 24.23/16.01 tff(6380,plain,
% 24.23/16.01 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB27)) | (~v127(constB27, bitIndex1))),
% 24.23/16.01 inference(modus_ponens,[status(thm)],[6379, 6378])).
% 24.23/16.01 tff(6381,plain,
% 24.23/16.01 ($false),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6380, 6377, 6361, 6370])).
% 24.23/16.01 tff(6382,plain,((~v127(constB27, bitIndex1)) | v130(constB27, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 24.23/16.01 tff(6383,plain,
% 24.23/16.01 (v130(constB27, bitIndex1)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6382, 6360])).
% 24.23/16.01 tff(6384,plain,
% 24.23/16.01 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB27)) | (~v130(constB27, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB27)) | (~v130(constB27, bitIndex1)))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6385,plain,
% 24.23/16.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB27)) | (~v130(constB27, bitIndex1)))),
% 24.23/16.01 inference(quant_inst,[status(thm)],[])).
% 24.23/16.01 tff(6386,plain,
% 24.23/16.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB27)) | (~v130(constB27, bitIndex1))),
% 24.23/16.01 inference(modus_ponens,[status(thm)],[6385, 6384])).
% 24.23/16.01 tff(6387,plain,
% 24.23/16.01 (~v122(constB27)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6386, 2792, 6383])).
% 24.23/16.01 tff(6388,plain,
% 24.23/16.01 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB27)) | (~v130(constB27, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB27)) | (~v130(constB27, bitIndex1)))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6389,plain,
% 24.23/16.01 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB27)) | (~v130(constB27, bitIndex1)))),
% 24.23/16.01 inference(quant_inst,[status(thm)],[])).
% 24.23/16.01 tff(6390,plain,
% 24.23/16.01 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB27)) | (~v130(constB27, bitIndex1))),
% 24.23/16.01 inference(modus_ponens,[status(thm)],[6389, 6388])).
% 24.23/16.01 tff(6391,plain,
% 24.23/16.01 (~v119(constB27)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6390, 1256, 6383])).
% 24.23/16.01 tff(6392,plain,
% 24.23/16.01 (~v120(constB27)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[5168, 2023, 6337])).
% 24.23/16.01 tff(6393,plain,
% 24.23/16.01 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB27)) | (~v130(constB27, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB27)) | (~v130(constB27, bitIndex2)))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6394,plain,
% 24.23/16.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB27)) | (~v130(constB27, bitIndex2)))),
% 24.23/16.01 inference(quant_inst,[status(thm)],[])).
% 24.23/16.01 tff(6395,plain,
% 24.23/16.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB27)) | (~v130(constB27, bitIndex2))),
% 24.23/16.01 inference(modus_ponens,[status(thm)],[6394, 6393])).
% 24.23/16.01 tff(6396,plain,
% 24.23/16.01 (~v121(constB27)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6395, 2406, 6329])).
% 24.23/16.01 tff(6397,plain,
% 24.23/16.01 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, bitIndex1)))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6398,plain,
% 24.23/16.01 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, bitIndex1)))),
% 24.23/16.01 inference(quant_inst,[status(thm)],[])).
% 24.23/16.01 tff(6399,plain,
% 24.23/16.01 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, bitIndex1))),
% 24.23/16.01 inference(modus_ponens,[status(thm)],[6398, 6397])).
% 24.23/16.01 tff(6400,plain,
% 24.23/16.01 (v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6399, 1887, 6383])).
% 24.23/16.01 tff(6401,plain,
% 24.23/16.01 ($false),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6400, 6396, 6392, 6391, 6387, 6338, 6333])).
% 24.23/16.01 tff(6402,plain,(v100(constB34) | v123(constB33)), inference(lemma,lemma(discharge,[]))).
% 24.23/16.01 tff(6403,plain,
% 24.23/16.01 (v123(constB33)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6402, 5822])).
% 24.23/16.01 tff(6404,plain,
% 24.23/16.01 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB33)) | v115(constB33))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB33)) | v115(constB33))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6405,plain,
% 24.23/16.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB33)) | v115(constB33))),
% 24.23/16.01 inference(quant_inst,[status(thm)],[])).
% 24.23/16.01 tff(6406,plain,
% 24.23/16.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB33)) | v115(constB33)),
% 24.23/16.01 inference(modus_ponens,[status(thm)],[6405, 6404])).
% 24.23/16.01 tff(6407,plain,
% 24.23/16.01 ($false),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6406, 1412, 6403, 5879])).
% 24.23/16.01 tff(6408,plain,(v100(constB34)), inference(lemma,lemma(discharge,[]))).
% 24.23/16.01 tff(6409,plain,
% 24.23/16.01 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6410,plain,
% 24.23/16.01 ((v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2))) <=> (v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6411,plain,
% 24.23/16.01 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34))))),
% 24.23/16.01 inference(monotonicity,[status(thm)],[6410])).
% 24.23/16.01 tff(6412,plain,
% 24.23/16.01 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))),
% 24.23/16.01 inference(transitivity,[status(thm)],[6411, 6409])).
% 24.23/16.01 tff(6413,plain,
% 24.23/16.01 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2)))),
% 24.23/16.01 inference(quant_inst,[status(thm)],[])).
% 24.23/16.01 tff(6414,plain,
% 24.23/16.01 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34))),
% 24.23/16.01 inference(modus_ponens,[status(thm)],[6413, 6412])).
% 24.23/16.01 tff(6415,plain,
% 24.23/16.01 (v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2))),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6414, 1204, 6408])).
% 24.23/16.01 tff(6416,plain,
% 24.23/16.01 (v90(constB34, bitIndex2)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6415, 5821])).
% 24.23/16.01 tff(6417,plain,
% 24.23/16.01 ((~v1(constB35)) <=> (~v1(constB35))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6418,axiom,(~v1(constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_35_1_1')).
% 24.23/16.01 tff(6419,plain,
% 24.23/16.01 (~v1(constB35)),
% 24.23/16.01 inference(modus_ponens,[status(thm)],[6418, 6417])).
% 24.23/16.01 tff(6420,plain,
% 24.23/16.01 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6421,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_34_1')).
% 24.23/16.01 tff(6422,plain,
% 24.23/16.01 (nextState(constB34, constB35)),
% 24.23/16.01 inference(modus_ponens,[status(thm)],[6421, 6420])).
% 24.23/16.01 tff(6423,plain,
% 24.23/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6424,plain,
% 24.23/16.01 (((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35)) <=> (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6425,plain,
% 24.23/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35))))),
% 24.23/16.01 inference(monotonicity,[status(thm)],[6424])).
% 24.23/16.01 tff(6426,plain,
% 24.23/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 24.23/16.01 inference(transitivity,[status(thm)],[6425, 6423])).
% 24.23/16.01 tff(6427,plain,
% 24.23/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))),
% 24.23/16.01 inference(quant_inst,[status(thm)],[])).
% 24.23/16.01 tff(6428,plain,
% 24.23/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35))),
% 24.23/16.01 inference(modus_ponens,[status(thm)],[6427, 6426])).
% 24.23/16.01 tff(6429,plain,
% 24.23/16.01 (~v101(constB35)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6428, 860, 6422, 6419])).
% 24.23/16.01 tff(6430,plain,
% 24.23/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6431,plain,
% 24.23/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))),
% 24.23/16.01 inference(quant_inst,[status(thm)],[])).
% 24.23/16.01 tff(6432,plain,
% 24.23/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35))),
% 24.23/16.01 inference(modus_ponens,[status(thm)],[6431, 6430])).
% 24.23/16.01 tff(6433,plain,
% 24.23/16.01 (v101(constB35) | (~v100(constB35))),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6432, 877, 6422])).
% 24.23/16.01 tff(6434,plain,
% 24.23/16.01 (~v100(constB35)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6433, 6429])).
% 24.23/16.01 tff(6435,plain,
% 24.23/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6436,plain,
% 24.23/16.01 (((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2)) <=> ((~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6437,plain,
% 24.23/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2)))),
% 24.23/16.01 inference(monotonicity,[status(thm)],[6436])).
% 24.23/16.01 tff(6438,plain,
% 24.23/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))),
% 24.23/16.01 inference(transitivity,[status(thm)],[6437, 6435])).
% 24.23/16.01 tff(6439,plain,
% 24.23/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2))),
% 24.23/16.01 inference(quant_inst,[status(thm)],[])).
% 24.23/16.01 tff(6440,plain,
% 24.23/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2)),
% 24.23/16.01 inference(modus_ponens,[status(thm)],[6439, 6438])).
% 24.23/16.01 tff(6441,plain,
% 24.23/16.01 ((~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6440, 1240, 6422])).
% 24.23/16.01 tff(6442,plain,
% 24.23/16.01 ((~v90(constB34, bitIndex2)) | v90(constB35, bitIndex2)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6441, 6434])).
% 24.23/16.01 tff(6443,plain,
% 24.23/16.01 (v90(constB35, bitIndex2)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6442, 6416])).
% 24.23/16.01 tff(6444,plain,
% 24.23/16.01 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB35)) | (~v90(constB35, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB35)) | (~v90(constB35, bitIndex2)))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6445,plain,
% 24.23/16.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB35)) | (~v90(constB35, bitIndex2)))),
% 24.23/16.01 inference(quant_inst,[status(thm)],[])).
% 24.23/16.01 tff(6446,plain,
% 24.23/16.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB35)) | (~v90(constB35, bitIndex2))),
% 24.23/16.01 inference(modus_ponens,[status(thm)],[6445, 6444])).
% 24.23/16.01 tff(6447,plain,
% 24.23/16.01 (~v121(constB35)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6446, 1729, 6443])).
% 24.23/16.01 tff(6448,plain,
% 24.23/16.01 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB33)) | v130(constB33, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB33)) | v130(constB33, bitIndex1))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6449,plain,
% 24.23/16.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB33)) | v130(constB33, bitIndex1))),
% 24.23/16.01 inference(quant_inst,[status(thm)],[])).
% 24.23/16.01 tff(6450,plain,
% 24.23/16.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB33)) | v130(constB33, bitIndex1)),
% 24.23/16.01 inference(modus_ponens,[status(thm)],[6449, 6448])).
% 24.23/16.01 tff(6451,plain,
% 24.23/16.01 (v130(constB33, bitIndex1)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6450, 1539, 5800])).
% 24.23/16.01 tff(6452,plain,
% 24.23/16.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB33) | (~v130(constB33, bitIndex1)) | v127(constB33, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB33) | (~v130(constB33, bitIndex1)) | v127(constB33, bitIndex1))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6453,plain,
% 24.23/16.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB33) | (~v130(constB33, bitIndex1)) | v127(constB33, bitIndex1))),
% 24.23/16.01 inference(quant_inst,[status(thm)],[])).
% 24.23/16.01 tff(6454,plain,
% 24.23/16.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB33) | (~v130(constB33, bitIndex1)) | v127(constB33, bitIndex1)),
% 24.23/16.01 inference(modus_ponens,[status(thm)],[6453, 6452])).
% 24.23/16.01 tff(6455,plain,
% 24.23/16.01 ((~v130(constB33, bitIndex1)) | v127(constB33, bitIndex1)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6454, 1553, 5808])).
% 24.23/16.01 tff(6456,plain,
% 24.23/16.01 (v127(constB33, bitIndex1)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6455, 6451])).
% 24.23/16.01 tff(6457,plain,
% 24.23/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex1)) | v129(constB34, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex1)) | v129(constB34, bitIndex1))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6458,plain,
% 24.23/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex1)) | v129(constB34, bitIndex1))),
% 24.23/16.01 inference(quant_inst,[status(thm)],[])).
% 24.23/16.01 tff(6459,plain,
% 24.23/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex1)) | v129(constB34, bitIndex1)),
% 24.23/16.01 inference(modus_ponens,[status(thm)],[6458, 6457])).
% 24.23/16.01 tff(6460,plain,
% 24.23/16.01 ((~v127(constB33, bitIndex1)) | v129(constB34, bitIndex1)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6459, 1568, 5816])).
% 24.23/16.01 tff(6461,plain,
% 24.23/16.01 (v129(constB34, bitIndex1)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6460, 6456])).
% 24.23/16.01 tff(6462,plain,
% 24.23/16.01 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~v129(constB34, bitIndex1)) | (~v100(constB34)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB34, bitIndex1) | (~v129(constB34, bitIndex1)) | (~v100(constB34)))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6463,plain,
% 24.23/16.01 ((v90(constB34, bitIndex1) | (~v100(constB34)) | (~v129(constB34, bitIndex1))) <=> (v90(constB34, bitIndex1) | (~v129(constB34, bitIndex1)) | (~v100(constB34)))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6464,plain,
% 24.23/16.01 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~v100(constB34)) | (~v129(constB34, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~v129(constB34, bitIndex1)) | (~v100(constB34))))),
% 24.23/16.01 inference(monotonicity,[status(thm)],[6463])).
% 24.23/16.01 tff(6465,plain,
% 24.23/16.01 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~v100(constB34)) | (~v129(constB34, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB34, bitIndex1) | (~v129(constB34, bitIndex1)) | (~v100(constB34)))),
% 24.23/16.01 inference(transitivity,[status(thm)],[6464, 6462])).
% 24.23/16.01 tff(6466,plain,
% 24.23/16.01 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~v100(constB34)) | (~v129(constB34, bitIndex1)))),
% 24.23/16.01 inference(quant_inst,[status(thm)],[])).
% 24.23/16.01 tff(6467,plain,
% 24.23/16.01 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB34, bitIndex1) | (~v129(constB34, bitIndex1)) | (~v100(constB34))),
% 24.23/16.01 inference(modus_ponens,[status(thm)],[6466, 6465])).
% 24.23/16.01 tff(6468,plain,
% 24.23/16.01 (v90(constB34, bitIndex1) | (~v129(constB34, bitIndex1))),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6467, 1583, 6408])).
% 24.23/16.01 tff(6469,plain,
% 24.23/16.01 (v90(constB34, bitIndex1)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6468, 6461])).
% 24.23/16.01 tff(6470,plain,
% 24.23/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex1))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6471,plain,
% 24.23/16.01 (((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex1)) | v100(constB35) | v90(constB35, bitIndex1)) <=> ((~v90(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex1))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6472,plain,
% 24.23/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex1)) | v100(constB35) | v90(constB35, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex1)))),
% 24.23/16.01 inference(monotonicity,[status(thm)],[6471])).
% 24.23/16.01 tff(6473,plain,
% 24.23/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex1)) | v100(constB35) | v90(constB35, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex1))),
% 24.23/16.01 inference(transitivity,[status(thm)],[6472, 6470])).
% 24.23/16.01 tff(6474,plain,
% 24.23/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex1)) | v100(constB35) | v90(constB35, bitIndex1))),
% 24.23/16.01 inference(quant_inst,[status(thm)],[])).
% 24.23/16.01 tff(6475,plain,
% 24.23/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex1)),
% 24.23/16.01 inference(modus_ponens,[status(thm)],[6474, 6473])).
% 24.23/16.01 tff(6476,plain,
% 24.23/16.01 ((~v90(constB34, bitIndex1)) | v100(constB35) | v90(constB35, bitIndex1)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6475, 1601, 6422])).
% 24.23/16.01 tff(6477,plain,
% 24.23/16.01 ((~v90(constB34, bitIndex1)) | v90(constB35, bitIndex1)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6476, 6434])).
% 24.23/16.01 tff(6478,plain,
% 24.23/16.01 (v90(constB35, bitIndex1)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6477, 6469])).
% 24.23/16.01 tff(6479,plain,
% 24.23/16.01 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB35)) | (~v90(constB35, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB35)) | (~v90(constB35, bitIndex1)))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6480,plain,
% 24.23/16.01 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB35)) | (~v90(constB35, bitIndex1)))),
% 24.23/16.01 inference(quant_inst,[status(thm)],[])).
% 24.23/16.01 tff(6481,plain,
% 24.23/16.01 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB35)) | (~v90(constB35, bitIndex1))),
% 24.23/16.01 inference(modus_ponens,[status(thm)],[6480, 6479])).
% 24.23/16.01 tff(6482,plain,
% 24.23/16.01 (~v119(constB35)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6481, 1751, 6478])).
% 24.23/16.01 tff(6483,plain,
% 24.23/16.01 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB35)) | (~v90(constB35, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB35)) | (~v90(constB35, bitIndex2)))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6484,plain,
% 24.23/16.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB35)) | (~v90(constB35, bitIndex2)))),
% 24.23/16.01 inference(quant_inst,[status(thm)],[])).
% 24.23/16.01 tff(6485,plain,
% 24.23/16.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB35)) | (~v90(constB35, bitIndex2))),
% 24.23/16.01 inference(modus_ponens,[status(thm)],[6484, 6483])).
% 24.23/16.01 tff(6486,plain,
% 24.23/16.01 (~v122(constB35)),
% 24.23/16.01 inference(unit_resolution,[status(thm)],[6485, 1740, 6443])).
% 24.23/16.01 tff(6487,plain,
% 24.23/16.01 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB35)) | (~v90(constB35, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB35)) | (~v90(constB35, bitIndex1)))),
% 24.23/16.01 inference(rewrite,[status(thm)],[])).
% 24.23/16.01 tff(6488,plain,
% 24.23/16.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB35)) | (~v90(constB35, bitIndex1)))),
% 24.23/16.02 inference(quant_inst,[status(thm)],[])).
% 24.23/16.02 tff(6489,plain,
% 24.23/16.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB35)) | (~v90(constB35, bitIndex1))),
% 24.23/16.02 inference(modus_ponens,[status(thm)],[6488, 6487])).
% 24.23/16.02 tff(6490,plain,
% 24.23/16.02 (~v123(constB35)),
% 24.23/16.02 inference(unit_resolution,[status(thm)],[6489, 1773, 6478])).
% 24.23/16.02 tff(6491,plain,
% 24.23/16.02 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB35)) | (~v90(constB35, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB35)) | (~v90(constB35, bitIndex1)))),
% 24.23/16.02 inference(rewrite,[status(thm)],[])).
% 24.23/16.02 tff(6492,plain,
% 24.23/16.02 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB35)) | (~v90(constB35, bitIndex1)))),
% 24.23/16.02 inference(quant_inst,[status(thm)],[])).
% 24.23/16.02 tff(6493,plain,
% 24.23/16.02 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB35)) | (~v90(constB35, bitIndex1))),
% 24.23/16.02 inference(modus_ponens,[status(thm)],[6492, 6491])).
% 24.23/16.02 tff(6494,plain,
% 24.23/16.02 (~v124(constB35)),
% 24.23/16.02 inference(unit_resolution,[status(thm)],[6493, 1784, 6478])).
% 24.23/16.02 tff(6495,plain,
% 24.23/16.02 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB35)) | (~v90(constB35, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB35)) | (~v90(constB35, bitIndex1)))),
% 24.23/16.02 inference(rewrite,[status(thm)],[])).
% 24.23/16.02 tff(6496,plain,
% 24.23/16.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB35)) | (~v90(constB35, bitIndex1)))),
% 24.23/16.02 inference(quant_inst,[status(thm)],[])).
% 24.23/16.02 tff(6497,plain,
% 24.23/16.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB35)) | (~v90(constB35, bitIndex1))),
% 24.23/16.02 inference(modus_ponens,[status(thm)],[6496, 6495])).
% 24.23/16.02 tff(6498,plain,
% 24.23/16.02 (~v120(constB35)),
% 24.23/16.02 inference(unit_resolution,[status(thm)],[6497, 1762, 6478])).
% 24.23/16.02 tff(6499,plain,
% 24.23/16.02 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex2)))),
% 24.23/16.02 inference(rewrite,[status(thm)],[])).
% 24.23/16.02 tff(6500,plain,
% 24.23/16.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex2)))),
% 24.23/16.02 inference(quant_inst,[status(thm)],[])).
% 24.23/16.02 tff(6501,plain,
% 24.23/16.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex2))),
% 24.23/16.02 inference(modus_ponens,[status(thm)],[6500, 6499])).
% 24.23/16.02 tff(6502,plain,
% 24.23/16.02 (~v130(constB35, bitIndex2)),
% 24.23/16.02 inference(unit_resolution,[status(thm)],[6501, 1798, 6498, 6494, 6490, 6486, 6482, 6447])).
% 24.23/16.02 tff(6503,assumption,(v26(constB35)), introduced(assumption)).
% 24.23/16.02 tff(6504,plain,
% 24.23/16.02 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB35))),
% 24.23/16.02 inference(quant_inst,[status(thm)],[])).
% 24.23/16.02 tff(6505,plain,
% 24.23/16.02 ($false),
% 24.23/16.02 inference(unit_resolution,[status(thm)],[6504, 797, 6503])).
% 24.23/16.02 tff(6506,plain,(~v26(constB35)), inference(lemma,lemma(discharge,[]))).
% 24.23/16.02 tff(6507,plain,
% 24.23/16.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB35, bitIndex2)) | v26(constB35) | v130(constB35, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB35, bitIndex2)) | v26(constB35) | v130(constB35, bitIndex2))),
% 24.23/16.02 inference(rewrite,[status(thm)],[])).
% 24.23/16.02 tff(6508,plain,
% 24.23/16.02 ((v26(constB35) | v130(constB35, bitIndex2) | (~v127(constB35, bitIndex2))) <=> ((~v127(constB35, bitIndex2)) | v26(constB35) | v130(constB35, bitIndex2))),
% 24.23/16.02 inference(rewrite,[status(thm)],[])).
% 24.23/16.02 tff(6509,plain,
% 24.23/16.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB35) | v130(constB35, bitIndex2) | (~v127(constB35, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB35, bitIndex2)) | v26(constB35) | v130(constB35, bitIndex2)))),
% 24.23/16.02 inference(monotonicity,[status(thm)],[6508])).
% 24.23/16.02 tff(6510,plain,
% 24.23/16.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB35) | v130(constB35, bitIndex2) | (~v127(constB35, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB35, bitIndex2)) | v26(constB35) | v130(constB35, bitIndex2))),
% 24.23/16.02 inference(transitivity,[status(thm)],[6509, 6507])).
% 24.23/16.02 tff(6511,plain,
% 24.23/16.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB35) | v130(constB35, bitIndex2) | (~v127(constB35, bitIndex2)))),
% 24.23/16.02 inference(quant_inst,[status(thm)],[])).
% 24.23/16.02 tff(6512,plain,
% 24.23/16.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB35, bitIndex2)) | v26(constB35) | v130(constB35, bitIndex2)),
% 24.23/16.02 inference(modus_ponens,[status(thm)],[6511, 6510])).
% 24.23/16.02 tff(6513,plain,
% 24.23/16.02 ((~v127(constB35, bitIndex2)) | v130(constB35, bitIndex2)),
% 24.23/16.02 inference(unit_resolution,[status(thm)],[6512, 1812, 6506])).
% 24.23/16.02 tff(6514,plain,
% 24.23/16.02 (~v127(constB35, bitIndex2)),
% 24.23/16.02 inference(unit_resolution,[status(thm)],[6513, 6502])).
% 24.23/16.02 tff(6515,plain,
% 24.23/16.02 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 24.23/16.02 inference(rewrite,[status(thm)],[])).
% 24.23/16.02 tff(6516,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_35_1')).
% 24.23/16.02 tff(6517,plain,
% 24.23/16.02 (nextState(constB35, constB36)),
% 24.23/16.02 inference(modus_ponens,[status(thm)],[6516, 6515])).
% 24.23/16.02 tff(6518,plain,
% 24.23/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB35, constB36)) | v127(constB35, bitIndex2) | (~v129(constB36, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB35, constB36)) | v127(constB35, bitIndex2) | (~v129(constB36, bitIndex2)))),
% 24.23/16.02 inference(rewrite,[status(thm)],[])).
% 24.23/16.02 tff(6519,plain,
% 24.23/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB35, constB36)) | v127(constB35, bitIndex2) | (~v129(constB36, bitIndex2)))),
% 24.23/16.02 inference(quant_inst,[status(thm)],[])).
% 24.23/16.02 tff(6520,plain,
% 24.23/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB35, constB36)) | v127(constB35, bitIndex2) | (~v129(constB36, bitIndex2))),
% 24.23/16.02 inference(modus_ponens,[status(thm)],[6519, 6518])).
% 24.23/16.02 tff(6521,plain,
% 24.23/16.02 (v127(constB35, bitIndex2) | (~v129(constB36, bitIndex2))),
% 24.23/16.02 inference(unit_resolution,[status(thm)],[6520, 1830, 6517])).
% 24.23/16.02 tff(6522,plain,
% 24.23/16.02 (~v129(constB36, bitIndex2)),
% 24.23/16.02 inference(unit_resolution,[status(thm)],[6521, 6514])).
% 24.23/16.02 tff(6523,assumption,(~v100(constB36)), introduced(assumption)).
% 24.23/16.02 tff(6524,assumption,(~v90(constB36, bitIndex0)), introduced(assumption)).
% 24.23/16.02 tff(6525,plain,
% 24.23/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB35, bitIndex0)) | (~nextState(constB35, constB36)) | v100(constB36) | v90(constB36, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB35, bitIndex0)) | (~nextState(constB35, constB36)) | v100(constB36) | v90(constB36, bitIndex0))),
% 24.23/16.02 inference(rewrite,[status(thm)],[])).
% 24.23/16.02 tff(6526,plain,
% 24.23/16.02 (((~nextState(constB35, constB36)) | (~v90(constB35, bitIndex0)) | v100(constB36) | v90(constB36, bitIndex0)) <=> ((~v90(constB35, bitIndex0)) | (~nextState(constB35, constB36)) | v100(constB36) | v90(constB36, bitIndex0))),
% 24.23/16.02 inference(rewrite,[status(thm)],[])).
% 24.23/16.02 tff(6527,plain,
% 24.23/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB35, constB36)) | (~v90(constB35, bitIndex0)) | v100(constB36) | v90(constB36, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB35, bitIndex0)) | (~nextState(constB35, constB36)) | v100(constB36) | v90(constB36, bitIndex0)))),
% 24.23/16.02 inference(monotonicity,[status(thm)],[6526])).
% 24.23/16.02 tff(6528,plain,
% 24.23/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB35, constB36)) | (~v90(constB35, bitIndex0)) | v100(constB36) | v90(constB36, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB35, bitIndex0)) | (~nextState(constB35, constB36)) | v100(constB36) | v90(constB36, bitIndex0))),
% 24.23/16.02 inference(transitivity,[status(thm)],[6527, 6525])).
% 24.23/16.02 tff(6529,plain,
% 24.23/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB35, constB36)) | (~v90(constB35, bitIndex0)) | v100(constB36) | v90(constB36, bitIndex0))),
% 24.23/16.02 inference(quant_inst,[status(thm)],[])).
% 24.23/16.02 tff(6530,plain,
% 24.23/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB35, bitIndex0)) | (~nextState(constB35, constB36)) | v100(constB36) | v90(constB36, bitIndex0)),
% 24.23/16.02 inference(modus_ponens,[status(thm)],[6529, 6528])).
% 24.23/16.02 tff(6531,plain,
% 24.23/16.02 ((~v90(constB35, bitIndex0)) | v100(constB36) | v90(constB36, bitIndex0)),
% 24.23/16.02 inference(unit_resolution,[status(thm)],[6530, 1993, 6517])).
% 24.23/16.02 tff(6532,plain,
% 24.23/16.02 (~v90(constB35, bitIndex0)),
% 24.23/16.02 inference(unit_resolution,[status(thm)],[6531, 6524, 6523])).
% 24.23/16.02 tff(6533,assumption,(~v90(constB36, bitIndex1)), introduced(assumption)).
% 24.23/16.02 tff(6534,plain,
% 24.23/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB35, bitIndex1)) | (~nextState(constB35, constB36)) | v100(constB36) | v90(constB36, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB35, bitIndex1)) | (~nextState(constB35, constB36)) | v100(constB36) | v90(constB36, bitIndex1))),
% 24.23/16.02 inference(rewrite,[status(thm)],[])).
% 24.23/16.02 tff(6535,plain,
% 24.23/16.02 (((~nextState(constB35, constB36)) | (~v90(constB35, bitIndex1)) | v100(constB36) | v90(constB36, bitIndex1)) <=> ((~v90(constB35, bitIndex1)) | (~nextState(constB35, constB36)) | v100(constB36) | v90(constB36, bitIndex1))),
% 24.23/16.02 inference(rewrite,[status(thm)],[])).
% 24.23/16.02 tff(6536,plain,
% 24.23/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB35, constB36)) | (~v90(constB35, bitIndex1)) | v100(constB36) | v90(constB36, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB35, bitIndex1)) | (~nextState(constB35, constB36)) | v100(constB36) | v90(constB36, bitIndex1)))),
% 24.23/16.02 inference(monotonicity,[status(thm)],[6535])).
% 24.23/16.02 tff(6537,plain,
% 24.23/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB35, constB36)) | (~v90(constB35, bitIndex1)) | v100(constB36) | v90(constB36, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB35, bitIndex1)) | (~nextState(constB35, constB36)) | v100(constB36) | v90(constB36, bitIndex1))),
% 24.23/16.02 inference(transitivity,[status(thm)],[6536, 6534])).
% 24.23/16.02 tff(6538,plain,
% 24.23/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB35, constB36)) | (~v90(constB35, bitIndex1)) | v100(constB36) | v90(constB36, bitIndex1))),
% 24.23/16.02 inference(quant_inst,[status(thm)],[])).
% 24.23/16.02 tff(6539,plain,
% 24.23/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB35, bitIndex1)) | (~nextState(constB35, constB36)) | v100(constB36) | v90(constB36, bitIndex1)),
% 24.23/16.02 inference(modus_ponens,[status(thm)],[6538, 6537])).
% 24.23/16.02 tff(6540,plain,
% 24.23/16.02 ((~v90(constB35, bitIndex1)) | v100(constB36) | v90(constB36, bitIndex1)),
% 24.23/16.02 inference(unit_resolution,[status(thm)],[6539, 1601, 6517])).
% 24.23/16.02 tff(6541,plain,
% 24.23/16.02 (~v90(constB35, bitIndex1)),
% 24.23/16.02 inference(unit_resolution,[status(thm)],[6540, 6533, 6523])).
% 24.23/16.02 tff(6542,assumption,(~v90(constB36, bitIndex2)), introduced(assumption)).
% 24.23/16.02 tff(6543,plain,
% 24.23/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB35, bitIndex2)) | (~nextState(constB35, constB36)) | v100(constB36) | v90(constB36, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB35, bitIndex2)) | (~nextState(constB35, constB36)) | v100(constB36) | v90(constB36, bitIndex2))),
% 24.23/16.02 inference(rewrite,[status(thm)],[])).
% 24.23/16.02 tff(6544,plain,
% 24.23/16.02 (((~nextState(constB35, constB36)) | (~v90(constB35, bitIndex2)) | v100(constB36) | v90(constB36, bitIndex2)) <=> ((~v90(constB35, bitIndex2)) | (~nextState(constB35, constB36)) | v100(constB36) | v90(constB36, bitIndex2))),
% 24.23/16.02 inference(rewrite,[status(thm)],[])).
% 24.23/16.02 tff(6545,plain,
% 24.23/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB35, constB36)) | (~v90(constB35, bitIndex2)) | v100(constB36) | v90(constB36, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB35, bitIndex2)) | (~nextState(constB35, constB36)) | v100(constB36) | v90(constB36, bitIndex2)))),
% 24.23/16.02 inference(monotonicity,[status(thm)],[6544])).
% 24.23/16.02 tff(6546,plain,
% 24.23/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB35, constB36)) | (~v90(constB35, bitIndex2)) | v100(constB36) | v90(constB36, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB35, bitIndex2)) | (~nextState(constB35, constB36)) | v100(constB36) | v90(constB36, bitIndex2))),
% 24.23/16.02 inference(transitivity,[status(thm)],[6545, 6543])).
% 24.23/16.02 tff(6547,plain,
% 24.23/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB35, constB36)) | (~v90(constB35, bitIndex2)) | v100(constB36) | v90(constB36, bitIndex2))),
% 24.23/16.02 inference(quant_inst,[status(thm)],[])).
% 24.23/16.02 tff(6548,plain,
% 24.23/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB35, bitIndex2)) | (~nextState(constB35, constB36)) | v100(constB36) | v90(constB36, bitIndex2)),
% 24.23/16.02 inference(modus_ponens,[status(thm)],[6547, 6546])).
% 24.23/16.02 tff(6549,plain,
% 24.23/16.02 ((~v90(constB35, bitIndex2)) | v100(constB36) | v90(constB36, bitIndex2)),
% 24.23/16.02 inference(unit_resolution,[status(thm)],[6548, 1240, 6517])).
% 24.23/16.02 tff(6550,plain,
% 24.23/16.02 (~v90(constB35, bitIndex2)),
% 24.23/16.02 inference(unit_resolution,[status(thm)],[6549, 6523, 6542])).
% 24.23/16.02 tff(6551,plain,
% 24.23/16.02 (~v90(constB35, bitIndex1)),
% 24.23/16.02 inference(unit_resolution,[status(thm)],[6540, 6523, 6533])).
% 24.23/16.02 tff(6552,plain,
% 24.23/16.02 (~v90(constB35, bitIndex0)),
% 24.23/16.02 inference(unit_resolution,[status(thm)],[6531, 6523, 6524])).
% 24.23/16.02 tff(6553,plain,
% 24.23/16.02 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2) | v119(constB35))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2) | v119(constB35))),
% 24.23/16.02 inference(rewrite,[status(thm)],[])).
% 24.23/16.02 tff(6554,plain,
% 24.23/16.02 ((v90(constB35, bitIndex0) | v119(constB35) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2)) <=> (v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2) | v119(constB35))),
% 24.23/16.02 inference(rewrite,[status(thm)],[])).
% 24.23/16.02 tff(6555,plain,
% 24.23/16.02 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB35, bitIndex0) | v119(constB35) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2) | v119(constB35)))),
% 24.23/16.02 inference(monotonicity,[status(thm)],[6554])).
% 24.23/16.02 tff(6556,plain,
% 24.23/16.02 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB35, bitIndex0) | v119(constB35) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2) | v119(constB35))),
% 24.23/16.02 inference(transitivity,[status(thm)],[6555, 6553])).
% 24.23/16.02 tff(6557,plain,
% 24.23/16.02 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB35, bitIndex0) | v119(constB35) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2))),
% 24.23/16.02 inference(quant_inst,[status(thm)],[])).
% 24.23/16.02 tff(6558,plain,
% 24.23/16.02 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2) | v119(constB35)),
% 24.23/16.02 inference(modus_ponens,[status(thm)],[6557, 6556])).
% 24.23/16.02 tff(6559,plain,
% 24.23/16.02 (v119(constB35)),
% 24.23/16.02 inference(unit_resolution,[status(thm)],[6558, 955, 6552, 6551, 6550])).
% 24.23/16.02 tff(6560,plain,
% 24.23/16.02 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB35)) | v118(constB35))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB35)) | v118(constB35))),
% 24.23/16.02 inference(rewrite,[status(thm)],[])).
% 24.23/16.02 tff(6561,plain,
% 24.23/16.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB35)) | v118(constB35))),
% 24.23/16.02 inference(quant_inst,[status(thm)],[])).
% 24.23/16.02 tff(6562,plain,
% 24.23/16.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB35)) | v118(constB35)),
% 24.23/16.02 inference(modus_ponens,[status(thm)],[6561, 6560])).
% 24.23/16.02 tff(6563,plain,
% 24.23/16.02 (v118(constB35)),
% 24.23/16.02 inference(unit_resolution,[status(thm)],[6562, 969, 6559])).
% 24.23/16.02 tff(6564,plain,
% 24.23/16.02 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB35) | (~v118(constB35)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB35) | (~v118(constB35)))),
% 24.23/16.02 inference(rewrite,[status(thm)],[])).
% 24.23/16.02 tff(6565,plain,
% 24.23/16.02 (((~v118(constB35)) | v117(constB35)) <=> (v117(constB35) | (~v118(constB35)))),
% 24.23/16.02 inference(rewrite,[status(thm)],[])).
% 24.23/16.02 tff(6566,plain,
% 24.23/16.02 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB35)) | v117(constB35))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB35) | (~v118(constB35))))),
% 24.23/16.02 inference(monotonicity,[status(thm)],[6565])).
% 24.23/16.02 tff(6567,plain,
% 24.23/16.02 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB35)) | v117(constB35))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB35) | (~v118(constB35)))),
% 24.23/16.02 inference(transitivity,[status(thm)],[6566, 6564])).
% 24.23/16.02 tff(6568,plain,
% 24.23/16.02 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB35)) | v117(constB35))),
% 24.23/16.02 inference(quant_inst,[status(thm)],[])).
% 24.23/16.02 tff(6569,plain,
% 24.23/16.02 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB35) | (~v118(constB35))),
% 24.23/16.02 inference(modus_ponens,[status(thm)],[6568, 6567])).
% 24.23/16.02 tff(6570,plain,
% 24.23/16.02 (v117(constB35)),
% 24.23/16.02 inference(unit_resolution,[status(thm)],[6569, 980, 6563])).
% 24.23/16.02 tff(6571,plain,
% 24.23/16.02 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB35) | (~v117(constB35)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB35) | (~v117(constB35)))),
% 24.23/16.02 inference(rewrite,[status(thm)],[])).
% 24.23/16.02 tff(6572,plain,
% 24.23/16.02 (((~v117(constB35)) | v116(constB35)) <=> (v116(constB35) | (~v117(constB35)))),
% 24.23/16.02 inference(rewrite,[status(thm)],[])).
% 24.23/16.02 tff(6573,plain,
% 24.23/16.02 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB35)) | v116(constB35))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB35) | (~v117(constB35))))),
% 24.23/16.02 inference(monotonicity,[status(thm)],[6572])).
% 24.23/16.02 tff(6574,plain,
% 24.23/16.02 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB35)) | v116(constB35))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB35) | (~v117(constB35)))),
% 24.23/16.02 inference(transitivity,[status(thm)],[6573, 6571])).
% 24.23/16.02 tff(6575,plain,
% 24.23/16.02 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB35)) | v116(constB35))),
% 24.23/16.02 inference(quant_inst,[status(thm)],[])).
% 24.23/16.02 tff(6576,plain,
% 24.23/16.02 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB35) | (~v117(constB35))),
% 24.23/16.02 inference(modus_ponens,[status(thm)],[6575, 6574])).
% 24.23/16.02 tff(6577,plain,
% 24.23/16.02 (v116(constB35)),
% 24.23/16.02 inference(unit_resolution,[status(thm)],[6576, 994, 6570])).
% 24.23/16.02 tff(6578,plain,
% 24.23/16.02 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))),
% 24.23/16.02 inference(rewrite,[status(thm)],[])).
% 24.23/16.02 tff(6579,plain,
% 24.23/16.02 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))),
% 24.31/16.02 inference(quant_inst,[status(thm)],[])).
% 24.31/16.02 tff(6580,plain,
% 24.31/16.02 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36))),
% 24.31/16.02 inference(modus_ponens,[status(thm)],[6579, 6578])).
% 24.31/16.02 tff(6581,plain,
% 24.31/16.02 (~v104(constB36)),
% 24.31/16.02 inference(unit_resolution,[status(thm)],[6580, 1100, 6517, 6419])).
% 24.31/16.02 tff(6582,plain,
% 24.31/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))),
% 24.31/16.02 inference(rewrite,[status(thm)],[])).
% 24.31/16.02 tff(6583,plain,
% 24.31/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))),
% 24.31/16.02 inference(quant_inst,[status(thm)],[])).
% 24.31/16.02 tff(6584,plain,
% 24.31/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v102(constB36) | v104(constB36)),
% 24.31/16.02 inference(modus_ponens,[status(thm)],[6583, 6582])).
% 24.31/16.02 tff(6585,plain,
% 24.31/16.02 (v102(constB36) | v104(constB36)),
% 24.31/16.02 inference(unit_resolution,[status(thm)],[6584, 1114, 6517])).
% 24.31/16.02 tff(6586,plain,
% 24.31/16.02 (v102(constB36)),
% 24.31/16.02 inference(unit_resolution,[status(thm)],[6585, 6581])).
% 24.31/16.02 tff(6587,plain,
% 24.31/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))),
% 24.31/16.02 inference(rewrite,[status(thm)],[])).
% 24.31/16.02 tff(6588,plain,
% 24.31/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))),
% 24.31/16.02 inference(quant_inst,[status(thm)],[])).
% 24.31/16.02 tff(6589,plain,
% 24.31/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36))),
% 24.31/16.02 inference(modus_ponens,[status(thm)],[6588, 6587])).
% 24.31/16.02 tff(6590,plain,
% 24.31/16.02 (v101(constB36) | (~v102(constB36))),
% 24.31/16.02 inference(unit_resolution,[status(thm)],[6589, 1129, 6517, 548])).
% 24.31/16.02 tff(6591,plain,
% 24.31/16.02 (v101(constB36)),
% 24.31/16.02 inference(unit_resolution,[status(thm)],[6590, 6586])).
% 24.31/16.02 tff(6592,plain,
% 24.31/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 24.31/16.02 inference(rewrite,[status(thm)],[])).
% 24.31/16.02 tff(6593,plain,
% 24.31/16.02 (((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36)) <=> ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 24.31/16.02 inference(rewrite,[status(thm)],[])).
% 24.31/16.02 tff(6594,plain,
% 24.31/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36))))),
% 24.31/16.02 inference(monotonicity,[status(thm)],[6593])).
% 24.31/16.02 tff(6595,plain,
% 24.31/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 24.31/16.02 inference(transitivity,[status(thm)],[6594, 6592])).
% 24.31/16.02 tff(6596,plain,
% 24.31/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))),
% 24.31/16.02 inference(quant_inst,[status(thm)],[])).
% 24.31/16.02 tff(6597,plain,
% 24.31/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 24.31/16.02 inference(modus_ponens,[status(thm)],[6596, 6595])).
% 24.31/16.02 tff(6598,plain,
% 24.31/16.02 (v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 24.31/16.02 inference(unit_resolution,[status(thm)],[6597, 1144, 6517])).
% 24.31/16.02 tff(6599,plain,
% 24.31/16.02 (v100(constB36) | (~v110(constB36))),
% 24.31/16.02 inference(unit_resolution,[status(thm)],[6598, 6591])).
% 24.31/16.02 tff(6600,plain,
% 24.31/16.02 (~v110(constB36)),
% 24.31/16.02 inference(unit_resolution,[status(thm)],[6599, 6523])).
% 24.31/16.02 tff(6601,plain,
% 24.31/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 24.31/16.02 inference(rewrite,[status(thm)],[])).
% 24.31/16.02 tff(6602,plain,
% 24.31/16.02 (((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36)) <=> ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 24.31/16.02 inference(rewrite,[status(thm)],[])).
% 24.31/16.02 tff(6603,plain,
% 24.31/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35))))),
% 24.31/16.02 inference(monotonicity,[status(thm)],[6602])).
% 24.31/16.02 tff(6604,plain,
% 24.31/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 24.31/16.02 inference(transitivity,[status(thm)],[6603, 6601])).
% 24.31/16.02 tff(6605,plain,
% 24.31/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))),
% 24.31/16.02 inference(quant_inst,[status(thm)],[])).
% 24.31/16.02 tff(6606,plain,
% 24.31/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35))),
% 24.31/16.02 inference(modus_ponens,[status(thm)],[6605, 6604])).
% 24.31/16.02 tff(6607,plain,
% 24.31/16.02 (v110(constB36) | (~v108(constB35))),
% 24.31/16.02 inference(unit_resolution,[status(thm)],[6606, 1082, 6517])).
% 24.31/16.02 tff(6608,plain,
% 24.31/16.02 (~v108(constB35)),
% 24.31/16.02 inference(unit_resolution,[status(thm)],[6607, 6600])).
% 24.31/16.02 tff(6609,plain,
% 24.31/16.02 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB35) | (~v112(constB35)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v112(constB35)))),
% 24.31/16.02 inference(rewrite,[status(thm)],[])).
% 24.31/16.02 tff(6610,plain,
% 24.31/16.02 (((~v112(constB35)) | v108(constB35)) <=> (v108(constB35) | (~v112(constB35)))),
% 24.31/16.02 inference(rewrite,[status(thm)],[])).
% 24.31/16.02 tff(6611,plain,
% 24.31/16.02 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB35)) | v108(constB35))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB35) | (~v112(constB35))))),
% 24.31/16.02 inference(monotonicity,[status(thm)],[6610])).
% 24.31/16.02 tff(6612,plain,
% 24.31/16.02 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB35)) | v108(constB35))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v112(constB35)))),
% 24.31/16.02 inference(transitivity,[status(thm)],[6611, 6609])).
% 24.31/16.02 tff(6613,plain,
% 24.31/16.02 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB35)) | v108(constB35))),
% 24.31/16.02 inference(quant_inst,[status(thm)],[])).
% 24.31/16.02 tff(6614,plain,
% 24.31/16.02 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v112(constB35))),
% 24.31/16.02 inference(modus_ponens,[status(thm)],[6613, 6612])).
% 24.31/16.02 tff(6615,plain,
% 24.31/16.02 (~v112(constB35)),
% 24.31/16.02 inference(unit_resolution,[status(thm)],[6614, 1062, 6608])).
% 24.31/16.02 tff(6616,plain,
% 24.31/16.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | (~v113(constB35)) | v112(constB35))),
% 24.31/16.02 inference(rewrite,[status(thm)],[])).
% 24.31/16.02 tff(6617,plain,
% 24.31/16.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))),
% 24.31/16.02 inference(quant_inst,[status(thm)],[])).
% 24.31/16.02 tff(6618,plain,
% 24.31/16.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | (~v113(constB35)) | v112(constB35)),
% 24.31/16.02 inference(modus_ponens,[status(thm)],[6617, 6616])).
% 24.31/16.02 tff(6619,plain,
% 24.31/16.02 ((~v113(constB35)) | v112(constB35)),
% 24.31/16.02 inference(unit_resolution,[status(thm)],[6618, 1050, 6506])).
% 24.31/16.02 tff(6620,plain,
% 24.31/16.02 (~v113(constB35)),
% 24.31/16.02 inference(unit_resolution,[status(thm)],[6619, 6615])).
% 24.31/16.02 tff(6621,plain,
% 24.31/16.02 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB35) | (~v114(constB35)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB35) | (~v114(constB35)))),
% 24.31/16.02 inference(rewrite,[status(thm)],[])).
% 24.31/16.02 tff(6622,plain,
% 24.31/16.02 (((~v114(constB35)) | v113(constB35)) <=> (v113(constB35) | (~v114(constB35)))),
% 24.31/16.02 inference(rewrite,[status(thm)],[])).
% 24.31/16.02 tff(6623,plain,
% 24.31/16.02 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB35)) | v113(constB35))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB35) | (~v114(constB35))))),
% 24.31/16.02 inference(monotonicity,[status(thm)],[6622])).
% 24.31/16.02 tff(6624,plain,
% 24.31/16.02 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB35)) | v113(constB35))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB35) | (~v114(constB35)))),
% 24.31/16.02 inference(transitivity,[status(thm)],[6623, 6621])).
% 24.31/16.02 tff(6625,plain,
% 24.31/16.02 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB35)) | v113(constB35))),
% 24.31/16.02 inference(quant_inst,[status(thm)],[])).
% 24.31/16.02 tff(6626,plain,
% 24.31/16.02 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB35) | (~v114(constB35))),
% 24.31/16.02 inference(modus_ponens,[status(thm)],[6625, 6624])).
% 24.31/16.02 tff(6627,plain,
% 24.31/16.02 (~v114(constB35)),
% 24.31/16.02 inference(unit_resolution,[status(thm)],[6626, 1036, 6620])).
% 24.31/16.02 tff(6628,plain,
% 24.31/16.02 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB35) | (~v115(constB35)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB35) | (~v115(constB35)))),
% 24.31/16.02 inference(rewrite,[status(thm)],[])).
% 24.31/16.02 tff(6629,plain,
% 24.31/16.03 (((~v115(constB35)) | v114(constB35)) <=> (v114(constB35) | (~v115(constB35)))),
% 24.31/16.03 inference(rewrite,[status(thm)],[])).
% 24.31/16.03 tff(6630,plain,
% 24.31/16.03 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB35)) | v114(constB35))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB35) | (~v115(constB35))))),
% 24.31/16.03 inference(monotonicity,[status(thm)],[6629])).
% 24.31/16.03 tff(6631,plain,
% 24.31/16.03 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB35)) | v114(constB35))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB35) | (~v115(constB35)))),
% 24.31/16.03 inference(transitivity,[status(thm)],[6630, 6628])).
% 24.31/16.03 tff(6632,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB35)) | v114(constB35))),
% 24.31/16.03 inference(quant_inst,[status(thm)],[])).
% 24.31/16.03 tff(6633,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB35) | (~v115(constB35))),
% 24.31/16.03 inference(modus_ponens,[status(thm)],[6632, 6631])).
% 24.31/16.03 tff(6634,plain,
% 24.31/16.03 (~v115(constB35)),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6633, 1022, 6627])).
% 24.31/16.03 tff(6635,plain,
% 24.31/16.03 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB35) | (~v116(constB35)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB35) | (~v116(constB35)))),
% 24.31/16.03 inference(rewrite,[status(thm)],[])).
% 24.31/16.03 tff(6636,plain,
% 24.31/16.03 (((~v116(constB35)) | v115(constB35)) <=> (v115(constB35) | (~v116(constB35)))),
% 24.31/16.03 inference(rewrite,[status(thm)],[])).
% 24.31/16.03 tff(6637,plain,
% 24.31/16.03 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB35)) | v115(constB35))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB35) | (~v116(constB35))))),
% 24.31/16.03 inference(monotonicity,[status(thm)],[6636])).
% 24.31/16.03 tff(6638,plain,
% 24.31/16.03 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB35)) | v115(constB35))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB35) | (~v116(constB35)))),
% 24.31/16.03 inference(transitivity,[status(thm)],[6637, 6635])).
% 24.31/16.03 tff(6639,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB35)) | v115(constB35))),
% 24.31/16.03 inference(quant_inst,[status(thm)],[])).
% 24.31/16.03 tff(6640,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB35) | (~v116(constB35))),
% 24.31/16.03 inference(modus_ponens,[status(thm)],[6639, 6638])).
% 24.31/16.03 tff(6641,plain,
% 24.31/16.03 ($false),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6640, 1008, 6634, 6577])).
% 24.31/16.03 tff(6642,plain,(v100(constB36) | v90(constB36, bitIndex2) | v90(constB36, bitIndex1) | v90(constB36, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 24.31/16.03 tff(6643,plain,
% 24.31/16.03 (v90(constB36, bitIndex2)),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6642, 6533, 6523, 6524])).
% 24.31/16.03 tff(6644,plain,
% 24.31/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB35, bitIndex2) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB35, bitIndex2) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, bitIndex2)))),
% 24.31/16.03 inference(rewrite,[status(thm)],[])).
% 24.31/16.03 tff(6645,plain,
% 24.31/16.03 (((~nextState(constB35, constB36)) | v90(constB35, bitIndex2) | v100(constB36) | (~v90(constB36, bitIndex2))) <=> (v90(constB35, bitIndex2) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, bitIndex2)))),
% 24.31/16.03 inference(rewrite,[status(thm)],[])).
% 24.31/16.03 tff(6646,plain,
% 24.31/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB35, constB36)) | v90(constB35, bitIndex2) | v100(constB36) | (~v90(constB36, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB35, bitIndex2) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, bitIndex2))))),
% 24.31/16.03 inference(monotonicity,[status(thm)],[6645])).
% 24.31/16.03 tff(6647,plain,
% 24.31/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB35, constB36)) | v90(constB35, bitIndex2) | v100(constB36) | (~v90(constB36, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB35, bitIndex2) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, bitIndex2)))),
% 24.31/16.03 inference(transitivity,[status(thm)],[6646, 6644])).
% 24.31/16.03 tff(6648,plain,
% 24.31/16.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB35, constB36)) | v90(constB35, bitIndex2) | v100(constB36) | (~v90(constB36, bitIndex2)))),
% 24.31/16.03 inference(quant_inst,[status(thm)],[])).
% 24.31/16.03 tff(6649,plain,
% 24.31/16.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB35, bitIndex2) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, bitIndex2))),
% 24.31/16.03 inference(modus_ponens,[status(thm)],[6648, 6647])).
% 24.31/16.03 tff(6650,plain,
% 24.31/16.03 (v90(constB35, bitIndex2) | v100(constB36) | (~v90(constB36, bitIndex2))),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6649, 892, 6517])).
% 24.31/16.03 tff(6651,plain,
% 24.31/16.03 (v90(constB35, bitIndex2)),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6650, 6643, 6523])).
% 24.31/16.03 tff(6652,plain,
% 24.31/16.03 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB35) | (~v123(constB35)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB35) | (~v123(constB35)))),
% 24.31/16.03 inference(rewrite,[status(thm)],[])).
% 24.31/16.03 tff(6653,plain,
% 24.31/16.03 (((~v123(constB35)) | v115(constB35)) <=> (v115(constB35) | (~v123(constB35)))),
% 24.31/16.03 inference(rewrite,[status(thm)],[])).
% 24.31/16.03 tff(6654,plain,
% 24.31/16.03 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB35)) | v115(constB35))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB35) | (~v123(constB35))))),
% 24.31/16.03 inference(monotonicity,[status(thm)],[6653])).
% 24.31/16.03 tff(6655,plain,
% 24.31/16.03 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB35)) | v115(constB35))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB35) | (~v123(constB35)))),
% 24.31/16.03 inference(transitivity,[status(thm)],[6654, 6652])).
% 24.31/16.03 tff(6656,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB35)) | v115(constB35))),
% 24.31/16.03 inference(quant_inst,[status(thm)],[])).
% 24.31/16.03 tff(6657,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB35) | (~v123(constB35))),
% 24.31/16.03 inference(modus_ponens,[status(thm)],[6656, 6655])).
% 24.31/16.03 tff(6658,plain,
% 24.31/16.03 (~v123(constB35)),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6657, 1412, 6634])).
% 24.31/16.03 tff(6659,plain,
% 24.31/16.03 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v123(constB35))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v123(constB35))),
% 24.31/16.03 inference(rewrite,[status(thm)],[])).
% 24.31/16.03 tff(6660,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v123(constB35))),
% 24.31/16.03 inference(quant_inst,[status(thm)],[])).
% 24.31/16.03 tff(6661,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v123(constB35)),
% 24.31/16.03 inference(modus_ponens,[status(thm)],[6660, 6659])).
% 24.31/16.03 tff(6662,plain,
% 24.31/16.03 (v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2))),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6661, 1401, 6658])).
% 24.31/16.03 tff(6663,plain,
% 24.31/16.03 ($false),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6662, 6651, 6541, 6532])).
% 24.31/16.03 tff(6664,plain,(v90(constB36, bitIndex1) | v100(constB36) | v90(constB36, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 24.31/16.03 tff(6665,plain,
% 24.31/16.03 (v90(constB36, bitIndex1)),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6664, 6524, 6523])).
% 24.31/16.03 tff(6666,plain,
% 24.31/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB35, bitIndex1) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB35, bitIndex1) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, bitIndex1)))),
% 24.31/16.03 inference(rewrite,[status(thm)],[])).
% 24.31/16.03 tff(6667,plain,
% 24.31/16.03 (((~nextState(constB35, constB36)) | v90(constB35, bitIndex1) | v100(constB36) | (~v90(constB36, bitIndex1))) <=> (v90(constB35, bitIndex1) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, bitIndex1)))),
% 24.31/16.03 inference(rewrite,[status(thm)],[])).
% 24.31/16.03 tff(6668,plain,
% 24.31/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB35, constB36)) | v90(constB35, bitIndex1) | v100(constB36) | (~v90(constB36, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB35, bitIndex1) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, bitIndex1))))),
% 24.31/16.03 inference(monotonicity,[status(thm)],[6667])).
% 24.31/16.03 tff(6669,plain,
% 24.31/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB35, constB36)) | v90(constB35, bitIndex1) | v100(constB36) | (~v90(constB36, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB35, bitIndex1) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, bitIndex1)))),
% 24.31/16.03 inference(transitivity,[status(thm)],[6668, 6666])).
% 24.31/16.03 tff(6670,plain,
% 24.31/16.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB35, constB36)) | v90(constB35, bitIndex1) | v100(constB36) | (~v90(constB36, bitIndex1)))),
% 24.31/16.03 inference(quant_inst,[status(thm)],[])).
% 24.31/16.03 tff(6671,plain,
% 24.31/16.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB35, bitIndex1) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, bitIndex1))),
% 24.31/16.03 inference(modus_ponens,[status(thm)],[6670, 6669])).
% 24.31/16.03 tff(6672,plain,
% 24.31/16.03 (v90(constB35, bitIndex1) | v100(constB36) | (~v90(constB36, bitIndex1))),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6671, 913, 6517])).
% 24.31/16.03 tff(6673,plain,
% 24.31/16.03 (v90(constB35, bitIndex1)),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6672, 6665, 6523])).
% 24.31/16.03 tff(6674,plain,
% 24.31/16.03 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB35)) | v113(constB35))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB35)) | v113(constB35))),
% 24.31/16.03 inference(rewrite,[status(thm)],[])).
% 24.31/16.03 tff(6675,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB35)) | v113(constB35))),
% 24.31/16.03 inference(quant_inst,[status(thm)],[])).
% 24.31/16.03 tff(6676,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB35)) | v113(constB35)),
% 24.31/16.03 inference(modus_ponens,[status(thm)],[6675, 6674])).
% 24.31/16.03 tff(6677,plain,
% 24.31/16.03 (~v125(constB35)),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6676, 1672, 6620])).
% 24.31/16.03 tff(6678,plain,
% 24.31/16.03 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2)) | v125(constB35))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2)) | v125(constB35))),
% 24.31/16.03 inference(rewrite,[status(thm)],[])).
% 24.31/16.03 tff(6679,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2)) | v125(constB35))),
% 24.31/16.03 inference(quant_inst,[status(thm)],[])).
% 24.31/16.03 tff(6680,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2)) | v125(constB35)),
% 24.31/16.03 inference(modus_ponens,[status(thm)],[6679, 6678])).
% 24.31/16.03 tff(6681,plain,
% 24.31/16.03 (v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2))),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6680, 1661, 6677])).
% 24.31/16.03 tff(6682,plain,
% 24.31/16.03 (~v90(constB35, bitIndex2)),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6681, 6673, 6532])).
% 24.31/16.03 tff(6683,plain,
% 24.31/16.03 (~v116(constB35)),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6640, 1008, 6634])).
% 24.31/16.03 tff(6684,plain,
% 24.31/16.03 (~v117(constB35)),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6576, 994, 6683])).
% 24.31/16.03 tff(6685,plain,
% 24.31/16.03 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB35)) | v117(constB35))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB35)) | v117(constB35))),
% 24.31/16.03 inference(rewrite,[status(thm)],[])).
% 24.31/16.03 tff(6686,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB35)) | v117(constB35))),
% 24.31/16.03 inference(quant_inst,[status(thm)],[])).
% 24.31/16.03 tff(6687,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB35)) | v117(constB35)),
% 24.31/16.03 inference(modus_ponens,[status(thm)],[6686, 6685])).
% 24.31/16.03 tff(6688,plain,
% 24.31/16.03 (~v121(constB35)),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6687, 2102, 6684])).
% 24.31/16.03 tff(6689,plain,
% 24.31/16.03 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex2) | v121(constB35))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex2) | v121(constB35))),
% 24.31/16.03 inference(rewrite,[status(thm)],[])).
% 24.31/16.03 tff(6690,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex2) | v121(constB35))),
% 24.31/16.03 inference(quant_inst,[status(thm)],[])).
% 24.31/16.03 tff(6691,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex2) | v121(constB35)),
% 24.31/16.03 inference(modus_ponens,[status(thm)],[6690, 6689])).
% 24.31/16.03 tff(6692,plain,
% 24.31/16.03 (v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex2)),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6691, 2145, 6688])).
% 24.31/16.03 tff(6693,plain,
% 24.31/16.03 ($false),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6692, 6682, 6673, 6532])).
% 24.31/16.03 tff(6694,plain,(v90(constB36, bitIndex0) | v100(constB36)), inference(lemma,lemma(discharge,[]))).
% 24.31/16.03 tff(6695,plain,
% 24.31/16.03 (v90(constB36, bitIndex0)),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6694, 6523])).
% 24.31/16.03 tff(6696,plain,
% 24.31/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB35, bitIndex0) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB35, bitIndex0) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, bitIndex0)))),
% 24.31/16.03 inference(rewrite,[status(thm)],[])).
% 24.31/16.03 tff(6697,plain,
% 24.31/16.03 (((~nextState(constB35, constB36)) | v90(constB35, bitIndex0) | v100(constB36) | (~v90(constB36, bitIndex0))) <=> (v90(constB35, bitIndex0) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, bitIndex0)))),
% 24.31/16.03 inference(rewrite,[status(thm)],[])).
% 24.31/16.03 tff(6698,plain,
% 24.31/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB35, constB36)) | v90(constB35, bitIndex0) | v100(constB36) | (~v90(constB36, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB35, bitIndex0) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, bitIndex0))))),
% 24.31/16.03 inference(monotonicity,[status(thm)],[6697])).
% 24.31/16.03 tff(6699,plain,
% 24.31/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB35, constB36)) | v90(constB35, bitIndex0) | v100(constB36) | (~v90(constB36, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB35, bitIndex0) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, bitIndex0)))),
% 24.31/16.03 inference(transitivity,[status(thm)],[6698, 6696])).
% 24.31/16.03 tff(6700,plain,
% 24.31/16.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB35, constB36)) | v90(constB35, bitIndex0) | v100(constB36) | (~v90(constB36, bitIndex0)))),
% 24.31/16.03 inference(quant_inst,[status(thm)],[])).
% 24.31/16.03 tff(6701,plain,
% 24.31/16.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB35, bitIndex0) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, bitIndex0))),
% 24.31/16.03 inference(modus_ponens,[status(thm)],[6700, 6699])).
% 24.31/16.03 tff(6702,plain,
% 24.31/16.03 (v90(constB35, bitIndex0) | v100(constB36) | (~v90(constB36, bitIndex0))),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6701, 934, 6517])).
% 24.31/16.03 tff(6703,plain,
% 24.31/16.03 (v90(constB35, bitIndex0)),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6702, 6695, 6523])).
% 24.31/16.03 tff(6704,assumption,(~v120(constB35)), introduced(assumption)).
% 24.31/16.03 tff(6705,plain,
% 24.31/16.03 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB35)) | v114(constB35))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB35)) | v114(constB35))),
% 24.31/16.03 inference(rewrite,[status(thm)],[])).
% 24.31/16.03 tff(6706,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB35)) | v114(constB35))),
% 24.31/16.03 inference(quant_inst,[status(thm)],[])).
% 24.31/16.03 tff(6707,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB35)) | v114(constB35)),
% 24.31/16.03 inference(modus_ponens,[status(thm)],[6706, 6705])).
% 24.31/16.03 tff(6708,plain,
% 24.31/16.03 (~v124(constB35)),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6707, 4721, 6627])).
% 24.31/16.03 tff(6709,assumption,(v90(constB35, bitIndex0)), introduced(assumption)).
% 24.31/16.03 tff(6710,assumption,(~v90(constB35, bitIndex1)), introduced(assumption)).
% 24.31/16.03 tff(6711,assumption,(~v124(constB35)), introduced(assumption)).
% 24.31/16.03 tff(6712,plain,
% 24.31/16.03 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v124(constB35))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v124(constB35))),
% 24.31/16.03 inference(rewrite,[status(thm)],[])).
% 24.31/16.03 tff(6713,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v124(constB35))),
% 24.31/16.03 inference(quant_inst,[status(thm)],[])).
% 24.31/16.03 tff(6714,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v124(constB35)),
% 24.31/16.03 inference(modus_ponens,[status(thm)],[6713, 6712])).
% 24.31/16.03 tff(6715,plain,
% 24.31/16.03 ((~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2))),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6714, 4735, 6711])).
% 24.31/16.03 tff(6716,plain,
% 24.31/16.03 (~v90(constB35, bitIndex2)),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6715, 6710, 6709])).
% 24.31/16.03 tff(6717,plain,
% 24.31/16.03 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2) | v120(constB35))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2) | v120(constB35))),
% 24.31/16.03 inference(rewrite,[status(thm)],[])).
% 24.31/16.03 tff(6718,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2) | v120(constB35))),
% 24.31/16.03 inference(quant_inst,[status(thm)],[])).
% 24.31/16.03 tff(6719,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2) | v120(constB35)),
% 24.31/16.03 inference(modus_ponens,[status(thm)],[6718, 6717])).
% 24.31/16.03 tff(6720,plain,
% 24.31/16.03 ((~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2)),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6719, 2012, 6704])).
% 24.31/16.03 tff(6721,plain,
% 24.31/16.03 ($false),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6720, 6716, 6710, 6709])).
% 24.31/16.03 tff(6722,plain,(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)) | v120(constB35) | v124(constB35)), inference(lemma,lemma(discharge,[]))).
% 24.31/16.03 tff(6723,plain,
% 24.31/16.03 (v90(constB35, bitIndex1)),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6722, 6708, 6704, 6703])).
% 24.31/16.03 tff(6724,plain,
% 24.31/16.03 (v90(constB36, bitIndex1)),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6540, 6723, 6523])).
% 24.31/16.03 tff(6725,assumption,(v90(constB36, bitIndex1)), introduced(assumption)).
% 24.31/16.03 tff(6726,plain,
% 24.31/16.03 (v90(constB35, bitIndex1)),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6672, 6523, 6725])).
% 24.31/16.03 tff(6727,assumption,(v90(constB36, bitIndex0)), introduced(assumption)).
% 24.31/16.03 tff(6728,plain,
% 24.31/16.03 (v90(constB35, bitIndex0)),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6702, 6523, 6727])).
% 24.31/16.03 tff(6729,plain,
% 24.31/16.03 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex2) | v122(constB35))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex2) | v122(constB35))),
% 24.31/16.03 inference(rewrite,[status(thm)],[])).
% 24.31/16.03 tff(6730,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex2) | v122(constB35))),
% 24.31/16.03 inference(quant_inst,[status(thm)],[])).
% 24.31/16.03 tff(6731,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex2) | v122(constB35)),
% 24.31/16.03 inference(modus_ponens,[status(thm)],[6730, 6729])).
% 24.31/16.03 tff(6732,plain,
% 24.31/16.03 (v122(constB35)),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6731, 2641, 6728, 6726, 6550])).
% 24.31/16.03 tff(6733,plain,
% 24.31/16.03 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB35)) | v116(constB35))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB35)) | v116(constB35))),
% 24.31/16.03 inference(rewrite,[status(thm)],[])).
% 24.31/16.03 tff(6734,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB35)) | v116(constB35))),
% 24.31/16.03 inference(quant_inst,[status(thm)],[])).
% 24.31/16.03 tff(6735,plain,
% 24.31/16.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB35)) | v116(constB35)),
% 24.31/16.03 inference(modus_ponens,[status(thm)],[6734, 6733])).
% 24.31/16.03 tff(6736,plain,
% 24.31/16.03 (v116(constB35)),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6735, 2652, 6732])).
% 24.31/16.03 tff(6737,plain,
% 24.31/16.03 (v115(constB35)),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6640, 1008, 6736])).
% 24.31/16.03 tff(6738,plain,
% 24.31/16.03 ($false),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6633, 1022, 6737, 6627])).
% 24.31/16.03 tff(6739,plain,(v100(constB36) | (~v90(constB36, bitIndex1)) | v90(constB36, bitIndex2) | (~v90(constB36, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 24.31/16.03 tff(6740,plain,
% 24.31/16.03 (v90(constB36, bitIndex2)),
% 24.31/16.03 inference(unit_resolution,[status(thm)],[6739, 6724, 6523, 6695])).
% 24.31/16.03 tff(6741,plain,
% 24.31/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex0)))),
% 24.31/16.03 inference(rewrite,[status(thm)],[])).
% 24.31/16.03 tff(6742,plain,
% 24.31/16.03 (((~nextState(constB34, constB35)) | v90(constB34, bitIndex0) | v100(constB35) | (~v90(constB35, bitIndex0))) <=> (v90(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex0)))),
% 24.31/16.03 inference(rewrite,[status(thm)],[])).
% 24.31/16.03 tff(6743,plain,
% 24.31/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex0) | v100(constB35) | (~v90(constB35, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex0))))),
% 24.31/16.03 inference(monotonicity,[status(thm)],[6742])).
% 24.31/16.03 tff(6744,plain,
% 24.31/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex0) | v100(constB35) | (~v90(constB35, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex0)))),
% 24.31/16.04 inference(transitivity,[status(thm)],[6743, 6741])).
% 24.31/16.04 tff(6745,plain,
% 24.31/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex0) | v100(constB35) | (~v90(constB35, bitIndex0)))),
% 24.31/16.04 inference(quant_inst,[status(thm)],[])).
% 24.31/16.04 tff(6746,plain,
% 24.31/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex0))),
% 24.31/16.04 inference(modus_ponens,[status(thm)],[6745, 6744])).
% 24.31/16.04 tff(6747,plain,
% 24.31/16.04 (v90(constB34, bitIndex0) | v100(constB35) | (~v90(constB35, bitIndex0))),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6746, 934, 6422])).
% 24.31/16.04 tff(6748,plain,
% 24.31/16.04 (v90(constB34, bitIndex0) | (~v90(constB35, bitIndex0))),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6747, 6434])).
% 24.31/16.04 tff(6749,plain,
% 24.31/16.04 (v90(constB34, bitIndex0)),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6748, 6703])).
% 24.31/16.04 tff(6750,assumption,(v100(constB34)), introduced(assumption)).
% 24.31/16.04 tff(6751,plain,
% 24.31/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1)))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6752,plain,
% 24.31/16.04 (((~nextState(constB34, constB35)) | v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1))) <=> (v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1)))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6753,plain,
% 24.31/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1))))),
% 24.31/16.04 inference(monotonicity,[status(thm)],[6752])).
% 24.31/16.04 tff(6754,plain,
% 24.31/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1)))),
% 24.31/16.04 inference(transitivity,[status(thm)],[6753, 6751])).
% 24.31/16.04 tff(6755,plain,
% 24.31/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1)))),
% 24.31/16.04 inference(quant_inst,[status(thm)],[])).
% 24.31/16.04 tff(6756,plain,
% 24.31/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1))),
% 24.31/16.04 inference(modus_ponens,[status(thm)],[6755, 6754])).
% 24.31/16.04 tff(6757,plain,
% 24.31/16.04 (v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1))),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6756, 913, 6422])).
% 24.31/16.04 tff(6758,plain,
% 24.31/16.04 (v90(constB34, bitIndex1) | (~v90(constB35, bitIndex1))),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6757, 6434])).
% 24.31/16.04 tff(6759,plain,
% 24.31/16.04 (v90(constB34, bitIndex1)),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6758, 6723])).
% 24.31/16.04 tff(6760,plain,
% 24.31/16.04 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB34, bitIndex2)) | v129(constB34, bitIndex2) | (~v100(constB34)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB34, bitIndex2)) | v129(constB34, bitIndex2) | (~v100(constB34)))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6761,plain,
% 24.31/16.04 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB34, bitIndex2)) | v129(constB34, bitIndex2) | (~v100(constB34)))),
% 24.31/16.04 inference(quant_inst,[status(thm)],[])).
% 24.31/16.04 tff(6762,plain,
% 24.31/16.04 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB34, bitIndex2)) | v129(constB34, bitIndex2) | (~v100(constB34))),
% 24.31/16.04 inference(modus_ponens,[status(thm)],[6761, 6760])).
% 24.31/16.04 tff(6763,plain,
% 24.31/16.04 (v129(constB34, bitIndex2) | (~v100(constB34))),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6762, 1845, 6110])).
% 24.31/16.04 tff(6764,plain,
% 24.31/16.04 (v129(constB34, bitIndex2)),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6763, 6750])).
% 24.31/16.04 tff(6765,plain,
% 24.31/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB33, constB34)) | v127(constB33, bitIndex2) | (~v129(constB34, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB33, constB34)) | v127(constB33, bitIndex2) | (~v129(constB34, bitIndex2)))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6766,plain,
% 24.31/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB33, constB34)) | v127(constB33, bitIndex2) | (~v129(constB34, bitIndex2)))),
% 24.31/16.04 inference(quant_inst,[status(thm)],[])).
% 24.31/16.04 tff(6767,plain,
% 24.31/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB33, constB34)) | v127(constB33, bitIndex2) | (~v129(constB34, bitIndex2))),
% 24.31/16.04 inference(modus_ponens,[status(thm)],[6766, 6765])).
% 24.31/16.04 tff(6768,plain,
% 24.31/16.04 (v127(constB33, bitIndex2) | (~v129(constB34, bitIndex2))),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6767, 1830, 5816])).
% 24.31/16.04 tff(6769,plain,
% 24.31/16.04 (v127(constB33, bitIndex2)),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6768, 6764])).
% 24.31/16.04 tff(6770,plain,
% 24.31/16.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB33, bitIndex2)) | v26(constB33) | v130(constB33, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB33, bitIndex2)) | v26(constB33) | v130(constB33, bitIndex2))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6771,plain,
% 24.31/16.04 ((v26(constB33) | v130(constB33, bitIndex2) | (~v127(constB33, bitIndex2))) <=> ((~v127(constB33, bitIndex2)) | v26(constB33) | v130(constB33, bitIndex2))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6772,plain,
% 24.31/16.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB33) | v130(constB33, bitIndex2) | (~v127(constB33, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB33, bitIndex2)) | v26(constB33) | v130(constB33, bitIndex2)))),
% 24.31/16.04 inference(monotonicity,[status(thm)],[6771])).
% 24.31/16.04 tff(6773,plain,
% 24.31/16.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB33) | v130(constB33, bitIndex2) | (~v127(constB33, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB33, bitIndex2)) | v26(constB33) | v130(constB33, bitIndex2))),
% 24.31/16.04 inference(transitivity,[status(thm)],[6772, 6770])).
% 24.31/16.04 tff(6774,plain,
% 24.31/16.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB33) | v130(constB33, bitIndex2) | (~v127(constB33, bitIndex2)))),
% 24.31/16.04 inference(quant_inst,[status(thm)],[])).
% 24.31/16.04 tff(6775,plain,
% 24.31/16.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB33, bitIndex2)) | v26(constB33) | v130(constB33, bitIndex2)),
% 24.31/16.04 inference(modus_ponens,[status(thm)],[6774, 6773])).
% 24.31/16.04 tff(6776,plain,
% 24.31/16.04 ((~v127(constB33, bitIndex2)) | v130(constB33, bitIndex2)),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6775, 1812, 5808])).
% 24.31/16.04 tff(6777,plain,
% 24.31/16.04 (v130(constB33, bitIndex2)),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6776, 6769])).
% 24.31/16.04 tff(6778,plain,
% 24.31/16.04 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB33)) | (~v130(constB33, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB33)) | (~v130(constB33, bitIndex2)))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6779,plain,
% 24.31/16.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB33)) | (~v130(constB33, bitIndex2)))),
% 24.31/16.04 inference(quant_inst,[status(thm)],[])).
% 24.31/16.04 tff(6780,plain,
% 24.31/16.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB33)) | (~v130(constB33, bitIndex2))),
% 24.31/16.04 inference(modus_ponens,[status(thm)],[6779, 6778])).
% 24.31/16.04 tff(6781,plain,
% 24.31/16.04 (~v124(constB33)),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6780, 4807, 6777])).
% 24.31/16.04 tff(6782,plain,
% 24.31/16.04 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB33)) | (~v130(constB33, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB33)) | (~v130(constB33, bitIndex2)))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6783,plain,
% 24.31/16.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB33)) | (~v130(constB33, bitIndex2)))),
% 24.31/16.04 inference(quant_inst,[status(thm)],[])).
% 24.31/16.04 tff(6784,plain,
% 24.31/16.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB33)) | (~v130(constB33, bitIndex2))),
% 24.31/16.04 inference(modus_ponens,[status(thm)],[6783, 6782])).
% 24.31/16.04 tff(6785,plain,
% 24.31/16.04 (~v121(constB33)),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6784, 2406, 6777])).
% 24.31/16.04 tff(6786,plain,
% 24.31/16.04 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34)))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6787,plain,
% 24.31/16.04 (((~v90(constB34, bitIndex0)) | (~v100(constB34)) | v129(constB34, bitIndex0)) <=> ((~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34)))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6788,plain,
% 24.31/16.04 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | (~v100(constB34)) | v129(constB34, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34))))),
% 24.31/16.04 inference(monotonicity,[status(thm)],[6787])).
% 24.31/16.04 tff(6789,plain,
% 24.31/16.04 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | (~v100(constB34)) | v129(constB34, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34)))),
% 24.31/16.04 inference(transitivity,[status(thm)],[6788, 6786])).
% 24.31/16.04 tff(6790,plain,
% 24.31/16.04 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | (~v100(constB34)) | v129(constB34, bitIndex0))),
% 24.31/16.04 inference(quant_inst,[status(thm)],[])).
% 24.31/16.04 tff(6791,plain,
% 24.31/16.04 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34))),
% 24.31/16.04 inference(modus_ponens,[status(thm)],[6790, 6789])).
% 24.31/16.04 tff(6792,plain,
% 24.31/16.04 (v129(constB34, bitIndex0) | (~v100(constB34))),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6791, 1374, 6120])).
% 24.31/16.04 tff(6793,plain,
% 24.31/16.04 (v129(constB34, bitIndex0)),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6792, 6750])).
% 24.31/16.04 tff(6794,plain,
% 24.31/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB33, constB34)) | v127(constB33, bitIndex0) | (~v129(constB34, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB33, constB34)) | v127(constB33, bitIndex0) | (~v129(constB34, bitIndex0)))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6795,plain,
% 24.31/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB33, constB34)) | v127(constB33, bitIndex0) | (~v129(constB34, bitIndex0)))),
% 24.31/16.04 inference(quant_inst,[status(thm)],[])).
% 24.31/16.04 tff(6796,plain,
% 24.31/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB33, constB34)) | v127(constB33, bitIndex0) | (~v129(constB34, bitIndex0))),
% 24.31/16.04 inference(modus_ponens,[status(thm)],[6795, 6794])).
% 24.31/16.04 tff(6797,plain,
% 24.31/16.04 (v127(constB33, bitIndex0) | (~v129(constB34, bitIndex0))),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6796, 1359, 5816])).
% 24.31/16.04 tff(6798,plain,
% 24.31/16.04 (v127(constB33, bitIndex0)),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6797, 6793])).
% 24.31/16.04 tff(6799,plain,
% 24.31/16.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6800,plain,
% 24.31/16.04 ((v26(constB33) | v130(constB33, bitIndex0) | (~v127(constB33, bitIndex0))) <=> ((~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6801,plain,
% 24.31/16.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB33) | v130(constB33, bitIndex0) | (~v127(constB33, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0)))),
% 24.31/16.04 inference(monotonicity,[status(thm)],[6800])).
% 24.31/16.04 tff(6802,plain,
% 24.31/16.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB33) | v130(constB33, bitIndex0) | (~v127(constB33, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0))),
% 24.31/16.04 inference(transitivity,[status(thm)],[6801, 6799])).
% 24.31/16.04 tff(6803,plain,
% 24.31/16.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB33) | v130(constB33, bitIndex0) | (~v127(constB33, bitIndex0)))),
% 24.31/16.04 inference(quant_inst,[status(thm)],[])).
% 24.31/16.04 tff(6804,plain,
% 24.31/16.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0)),
% 24.31/16.04 inference(modus_ponens,[status(thm)],[6803, 6802])).
% 24.31/16.04 tff(6805,plain,
% 24.31/16.04 ((~v127(constB33, bitIndex0)) | v130(constB33, bitIndex0)),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6804, 1341, 5808])).
% 24.31/16.04 tff(6806,plain,
% 24.31/16.04 (v130(constB33, bitIndex0)),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6805, 6798])).
% 24.31/16.04 tff(6807,plain,
% 24.31/16.04 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB33)) | (~v130(constB33, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB33)) | (~v130(constB33, bitIndex0)))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6808,plain,
% 24.31/16.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB33)) | (~v130(constB33, bitIndex0)))),
% 24.31/16.04 inference(quant_inst,[status(thm)],[])).
% 24.31/16.04 tff(6809,plain,
% 24.31/16.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB33)) | (~v130(constB33, bitIndex0))),
% 24.31/16.04 inference(modus_ponens,[status(thm)],[6808, 6807])).
% 24.31/16.04 tff(6810,plain,
% 24.31/16.04 (~v120(constB33)),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6809, 2023, 6806])).
% 24.31/16.04 tff(6811,plain,
% 24.31/16.04 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB33)) | (~v130(constB33, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB33)) | (~v130(constB33, bitIndex0)))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6812,plain,
% 24.31/16.04 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB33)) | (~v130(constB33, bitIndex0)))),
% 24.31/16.04 inference(quant_inst,[status(thm)],[])).
% 24.31/16.04 tff(6813,plain,
% 24.31/16.04 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB33)) | (~v130(constB33, bitIndex0))),
% 24.31/16.04 inference(modus_ponens,[status(thm)],[6812, 6811])).
% 24.31/16.04 tff(6814,plain,
% 24.31/16.04 (~v119(constB33)),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6813, 1327, 6806])).
% 24.31/16.04 tff(6815,plain,
% 24.31/16.04 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB33)) | (~v130(constB33, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB33)) | (~v130(constB33, bitIndex0)))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6816,plain,
% 24.31/16.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB33)) | (~v130(constB33, bitIndex0)))),
% 24.31/16.04 inference(quant_inst,[status(thm)],[])).
% 24.31/16.04 tff(6817,plain,
% 24.31/16.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB33)) | (~v130(constB33, bitIndex0))),
% 24.31/16.04 inference(modus_ponens,[status(thm)],[6816, 6815])).
% 24.31/16.04 tff(6818,plain,
% 24.31/16.04 (~v122(constB33)),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6817, 2833, 6806])).
% 24.31/16.04 tff(6819,plain,
% 24.31/16.04 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB33)) | (~v130(constB33, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB33)) | (~v130(constB33, bitIndex0)))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6820,plain,
% 24.31/16.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB33)) | (~v130(constB33, bitIndex0)))),
% 24.31/16.04 inference(quant_inst,[status(thm)],[])).
% 24.31/16.04 tff(6821,plain,
% 24.31/16.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB33)) | (~v130(constB33, bitIndex0))),
% 24.31/16.04 inference(modus_ponens,[status(thm)],[6820, 6819])).
% 24.31/16.04 tff(6822,plain,
% 24.31/16.04 (~v123(constB33)),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6821, 1617, 6806])).
% 24.31/16.04 tff(6823,plain,
% 24.31/16.04 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34)))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6824,plain,
% 24.31/16.04 (((~v90(constB34, bitIndex1)) | (~v100(constB34)) | v129(constB34, bitIndex1)) <=> ((~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34)))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6825,plain,
% 24.31/16.04 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | (~v100(constB34)) | v129(constB34, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34))))),
% 24.31/16.04 inference(monotonicity,[status(thm)],[6824])).
% 24.31/16.04 tff(6826,plain,
% 24.31/16.04 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | (~v100(constB34)) | v129(constB34, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34)))),
% 24.31/16.04 inference(transitivity,[status(thm)],[6825, 6823])).
% 24.31/16.04 tff(6827,plain,
% 24.31/16.04 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | (~v100(constB34)) | v129(constB34, bitIndex1))),
% 24.31/16.04 inference(quant_inst,[status(thm)],[])).
% 24.31/16.04 tff(6828,plain,
% 24.31/16.04 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34))),
% 24.31/16.04 inference(modus_ponens,[status(thm)],[6827, 6826])).
% 24.31/16.04 tff(6829,plain,
% 24.31/16.04 (v129(constB34, bitIndex1) | (~v100(constB34))),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6828, 1303, 6100])).
% 24.31/16.04 tff(6830,plain,
% 24.31/16.04 (v129(constB34, bitIndex1)),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6829, 6750])).
% 24.31/16.04 tff(6831,plain,
% 24.31/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB33, constB34)) | v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB33, constB34)) | v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1)))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6832,plain,
% 24.31/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB33, constB34)) | v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1)))),
% 24.31/16.04 inference(quant_inst,[status(thm)],[])).
% 24.31/16.04 tff(6833,plain,
% 24.31/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB33, constB34)) | v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1))),
% 24.31/16.04 inference(modus_ponens,[status(thm)],[6832, 6831])).
% 24.31/16.04 tff(6834,plain,
% 24.31/16.04 (v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1))),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6833, 1288, 5816])).
% 24.31/16.04 tff(6835,plain,
% 24.31/16.04 (v127(constB33, bitIndex1)),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6834, 6830])).
% 24.31/16.04 tff(6836,plain,
% 24.31/16.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6837,plain,
% 24.31/16.04 ((v26(constB33) | v130(constB33, bitIndex1) | (~v127(constB33, bitIndex1))) <=> ((~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6838,plain,
% 24.31/16.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB33) | v130(constB33, bitIndex1) | (~v127(constB33, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1)))),
% 24.31/16.04 inference(monotonicity,[status(thm)],[6837])).
% 24.31/16.04 tff(6839,plain,
% 24.31/16.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB33) | v130(constB33, bitIndex1) | (~v127(constB33, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1))),
% 24.31/16.04 inference(transitivity,[status(thm)],[6838, 6836])).
% 24.31/16.04 tff(6840,plain,
% 24.31/16.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB33) | v130(constB33, bitIndex1) | (~v127(constB33, bitIndex1)))),
% 24.31/16.04 inference(quant_inst,[status(thm)],[])).
% 24.31/16.04 tff(6841,plain,
% 24.31/16.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1)),
% 24.31/16.04 inference(modus_ponens,[status(thm)],[6840, 6839])).
% 24.31/16.04 tff(6842,plain,
% 24.31/16.04 ((~v127(constB33, bitIndex1)) | v130(constB33, bitIndex1)),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6841, 1270, 5808])).
% 24.31/16.04 tff(6843,plain,
% 24.31/16.04 (v130(constB33, bitIndex1)),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6842, 6835])).
% 24.31/16.04 tff(6844,plain,
% 24.31/16.04 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB33) | v120(constB33) | v121(constB33) | v122(constB33) | v123(constB33) | v124(constB33) | (~v130(constB33, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB33) | v120(constB33) | v121(constB33) | v122(constB33) | v123(constB33) | v124(constB33) | (~v130(constB33, bitIndex1)))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6845,plain,
% 24.31/16.04 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB33) | v120(constB33) | v121(constB33) | v122(constB33) | v123(constB33) | v124(constB33) | (~v130(constB33, bitIndex1)))),
% 24.31/16.04 inference(quant_inst,[status(thm)],[])).
% 24.31/16.04 tff(6846,plain,
% 24.31/16.04 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB33) | v120(constB33) | v121(constB33) | v122(constB33) | v123(constB33) | v124(constB33) | (~v130(constB33, bitIndex1))),
% 24.31/16.04 inference(modus_ponens,[status(thm)],[6845, 6844])).
% 24.31/16.04 tff(6847,plain,
% 24.31/16.04 (v121(constB33) | v124(constB33)),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6846, 1887, 6843, 6822, 6818, 6814, 6810])).
% 24.31/16.04 tff(6848,plain,
% 24.31/16.04 ($false),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6847, 6785, 6781])).
% 24.31/16.04 tff(6849,plain,((~v100(constB34)) | (~v90(constB34, bitIndex2)) | (~v90(constB34, bitIndex1)) | (~v90(constB34, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 24.31/16.04 tff(6850,plain,
% 24.31/16.04 (~v90(constB34, bitIndex2)),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6849, 6759, 6750, 6749])).
% 24.31/16.04 tff(6851,plain,
% 24.31/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex2)))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6852,plain,
% 24.31/16.04 (((~nextState(constB34, constB35)) | v90(constB34, bitIndex2) | v100(constB35) | (~v90(constB35, bitIndex2))) <=> (v90(constB34, bitIndex2) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex2)))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6853,plain,
% 24.31/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex2) | v100(constB35) | (~v90(constB35, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex2))))),
% 24.31/16.04 inference(monotonicity,[status(thm)],[6852])).
% 24.31/16.04 tff(6854,plain,
% 24.31/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex2) | v100(constB35) | (~v90(constB35, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex2)))),
% 24.31/16.04 inference(transitivity,[status(thm)],[6853, 6851])).
% 24.31/16.04 tff(6855,plain,
% 24.31/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex2) | v100(constB35) | (~v90(constB35, bitIndex2)))),
% 24.31/16.04 inference(quant_inst,[status(thm)],[])).
% 24.31/16.04 tff(6856,plain,
% 24.31/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex2))),
% 24.31/16.04 inference(modus_ponens,[status(thm)],[6855, 6854])).
% 24.31/16.04 tff(6857,plain,
% 24.31/16.04 (v90(constB34, bitIndex2) | v100(constB35) | (~v90(constB35, bitIndex2))),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6856, 892, 6422])).
% 24.31/16.04 tff(6858,plain,
% 24.31/16.04 (v90(constB34, bitIndex2) | (~v90(constB35, bitIndex2))),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6857, 6434])).
% 24.31/16.04 tff(6859,plain,
% 24.31/16.04 (~v90(constB35, bitIndex2)),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6858, 6850])).
% 24.31/16.04 tff(6860,plain,
% 24.31/16.04 ($false),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6650, 6859, 6740, 6523])).
% 24.31/16.04 tff(6861,plain,(v100(constB36) | (~v100(constB34)) | v120(constB35)), inference(lemma,lemma(discharge,[]))).
% 24.31/16.04 tff(6862,plain,
% 24.31/16.04 (v100(constB36)),
% 24.31/16.04 inference(unit_resolution,[status(thm)],[6861, 6498, 6408])).
% 24.31/16.04 tff(6863,plain,
% 24.31/16.04 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB36, bitIndex2)) | v129(constB36, bitIndex2) | (~v100(constB36)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB36, bitIndex2)) | v129(constB36, bitIndex2) | (~v100(constB36)))),
% 24.31/16.04 inference(rewrite,[status(thm)],[])).
% 24.31/16.04 tff(6864,plain,
% 24.31/16.04 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB36, bitIndex2)) | v129(constB36, bitIndex2) | (~v100(constB36)))),
% 24.31/16.04 inference(quant_inst,[status(thm)],[])).
% 24.31/16.04 tff(6865,plain,
% 24.31/16.05 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB36, bitIndex2)) | v129(constB36, bitIndex2) | (~v100(constB36))),
% 24.31/16.05 inference(modus_ponens,[status(thm)],[6864, 6863])).
% 24.31/16.05 tff(6866,plain,
% 24.31/16.05 ((~v90(constB36, bitIndex2)) | v129(constB36, bitIndex2)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6865, 1845, 6862])).
% 24.31/16.05 tff(6867,plain,
% 24.31/16.05 (~v90(constB36, bitIndex2)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6866, 6522])).
% 24.31/16.05 tff(6868,plain,
% 24.31/16.05 ((~v1(constB37)) <=> (~v1(constB37))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6869,axiom,(~v1(constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_37_1_1')).
% 24.31/16.05 tff(6870,plain,
% 24.31/16.05 (~v1(constB37)),
% 24.31/16.05 inference(modus_ponens,[status(thm)],[6869, 6868])).
% 24.31/16.05 tff(6871,plain,
% 24.31/16.05 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6872,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_36_1')).
% 24.31/16.05 tff(6873,plain,
% 24.31/16.05 (nextState(constB36, constB37)),
% 24.31/16.05 inference(modus_ponens,[status(thm)],[6872, 6871])).
% 24.31/16.05 tff(6874,plain,
% 24.31/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6875,plain,
% 24.31/16.05 (((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37)) <=> (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6876,plain,
% 24.31/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37))))),
% 24.31/16.05 inference(monotonicity,[status(thm)],[6875])).
% 24.31/16.05 tff(6877,plain,
% 24.31/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 24.31/16.05 inference(transitivity,[status(thm)],[6876, 6874])).
% 24.31/16.05 tff(6878,plain,
% 24.31/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))),
% 24.31/16.05 inference(quant_inst,[status(thm)],[])).
% 24.31/16.05 tff(6879,plain,
% 24.31/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37))),
% 24.31/16.05 inference(modus_ponens,[status(thm)],[6878, 6877])).
% 24.31/16.05 tff(6880,plain,
% 24.31/16.05 (~v101(constB37)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6879, 860, 6873, 6870])).
% 24.31/16.05 tff(6881,plain,
% 24.31/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6882,plain,
% 24.31/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))),
% 24.31/16.05 inference(quant_inst,[status(thm)],[])).
% 24.31/16.05 tff(6883,plain,
% 24.31/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37))),
% 24.31/16.05 inference(modus_ponens,[status(thm)],[6882, 6881])).
% 24.31/16.05 tff(6884,plain,
% 24.31/16.05 (v101(constB37) | (~v100(constB37))),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6883, 877, 6873])).
% 24.31/16.05 tff(6885,plain,
% 24.31/16.05 (~v100(constB37)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6884, 6880])).
% 24.31/16.05 tff(6886,plain,
% 24.31/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex2)))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6887,plain,
% 24.31/16.05 (((~nextState(constB36, constB37)) | v90(constB36, bitIndex2) | v100(constB37) | (~v90(constB37, bitIndex2))) <=> (v90(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex2)))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6888,plain,
% 24.31/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex2) | v100(constB37) | (~v90(constB37, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex2))))),
% 24.31/16.05 inference(monotonicity,[status(thm)],[6887])).
% 24.31/16.05 tff(6889,plain,
% 24.31/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex2) | v100(constB37) | (~v90(constB37, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex2)))),
% 24.31/16.05 inference(transitivity,[status(thm)],[6888, 6886])).
% 24.31/16.05 tff(6890,plain,
% 24.31/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex2) | v100(constB37) | (~v90(constB37, bitIndex2)))),
% 24.31/16.05 inference(quant_inst,[status(thm)],[])).
% 24.31/16.05 tff(6891,plain,
% 24.31/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex2))),
% 24.31/16.05 inference(modus_ponens,[status(thm)],[6890, 6889])).
% 24.31/16.05 tff(6892,plain,
% 24.31/16.05 (v90(constB36, bitIndex2) | v100(constB37) | (~v90(constB37, bitIndex2))),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6891, 892, 6873])).
% 24.31/16.05 tff(6893,plain,
% 24.31/16.05 (v90(constB36, bitIndex2) | (~v90(constB37, bitIndex2))),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6892, 6885])).
% 24.31/16.05 tff(6894,plain,
% 24.31/16.05 (~v90(constB37, bitIndex2)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6893, 6867])).
% 24.31/16.05 tff(6895,plain,
% 24.31/16.05 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex1)))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6896,plain,
% 24.31/16.05 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex1)))),
% 24.31/16.05 inference(quant_inst,[status(thm)],[])).
% 24.31/16.05 tff(6897,plain,
% 24.31/16.05 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex1))),
% 24.31/16.05 inference(modus_ponens,[status(thm)],[6896, 6895])).
% 24.31/16.05 tff(6898,plain,
% 24.31/16.05 (~v130(constB35, bitIndex1)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6897, 1887, 6498, 6494, 6490, 6486, 6482, 6447])).
% 24.31/16.05 tff(6899,plain,
% 24.31/16.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB35, bitIndex1)) | v26(constB35) | v130(constB35, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB35, bitIndex1)) | v26(constB35) | v130(constB35, bitIndex1))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6900,plain,
% 24.31/16.05 ((v26(constB35) | v130(constB35, bitIndex1) | (~v127(constB35, bitIndex1))) <=> ((~v127(constB35, bitIndex1)) | v26(constB35) | v130(constB35, bitIndex1))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6901,plain,
% 24.31/16.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB35) | v130(constB35, bitIndex1) | (~v127(constB35, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB35, bitIndex1)) | v26(constB35) | v130(constB35, bitIndex1)))),
% 24.31/16.05 inference(monotonicity,[status(thm)],[6900])).
% 24.31/16.05 tff(6902,plain,
% 24.31/16.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB35) | v130(constB35, bitIndex1) | (~v127(constB35, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB35, bitIndex1)) | v26(constB35) | v130(constB35, bitIndex1))),
% 24.31/16.05 inference(transitivity,[status(thm)],[6901, 6899])).
% 24.31/16.05 tff(6903,plain,
% 24.31/16.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB35) | v130(constB35, bitIndex1) | (~v127(constB35, bitIndex1)))),
% 24.31/16.05 inference(quant_inst,[status(thm)],[])).
% 24.31/16.05 tff(6904,plain,
% 24.31/16.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB35, bitIndex1)) | v26(constB35) | v130(constB35, bitIndex1)),
% 24.31/16.05 inference(modus_ponens,[status(thm)],[6903, 6902])).
% 24.31/16.05 tff(6905,plain,
% 24.31/16.05 ((~v127(constB35, bitIndex1)) | v130(constB35, bitIndex1)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6904, 1270, 6506])).
% 24.31/16.05 tff(6906,plain,
% 24.31/16.05 (~v127(constB35, bitIndex1)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6905, 6898])).
% 24.31/16.05 tff(6907,plain,
% 24.31/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB35, constB36)) | v127(constB35, bitIndex1) | (~v129(constB36, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB35, constB36)) | v127(constB35, bitIndex1) | (~v129(constB36, bitIndex1)))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6908,plain,
% 24.31/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB35, constB36)) | v127(constB35, bitIndex1) | (~v129(constB36, bitIndex1)))),
% 24.31/16.05 inference(quant_inst,[status(thm)],[])).
% 24.31/16.05 tff(6909,plain,
% 24.31/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB35, constB36)) | v127(constB35, bitIndex1) | (~v129(constB36, bitIndex1))),
% 24.31/16.05 inference(modus_ponens,[status(thm)],[6908, 6907])).
% 24.31/16.05 tff(6910,plain,
% 24.31/16.05 (v127(constB35, bitIndex1) | (~v129(constB36, bitIndex1))),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6909, 1288, 6517])).
% 24.31/16.05 tff(6911,plain,
% 24.31/16.05 (~v129(constB36, bitIndex1)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6910, 6906])).
% 24.31/16.05 tff(6912,plain,
% 24.31/16.05 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | v129(constB36, bitIndex1) | (~v100(constB36)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB36, bitIndex1)) | v129(constB36, bitIndex1) | (~v100(constB36)))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6913,plain,
% 24.31/16.05 (((~v90(constB36, bitIndex1)) | (~v100(constB36)) | v129(constB36, bitIndex1)) <=> ((~v90(constB36, bitIndex1)) | v129(constB36, bitIndex1) | (~v100(constB36)))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6914,plain,
% 24.31/16.05 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | (~v100(constB36)) | v129(constB36, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | v129(constB36, bitIndex1) | (~v100(constB36))))),
% 24.31/16.05 inference(monotonicity,[status(thm)],[6913])).
% 24.31/16.05 tff(6915,plain,
% 24.31/16.05 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | (~v100(constB36)) | v129(constB36, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB36, bitIndex1)) | v129(constB36, bitIndex1) | (~v100(constB36)))),
% 24.31/16.05 inference(transitivity,[status(thm)],[6914, 6912])).
% 24.31/16.05 tff(6916,plain,
% 24.31/16.05 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | (~v100(constB36)) | v129(constB36, bitIndex1))),
% 24.31/16.05 inference(quant_inst,[status(thm)],[])).
% 24.31/16.05 tff(6917,plain,
% 24.31/16.05 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB36, bitIndex1)) | v129(constB36, bitIndex1) | (~v100(constB36))),
% 24.31/16.05 inference(modus_ponens,[status(thm)],[6916, 6915])).
% 24.31/16.05 tff(6918,plain,
% 24.31/16.05 ((~v90(constB36, bitIndex1)) | v129(constB36, bitIndex1)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6917, 1303, 6862])).
% 24.31/16.05 tff(6919,plain,
% 24.31/16.05 (~v90(constB36, bitIndex1)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6918, 6911])).
% 24.31/16.05 tff(6920,plain,
% 24.31/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex1)))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6921,plain,
% 24.31/16.05 (((~nextState(constB36, constB37)) | v90(constB36, bitIndex1) | v100(constB37) | (~v90(constB37, bitIndex1))) <=> (v90(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex1)))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6922,plain,
% 24.31/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex1) | v100(constB37) | (~v90(constB37, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex1))))),
% 24.31/16.05 inference(monotonicity,[status(thm)],[6921])).
% 24.31/16.05 tff(6923,plain,
% 24.31/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex1) | v100(constB37) | (~v90(constB37, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex1)))),
% 24.31/16.05 inference(transitivity,[status(thm)],[6922, 6920])).
% 24.31/16.05 tff(6924,plain,
% 24.31/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex1) | v100(constB37) | (~v90(constB37, bitIndex1)))),
% 24.31/16.05 inference(quant_inst,[status(thm)],[])).
% 24.31/16.05 tff(6925,plain,
% 24.31/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex1))),
% 24.31/16.05 inference(modus_ponens,[status(thm)],[6924, 6923])).
% 24.31/16.05 tff(6926,plain,
% 24.31/16.05 (v90(constB36, bitIndex1) | v100(constB37) | (~v90(constB37, bitIndex1))),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6925, 913, 6873])).
% 24.31/16.05 tff(6927,plain,
% 24.31/16.05 (v90(constB36, bitIndex1) | (~v90(constB37, bitIndex1))),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6926, 6885])).
% 24.31/16.05 tff(6928,plain,
% 24.31/16.05 (~v90(constB37, bitIndex1)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6927, 6919])).
% 24.31/16.05 tff(6929,plain,
% 24.31/16.05 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | v130(constB35, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | v130(constB35, bitIndex0))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6930,plain,
% 24.31/16.05 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | v130(constB35, bitIndex0))),
% 24.31/16.05 inference(quant_inst,[status(thm)],[])).
% 24.31/16.05 tff(6931,plain,
% 24.31/16.05 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | v130(constB35, bitIndex0)),
% 24.31/16.05 inference(modus_ponens,[status(thm)],[6930, 6929])).
% 24.31/16.05 tff(6932,plain,
% 24.31/16.05 (v130(constB35, bitIndex0)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6931, 1931, 6498, 6494, 6490, 6486, 6482, 6447])).
% 24.31/16.05 tff(6933,plain,
% 24.31/16.05 (~v130(constB33, bitIndex0)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6821, 1617, 5800])).
% 24.31/16.05 tff(6934,plain,
% 24.31/16.05 (~v127(constB33, bitIndex0)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6805, 6933])).
% 24.31/16.05 tff(6935,plain,
% 24.31/16.05 (~v129(constB34, bitIndex0)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6797, 6934])).
% 24.31/16.05 tff(6936,plain,
% 24.31/16.05 ((~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6791, 1374, 6408])).
% 24.31/16.05 tff(6937,plain,
% 24.31/16.05 (~v90(constB34, bitIndex0)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6936, 6935])).
% 24.31/16.05 tff(6938,plain,
% 24.31/16.05 (~v90(constB35, bitIndex0)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6748, 6937])).
% 24.31/16.05 tff(6939,plain,
% 24.31/16.05 (v125(constB35)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6680, 1661, 6938, 6478, 6443])).
% 24.31/16.05 tff(6940,plain,
% 24.31/16.05 (v113(constB35)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6676, 1672, 6939])).
% 24.31/16.05 tff(6941,assumption,(~v26(constB35)), introduced(assumption)).
% 24.31/16.05 tff(6942,assumption,(v113(constB35)), introduced(assumption)).
% 24.31/16.05 tff(6943,plain,
% 24.31/16.05 (v26(constB35) | v112(constB35)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6618, 1050, 6942])).
% 24.31/16.05 tff(6944,plain,
% 24.31/16.05 (v112(constB35)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6943, 6941])).
% 24.31/16.05 tff(6945,assumption,(v130(constB35, bitIndex0)), introduced(assumption)).
% 24.31/16.05 tff(6946,plain,
% 24.31/16.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB35) | (~v130(constB35, bitIndex0)) | v127(constB35, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB35) | (~v130(constB35, bitIndex0)) | v127(constB35, bitIndex0))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6947,plain,
% 24.31/16.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB35) | (~v130(constB35, bitIndex0)) | v127(constB35, bitIndex0))),
% 24.31/16.05 inference(quant_inst,[status(thm)],[])).
% 24.31/16.05 tff(6948,plain,
% 24.31/16.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB35) | (~v130(constB35, bitIndex0)) | v127(constB35, bitIndex0)),
% 24.31/16.05 inference(modus_ponens,[status(thm)],[6947, 6946])).
% 24.31/16.05 tff(6949,plain,
% 24.31/16.05 (v26(constB35) | v127(constB35, bitIndex0)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6948, 1945, 6945])).
% 24.31/16.05 tff(6950,plain,
% 24.31/16.05 (v127(constB35, bitIndex0)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6949, 6941])).
% 24.31/16.05 tff(6951,plain,
% 24.31/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex0)) | v129(constB36, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex0)) | v129(constB36, bitIndex0))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6952,plain,
% 24.31/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex0)) | v129(constB36, bitIndex0))),
% 24.31/16.05 inference(quant_inst,[status(thm)],[])).
% 24.31/16.05 tff(6953,plain,
% 24.31/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex0)) | v129(constB36, bitIndex0)),
% 24.31/16.05 inference(modus_ponens,[status(thm)],[6952, 6951])).
% 24.31/16.05 tff(6954,plain,
% 24.31/16.05 ((~v127(constB35, bitIndex0)) | v129(constB36, bitIndex0)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6953, 1960, 6517])).
% 24.31/16.05 tff(6955,plain,
% 24.31/16.05 (v129(constB36, bitIndex0)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6954, 6950])).
% 24.31/16.05 tff(6956,plain,
% 24.31/16.05 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~v129(constB36, bitIndex0)) | (~v100(constB36)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB36, bitIndex0) | (~v129(constB36, bitIndex0)) | (~v100(constB36)))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6957,plain,
% 24.31/16.05 ((v90(constB36, bitIndex0) | (~v100(constB36)) | (~v129(constB36, bitIndex0))) <=> (v90(constB36, bitIndex0) | (~v129(constB36, bitIndex0)) | (~v100(constB36)))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6958,plain,
% 24.31/16.05 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~v100(constB36)) | (~v129(constB36, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~v129(constB36, bitIndex0)) | (~v100(constB36))))),
% 24.31/16.05 inference(monotonicity,[status(thm)],[6957])).
% 24.31/16.05 tff(6959,plain,
% 24.31/16.05 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~v100(constB36)) | (~v129(constB36, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB36, bitIndex0) | (~v129(constB36, bitIndex0)) | (~v100(constB36)))),
% 24.31/16.05 inference(transitivity,[status(thm)],[6958, 6956])).
% 24.31/16.05 tff(6960,plain,
% 24.31/16.05 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~v100(constB36)) | (~v129(constB36, bitIndex0)))),
% 24.31/16.05 inference(quant_inst,[status(thm)],[])).
% 24.31/16.05 tff(6961,plain,
% 24.31/16.05 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB36, bitIndex0) | (~v129(constB36, bitIndex0)) | (~v100(constB36))),
% 24.31/16.05 inference(modus_ponens,[status(thm)],[6960, 6959])).
% 24.31/16.05 tff(6962,plain,
% 24.31/16.05 ((~v129(constB36, bitIndex0)) | (~v100(constB36))),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6961, 1975, 6524])).
% 24.31/16.05 tff(6963,plain,
% 24.31/16.05 (~v100(constB36)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6962, 6955])).
% 24.31/16.05 tff(6964,plain,
% 24.31/16.05 (~v110(constB36)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6599, 6963])).
% 24.31/16.05 tff(6965,plain,
% 24.31/16.05 (~v108(constB35)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6607, 6964])).
% 24.31/16.05 tff(6966,plain,
% 24.31/16.05 ($false),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6614, 1062, 6965, 6944])).
% 24.31/16.05 tff(6967,plain,(v26(constB35) | v90(constB36, bitIndex0) | (~v130(constB35, bitIndex0)) | (~v113(constB35))), inference(lemma,lemma(discharge,[]))).
% 24.31/16.05 tff(6968,plain,
% 24.31/16.05 (v90(constB36, bitIndex0) | (~v130(constB35, bitIndex0)) | (~v113(constB35))),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6967, 6506])).
% 24.31/16.05 tff(6969,plain,
% 24.31/16.05 (v90(constB36, bitIndex0)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6968, 6940, 6932])).
% 24.31/16.05 tff(6970,plain,
% 24.31/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex0))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6971,plain,
% 24.31/16.05 (((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex0)) | v100(constB37) | v90(constB37, bitIndex0)) <=> ((~v90(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex0))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6972,plain,
% 24.31/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex0)) | v100(constB37) | v90(constB37, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex0)))),
% 24.31/16.05 inference(monotonicity,[status(thm)],[6971])).
% 24.31/16.05 tff(6973,plain,
% 24.31/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex0)) | v100(constB37) | v90(constB37, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex0))),
% 24.31/16.05 inference(transitivity,[status(thm)],[6972, 6970])).
% 24.31/16.05 tff(6974,plain,
% 24.31/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex0)) | v100(constB37) | v90(constB37, bitIndex0))),
% 24.31/16.05 inference(quant_inst,[status(thm)],[])).
% 24.31/16.05 tff(6975,plain,
% 24.31/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex0)),
% 24.31/16.05 inference(modus_ponens,[status(thm)],[6974, 6973])).
% 24.31/16.05 tff(6976,plain,
% 24.31/16.05 ((~v90(constB36, bitIndex0)) | v100(constB37) | v90(constB37, bitIndex0)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6975, 1993, 6873])).
% 24.31/16.05 tff(6977,plain,
% 24.31/16.05 ((~v90(constB36, bitIndex0)) | v90(constB37, bitIndex0)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6976, 6885])).
% 24.31/16.05 tff(6978,plain,
% 24.31/16.05 (v90(constB37, bitIndex0)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6977, 6969])).
% 24.31/16.05 tff(6979,plain,
% 24.31/16.05 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v120(constB37))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v120(constB37))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6980,plain,
% 24.31/16.05 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v120(constB37))),
% 24.31/16.05 inference(quant_inst,[status(thm)],[])).
% 24.31/16.05 tff(6981,plain,
% 24.31/16.05 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v120(constB37)),
% 24.31/16.05 inference(modus_ponens,[status(thm)],[6980, 6979])).
% 24.31/16.05 tff(6982,plain,
% 24.31/16.05 (v120(constB37)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6981, 2012, 6978, 6928, 6894])).
% 24.31/16.05 tff(6983,plain,
% 24.31/16.05 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB37)) | v118(constB37))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB37)) | v118(constB37))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6984,plain,
% 24.31/16.05 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB37)) | v118(constB37))),
% 24.31/16.05 inference(quant_inst,[status(thm)],[])).
% 24.31/16.05 tff(6985,plain,
% 24.31/16.05 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB37)) | v118(constB37)),
% 24.31/16.05 inference(modus_ponens,[status(thm)],[6984, 6983])).
% 24.31/16.05 tff(6986,plain,
% 24.31/16.05 (v118(constB37)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6985, 2210, 6982])).
% 24.31/16.05 tff(6987,plain,
% 24.31/16.05 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB37) | (~v118(constB37)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB37) | (~v118(constB37)))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6988,plain,
% 24.31/16.05 (((~v118(constB37)) | v117(constB37)) <=> (v117(constB37) | (~v118(constB37)))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.05 tff(6989,plain,
% 24.31/16.05 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB37)) | v117(constB37))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB37) | (~v118(constB37))))),
% 24.31/16.05 inference(monotonicity,[status(thm)],[6988])).
% 24.31/16.05 tff(6990,plain,
% 24.31/16.05 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB37)) | v117(constB37))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB37) | (~v118(constB37)))),
% 24.31/16.05 inference(transitivity,[status(thm)],[6989, 6987])).
% 24.31/16.05 tff(6991,plain,
% 24.31/16.05 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB37)) | v117(constB37))),
% 24.31/16.05 inference(quant_inst,[status(thm)],[])).
% 24.31/16.05 tff(6992,plain,
% 24.31/16.05 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB37) | (~v118(constB37))),
% 24.31/16.05 inference(modus_ponens,[status(thm)],[6991, 6990])).
% 24.31/16.05 tff(6993,plain,
% 24.31/16.05 (v117(constB37)),
% 24.31/16.05 inference(unit_resolution,[status(thm)],[6992, 980, 6986])).
% 24.31/16.05 tff(6994,plain,
% 24.31/16.05 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB37) | (~v117(constB37)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB37) | (~v117(constB37)))),
% 24.31/16.05 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(6995,plain,
% 24.31/16.06 (((~v117(constB37)) | v116(constB37)) <=> (v116(constB37) | (~v117(constB37)))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(6996,plain,
% 24.31/16.06 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB37)) | v116(constB37))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB37) | (~v117(constB37))))),
% 24.31/16.06 inference(monotonicity,[status(thm)],[6995])).
% 24.31/16.06 tff(6997,plain,
% 24.31/16.06 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB37)) | v116(constB37))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB37) | (~v117(constB37)))),
% 24.31/16.06 inference(transitivity,[status(thm)],[6996, 6994])).
% 24.31/16.06 tff(6998,plain,
% 24.31/16.06 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB37)) | v116(constB37))),
% 24.31/16.06 inference(quant_inst,[status(thm)],[])).
% 24.31/16.06 tff(6999,plain,
% 24.31/16.06 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB37) | (~v117(constB37))),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[6998, 6997])).
% 24.31/16.06 tff(7000,plain,
% 24.31/16.06 (v116(constB37)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[6999, 994, 6993])).
% 24.31/16.06 tff(7001,plain,
% 24.31/16.06 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB37) | (~v116(constB37)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB37) | (~v116(constB37)))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7002,plain,
% 24.31/16.06 (((~v116(constB37)) | v115(constB37)) <=> (v115(constB37) | (~v116(constB37)))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7003,plain,
% 24.31/16.06 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB37)) | v115(constB37))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB37) | (~v116(constB37))))),
% 24.31/16.06 inference(monotonicity,[status(thm)],[7002])).
% 24.31/16.06 tff(7004,plain,
% 24.31/16.06 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB37)) | v115(constB37))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB37) | (~v116(constB37)))),
% 24.31/16.06 inference(transitivity,[status(thm)],[7003, 7001])).
% 24.31/16.06 tff(7005,plain,
% 24.31/16.06 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB37)) | v115(constB37))),
% 24.31/16.06 inference(quant_inst,[status(thm)],[])).
% 24.31/16.06 tff(7006,plain,
% 24.31/16.06 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB37) | (~v116(constB37))),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[7005, 7004])).
% 24.31/16.06 tff(7007,plain,
% 24.31/16.06 (v115(constB37)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7006, 1008, 7000])).
% 24.31/16.06 tff(7008,plain,
% 24.31/16.06 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB37) | (~v115(constB37)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB37) | (~v115(constB37)))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7009,plain,
% 24.31/16.06 (((~v115(constB37)) | v114(constB37)) <=> (v114(constB37) | (~v115(constB37)))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7010,plain,
% 24.31/16.06 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB37)) | v114(constB37))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB37) | (~v115(constB37))))),
% 24.31/16.06 inference(monotonicity,[status(thm)],[7009])).
% 24.31/16.06 tff(7011,plain,
% 24.31/16.06 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB37)) | v114(constB37))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB37) | (~v115(constB37)))),
% 24.31/16.06 inference(transitivity,[status(thm)],[7010, 7008])).
% 24.31/16.06 tff(7012,plain,
% 24.31/16.06 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB37)) | v114(constB37))),
% 24.31/16.06 inference(quant_inst,[status(thm)],[])).
% 24.31/16.06 tff(7013,plain,
% 24.31/16.06 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB37) | (~v115(constB37))),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[7012, 7011])).
% 24.31/16.06 tff(7014,plain,
% 24.31/16.06 (v114(constB37)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7013, 1022, 7007])).
% 24.31/16.06 tff(7015,plain,
% 24.31/16.06 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB37)) | v113(constB37))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB37)) | v113(constB37))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7016,plain,
% 24.31/16.06 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB37)) | v113(constB37))),
% 24.31/16.06 inference(quant_inst,[status(thm)],[])).
% 24.31/16.06 tff(7017,plain,
% 24.31/16.06 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB37)) | v113(constB37)),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[7016, 7015])).
% 24.31/16.06 tff(7018,plain,
% 24.31/16.06 (v113(constB37)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7017, 1036, 7014])).
% 24.31/16.06 tff(7019,assumption,(v26(constB37)), introduced(assumption)).
% 24.31/16.06 tff(7020,plain,
% 24.31/16.06 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB37))),
% 24.31/16.06 inference(quant_inst,[status(thm)],[])).
% 24.31/16.06 tff(7021,plain,
% 24.31/16.06 ($false),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7020, 797, 7019])).
% 24.31/16.06 tff(7022,plain,(~v26(constB37)), inference(lemma,lemma(discharge,[]))).
% 24.31/16.06 tff(7023,plain,
% 24.31/16.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | (~v113(constB37)) | v112(constB37))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7024,plain,
% 24.31/16.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))),
% 24.31/16.06 inference(quant_inst,[status(thm)],[])).
% 24.31/16.06 tff(7025,plain,
% 24.31/16.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | (~v113(constB37)) | v112(constB37)),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[7024, 7023])).
% 24.31/16.06 tff(7026,plain,
% 24.31/16.06 ((~v113(constB37)) | v112(constB37)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7025, 1050, 7022])).
% 24.31/16.06 tff(7027,plain,
% 24.31/16.06 (v112(constB37)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7026, 7018])).
% 24.31/16.06 tff(7028,plain,
% 24.31/16.06 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB37) | (~v112(constB37)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v112(constB37)))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7029,plain,
% 24.31/16.06 (((~v112(constB37)) | v108(constB37)) <=> (v108(constB37) | (~v112(constB37)))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7030,plain,
% 24.31/16.06 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB37)) | v108(constB37))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB37) | (~v112(constB37))))),
% 24.31/16.06 inference(monotonicity,[status(thm)],[7029])).
% 24.31/16.06 tff(7031,plain,
% 24.31/16.06 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB37)) | v108(constB37))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v112(constB37)))),
% 24.31/16.06 inference(transitivity,[status(thm)],[7030, 7028])).
% 24.31/16.06 tff(7032,plain,
% 24.31/16.06 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB37)) | v108(constB37))),
% 24.31/16.06 inference(quant_inst,[status(thm)],[])).
% 24.31/16.06 tff(7033,plain,
% 24.31/16.06 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v112(constB37))),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[7032, 7031])).
% 24.31/16.06 tff(7034,plain,
% 24.31/16.06 (v108(constB37)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7033, 1062, 7027])).
% 24.31/16.06 tff(7035,plain,
% 24.31/16.06 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7036,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_37_1')).
% 24.31/16.06 tff(7037,plain,
% 24.31/16.06 (nextState(constB37, constB38)),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[7036, 7035])).
% 24.31/16.06 tff(7038,plain,
% 24.31/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7039,plain,
% 24.31/16.06 (((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38)) <=> ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7040,plain,
% 24.31/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37))))),
% 24.31/16.06 inference(monotonicity,[status(thm)],[7039])).
% 24.31/16.06 tff(7041,plain,
% 24.31/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 24.31/16.06 inference(transitivity,[status(thm)],[7040, 7038])).
% 24.31/16.06 tff(7042,plain,
% 24.31/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))),
% 24.31/16.06 inference(quant_inst,[status(thm)],[])).
% 24.31/16.06 tff(7043,plain,
% 24.31/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37))),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[7042, 7041])).
% 24.31/16.06 tff(7044,plain,
% 24.31/16.06 (v110(constB38) | (~v108(constB37))),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7043, 1082, 7037])).
% 24.31/16.06 tff(7045,plain,
% 24.31/16.06 (v110(constB38)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7044, 7034])).
% 24.31/16.06 tff(7046,plain,
% 24.31/16.06 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7047,plain,
% 24.31/16.06 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))),
% 24.31/16.06 inference(quant_inst,[status(thm)],[])).
% 24.31/16.06 tff(7048,plain,
% 24.31/16.06 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38))),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[7047, 7046])).
% 24.31/16.06 tff(7049,plain,
% 24.31/16.06 (~v104(constB38)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7048, 1100, 7037, 6870])).
% 24.31/16.06 tff(7050,plain,
% 24.31/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7051,plain,
% 24.31/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))),
% 24.31/16.06 inference(quant_inst,[status(thm)],[])).
% 24.31/16.06 tff(7052,plain,
% 24.31/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v102(constB38) | v104(constB38)),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[7051, 7050])).
% 24.31/16.06 tff(7053,plain,
% 24.31/16.06 (v102(constB38) | v104(constB38)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7052, 1114, 7037])).
% 24.31/16.06 tff(7054,plain,
% 24.31/16.06 (v102(constB38)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7053, 7049])).
% 24.31/16.06 tff(7055,plain,
% 24.31/16.06 (v1(constB38) <=> v1(constB38)),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7056,axiom,(v1(constB38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_38_1')).
% 24.31/16.06 tff(7057,plain,
% 24.31/16.06 (v1(constB38)),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[7056, 7055])).
% 24.31/16.06 tff(7058,plain,
% 24.31/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7059,plain,
% 24.31/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))),
% 24.31/16.06 inference(quant_inst,[status(thm)],[])).
% 24.31/16.06 tff(7060,plain,
% 24.31/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38))),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[7059, 7058])).
% 24.31/16.06 tff(7061,plain,
% 24.31/16.06 (v101(constB38) | (~v102(constB38))),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7060, 1129, 7037, 7057])).
% 24.31/16.06 tff(7062,plain,
% 24.31/16.06 (v101(constB38)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7061, 7054])).
% 24.31/16.06 tff(7063,plain,
% 24.31/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7064,plain,
% 24.31/16.06 (((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38)) <=> ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7065,plain,
% 24.31/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38))))),
% 24.31/16.06 inference(monotonicity,[status(thm)],[7064])).
% 24.31/16.06 tff(7066,plain,
% 24.31/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 24.31/16.06 inference(transitivity,[status(thm)],[7065, 7063])).
% 24.31/16.06 tff(7067,plain,
% 24.31/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))),
% 24.31/16.06 inference(quant_inst,[status(thm)],[])).
% 24.31/16.06 tff(7068,plain,
% 24.31/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[7067, 7066])).
% 24.31/16.06 tff(7069,plain,
% 24.31/16.06 (v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7068, 1144, 7037])).
% 24.31/16.06 tff(7070,plain,
% 24.31/16.06 (v100(constB38) | (~v110(constB38))),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7069, 7062])).
% 24.31/16.06 tff(7071,plain,
% 24.31/16.06 (v100(constB38)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7070, 7045])).
% 24.31/16.06 tff(7072,plain,
% 24.31/16.06 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB37)) | (~v130(constB37, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB37)) | (~v130(constB37, bitIndex0)))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7073,plain,
% 24.31/16.06 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB37)) | (~v130(constB37, bitIndex0)))),
% 24.31/16.06 inference(quant_inst,[status(thm)],[])).
% 24.31/16.06 tff(7074,plain,
% 24.31/16.06 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB37)) | (~v130(constB37, bitIndex0))),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[7073, 7072])).
% 24.31/16.06 tff(7075,plain,
% 24.31/16.06 (~v130(constB37, bitIndex0)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7074, 2023, 6982])).
% 24.31/16.06 tff(7076,assumption,(v127(constB37, bitIndex0)), introduced(assumption)).
% 24.31/16.06 tff(7077,assumption,(~v130(constB37, bitIndex0)), introduced(assumption)).
% 24.31/16.06 tff(7078,plain,
% 24.31/16.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB37, bitIndex0)) | v26(constB37) | v130(constB37, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB37, bitIndex0)) | v26(constB37) | v130(constB37, bitIndex0))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7079,plain,
% 24.31/16.06 ((v26(constB37) | v130(constB37, bitIndex0) | (~v127(constB37, bitIndex0))) <=> ((~v127(constB37, bitIndex0)) | v26(constB37) | v130(constB37, bitIndex0))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7080,plain,
% 24.31/16.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB37) | v130(constB37, bitIndex0) | (~v127(constB37, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB37, bitIndex0)) | v26(constB37) | v130(constB37, bitIndex0)))),
% 24.31/16.06 inference(monotonicity,[status(thm)],[7079])).
% 24.31/16.06 tff(7081,plain,
% 24.31/16.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB37) | v130(constB37, bitIndex0) | (~v127(constB37, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB37, bitIndex0)) | v26(constB37) | v130(constB37, bitIndex0))),
% 24.31/16.06 inference(transitivity,[status(thm)],[7080, 7078])).
% 24.31/16.06 tff(7082,plain,
% 24.31/16.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB37) | v130(constB37, bitIndex0) | (~v127(constB37, bitIndex0)))),
% 24.31/16.06 inference(quant_inst,[status(thm)],[])).
% 24.31/16.06 tff(7083,plain,
% 24.31/16.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB37, bitIndex0)) | v26(constB37) | v130(constB37, bitIndex0)),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[7082, 7081])).
% 24.31/16.06 tff(7084,plain,
% 24.31/16.06 ((~v127(constB37, bitIndex0)) | v26(constB37)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7083, 1341, 7077])).
% 24.31/16.06 tff(7085,plain,
% 24.31/16.06 (v26(constB37)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7084, 7076])).
% 24.31/16.06 tff(7086,plain,
% 24.31/16.06 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB37)) | (~v127(constB37, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB37)) | (~v127(constB37, bitIndex0)))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7087,plain,
% 24.31/16.06 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB37)) | (~v127(constB37, bitIndex0)))),
% 24.31/16.06 inference(quant_inst,[status(thm)],[])).
% 24.31/16.06 tff(7088,plain,
% 24.31/16.06 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB37)) | (~v127(constB37, bitIndex0))),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[7087, 7086])).
% 24.31/16.06 tff(7089,plain,
% 24.31/16.06 ($false),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7088, 2189, 7076, 7085])).
% 24.31/16.06 tff(7090,plain,((~v127(constB37, bitIndex0)) | v130(constB37, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 24.31/16.06 tff(7091,plain,
% 24.31/16.06 (~v127(constB37, bitIndex0)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7090, 7075])).
% 24.31/16.06 tff(7092,plain,
% 24.31/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex0) | (~v129(constB38, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex0) | (~v129(constB38, bitIndex0)))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7093,plain,
% 24.31/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex0) | (~v129(constB38, bitIndex0)))),
% 24.31/16.06 inference(quant_inst,[status(thm)],[])).
% 24.31/16.06 tff(7094,plain,
% 24.31/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex0) | (~v129(constB38, bitIndex0))),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[7093, 7092])).
% 24.31/16.06 tff(7095,plain,
% 24.31/16.06 (v127(constB37, bitIndex0) | (~v129(constB38, bitIndex0))),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7094, 1359, 7037])).
% 24.31/16.06 tff(7096,plain,
% 24.31/16.06 (~v129(constB38, bitIndex0)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7095, 7091])).
% 24.31/16.06 tff(7097,plain,
% 24.31/16.06 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB38, bitIndex0)) | v129(constB38, bitIndex0) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB38, bitIndex0)) | v129(constB38, bitIndex0) | (~v100(constB38)))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7098,plain,
% 24.31/16.06 (((~v90(constB38, bitIndex0)) | (~v100(constB38)) | v129(constB38, bitIndex0)) <=> ((~v90(constB38, bitIndex0)) | v129(constB38, bitIndex0) | (~v100(constB38)))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7099,plain,
% 24.31/16.06 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB38, bitIndex0)) | (~v100(constB38)) | v129(constB38, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB38, bitIndex0)) | v129(constB38, bitIndex0) | (~v100(constB38))))),
% 24.31/16.06 inference(monotonicity,[status(thm)],[7098])).
% 24.31/16.06 tff(7100,plain,
% 24.31/16.06 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB38, bitIndex0)) | (~v100(constB38)) | v129(constB38, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB38, bitIndex0)) | v129(constB38, bitIndex0) | (~v100(constB38)))),
% 24.31/16.06 inference(transitivity,[status(thm)],[7099, 7097])).
% 24.31/16.06 tff(7101,plain,
% 24.31/16.06 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB38, bitIndex0)) | (~v100(constB38)) | v129(constB38, bitIndex0))),
% 24.31/16.06 inference(quant_inst,[status(thm)],[])).
% 24.31/16.06 tff(7102,plain,
% 24.31/16.06 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB38, bitIndex0)) | v129(constB38, bitIndex0) | (~v100(constB38))),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[7101, 7100])).
% 24.31/16.06 tff(7103,plain,
% 24.31/16.06 ((~v90(constB38, bitIndex0)) | (~v100(constB38))),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7102, 1374, 7096])).
% 24.31/16.06 tff(7104,plain,
% 24.31/16.06 (~v90(constB38, bitIndex0)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7103, 7071])).
% 24.31/16.06 tff(7105,plain,
% 24.31/16.06 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB37)) | (~v130(constB37, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB37)) | (~v130(constB37, bitIndex2)))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7106,plain,
% 24.31/16.06 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB37)) | (~v130(constB37, bitIndex2)))),
% 24.31/16.06 inference(quant_inst,[status(thm)],[])).
% 24.31/16.06 tff(7107,plain,
% 24.31/16.06 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB37)) | (~v130(constB37, bitIndex2))),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[7106, 7105])).
% 24.31/16.06 tff(7108,plain,
% 24.31/16.06 (~v130(constB37, bitIndex2)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7107, 2231, 6982])).
% 24.31/16.06 tff(7109,plain,
% 24.31/16.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7110,plain,
% 24.31/16.06 ((v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2))) <=> ((~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7111,plain,
% 24.31/16.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2)))),
% 24.31/16.06 inference(monotonicity,[status(thm)],[7110])).
% 24.31/16.06 tff(7112,plain,
% 24.31/16.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))),
% 24.31/16.06 inference(transitivity,[status(thm)],[7111, 7109])).
% 24.31/16.06 tff(7113,plain,
% 24.31/16.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2)))),
% 24.31/16.06 inference(quant_inst,[status(thm)],[])).
% 24.31/16.06 tff(7114,plain,
% 24.31/16.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2)),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[7113, 7112])).
% 24.31/16.06 tff(7115,plain,
% 24.31/16.06 ((~v127(constB37, bitIndex2)) | v130(constB37, bitIndex2)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7114, 1812, 7022])).
% 24.31/16.06 tff(7116,plain,
% 24.31/16.06 (~v127(constB37, bitIndex2)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7115, 7108])).
% 24.31/16.06 tff(7117,plain,
% 24.31/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2)))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7118,plain,
% 24.31/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2)))),
% 24.31/16.06 inference(quant_inst,[status(thm)],[])).
% 24.31/16.06 tff(7119,plain,
% 24.31/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2))),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[7118, 7117])).
% 24.31/16.06 tff(7120,plain,
% 24.31/16.06 (v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2))),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7119, 1830, 7037])).
% 24.31/16.06 tff(7121,plain,
% 24.31/16.06 (~v129(constB38, bitIndex2)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7120, 7116])).
% 24.31/16.06 tff(7122,plain,
% 24.31/16.06 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7123,plain,
% 24.31/16.06 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))),
% 24.31/16.06 inference(quant_inst,[status(thm)],[])).
% 24.31/16.06 tff(7124,plain,
% 24.31/16.06 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38))),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[7123, 7122])).
% 24.31/16.06 tff(7125,plain,
% 24.31/16.06 ((~v90(constB38, bitIndex2)) | (~v100(constB38))),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7124, 1845, 7121])).
% 24.31/16.06 tff(7126,plain,
% 24.31/16.06 (~v90(constB38, bitIndex2)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7125, 7071])).
% 24.31/16.06 tff(7127,assumption,(~v90(constB38, bitIndex0)), introduced(assumption)).
% 24.31/16.06 tff(7128,assumption,(~v121(constB39)), introduced(assumption)).
% 24.31/16.06 tff(7129,assumption,(~v100(constB38)), introduced(assumption)).
% 24.31/16.06 tff(7130,plain,
% 24.31/16.06 ((~v1(constB39)) <=> (~v1(constB39))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7131,axiom,(~v1(constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_39_1_1')).
% 24.31/16.06 tff(7132,plain,
% 24.31/16.06 (~v1(constB39)),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[7131, 7130])).
% 24.31/16.06 tff(7133,plain,
% 24.31/16.06 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7134,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_38_1')).
% 24.31/16.06 tff(7135,plain,
% 24.31/16.06 (nextState(constB38, constB39)),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[7134, 7133])).
% 24.31/16.06 tff(7136,plain,
% 24.31/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7137,plain,
% 24.31/16.06 (((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39)) <=> (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7138,plain,
% 24.31/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39))))),
% 24.31/16.06 inference(monotonicity,[status(thm)],[7137])).
% 24.31/16.06 tff(7139,plain,
% 24.31/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 24.31/16.06 inference(transitivity,[status(thm)],[7138, 7136])).
% 24.31/16.06 tff(7140,plain,
% 24.31/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))),
% 24.31/16.06 inference(quant_inst,[status(thm)],[])).
% 24.31/16.06 tff(7141,plain,
% 24.31/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39))),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[7140, 7139])).
% 24.31/16.06 tff(7142,plain,
% 24.31/16.06 (~v101(constB39)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7141, 860, 7135, 7132])).
% 24.31/16.06 tff(7143,plain,
% 24.31/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7144,plain,
% 24.31/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))),
% 24.31/16.06 inference(quant_inst,[status(thm)],[])).
% 24.31/16.06 tff(7145,plain,
% 24.31/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39))),
% 24.31/16.06 inference(modus_ponens,[status(thm)],[7144, 7143])).
% 24.31/16.06 tff(7146,plain,
% 24.31/16.06 (v101(constB39) | (~v100(constB39))),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7145, 877, 7135])).
% 24.31/16.06 tff(7147,plain,
% 24.31/16.06 (~v100(constB39)),
% 24.31/16.06 inference(unit_resolution,[status(thm)],[7146, 7142])).
% 24.31/16.06 tff(7148,plain,
% 24.31/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex0)))),
% 24.31/16.06 inference(rewrite,[status(thm)],[])).
% 24.31/16.06 tff(7149,plain,
% 24.31/16.06 (((~nextState(constB38, constB39)) | v90(constB38, bitIndex0) | v100(constB39) | (~v90(constB39, bitIndex0))) <=> (v90(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex0)))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7150,plain,
% 24.31/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex0) | v100(constB39) | (~v90(constB39, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex0))))),
% 24.31/16.07 inference(monotonicity,[status(thm)],[7149])).
% 24.31/16.07 tff(7151,plain,
% 24.31/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex0) | v100(constB39) | (~v90(constB39, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex0)))),
% 24.31/16.07 inference(transitivity,[status(thm)],[7150, 7148])).
% 24.31/16.07 tff(7152,plain,
% 24.31/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex0) | v100(constB39) | (~v90(constB39, bitIndex0)))),
% 24.31/16.07 inference(quant_inst,[status(thm)],[])).
% 24.31/16.07 tff(7153,plain,
% 24.31/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex0))),
% 24.31/16.07 inference(modus_ponens,[status(thm)],[7152, 7151])).
% 24.31/16.07 tff(7154,plain,
% 24.31/16.07 (v90(constB38, bitIndex0) | v100(constB39) | (~v90(constB39, bitIndex0))),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7153, 934, 7135])).
% 24.31/16.07 tff(7155,plain,
% 24.31/16.07 (v90(constB38, bitIndex0) | (~v90(constB39, bitIndex0))),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7154, 7147])).
% 24.31/16.07 tff(7156,plain,
% 24.31/16.07 (~v90(constB39, bitIndex0)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7155, 7127])).
% 24.31/16.07 tff(7157,plain,
% 24.31/16.07 (~v110(constB38)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7070, 7129])).
% 24.31/16.07 tff(7158,plain,
% 24.31/16.07 (~v108(constB37)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7044, 7157])).
% 24.31/16.07 tff(7159,plain,
% 24.31/16.07 (~v112(constB37)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7033, 1062, 7158])).
% 24.31/16.07 tff(7160,plain,
% 24.31/16.07 (~v113(constB37)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7026, 7159])).
% 24.31/16.07 tff(7161,plain,
% 24.31/16.07 (~v114(constB37)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7017, 1036, 7160])).
% 24.31/16.07 tff(7162,assumption,(~v90(constB38, bitIndex1)), introduced(assumption)).
% 24.31/16.07 tff(7163,assumption,(~v90(constB38, bitIndex2)), introduced(assumption)).
% 24.31/16.07 tff(7164,assumption,(v100(constB38)), introduced(assumption)).
% 24.31/16.07 tff(7165,plain,
% 24.31/16.07 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38)))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7166,plain,
% 24.31/16.07 ((v90(constB38, bitIndex0) | (~v100(constB38)) | (~v129(constB38, bitIndex0))) <=> (v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38)))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7167,plain,
% 24.31/16.07 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v100(constB38)) | (~v129(constB38, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38))))),
% 24.31/16.07 inference(monotonicity,[status(thm)],[7166])).
% 24.31/16.07 tff(7168,plain,
% 24.31/16.07 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v100(constB38)) | (~v129(constB38, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38)))),
% 24.31/16.07 inference(transitivity,[status(thm)],[7167, 7165])).
% 24.31/16.07 tff(7169,plain,
% 24.31/16.07 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v100(constB38)) | (~v129(constB38, bitIndex0)))),
% 24.31/16.07 inference(quant_inst,[status(thm)],[])).
% 24.31/16.07 tff(7170,plain,
% 24.31/16.07 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38))),
% 24.31/16.07 inference(modus_ponens,[status(thm)],[7169, 7168])).
% 24.31/16.07 tff(7171,plain,
% 24.31/16.07 ((~v129(constB38, bitIndex0)) | (~v100(constB38))),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7170, 1975, 7127])).
% 24.31/16.07 tff(7172,plain,
% 24.31/16.07 (~v129(constB38, bitIndex0)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7171, 7164])).
% 24.31/16.07 tff(7173,plain,
% 24.31/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB37, constB38)) | (~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB37, constB38)) | (~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7174,plain,
% 24.31/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB37, constB38)) | (~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0))),
% 24.31/16.07 inference(quant_inst,[status(thm)],[])).
% 24.31/16.07 tff(7175,plain,
% 24.31/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB37, constB38)) | (~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0)),
% 24.31/16.07 inference(modus_ponens,[status(thm)],[7174, 7173])).
% 24.31/16.07 tff(7176,plain,
% 24.31/16.07 ((~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7175, 1960, 7037])).
% 24.31/16.07 tff(7177,plain,
% 24.31/16.07 (~v127(constB37, bitIndex0)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7176, 7172])).
% 24.31/16.07 tff(7178,plain,
% 24.31/16.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB37) | (~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB37) | (~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7179,plain,
% 24.31/16.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB37) | (~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0))),
% 24.31/16.07 inference(quant_inst,[status(thm)],[])).
% 24.31/16.07 tff(7180,plain,
% 24.31/16.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB37) | (~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0)),
% 24.31/16.07 inference(modus_ponens,[status(thm)],[7179, 7178])).
% 24.31/16.07 tff(7181,plain,
% 24.31/16.07 ((~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7180, 1945, 7022])).
% 24.31/16.07 tff(7182,plain,
% 24.31/16.07 (~v130(constB37, bitIndex0)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7181, 7177])).
% 24.31/16.07 tff(7183,plain,
% 24.31/16.07 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 24.31/16.07 inference(bind,[status(th)],[])).
% 24.31/16.07 tff(7184,plain,
% 24.31/16.07 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))),
% 24.31/16.07 inference(quant_intro,[status(thm)],[7183])).
% 24.31/16.07 tff(7185,plain,
% 24.31/16.07 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7186,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_1')).
% 24.31/16.07 tff(7187,plain,
% 24.31/16.07 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))),
% 24.31/16.07 inference(modus_ponens,[status(thm)],[7186, 7185])).
% 24.31/16.07 tff(7188,plain,(
% 24.31/16.07 ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))),
% 24.31/16.07 inference(skolemize,[status(sab)],[7187])).
% 24.31/16.07 tff(7189,plain,
% 24.31/16.07 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))),
% 24.31/16.07 inference(modus_ponens,[status(thm)],[7188, 7184])).
% 24.31/16.07 tff(7190,plain,
% 24.31/16.07 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB37)) | v130(constB37, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB37)) | v130(constB37, bitIndex0))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7191,plain,
% 24.31/16.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB37)) | v130(constB37, bitIndex0))),
% 24.31/16.07 inference(quant_inst,[status(thm)],[])).
% 24.31/16.07 tff(7192,plain,
% 24.31/16.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB37)) | v130(constB37, bitIndex0)),
% 24.31/16.07 inference(modus_ponens,[status(thm)],[7191, 7190])).
% 24.31/16.07 tff(7193,plain,
% 24.31/16.07 (~v124(constB37)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7192, 7189, 7182])).
% 24.31/16.07 tff(7194,plain,
% 24.31/16.07 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~v129(constB38, bitIndex1)) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~v129(constB38, bitIndex1)) | (~v100(constB38)))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7195,plain,
% 24.31/16.07 ((v90(constB38, bitIndex1) | (~v100(constB38)) | (~v129(constB38, bitIndex1))) <=> (v90(constB38, bitIndex1) | (~v129(constB38, bitIndex1)) | (~v100(constB38)))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7196,plain,
% 24.31/16.07 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~v100(constB38)) | (~v129(constB38, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~v129(constB38, bitIndex1)) | (~v100(constB38))))),
% 24.31/16.07 inference(monotonicity,[status(thm)],[7195])).
% 24.31/16.07 tff(7197,plain,
% 24.31/16.07 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~v100(constB38)) | (~v129(constB38, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~v129(constB38, bitIndex1)) | (~v100(constB38)))),
% 24.31/16.07 inference(transitivity,[status(thm)],[7196, 7194])).
% 24.31/16.07 tff(7198,plain,
% 24.31/16.07 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~v100(constB38)) | (~v129(constB38, bitIndex1)))),
% 24.31/16.07 inference(quant_inst,[status(thm)],[])).
% 24.31/16.07 tff(7199,plain,
% 24.31/16.07 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~v129(constB38, bitIndex1)) | (~v100(constB38))),
% 24.31/16.07 inference(modus_ponens,[status(thm)],[7198, 7197])).
% 24.31/16.07 tff(7200,plain,
% 24.31/16.07 ((~v129(constB38, bitIndex1)) | (~v100(constB38))),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7199, 1583, 7162])).
% 24.31/16.07 tff(7201,plain,
% 24.31/16.07 (~v129(constB38, bitIndex1)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7200, 7164])).
% 24.31/16.07 tff(7202,plain,
% 24.31/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB37, constB38)) | (~v127(constB37, bitIndex1)) | v129(constB38, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB37, constB38)) | (~v127(constB37, bitIndex1)) | v129(constB38, bitIndex1))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7203,plain,
% 24.31/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB37, constB38)) | (~v127(constB37, bitIndex1)) | v129(constB38, bitIndex1))),
% 24.31/16.07 inference(quant_inst,[status(thm)],[])).
% 24.31/16.07 tff(7204,plain,
% 24.31/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB37, constB38)) | (~v127(constB37, bitIndex1)) | v129(constB38, bitIndex1)),
% 24.31/16.07 inference(modus_ponens,[status(thm)],[7203, 7202])).
% 24.31/16.07 tff(7205,plain,
% 24.31/16.07 ((~v127(constB37, bitIndex1)) | v129(constB38, bitIndex1)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7204, 1568, 7037])).
% 24.31/16.07 tff(7206,plain,
% 24.31/16.07 (~v127(constB37, bitIndex1)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7205, 7201])).
% 24.31/16.07 tff(7207,plain,
% 24.31/16.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB37) | (~v130(constB37, bitIndex1)) | v127(constB37, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB37) | (~v130(constB37, bitIndex1)) | v127(constB37, bitIndex1))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7208,plain,
% 24.31/16.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB37) | (~v130(constB37, bitIndex1)) | v127(constB37, bitIndex1))),
% 24.31/16.07 inference(quant_inst,[status(thm)],[])).
% 24.31/16.07 tff(7209,plain,
% 24.31/16.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB37) | (~v130(constB37, bitIndex1)) | v127(constB37, bitIndex1)),
% 24.31/16.07 inference(modus_ponens,[status(thm)],[7208, 7207])).
% 24.31/16.07 tff(7210,plain,
% 24.31/16.07 ((~v130(constB37, bitIndex1)) | v127(constB37, bitIndex1)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7209, 1553, 7022])).
% 24.31/16.07 tff(7211,plain,
% 24.31/16.07 (~v130(constB37, bitIndex1)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7210, 7206])).
% 24.31/16.07 tff(7212,plain,
% 24.31/16.07 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB37)) | v130(constB37, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB37)) | v130(constB37, bitIndex1))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7213,plain,
% 24.31/16.07 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB37)) | v130(constB37, bitIndex1))),
% 24.31/16.07 inference(quant_inst,[status(thm)],[])).
% 24.31/16.07 tff(7214,plain,
% 24.31/16.07 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB37)) | v130(constB37, bitIndex1)),
% 24.31/16.07 inference(modus_ponens,[status(thm)],[7213, 7212])).
% 24.31/16.07 tff(7215,plain,
% 24.31/16.07 (~v123(constB37)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7214, 1539, 7211])).
% 24.31/16.07 tff(7216,plain,
% 24.31/16.07 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB38, bitIndex2) | (~v129(constB38, bitIndex2)) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB38, bitIndex2) | (~v129(constB38, bitIndex2)) | (~v100(constB38)))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7217,plain,
% 24.31/16.07 ((v90(constB38, bitIndex2) | (~v100(constB38)) | (~v129(constB38, bitIndex2))) <=> (v90(constB38, bitIndex2) | (~v129(constB38, bitIndex2)) | (~v100(constB38)))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7218,plain,
% 24.31/16.07 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB38, bitIndex2) | (~v100(constB38)) | (~v129(constB38, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB38, bitIndex2) | (~v129(constB38, bitIndex2)) | (~v100(constB38))))),
% 24.31/16.07 inference(monotonicity,[status(thm)],[7217])).
% 24.31/16.07 tff(7219,plain,
% 24.31/16.07 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB38, bitIndex2) | (~v100(constB38)) | (~v129(constB38, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB38, bitIndex2) | (~v129(constB38, bitIndex2)) | (~v100(constB38)))),
% 24.31/16.07 inference(transitivity,[status(thm)],[7218, 7216])).
% 24.31/16.07 tff(7220,plain,
% 24.31/16.07 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB38, bitIndex2) | (~v100(constB38)) | (~v129(constB38, bitIndex2)))),
% 24.31/16.07 inference(quant_inst,[status(thm)],[])).
% 24.31/16.07 tff(7221,plain,
% 24.31/16.07 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB38, bitIndex2) | (~v129(constB38, bitIndex2)) | (~v100(constB38))),
% 24.31/16.07 inference(modus_ponens,[status(thm)],[7220, 7219])).
% 24.31/16.07 tff(7222,plain,
% 24.31/16.07 ((~v129(constB38, bitIndex2)) | (~v100(constB38))),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7221, 1204, 7163])).
% 24.31/16.07 tff(7223,plain,
% 24.31/16.07 (~v129(constB38, bitIndex2)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7222, 7164])).
% 24.31/16.07 tff(7224,plain,
% 24.31/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB37, constB38)) | (~v127(constB37, bitIndex2)) | v129(constB38, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB37, constB38)) | (~v127(constB37, bitIndex2)) | v129(constB38, bitIndex2))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7225,plain,
% 24.31/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB37, constB38)) | (~v127(constB37, bitIndex2)) | v129(constB38, bitIndex2))),
% 24.31/16.07 inference(quant_inst,[status(thm)],[])).
% 24.31/16.07 tff(7226,plain,
% 24.31/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB37, constB38)) | (~v127(constB37, bitIndex2)) | v129(constB38, bitIndex2)),
% 24.31/16.07 inference(modus_ponens,[status(thm)],[7225, 7224])).
% 24.31/16.07 tff(7227,plain,
% 24.31/16.07 ((~v127(constB37, bitIndex2)) | v129(constB38, bitIndex2)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7226, 1189, 7037])).
% 24.31/16.07 tff(7228,plain,
% 24.31/16.07 (~v127(constB37, bitIndex2)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7227, 7223])).
% 24.31/16.07 tff(7229,plain,
% 24.31/16.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB37) | (~v130(constB37, bitIndex2)) | v127(constB37, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB37) | (~v130(constB37, bitIndex2)) | v127(constB37, bitIndex2))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7230,plain,
% 24.31/16.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB37) | (~v130(constB37, bitIndex2)) | v127(constB37, bitIndex2))),
% 24.31/16.07 inference(quant_inst,[status(thm)],[])).
% 24.31/16.07 tff(7231,plain,
% 24.31/16.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB37) | (~v130(constB37, bitIndex2)) | v127(constB37, bitIndex2)),
% 24.31/16.07 inference(modus_ponens,[status(thm)],[7230, 7229])).
% 24.31/16.07 tff(7232,plain,
% 24.31/16.07 ((~v130(constB37, bitIndex2)) | v127(constB37, bitIndex2)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7231, 1174, 7022])).
% 24.31/16.07 tff(7233,plain,
% 24.31/16.07 (~v130(constB37, bitIndex2)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7232, 7228])).
% 24.31/16.07 tff(7234,plain,
% 24.31/16.07 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB37)) | v130(constB37, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB37)) | v130(constB37, bitIndex2))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7235,plain,
% 24.31/16.07 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB37)) | v130(constB37, bitIndex2))),
% 24.31/16.07 inference(quant_inst,[status(thm)],[])).
% 24.31/16.07 tff(7236,plain,
% 24.31/16.07 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB37)) | v130(constB37, bitIndex2)),
% 24.31/16.07 inference(modus_ponens,[status(thm)],[7235, 7234])).
% 24.31/16.07 tff(7237,plain,
% 24.31/16.07 (~v122(constB37)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7236, 2736, 7233])).
% 24.31/16.07 tff(7238,plain,
% 24.31/16.07 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB37)) | v130(constB37, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB37)) | v130(constB37, bitIndex0))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7239,plain,
% 24.31/16.07 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB37)) | v130(constB37, bitIndex0))),
% 24.31/16.07 inference(quant_inst,[status(thm)],[])).
% 24.31/16.07 tff(7240,plain,
% 24.31/16.07 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB37)) | v130(constB37, bitIndex0)),
% 24.31/16.07 inference(modus_ponens,[status(thm)],[7239, 7238])).
% 24.31/16.07 tff(7241,plain,
% 24.31/16.07 (~v121(constB37)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7240, 2600, 7182])).
% 24.31/16.07 tff(7242,plain,
% 24.31/16.07 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB37)) | v130(constB37, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB37)) | v130(constB37, bitIndex1))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7243,plain,
% 24.31/16.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB37)) | v130(constB37, bitIndex1))),
% 24.31/16.07 inference(quant_inst,[status(thm)],[])).
% 24.31/16.07 tff(7244,plain,
% 24.31/16.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB37)) | v130(constB37, bitIndex1)),
% 24.31/16.07 inference(modus_ponens,[status(thm)],[7243, 7242])).
% 24.31/16.07 tff(7245,plain,
% 24.31/16.07 (~v120(constB37)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7244, 2034, 7211])).
% 24.31/16.07 tff(7246,plain,
% 24.31/16.07 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB37)) | v130(constB37, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB37)) | v130(constB37, bitIndex2))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7247,plain,
% 24.31/16.07 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB37)) | v130(constB37, bitIndex2))),
% 24.31/16.07 inference(quant_inst,[status(thm)],[])).
% 24.31/16.07 tff(7248,plain,
% 24.31/16.07 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB37)) | v130(constB37, bitIndex2)),
% 24.31/16.07 inference(modus_ponens,[status(thm)],[7247, 7246])).
% 24.31/16.07 tff(7249,plain,
% 24.31/16.07 (~v119(constB37)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7248, 1160, 7233])).
% 24.31/16.07 tff(7250,plain,
% 24.31/16.07 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, bitIndex0))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7251,plain,
% 24.31/16.07 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, bitIndex0))),
% 24.31/16.07 inference(quant_inst,[status(thm)],[])).
% 24.31/16.07 tff(7252,plain,
% 24.31/16.07 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, bitIndex0)),
% 24.31/16.07 inference(modus_ponens,[status(thm)],[7251, 7250])).
% 24.31/16.07 tff(7253,plain,
% 24.31/16.07 (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7252, 1931, 7182])).
% 24.31/16.07 tff(7254,plain,
% 24.31/16.07 ($false),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7253, 7249, 7245, 7241, 7237, 7215, 7193])).
% 24.31/16.07 tff(7255,plain,((~v100(constB38)) | v90(constB38, bitIndex2) | v90(constB38, bitIndex1) | v90(constB38, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 24.31/16.07 tff(7256,plain,
% 24.31/16.07 (~v100(constB38)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7255, 7163, 7162, 7127])).
% 24.31/16.07 tff(7257,plain,
% 24.31/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB37, bitIndex2)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB37, bitIndex2)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, bitIndex2))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7258,plain,
% 24.31/16.07 (((~nextState(constB37, constB38)) | (~v90(constB37, bitIndex2)) | v100(constB38) | v90(constB38, bitIndex2)) <=> ((~v90(constB37, bitIndex2)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, bitIndex2))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7259,plain,
% 24.31/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB37, constB38)) | (~v90(constB37, bitIndex2)) | v100(constB38) | v90(constB38, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB37, bitIndex2)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, bitIndex2)))),
% 24.31/16.07 inference(monotonicity,[status(thm)],[7258])).
% 24.31/16.07 tff(7260,plain,
% 24.31/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB37, constB38)) | (~v90(constB37, bitIndex2)) | v100(constB38) | v90(constB38, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB37, bitIndex2)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, bitIndex2))),
% 24.31/16.07 inference(transitivity,[status(thm)],[7259, 7257])).
% 24.31/16.07 tff(7261,plain,
% 24.31/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB37, constB38)) | (~v90(constB37, bitIndex2)) | v100(constB38) | v90(constB38, bitIndex2))),
% 24.31/16.07 inference(quant_inst,[status(thm)],[])).
% 24.31/16.07 tff(7262,plain,
% 24.31/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB37, bitIndex2)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, bitIndex2)),
% 24.31/16.07 inference(modus_ponens,[status(thm)],[7261, 7260])).
% 24.31/16.07 tff(7263,plain,
% 24.31/16.07 ((~v90(constB37, bitIndex2)) | v100(constB38) | v90(constB38, bitIndex2)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7262, 1240, 7037])).
% 24.31/16.07 tff(7264,plain,
% 24.31/16.07 (~v90(constB37, bitIndex2)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7263, 7256, 7163])).
% 24.31/16.07 tff(7265,plain,
% 24.31/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB37, bitIndex1)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB37, bitIndex1)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, bitIndex1))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7266,plain,
% 24.31/16.07 (((~nextState(constB37, constB38)) | (~v90(constB37, bitIndex1)) | v100(constB38) | v90(constB38, bitIndex1)) <=> ((~v90(constB37, bitIndex1)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, bitIndex1))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7267,plain,
% 24.31/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB37, constB38)) | (~v90(constB37, bitIndex1)) | v100(constB38) | v90(constB38, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB37, bitIndex1)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, bitIndex1)))),
% 24.31/16.07 inference(monotonicity,[status(thm)],[7266])).
% 24.31/16.07 tff(7268,plain,
% 24.31/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB37, constB38)) | (~v90(constB37, bitIndex1)) | v100(constB38) | v90(constB38, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB37, bitIndex1)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, bitIndex1))),
% 24.31/16.07 inference(transitivity,[status(thm)],[7267, 7265])).
% 24.31/16.07 tff(7269,plain,
% 24.31/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB37, constB38)) | (~v90(constB37, bitIndex1)) | v100(constB38) | v90(constB38, bitIndex1))),
% 24.31/16.07 inference(quant_inst,[status(thm)],[])).
% 24.31/16.07 tff(7270,plain,
% 24.31/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB37, bitIndex1)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, bitIndex1)),
% 24.31/16.07 inference(modus_ponens,[status(thm)],[7269, 7268])).
% 24.31/16.07 tff(7271,plain,
% 24.31/16.07 ((~v90(constB37, bitIndex1)) | v100(constB38) | v90(constB38, bitIndex1)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7270, 1601, 7037])).
% 24.31/16.07 tff(7272,plain,
% 24.31/16.07 (~v90(constB37, bitIndex1)),
% 24.31/16.07 inference(unit_resolution,[status(thm)],[7271, 7256, 7162])).
% 24.31/16.07 tff(7273,plain,
% 24.31/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB37, bitIndex0)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB37, bitIndex0)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, bitIndex0))),
% 24.31/16.07 inference(rewrite,[status(thm)],[])).
% 24.31/16.07 tff(7274,plain,
% 24.36/16.08 (((~nextState(constB37, constB38)) | (~v90(constB37, bitIndex0)) | v100(constB38) | v90(constB38, bitIndex0)) <=> ((~v90(constB37, bitIndex0)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, bitIndex0))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7275,plain,
% 24.36/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB37, constB38)) | (~v90(constB37, bitIndex0)) | v100(constB38) | v90(constB38, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB37, bitIndex0)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, bitIndex0)))),
% 24.36/16.08 inference(monotonicity,[status(thm)],[7274])).
% 24.36/16.08 tff(7276,plain,
% 24.36/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB37, constB38)) | (~v90(constB37, bitIndex0)) | v100(constB38) | v90(constB38, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB37, bitIndex0)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, bitIndex0))),
% 24.36/16.08 inference(transitivity,[status(thm)],[7275, 7273])).
% 24.36/16.08 tff(7277,plain,
% 24.36/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB37, constB38)) | (~v90(constB37, bitIndex0)) | v100(constB38) | v90(constB38, bitIndex0))),
% 24.36/16.08 inference(quant_inst,[status(thm)],[])).
% 24.36/16.08 tff(7278,plain,
% 24.36/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB37, bitIndex0)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, bitIndex0)),
% 24.36/16.08 inference(modus_ponens,[status(thm)],[7277, 7276])).
% 24.36/16.08 tff(7279,plain,
% 24.36/16.08 ((~v90(constB37, bitIndex0)) | v100(constB38) | v90(constB38, bitIndex0)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7278, 1993, 7037])).
% 24.36/16.08 tff(7280,plain,
% 24.36/16.08 (~v90(constB37, bitIndex0)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7279, 7256, 7127])).
% 24.36/16.08 tff(7281,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v119(constB37))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v119(constB37))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7282,plain,
% 24.36/16.08 ((v90(constB37, bitIndex0) | v119(constB37) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2)) <=> (v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v119(constB37))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7283,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB37, bitIndex0) | v119(constB37) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v119(constB37)))),
% 24.36/16.08 inference(monotonicity,[status(thm)],[7282])).
% 24.36/16.08 tff(7284,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB37, bitIndex0) | v119(constB37) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v119(constB37))),
% 24.36/16.08 inference(transitivity,[status(thm)],[7283, 7281])).
% 24.36/16.08 tff(7285,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB37, bitIndex0) | v119(constB37) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2))),
% 24.36/16.08 inference(quant_inst,[status(thm)],[])).
% 24.36/16.08 tff(7286,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v119(constB37)),
% 24.36/16.08 inference(modus_ponens,[status(thm)],[7285, 7284])).
% 24.36/16.08 tff(7287,plain,
% 24.36/16.08 (v119(constB37)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7286, 955, 7280, 7272, 7264])).
% 24.36/16.08 tff(7288,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB37) | (~v119(constB37)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB37) | (~v119(constB37)))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7289,plain,
% 24.36/16.08 (((~v119(constB37)) | v118(constB37)) <=> (v118(constB37) | (~v119(constB37)))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7290,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB37)) | v118(constB37))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB37) | (~v119(constB37))))),
% 24.36/16.08 inference(monotonicity,[status(thm)],[7289])).
% 24.36/16.08 tff(7291,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB37)) | v118(constB37))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB37) | (~v119(constB37)))),
% 24.36/16.08 inference(transitivity,[status(thm)],[7290, 7288])).
% 24.36/16.08 tff(7292,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB37)) | v118(constB37))),
% 24.36/16.08 inference(quant_inst,[status(thm)],[])).
% 24.36/16.08 tff(7293,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB37) | (~v119(constB37))),
% 24.36/16.08 inference(modus_ponens,[status(thm)],[7292, 7291])).
% 24.36/16.08 tff(7294,plain,
% 24.36/16.08 (v118(constB37)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7293, 969, 7287])).
% 24.36/16.08 tff(7295,plain,
% 24.36/16.08 (v117(constB37)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[6992, 980, 7294])).
% 24.36/16.08 tff(7296,plain,
% 24.36/16.08 (v116(constB37)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[6999, 994, 7295])).
% 24.36/16.08 tff(7297,plain,
% 24.36/16.08 (~v110(constB38)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7070, 7256])).
% 24.36/16.08 tff(7298,plain,
% 24.36/16.08 (~v108(constB37)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7044, 7297])).
% 24.36/16.08 tff(7299,plain,
% 24.36/16.08 (~v112(constB37)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7033, 1062, 7298])).
% 24.36/16.08 tff(7300,plain,
% 24.36/16.08 (~v113(constB37)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7026, 7299])).
% 24.36/16.08 tff(7301,plain,
% 24.36/16.08 (~v114(constB37)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7017, 1036, 7300])).
% 24.36/16.08 tff(7302,plain,
% 24.36/16.08 (~v115(constB37)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7013, 1022, 7301])).
% 24.36/16.08 tff(7303,plain,
% 24.36/16.08 ($false),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7006, 1008, 7302, 7296])).
% 24.36/16.08 tff(7304,plain,(v90(constB38, bitIndex2) | v90(constB38, bitIndex1) | v90(constB38, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 24.36/16.08 tff(7305,plain,
% 24.36/16.08 (v90(constB38, bitIndex2)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7304, 7162, 7127])).
% 24.36/16.08 tff(7306,plain,
% 24.36/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB37, bitIndex2) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB37, bitIndex2) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, bitIndex2)))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7307,plain,
% 24.36/16.08 (((~nextState(constB37, constB38)) | v90(constB37, bitIndex2) | v100(constB38) | (~v90(constB38, bitIndex2))) <=> (v90(constB37, bitIndex2) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, bitIndex2)))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7308,plain,
% 24.36/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v90(constB37, bitIndex2) | v100(constB38) | (~v90(constB38, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB37, bitIndex2) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, bitIndex2))))),
% 24.36/16.08 inference(monotonicity,[status(thm)],[7307])).
% 24.36/16.08 tff(7309,plain,
% 24.36/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v90(constB37, bitIndex2) | v100(constB38) | (~v90(constB38, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB37, bitIndex2) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, bitIndex2)))),
% 24.36/16.08 inference(transitivity,[status(thm)],[7308, 7306])).
% 24.36/16.08 tff(7310,plain,
% 24.36/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v90(constB37, bitIndex2) | v100(constB38) | (~v90(constB38, bitIndex2)))),
% 24.36/16.08 inference(quant_inst,[status(thm)],[])).
% 24.36/16.08 tff(7311,plain,
% 24.36/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB37, bitIndex2) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, bitIndex2))),
% 24.36/16.08 inference(modus_ponens,[status(thm)],[7310, 7309])).
% 24.36/16.08 tff(7312,plain,
% 24.36/16.08 (v90(constB37, bitIndex2) | v100(constB38) | (~v90(constB38, bitIndex2))),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7311, 892, 7037])).
% 24.36/16.08 tff(7313,plain,
% 24.36/16.08 (v90(constB37, bitIndex2)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7312, 7129, 7305])).
% 24.36/16.08 tff(7314,plain,
% 24.36/16.08 (~v90(constB37, bitIndex1)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7271, 7129, 7162])).
% 24.36/16.08 tff(7315,plain,
% 24.36/16.08 (~v90(constB37, bitIndex0)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7279, 7129, 7127])).
% 24.36/16.08 tff(7316,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)) | v123(constB37))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)) | v123(constB37))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7317,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)) | v123(constB37))),
% 24.36/16.08 inference(quant_inst,[status(thm)],[])).
% 24.36/16.08 tff(7318,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)) | v123(constB37)),
% 24.36/16.08 inference(modus_ponens,[status(thm)],[7317, 7316])).
% 24.36/16.08 tff(7319,plain,
% 24.36/16.08 (v123(constB37)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7318, 1401, 7315, 7314, 7313])).
% 24.36/16.08 tff(7320,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB37) | (~v123(constB37)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB37) | (~v123(constB37)))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7321,plain,
% 24.36/16.08 (((~v123(constB37)) | v115(constB37)) <=> (v115(constB37) | (~v123(constB37)))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7322,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB37)) | v115(constB37))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB37) | (~v123(constB37))))),
% 24.36/16.08 inference(monotonicity,[status(thm)],[7321])).
% 24.36/16.08 tff(7323,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB37)) | v115(constB37))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB37) | (~v123(constB37)))),
% 24.36/16.08 inference(transitivity,[status(thm)],[7322, 7320])).
% 24.36/16.08 tff(7324,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB37)) | v115(constB37))),
% 24.36/16.08 inference(quant_inst,[status(thm)],[])).
% 24.36/16.08 tff(7325,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB37) | (~v123(constB37))),
% 24.36/16.08 inference(modus_ponens,[status(thm)],[7324, 7323])).
% 24.36/16.08 tff(7326,plain,
% 24.36/16.08 (v115(constB37)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7325, 1412, 7319])).
% 24.36/16.08 tff(7327,plain,
% 24.36/16.08 ($false),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7013, 1022, 7326, 7161])).
% 24.36/16.08 tff(7328,plain,(v100(constB38) | v90(constB38, bitIndex1) | v90(constB38, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 24.36/16.08 tff(7329,plain,
% 24.36/16.08 (v90(constB38, bitIndex1)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7328, 7129, 7127])).
% 24.36/16.08 tff(7330,plain,
% 24.36/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex1))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7331,plain,
% 24.36/16.08 (((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex1)) | v100(constB39) | v90(constB39, bitIndex1)) <=> ((~v90(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex1))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7332,plain,
% 24.36/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex1)) | v100(constB39) | v90(constB39, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex1)))),
% 24.36/16.08 inference(monotonicity,[status(thm)],[7331])).
% 24.36/16.08 tff(7333,plain,
% 24.36/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex1)) | v100(constB39) | v90(constB39, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex1))),
% 24.36/16.08 inference(transitivity,[status(thm)],[7332, 7330])).
% 24.36/16.08 tff(7334,plain,
% 24.36/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex1)) | v100(constB39) | v90(constB39, bitIndex1))),
% 24.36/16.08 inference(quant_inst,[status(thm)],[])).
% 24.36/16.08 tff(7335,plain,
% 24.36/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex1)),
% 24.36/16.08 inference(modus_ponens,[status(thm)],[7334, 7333])).
% 24.36/16.08 tff(7336,plain,
% 24.36/16.08 ((~v90(constB38, bitIndex1)) | v100(constB39) | v90(constB39, bitIndex1)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7335, 1601, 7135])).
% 24.36/16.08 tff(7337,plain,
% 24.36/16.08 ((~v90(constB38, bitIndex1)) | v90(constB39, bitIndex1)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7336, 7147])).
% 24.36/16.08 tff(7338,plain,
% 24.36/16.08 (v90(constB39, bitIndex1)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7337, 7329])).
% 24.36/16.08 tff(7339,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex2) | v121(constB39))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex2) | v121(constB39))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7340,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex2) | v121(constB39))),
% 24.36/16.08 inference(quant_inst,[status(thm)],[])).
% 24.36/16.08 tff(7341,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex2) | v121(constB39)),
% 24.36/16.08 inference(modus_ponens,[status(thm)],[7340, 7339])).
% 24.36/16.08 tff(7342,plain,
% 24.36/16.08 (v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex2)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7341, 2145, 7128])).
% 24.36/16.08 tff(7343,plain,
% 24.36/16.08 (v90(constB39, bitIndex2)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7342, 7338, 7156])).
% 24.36/16.08 tff(7344,plain,
% 24.36/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7345,plain,
% 24.36/16.08 (((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2))) <=> (v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7346,plain,
% 24.36/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2))))),
% 24.36/16.08 inference(monotonicity,[status(thm)],[7345])).
% 24.36/16.08 tff(7347,plain,
% 24.36/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 24.36/16.08 inference(transitivity,[status(thm)],[7346, 7344])).
% 24.36/16.08 tff(7348,plain,
% 24.36/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 24.36/16.08 inference(quant_inst,[status(thm)],[])).
% 24.36/16.08 tff(7349,plain,
% 24.36/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2))),
% 24.36/16.08 inference(modus_ponens,[status(thm)],[7348, 7347])).
% 24.36/16.08 tff(7350,plain,
% 24.36/16.08 (v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2))),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7349, 892, 7135])).
% 24.36/16.08 tff(7351,plain,
% 24.36/16.08 (v90(constB38, bitIndex2) | (~v90(constB39, bitIndex2))),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7350, 7147])).
% 24.36/16.08 tff(7352,plain,
% 24.36/16.08 (v90(constB38, bitIndex2)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7351, 7343])).
% 24.36/16.08 tff(7353,plain,
% 24.36/16.08 (v90(constB37, bitIndex2)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7312, 7352, 7129])).
% 24.36/16.08 tff(7354,plain,
% 24.36/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB37, bitIndex1) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB37, bitIndex1) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, bitIndex1)))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7355,plain,
% 24.36/16.08 (((~nextState(constB37, constB38)) | v90(constB37, bitIndex1) | v100(constB38) | (~v90(constB38, bitIndex1))) <=> (v90(constB37, bitIndex1) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, bitIndex1)))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7356,plain,
% 24.36/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB37, constB38)) | v90(constB37, bitIndex1) | v100(constB38) | (~v90(constB38, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB37, bitIndex1) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, bitIndex1))))),
% 24.36/16.08 inference(monotonicity,[status(thm)],[7355])).
% 24.36/16.08 tff(7357,plain,
% 24.36/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB37, constB38)) | v90(constB37, bitIndex1) | v100(constB38) | (~v90(constB38, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB37, bitIndex1) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, bitIndex1)))),
% 24.36/16.08 inference(transitivity,[status(thm)],[7356, 7354])).
% 24.36/16.08 tff(7358,plain,
% 24.36/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB37, constB38)) | v90(constB37, bitIndex1) | v100(constB38) | (~v90(constB38, bitIndex1)))),
% 24.36/16.08 inference(quant_inst,[status(thm)],[])).
% 24.36/16.08 tff(7359,plain,
% 24.36/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB37, bitIndex1) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, bitIndex1))),
% 24.36/16.08 inference(modus_ponens,[status(thm)],[7358, 7357])).
% 24.36/16.08 tff(7360,plain,
% 24.36/16.08 (v90(constB37, bitIndex1) | v100(constB38) | (~v90(constB38, bitIndex1))),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7359, 913, 7037])).
% 24.36/16.08 tff(7361,plain,
% 24.36/16.08 (v90(constB37, bitIndex1)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7360, 7129, 7329])).
% 24.36/16.08 tff(7362,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)) | v125(constB37))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)) | v125(constB37))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7363,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)) | v125(constB37))),
% 24.36/16.08 inference(quant_inst,[status(thm)],[])).
% 24.36/16.08 tff(7364,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)) | v125(constB37)),
% 24.36/16.08 inference(modus_ponens,[status(thm)],[7363, 7362])).
% 24.36/16.08 tff(7365,plain,
% 24.36/16.08 (v125(constB37)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7364, 1661, 7315, 7361, 7353])).
% 24.36/16.08 tff(7366,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB37)) | v113(constB37))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB37)) | v113(constB37))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7367,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB37)) | v113(constB37))),
% 24.36/16.08 inference(quant_inst,[status(thm)],[])).
% 24.36/16.08 tff(7368,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB37)) | v113(constB37)),
% 24.36/16.08 inference(modus_ponens,[status(thm)],[7367, 7366])).
% 24.36/16.08 tff(7369,plain,
% 24.36/16.08 ($false),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7368, 1672, 7160, 7365])).
% 24.36/16.08 tff(7370,plain,(v100(constB38) | v121(constB39) | v90(constB38, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 24.36/16.08 tff(7371,plain,
% 24.36/16.08 (v100(constB38)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7370, 7127, 7128])).
% 24.36/16.08 tff(7372,plain,
% 24.36/16.08 (v90(constB38, bitIndex1)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7255, 7163, 7371, 7127])).
% 24.36/16.08 tff(7373,plain,
% 24.36/16.08 (~v90(constB39, bitIndex2)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7351, 7163])).
% 24.36/16.08 tff(7374,plain,
% 24.36/16.08 (~v90(constB39, bitIndex1)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7342, 7373, 7156])).
% 24.36/16.08 tff(7375,plain,
% 24.36/16.08 ($false),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7337, 7374, 7372])).
% 24.36/16.08 tff(7376,plain,(v90(constB38, bitIndex2) | v121(constB39) | v90(constB38, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 24.36/16.08 tff(7377,plain,
% 24.36/16.08 (v121(constB39)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7376, 7126, 7104])).
% 24.36/16.08 tff(7378,assumption,(v121(constB39)), introduced(assumption)).
% 24.36/16.08 tff(7379,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB39)) | v117(constB39))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB39)) | v117(constB39))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7380,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB39)) | v117(constB39))),
% 24.36/16.08 inference(quant_inst,[status(thm)],[])).
% 24.36/16.08 tff(7381,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB39)) | v117(constB39)),
% 24.36/16.08 inference(modus_ponens,[status(thm)],[7380, 7379])).
% 24.36/16.08 tff(7382,plain,
% 24.36/16.08 (v117(constB39)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7381, 2102, 7378])).
% 24.36/16.08 tff(7383,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB39) | (~v117(constB39)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB39) | (~v117(constB39)))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7384,plain,
% 24.36/16.08 (((~v117(constB39)) | v116(constB39)) <=> (v116(constB39) | (~v117(constB39)))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7385,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB39)) | v116(constB39))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB39) | (~v117(constB39))))),
% 24.36/16.08 inference(monotonicity,[status(thm)],[7384])).
% 24.36/16.08 tff(7386,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB39)) | v116(constB39))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB39) | (~v117(constB39)))),
% 24.36/16.08 inference(transitivity,[status(thm)],[7385, 7383])).
% 24.36/16.08 tff(7387,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB39)) | v116(constB39))),
% 24.36/16.08 inference(quant_inst,[status(thm)],[])).
% 24.36/16.08 tff(7388,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB39) | (~v117(constB39))),
% 24.36/16.08 inference(modus_ponens,[status(thm)],[7387, 7386])).
% 24.36/16.08 tff(7389,plain,
% 24.36/16.08 (v116(constB39)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7388, 994, 7382])).
% 24.36/16.08 tff(7390,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB39)) | v115(constB39))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB39)) | v115(constB39))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7391,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB39)) | v115(constB39))),
% 24.36/16.08 inference(quant_inst,[status(thm)],[])).
% 24.36/16.08 tff(7392,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB39)) | v115(constB39)),
% 24.36/16.08 inference(modus_ponens,[status(thm)],[7391, 7390])).
% 24.36/16.08 tff(7393,plain,
% 24.36/16.08 (v115(constB39)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7392, 1008, 7389])).
% 24.36/16.08 tff(7394,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB39) | (~v115(constB39)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB39) | (~v115(constB39)))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7395,plain,
% 24.36/16.08 (((~v115(constB39)) | v114(constB39)) <=> (v114(constB39) | (~v115(constB39)))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7396,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB39)) | v114(constB39))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB39) | (~v115(constB39))))),
% 24.36/16.08 inference(monotonicity,[status(thm)],[7395])).
% 24.36/16.08 tff(7397,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB39)) | v114(constB39))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB39) | (~v115(constB39)))),
% 24.36/16.08 inference(transitivity,[status(thm)],[7396, 7394])).
% 24.36/16.08 tff(7398,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB39)) | v114(constB39))),
% 24.36/16.08 inference(quant_inst,[status(thm)],[])).
% 24.36/16.08 tff(7399,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB39) | (~v115(constB39))),
% 24.36/16.08 inference(modus_ponens,[status(thm)],[7398, 7397])).
% 24.36/16.08 tff(7400,plain,
% 24.36/16.08 (v114(constB39)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7399, 1022, 7393])).
% 24.36/16.08 tff(7401,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB39) | (~v114(constB39)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB39) | (~v114(constB39)))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7402,plain,
% 24.36/16.08 (((~v114(constB39)) | v113(constB39)) <=> (v113(constB39) | (~v114(constB39)))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7403,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB39)) | v113(constB39))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB39) | (~v114(constB39))))),
% 24.36/16.08 inference(monotonicity,[status(thm)],[7402])).
% 24.36/16.08 tff(7404,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB39)) | v113(constB39))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB39) | (~v114(constB39)))),
% 24.36/16.08 inference(transitivity,[status(thm)],[7403, 7401])).
% 24.36/16.08 tff(7405,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB39)) | v113(constB39))),
% 24.36/16.08 inference(quant_inst,[status(thm)],[])).
% 24.36/16.08 tff(7406,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB39) | (~v114(constB39))),
% 24.36/16.08 inference(modus_ponens,[status(thm)],[7405, 7404])).
% 24.36/16.08 tff(7407,plain,
% 24.36/16.08 (v113(constB39)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7406, 1036, 7400])).
% 24.36/16.08 tff(7408,assumption,(v26(constB39)), introduced(assumption)).
% 24.36/16.08 tff(7409,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB39))),
% 24.36/16.08 inference(quant_inst,[status(thm)],[])).
% 24.36/16.08 tff(7410,plain,
% 24.36/16.08 ($false),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7409, 797, 7408])).
% 24.36/16.08 tff(7411,plain,(~v26(constB39)), inference(lemma,lemma(discharge,[]))).
% 24.36/16.08 tff(7412,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | (~v113(constB39)) | v112(constB39))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7413,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))),
% 24.36/16.08 inference(quant_inst,[status(thm)],[])).
% 24.36/16.08 tff(7414,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | (~v113(constB39)) | v112(constB39)),
% 24.36/16.08 inference(modus_ponens,[status(thm)],[7413, 7412])).
% 24.36/16.08 tff(7415,plain,
% 24.36/16.08 ((~v113(constB39)) | v112(constB39)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7414, 1050, 7411])).
% 24.36/16.08 tff(7416,plain,
% 24.36/16.08 (v112(constB39)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7415, 7407])).
% 24.36/16.08 tff(7417,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB39) | (~v112(constB39)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v112(constB39)))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7418,plain,
% 24.36/16.08 (((~v112(constB39)) | v108(constB39)) <=> (v108(constB39) | (~v112(constB39)))),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7419,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB39)) | v108(constB39))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB39) | (~v112(constB39))))),
% 24.36/16.08 inference(monotonicity,[status(thm)],[7418])).
% 24.36/16.08 tff(7420,plain,
% 24.36/16.08 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB39)) | v108(constB39))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v112(constB39)))),
% 24.36/16.08 inference(transitivity,[status(thm)],[7419, 7417])).
% 24.36/16.08 tff(7421,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB39)) | v108(constB39))),
% 24.36/16.08 inference(quant_inst,[status(thm)],[])).
% 24.36/16.08 tff(7422,plain,
% 24.36/16.08 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v112(constB39))),
% 24.36/16.08 inference(modus_ponens,[status(thm)],[7421, 7420])).
% 24.36/16.08 tff(7423,plain,
% 24.36/16.08 (v108(constB39)),
% 24.36/16.08 inference(unit_resolution,[status(thm)],[7422, 1062, 7416])).
% 24.36/16.08 tff(7424,plain,
% 24.36/16.08 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 24.36/16.08 inference(rewrite,[status(thm)],[])).
% 24.36/16.08 tff(7425,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_39_1')).
% 24.36/16.08 tff(7426,plain,
% 24.36/16.08 (nextState(constB39, constB40)),
% 24.36/16.08 inference(modus_ponens,[status(thm)],[7425, 7424])).
% 24.36/16.08 tff(7427,plain,
% 24.36/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7428,plain,
% 24.36/16.09 (((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40)) <=> ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7429,plain,
% 24.36/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39))))),
% 24.36/16.09 inference(monotonicity,[status(thm)],[7428])).
% 24.36/16.09 tff(7430,plain,
% 24.36/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 24.36/16.09 inference(transitivity,[status(thm)],[7429, 7427])).
% 24.36/16.09 tff(7431,plain,
% 24.36/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))),
% 24.36/16.09 inference(quant_inst,[status(thm)],[])).
% 24.36/16.09 tff(7432,plain,
% 24.36/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39))),
% 24.36/16.09 inference(modus_ponens,[status(thm)],[7431, 7430])).
% 24.36/16.09 tff(7433,plain,
% 24.36/16.09 (v110(constB40) | (~v108(constB39))),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7432, 1082, 7426])).
% 24.36/16.09 tff(7434,plain,
% 24.36/16.09 (v110(constB40)),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7433, 7423])).
% 24.36/16.09 tff(7435,plain,
% 24.36/16.09 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7436,plain,
% 24.36/16.09 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))),
% 24.36/16.09 inference(quant_inst,[status(thm)],[])).
% 24.36/16.09 tff(7437,plain,
% 24.36/16.09 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40))),
% 24.36/16.09 inference(modus_ponens,[status(thm)],[7436, 7435])).
% 24.36/16.09 tff(7438,plain,
% 24.36/16.09 (~v104(constB40)),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7437, 1100, 7426, 7132])).
% 24.36/16.09 tff(7439,plain,
% 24.36/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7440,plain,
% 24.36/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))),
% 24.36/16.09 inference(quant_inst,[status(thm)],[])).
% 24.36/16.09 tff(7441,plain,
% 24.36/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v102(constB40) | v104(constB40)),
% 24.36/16.09 inference(modus_ponens,[status(thm)],[7440, 7439])).
% 24.36/16.09 tff(7442,plain,
% 24.36/16.09 (v102(constB40) | v104(constB40)),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7441, 1114, 7426])).
% 24.36/16.09 tff(7443,plain,
% 24.36/16.09 (v102(constB40)),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7442, 7438])).
% 24.36/16.09 tff(7444,plain,
% 24.36/16.09 (v1(constB40) <=> v1(constB40)),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7445,axiom,(v1(constB40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_40_1')).
% 24.36/16.09 tff(7446,plain,
% 24.36/16.09 (v1(constB40)),
% 24.36/16.09 inference(modus_ponens,[status(thm)],[7445, 7444])).
% 24.36/16.09 tff(7447,plain,
% 24.36/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7448,plain,
% 24.36/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))),
% 24.36/16.09 inference(quant_inst,[status(thm)],[])).
% 24.36/16.09 tff(7449,plain,
% 24.36/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40))),
% 24.36/16.09 inference(modus_ponens,[status(thm)],[7448, 7447])).
% 24.36/16.09 tff(7450,plain,
% 24.36/16.09 (v101(constB40) | (~v102(constB40))),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7449, 1129, 7426, 7446])).
% 24.36/16.09 tff(7451,plain,
% 24.36/16.09 (v101(constB40)),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7450, 7443])).
% 24.36/16.09 tff(7452,plain,
% 24.36/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7453,plain,
% 24.36/16.09 (((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40)) <=> ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7454,plain,
% 24.36/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40))))),
% 24.36/16.09 inference(monotonicity,[status(thm)],[7453])).
% 24.36/16.09 tff(7455,plain,
% 24.36/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 24.36/16.09 inference(transitivity,[status(thm)],[7454, 7452])).
% 24.36/16.09 tff(7456,plain,
% 24.36/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))),
% 24.36/16.09 inference(quant_inst,[status(thm)],[])).
% 24.36/16.09 tff(7457,plain,
% 24.36/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 24.36/16.09 inference(modus_ponens,[status(thm)],[7456, 7455])).
% 24.36/16.09 tff(7458,plain,
% 24.36/16.09 (v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7457, 1144, 7426])).
% 24.36/16.09 tff(7459,plain,
% 24.36/16.09 (v100(constB40) | (~v110(constB40))),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7458, 7451])).
% 24.36/16.09 tff(7460,plain,
% 24.36/16.09 (v100(constB40)),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7459, 7434])).
% 24.36/16.09 tff(7461,plain,
% 24.36/16.09 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB39)) | (~v130(constB39, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB39)) | (~v130(constB39, bitIndex2)))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7462,plain,
% 24.36/16.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB39)) | (~v130(constB39, bitIndex2)))),
% 24.36/16.09 inference(quant_inst,[status(thm)],[])).
% 24.36/16.09 tff(7463,plain,
% 24.36/16.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB39)) | (~v130(constB39, bitIndex2))),
% 24.36/16.09 inference(modus_ponens,[status(thm)],[7462, 7461])).
% 24.36/16.09 tff(7464,plain,
% 24.36/16.09 (~v130(constB39, bitIndex2)),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7463, 2406, 7378])).
% 24.36/16.09 tff(7465,plain,
% 24.36/16.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7466,plain,
% 24.36/16.09 ((v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2))) <=> ((~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7467,plain,
% 24.36/16.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2)))),
% 24.36/16.09 inference(monotonicity,[status(thm)],[7466])).
% 24.36/16.09 tff(7468,plain,
% 24.36/16.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))),
% 24.36/16.09 inference(transitivity,[status(thm)],[7467, 7465])).
% 24.36/16.09 tff(7469,plain,
% 24.36/16.09 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2)))),
% 24.36/16.09 inference(quant_inst,[status(thm)],[])).
% 24.36/16.09 tff(7470,plain,
% 24.36/16.09 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2)),
% 24.36/16.09 inference(modus_ponens,[status(thm)],[7469, 7468])).
% 24.36/16.09 tff(7471,plain,
% 24.36/16.09 ((~v127(constB39, bitIndex2)) | v130(constB39, bitIndex2)),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7470, 1812, 7411])).
% 24.36/16.09 tff(7472,plain,
% 24.36/16.09 (~v127(constB39, bitIndex2)),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7471, 7464])).
% 24.36/16.09 tff(7473,plain,
% 24.36/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2)))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7474,plain,
% 24.36/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2)))),
% 24.36/16.09 inference(quant_inst,[status(thm)],[])).
% 24.36/16.09 tff(7475,plain,
% 24.36/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2))),
% 24.36/16.09 inference(modus_ponens,[status(thm)],[7474, 7473])).
% 24.36/16.09 tff(7476,plain,
% 24.36/16.09 (v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2))),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7475, 1830, 7426])).
% 24.36/16.09 tff(7477,plain,
% 24.36/16.09 (~v129(constB40, bitIndex2)),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7476, 7472])).
% 24.36/16.09 tff(7478,plain,
% 24.36/16.09 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7479,plain,
% 24.36/16.09 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))),
% 24.36/16.09 inference(quant_inst,[status(thm)],[])).
% 24.36/16.09 tff(7480,plain,
% 24.36/16.09 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40))),
% 24.36/16.09 inference(modus_ponens,[status(thm)],[7479, 7478])).
% 24.36/16.09 tff(7481,plain,
% 24.36/16.09 ((~v90(constB40, bitIndex2)) | (~v100(constB40))),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7480, 1845, 7477])).
% 24.36/16.09 tff(7482,plain,
% 24.36/16.09 (~v90(constB40, bitIndex2)),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7481, 7460])).
% 24.36/16.09 tff(7483,plain,
% 24.36/16.09 ((~v1(constB41)) <=> (~v1(constB41))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7484,axiom,(~v1(constB41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_41_1_1')).
% 24.36/16.09 tff(7485,plain,
% 24.36/16.09 (~v1(constB41)),
% 24.36/16.09 inference(modus_ponens,[status(thm)],[7484, 7483])).
% 24.36/16.09 tff(7486,plain,
% 24.36/16.09 (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7487,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_40_1')).
% 24.36/16.09 tff(7488,plain,
% 24.36/16.09 (nextState(constB40, constB41)),
% 24.36/16.09 inference(modus_ponens,[status(thm)],[7487, 7486])).
% 24.36/16.09 tff(7489,plain,
% 24.36/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7490,plain,
% 24.36/16.09 (((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41)) <=> (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7491,plain,
% 24.36/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41))))),
% 24.36/16.09 inference(monotonicity,[status(thm)],[7490])).
% 24.36/16.09 tff(7492,plain,
% 24.36/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 24.36/16.09 inference(transitivity,[status(thm)],[7491, 7489])).
% 24.36/16.09 tff(7493,plain,
% 24.36/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))),
% 24.36/16.09 inference(quant_inst,[status(thm)],[])).
% 24.36/16.09 tff(7494,plain,
% 24.36/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41))),
% 24.36/16.09 inference(modus_ponens,[status(thm)],[7493, 7492])).
% 24.36/16.09 tff(7495,plain,
% 24.36/16.09 (~v101(constB41)),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7494, 860, 7488, 7485])).
% 24.36/16.09 tff(7496,plain,
% 24.36/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7497,plain,
% 24.36/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))),
% 24.36/16.09 inference(quant_inst,[status(thm)],[])).
% 24.36/16.09 tff(7498,plain,
% 24.36/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41))),
% 24.36/16.09 inference(modus_ponens,[status(thm)],[7497, 7496])).
% 24.36/16.09 tff(7499,plain,
% 24.36/16.09 (v101(constB41) | (~v100(constB41))),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7498, 877, 7488])).
% 24.36/16.09 tff(7500,plain,
% 24.36/16.09 (~v100(constB41)),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7499, 7495])).
% 24.36/16.09 tff(7501,plain,
% 24.36/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7502,plain,
% 24.36/16.09 (((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2))) <=> (v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7503,plain,
% 24.36/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2))))),
% 24.36/16.09 inference(monotonicity,[status(thm)],[7502])).
% 24.36/16.09 tff(7504,plain,
% 24.36/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 24.36/16.09 inference(transitivity,[status(thm)],[7503, 7501])).
% 24.36/16.09 tff(7505,plain,
% 24.36/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 24.36/16.09 inference(quant_inst,[status(thm)],[])).
% 24.36/16.09 tff(7506,plain,
% 24.36/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2))),
% 24.36/16.09 inference(modus_ponens,[status(thm)],[7505, 7504])).
% 24.36/16.09 tff(7507,plain,
% 24.36/16.09 (v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2))),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7506, 892, 7488])).
% 24.36/16.09 tff(7508,plain,
% 24.36/16.09 (v90(constB40, bitIndex2) | (~v90(constB41, bitIndex2))),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7507, 7500])).
% 24.36/16.09 tff(7509,plain,
% 24.36/16.09 (~v90(constB41, bitIndex2)),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7508, 7482])).
% 24.36/16.09 tff(7510,plain,
% 24.36/16.09 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB39)) | v130(constB39, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB39)) | v130(constB39, bitIndex0))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7511,plain,
% 24.36/16.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB39)) | v130(constB39, bitIndex0))),
% 24.36/16.09 inference(quant_inst,[status(thm)],[])).
% 24.36/16.09 tff(7512,plain,
% 24.36/16.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB39)) | v130(constB39, bitIndex0)),
% 24.36/16.09 inference(modus_ponens,[status(thm)],[7511, 7510])).
% 24.36/16.09 tff(7513,plain,
% 24.36/16.09 (v130(constB39, bitIndex0)),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7512, 2600, 7378])).
% 24.36/16.09 tff(7514,plain,
% 24.36/16.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB39) | (~v130(constB39, bitIndex0)) | v127(constB39, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB39) | (~v130(constB39, bitIndex0)) | v127(constB39, bitIndex0))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7515,plain,
% 24.36/16.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB39) | (~v130(constB39, bitIndex0)) | v127(constB39, bitIndex0))),
% 24.36/16.09 inference(quant_inst,[status(thm)],[])).
% 24.36/16.09 tff(7516,plain,
% 24.36/16.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB39) | (~v130(constB39, bitIndex0)) | v127(constB39, bitIndex0)),
% 24.36/16.09 inference(modus_ponens,[status(thm)],[7515, 7514])).
% 24.36/16.09 tff(7517,plain,
% 24.36/16.09 ((~v130(constB39, bitIndex0)) | v127(constB39, bitIndex0)),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7516, 1945, 7411])).
% 24.36/16.09 tff(7518,plain,
% 24.36/16.09 (v127(constB39, bitIndex0)),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7517, 7513])).
% 24.36/16.09 tff(7519,plain,
% 24.36/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB39, constB40)) | (~v127(constB39, bitIndex0)) | v129(constB40, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB39, constB40)) | (~v127(constB39, bitIndex0)) | v129(constB40, bitIndex0))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7520,plain,
% 24.36/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB39, constB40)) | (~v127(constB39, bitIndex0)) | v129(constB40, bitIndex0))),
% 24.36/16.09 inference(quant_inst,[status(thm)],[])).
% 24.36/16.09 tff(7521,plain,
% 24.36/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB39, constB40)) | (~v127(constB39, bitIndex0)) | v129(constB40, bitIndex0)),
% 24.36/16.09 inference(modus_ponens,[status(thm)],[7520, 7519])).
% 24.36/16.09 tff(7522,plain,
% 24.36/16.09 ((~v127(constB39, bitIndex0)) | v129(constB40, bitIndex0)),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7521, 1960, 7426])).
% 24.36/16.09 tff(7523,plain,
% 24.36/16.09 (v129(constB40, bitIndex0)),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7522, 7518])).
% 24.36/16.09 tff(7524,plain,
% 24.36/16.09 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~v129(constB40, bitIndex0)) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~v129(constB40, bitIndex0)) | (~v100(constB40)))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7525,plain,
% 24.36/16.09 ((v90(constB40, bitIndex0) | (~v100(constB40)) | (~v129(constB40, bitIndex0))) <=> (v90(constB40, bitIndex0) | (~v129(constB40, bitIndex0)) | (~v100(constB40)))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7526,plain,
% 24.36/16.09 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~v100(constB40)) | (~v129(constB40, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~v129(constB40, bitIndex0)) | (~v100(constB40))))),
% 24.36/16.09 inference(monotonicity,[status(thm)],[7525])).
% 24.36/16.09 tff(7527,plain,
% 24.36/16.09 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~v100(constB40)) | (~v129(constB40, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~v129(constB40, bitIndex0)) | (~v100(constB40)))),
% 24.36/16.09 inference(transitivity,[status(thm)],[7526, 7524])).
% 24.36/16.09 tff(7528,plain,
% 24.36/16.09 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~v100(constB40)) | (~v129(constB40, bitIndex0)))),
% 24.36/16.09 inference(quant_inst,[status(thm)],[])).
% 24.36/16.09 tff(7529,plain,
% 24.36/16.09 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~v129(constB40, bitIndex0)) | (~v100(constB40))),
% 24.36/16.09 inference(modus_ponens,[status(thm)],[7528, 7527])).
% 24.36/16.09 tff(7530,plain,
% 24.36/16.09 (v90(constB40, bitIndex0) | (~v100(constB40))),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7529, 1975, 7523])).
% 24.36/16.09 tff(7531,plain,
% 24.36/16.09 (v90(constB40, bitIndex0)),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7530, 7460])).
% 24.36/16.09 tff(7532,plain,
% 24.36/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex0))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7533,plain,
% 24.36/16.09 (((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex0)) | v100(constB41) | v90(constB41, bitIndex0)) <=> ((~v90(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex0))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7534,plain,
% 24.36/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex0)) | v100(constB41) | v90(constB41, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex0)))),
% 24.36/16.09 inference(monotonicity,[status(thm)],[7533])).
% 24.36/16.09 tff(7535,plain,
% 24.36/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex0)) | v100(constB41) | v90(constB41, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex0))),
% 24.36/16.09 inference(transitivity,[status(thm)],[7534, 7532])).
% 24.36/16.09 tff(7536,plain,
% 24.36/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex0)) | v100(constB41) | v90(constB41, bitIndex0))),
% 24.36/16.09 inference(quant_inst,[status(thm)],[])).
% 24.36/16.09 tff(7537,plain,
% 24.36/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex0)),
% 24.36/16.09 inference(modus_ponens,[status(thm)],[7536, 7535])).
% 24.36/16.09 tff(7538,plain,
% 24.36/16.09 ((~v90(constB40, bitIndex0)) | v100(constB41) | v90(constB41, bitIndex0)),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7537, 1993, 7488])).
% 24.36/16.09 tff(7539,plain,
% 24.36/16.09 ((~v90(constB40, bitIndex0)) | v90(constB41, bitIndex0)),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7538, 7500])).
% 24.36/16.09 tff(7540,plain,
% 24.36/16.09 (v90(constB41, bitIndex0)),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7539, 7531])).
% 24.36/16.09 tff(7541,plain,
% 24.36/16.09 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB39)) | v130(constB39, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB39)) | v130(constB39, bitIndex1))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7542,plain,
% 24.36/16.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB39)) | v130(constB39, bitIndex1))),
% 24.36/16.09 inference(quant_inst,[status(thm)],[])).
% 24.36/16.09 tff(7543,plain,
% 24.36/16.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB39)) | v130(constB39, bitIndex1)),
% 24.36/16.09 inference(modus_ponens,[status(thm)],[7542, 7541])).
% 24.36/16.09 tff(7544,plain,
% 24.36/16.09 (v130(constB39, bitIndex1)),
% 24.36/16.09 inference(unit_resolution,[status(thm)],[7543, 2562, 7378])).
% 24.36/16.09 tff(7545,plain,
% 24.36/16.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1))),
% 24.36/16.09 inference(rewrite,[status(thm)],[])).
% 24.36/16.09 tff(7546,plain,
% 24.36/16.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1))),
% 24.36/16.09 inference(quant_inst,[status(thm)],[])).
% 24.36/16.09 tff(7547,plain,
% 24.36/16.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1)),
% 24.36/16.09 inference(modus_ponens,[status(thm)],[7546, 7545])).
% 24.36/16.09 tff(7548,plain,
% 24.36/16.09 ((~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7547, 1553, 7411])).
% 24.36/16.10 tff(7549,plain,
% 24.36/16.10 (v127(constB39, bitIndex1)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7548, 7544])).
% 24.36/16.10 tff(7550,plain,
% 24.36/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7551,plain,
% 24.36/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1))),
% 24.36/16.10 inference(quant_inst,[status(thm)],[])).
% 24.36/16.10 tff(7552,plain,
% 24.36/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1)),
% 24.36/16.10 inference(modus_ponens,[status(thm)],[7551, 7550])).
% 24.36/16.10 tff(7553,plain,
% 24.36/16.10 ((~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7552, 1568, 7426])).
% 24.36/16.10 tff(7554,plain,
% 24.36/16.10 (v129(constB40, bitIndex1)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7553, 7549])).
% 24.36/16.10 tff(7555,plain,
% 24.36/16.10 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7556,plain,
% 24.36/16.10 ((v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1))) <=> (v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7557,plain,
% 24.36/16.10 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40))))),
% 24.36/16.10 inference(monotonicity,[status(thm)],[7556])).
% 24.36/16.10 tff(7558,plain,
% 24.36/16.10 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))),
% 24.36/16.10 inference(transitivity,[status(thm)],[7557, 7555])).
% 24.36/16.10 tff(7559,plain,
% 24.36/16.10 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1)))),
% 24.36/16.10 inference(quant_inst,[status(thm)],[])).
% 24.36/16.10 tff(7560,plain,
% 24.36/16.10 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40))),
% 24.36/16.10 inference(modus_ponens,[status(thm)],[7559, 7558])).
% 24.36/16.10 tff(7561,plain,
% 24.36/16.10 (v90(constB40, bitIndex1) | (~v100(constB40))),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7560, 1583, 7554])).
% 24.36/16.10 tff(7562,plain,
% 24.36/16.10 (v90(constB40, bitIndex1)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7561, 7460])).
% 24.36/16.10 tff(7563,plain,
% 24.36/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7564,plain,
% 24.36/16.10 (((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1)) <=> ((~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7565,plain,
% 24.36/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1)))),
% 24.36/16.10 inference(monotonicity,[status(thm)],[7564])).
% 24.36/16.10 tff(7566,plain,
% 24.36/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))),
% 24.36/16.10 inference(transitivity,[status(thm)],[7565, 7563])).
% 24.36/16.10 tff(7567,plain,
% 24.36/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1))),
% 24.36/16.10 inference(quant_inst,[status(thm)],[])).
% 24.36/16.10 tff(7568,plain,
% 24.36/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1)),
% 24.36/16.10 inference(modus_ponens,[status(thm)],[7567, 7566])).
% 24.36/16.10 tff(7569,plain,
% 24.36/16.10 ((~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7568, 1601, 7488])).
% 24.36/16.10 tff(7570,plain,
% 24.36/16.10 ((~v90(constB40, bitIndex1)) | v90(constB41, bitIndex1)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7569, 7500])).
% 24.36/16.10 tff(7571,plain,
% 24.36/16.10 (v90(constB41, bitIndex1)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7570, 7562])).
% 24.36/16.10 tff(7572,assumption,(~v122(constB41)), introduced(assumption)).
% 24.36/16.10 tff(7573,plain,
% 24.36/16.10 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB41, bitIndex0)) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v122(constB41))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB41, bitIndex0)) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v122(constB41))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7574,plain,
% 24.36/16.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB41, bitIndex0)) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v122(constB41))),
% 24.36/16.10 inference(quant_inst,[status(thm)],[])).
% 24.36/16.10 tff(7575,plain,
% 24.36/16.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB41, bitIndex0)) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v122(constB41)),
% 24.36/16.10 inference(modus_ponens,[status(thm)],[7574, 7573])).
% 24.36/16.10 tff(7576,plain,
% 24.36/16.10 ((~v90(constB41, bitIndex0)) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7575, 2641, 7572])).
% 24.36/16.10 tff(7577,plain,
% 24.36/16.10 ($false),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7576, 7571, 7540, 7509])).
% 24.36/16.10 tff(7578,plain,((~v121(constB39)) | v122(constB41)), inference(lemma,lemma(discharge,[]))).
% 24.36/16.10 tff(7579,plain,
% 24.36/16.10 (v122(constB41)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7578, 7377])).
% 24.36/16.10 tff(7580,assumption,(v122(constB41)), introduced(assumption)).
% 24.36/16.10 tff(7581,plain,
% 24.36/16.10 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB41)) | v116(constB41))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB41)) | v116(constB41))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7582,plain,
% 24.36/16.10 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB41)) | v116(constB41))),
% 24.36/16.10 inference(quant_inst,[status(thm)],[])).
% 24.36/16.10 tff(7583,plain,
% 24.36/16.10 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB41)) | v116(constB41)),
% 24.36/16.10 inference(modus_ponens,[status(thm)],[7582, 7581])).
% 24.36/16.10 tff(7584,plain,
% 24.36/16.10 (v116(constB41)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7583, 2652, 7580])).
% 24.36/16.10 tff(7585,plain,
% 24.36/16.10 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB41) | (~v116(constB41)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB41) | (~v116(constB41)))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7586,plain,
% 24.36/16.10 (((~v116(constB41)) | v115(constB41)) <=> (v115(constB41) | (~v116(constB41)))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7587,plain,
% 24.36/16.10 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB41)) | v115(constB41))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB41) | (~v116(constB41))))),
% 24.36/16.10 inference(monotonicity,[status(thm)],[7586])).
% 24.36/16.10 tff(7588,plain,
% 24.36/16.10 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB41)) | v115(constB41))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB41) | (~v116(constB41)))),
% 24.36/16.10 inference(transitivity,[status(thm)],[7587, 7585])).
% 24.36/16.10 tff(7589,plain,
% 24.36/16.10 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB41)) | v115(constB41))),
% 24.36/16.10 inference(quant_inst,[status(thm)],[])).
% 24.36/16.10 tff(7590,plain,
% 24.36/16.10 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB41) | (~v116(constB41))),
% 24.36/16.10 inference(modus_ponens,[status(thm)],[7589, 7588])).
% 24.36/16.10 tff(7591,plain,
% 24.36/16.10 (v115(constB41)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7590, 1008, 7584])).
% 24.36/16.10 tff(7592,plain,
% 24.36/16.10 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB41)) | v114(constB41))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB41)) | v114(constB41))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7593,plain,
% 24.36/16.10 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB41)) | v114(constB41))),
% 24.36/16.10 inference(quant_inst,[status(thm)],[])).
% 24.36/16.10 tff(7594,plain,
% 24.36/16.10 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB41)) | v114(constB41)),
% 24.36/16.10 inference(modus_ponens,[status(thm)],[7593, 7592])).
% 24.36/16.10 tff(7595,plain,
% 24.36/16.10 (v114(constB41)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7594, 1022, 7591])).
% 24.36/16.10 tff(7596,plain,
% 24.36/16.10 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB41)) | v113(constB41))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB41)) | v113(constB41))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7597,plain,
% 24.36/16.10 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB41)) | v113(constB41))),
% 24.36/16.10 inference(quant_inst,[status(thm)],[])).
% 24.36/16.10 tff(7598,plain,
% 24.36/16.10 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB41)) | v113(constB41)),
% 24.36/16.10 inference(modus_ponens,[status(thm)],[7597, 7596])).
% 24.36/16.10 tff(7599,plain,
% 24.36/16.10 (v113(constB41)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7598, 1036, 7595])).
% 24.36/16.10 tff(7600,assumption,(v26(constB41)), introduced(assumption)).
% 24.36/16.10 tff(7601,plain,
% 24.36/16.10 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB41))),
% 24.36/16.10 inference(quant_inst,[status(thm)],[])).
% 24.36/16.10 tff(7602,plain,
% 24.36/16.10 ($false),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7601, 797, 7600])).
% 24.36/16.10 tff(7603,plain,(~v26(constB41)), inference(lemma,lemma(discharge,[]))).
% 24.36/16.10 tff(7604,plain,
% 24.36/16.10 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB41) | (~v113(constB41)) | v112(constB41))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB41) | (~v113(constB41)) | v112(constB41))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7605,plain,
% 24.36/16.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB41) | (~v113(constB41)) | v112(constB41))),
% 24.36/16.10 inference(quant_inst,[status(thm)],[])).
% 24.36/16.10 tff(7606,plain,
% 24.36/16.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB41) | (~v113(constB41)) | v112(constB41)),
% 24.36/16.10 inference(modus_ponens,[status(thm)],[7605, 7604])).
% 24.36/16.10 tff(7607,plain,
% 24.36/16.10 ((~v113(constB41)) | v112(constB41)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7606, 1050, 7603])).
% 24.36/16.10 tff(7608,plain,
% 24.36/16.10 (v112(constB41)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7607, 7599])).
% 24.36/16.10 tff(7609,plain,
% 24.36/16.10 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB41) | (~v112(constB41)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v112(constB41)))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7610,plain,
% 24.36/16.10 (((~v112(constB41)) | v108(constB41)) <=> (v108(constB41) | (~v112(constB41)))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7611,plain,
% 24.36/16.10 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB41)) | v108(constB41))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB41) | (~v112(constB41))))),
% 24.36/16.10 inference(monotonicity,[status(thm)],[7610])).
% 24.36/16.10 tff(7612,plain,
% 24.36/16.10 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB41)) | v108(constB41))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v112(constB41)))),
% 24.36/16.10 inference(transitivity,[status(thm)],[7611, 7609])).
% 24.36/16.10 tff(7613,plain,
% 24.36/16.10 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB41)) | v108(constB41))),
% 24.36/16.10 inference(quant_inst,[status(thm)],[])).
% 24.36/16.10 tff(7614,plain,
% 24.36/16.10 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v112(constB41))),
% 24.36/16.10 inference(modus_ponens,[status(thm)],[7613, 7612])).
% 24.36/16.10 tff(7615,plain,
% 24.36/16.10 (v108(constB41)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7614, 1062, 7608])).
% 24.36/16.10 tff(7616,plain,
% 24.36/16.10 (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7617,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_41_1')).
% 24.36/16.10 tff(7618,plain,
% 24.36/16.10 (nextState(constB41, constB42)),
% 24.36/16.10 inference(modus_ponens,[status(thm)],[7617, 7616])).
% 24.36/16.10 tff(7619,plain,
% 24.36/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7620,plain,
% 24.36/16.10 (((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42)) <=> ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7621,plain,
% 24.36/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41))))),
% 24.36/16.10 inference(monotonicity,[status(thm)],[7620])).
% 24.36/16.10 tff(7622,plain,
% 24.36/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 24.36/16.10 inference(transitivity,[status(thm)],[7621, 7619])).
% 24.36/16.10 tff(7623,plain,
% 24.36/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))),
% 24.36/16.10 inference(quant_inst,[status(thm)],[])).
% 24.36/16.10 tff(7624,plain,
% 24.36/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41))),
% 24.36/16.10 inference(modus_ponens,[status(thm)],[7623, 7622])).
% 24.36/16.10 tff(7625,plain,
% 24.36/16.10 (v110(constB42) | (~v108(constB41))),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7624, 1082, 7618])).
% 24.36/16.10 tff(7626,plain,
% 24.36/16.10 (v110(constB42)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7625, 7615])).
% 24.36/16.10 tff(7627,plain,
% 24.36/16.10 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7628,plain,
% 24.36/16.10 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))),
% 24.36/16.10 inference(quant_inst,[status(thm)],[])).
% 24.36/16.10 tff(7629,plain,
% 24.36/16.10 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42))),
% 24.36/16.10 inference(modus_ponens,[status(thm)],[7628, 7627])).
% 24.36/16.10 tff(7630,plain,
% 24.36/16.10 (~v104(constB42)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7629, 1100, 7618, 7485])).
% 24.36/16.10 tff(7631,plain,
% 24.36/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7632,plain,
% 24.36/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))),
% 24.36/16.10 inference(quant_inst,[status(thm)],[])).
% 24.36/16.10 tff(7633,plain,
% 24.36/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v102(constB42) | v104(constB42)),
% 24.36/16.10 inference(modus_ponens,[status(thm)],[7632, 7631])).
% 24.36/16.10 tff(7634,plain,
% 24.36/16.10 (v102(constB42) | v104(constB42)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7633, 1114, 7618])).
% 24.36/16.10 tff(7635,plain,
% 24.36/16.10 (v102(constB42)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7634, 7630])).
% 24.36/16.10 tff(7636,plain,
% 24.36/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7637,plain,
% 24.36/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))),
% 24.36/16.10 inference(quant_inst,[status(thm)],[])).
% 24.36/16.10 tff(7638,plain,
% 24.36/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42))),
% 24.36/16.10 inference(modus_ponens,[status(thm)],[7637, 7636])).
% 24.36/16.10 tff(7639,plain,
% 24.36/16.10 (v101(constB42) | (~v102(constB42))),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7638, 1129, 7618, 504])).
% 24.36/16.10 tff(7640,plain,
% 24.36/16.10 (v101(constB42)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7639, 7635])).
% 24.36/16.10 tff(7641,plain,
% 24.36/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7642,plain,
% 24.36/16.10 (((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42)) <=> ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7643,plain,
% 24.36/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42))))),
% 24.36/16.10 inference(monotonicity,[status(thm)],[7642])).
% 24.36/16.10 tff(7644,plain,
% 24.36/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 24.36/16.10 inference(transitivity,[status(thm)],[7643, 7641])).
% 24.36/16.10 tff(7645,plain,
% 24.36/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))),
% 24.36/16.10 inference(quant_inst,[status(thm)],[])).
% 24.36/16.10 tff(7646,plain,
% 24.36/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 24.36/16.10 inference(modus_ponens,[status(thm)],[7645, 7644])).
% 24.36/16.10 tff(7647,plain,
% 24.36/16.10 (v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7646, 1144, 7618])).
% 24.36/16.10 tff(7648,plain,
% 24.36/16.10 (v100(constB42) | (~v110(constB42))),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7647, 7640])).
% 24.36/16.10 tff(7649,plain,
% 24.36/16.10 (v100(constB42)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7648, 7626])).
% 24.36/16.10 tff(7650,plain,
% 24.36/16.10 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB41)) | v130(constB41, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB41)) | v130(constB41, bitIndex2))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7651,plain,
% 24.36/16.10 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB41)) | v130(constB41, bitIndex2))),
% 24.36/16.10 inference(quant_inst,[status(thm)],[])).
% 24.36/16.10 tff(7652,plain,
% 24.36/16.10 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB41)) | v130(constB41, bitIndex2)),
% 24.36/16.10 inference(modus_ponens,[status(thm)],[7651, 7650])).
% 24.36/16.10 tff(7653,plain,
% 24.36/16.10 (v130(constB41, bitIndex2)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7652, 2736, 7580])).
% 24.36/16.10 tff(7654,plain,
% 24.36/16.10 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB41) | (~v130(constB41, bitIndex2)) | v127(constB41, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB41) | (~v130(constB41, bitIndex2)) | v127(constB41, bitIndex2))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7655,plain,
% 24.36/16.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB41) | (~v130(constB41, bitIndex2)) | v127(constB41, bitIndex2))),
% 24.36/16.10 inference(quant_inst,[status(thm)],[])).
% 24.36/16.10 tff(7656,plain,
% 24.36/16.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB41) | (~v130(constB41, bitIndex2)) | v127(constB41, bitIndex2)),
% 24.36/16.10 inference(modus_ponens,[status(thm)],[7655, 7654])).
% 24.36/16.10 tff(7657,plain,
% 24.36/16.10 ((~v130(constB41, bitIndex2)) | v127(constB41, bitIndex2)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7656, 1174, 7603])).
% 24.36/16.10 tff(7658,plain,
% 24.36/16.10 (v127(constB41, bitIndex2)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7657, 7653])).
% 24.36/16.10 tff(7659,plain,
% 24.36/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB41, constB42)) | (~v127(constB41, bitIndex2)) | v129(constB42, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB41, constB42)) | (~v127(constB41, bitIndex2)) | v129(constB42, bitIndex2))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7660,plain,
% 24.36/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB41, constB42)) | (~v127(constB41, bitIndex2)) | v129(constB42, bitIndex2))),
% 24.36/16.10 inference(quant_inst,[status(thm)],[])).
% 24.36/16.10 tff(7661,plain,
% 24.36/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB41, constB42)) | (~v127(constB41, bitIndex2)) | v129(constB42, bitIndex2)),
% 24.36/16.10 inference(modus_ponens,[status(thm)],[7660, 7659])).
% 24.36/16.10 tff(7662,plain,
% 24.36/16.10 ((~v127(constB41, bitIndex2)) | v129(constB42, bitIndex2)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7661, 1189, 7618])).
% 24.36/16.10 tff(7663,plain,
% 24.36/16.10 (v129(constB42, bitIndex2)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7662, 7658])).
% 24.36/16.10 tff(7664,plain,
% 24.36/16.10 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~v129(constB42, bitIndex2)) | (~v100(constB42)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~v129(constB42, bitIndex2)) | (~v100(constB42)))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7665,plain,
% 24.36/16.10 ((v90(constB42, bitIndex2) | (~v100(constB42)) | (~v129(constB42, bitIndex2))) <=> (v90(constB42, bitIndex2) | (~v129(constB42, bitIndex2)) | (~v100(constB42)))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7666,plain,
% 24.36/16.10 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~v100(constB42)) | (~v129(constB42, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~v129(constB42, bitIndex2)) | (~v100(constB42))))),
% 24.36/16.10 inference(monotonicity,[status(thm)],[7665])).
% 24.36/16.10 tff(7667,plain,
% 24.36/16.10 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~v100(constB42)) | (~v129(constB42, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~v129(constB42, bitIndex2)) | (~v100(constB42)))),
% 24.36/16.10 inference(transitivity,[status(thm)],[7666, 7664])).
% 24.36/16.10 tff(7668,plain,
% 24.36/16.10 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~v100(constB42)) | (~v129(constB42, bitIndex2)))),
% 24.36/16.10 inference(quant_inst,[status(thm)],[])).
% 24.36/16.10 tff(7669,plain,
% 24.36/16.10 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~v129(constB42, bitIndex2)) | (~v100(constB42))),
% 24.36/16.10 inference(modus_ponens,[status(thm)],[7668, 7667])).
% 24.36/16.10 tff(7670,plain,
% 24.36/16.10 (v90(constB42, bitIndex2) | (~v100(constB42))),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7669, 1204, 7663])).
% 24.36/16.10 tff(7671,plain,
% 24.36/16.10 (v90(constB42, bitIndex2)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7670, 7649])).
% 24.36/16.10 tff(7672,plain,
% 24.36/16.10 ((~v1(constB43)) <=> (~v1(constB43))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7673,axiom,(~v1(constB43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_43_1_1')).
% 24.36/16.10 tff(7674,plain,
% 24.36/16.10 (~v1(constB43)),
% 24.36/16.10 inference(modus_ponens,[status(thm)],[7673, 7672])).
% 24.36/16.10 tff(7675,plain,
% 24.36/16.10 (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7676,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_42_1')).
% 24.36/16.10 tff(7677,plain,
% 24.36/16.10 (nextState(constB42, constB43)),
% 24.36/16.10 inference(modus_ponens,[status(thm)],[7676, 7675])).
% 24.36/16.10 tff(7678,plain,
% 24.36/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7679,plain,
% 24.36/16.10 (((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43)) <=> (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7680,plain,
% 24.36/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43))))),
% 24.36/16.10 inference(monotonicity,[status(thm)],[7679])).
% 24.36/16.10 tff(7681,plain,
% 24.36/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 24.36/16.10 inference(transitivity,[status(thm)],[7680, 7678])).
% 24.36/16.10 tff(7682,plain,
% 24.36/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))),
% 24.36/16.10 inference(quant_inst,[status(thm)],[])).
% 24.36/16.10 tff(7683,plain,
% 24.36/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43))),
% 24.36/16.10 inference(modus_ponens,[status(thm)],[7682, 7681])).
% 24.36/16.10 tff(7684,plain,
% 24.36/16.10 (~v101(constB43)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7683, 860, 7677, 7674])).
% 24.36/16.10 tff(7685,plain,
% 24.36/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7686,plain,
% 24.36/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))),
% 24.36/16.10 inference(quant_inst,[status(thm)],[])).
% 24.36/16.10 tff(7687,plain,
% 24.36/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43))),
% 24.36/16.10 inference(modus_ponens,[status(thm)],[7686, 7685])).
% 24.36/16.10 tff(7688,plain,
% 24.36/16.10 (v101(constB43) | (~v100(constB43))),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7687, 877, 7677])).
% 24.36/16.10 tff(7689,plain,
% 24.36/16.10 (~v100(constB43)),
% 24.36/16.10 inference(unit_resolution,[status(thm)],[7688, 7684])).
% 24.36/16.10 tff(7690,plain,
% 24.36/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex2))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7691,plain,
% 24.36/16.10 (((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex2)) | v100(constB43) | v90(constB43, bitIndex2)) <=> ((~v90(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex2))),
% 24.36/16.10 inference(rewrite,[status(thm)],[])).
% 24.36/16.10 tff(7692,plain,
% 24.36/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex2)) | v100(constB43) | v90(constB43, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex2)))),
% 24.36/16.10 inference(monotonicity,[status(thm)],[7691])).
% 24.36/16.10 tff(7693,plain,
% 24.36/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex2)) | v100(constB43) | v90(constB43, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex2))),
% 24.36/16.10 inference(transitivity,[status(thm)],[7692, 7690])).
% 24.36/16.10 tff(7694,plain,
% 24.36/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex2)) | v100(constB43) | v90(constB43, bitIndex2))),
% 24.36/16.10 inference(quant_inst,[status(thm)],[])).
% 24.36/16.10 tff(7695,plain,
% 24.36/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex2)),
% 24.36/16.11 inference(modus_ponens,[status(thm)],[7694, 7693])).
% 24.36/16.11 tff(7696,plain,
% 24.36/16.11 ((~v90(constB42, bitIndex2)) | v100(constB43) | v90(constB43, bitIndex2)),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7695, 1240, 7677])).
% 24.36/16.11 tff(7697,plain,
% 24.36/16.11 ((~v90(constB42, bitIndex2)) | v90(constB43, bitIndex2)),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7696, 7689])).
% 24.36/16.11 tff(7698,plain,
% 24.36/16.11 (v90(constB43, bitIndex2)),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7697, 7671])).
% 24.36/16.11 tff(7699,plain,
% 24.36/16.11 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB41)) | (~v130(constB41, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB41)) | (~v130(constB41, bitIndex0)))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7700,plain,
% 24.36/16.11 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB41)) | (~v130(constB41, bitIndex0)))),
% 24.36/16.11 inference(quant_inst,[status(thm)],[])).
% 24.36/16.11 tff(7701,plain,
% 24.36/16.11 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB41)) | (~v130(constB41, bitIndex0))),
% 24.36/16.11 inference(modus_ponens,[status(thm)],[7700, 7699])).
% 24.36/16.11 tff(7702,plain,
% 24.36/16.11 (~v130(constB41, bitIndex0)),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7701, 2833, 7580])).
% 24.36/16.11 tff(7703,plain,
% 24.36/16.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB41, bitIndex0)) | v26(constB41) | v130(constB41, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB41, bitIndex0)) | v26(constB41) | v130(constB41, bitIndex0))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7704,plain,
% 24.36/16.11 ((v26(constB41) | v130(constB41, bitIndex0) | (~v127(constB41, bitIndex0))) <=> ((~v127(constB41, bitIndex0)) | v26(constB41) | v130(constB41, bitIndex0))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7705,plain,
% 24.36/16.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB41) | v130(constB41, bitIndex0) | (~v127(constB41, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB41, bitIndex0)) | v26(constB41) | v130(constB41, bitIndex0)))),
% 24.36/16.11 inference(monotonicity,[status(thm)],[7704])).
% 24.36/16.11 tff(7706,plain,
% 24.36/16.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB41) | v130(constB41, bitIndex0) | (~v127(constB41, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB41, bitIndex0)) | v26(constB41) | v130(constB41, bitIndex0))),
% 24.36/16.11 inference(transitivity,[status(thm)],[7705, 7703])).
% 24.36/16.11 tff(7707,plain,
% 24.36/16.11 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB41) | v130(constB41, bitIndex0) | (~v127(constB41, bitIndex0)))),
% 24.36/16.11 inference(quant_inst,[status(thm)],[])).
% 24.36/16.11 tff(7708,plain,
% 24.36/16.11 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB41, bitIndex0)) | v26(constB41) | v130(constB41, bitIndex0)),
% 24.36/16.11 inference(modus_ponens,[status(thm)],[7707, 7706])).
% 24.36/16.11 tff(7709,plain,
% 24.36/16.11 ((~v127(constB41, bitIndex0)) | v130(constB41, bitIndex0)),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7708, 1341, 7603])).
% 24.36/16.11 tff(7710,plain,
% 24.36/16.11 (~v127(constB41, bitIndex0)),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7709, 7702])).
% 24.36/16.11 tff(7711,plain,
% 24.36/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB41, constB42)) | v127(constB41, bitIndex0) | (~v129(constB42, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB41, constB42)) | v127(constB41, bitIndex0) | (~v129(constB42, bitIndex0)))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7712,plain,
% 24.36/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB41, constB42)) | v127(constB41, bitIndex0) | (~v129(constB42, bitIndex0)))),
% 24.36/16.11 inference(quant_inst,[status(thm)],[])).
% 24.36/16.11 tff(7713,plain,
% 24.36/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB41, constB42)) | v127(constB41, bitIndex0) | (~v129(constB42, bitIndex0))),
% 24.36/16.11 inference(modus_ponens,[status(thm)],[7712, 7711])).
% 24.36/16.11 tff(7714,plain,
% 24.36/16.11 (v127(constB41, bitIndex0) | (~v129(constB42, bitIndex0))),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7713, 1359, 7618])).
% 24.36/16.11 tff(7715,plain,
% 24.36/16.11 (~v129(constB42, bitIndex0)),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7714, 7710])).
% 24.36/16.11 tff(7716,plain,
% 24.36/16.11 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB42, bitIndex0)) | v129(constB42, bitIndex0) | (~v100(constB42)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB42, bitIndex0)) | v129(constB42, bitIndex0) | (~v100(constB42)))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7717,plain,
% 24.36/16.11 (((~v90(constB42, bitIndex0)) | (~v100(constB42)) | v129(constB42, bitIndex0)) <=> ((~v90(constB42, bitIndex0)) | v129(constB42, bitIndex0) | (~v100(constB42)))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7718,plain,
% 24.36/16.11 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB42, bitIndex0)) | (~v100(constB42)) | v129(constB42, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB42, bitIndex0)) | v129(constB42, bitIndex0) | (~v100(constB42))))),
% 24.36/16.11 inference(monotonicity,[status(thm)],[7717])).
% 24.36/16.11 tff(7719,plain,
% 24.36/16.11 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB42, bitIndex0)) | (~v100(constB42)) | v129(constB42, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB42, bitIndex0)) | v129(constB42, bitIndex0) | (~v100(constB42)))),
% 24.36/16.11 inference(transitivity,[status(thm)],[7718, 7716])).
% 24.36/16.11 tff(7720,plain,
% 24.36/16.11 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB42, bitIndex0)) | (~v100(constB42)) | v129(constB42, bitIndex0))),
% 24.36/16.11 inference(quant_inst,[status(thm)],[])).
% 24.36/16.11 tff(7721,plain,
% 24.36/16.11 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB42, bitIndex0)) | v129(constB42, bitIndex0) | (~v100(constB42))),
% 24.36/16.11 inference(modus_ponens,[status(thm)],[7720, 7719])).
% 24.36/16.11 tff(7722,plain,
% 24.36/16.11 ((~v90(constB42, bitIndex0)) | (~v100(constB42))),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7721, 1374, 7715])).
% 24.36/16.11 tff(7723,plain,
% 24.36/16.11 (~v90(constB42, bitIndex0)),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7722, 7649])).
% 24.36/16.11 tff(7724,plain,
% 24.36/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex0)))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7725,plain,
% 24.36/16.11 (((~nextState(constB42, constB43)) | v90(constB42, bitIndex0) | v100(constB43) | (~v90(constB43, bitIndex0))) <=> (v90(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex0)))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7726,plain,
% 24.36/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex0) | v100(constB43) | (~v90(constB43, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex0))))),
% 24.36/16.11 inference(monotonicity,[status(thm)],[7725])).
% 24.36/16.11 tff(7727,plain,
% 24.36/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex0) | v100(constB43) | (~v90(constB43, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex0)))),
% 24.36/16.11 inference(transitivity,[status(thm)],[7726, 7724])).
% 24.36/16.11 tff(7728,plain,
% 24.36/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex0) | v100(constB43) | (~v90(constB43, bitIndex0)))),
% 24.36/16.11 inference(quant_inst,[status(thm)],[])).
% 24.36/16.11 tff(7729,plain,
% 24.36/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex0))),
% 24.36/16.11 inference(modus_ponens,[status(thm)],[7728, 7727])).
% 24.36/16.11 tff(7730,plain,
% 24.36/16.11 (v90(constB42, bitIndex0) | v100(constB43) | (~v90(constB43, bitIndex0))),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7729, 934, 7677])).
% 24.36/16.11 tff(7731,plain,
% 24.36/16.11 (v90(constB42, bitIndex0) | (~v90(constB43, bitIndex0))),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7730, 7689])).
% 24.36/16.11 tff(7732,plain,
% 24.36/16.11 (~v90(constB43, bitIndex0)),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7731, 7723])).
% 24.36/16.11 tff(7733,plain,
% 24.36/16.11 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB41)) | (~v130(constB41, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB41)) | (~v130(constB41, bitIndex1)))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7734,plain,
% 24.36/16.11 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB41)) | (~v130(constB41, bitIndex1)))),
% 24.36/16.11 inference(quant_inst,[status(thm)],[])).
% 24.36/16.11 tff(7735,plain,
% 24.36/16.11 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB41)) | (~v130(constB41, bitIndex1))),
% 24.36/16.11 inference(modus_ponens,[status(thm)],[7734, 7733])).
% 24.36/16.11 tff(7736,plain,
% 24.36/16.11 (~v130(constB41, bitIndex1)),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7735, 2792, 7580])).
% 24.36/16.11 tff(7737,plain,
% 24.36/16.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB41, bitIndex1)) | v26(constB41) | v130(constB41, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB41, bitIndex1)) | v26(constB41) | v130(constB41, bitIndex1))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7738,plain,
% 24.36/16.11 ((v26(constB41) | v130(constB41, bitIndex1) | (~v127(constB41, bitIndex1))) <=> ((~v127(constB41, bitIndex1)) | v26(constB41) | v130(constB41, bitIndex1))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7739,plain,
% 24.36/16.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB41) | v130(constB41, bitIndex1) | (~v127(constB41, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB41, bitIndex1)) | v26(constB41) | v130(constB41, bitIndex1)))),
% 24.36/16.11 inference(monotonicity,[status(thm)],[7738])).
% 24.36/16.11 tff(7740,plain,
% 24.36/16.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB41) | v130(constB41, bitIndex1) | (~v127(constB41, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB41, bitIndex1)) | v26(constB41) | v130(constB41, bitIndex1))),
% 24.36/16.11 inference(transitivity,[status(thm)],[7739, 7737])).
% 24.36/16.11 tff(7741,plain,
% 24.36/16.11 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB41) | v130(constB41, bitIndex1) | (~v127(constB41, bitIndex1)))),
% 24.36/16.11 inference(quant_inst,[status(thm)],[])).
% 24.36/16.11 tff(7742,plain,
% 24.36/16.11 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB41, bitIndex1)) | v26(constB41) | v130(constB41, bitIndex1)),
% 24.36/16.11 inference(modus_ponens,[status(thm)],[7741, 7740])).
% 24.36/16.11 tff(7743,plain,
% 24.36/16.11 ((~v127(constB41, bitIndex1)) | v130(constB41, bitIndex1)),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7742, 1270, 7603])).
% 24.36/16.11 tff(7744,plain,
% 24.36/16.11 (~v127(constB41, bitIndex1)),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7743, 7736])).
% 24.36/16.11 tff(7745,plain,
% 24.36/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB41, constB42)) | v127(constB41, bitIndex1) | (~v129(constB42, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB41, constB42)) | v127(constB41, bitIndex1) | (~v129(constB42, bitIndex1)))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7746,plain,
% 24.36/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB41, constB42)) | v127(constB41, bitIndex1) | (~v129(constB42, bitIndex1)))),
% 24.36/16.11 inference(quant_inst,[status(thm)],[])).
% 24.36/16.11 tff(7747,plain,
% 24.36/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB41, constB42)) | v127(constB41, bitIndex1) | (~v129(constB42, bitIndex1))),
% 24.36/16.11 inference(modus_ponens,[status(thm)],[7746, 7745])).
% 24.36/16.11 tff(7748,plain,
% 24.36/16.11 (v127(constB41, bitIndex1) | (~v129(constB42, bitIndex1))),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7747, 1288, 7618])).
% 24.36/16.11 tff(7749,plain,
% 24.36/16.11 (~v129(constB42, bitIndex1)),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7748, 7744])).
% 24.36/16.11 tff(7750,plain,
% 24.36/16.11 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB42, bitIndex1)) | v129(constB42, bitIndex1) | (~v100(constB42)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB42, bitIndex1)) | v129(constB42, bitIndex1) | (~v100(constB42)))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7751,plain,
% 24.36/16.11 (((~v90(constB42, bitIndex1)) | (~v100(constB42)) | v129(constB42, bitIndex1)) <=> ((~v90(constB42, bitIndex1)) | v129(constB42, bitIndex1) | (~v100(constB42)))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7752,plain,
% 24.36/16.11 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB42, bitIndex1)) | (~v100(constB42)) | v129(constB42, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB42, bitIndex1)) | v129(constB42, bitIndex1) | (~v100(constB42))))),
% 24.36/16.11 inference(monotonicity,[status(thm)],[7751])).
% 24.36/16.11 tff(7753,plain,
% 24.36/16.11 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB42, bitIndex1)) | (~v100(constB42)) | v129(constB42, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB42, bitIndex1)) | v129(constB42, bitIndex1) | (~v100(constB42)))),
% 24.36/16.11 inference(transitivity,[status(thm)],[7752, 7750])).
% 24.36/16.11 tff(7754,plain,
% 24.36/16.11 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB42, bitIndex1)) | (~v100(constB42)) | v129(constB42, bitIndex1))),
% 24.36/16.11 inference(quant_inst,[status(thm)],[])).
% 24.36/16.11 tff(7755,plain,
% 24.36/16.11 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB42, bitIndex1)) | v129(constB42, bitIndex1) | (~v100(constB42))),
% 24.36/16.11 inference(modus_ponens,[status(thm)],[7754, 7753])).
% 24.36/16.11 tff(7756,plain,
% 24.36/16.11 ((~v90(constB42, bitIndex1)) | (~v100(constB42))),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7755, 1303, 7749])).
% 24.36/16.11 tff(7757,plain,
% 24.36/16.11 (~v90(constB42, bitIndex1)),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7756, 7649])).
% 24.36/16.11 tff(7758,plain,
% 24.36/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex1)))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7759,plain,
% 24.36/16.11 (((~nextState(constB42, constB43)) | v90(constB42, bitIndex1) | v100(constB43) | (~v90(constB43, bitIndex1))) <=> (v90(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex1)))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7760,plain,
% 24.36/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex1) | v100(constB43) | (~v90(constB43, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex1))))),
% 24.36/16.11 inference(monotonicity,[status(thm)],[7759])).
% 24.36/16.11 tff(7761,plain,
% 24.36/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex1) | v100(constB43) | (~v90(constB43, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex1)))),
% 24.36/16.11 inference(transitivity,[status(thm)],[7760, 7758])).
% 24.36/16.11 tff(7762,plain,
% 24.36/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex1) | v100(constB43) | (~v90(constB43, bitIndex1)))),
% 24.36/16.11 inference(quant_inst,[status(thm)],[])).
% 24.36/16.11 tff(7763,plain,
% 24.36/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex1))),
% 24.36/16.11 inference(modus_ponens,[status(thm)],[7762, 7761])).
% 24.36/16.11 tff(7764,plain,
% 24.36/16.11 (v90(constB42, bitIndex1) | v100(constB43) | (~v90(constB43, bitIndex1))),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7763, 913, 7677])).
% 24.36/16.11 tff(7765,plain,
% 24.36/16.11 (v90(constB42, bitIndex1) | (~v90(constB43, bitIndex1))),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7764, 7689])).
% 24.36/16.11 tff(7766,plain,
% 24.36/16.11 (~v90(constB43, bitIndex1)),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7765, 7757])).
% 24.36/16.11 tff(7767,assumption,(~v123(constB43)), introduced(assumption)).
% 24.36/16.11 tff(7768,plain,
% 24.36/16.11 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2)) | v123(constB43))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2)) | v123(constB43))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7769,plain,
% 24.36/16.11 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2)) | v123(constB43))),
% 24.36/16.11 inference(quant_inst,[status(thm)],[])).
% 24.36/16.11 tff(7770,plain,
% 24.36/16.11 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2)) | v123(constB43)),
% 24.36/16.11 inference(modus_ponens,[status(thm)],[7769, 7768])).
% 24.36/16.11 tff(7771,plain,
% 24.36/16.11 (v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2))),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7770, 1401, 7767])).
% 24.36/16.11 tff(7772,plain,
% 24.36/16.11 ($false),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7771, 7766, 7732, 7698])).
% 24.36/16.11 tff(7773,plain,((~v122(constB41)) | v123(constB43)), inference(lemma,lemma(discharge,[]))).
% 24.36/16.11 tff(7774,plain,
% 24.36/16.11 (v123(constB43)),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7773, 7579])).
% 24.36/16.11 tff(7775,assumption,(v123(constB43)), introduced(assumption)).
% 24.36/16.11 tff(7776,plain,
% 24.36/16.11 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB43)) | v115(constB43))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB43)) | v115(constB43))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7777,plain,
% 24.36/16.11 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB43)) | v115(constB43))),
% 24.36/16.11 inference(quant_inst,[status(thm)],[])).
% 24.36/16.11 tff(7778,plain,
% 24.36/16.11 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB43)) | v115(constB43)),
% 24.36/16.11 inference(modus_ponens,[status(thm)],[7777, 7776])).
% 24.36/16.11 tff(7779,plain,
% 24.36/16.11 (v115(constB43)),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7778, 1412, 7775])).
% 24.36/16.11 tff(7780,plain,
% 24.36/16.11 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB43) | (~v115(constB43)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB43) | (~v115(constB43)))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7781,plain,
% 24.36/16.11 (((~v115(constB43)) | v114(constB43)) <=> (v114(constB43) | (~v115(constB43)))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7782,plain,
% 24.36/16.11 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB43)) | v114(constB43))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB43) | (~v115(constB43))))),
% 24.36/16.11 inference(monotonicity,[status(thm)],[7781])).
% 24.36/16.11 tff(7783,plain,
% 24.36/16.11 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB43)) | v114(constB43))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB43) | (~v115(constB43)))),
% 24.36/16.11 inference(transitivity,[status(thm)],[7782, 7780])).
% 24.36/16.11 tff(7784,plain,
% 24.36/16.11 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB43)) | v114(constB43))),
% 24.36/16.11 inference(quant_inst,[status(thm)],[])).
% 24.36/16.11 tff(7785,plain,
% 24.36/16.11 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB43) | (~v115(constB43))),
% 24.36/16.11 inference(modus_ponens,[status(thm)],[7784, 7783])).
% 24.36/16.11 tff(7786,plain,
% 24.36/16.11 (v114(constB43)),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7785, 1022, 7779])).
% 24.36/16.11 tff(7787,plain,
% 24.36/16.11 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB43) | (~v114(constB43)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB43) | (~v114(constB43)))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7788,plain,
% 24.36/16.11 (((~v114(constB43)) | v113(constB43)) <=> (v113(constB43) | (~v114(constB43)))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7789,plain,
% 24.36/16.11 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB43)) | v113(constB43))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB43) | (~v114(constB43))))),
% 24.36/16.11 inference(monotonicity,[status(thm)],[7788])).
% 24.36/16.11 tff(7790,plain,
% 24.36/16.11 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB43)) | v113(constB43))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB43) | (~v114(constB43)))),
% 24.36/16.11 inference(transitivity,[status(thm)],[7789, 7787])).
% 24.36/16.11 tff(7791,plain,
% 24.36/16.11 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB43)) | v113(constB43))),
% 24.36/16.11 inference(quant_inst,[status(thm)],[])).
% 24.36/16.11 tff(7792,plain,
% 24.36/16.11 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB43) | (~v114(constB43))),
% 24.36/16.11 inference(modus_ponens,[status(thm)],[7791, 7790])).
% 24.36/16.11 tff(7793,plain,
% 24.36/16.11 (v113(constB43)),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7792, 1036, 7786])).
% 24.36/16.11 tff(7794,assumption,(v26(constB43)), introduced(assumption)).
% 24.36/16.11 tff(7795,plain,
% 24.36/16.11 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB43))),
% 24.36/16.11 inference(quant_inst,[status(thm)],[])).
% 24.36/16.11 tff(7796,plain,
% 24.36/16.11 ($false),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7795, 797, 7794])).
% 24.36/16.11 tff(7797,plain,(~v26(constB43)), inference(lemma,lemma(discharge,[]))).
% 24.36/16.11 tff(7798,plain,
% 24.36/16.11 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | (~v113(constB43)) | v112(constB43))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7799,plain,
% 24.36/16.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))),
% 24.36/16.11 inference(quant_inst,[status(thm)],[])).
% 24.36/16.11 tff(7800,plain,
% 24.36/16.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | (~v113(constB43)) | v112(constB43)),
% 24.36/16.11 inference(modus_ponens,[status(thm)],[7799, 7798])).
% 24.36/16.11 tff(7801,plain,
% 24.36/16.11 ((~v113(constB43)) | v112(constB43)),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7800, 1050, 7797])).
% 24.36/16.11 tff(7802,plain,
% 24.36/16.11 (v112(constB43)),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7801, 7793])).
% 24.36/16.11 tff(7803,plain,
% 24.36/16.11 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB43) | (~v112(constB43)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v112(constB43)))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7804,plain,
% 24.36/16.11 (((~v112(constB43)) | v108(constB43)) <=> (v108(constB43) | (~v112(constB43)))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7805,plain,
% 24.36/16.11 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB43)) | v108(constB43))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB43) | (~v112(constB43))))),
% 24.36/16.11 inference(monotonicity,[status(thm)],[7804])).
% 24.36/16.11 tff(7806,plain,
% 24.36/16.11 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB43)) | v108(constB43))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v112(constB43)))),
% 24.36/16.11 inference(transitivity,[status(thm)],[7805, 7803])).
% 24.36/16.11 tff(7807,plain,
% 24.36/16.11 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB43)) | v108(constB43))),
% 24.36/16.11 inference(quant_inst,[status(thm)],[])).
% 24.36/16.11 tff(7808,plain,
% 24.36/16.11 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v112(constB43))),
% 24.36/16.11 inference(modus_ponens,[status(thm)],[7807, 7806])).
% 24.36/16.11 tff(7809,plain,
% 24.36/16.11 (v108(constB43)),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7808, 1062, 7802])).
% 24.36/16.11 tff(7810,plain,
% 24.36/16.11 (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7811,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_43_1')).
% 24.36/16.11 tff(7812,plain,
% 24.36/16.11 (nextState(constB43, constB44)),
% 24.36/16.11 inference(modus_ponens,[status(thm)],[7811, 7810])).
% 24.36/16.11 tff(7813,plain,
% 24.36/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7814,plain,
% 24.36/16.11 (((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44)) <=> ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7815,plain,
% 24.36/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43))))),
% 24.36/16.11 inference(monotonicity,[status(thm)],[7814])).
% 24.36/16.11 tff(7816,plain,
% 24.36/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 24.36/16.11 inference(transitivity,[status(thm)],[7815, 7813])).
% 24.36/16.11 tff(7817,plain,
% 24.36/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))),
% 24.36/16.11 inference(quant_inst,[status(thm)],[])).
% 24.36/16.11 tff(7818,plain,
% 24.36/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43))),
% 24.36/16.11 inference(modus_ponens,[status(thm)],[7817, 7816])).
% 24.36/16.11 tff(7819,plain,
% 24.36/16.11 (v110(constB44) | (~v108(constB43))),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7818, 1082, 7812])).
% 24.36/16.11 tff(7820,plain,
% 24.36/16.11 (v110(constB44)),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7819, 7809])).
% 24.36/16.11 tff(7821,plain,
% 24.36/16.11 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))),
% 24.36/16.11 inference(rewrite,[status(thm)],[])).
% 24.36/16.11 tff(7822,plain,
% 24.36/16.11 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))),
% 24.36/16.11 inference(quant_inst,[status(thm)],[])).
% 24.36/16.11 tff(7823,plain,
% 24.36/16.11 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44))),
% 24.36/16.11 inference(modus_ponens,[status(thm)],[7822, 7821])).
% 24.36/16.11 tff(7824,plain,
% 24.36/16.11 (~v104(constB44)),
% 24.36/16.11 inference(unit_resolution,[status(thm)],[7823, 1100, 7812, 7674])).
% 24.36/16.11 tff(7825,plain,
% 24.36/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7826,plain,
% 24.36/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))),
% 24.36/16.12 inference(quant_inst,[status(thm)],[])).
% 24.36/16.12 tff(7827,plain,
% 24.36/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v102(constB44) | v104(constB44)),
% 24.36/16.12 inference(modus_ponens,[status(thm)],[7826, 7825])).
% 24.36/16.12 tff(7828,plain,
% 24.36/16.12 (v102(constB44) | v104(constB44)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7827, 1114, 7812])).
% 24.36/16.12 tff(7829,plain,
% 24.36/16.12 (v102(constB44)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7828, 7824])).
% 24.36/16.12 tff(7830,plain,
% 24.36/16.12 (v1(constB44) <=> v1(constB44)),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7831,axiom,(v1(constB44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_44_1')).
% 24.36/16.12 tff(7832,plain,
% 24.36/16.12 (v1(constB44)),
% 24.36/16.12 inference(modus_ponens,[status(thm)],[7831, 7830])).
% 24.36/16.12 tff(7833,plain,
% 24.36/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7834,plain,
% 24.36/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))),
% 24.36/16.12 inference(quant_inst,[status(thm)],[])).
% 24.36/16.12 tff(7835,plain,
% 24.36/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44))),
% 24.36/16.12 inference(modus_ponens,[status(thm)],[7834, 7833])).
% 24.36/16.12 tff(7836,plain,
% 24.36/16.12 (v101(constB44) | (~v102(constB44))),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7835, 1129, 7812, 7832])).
% 24.36/16.12 tff(7837,plain,
% 24.36/16.12 (v101(constB44)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7836, 7829])).
% 24.36/16.12 tff(7838,plain,
% 24.36/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7839,plain,
% 24.36/16.12 (((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44)) <=> ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7840,plain,
% 24.36/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44))))),
% 24.36/16.12 inference(monotonicity,[status(thm)],[7839])).
% 24.36/16.12 tff(7841,plain,
% 24.36/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 24.36/16.12 inference(transitivity,[status(thm)],[7840, 7838])).
% 24.36/16.12 tff(7842,plain,
% 24.36/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))),
% 24.36/16.12 inference(quant_inst,[status(thm)],[])).
% 24.36/16.12 tff(7843,plain,
% 24.36/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 24.36/16.12 inference(modus_ponens,[status(thm)],[7842, 7841])).
% 24.36/16.12 tff(7844,plain,
% 24.36/16.12 (v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7843, 1144, 7812])).
% 24.36/16.12 tff(7845,plain,
% 24.36/16.12 (v100(constB44) | (~v110(constB44))),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7844, 7837])).
% 24.36/16.12 tff(7846,plain,
% 24.36/16.12 (v100(constB44)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7845, 7820])).
% 24.36/16.12 tff(7847,plain,
% 24.36/16.12 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB43)) | v130(constB43, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB43)) | v130(constB43, bitIndex2))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7848,plain,
% 24.36/16.12 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB43)) | v130(constB43, bitIndex2))),
% 24.36/16.12 inference(quant_inst,[status(thm)],[])).
% 24.36/16.12 tff(7849,plain,
% 24.36/16.12 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB43)) | v130(constB43, bitIndex2)),
% 24.36/16.12 inference(modus_ponens,[status(thm)],[7848, 7847])).
% 24.36/16.12 tff(7850,plain,
% 24.36/16.12 (v130(constB43, bitIndex2)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7849, 1483, 7775])).
% 24.36/16.12 tff(7851,plain,
% 24.36/16.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7852,plain,
% 24.36/16.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2))),
% 24.36/16.12 inference(quant_inst,[status(thm)],[])).
% 24.36/16.12 tff(7853,plain,
% 24.36/16.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2)),
% 24.36/16.12 inference(modus_ponens,[status(thm)],[7852, 7851])).
% 24.36/16.12 tff(7854,plain,
% 24.36/16.12 ((~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7853, 1174, 7797])).
% 24.36/16.12 tff(7855,plain,
% 24.36/16.12 (v127(constB43, bitIndex2)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7854, 7850])).
% 24.36/16.12 tff(7856,plain,
% 24.36/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7857,plain,
% 24.36/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2))),
% 24.36/16.12 inference(quant_inst,[status(thm)],[])).
% 24.36/16.12 tff(7858,plain,
% 24.36/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2)),
% 24.36/16.12 inference(modus_ponens,[status(thm)],[7857, 7856])).
% 24.36/16.12 tff(7859,plain,
% 24.36/16.12 ((~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7858, 1189, 7812])).
% 24.36/16.12 tff(7860,plain,
% 24.36/16.12 (v129(constB44, bitIndex2)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7859, 7855])).
% 24.36/16.12 tff(7861,plain,
% 24.36/16.12 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7862,plain,
% 24.36/16.12 ((v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2))) <=> (v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7863,plain,
% 24.36/16.12 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44))))),
% 24.36/16.12 inference(monotonicity,[status(thm)],[7862])).
% 24.36/16.12 tff(7864,plain,
% 24.36/16.12 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))),
% 24.36/16.12 inference(transitivity,[status(thm)],[7863, 7861])).
% 24.36/16.12 tff(7865,plain,
% 24.36/16.12 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2)))),
% 24.36/16.12 inference(quant_inst,[status(thm)],[])).
% 24.36/16.12 tff(7866,plain,
% 24.36/16.12 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44))),
% 24.36/16.12 inference(modus_ponens,[status(thm)],[7865, 7864])).
% 24.36/16.12 tff(7867,plain,
% 24.36/16.12 (v90(constB44, bitIndex2) | (~v100(constB44))),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7866, 1204, 7860])).
% 24.36/16.12 tff(7868,plain,
% 24.36/16.12 (v90(constB44, bitIndex2)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7867, 7846])).
% 24.36/16.12 tff(7869,plain,
% 24.36/16.12 ((~v1(constB45)) <=> (~v1(constB45))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7870,axiom,(~v1(constB45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_45_1_1')).
% 24.36/16.12 tff(7871,plain,
% 24.36/16.12 (~v1(constB45)),
% 24.36/16.12 inference(modus_ponens,[status(thm)],[7870, 7869])).
% 24.36/16.12 tff(7872,plain,
% 24.36/16.12 (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7873,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_44_1')).
% 24.36/16.12 tff(7874,plain,
% 24.36/16.12 (nextState(constB44, constB45)),
% 24.36/16.12 inference(modus_ponens,[status(thm)],[7873, 7872])).
% 24.36/16.12 tff(7875,plain,
% 24.36/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7876,plain,
% 24.36/16.12 (((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45)) <=> (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7877,plain,
% 24.36/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45))))),
% 24.36/16.12 inference(monotonicity,[status(thm)],[7876])).
% 24.36/16.12 tff(7878,plain,
% 24.36/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 24.36/16.12 inference(transitivity,[status(thm)],[7877, 7875])).
% 24.36/16.12 tff(7879,plain,
% 24.36/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))),
% 24.36/16.12 inference(quant_inst,[status(thm)],[])).
% 24.36/16.12 tff(7880,plain,
% 24.36/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45))),
% 24.36/16.12 inference(modus_ponens,[status(thm)],[7879, 7878])).
% 24.36/16.12 tff(7881,plain,
% 24.36/16.12 (~v101(constB45)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7880, 860, 7874, 7871])).
% 24.36/16.12 tff(7882,plain,
% 24.36/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7883,plain,
% 24.36/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))),
% 24.36/16.12 inference(quant_inst,[status(thm)],[])).
% 24.36/16.12 tff(7884,plain,
% 24.36/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45))),
% 24.36/16.12 inference(modus_ponens,[status(thm)],[7883, 7882])).
% 24.36/16.12 tff(7885,plain,
% 24.36/16.12 (v101(constB45) | (~v100(constB45))),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7884, 877, 7874])).
% 24.36/16.12 tff(7886,plain,
% 24.36/16.12 (~v100(constB45)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7885, 7881])).
% 24.36/16.12 tff(7887,plain,
% 24.36/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7888,plain,
% 24.36/16.12 (((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2)) <=> ((~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7889,plain,
% 24.36/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2)))),
% 24.36/16.12 inference(monotonicity,[status(thm)],[7888])).
% 24.36/16.12 tff(7890,plain,
% 24.36/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))),
% 24.36/16.12 inference(transitivity,[status(thm)],[7889, 7887])).
% 24.36/16.12 tff(7891,plain,
% 24.36/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2))),
% 24.36/16.12 inference(quant_inst,[status(thm)],[])).
% 24.36/16.12 tff(7892,plain,
% 24.36/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2)),
% 24.36/16.12 inference(modus_ponens,[status(thm)],[7891, 7890])).
% 24.36/16.12 tff(7893,plain,
% 24.36/16.12 ((~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7892, 1240, 7874])).
% 24.36/16.12 tff(7894,plain,
% 24.36/16.12 ((~v90(constB44, bitIndex2)) | v90(constB45, bitIndex2)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7893, 7886])).
% 24.36/16.12 tff(7895,plain,
% 24.36/16.12 (v90(constB45, bitIndex2)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7894, 7868])).
% 24.36/16.12 tff(7896,plain,
% 24.36/16.12 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB43)) | v130(constB43, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB43)) | v130(constB43, bitIndex1))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7897,plain,
% 24.36/16.12 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB43)) | v130(constB43, bitIndex1))),
% 24.36/16.12 inference(quant_inst,[status(thm)],[])).
% 24.36/16.12 tff(7898,plain,
% 24.36/16.12 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB43)) | v130(constB43, bitIndex1)),
% 24.36/16.12 inference(modus_ponens,[status(thm)],[7897, 7896])).
% 24.36/16.12 tff(7899,plain,
% 24.36/16.12 (v130(constB43, bitIndex1)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7898, 1539, 7775])).
% 24.36/16.12 tff(7900,plain,
% 24.36/16.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB43) | (~v130(constB43, bitIndex1)) | v127(constB43, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB43) | (~v130(constB43, bitIndex1)) | v127(constB43, bitIndex1))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7901,plain,
% 24.36/16.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB43) | (~v130(constB43, bitIndex1)) | v127(constB43, bitIndex1))),
% 24.36/16.12 inference(quant_inst,[status(thm)],[])).
% 24.36/16.12 tff(7902,plain,
% 24.36/16.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB43) | (~v130(constB43, bitIndex1)) | v127(constB43, bitIndex1)),
% 24.36/16.12 inference(modus_ponens,[status(thm)],[7901, 7900])).
% 24.36/16.12 tff(7903,plain,
% 24.36/16.12 ((~v130(constB43, bitIndex1)) | v127(constB43, bitIndex1)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7902, 1553, 7797])).
% 24.36/16.12 tff(7904,plain,
% 24.36/16.12 (v127(constB43, bitIndex1)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7903, 7899])).
% 24.36/16.12 tff(7905,plain,
% 24.36/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB43, constB44)) | (~v127(constB43, bitIndex1)) | v129(constB44, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB43, constB44)) | (~v127(constB43, bitIndex1)) | v129(constB44, bitIndex1))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7906,plain,
% 24.36/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB43, constB44)) | (~v127(constB43, bitIndex1)) | v129(constB44, bitIndex1))),
% 24.36/16.12 inference(quant_inst,[status(thm)],[])).
% 24.36/16.12 tff(7907,plain,
% 24.36/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB43, constB44)) | (~v127(constB43, bitIndex1)) | v129(constB44, bitIndex1)),
% 24.36/16.12 inference(modus_ponens,[status(thm)],[7906, 7905])).
% 24.36/16.12 tff(7908,plain,
% 24.36/16.12 ((~v127(constB43, bitIndex1)) | v129(constB44, bitIndex1)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7907, 1568, 7812])).
% 24.36/16.12 tff(7909,plain,
% 24.36/16.12 (v129(constB44, bitIndex1)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7908, 7904])).
% 24.36/16.12 tff(7910,plain,
% 24.36/16.12 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~v129(constB44, bitIndex1)) | (~v100(constB44)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~v129(constB44, bitIndex1)) | (~v100(constB44)))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7911,plain,
% 24.36/16.12 ((v90(constB44, bitIndex1) | (~v100(constB44)) | (~v129(constB44, bitIndex1))) <=> (v90(constB44, bitIndex1) | (~v129(constB44, bitIndex1)) | (~v100(constB44)))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7912,plain,
% 24.36/16.12 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~v100(constB44)) | (~v129(constB44, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~v129(constB44, bitIndex1)) | (~v100(constB44))))),
% 24.36/16.12 inference(monotonicity,[status(thm)],[7911])).
% 24.36/16.12 tff(7913,plain,
% 24.36/16.12 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~v100(constB44)) | (~v129(constB44, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~v129(constB44, bitIndex1)) | (~v100(constB44)))),
% 24.36/16.12 inference(transitivity,[status(thm)],[7912, 7910])).
% 24.36/16.12 tff(7914,plain,
% 24.36/16.12 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~v100(constB44)) | (~v129(constB44, bitIndex1)))),
% 24.36/16.12 inference(quant_inst,[status(thm)],[])).
% 24.36/16.12 tff(7915,plain,
% 24.36/16.12 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~v129(constB44, bitIndex1)) | (~v100(constB44))),
% 24.36/16.12 inference(modus_ponens,[status(thm)],[7914, 7913])).
% 24.36/16.12 tff(7916,plain,
% 24.36/16.12 (v90(constB44, bitIndex1) | (~v100(constB44))),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7915, 1583, 7909])).
% 24.36/16.12 tff(7917,plain,
% 24.36/16.12 (v90(constB44, bitIndex1)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7916, 7846])).
% 24.36/16.12 tff(7918,plain,
% 24.36/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex1))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7919,plain,
% 24.36/16.12 (((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex1)) | v100(constB45) | v90(constB45, bitIndex1)) <=> ((~v90(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex1))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7920,plain,
% 24.36/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex1)) | v100(constB45) | v90(constB45, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex1)))),
% 24.36/16.12 inference(monotonicity,[status(thm)],[7919])).
% 24.36/16.12 tff(7921,plain,
% 24.36/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex1)) | v100(constB45) | v90(constB45, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex1))),
% 24.36/16.12 inference(transitivity,[status(thm)],[7920, 7918])).
% 24.36/16.12 tff(7922,plain,
% 24.36/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex1)) | v100(constB45) | v90(constB45, bitIndex1))),
% 24.36/16.12 inference(quant_inst,[status(thm)],[])).
% 24.36/16.12 tff(7923,plain,
% 24.36/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex1)),
% 24.36/16.12 inference(modus_ponens,[status(thm)],[7922, 7921])).
% 24.36/16.12 tff(7924,plain,
% 24.36/16.12 ((~v90(constB44, bitIndex1)) | v100(constB45) | v90(constB45, bitIndex1)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7923, 1601, 7874])).
% 24.36/16.12 tff(7925,plain,
% 24.36/16.12 ((~v90(constB44, bitIndex1)) | v90(constB45, bitIndex1)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7924, 7886])).
% 24.36/16.12 tff(7926,plain,
% 24.36/16.12 (v90(constB45, bitIndex1)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7925, 7917])).
% 24.36/16.12 tff(7927,plain,
% 24.36/16.12 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB43)) | (~v130(constB43, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB43)) | (~v130(constB43, bitIndex0)))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7928,plain,
% 24.36/16.12 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB43)) | (~v130(constB43, bitIndex0)))),
% 24.36/16.12 inference(quant_inst,[status(thm)],[])).
% 24.36/16.12 tff(7929,plain,
% 24.36/16.12 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB43)) | (~v130(constB43, bitIndex0))),
% 24.36/16.12 inference(modus_ponens,[status(thm)],[7928, 7927])).
% 24.36/16.12 tff(7930,plain,
% 24.36/16.12 (~v130(constB43, bitIndex0)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7929, 1617, 7775])).
% 24.36/16.12 tff(7931,plain,
% 24.36/16.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7932,plain,
% 24.36/16.12 ((v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0))) <=> ((~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7933,plain,
% 24.36/16.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0)))),
% 24.36/16.12 inference(monotonicity,[status(thm)],[7932])).
% 24.36/16.12 tff(7934,plain,
% 24.36/16.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))),
% 24.36/16.12 inference(transitivity,[status(thm)],[7933, 7931])).
% 24.36/16.12 tff(7935,plain,
% 24.36/16.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0)))),
% 24.36/16.12 inference(quant_inst,[status(thm)],[])).
% 24.36/16.12 tff(7936,plain,
% 24.36/16.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0)),
% 24.36/16.12 inference(modus_ponens,[status(thm)],[7935, 7934])).
% 24.36/16.12 tff(7937,plain,
% 24.36/16.12 ((~v127(constB43, bitIndex0)) | v130(constB43, bitIndex0)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7936, 1341, 7797])).
% 24.36/16.12 tff(7938,plain,
% 24.36/16.12 (~v127(constB43, bitIndex0)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7937, 7930])).
% 24.36/16.12 tff(7939,plain,
% 24.36/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0)))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7940,plain,
% 24.36/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0)))),
% 24.36/16.12 inference(quant_inst,[status(thm)],[])).
% 24.36/16.12 tff(7941,plain,
% 24.36/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0))),
% 24.36/16.12 inference(modus_ponens,[status(thm)],[7940, 7939])).
% 24.36/16.12 tff(7942,plain,
% 24.36/16.12 (v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0))),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7941, 1359, 7812])).
% 24.36/16.12 tff(7943,plain,
% 24.36/16.12 (~v129(constB44, bitIndex0)),
% 24.36/16.12 inference(unit_resolution,[status(thm)],[7942, 7938])).
% 24.36/16.12 tff(7944,plain,
% 24.36/16.12 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7945,plain,
% 24.36/16.12 (((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0)) <=> ((~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))),
% 24.36/16.12 inference(rewrite,[status(thm)],[])).
% 24.36/16.12 tff(7946,plain,
% 24.36/16.12 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44))))),
% 24.36/16.13 inference(monotonicity,[status(thm)],[7945])).
% 24.36/16.13 tff(7947,plain,
% 24.36/16.13 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))),
% 24.36/16.13 inference(transitivity,[status(thm)],[7946, 7944])).
% 24.36/16.13 tff(7948,plain,
% 24.36/16.13 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0))),
% 24.36/16.13 inference(quant_inst,[status(thm)],[])).
% 24.36/16.13 tff(7949,plain,
% 24.36/16.13 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44))),
% 24.36/16.13 inference(modus_ponens,[status(thm)],[7948, 7947])).
% 24.36/16.13 tff(7950,plain,
% 24.36/16.13 ((~v90(constB44, bitIndex0)) | (~v100(constB44))),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[7949, 1374, 7943])).
% 24.36/16.13 tff(7951,plain,
% 24.36/16.13 (~v90(constB44, bitIndex0)),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[7950, 7846])).
% 24.36/16.13 tff(7952,plain,
% 24.36/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(7953,plain,
% 24.36/16.13 (((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0))) <=> (v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(7954,plain,
% 24.36/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0))))),
% 24.36/16.13 inference(monotonicity,[status(thm)],[7953])).
% 24.36/16.13 tff(7955,plain,
% 24.36/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 24.36/16.13 inference(transitivity,[status(thm)],[7954, 7952])).
% 24.36/16.13 tff(7956,plain,
% 24.36/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 24.36/16.13 inference(quant_inst,[status(thm)],[])).
% 24.36/16.13 tff(7957,plain,
% 24.36/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0))),
% 24.36/16.13 inference(modus_ponens,[status(thm)],[7956, 7955])).
% 24.36/16.13 tff(7958,plain,
% 24.36/16.13 (v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0))),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[7957, 934, 7874])).
% 24.36/16.13 tff(7959,plain,
% 24.36/16.13 (v90(constB44, bitIndex0) | (~v90(constB45, bitIndex0))),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[7958, 7886])).
% 24.36/16.13 tff(7960,plain,
% 24.36/16.13 (~v90(constB45, bitIndex0)),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[7959, 7951])).
% 24.36/16.13 tff(7961,plain,
% 24.36/16.13 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)) | v125(constB45))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)) | v125(constB45))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(7962,plain,
% 24.36/16.13 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)) | v125(constB45))),
% 24.36/16.13 inference(quant_inst,[status(thm)],[])).
% 24.36/16.13 tff(7963,plain,
% 24.36/16.13 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)) | v125(constB45)),
% 24.36/16.13 inference(modus_ponens,[status(thm)],[7962, 7961])).
% 24.36/16.13 tff(7964,plain,
% 24.36/16.13 (v125(constB45)),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[7963, 1661, 7960, 7926, 7895])).
% 24.36/16.13 tff(7965,plain,
% 24.36/16.13 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB45) | (~v125(constB45)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB45) | (~v125(constB45)))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(7966,plain,
% 24.36/16.13 (((~v125(constB45)) | v113(constB45)) <=> (v113(constB45) | (~v125(constB45)))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(7967,plain,
% 24.36/16.13 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB45)) | v113(constB45))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB45) | (~v125(constB45))))),
% 24.36/16.13 inference(monotonicity,[status(thm)],[7966])).
% 24.36/16.13 tff(7968,plain,
% 24.36/16.13 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB45)) | v113(constB45))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB45) | (~v125(constB45)))),
% 24.36/16.13 inference(transitivity,[status(thm)],[7967, 7965])).
% 24.36/16.13 tff(7969,plain,
% 24.36/16.13 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB45)) | v113(constB45))),
% 24.36/16.13 inference(quant_inst,[status(thm)],[])).
% 24.36/16.13 tff(7970,plain,
% 24.36/16.13 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB45) | (~v125(constB45))),
% 24.36/16.13 inference(modus_ponens,[status(thm)],[7969, 7968])).
% 24.36/16.13 tff(7971,plain,
% 24.36/16.13 (v113(constB45)),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[7970, 1672, 7964])).
% 24.36/16.13 tff(7972,assumption,(v26(constB45)), introduced(assumption)).
% 24.36/16.13 tff(7973,plain,
% 24.36/16.13 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB45))),
% 24.36/16.13 inference(quant_inst,[status(thm)],[])).
% 24.36/16.13 tff(7974,plain,
% 24.36/16.13 ($false),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[7973, 797, 7972])).
% 24.36/16.13 tff(7975,plain,(~v26(constB45)), inference(lemma,lemma(discharge,[]))).
% 24.36/16.13 tff(7976,plain,
% 24.36/16.13 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | (~v113(constB45)) | v112(constB45))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(7977,plain,
% 24.36/16.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))),
% 24.36/16.13 inference(quant_inst,[status(thm)],[])).
% 24.36/16.13 tff(7978,plain,
% 24.36/16.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | (~v113(constB45)) | v112(constB45)),
% 24.36/16.13 inference(modus_ponens,[status(thm)],[7977, 7976])).
% 24.36/16.13 tff(7979,plain,
% 24.36/16.13 ((~v113(constB45)) | v112(constB45)),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[7978, 1050, 7975])).
% 24.36/16.13 tff(7980,plain,
% 24.36/16.13 (v112(constB45)),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[7979, 7971])).
% 24.36/16.13 tff(7981,plain,
% 24.36/16.13 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB45) | (~v112(constB45)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v112(constB45)))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(7982,plain,
% 24.36/16.13 (((~v112(constB45)) | v108(constB45)) <=> (v108(constB45) | (~v112(constB45)))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(7983,plain,
% 24.36/16.13 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB45)) | v108(constB45))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB45) | (~v112(constB45))))),
% 24.36/16.13 inference(monotonicity,[status(thm)],[7982])).
% 24.36/16.13 tff(7984,plain,
% 24.36/16.13 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB45)) | v108(constB45))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v112(constB45)))),
% 24.36/16.13 inference(transitivity,[status(thm)],[7983, 7981])).
% 24.36/16.13 tff(7985,plain,
% 24.36/16.13 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB45)) | v108(constB45))),
% 24.36/16.13 inference(quant_inst,[status(thm)],[])).
% 24.36/16.13 tff(7986,plain,
% 24.36/16.13 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v112(constB45))),
% 24.36/16.13 inference(modus_ponens,[status(thm)],[7985, 7984])).
% 24.36/16.13 tff(7987,plain,
% 24.36/16.13 (v108(constB45)),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[7986, 1062, 7980])).
% 24.36/16.13 tff(7988,plain,
% 24.36/16.13 (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(7989,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_45_1')).
% 24.36/16.13 tff(7990,plain,
% 24.36/16.13 (nextState(constB45, constB46)),
% 24.36/16.13 inference(modus_ponens,[status(thm)],[7989, 7988])).
% 24.36/16.13 tff(7991,plain,
% 24.36/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(7992,plain,
% 24.36/16.13 (((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46)) <=> ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(7993,plain,
% 24.36/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45))))),
% 24.36/16.13 inference(monotonicity,[status(thm)],[7992])).
% 24.36/16.13 tff(7994,plain,
% 24.36/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 24.36/16.13 inference(transitivity,[status(thm)],[7993, 7991])).
% 24.36/16.13 tff(7995,plain,
% 24.36/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))),
% 24.36/16.13 inference(quant_inst,[status(thm)],[])).
% 24.36/16.13 tff(7996,plain,
% 24.36/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45))),
% 24.36/16.13 inference(modus_ponens,[status(thm)],[7995, 7994])).
% 24.36/16.13 tff(7997,plain,
% 24.36/16.13 (v110(constB46) | (~v108(constB45))),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[7996, 1082, 7990])).
% 24.36/16.13 tff(7998,plain,
% 24.36/16.13 (v110(constB46)),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[7997, 7987])).
% 24.36/16.13 tff(7999,plain,
% 24.36/16.13 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(8000,plain,
% 24.36/16.13 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))),
% 24.36/16.13 inference(quant_inst,[status(thm)],[])).
% 24.36/16.13 tff(8001,plain,
% 24.36/16.13 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46))),
% 24.36/16.13 inference(modus_ponens,[status(thm)],[8000, 7999])).
% 24.36/16.13 tff(8002,plain,
% 24.36/16.13 (~v104(constB46)),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[8001, 1100, 7990, 7871])).
% 24.36/16.13 tff(8003,plain,
% 24.36/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(8004,plain,
% 24.36/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))),
% 24.36/16.13 inference(quant_inst,[status(thm)],[])).
% 24.36/16.13 tff(8005,plain,
% 24.36/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v102(constB46) | v104(constB46)),
% 24.36/16.13 inference(modus_ponens,[status(thm)],[8004, 8003])).
% 24.36/16.13 tff(8006,plain,
% 24.36/16.13 (v102(constB46) | v104(constB46)),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[8005, 1114, 7990])).
% 24.36/16.13 tff(8007,plain,
% 24.36/16.13 (v102(constB46)),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[8006, 8002])).
% 24.36/16.13 tff(8008,plain,
% 24.36/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(8009,plain,
% 24.36/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))),
% 24.36/16.13 inference(quant_inst,[status(thm)],[])).
% 24.36/16.13 tff(8010,plain,
% 24.36/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46))),
% 24.36/16.13 inference(modus_ponens,[status(thm)],[8009, 8008])).
% 24.36/16.13 tff(8011,plain,
% 24.36/16.13 (v101(constB46) | (~v102(constB46))),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[8010, 1129, 7990, 779])).
% 24.36/16.13 tff(8012,plain,
% 24.36/16.13 (v101(constB46)),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[8011, 8007])).
% 24.36/16.13 tff(8013,plain,
% 24.36/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(8014,plain,
% 24.36/16.13 (((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46)) <=> ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(8015,plain,
% 24.36/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46))))),
% 24.36/16.13 inference(monotonicity,[status(thm)],[8014])).
% 24.36/16.13 tff(8016,plain,
% 24.36/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 24.36/16.13 inference(transitivity,[status(thm)],[8015, 8013])).
% 24.36/16.13 tff(8017,plain,
% 24.36/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))),
% 24.36/16.13 inference(quant_inst,[status(thm)],[])).
% 24.36/16.13 tff(8018,plain,
% 24.36/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 24.36/16.13 inference(modus_ponens,[status(thm)],[8017, 8016])).
% 24.36/16.13 tff(8019,plain,
% 24.36/16.13 (v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[8018, 1144, 7990])).
% 24.36/16.13 tff(8020,plain,
% 24.36/16.13 (v100(constB46) | (~v110(constB46))),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[8019, 8012])).
% 24.36/16.13 tff(8021,plain,
% 24.36/16.13 (v100(constB46)),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[8020, 7998])).
% 24.36/16.13 tff(8022,plain,
% 24.36/16.13 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB45)) | (~v90(constB45, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB45)) | (~v90(constB45, bitIndex2)))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(8023,plain,
% 24.36/16.13 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB45)) | (~v90(constB45, bitIndex2)))),
% 24.36/16.13 inference(quant_inst,[status(thm)],[])).
% 24.36/16.13 tff(8024,plain,
% 24.36/16.13 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB45)) | (~v90(constB45, bitIndex2))),
% 24.36/16.13 inference(modus_ponens,[status(thm)],[8023, 8022])).
% 24.36/16.13 tff(8025,plain,
% 24.36/16.13 (~v121(constB45)),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[8024, 1729, 7895])).
% 24.36/16.13 tff(8026,plain,
% 24.36/16.13 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB45)) | (~v90(constB45, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB45)) | (~v90(constB45, bitIndex2)))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(8027,plain,
% 24.36/16.13 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB45)) | (~v90(constB45, bitIndex2)))),
% 24.36/16.13 inference(quant_inst,[status(thm)],[])).
% 24.36/16.13 tff(8028,plain,
% 24.36/16.13 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB45)) | (~v90(constB45, bitIndex2))),
% 24.36/16.13 inference(modus_ponens,[status(thm)],[8027, 8026])).
% 24.36/16.13 tff(8029,plain,
% 24.36/16.13 (~v122(constB45)),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[8028, 1740, 7895])).
% 24.36/16.13 tff(8030,plain,
% 24.36/16.13 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB45)) | (~v90(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB45)) | (~v90(constB45, bitIndex1)))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(8031,plain,
% 24.36/16.13 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB45)) | (~v90(constB45, bitIndex1)))),
% 24.36/16.13 inference(quant_inst,[status(thm)],[])).
% 24.36/16.13 tff(8032,plain,
% 24.36/16.13 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB45)) | (~v90(constB45, bitIndex1))),
% 24.36/16.13 inference(modus_ponens,[status(thm)],[8031, 8030])).
% 24.36/16.13 tff(8033,plain,
% 24.36/16.13 (~v119(constB45)),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[8032, 1751, 7926])).
% 24.36/16.13 tff(8034,plain,
% 24.36/16.13 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB45)) | (~v90(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB45)) | (~v90(constB45, bitIndex1)))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(8035,plain,
% 24.36/16.13 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB45)) | (~v90(constB45, bitIndex1)))),
% 24.36/16.13 inference(quant_inst,[status(thm)],[])).
% 24.36/16.13 tff(8036,plain,
% 24.36/16.13 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB45)) | (~v90(constB45, bitIndex1))),
% 24.36/16.13 inference(modus_ponens,[status(thm)],[8035, 8034])).
% 24.36/16.13 tff(8037,plain,
% 24.36/16.13 (~v120(constB45)),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[8036, 1762, 7926])).
% 24.36/16.13 tff(8038,plain,
% 24.36/16.13 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB45)) | (~v90(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB45)) | (~v90(constB45, bitIndex1)))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(8039,plain,
% 24.36/16.13 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB45)) | (~v90(constB45, bitIndex1)))),
% 24.36/16.13 inference(quant_inst,[status(thm)],[])).
% 24.36/16.13 tff(8040,plain,
% 24.36/16.13 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB45)) | (~v90(constB45, bitIndex1))),
% 24.36/16.13 inference(modus_ponens,[status(thm)],[8039, 8038])).
% 24.36/16.13 tff(8041,plain,
% 24.36/16.13 (~v124(constB45)),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[8040, 1784, 7926])).
% 24.36/16.13 tff(8042,plain,
% 24.36/16.13 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB45)) | (~v90(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB45)) | (~v90(constB45, bitIndex1)))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(8043,plain,
% 24.36/16.13 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB45)) | (~v90(constB45, bitIndex1)))),
% 24.36/16.13 inference(quant_inst,[status(thm)],[])).
% 24.36/16.13 tff(8044,plain,
% 24.36/16.13 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB45)) | (~v90(constB45, bitIndex1))),
% 24.36/16.13 inference(modus_ponens,[status(thm)],[8043, 8042])).
% 24.36/16.13 tff(8045,plain,
% 24.36/16.13 (~v123(constB45)),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[8044, 1773, 7926])).
% 24.36/16.13 tff(8046,plain,
% 24.36/16.13 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex2)))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(8047,plain,
% 24.36/16.13 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex2)))),
% 24.36/16.13 inference(quant_inst,[status(thm)],[])).
% 24.36/16.13 tff(8048,plain,
% 24.36/16.13 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex2))),
% 24.36/16.13 inference(modus_ponens,[status(thm)],[8047, 8046])).
% 24.36/16.13 tff(8049,plain,
% 24.36/16.13 (~v130(constB45, bitIndex2)),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[8048, 1798, 8045, 8041, 8037, 8033, 8029, 8025])).
% 24.36/16.13 tff(8050,plain,
% 24.36/16.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(8051,plain,
% 24.36/16.13 ((v26(constB45) | v130(constB45, bitIndex2) | (~v127(constB45, bitIndex2))) <=> ((~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(8052,plain,
% 24.36/16.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB45) | v130(constB45, bitIndex2) | (~v127(constB45, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2)))),
% 24.36/16.13 inference(monotonicity,[status(thm)],[8051])).
% 24.36/16.13 tff(8053,plain,
% 24.36/16.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB45) | v130(constB45, bitIndex2) | (~v127(constB45, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2))),
% 24.36/16.13 inference(transitivity,[status(thm)],[8052, 8050])).
% 24.36/16.13 tff(8054,plain,
% 24.36/16.13 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB45) | v130(constB45, bitIndex2) | (~v127(constB45, bitIndex2)))),
% 24.36/16.13 inference(quant_inst,[status(thm)],[])).
% 24.36/16.13 tff(8055,plain,
% 24.36/16.13 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2)),
% 24.36/16.13 inference(modus_ponens,[status(thm)],[8054, 8053])).
% 24.36/16.13 tff(8056,plain,
% 24.36/16.13 ((~v127(constB45, bitIndex2)) | v130(constB45, bitIndex2)),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[8055, 1812, 7975])).
% 24.36/16.13 tff(8057,plain,
% 24.36/16.13 (~v127(constB45, bitIndex2)),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[8056, 8049])).
% 24.36/16.13 tff(8058,plain,
% 24.36/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex2) | (~v129(constB46, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex2) | (~v129(constB46, bitIndex2)))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(8059,plain,
% 24.36/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex2) | (~v129(constB46, bitIndex2)))),
% 24.36/16.13 inference(quant_inst,[status(thm)],[])).
% 24.36/16.13 tff(8060,plain,
% 24.36/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex2) | (~v129(constB46, bitIndex2))),
% 24.36/16.13 inference(modus_ponens,[status(thm)],[8059, 8058])).
% 24.36/16.13 tff(8061,plain,
% 24.36/16.13 (v127(constB45, bitIndex2) | (~v129(constB46, bitIndex2))),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[8060, 1830, 7990])).
% 24.36/16.13 tff(8062,plain,
% 24.36/16.13 (~v129(constB46, bitIndex2)),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[8061, 8057])).
% 24.36/16.13 tff(8063,plain,
% 24.36/16.13 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB46, bitIndex2)) | v129(constB46, bitIndex2) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB46, bitIndex2)) | v129(constB46, bitIndex2) | (~v100(constB46)))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(8064,plain,
% 24.36/16.13 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB46, bitIndex2)) | v129(constB46, bitIndex2) | (~v100(constB46)))),
% 24.36/16.13 inference(quant_inst,[status(thm)],[])).
% 24.36/16.13 tff(8065,plain,
% 24.36/16.13 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB46, bitIndex2)) | v129(constB46, bitIndex2) | (~v100(constB46))),
% 24.36/16.13 inference(modus_ponens,[status(thm)],[8064, 8063])).
% 24.36/16.13 tff(8066,plain,
% 24.36/16.13 ((~v90(constB46, bitIndex2)) | (~v100(constB46))),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[8065, 1845, 8062])).
% 24.36/16.13 tff(8067,plain,
% 24.36/16.13 (~v90(constB46, bitIndex2)),
% 24.36/16.13 inference(unit_resolution,[status(thm)],[8066, 8021])).
% 24.36/16.13 tff(8068,plain,
% 24.36/16.13 ((~v1(constB47)) <=> (~v1(constB47))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(8069,axiom,(~v1(constB47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_47_1_1')).
% 24.36/16.13 tff(8070,plain,
% 24.36/16.13 (~v1(constB47)),
% 24.36/16.13 inference(modus_ponens,[status(thm)],[8069, 8068])).
% 24.36/16.13 tff(8071,plain,
% 24.36/16.13 (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(8072,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_46_1')).
% 24.36/16.13 tff(8073,plain,
% 24.36/16.13 (nextState(constB46, constB47)),
% 24.36/16.13 inference(modus_ponens,[status(thm)],[8072, 8071])).
% 24.36/16.13 tff(8074,plain,
% 24.36/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(8075,plain,
% 24.36/16.13 (((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47)) <=> (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 24.36/16.13 inference(rewrite,[status(thm)],[])).
% 24.36/16.13 tff(8076,plain,
% 24.36/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47))))),
% 24.36/16.13 inference(monotonicity,[status(thm)],[8075])).
% 24.36/16.13 tff(8077,plain,
% 24.36/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 24.36/16.14 inference(transitivity,[status(thm)],[8076, 8074])).
% 24.36/16.14 tff(8078,plain,
% 24.36/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))),
% 24.36/16.14 inference(quant_inst,[status(thm)],[])).
% 24.36/16.14 tff(8079,plain,
% 24.36/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47))),
% 24.36/16.14 inference(modus_ponens,[status(thm)],[8078, 8077])).
% 24.36/16.14 tff(8080,plain,
% 24.36/16.14 (~v101(constB47)),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8079, 860, 8073, 8070])).
% 24.36/16.14 tff(8081,plain,
% 24.36/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8082,plain,
% 24.36/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))),
% 24.36/16.14 inference(quant_inst,[status(thm)],[])).
% 24.36/16.14 tff(8083,plain,
% 24.36/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47))),
% 24.36/16.14 inference(modus_ponens,[status(thm)],[8082, 8081])).
% 24.36/16.14 tff(8084,plain,
% 24.36/16.14 (v101(constB47) | (~v100(constB47))),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8083, 877, 8073])).
% 24.36/16.14 tff(8085,plain,
% 24.36/16.14 (~v100(constB47)),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8084, 8080])).
% 24.36/16.14 tff(8086,plain,
% 24.36/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex2)))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8087,plain,
% 24.36/16.14 (((~nextState(constB46, constB47)) | v90(constB46, bitIndex2) | v100(constB47) | (~v90(constB47, bitIndex2))) <=> (v90(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex2)))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8088,plain,
% 24.36/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex2) | v100(constB47) | (~v90(constB47, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex2))))),
% 24.36/16.14 inference(monotonicity,[status(thm)],[8087])).
% 24.36/16.14 tff(8089,plain,
% 24.36/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex2) | v100(constB47) | (~v90(constB47, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex2)))),
% 24.36/16.14 inference(transitivity,[status(thm)],[8088, 8086])).
% 24.36/16.14 tff(8090,plain,
% 24.36/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex2) | v100(constB47) | (~v90(constB47, bitIndex2)))),
% 24.36/16.14 inference(quant_inst,[status(thm)],[])).
% 24.36/16.14 tff(8091,plain,
% 24.36/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex2))),
% 24.36/16.14 inference(modus_ponens,[status(thm)],[8090, 8089])).
% 24.36/16.14 tff(8092,plain,
% 24.36/16.14 (v90(constB46, bitIndex2) | v100(constB47) | (~v90(constB47, bitIndex2))),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8091, 892, 8073])).
% 24.36/16.14 tff(8093,plain,
% 24.36/16.14 (v90(constB46, bitIndex2) | (~v90(constB47, bitIndex2))),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8092, 8085])).
% 24.36/16.14 tff(8094,plain,
% 24.36/16.14 (~v90(constB47, bitIndex2)),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8093, 8067])).
% 24.36/16.14 tff(8095,plain,
% 24.36/16.14 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | v130(constB45, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | v130(constB45, bitIndex0))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8096,plain,
% 24.36/16.14 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | v130(constB45, bitIndex0))),
% 24.36/16.14 inference(quant_inst,[status(thm)],[])).
% 24.36/16.14 tff(8097,plain,
% 24.36/16.14 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | v130(constB45, bitIndex0)),
% 24.36/16.14 inference(modus_ponens,[status(thm)],[8096, 8095])).
% 24.36/16.14 tff(8098,plain,
% 24.36/16.14 (v130(constB45, bitIndex0)),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8097, 1931, 8045, 8041, 8037, 8033, 8029, 8025])).
% 24.36/16.14 tff(8099,plain,
% 24.36/16.14 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8100,plain,
% 24.36/16.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0))),
% 24.36/16.14 inference(quant_inst,[status(thm)],[])).
% 24.36/16.14 tff(8101,plain,
% 24.36/16.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0)),
% 24.36/16.14 inference(modus_ponens,[status(thm)],[8100, 8099])).
% 24.36/16.14 tff(8102,plain,
% 24.36/16.14 ((~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0)),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8101, 1945, 7975])).
% 24.36/16.14 tff(8103,plain,
% 24.36/16.14 (v127(constB45, bitIndex0)),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8102, 8098])).
% 24.36/16.14 tff(8104,plain,
% 24.36/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8105,plain,
% 24.36/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0))),
% 24.36/16.14 inference(quant_inst,[status(thm)],[])).
% 24.36/16.14 tff(8106,plain,
% 24.36/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0)),
% 24.36/16.14 inference(modus_ponens,[status(thm)],[8105, 8104])).
% 24.36/16.14 tff(8107,plain,
% 24.36/16.14 ((~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0)),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8106, 1960, 7990])).
% 24.36/16.14 tff(8108,plain,
% 24.36/16.14 (v129(constB46, bitIndex0)),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8107, 8103])).
% 24.36/16.14 tff(8109,plain,
% 24.36/16.14 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8110,plain,
% 24.36/16.14 ((v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0))) <=> (v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8111,plain,
% 24.36/16.14 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46))))),
% 24.36/16.14 inference(monotonicity,[status(thm)],[8110])).
% 24.36/16.14 tff(8112,plain,
% 24.36/16.14 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))),
% 24.36/16.14 inference(transitivity,[status(thm)],[8111, 8109])).
% 24.36/16.14 tff(8113,plain,
% 24.36/16.14 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0)))),
% 24.36/16.14 inference(quant_inst,[status(thm)],[])).
% 24.36/16.14 tff(8114,plain,
% 24.36/16.14 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46))),
% 24.36/16.14 inference(modus_ponens,[status(thm)],[8113, 8112])).
% 24.36/16.14 tff(8115,plain,
% 24.36/16.14 (v90(constB46, bitIndex0) | (~v100(constB46))),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8114, 1975, 8108])).
% 24.36/16.14 tff(8116,plain,
% 24.36/16.14 (v90(constB46, bitIndex0)),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8115, 8021])).
% 24.36/16.14 tff(8117,plain,
% 24.36/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8118,plain,
% 24.36/16.14 (((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0)) <=> ((~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8119,plain,
% 24.36/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0)))),
% 24.36/16.14 inference(monotonicity,[status(thm)],[8118])).
% 24.36/16.14 tff(8120,plain,
% 24.36/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))),
% 24.36/16.14 inference(transitivity,[status(thm)],[8119, 8117])).
% 24.36/16.14 tff(8121,plain,
% 24.36/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0))),
% 24.36/16.14 inference(quant_inst,[status(thm)],[])).
% 24.36/16.14 tff(8122,plain,
% 24.36/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0)),
% 24.36/16.14 inference(modus_ponens,[status(thm)],[8121, 8120])).
% 24.36/16.14 tff(8123,plain,
% 24.36/16.14 ((~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0)),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8122, 1993, 8073])).
% 24.36/16.14 tff(8124,plain,
% 24.36/16.14 ((~v90(constB46, bitIndex0)) | v90(constB47, bitIndex0)),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8123, 8085])).
% 24.36/16.14 tff(8125,plain,
% 24.36/16.14 (v90(constB47, bitIndex0)),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8124, 8116])).
% 24.36/16.14 tff(8126,plain,
% 24.36/16.14 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex1)))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8127,plain,
% 24.36/16.14 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex1)))),
% 24.36/16.14 inference(quant_inst,[status(thm)],[])).
% 24.36/16.14 tff(8128,plain,
% 24.36/16.14 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex1))),
% 24.36/16.14 inference(modus_ponens,[status(thm)],[8127, 8126])).
% 24.36/16.14 tff(8129,plain,
% 24.36/16.14 (~v130(constB45, bitIndex1)),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8128, 1887, 8045, 8041, 8037, 8033, 8029, 8025])).
% 24.36/16.14 tff(8130,plain,
% 24.36/16.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8131,plain,
% 24.36/16.14 ((v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1))) <=> ((~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8132,plain,
% 24.36/16.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1)))),
% 24.36/16.14 inference(monotonicity,[status(thm)],[8131])).
% 24.36/16.14 tff(8133,plain,
% 24.36/16.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))),
% 24.36/16.14 inference(transitivity,[status(thm)],[8132, 8130])).
% 24.36/16.14 tff(8134,plain,
% 24.36/16.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1)))),
% 24.36/16.14 inference(quant_inst,[status(thm)],[])).
% 24.36/16.14 tff(8135,plain,
% 24.36/16.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1)),
% 24.36/16.14 inference(modus_ponens,[status(thm)],[8134, 8133])).
% 24.36/16.14 tff(8136,plain,
% 24.36/16.14 ((~v127(constB45, bitIndex1)) | v130(constB45, bitIndex1)),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8135, 1270, 7975])).
% 24.36/16.14 tff(8137,plain,
% 24.36/16.14 (~v127(constB45, bitIndex1)),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8136, 8129])).
% 24.36/16.14 tff(8138,plain,
% 24.36/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1)))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8139,plain,
% 24.36/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1)))),
% 24.36/16.14 inference(quant_inst,[status(thm)],[])).
% 24.36/16.14 tff(8140,plain,
% 24.36/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1))),
% 24.36/16.14 inference(modus_ponens,[status(thm)],[8139, 8138])).
% 24.36/16.14 tff(8141,plain,
% 24.36/16.14 (v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1))),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8140, 1288, 7990])).
% 24.36/16.14 tff(8142,plain,
% 24.36/16.14 (~v129(constB46, bitIndex1)),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8141, 8137])).
% 24.36/16.14 tff(8143,plain,
% 24.36/16.14 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8144,plain,
% 24.36/16.14 (((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1)) <=> ((~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8145,plain,
% 24.36/16.14 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46))))),
% 24.36/16.14 inference(monotonicity,[status(thm)],[8144])).
% 24.36/16.14 tff(8146,plain,
% 24.36/16.14 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))),
% 24.36/16.14 inference(transitivity,[status(thm)],[8145, 8143])).
% 24.36/16.14 tff(8147,plain,
% 24.36/16.14 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1))),
% 24.36/16.14 inference(quant_inst,[status(thm)],[])).
% 24.36/16.14 tff(8148,plain,
% 24.36/16.14 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46))),
% 24.36/16.14 inference(modus_ponens,[status(thm)],[8147, 8146])).
% 24.36/16.14 tff(8149,plain,
% 24.36/16.14 ((~v90(constB46, bitIndex1)) | (~v100(constB46))),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8148, 1303, 8142])).
% 24.36/16.14 tff(8150,plain,
% 24.36/16.14 (~v90(constB46, bitIndex1)),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8149, 8021])).
% 24.36/16.14 tff(8151,plain,
% 24.36/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8152,plain,
% 24.36/16.14 (((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1))) <=> (v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8153,plain,
% 24.36/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1))))),
% 24.36/16.14 inference(monotonicity,[status(thm)],[8152])).
% 24.36/16.14 tff(8154,plain,
% 24.36/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 24.36/16.14 inference(transitivity,[status(thm)],[8153, 8151])).
% 24.36/16.14 tff(8155,plain,
% 24.36/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 24.36/16.14 inference(quant_inst,[status(thm)],[])).
% 24.36/16.14 tff(8156,plain,
% 24.36/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1))),
% 24.36/16.14 inference(modus_ponens,[status(thm)],[8155, 8154])).
% 24.36/16.14 tff(8157,plain,
% 24.36/16.14 (v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1))),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8156, 913, 8073])).
% 24.36/16.14 tff(8158,plain,
% 24.36/16.14 (v90(constB46, bitIndex1) | (~v90(constB47, bitIndex1))),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8157, 8085])).
% 24.36/16.14 tff(8159,plain,
% 24.36/16.14 (~v90(constB47, bitIndex1)),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8158, 8150])).
% 24.36/16.14 tff(8160,assumption,(~v120(constB47)), introduced(assumption)).
% 24.36/16.14 tff(8161,plain,
% 24.36/16.14 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8162,plain,
% 24.36/16.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47))),
% 24.36/16.14 inference(quant_inst,[status(thm)],[])).
% 24.36/16.14 tff(8163,plain,
% 24.36/16.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47)),
% 24.36/16.14 inference(modus_ponens,[status(thm)],[8162, 8161])).
% 24.36/16.14 tff(8164,plain,
% 24.36/16.14 ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2)),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8163, 2012, 8160])).
% 24.36/16.14 tff(8165,plain,
% 24.36/16.14 ($false),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8164, 8159, 8125, 8094])).
% 24.36/16.14 tff(8166,plain,((~v123(constB43)) | v120(constB47)), inference(lemma,lemma(discharge,[]))).
% 24.36/16.14 tff(8167,plain,
% 24.36/16.14 (v120(constB47)),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8166, 7774])).
% 24.36/16.14 tff(8168,assumption,(v120(constB47)), introduced(assumption)).
% 24.36/16.14 tff(8169,plain,
% 24.36/16.14 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB47) | (~v120(constB47)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB47) | (~v120(constB47)))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8170,plain,
% 24.36/16.14 (((~v120(constB47)) | v118(constB47)) <=> (v118(constB47) | (~v120(constB47)))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8171,plain,
% 24.36/16.14 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB47)) | v118(constB47))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB47) | (~v120(constB47))))),
% 24.36/16.14 inference(monotonicity,[status(thm)],[8170])).
% 24.36/16.14 tff(8172,plain,
% 24.36/16.14 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB47)) | v118(constB47))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB47) | (~v120(constB47)))),
% 24.36/16.14 inference(transitivity,[status(thm)],[8171, 8169])).
% 24.36/16.14 tff(8173,plain,
% 24.36/16.14 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB47)) | v118(constB47))),
% 24.36/16.14 inference(quant_inst,[status(thm)],[])).
% 24.36/16.14 tff(8174,plain,
% 24.36/16.14 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB47) | (~v120(constB47))),
% 24.36/16.14 inference(modus_ponens,[status(thm)],[8173, 8172])).
% 24.36/16.14 tff(8175,plain,
% 24.36/16.14 (v118(constB47)),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8174, 2210, 8168])).
% 24.36/16.14 tff(8176,plain,
% 24.36/16.14 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB47) | (~v118(constB47)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB47) | (~v118(constB47)))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8177,plain,
% 24.36/16.14 (((~v118(constB47)) | v117(constB47)) <=> (v117(constB47) | (~v118(constB47)))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8178,plain,
% 24.36/16.14 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB47)) | v117(constB47))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB47) | (~v118(constB47))))),
% 24.36/16.14 inference(monotonicity,[status(thm)],[8177])).
% 24.36/16.14 tff(8179,plain,
% 24.36/16.14 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB47)) | v117(constB47))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB47) | (~v118(constB47)))),
% 24.36/16.14 inference(transitivity,[status(thm)],[8178, 8176])).
% 24.36/16.14 tff(8180,plain,
% 24.36/16.14 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB47)) | v117(constB47))),
% 24.36/16.14 inference(quant_inst,[status(thm)],[])).
% 24.36/16.14 tff(8181,plain,
% 24.36/16.14 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB47) | (~v118(constB47))),
% 24.36/16.14 inference(modus_ponens,[status(thm)],[8180, 8179])).
% 24.36/16.14 tff(8182,plain,
% 24.36/16.14 (v117(constB47)),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8181, 980, 8175])).
% 24.36/16.14 tff(8183,plain,
% 24.36/16.14 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB47) | (~v117(constB47)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB47) | (~v117(constB47)))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8184,plain,
% 24.36/16.14 (((~v117(constB47)) | v116(constB47)) <=> (v116(constB47) | (~v117(constB47)))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8185,plain,
% 24.36/16.14 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB47)) | v116(constB47))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB47) | (~v117(constB47))))),
% 24.36/16.14 inference(monotonicity,[status(thm)],[8184])).
% 24.36/16.14 tff(8186,plain,
% 24.36/16.14 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB47)) | v116(constB47))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB47) | (~v117(constB47)))),
% 24.36/16.14 inference(transitivity,[status(thm)],[8185, 8183])).
% 24.36/16.14 tff(8187,plain,
% 24.36/16.14 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB47)) | v116(constB47))),
% 24.36/16.14 inference(quant_inst,[status(thm)],[])).
% 24.36/16.14 tff(8188,plain,
% 24.36/16.14 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB47) | (~v117(constB47))),
% 24.36/16.14 inference(modus_ponens,[status(thm)],[8187, 8186])).
% 24.36/16.14 tff(8189,plain,
% 24.36/16.14 (v116(constB47)),
% 24.36/16.14 inference(unit_resolution,[status(thm)],[8188, 994, 8182])).
% 24.36/16.14 tff(8190,plain,
% 24.36/16.14 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB47) | (~v116(constB47)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB47) | (~v116(constB47)))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8191,plain,
% 24.36/16.14 (((~v116(constB47)) | v115(constB47)) <=> (v115(constB47) | (~v116(constB47)))),
% 24.36/16.14 inference(rewrite,[status(thm)],[])).
% 24.36/16.14 tff(8192,plain,
% 24.36/16.14 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB47)) | v115(constB47))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB47) | (~v116(constB47))))),
% 24.36/16.14 inference(monotonicity,[status(thm)],[8191])).
% 24.36/16.14 tff(8193,plain,
% 24.36/16.14 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB47)) | v115(constB47))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB47) | (~v116(constB47)))),
% 24.36/16.14 inference(transitivity,[status(thm)],[8192, 8190])).
% 24.36/16.14 tff(8194,plain,
% 24.36/16.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB47)) | v115(constB47))),
% 24.36/16.14 inference(quant_inst,[status(thm)],[])).
% 24.36/16.15 tff(8195,plain,
% 24.36/16.15 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB47) | (~v116(constB47))),
% 24.36/16.15 inference(modus_ponens,[status(thm)],[8194, 8193])).
% 24.36/16.15 tff(8196,plain,
% 24.36/16.15 (v115(constB47)),
% 24.36/16.15 inference(unit_resolution,[status(thm)],[8195, 1008, 8189])).
% 24.36/16.15 tff(8197,plain,
% 24.36/16.15 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB47) | (~v115(constB47)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB47) | (~v115(constB47)))),
% 24.36/16.15 inference(rewrite,[status(thm)],[])).
% 24.36/16.15 tff(8198,plain,
% 24.36/16.15 (((~v115(constB47)) | v114(constB47)) <=> (v114(constB47) | (~v115(constB47)))),
% 24.36/16.15 inference(rewrite,[status(thm)],[])).
% 24.36/16.15 tff(8199,plain,
% 24.36/16.15 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB47)) | v114(constB47))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB47) | (~v115(constB47))))),
% 24.36/16.15 inference(monotonicity,[status(thm)],[8198])).
% 24.36/16.15 tff(8200,plain,
% 24.36/16.15 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB47)) | v114(constB47))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB47) | (~v115(constB47)))),
% 24.36/16.15 inference(transitivity,[status(thm)],[8199, 8197])).
% 24.36/16.15 tff(8201,plain,
% 24.36/16.15 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB47)) | v114(constB47))),
% 24.36/16.15 inference(quant_inst,[status(thm)],[])).
% 24.36/16.15 tff(8202,plain,
% 24.36/16.15 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB47) | (~v115(constB47))),
% 24.36/16.15 inference(modus_ponens,[status(thm)],[8201, 8200])).
% 24.36/16.15 tff(8203,plain,
% 24.36/16.15 (v114(constB47)),
% 24.36/16.15 inference(unit_resolution,[status(thm)],[8202, 1022, 8196])).
% 24.36/16.15 tff(8204,plain,
% 24.36/16.15 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB47) | (~v114(constB47)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB47) | (~v114(constB47)))),
% 24.36/16.15 inference(rewrite,[status(thm)],[])).
% 24.36/16.15 tff(8205,plain,
% 24.36/16.15 (((~v114(constB47)) | v113(constB47)) <=> (v113(constB47) | (~v114(constB47)))),
% 24.36/16.15 inference(rewrite,[status(thm)],[])).
% 24.36/16.15 tff(8206,plain,
% 24.36/16.15 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB47)) | v113(constB47))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB47) | (~v114(constB47))))),
% 24.36/16.15 inference(monotonicity,[status(thm)],[8205])).
% 24.36/16.15 tff(8207,plain,
% 24.36/16.15 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB47)) | v113(constB47))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB47) | (~v114(constB47)))),
% 24.36/16.15 inference(transitivity,[status(thm)],[8206, 8204])).
% 24.36/16.15 tff(8208,plain,
% 24.36/16.15 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB47)) | v113(constB47))),
% 24.36/16.15 inference(quant_inst,[status(thm)],[])).
% 24.36/16.15 tff(8209,plain,
% 24.36/16.15 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB47) | (~v114(constB47))),
% 24.36/16.15 inference(modus_ponens,[status(thm)],[8208, 8207])).
% 24.36/16.15 tff(8210,plain,
% 24.36/16.15 (v113(constB47)),
% 24.36/16.15 inference(unit_resolution,[status(thm)],[8209, 1036, 8203])).
% 24.36/16.15 tff(8211,assumption,(v26(constB47)), introduced(assumption)).
% 24.36/16.15 tff(8212,plain,
% 24.36/16.15 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB47))),
% 24.36/16.15 inference(quant_inst,[status(thm)],[])).
% 24.36/16.15 tff(8213,plain,
% 24.36/16.15 ($false),
% 24.36/16.15 inference(unit_resolution,[status(thm)],[8212, 797, 8211])).
% 24.36/16.15 tff(8214,plain,(~v26(constB47)), inference(lemma,lemma(discharge,[]))).
% 24.36/16.15 tff(8215,plain,
% 24.36/16.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | v112(constB47) | (~v113(constB47)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 24.36/16.15 inference(rewrite,[status(thm)],[])).
% 24.36/16.15 tff(8216,plain,
% 24.36/16.15 ((v26(constB47) | (~v113(constB47)) | v112(constB47)) <=> (v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 24.36/16.15 inference(rewrite,[status(thm)],[])).
% 24.36/16.15 tff(8217,plain,
% 24.36/16.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | v112(constB47) | (~v113(constB47))))),
% 24.36/16.15 inference(monotonicity,[status(thm)],[8216])).
% 24.36/16.15 tff(8218,plain,
% 24.36/16.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 24.36/16.15 inference(transitivity,[status(thm)],[8217, 8215])).
% 24.36/16.15 tff(8219,plain,
% 24.36/16.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))),
% 24.36/16.15 inference(quant_inst,[status(thm)],[])).
% 24.36/16.15 tff(8220,plain,
% 24.36/16.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47))),
% 24.36/16.15 inference(modus_ponens,[status(thm)],[8219, 8218])).
% 24.36/16.15 tff(8221,plain,
% 24.36/16.15 (v112(constB47) | (~v113(constB47))),
% 24.36/16.15 inference(unit_resolution,[status(thm)],[8220, 1050, 8214])).
% 24.36/16.15 tff(8222,plain,
% 24.36/16.15 (v112(constB47)),
% 24.36/16.15 inference(unit_resolution,[status(thm)],[8221, 8210])).
% 24.36/16.15 tff(8223,plain,
% 24.36/16.15 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v112(constB47)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v112(constB47)))),
% 24.36/16.15 inference(rewrite,[status(thm)],[])).
% 24.36/16.15 tff(8224,plain,
% 24.36/16.15 (((~v112(constB47)) | v108(constB47)) <=> (v108(constB47) | (~v112(constB47)))),
% 24.36/16.15 inference(rewrite,[status(thm)],[])).
% 24.36/16.15 tff(8225,plain,
% 24.36/16.15 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v112(constB47))))),
% 24.36/16.15 inference(monotonicity,[status(thm)],[8224])).
% 24.36/16.15 tff(8226,plain,
% 24.36/16.15 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v112(constB47)))),
% 24.36/16.15 inference(transitivity,[status(thm)],[8225, 8223])).
% 24.36/16.15 tff(8227,plain,
% 24.36/16.15 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB47)) | v108(constB47))),
% 24.36/16.15 inference(quant_inst,[status(thm)],[])).
% 24.36/16.15 tff(8228,plain,
% 24.36/16.15 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v112(constB47))),
% 24.36/16.15 inference(modus_ponens,[status(thm)],[8227, 8226])).
% 24.36/16.15 tff(8229,plain,
% 24.36/16.15 (v108(constB47)),
% 24.36/16.15 inference(unit_resolution,[status(thm)],[8228, 1062, 8222])).
% 24.36/16.15 tff(8230,plain,
% 24.36/16.15 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 24.36/16.15 inference(rewrite,[status(thm)],[])).
% 24.36/16.15 tff(8231,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_47_1')).
% 24.36/16.15 tff(8232,plain,
% 24.36/16.15 (nextState(constB47, constB48)),
% 24.36/16.15 inference(modus_ponens,[status(thm)],[8231, 8230])).
% 24.36/16.15 tff(8233,plain,
% 24.36/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 24.36/16.15 inference(rewrite,[status(thm)],[])).
% 24.36/16.15 tff(8234,plain,
% 24.36/16.15 (((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48)) <=> ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 24.36/16.15 inference(rewrite,[status(thm)],[])).
% 24.36/16.15 tff(8235,plain,
% 24.36/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47))))),
% 24.36/16.15 inference(monotonicity,[status(thm)],[8234])).
% 24.36/16.15 tff(8236,plain,
% 24.36/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 24.36/16.15 inference(transitivity,[status(thm)],[8235, 8233])).
% 24.36/16.15 tff(8237,plain,
% 24.36/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))),
% 24.36/16.15 inference(quant_inst,[status(thm)],[])).
% 24.36/16.15 tff(8238,plain,
% 24.36/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47))),
% 24.36/16.15 inference(modus_ponens,[status(thm)],[8237, 8236])).
% 24.36/16.15 tff(8239,plain,
% 24.36/16.15 (v110(constB48) | (~v108(constB47))),
% 24.36/16.15 inference(unit_resolution,[status(thm)],[8238, 1082, 8232])).
% 24.36/16.15 tff(8240,plain,
% 24.36/16.15 (v110(constB48)),
% 24.36/16.15 inference(unit_resolution,[status(thm)],[8239, 8229])).
% 24.36/16.15 tff(8241,plain,
% 24.36/16.15 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))),
% 24.36/16.15 inference(rewrite,[status(thm)],[])).
% 24.36/16.15 tff(8242,plain,
% 24.36/16.15 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))),
% 24.36/16.15 inference(quant_inst,[status(thm)],[])).
% 24.36/16.15 tff(8243,plain,
% 24.36/16.15 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48))),
% 24.36/16.15 inference(modus_ponens,[status(thm)],[8242, 8241])).
% 24.36/16.15 tff(8244,plain,
% 24.36/16.15 (~v104(constB48)),
% 24.36/16.15 inference(unit_resolution,[status(thm)],[8243, 1100, 8232, 8070])).
% 24.36/16.15 tff(8245,plain,
% 24.36/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))),
% 24.36/16.15 inference(rewrite,[status(thm)],[])).
% 24.36/16.15 tff(8246,plain,
% 24.36/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))),
% 24.36/16.15 inference(quant_inst,[status(thm)],[])).
% 24.36/16.15 tff(8247,plain,
% 24.36/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v102(constB48) | v104(constB48)),
% 24.36/16.15 inference(modus_ponens,[status(thm)],[8246, 8245])).
% 24.36/16.15 tff(8248,plain,
% 24.36/16.15 (v102(constB48) | v104(constB48)),
% 24.36/16.15 inference(unit_resolution,[status(thm)],[8247, 1114, 8232])).
% 24.36/16.15 tff(8249,plain,
% 24.36/16.15 (v102(constB48)),
% 24.36/16.15 inference(unit_resolution,[status(thm)],[8248, 8244])).
% 24.36/16.15 tff(8250,plain,
% 24.36/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))),
% 24.36/16.15 inference(rewrite,[status(thm)],[])).
% 24.44/16.15 tff(8251,plain,
% 24.44/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))),
% 24.44/16.15 inference(quant_inst,[status(thm)],[])).
% 24.44/16.15 tff(8252,plain,
% 24.44/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48))),
% 24.44/16.15 inference(modus_ponens,[status(thm)],[8251, 8250])).
% 24.44/16.15 tff(8253,plain,
% 24.44/16.15 (v101(constB48) | (~v102(constB48))),
% 24.44/16.15 inference(unit_resolution,[status(thm)],[8252, 1129, 8232, 515])).
% 24.44/16.15 tff(8254,plain,
% 24.44/16.15 (v101(constB48)),
% 24.44/16.15 inference(unit_resolution,[status(thm)],[8253, 8249])).
% 24.44/16.15 tff(8255,plain,
% 24.44/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 24.44/16.15 inference(rewrite,[status(thm)],[])).
% 24.44/16.15 tff(8256,plain,
% 24.44/16.15 (((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48)) <=> ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 24.44/16.15 inference(rewrite,[status(thm)],[])).
% 24.44/16.15 tff(8257,plain,
% 24.44/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48))))),
% 24.44/16.15 inference(monotonicity,[status(thm)],[8256])).
% 24.44/16.15 tff(8258,plain,
% 24.44/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 24.44/16.15 inference(transitivity,[status(thm)],[8257, 8255])).
% 24.44/16.15 tff(8259,plain,
% 24.44/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))),
% 24.44/16.15 inference(quant_inst,[status(thm)],[])).
% 24.44/16.15 tff(8260,plain,
% 24.44/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 24.44/16.15 inference(modus_ponens,[status(thm)],[8259, 8258])).
% 24.44/16.15 tff(8261,plain,
% 24.44/16.15 (v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 24.44/16.15 inference(unit_resolution,[status(thm)],[8260, 1144, 8232])).
% 24.44/16.15 tff(8262,plain,
% 24.44/16.15 (v100(constB48) | (~v110(constB48))),
% 24.44/16.15 inference(unit_resolution,[status(thm)],[8261, 8254])).
% 24.44/16.15 tff(8263,plain,
% 24.44/16.15 (v100(constB48)),
% 24.44/16.15 inference(unit_resolution,[status(thm)],[8262, 8240])).
% 24.44/16.15 tff(8264,plain,
% 24.44/16.15 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB47)) | (~v130(constB47, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB47)) | (~v130(constB47, bitIndex0)))),
% 24.44/16.15 inference(rewrite,[status(thm)],[])).
% 24.44/16.15 tff(8265,plain,
% 24.44/16.15 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB47)) | (~v130(constB47, bitIndex0)))),
% 24.44/16.15 inference(quant_inst,[status(thm)],[])).
% 24.44/16.15 tff(8266,plain,
% 24.44/16.15 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB47)) | (~v130(constB47, bitIndex0))),
% 24.44/16.15 inference(modus_ponens,[status(thm)],[8265, 8264])).
% 24.44/16.15 tff(8267,plain,
% 24.44/16.15 (~v130(constB47, bitIndex0)),
% 24.44/16.15 inference(unit_resolution,[status(thm)],[8266, 2023, 8168])).
% 24.44/16.15 tff(8268,plain,
% 24.44/16.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))),
% 24.44/16.15 inference(rewrite,[status(thm)],[])).
% 24.44/16.15 tff(8269,plain,
% 24.44/16.15 ((v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0))) <=> ((~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))),
% 24.44/16.15 inference(rewrite,[status(thm)],[])).
% 24.44/16.15 tff(8270,plain,
% 24.44/16.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0)))),
% 24.44/16.15 inference(monotonicity,[status(thm)],[8269])).
% 24.44/16.15 tff(8271,plain,
% 24.44/16.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))),
% 24.44/16.15 inference(transitivity,[status(thm)],[8270, 8268])).
% 24.44/16.15 tff(8272,plain,
% 24.44/16.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0)))),
% 24.44/16.15 inference(quant_inst,[status(thm)],[])).
% 24.44/16.15 tff(8273,plain,
% 24.44/16.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0)),
% 24.44/16.15 inference(modus_ponens,[status(thm)],[8272, 8271])).
% 24.44/16.15 tff(8274,plain,
% 24.44/16.15 ((~v127(constB47, bitIndex0)) | v130(constB47, bitIndex0)),
% 24.44/16.15 inference(unit_resolution,[status(thm)],[8273, 1341, 8214])).
% 24.44/16.15 tff(8275,plain,
% 24.44/16.15 (~v127(constB47, bitIndex0)),
% 24.44/16.15 inference(unit_resolution,[status(thm)],[8274, 8267])).
% 24.44/16.15 tff(8276,plain,
% 24.44/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0)))),
% 24.44/16.15 inference(rewrite,[status(thm)],[])).
% 24.44/16.15 tff(8277,plain,
% 24.44/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0)))),
% 24.44/16.15 inference(quant_inst,[status(thm)],[])).
% 24.44/16.15 tff(8278,plain,
% 24.44/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0))),
% 24.44/16.15 inference(modus_ponens,[status(thm)],[8277, 8276])).
% 24.44/16.15 tff(8279,plain,
% 24.44/16.15 (v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0))),
% 24.44/16.15 inference(unit_resolution,[status(thm)],[8278, 1359, 8232])).
% 24.44/16.15 tff(8280,plain,
% 24.44/16.15 (~v129(constB48, bitIndex0)),
% 24.44/16.15 inference(unit_resolution,[status(thm)],[8279, 8275])).
% 24.44/16.15 tff(8281,plain,
% 24.44/16.15 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))),
% 24.44/16.15 inference(rewrite,[status(thm)],[])).
% 24.44/16.15 tff(8282,plain,
% 24.44/16.15 (((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0)) <=> ((~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))),
% 24.44/16.15 inference(rewrite,[status(thm)],[])).
% 24.44/16.15 tff(8283,plain,
% 24.44/16.15 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48))))),
% 24.44/16.15 inference(monotonicity,[status(thm)],[8282])).
% 24.44/16.15 tff(8284,plain,
% 24.44/16.15 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))),
% 24.44/16.15 inference(transitivity,[status(thm)],[8283, 8281])).
% 24.44/16.15 tff(8285,plain,
% 24.44/16.15 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0))),
% 24.44/16.15 inference(quant_inst,[status(thm)],[])).
% 24.44/16.15 tff(8286,plain,
% 24.44/16.15 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48))),
% 24.44/16.15 inference(modus_ponens,[status(thm)],[8285, 8284])).
% 24.44/16.15 tff(8287,plain,
% 24.44/16.15 ((~v90(constB48, bitIndex0)) | (~v100(constB48))),
% 24.44/16.15 inference(unit_resolution,[status(thm)],[8286, 1374, 8280])).
% 24.44/16.15 tff(8288,plain,
% 24.44/16.15 (~v90(constB48, bitIndex0)),
% 24.44/16.15 inference(unit_resolution,[status(thm)],[8287, 8263])).
% 24.44/16.15 tff(8289,plain,
% 24.44/16.15 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB47)) | (~v130(constB47, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB47)) | (~v130(constB47, bitIndex2)))),
% 24.44/16.15 inference(rewrite,[status(thm)],[])).
% 24.44/16.15 tff(8290,plain,
% 24.44/16.15 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB47)) | (~v130(constB47, bitIndex2)))),
% 24.44/16.15 inference(quant_inst,[status(thm)],[])).
% 24.44/16.15 tff(8291,plain,
% 24.44/16.15 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB47)) | (~v130(constB47, bitIndex2))),
% 24.44/16.15 inference(modus_ponens,[status(thm)],[8290, 8289])).
% 24.44/16.15 tff(8292,plain,
% 24.44/16.15 (~v130(constB47, bitIndex2)),
% 24.44/16.15 inference(unit_resolution,[status(thm)],[8291, 2231, 8168])).
% 24.44/16.15 tff(8293,plain,
% 24.44/16.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB47, bitIndex2)) | v26(constB47) | v130(constB47, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB47, bitIndex2)) | v26(constB47) | v130(constB47, bitIndex2))),
% 24.44/16.15 inference(rewrite,[status(thm)],[])).
% 24.44/16.15 tff(8294,plain,
% 24.44/16.15 ((v26(constB47) | v130(constB47, bitIndex2) | (~v127(constB47, bitIndex2))) <=> ((~v127(constB47, bitIndex2)) | v26(constB47) | v130(constB47, bitIndex2))),
% 24.44/16.15 inference(rewrite,[status(thm)],[])).
% 24.44/16.15 tff(8295,plain,
% 24.44/16.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB47) | v130(constB47, bitIndex2) | (~v127(constB47, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB47, bitIndex2)) | v26(constB47) | v130(constB47, bitIndex2)))),
% 24.44/16.15 inference(monotonicity,[status(thm)],[8294])).
% 24.44/16.15 tff(8296,plain,
% 24.44/16.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB47) | v130(constB47, bitIndex2) | (~v127(constB47, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB47, bitIndex2)) | v26(constB47) | v130(constB47, bitIndex2))),
% 24.44/16.15 inference(transitivity,[status(thm)],[8295, 8293])).
% 24.44/16.15 tff(8297,plain,
% 24.44/16.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB47) | v130(constB47, bitIndex2) | (~v127(constB47, bitIndex2)))),
% 24.44/16.15 inference(quant_inst,[status(thm)],[])).
% 24.44/16.15 tff(8298,plain,
% 24.44/16.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB47, bitIndex2)) | v26(constB47) | v130(constB47, bitIndex2)),
% 24.44/16.15 inference(modus_ponens,[status(thm)],[8297, 8296])).
% 24.44/16.15 tff(8299,plain,
% 24.44/16.15 ((~v127(constB47, bitIndex2)) | v130(constB47, bitIndex2)),
% 24.44/16.15 inference(unit_resolution,[status(thm)],[8298, 1812, 8214])).
% 24.44/16.15 tff(8300,plain,
% 24.44/16.15 (~v127(constB47, bitIndex2)),
% 24.44/16.15 inference(unit_resolution,[status(thm)],[8299, 8292])).
% 24.44/16.15 tff(8301,plain,
% 24.44/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex2) | (~v129(constB48, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex2) | (~v129(constB48, bitIndex2)))),
% 24.44/16.15 inference(rewrite,[status(thm)],[])).
% 24.44/16.15 tff(8302,plain,
% 24.44/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex2) | (~v129(constB48, bitIndex2)))),
% 24.44/16.15 inference(quant_inst,[status(thm)],[])).
% 24.44/16.15 tff(8303,plain,
% 24.44/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex2) | (~v129(constB48, bitIndex2))),
% 24.44/16.15 inference(modus_ponens,[status(thm)],[8302, 8301])).
% 24.44/16.15 tff(8304,plain,
% 24.44/16.15 (v127(constB47, bitIndex2) | (~v129(constB48, bitIndex2))),
% 24.44/16.15 inference(unit_resolution,[status(thm)],[8303, 1830, 8232])).
% 24.44/16.15 tff(8305,plain,
% 24.44/16.15 (~v129(constB48, bitIndex2)),
% 24.44/16.15 inference(unit_resolution,[status(thm)],[8304, 8300])).
% 24.44/16.15 tff(8306,plain,
% 24.44/16.15 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB48, bitIndex2)) | v129(constB48, bitIndex2) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB48, bitIndex2)) | v129(constB48, bitIndex2) | (~v100(constB48)))),
% 24.44/16.15 inference(rewrite,[status(thm)],[])).
% 24.44/16.15 tff(8307,plain,
% 24.44/16.15 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB48, bitIndex2)) | v129(constB48, bitIndex2) | (~v100(constB48)))),
% 24.44/16.15 inference(quant_inst,[status(thm)],[])).
% 24.44/16.15 tff(8308,plain,
% 24.44/16.15 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB48, bitIndex2)) | v129(constB48, bitIndex2) | (~v100(constB48))),
% 24.44/16.15 inference(modus_ponens,[status(thm)],[8307, 8306])).
% 24.44/16.15 tff(8309,plain,
% 24.44/16.15 ((~v90(constB48, bitIndex2)) | (~v100(constB48))),
% 24.44/16.15 inference(unit_resolution,[status(thm)],[8308, 1845, 8305])).
% 24.44/16.15 tff(8310,plain,
% 24.44/16.15 (~v90(constB48, bitIndex2)),
% 24.44/16.15 inference(unit_resolution,[status(thm)],[8309, 8263])).
% 24.44/16.15 tff(8311,assumption,(~v90(constB48, bitIndex2)), introduced(assumption)).
% 24.44/16.15 tff(8312,plain,
% 24.44/16.15 ((~v1(constB49)) <=> (~v1(constB49))),
% 24.44/16.15 inference(rewrite,[status(thm)],[])).
% 24.44/16.15 tff(8313,axiom,(~v1(constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_49_1_1')).
% 24.44/16.15 tff(8314,plain,
% 24.44/16.15 (~v1(constB49)),
% 24.44/16.15 inference(modus_ponens,[status(thm)],[8313, 8312])).
% 24.44/16.15 tff(8315,plain,
% 24.44/16.15 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 24.44/16.15 inference(rewrite,[status(thm)],[])).
% 24.44/16.15 tff(8316,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_48_1')).
% 24.44/16.15 tff(8317,plain,
% 24.44/16.15 (nextState(constB48, constB49)),
% 24.44/16.15 inference(modus_ponens,[status(thm)],[8316, 8315])).
% 24.44/16.15 tff(8318,plain,
% 24.44/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 24.44/16.15 inference(rewrite,[status(thm)],[])).
% 24.44/16.15 tff(8319,plain,
% 24.44/16.15 (((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49)) <=> (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 24.44/16.15 inference(rewrite,[status(thm)],[])).
% 24.44/16.15 tff(8320,plain,
% 24.44/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49))))),
% 24.44/16.15 inference(monotonicity,[status(thm)],[8319])).
% 24.44/16.15 tff(8321,plain,
% 24.44/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 24.44/16.15 inference(transitivity,[status(thm)],[8320, 8318])).
% 24.44/16.15 tff(8322,plain,
% 24.44/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))),
% 24.44/16.15 inference(quant_inst,[status(thm)],[])).
% 24.44/16.15 tff(8323,plain,
% 24.44/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49))),
% 24.44/16.15 inference(modus_ponens,[status(thm)],[8322, 8321])).
% 24.44/16.15 tff(8324,plain,
% 24.44/16.15 (~v101(constB49)),
% 24.44/16.15 inference(unit_resolution,[status(thm)],[8323, 860, 8317, 8314])).
% 24.44/16.15 tff(8325,plain,
% 24.44/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))),
% 24.44/16.15 inference(rewrite,[status(thm)],[])).
% 24.44/16.15 tff(8326,plain,
% 24.44/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))),
% 24.44/16.15 inference(quant_inst,[status(thm)],[])).
% 24.44/16.15 tff(8327,plain,
% 24.44/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49))),
% 24.44/16.15 inference(modus_ponens,[status(thm)],[8326, 8325])).
% 24.44/16.15 tff(8328,plain,
% 24.44/16.15 (v101(constB49) | (~v100(constB49))),
% 24.44/16.15 inference(unit_resolution,[status(thm)],[8327, 877, 8317])).
% 24.44/16.15 tff(8329,plain,
% 24.44/16.15 (~v100(constB49)),
% 24.44/16.15 inference(unit_resolution,[status(thm)],[8328, 8324])).
% 24.44/16.15 tff(8330,plain,
% 24.44/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex2)))),
% 24.44/16.15 inference(rewrite,[status(thm)],[])).
% 24.44/16.15 tff(8331,plain,
% 24.44/16.15 (((~nextState(constB48, constB49)) | v90(constB48, bitIndex2) | v100(constB49) | (~v90(constB49, bitIndex2))) <=> (v90(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex2)))),
% 24.44/16.15 inference(rewrite,[status(thm)],[])).
% 24.44/16.15 tff(8332,plain,
% 24.44/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex2) | v100(constB49) | (~v90(constB49, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex2))))),
% 24.44/16.15 inference(monotonicity,[status(thm)],[8331])).
% 24.44/16.15 tff(8333,plain,
% 24.44/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex2) | v100(constB49) | (~v90(constB49, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex2)))),
% 24.44/16.15 inference(transitivity,[status(thm)],[8332, 8330])).
% 24.44/16.15 tff(8334,plain,
% 24.44/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex2) | v100(constB49) | (~v90(constB49, bitIndex2)))),
% 24.44/16.15 inference(quant_inst,[status(thm)],[])).
% 24.44/16.15 tff(8335,plain,
% 24.44/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex2))),
% 24.44/16.15 inference(modus_ponens,[status(thm)],[8334, 8333])).
% 24.44/16.15 tff(8336,plain,
% 24.44/16.15 (v90(constB48, bitIndex2) | v100(constB49) | (~v90(constB49, bitIndex2))),
% 24.44/16.15 inference(unit_resolution,[status(thm)],[8335, 892, 8317])).
% 24.44/16.15 tff(8337,plain,
% 24.44/16.15 (v90(constB48, bitIndex2) | (~v90(constB49, bitIndex2))),
% 24.44/16.15 inference(unit_resolution,[status(thm)],[8336, 8329])).
% 24.44/16.15 tff(8338,plain,
% 24.44/16.15 (~v90(constB49, bitIndex2)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8337, 8311])).
% 24.44/16.16 tff(8339,assumption,(~v90(constB48, bitIndex0)), introduced(assumption)).
% 24.44/16.16 tff(8340,assumption,(~v90(constB48, bitIndex1)), introduced(assumption)).
% 24.44/16.16 tff(8341,assumption,(~v110(constB48)), introduced(assumption)).
% 24.44/16.16 tff(8342,plain,
% 24.44/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB47, constB48)) | v110(constB48) | (~v100(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v100(constB48)))),
% 24.44/16.16 inference(rewrite,[status(thm)],[])).
% 24.44/16.16 tff(8343,plain,
% 24.44/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB47, constB48)) | v110(constB48) | (~v100(constB48)))),
% 24.44/16.16 inference(quant_inst,[status(thm)],[])).
% 24.44/16.16 tff(8344,plain,
% 24.44/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v100(constB48))),
% 24.44/16.16 inference(modus_ponens,[status(thm)],[8343, 8342])).
% 24.44/16.16 tff(8345,plain,
% 24.44/16.16 (v110(constB48) | (~v100(constB48))),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8344, 5632, 8232])).
% 24.44/16.16 tff(8346,plain,
% 24.44/16.16 (~v100(constB48)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8345, 8341])).
% 24.44/16.16 tff(8347,plain,
% 24.44/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB47, bitIndex2)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB47, bitIndex2)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex2))),
% 24.44/16.16 inference(rewrite,[status(thm)],[])).
% 24.44/16.16 tff(8348,plain,
% 24.44/16.16 (((~nextState(constB47, constB48)) | (~v90(constB47, bitIndex2)) | v100(constB48) | v90(constB48, bitIndex2)) <=> ((~v90(constB47, bitIndex2)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex2))),
% 24.44/16.16 inference(rewrite,[status(thm)],[])).
% 24.44/16.16 tff(8349,plain,
% 24.44/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB47, constB48)) | (~v90(constB47, bitIndex2)) | v100(constB48) | v90(constB48, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB47, bitIndex2)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex2)))),
% 24.44/16.16 inference(monotonicity,[status(thm)],[8348])).
% 24.44/16.16 tff(8350,plain,
% 24.44/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB47, constB48)) | (~v90(constB47, bitIndex2)) | v100(constB48) | v90(constB48, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB47, bitIndex2)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex2))),
% 24.44/16.16 inference(transitivity,[status(thm)],[8349, 8347])).
% 24.44/16.16 tff(8351,plain,
% 24.44/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB47, constB48)) | (~v90(constB47, bitIndex2)) | v100(constB48) | v90(constB48, bitIndex2))),
% 24.44/16.16 inference(quant_inst,[status(thm)],[])).
% 24.44/16.16 tff(8352,plain,
% 24.44/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB47, bitIndex2)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex2)),
% 24.44/16.16 inference(modus_ponens,[status(thm)],[8351, 8350])).
% 24.44/16.16 tff(8353,plain,
% 24.44/16.16 ((~v90(constB47, bitIndex2)) | v100(constB48) | v90(constB48, bitIndex2)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8352, 1240, 8232])).
% 24.44/16.16 tff(8354,plain,
% 24.44/16.16 (~v90(constB47, bitIndex2)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8353, 8346, 8311])).
% 24.44/16.16 tff(8355,plain,
% 24.44/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB47, bitIndex1)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB47, bitIndex1)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex1))),
% 24.44/16.16 inference(rewrite,[status(thm)],[])).
% 24.44/16.16 tff(8356,plain,
% 24.44/16.16 (((~nextState(constB47, constB48)) | (~v90(constB47, bitIndex1)) | v100(constB48) | v90(constB48, bitIndex1)) <=> ((~v90(constB47, bitIndex1)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex1))),
% 24.44/16.16 inference(rewrite,[status(thm)],[])).
% 24.44/16.16 tff(8357,plain,
% 24.44/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v90(constB47, bitIndex1)) | v100(constB48) | v90(constB48, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB47, bitIndex1)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex1)))),
% 24.44/16.16 inference(monotonicity,[status(thm)],[8356])).
% 24.44/16.16 tff(8358,plain,
% 24.44/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v90(constB47, bitIndex1)) | v100(constB48) | v90(constB48, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB47, bitIndex1)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex1))),
% 24.44/16.16 inference(transitivity,[status(thm)],[8357, 8355])).
% 24.44/16.16 tff(8359,plain,
% 24.44/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v90(constB47, bitIndex1)) | v100(constB48) | v90(constB48, bitIndex1))),
% 24.44/16.16 inference(quant_inst,[status(thm)],[])).
% 24.44/16.16 tff(8360,plain,
% 24.44/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB47, bitIndex1)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex1)),
% 24.44/16.16 inference(modus_ponens,[status(thm)],[8359, 8358])).
% 24.44/16.16 tff(8361,plain,
% 24.44/16.16 ((~v90(constB47, bitIndex1)) | v100(constB48) | v90(constB48, bitIndex1)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8360, 1601, 8232])).
% 24.44/16.16 tff(8362,plain,
% 24.44/16.16 (~v90(constB47, bitIndex1)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8361, 8346, 8340])).
% 24.44/16.16 tff(8363,plain,
% 24.44/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB47, bitIndex0)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB47, bitIndex0)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex0))),
% 24.44/16.16 inference(rewrite,[status(thm)],[])).
% 24.44/16.16 tff(8364,plain,
% 24.44/16.16 (((~nextState(constB47, constB48)) | (~v90(constB47, bitIndex0)) | v100(constB48) | v90(constB48, bitIndex0)) <=> ((~v90(constB47, bitIndex0)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex0))),
% 24.44/16.16 inference(rewrite,[status(thm)],[])).
% 24.44/16.16 tff(8365,plain,
% 24.44/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB47, constB48)) | (~v90(constB47, bitIndex0)) | v100(constB48) | v90(constB48, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB47, bitIndex0)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex0)))),
% 24.44/16.16 inference(monotonicity,[status(thm)],[8364])).
% 24.44/16.16 tff(8366,plain,
% 24.44/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB47, constB48)) | (~v90(constB47, bitIndex0)) | v100(constB48) | v90(constB48, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB47, bitIndex0)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex0))),
% 24.44/16.16 inference(transitivity,[status(thm)],[8365, 8363])).
% 24.44/16.16 tff(8367,plain,
% 24.44/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB47, constB48)) | (~v90(constB47, bitIndex0)) | v100(constB48) | v90(constB48, bitIndex0))),
% 24.44/16.16 inference(quant_inst,[status(thm)],[])).
% 24.44/16.16 tff(8368,plain,
% 24.44/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB47, bitIndex0)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex0)),
% 24.44/16.16 inference(modus_ponens,[status(thm)],[8367, 8366])).
% 24.44/16.16 tff(8369,plain,
% 24.44/16.16 ((~v90(constB47, bitIndex0)) | v100(constB48) | v90(constB48, bitIndex0)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8368, 1993, 8232])).
% 24.44/16.16 tff(8370,plain,
% 24.44/16.16 (~v90(constB47, bitIndex0)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8369, 8346, 8339])).
% 24.44/16.16 tff(8371,plain,
% 24.44/16.16 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB47, bitIndex0) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v119(constB47))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB47, bitIndex0) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v119(constB47))),
% 24.44/16.16 inference(rewrite,[status(thm)],[])).
% 24.44/16.16 tff(8372,plain,
% 24.44/16.16 ((v90(constB47, bitIndex0) | v119(constB47) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2)) <=> (v90(constB47, bitIndex0) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v119(constB47))),
% 24.44/16.16 inference(rewrite,[status(thm)],[])).
% 24.44/16.16 tff(8373,plain,
% 24.44/16.16 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB47, bitIndex0) | v119(constB47) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB47, bitIndex0) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v119(constB47)))),
% 24.44/16.16 inference(monotonicity,[status(thm)],[8372])).
% 24.44/16.16 tff(8374,plain,
% 24.44/16.16 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB47, bitIndex0) | v119(constB47) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB47, bitIndex0) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v119(constB47))),
% 24.44/16.16 inference(transitivity,[status(thm)],[8373, 8371])).
% 24.44/16.16 tff(8375,plain,
% 24.44/16.16 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB47, bitIndex0) | v119(constB47) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2))),
% 24.44/16.16 inference(quant_inst,[status(thm)],[])).
% 24.44/16.16 tff(8376,plain,
% 24.44/16.16 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB47, bitIndex0) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v119(constB47)),
% 24.44/16.16 inference(modus_ponens,[status(thm)],[8375, 8374])).
% 24.44/16.16 tff(8377,plain,
% 24.44/16.16 (v119(constB47)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8376, 955, 8370, 8362, 8354])).
% 24.44/16.16 tff(8378,plain,
% 24.44/16.16 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB47) | (~v119(constB47)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB47) | (~v119(constB47)))),
% 24.44/16.16 inference(rewrite,[status(thm)],[])).
% 24.44/16.16 tff(8379,plain,
% 24.44/16.16 (((~v119(constB47)) | v118(constB47)) <=> (v118(constB47) | (~v119(constB47)))),
% 24.44/16.16 inference(rewrite,[status(thm)],[])).
% 24.44/16.16 tff(8380,plain,
% 24.44/16.16 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB47)) | v118(constB47))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB47) | (~v119(constB47))))),
% 24.44/16.16 inference(monotonicity,[status(thm)],[8379])).
% 24.44/16.16 tff(8381,plain,
% 24.44/16.16 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB47)) | v118(constB47))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB47) | (~v119(constB47)))),
% 24.44/16.16 inference(transitivity,[status(thm)],[8380, 8378])).
% 24.44/16.16 tff(8382,plain,
% 24.44/16.16 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB47)) | v118(constB47))),
% 24.44/16.16 inference(quant_inst,[status(thm)],[])).
% 24.44/16.16 tff(8383,plain,
% 24.44/16.16 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB47) | (~v119(constB47))),
% 24.44/16.16 inference(modus_ponens,[status(thm)],[8382, 8381])).
% 24.44/16.16 tff(8384,plain,
% 24.44/16.16 (v118(constB47)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8383, 969, 8377])).
% 24.44/16.16 tff(8385,plain,
% 24.44/16.16 (v117(constB47)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8181, 980, 8384])).
% 24.44/16.16 tff(8386,plain,
% 24.44/16.16 (v116(constB47)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8188, 994, 8385])).
% 24.44/16.16 tff(8387,plain,
% 24.44/16.16 (~v108(constB47)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8239, 8341])).
% 24.44/16.16 tff(8388,plain,
% 24.44/16.16 (~v112(constB47)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8228, 1062, 8387])).
% 24.44/16.16 tff(8389,plain,
% 24.44/16.16 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v26(constB47)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v26(constB47)))),
% 24.44/16.16 inference(rewrite,[status(thm)],[])).
% 24.44/16.16 tff(8390,plain,
% 24.44/16.16 (((~v26(constB47)) | v108(constB47)) <=> (v108(constB47) | (~v26(constB47)))),
% 24.44/16.16 inference(rewrite,[status(thm)],[])).
% 24.44/16.16 tff(8391,plain,
% 24.44/16.16 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v26(constB47))))),
% 24.44/16.16 inference(monotonicity,[status(thm)],[8390])).
% 24.44/16.16 tff(8392,plain,
% 24.44/16.16 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v26(constB47)))),
% 24.44/16.16 inference(transitivity,[status(thm)],[8391, 8389])).
% 24.44/16.16 tff(8393,plain,
% 24.44/16.16 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB47)) | v108(constB47))),
% 24.44/16.16 inference(quant_inst,[status(thm)],[])).
% 24.44/16.16 tff(8394,plain,
% 24.44/16.16 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v26(constB47))),
% 24.44/16.16 inference(modus_ponens,[status(thm)],[8393, 8392])).
% 24.44/16.16 tff(8395,plain,
% 24.44/16.16 (~v26(constB47)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8394, 2441, 8387])).
% 24.44/16.16 tff(8396,plain,
% 24.44/16.16 (~v113(constB47)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8220, 1050, 8395, 8388])).
% 24.44/16.16 tff(8397,plain,
% 24.44/16.16 (~v114(constB47)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8209, 1036, 8396])).
% 24.44/16.16 tff(8398,plain,
% 24.44/16.16 (~v115(constB47)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8202, 1022, 8397])).
% 24.44/16.16 tff(8399,plain,
% 24.44/16.16 ($false),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8195, 1008, 8398, 8386])).
% 24.44/16.16 tff(8400,plain,(v110(constB48) | v90(constB48, bitIndex0) | v90(constB48, bitIndex1) | v90(constB48, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 24.44/16.16 tff(8401,plain,
% 24.44/16.16 (v110(constB48)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8400, 8339, 8340, 8311])).
% 24.44/16.16 tff(8402,plain,
% 24.44/16.16 (v100(constB48)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8262, 8401])).
% 24.44/16.16 tff(8403,plain,
% 24.44/16.16 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))),
% 24.44/16.16 inference(rewrite,[status(thm)],[])).
% 24.44/16.16 tff(8404,plain,
% 24.44/16.16 ((v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1))) <=> (v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))),
% 24.44/16.16 inference(rewrite,[status(thm)],[])).
% 24.44/16.16 tff(8405,plain,
% 24.44/16.16 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48))))),
% 24.44/16.16 inference(monotonicity,[status(thm)],[8404])).
% 24.44/16.16 tff(8406,plain,
% 24.44/16.16 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))),
% 24.44/16.16 inference(transitivity,[status(thm)],[8405, 8403])).
% 24.44/16.16 tff(8407,plain,
% 24.44/16.16 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1)))),
% 24.44/16.16 inference(quant_inst,[status(thm)],[])).
% 24.44/16.16 tff(8408,plain,
% 24.44/16.16 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48))),
% 24.44/16.16 inference(modus_ponens,[status(thm)],[8407, 8406])).
% 24.44/16.16 tff(8409,plain,
% 24.44/16.16 ((~v129(constB48, bitIndex1)) | (~v100(constB48))),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8408, 1583, 8340])).
% 24.44/16.16 tff(8410,plain,
% 24.44/16.16 (~v129(constB48, bitIndex1)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8409, 8402])).
% 24.44/16.16 tff(8411,plain,
% 24.44/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1))),
% 24.44/16.16 inference(rewrite,[status(thm)],[])).
% 24.44/16.16 tff(8412,plain,
% 24.44/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1))),
% 24.44/16.16 inference(quant_inst,[status(thm)],[])).
% 24.44/16.16 tff(8413,plain,
% 24.44/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1)),
% 24.44/16.16 inference(modus_ponens,[status(thm)],[8412, 8411])).
% 24.44/16.16 tff(8414,plain,
% 24.44/16.16 ((~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8413, 1568, 8232])).
% 24.44/16.16 tff(8415,plain,
% 24.44/16.16 (~v127(constB47, bitIndex1)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8414, 8410])).
% 24.44/16.16 tff(8416,plain,
% 24.44/16.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1))),
% 24.44/16.16 inference(rewrite,[status(thm)],[])).
% 24.44/16.16 tff(8417,plain,
% 24.44/16.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1))),
% 24.44/16.16 inference(quant_inst,[status(thm)],[])).
% 24.44/16.16 tff(8418,plain,
% 24.44/16.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1)),
% 24.44/16.16 inference(modus_ponens,[status(thm)],[8417, 8416])).
% 24.44/16.16 tff(8419,plain,
% 24.44/16.16 ((~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8418, 1553, 8214])).
% 24.44/16.16 tff(8420,plain,
% 24.44/16.16 (~v130(constB47, bitIndex1)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8419, 8415])).
% 24.44/16.16 tff(8421,plain,
% 24.44/16.16 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB47)) | v130(constB47, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB47)) | v130(constB47, bitIndex1))),
% 24.44/16.16 inference(rewrite,[status(thm)],[])).
% 24.44/16.16 tff(8422,plain,
% 24.44/16.16 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB47)) | v130(constB47, bitIndex1))),
% 24.44/16.16 inference(quant_inst,[status(thm)],[])).
% 24.44/16.16 tff(8423,plain,
% 24.44/16.16 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB47)) | v130(constB47, bitIndex1)),
% 24.44/16.16 inference(modus_ponens,[status(thm)],[8422, 8421])).
% 24.44/16.16 tff(8424,plain,
% 24.44/16.16 (~v121(constB47)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8423, 2562, 8420])).
% 24.44/16.16 tff(8425,plain,
% 24.44/16.16 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48)))),
% 24.44/16.16 inference(rewrite,[status(thm)],[])).
% 24.44/16.16 tff(8426,plain,
% 24.44/16.16 ((v90(constB48, bitIndex2) | (~v100(constB48)) | (~v129(constB48, bitIndex2))) <=> (v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48)))),
% 24.44/16.16 inference(rewrite,[status(thm)],[])).
% 24.44/16.16 tff(8427,plain,
% 24.44/16.16 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v100(constB48)) | (~v129(constB48, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48))))),
% 24.44/16.16 inference(monotonicity,[status(thm)],[8426])).
% 24.44/16.16 tff(8428,plain,
% 24.44/16.16 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v100(constB48)) | (~v129(constB48, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48)))),
% 24.44/16.16 inference(transitivity,[status(thm)],[8427, 8425])).
% 24.44/16.16 tff(8429,plain,
% 24.44/16.16 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v100(constB48)) | (~v129(constB48, bitIndex2)))),
% 24.44/16.16 inference(quant_inst,[status(thm)],[])).
% 24.44/16.16 tff(8430,plain,
% 24.44/16.16 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48))),
% 24.44/16.16 inference(modus_ponens,[status(thm)],[8429, 8428])).
% 24.44/16.16 tff(8431,plain,
% 24.44/16.16 ((~v129(constB48, bitIndex2)) | (~v100(constB48))),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8430, 1204, 8311])).
% 24.44/16.16 tff(8432,plain,
% 24.44/16.16 (~v129(constB48, bitIndex2)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8431, 8402])).
% 24.44/16.16 tff(8433,plain,
% 24.44/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2))),
% 24.44/16.16 inference(rewrite,[status(thm)],[])).
% 24.44/16.16 tff(8434,plain,
% 24.44/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2))),
% 24.44/16.16 inference(quant_inst,[status(thm)],[])).
% 24.44/16.16 tff(8435,plain,
% 24.44/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2)),
% 24.44/16.16 inference(modus_ponens,[status(thm)],[8434, 8433])).
% 24.44/16.16 tff(8436,plain,
% 24.44/16.16 ((~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8435, 1189, 8232])).
% 24.44/16.16 tff(8437,plain,
% 24.44/16.16 (~v127(constB47, bitIndex2)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8436, 8432])).
% 24.44/16.16 tff(8438,plain,
% 24.44/16.16 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB48, bitIndex0) | (~v129(constB48, bitIndex0)) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB48, bitIndex0) | (~v129(constB48, bitIndex0)) | (~v100(constB48)))),
% 24.44/16.16 inference(rewrite,[status(thm)],[])).
% 24.44/16.16 tff(8439,plain,
% 24.44/16.16 ((v90(constB48, bitIndex0) | (~v100(constB48)) | (~v129(constB48, bitIndex0))) <=> (v90(constB48, bitIndex0) | (~v129(constB48, bitIndex0)) | (~v100(constB48)))),
% 24.44/16.16 inference(rewrite,[status(thm)],[])).
% 24.44/16.16 tff(8440,plain,
% 24.44/16.16 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB48, bitIndex0) | (~v100(constB48)) | (~v129(constB48, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB48, bitIndex0) | (~v129(constB48, bitIndex0)) | (~v100(constB48))))),
% 24.44/16.16 inference(monotonicity,[status(thm)],[8439])).
% 24.44/16.16 tff(8441,plain,
% 24.44/16.16 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB48, bitIndex0) | (~v100(constB48)) | (~v129(constB48, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB48, bitIndex0) | (~v129(constB48, bitIndex0)) | (~v100(constB48)))),
% 24.44/16.16 inference(transitivity,[status(thm)],[8440, 8438])).
% 24.44/16.16 tff(8442,plain,
% 24.44/16.16 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB48, bitIndex0) | (~v100(constB48)) | (~v129(constB48, bitIndex0)))),
% 24.44/16.16 inference(quant_inst,[status(thm)],[])).
% 24.44/16.16 tff(8443,plain,
% 24.44/16.16 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB48, bitIndex0) | (~v129(constB48, bitIndex0)) | (~v100(constB48))),
% 24.44/16.16 inference(modus_ponens,[status(thm)],[8442, 8441])).
% 24.44/16.16 tff(8444,plain,
% 24.44/16.16 (~v129(constB48, bitIndex0)),
% 24.44/16.16 inference(unit_resolution,[status(thm)],[8443, 1975, 8402, 8339])).
% 24.44/16.16 tff(8445,plain,
% 24.44/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex0)) | v129(constB48, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex0)) | v129(constB48, bitIndex0))),
% 24.44/16.16 inference(rewrite,[status(thm)],[])).
% 24.44/16.16 tff(8446,plain,
% 24.44/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex0)) | v129(constB48, bitIndex0))),
% 24.44/16.17 inference(quant_inst,[status(thm)],[])).
% 24.44/16.17 tff(8447,plain,
% 24.44/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex0)) | v129(constB48, bitIndex0)),
% 24.44/16.17 inference(modus_ponens,[status(thm)],[8446, 8445])).
% 24.44/16.17 tff(8448,plain,
% 24.44/16.17 ((~v127(constB47, bitIndex0)) | v129(constB48, bitIndex0)),
% 24.44/16.17 inference(unit_resolution,[status(thm)],[8447, 1960, 8232])).
% 24.44/16.17 tff(8449,plain,
% 24.44/16.17 (~v127(constB47, bitIndex0)),
% 24.44/16.17 inference(unit_resolution,[status(thm)],[8448, 8444])).
% 24.44/16.17 tff(8450,plain,
% 24.44/16.17 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB47)) | v130(constB47, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB47)) | v130(constB47, bitIndex1))),
% 24.44/16.17 inference(rewrite,[status(thm)],[])).
% 24.44/16.17 tff(8451,plain,
% 24.44/16.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB47)) | v130(constB47, bitIndex1))),
% 24.44/16.17 inference(quant_inst,[status(thm)],[])).
% 24.44/16.17 tff(8452,plain,
% 24.44/16.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB47)) | v130(constB47, bitIndex1)),
% 24.44/16.17 inference(modus_ponens,[status(thm)],[8451, 8450])).
% 24.44/16.17 tff(8453,plain,
% 24.44/16.17 (~v120(constB47)),
% 24.44/16.17 inference(unit_resolution,[status(thm)],[8452, 2034, 8420])).
% 24.44/16.17 tff(8454,plain,
% 24.44/16.17 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB47)) | v130(constB47, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB47)) | v130(constB47, bitIndex1))),
% 24.44/16.17 inference(rewrite,[status(thm)],[])).
% 24.44/16.17 tff(8455,plain,
% 24.44/16.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB47)) | v130(constB47, bitIndex1))),
% 24.44/16.17 inference(quant_inst,[status(thm)],[])).
% 24.44/16.17 tff(8456,plain,
% 24.44/16.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB47)) | v130(constB47, bitIndex1)),
% 24.44/16.17 inference(modus_ponens,[status(thm)],[8455, 8454])).
% 24.44/16.17 tff(8457,plain,
% 24.44/16.17 (~v124(constB47)),
% 24.44/16.17 inference(unit_resolution,[status(thm)],[8456, 4652, 8420])).
% 24.44/16.17 tff(8458,plain,
% 24.44/16.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB47) | (~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB47) | (~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2))),
% 24.44/16.17 inference(rewrite,[status(thm)],[])).
% 24.44/16.17 tff(8459,plain,
% 24.44/16.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB47) | (~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2))),
% 24.44/16.17 inference(quant_inst,[status(thm)],[])).
% 24.44/16.17 tff(8460,plain,
% 24.44/16.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB47) | (~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2)),
% 24.44/16.17 inference(modus_ponens,[status(thm)],[8459, 8458])).
% 24.44/16.17 tff(8461,plain,
% 24.44/16.17 ((~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2)),
% 24.44/16.17 inference(unit_resolution,[status(thm)],[8460, 1174, 8214])).
% 24.44/16.17 tff(8462,plain,
% 24.44/16.17 (~v130(constB47, bitIndex2)),
% 24.44/16.17 inference(unit_resolution,[status(thm)],[8461, 8437])).
% 24.44/16.17 tff(8463,plain,
% 24.44/16.17 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB47)) | v130(constB47, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB47)) | v130(constB47, bitIndex2))),
% 24.44/16.17 inference(rewrite,[status(thm)],[])).
% 24.44/16.17 tff(8464,plain,
% 24.44/16.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB47)) | v130(constB47, bitIndex2))),
% 24.44/16.17 inference(quant_inst,[status(thm)],[])).
% 24.44/16.17 tff(8465,plain,
% 24.44/16.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB47)) | v130(constB47, bitIndex2)),
% 24.44/16.17 inference(modus_ponens,[status(thm)],[8464, 8463])).
% 24.44/16.17 tff(8466,plain,
% 24.44/16.17 (~v122(constB47)),
% 24.44/16.17 inference(unit_resolution,[status(thm)],[8465, 2736, 8462])).
% 24.44/16.17 tff(8467,assumption,(~v26(constB47)), introduced(assumption)).
% 24.44/16.17 tff(8468,assumption,(~v127(constB47, bitIndex0)), introduced(assumption)).
% 24.44/16.17 tff(8469,plain,
% 24.44/16.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB47) | (~v130(constB47, bitIndex0)) | v127(constB47, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB47) | (~v130(constB47, bitIndex0)) | v127(constB47, bitIndex0))),
% 24.44/16.17 inference(rewrite,[status(thm)],[])).
% 24.44/16.17 tff(8470,plain,
% 24.44/16.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB47) | (~v130(constB47, bitIndex0)) | v127(constB47, bitIndex0))),
% 24.44/16.17 inference(quant_inst,[status(thm)],[])).
% 24.44/16.17 tff(8471,plain,
% 24.44/16.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB47) | (~v130(constB47, bitIndex0)) | v127(constB47, bitIndex0)),
% 24.44/16.17 inference(modus_ponens,[status(thm)],[8470, 8469])).
% 24.44/16.17 tff(8472,plain,
% 24.44/16.17 (v26(constB47) | (~v130(constB47, bitIndex0))),
% 24.44/16.17 inference(unit_resolution,[status(thm)],[8471, 1945, 8468])).
% 24.44/16.17 tff(8473,plain,
% 24.44/16.17 (~v130(constB47, bitIndex0)),
% 24.44/16.17 inference(unit_resolution,[status(thm)],[8472, 8467])).
% 24.44/16.17 tff(8474,assumption,(~v121(constB47)), introduced(assumption)).
% 24.44/16.17 tff(8475,assumption,(~v127(constB47, bitIndex1)), introduced(assumption)).
% 24.44/16.17 tff(8476,plain,
% 24.44/16.17 (v26(constB47) | (~v130(constB47, bitIndex1))),
% 24.44/16.17 inference(unit_resolution,[status(thm)],[8418, 1553, 8475])).
% 24.44/16.17 tff(8477,plain,
% 24.44/16.17 (~v130(constB47, bitIndex1)),
% 24.44/16.17 inference(unit_resolution,[status(thm)],[8476, 8467])).
% 24.44/16.17 tff(8478,plain,
% 24.44/16.17 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB47)) | v130(constB47, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB47)) | v130(constB47, bitIndex1))),
% 24.44/16.17 inference(rewrite,[status(thm)],[])).
% 24.44/16.17 tff(8479,plain,
% 24.44/16.17 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB47)) | v130(constB47, bitIndex1))),
% 24.44/16.17 inference(quant_inst,[status(thm)],[])).
% 24.44/16.17 tff(8480,plain,
% 24.44/16.17 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB47)) | v130(constB47, bitIndex1)),
% 24.44/16.17 inference(modus_ponens,[status(thm)],[8479, 8478])).
% 24.44/16.17 tff(8481,plain,
% 24.44/16.17 (~v123(constB47)),
% 24.44/16.17 inference(unit_resolution,[status(thm)],[8480, 1539, 8477])).
% 24.44/16.17 tff(8482,assumption,(~v127(constB47, bitIndex2)), introduced(assumption)).
% 24.44/16.17 tff(8483,plain,
% 24.44/16.17 (v26(constB47) | (~v130(constB47, bitIndex2))),
% 24.44/16.17 inference(unit_resolution,[status(thm)],[8460, 1174, 8482])).
% 24.44/16.17 tff(8484,plain,
% 24.44/16.17 (~v130(constB47, bitIndex2)),
% 24.44/16.17 inference(unit_resolution,[status(thm)],[8483, 8467])).
% 24.44/16.17 tff(8485,plain,
% 24.44/16.17 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB47)) | v130(constB47, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB47)) | v130(constB47, bitIndex2))),
% 24.44/16.17 inference(rewrite,[status(thm)],[])).
% 24.44/16.17 tff(8486,plain,
% 24.44/16.17 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB47)) | v130(constB47, bitIndex2))),
% 24.44/16.17 inference(quant_inst,[status(thm)],[])).
% 24.44/16.17 tff(8487,plain,
% 24.44/16.17 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB47)) | v130(constB47, bitIndex2)),
% 24.44/16.17 inference(modus_ponens,[status(thm)],[8486, 8485])).
% 24.44/16.17 tff(8488,plain,
% 24.44/16.17 (~v119(constB47)),
% 24.44/16.17 inference(unit_resolution,[status(thm)],[8487, 1160, 8484])).
% 24.44/16.17 tff(8489,assumption,(~v122(constB47)), introduced(assumption)).
% 24.44/16.17 tff(8490,assumption,(~v124(constB47)), introduced(assumption)).
% 24.44/16.17 tff(8491,plain,
% 24.44/16.17 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB47) | v120(constB47) | v121(constB47) | v122(constB47) | v123(constB47) | v124(constB47) | v130(constB47, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB47) | v120(constB47) | v121(constB47) | v122(constB47) | v123(constB47) | v124(constB47) | v130(constB47, bitIndex0))),
% 24.44/16.17 inference(rewrite,[status(thm)],[])).
% 24.44/16.17 tff(8492,plain,
% 24.44/16.17 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB47) | v120(constB47) | v121(constB47) | v122(constB47) | v123(constB47) | v124(constB47) | v130(constB47, bitIndex0))),
% 24.44/16.17 inference(quant_inst,[status(thm)],[])).
% 24.44/16.17 tff(8493,plain,
% 24.44/16.17 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB47) | v120(constB47) | v121(constB47) | v122(constB47) | v123(constB47) | v124(constB47) | v130(constB47, bitIndex0)),
% 24.44/16.17 inference(modus_ponens,[status(thm)],[8492, 8491])).
% 24.44/16.17 tff(8494,plain,
% 24.44/16.17 (v119(constB47) | v121(constB47) | v123(constB47) | v130(constB47, bitIndex0)),
% 24.44/16.17 inference(unit_resolution,[status(thm)],[8493, 1931, 8490, 8489, 8160])).
% 24.44/16.17 tff(8495,plain,
% 24.44/16.17 ($false),
% 24.44/16.17 inference(unit_resolution,[status(thm)],[8494, 8488, 8481, 8474, 8473])).
% 24.44/16.17 tff(8496,plain,(v26(constB47) | v121(constB47) | v124(constB47) | v122(constB47) | v120(constB47) | v127(constB47, bitIndex0) | v127(constB47, bitIndex2) | v127(constB47, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 24.44/16.17 tff(8497,plain,
% 24.44/16.17 ($false),
% 24.44/16.17 inference(unit_resolution,[status(thm)],[8496, 8466, 8457, 8214, 8415, 8453, 8449, 8437, 8424])).
% 24.44/16.17 tff(8498,plain,(v90(constB48, bitIndex0) | v90(constB48, bitIndex2) | v90(constB48, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 24.44/16.17 tff(8499,plain,
% 24.44/16.17 (v90(constB48, bitIndex1)),
% 24.44/16.17 inference(unit_resolution,[status(thm)],[8498, 8311, 8339])).
% 24.44/16.17 tff(8500,plain,
% 24.44/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))),
% 24.44/16.17 inference(rewrite,[status(thm)],[])).
% 24.44/16.17 tff(8501,plain,
% 24.44/16.17 (((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1)) <=> ((~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))),
% 24.44/16.17 inference(rewrite,[status(thm)],[])).
% 24.44/16.17 tff(8502,plain,
% 24.44/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1)))),
% 24.44/16.17 inference(monotonicity,[status(thm)],[8501])).
% 24.44/16.17 tff(8503,plain,
% 24.44/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))),
% 24.46/16.17 inference(transitivity,[status(thm)],[8502, 8500])).
% 24.46/16.17 tff(8504,plain,
% 24.46/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1))),
% 24.46/16.17 inference(quant_inst,[status(thm)],[])).
% 24.46/16.17 tff(8505,plain,
% 24.46/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1)),
% 24.46/16.17 inference(modus_ponens,[status(thm)],[8504, 8503])).
% 24.46/16.17 tff(8506,plain,
% 24.46/16.17 ((~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1)),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8505, 1601, 8317])).
% 24.46/16.17 tff(8507,plain,
% 24.46/16.17 ((~v90(constB48, bitIndex1)) | v90(constB49, bitIndex1)),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8506, 8329])).
% 24.46/16.17 tff(8508,plain,
% 24.46/16.17 (v90(constB49, bitIndex1)),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8507, 8499])).
% 24.46/16.17 tff(8509,plain,
% 24.46/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 24.46/16.17 inference(rewrite,[status(thm)],[])).
% 24.46/16.17 tff(8510,plain,
% 24.46/16.17 (((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0))) <=> (v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 24.46/16.17 inference(rewrite,[status(thm)],[])).
% 24.46/16.17 tff(8511,plain,
% 24.46/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0))))),
% 24.46/16.17 inference(monotonicity,[status(thm)],[8510])).
% 24.46/16.17 tff(8512,plain,
% 24.46/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 24.46/16.17 inference(transitivity,[status(thm)],[8511, 8509])).
% 24.46/16.17 tff(8513,plain,
% 24.46/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 24.46/16.17 inference(quant_inst,[status(thm)],[])).
% 24.46/16.17 tff(8514,plain,
% 24.46/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0))),
% 24.46/16.17 inference(modus_ponens,[status(thm)],[8513, 8512])).
% 24.46/16.17 tff(8515,plain,
% 24.46/16.17 (v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0))),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8514, 934, 8317])).
% 24.46/16.17 tff(8516,plain,
% 24.46/16.17 (v90(constB48, bitIndex0) | (~v90(constB49, bitIndex0))),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8515, 8329])).
% 24.46/16.17 tff(8517,plain,
% 24.46/16.17 (~v90(constB49, bitIndex0)),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8516, 8339])).
% 24.46/16.17 tff(8518,plain,
% 24.46/16.17 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex2) | v121(constB49))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex2) | v121(constB49))),
% 24.46/16.17 inference(rewrite,[status(thm)],[])).
% 24.46/16.17 tff(8519,plain,
% 24.46/16.17 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex2) | v121(constB49))),
% 24.46/16.17 inference(quant_inst,[status(thm)],[])).
% 24.46/16.17 tff(8520,plain,
% 24.46/16.17 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex2) | v121(constB49)),
% 24.46/16.17 inference(modus_ponens,[status(thm)],[8519, 8518])).
% 24.46/16.17 tff(8521,plain,
% 24.46/16.17 ((~v90(constB49, bitIndex1)) | v90(constB49, bitIndex2) | v121(constB49)),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8520, 2145, 8517])).
% 24.46/16.17 tff(8522,plain,
% 24.46/16.17 (v121(constB49)),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8521, 8508, 8338])).
% 24.46/16.17 tff(8523,plain,
% 24.46/16.17 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB49)) | v130(constB49, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB49)) | v130(constB49, bitIndex0))),
% 24.46/16.17 inference(rewrite,[status(thm)],[])).
% 24.46/16.17 tff(8524,plain,
% 24.46/16.17 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB49)) | v130(constB49, bitIndex0))),
% 24.46/16.17 inference(quant_inst,[status(thm)],[])).
% 24.46/16.17 tff(8525,plain,
% 24.46/16.17 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB49)) | v130(constB49, bitIndex0)),
% 24.46/16.17 inference(modus_ponens,[status(thm)],[8524, 8523])).
% 24.46/16.17 tff(8526,plain,
% 24.46/16.17 (v130(constB49, bitIndex0)),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8525, 2600, 8522])).
% 24.46/16.17 tff(8527,assumption,(v26(constB49)), introduced(assumption)).
% 24.46/16.17 tff(8528,plain,
% 24.46/16.17 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB49))),
% 24.46/16.17 inference(quant_inst,[status(thm)],[])).
% 24.46/16.17 tff(8529,plain,
% 24.46/16.17 ($false),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8528, 797, 8527])).
% 24.46/16.17 tff(8530,plain,(~v26(constB49)), inference(lemma,lemma(discharge,[]))).
% 24.46/16.17 tff(8531,plain,
% 24.46/16.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0))),
% 24.46/16.17 inference(rewrite,[status(thm)],[])).
% 24.46/16.17 tff(8532,plain,
% 24.46/16.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0))),
% 24.46/16.17 inference(quant_inst,[status(thm)],[])).
% 24.46/16.17 tff(8533,plain,
% 24.46/16.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0)),
% 24.46/16.17 inference(modus_ponens,[status(thm)],[8532, 8531])).
% 24.46/16.17 tff(8534,plain,
% 24.46/16.17 ((~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0)),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8533, 1945, 8530])).
% 24.46/16.17 tff(8535,plain,
% 24.46/16.17 (v127(constB49, bitIndex0)),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8534, 8526])).
% 24.46/16.17 tff(8536,plain,
% 24.46/16.17 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 24.46/16.17 inference(rewrite,[status(thm)],[])).
% 24.46/16.17 tff(8537,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_49_1')).
% 24.46/16.17 tff(8538,plain,
% 24.46/16.17 (nextState(constB49, constB50)),
% 24.46/16.17 inference(modus_ponens,[status(thm)],[8537, 8536])).
% 24.46/16.17 tff(8539,plain,
% 24.46/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0))),
% 24.46/16.17 inference(rewrite,[status(thm)],[])).
% 24.46/16.17 tff(8540,plain,
% 24.46/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0))),
% 24.46/16.17 inference(quant_inst,[status(thm)],[])).
% 24.46/16.17 tff(8541,plain,
% 24.46/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0)),
% 24.46/16.17 inference(modus_ponens,[status(thm)],[8540, 8539])).
% 24.46/16.17 tff(8542,plain,
% 24.46/16.17 ((~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0)),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8541, 1960, 8538])).
% 24.46/16.17 tff(8543,plain,
% 24.46/16.17 (v129(constB50, bitIndex0)),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8542, 8535])).
% 24.46/16.17 tff(8544,assumption,(~v90(constB50, bitIndex0)), introduced(assumption)).
% 24.46/16.17 tff(8545,plain,
% 24.46/16.17 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))),
% 24.46/16.17 inference(rewrite,[status(thm)],[])).
% 24.46/16.17 tff(8546,plain,
% 24.46/16.17 ((v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0))) <=> (v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))),
% 24.46/16.17 inference(rewrite,[status(thm)],[])).
% 24.46/16.17 tff(8547,plain,
% 24.46/16.17 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50))))),
% 24.46/16.17 inference(monotonicity,[status(thm)],[8546])).
% 24.46/16.17 tff(8548,plain,
% 24.46/16.17 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))),
% 24.46/16.17 inference(transitivity,[status(thm)],[8547, 8545])).
% 24.46/16.17 tff(8549,plain,
% 24.46/16.17 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0)))),
% 24.46/16.17 inference(quant_inst,[status(thm)],[])).
% 24.46/16.17 tff(8550,plain,
% 24.46/16.17 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50))),
% 24.46/16.17 inference(modus_ponens,[status(thm)],[8549, 8548])).
% 24.46/16.17 tff(8551,plain,
% 24.46/16.17 ((~v129(constB50, bitIndex0)) | (~v100(constB50))),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8550, 1975, 8544])).
% 24.46/16.17 tff(8552,plain,
% 24.46/16.17 (~v100(constB50)),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8551, 8543])).
% 24.46/16.17 tff(8553,assumption,(~v100(constB50)), introduced(assumption)).
% 24.46/16.17 tff(8554,plain,
% 24.46/16.17 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))),
% 24.46/16.17 inference(rewrite,[status(thm)],[])).
% 24.46/16.17 tff(8555,plain,
% 24.46/16.17 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))),
% 24.46/16.17 inference(quant_inst,[status(thm)],[])).
% 24.46/16.17 tff(8556,plain,
% 24.46/16.17 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50))),
% 24.46/16.17 inference(modus_ponens,[status(thm)],[8555, 8554])).
% 24.46/16.17 tff(8557,plain,
% 24.46/16.17 (~v104(constB50)),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8556, 1100, 8538, 8314])).
% 24.46/16.17 tff(8558,plain,
% 24.46/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))),
% 24.46/16.17 inference(rewrite,[status(thm)],[])).
% 24.46/16.17 tff(8559,plain,
% 24.46/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))),
% 24.46/16.17 inference(quant_inst,[status(thm)],[])).
% 24.46/16.17 tff(8560,plain,
% 24.46/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v102(constB50) | v104(constB50)),
% 24.46/16.17 inference(modus_ponens,[status(thm)],[8559, 8558])).
% 24.46/16.17 tff(8561,plain,
% 24.46/16.17 (v102(constB50) | v104(constB50)),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8560, 1114, 8538])).
% 24.46/16.17 tff(8562,plain,
% 24.46/16.17 (v102(constB50)),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8561, 8557])).
% 24.46/16.17 tff(8563,plain,
% 24.46/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))),
% 24.46/16.17 inference(rewrite,[status(thm)],[])).
% 24.46/16.17 tff(8564,plain,
% 24.46/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))),
% 24.46/16.17 inference(quant_inst,[status(thm)],[])).
% 24.46/16.17 tff(8565,plain,
% 24.46/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50))),
% 24.46/16.17 inference(modus_ponens,[status(thm)],[8564, 8563])).
% 24.46/16.17 tff(8566,plain,
% 24.46/16.17 (v101(constB50) | (~v102(constB50))),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8565, 1129, 8538, 449])).
% 24.46/16.17 tff(8567,plain,
% 24.46/16.17 (v101(constB50)),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8566, 8562])).
% 24.46/16.17 tff(8568,plain,
% 24.46/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 24.46/16.17 inference(rewrite,[status(thm)],[])).
% 24.46/16.17 tff(8569,plain,
% 24.46/16.17 (((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50)) <=> ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 24.46/16.17 inference(rewrite,[status(thm)],[])).
% 24.46/16.17 tff(8570,plain,
% 24.46/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50))))),
% 24.46/16.17 inference(monotonicity,[status(thm)],[8569])).
% 24.46/16.17 tff(8571,plain,
% 24.46/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 24.46/16.17 inference(transitivity,[status(thm)],[8570, 8568])).
% 24.46/16.17 tff(8572,plain,
% 24.46/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))),
% 24.46/16.17 inference(quant_inst,[status(thm)],[])).
% 24.46/16.17 tff(8573,plain,
% 24.46/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 24.46/16.17 inference(modus_ponens,[status(thm)],[8572, 8571])).
% 24.46/16.17 tff(8574,plain,
% 24.46/16.17 (v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8573, 1144, 8538])).
% 24.46/16.17 tff(8575,plain,
% 24.46/16.17 (v100(constB50) | (~v110(constB50))),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8574, 8567])).
% 24.46/16.17 tff(8576,plain,
% 24.46/16.17 (~v110(constB50)),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8575, 8553])).
% 24.46/16.17 tff(8577,plain,
% 24.46/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 24.46/16.17 inference(rewrite,[status(thm)],[])).
% 24.46/16.17 tff(8578,plain,
% 24.46/16.17 (((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50)) <=> ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 24.46/16.17 inference(rewrite,[status(thm)],[])).
% 24.46/16.17 tff(8579,plain,
% 24.46/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49))))),
% 24.46/16.17 inference(monotonicity,[status(thm)],[8578])).
% 24.46/16.17 tff(8580,plain,
% 24.46/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 24.46/16.17 inference(transitivity,[status(thm)],[8579, 8577])).
% 24.46/16.17 tff(8581,plain,
% 24.46/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))),
% 24.46/16.17 inference(quant_inst,[status(thm)],[])).
% 24.46/16.17 tff(8582,plain,
% 24.46/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49))),
% 24.46/16.17 inference(modus_ponens,[status(thm)],[8581, 8580])).
% 24.46/16.17 tff(8583,plain,
% 24.46/16.17 (v110(constB50) | (~v108(constB49))),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8582, 1082, 8538])).
% 24.46/16.17 tff(8584,plain,
% 24.46/16.17 (~v108(constB49)),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8583, 8576])).
% 24.46/16.17 tff(8585,plain,
% 24.46/16.17 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB49) | (~v112(constB49)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v112(constB49)))),
% 24.46/16.17 inference(rewrite,[status(thm)],[])).
% 24.46/16.17 tff(8586,plain,
% 24.46/16.17 (((~v112(constB49)) | v108(constB49)) <=> (v108(constB49) | (~v112(constB49)))),
% 24.46/16.17 inference(rewrite,[status(thm)],[])).
% 24.46/16.17 tff(8587,plain,
% 24.46/16.17 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB49)) | v108(constB49))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB49) | (~v112(constB49))))),
% 24.46/16.17 inference(monotonicity,[status(thm)],[8586])).
% 24.46/16.17 tff(8588,plain,
% 24.46/16.17 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB49)) | v108(constB49))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v112(constB49)))),
% 24.46/16.17 inference(transitivity,[status(thm)],[8587, 8585])).
% 24.46/16.17 tff(8589,plain,
% 24.46/16.17 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB49)) | v108(constB49))),
% 24.46/16.17 inference(quant_inst,[status(thm)],[])).
% 24.46/16.17 tff(8590,plain,
% 24.46/16.17 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v112(constB49))),
% 24.46/16.17 inference(modus_ponens,[status(thm)],[8589, 8588])).
% 24.46/16.17 tff(8591,plain,
% 24.46/16.17 (~v112(constB49)),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8590, 1062, 8584])).
% 24.46/16.17 tff(8592,plain,
% 24.46/16.17 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB49) | (~v26(constB49)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v26(constB49)))),
% 24.46/16.17 inference(rewrite,[status(thm)],[])).
% 24.46/16.17 tff(8593,plain,
% 24.46/16.17 (((~v26(constB49)) | v108(constB49)) <=> (v108(constB49) | (~v26(constB49)))),
% 24.46/16.17 inference(rewrite,[status(thm)],[])).
% 24.46/16.17 tff(8594,plain,
% 24.46/16.17 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB49)) | v108(constB49))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB49) | (~v26(constB49))))),
% 24.46/16.17 inference(monotonicity,[status(thm)],[8593])).
% 24.46/16.17 tff(8595,plain,
% 24.46/16.17 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB49)) | v108(constB49))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v26(constB49)))),
% 24.46/16.17 inference(transitivity,[status(thm)],[8594, 8592])).
% 24.46/16.17 tff(8596,plain,
% 24.46/16.17 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB49)) | v108(constB49))),
% 24.46/16.17 inference(quant_inst,[status(thm)],[])).
% 24.46/16.17 tff(8597,plain,
% 24.46/16.17 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v26(constB49))),
% 24.46/16.17 inference(modus_ponens,[status(thm)],[8596, 8595])).
% 24.46/16.17 tff(8598,plain,
% 24.46/16.17 (~v26(constB49)),
% 24.46/16.17 inference(unit_resolution,[status(thm)],[8597, 2441, 8584])).
% 24.46/16.17 tff(8599,plain,
% 24.46/16.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | v112(constB49) | (~v113(constB49)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | v112(constB49) | (~v113(constB49)))),
% 24.46/16.17 inference(rewrite,[status(thm)],[])).
% 24.46/16.17 tff(8600,plain,
% 24.46/16.17 ((v26(constB49) | (~v113(constB49)) | v112(constB49)) <=> (v26(constB49) | v112(constB49) | (~v113(constB49)))),
% 24.46/16.17 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8601,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | v112(constB49) | (~v113(constB49))))),
% 24.46/16.18 inference(monotonicity,[status(thm)],[8600])).
% 24.46/16.18 tff(8602,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | v112(constB49) | (~v113(constB49)))),
% 24.46/16.18 inference(transitivity,[status(thm)],[8601, 8599])).
% 24.46/16.18 tff(8603,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))),
% 24.46/16.18 inference(quant_inst,[status(thm)],[])).
% 24.46/16.18 tff(8604,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | v112(constB49) | (~v113(constB49))),
% 24.46/16.18 inference(modus_ponens,[status(thm)],[8603, 8602])).
% 24.46/16.18 tff(8605,plain,
% 24.46/16.18 (~v113(constB49)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8604, 1050, 8598, 8591])).
% 24.46/16.18 tff(8606,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB49)) | v113(constB49))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB49)) | v113(constB49))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8607,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB49)) | v113(constB49))),
% 24.46/16.18 inference(quant_inst,[status(thm)],[])).
% 24.46/16.18 tff(8608,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB49)) | v113(constB49)),
% 24.46/16.18 inference(modus_ponens,[status(thm)],[8607, 8606])).
% 24.46/16.18 tff(8609,plain,
% 24.46/16.18 (~v114(constB49)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8608, 1036, 8605])).
% 24.46/16.18 tff(8610,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB49) | (~v115(constB49)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB49) | (~v115(constB49)))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8611,plain,
% 24.46/16.18 (((~v115(constB49)) | v114(constB49)) <=> (v114(constB49) | (~v115(constB49)))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8612,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB49)) | v114(constB49))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB49) | (~v115(constB49))))),
% 24.46/16.18 inference(monotonicity,[status(thm)],[8611])).
% 24.46/16.18 tff(8613,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB49)) | v114(constB49))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB49) | (~v115(constB49)))),
% 24.46/16.18 inference(transitivity,[status(thm)],[8612, 8610])).
% 24.46/16.18 tff(8614,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB49)) | v114(constB49))),
% 24.46/16.18 inference(quant_inst,[status(thm)],[])).
% 24.46/16.18 tff(8615,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB49) | (~v115(constB49))),
% 24.46/16.18 inference(modus_ponens,[status(thm)],[8614, 8613])).
% 24.46/16.18 tff(8616,plain,
% 24.46/16.18 (~v115(constB49)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8615, 1022, 8609])).
% 24.46/16.18 tff(8617,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB49)) | v115(constB49))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB49)) | v115(constB49))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8618,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB49)) | v115(constB49))),
% 24.46/16.18 inference(quant_inst,[status(thm)],[])).
% 24.46/16.18 tff(8619,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB49)) | v115(constB49)),
% 24.46/16.18 inference(modus_ponens,[status(thm)],[8618, 8617])).
% 24.46/16.18 tff(8620,plain,
% 24.46/16.18 (~v116(constB49)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8619, 1008, 8616])).
% 24.46/16.18 tff(8621,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB49) | (~v117(constB49)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB49) | (~v117(constB49)))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8622,plain,
% 24.46/16.18 (((~v117(constB49)) | v116(constB49)) <=> (v116(constB49) | (~v117(constB49)))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8623,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB49)) | v116(constB49))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB49) | (~v117(constB49))))),
% 24.46/16.18 inference(monotonicity,[status(thm)],[8622])).
% 24.46/16.18 tff(8624,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB49)) | v116(constB49))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB49) | (~v117(constB49)))),
% 24.46/16.18 inference(transitivity,[status(thm)],[8623, 8621])).
% 24.46/16.18 tff(8625,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB49)) | v116(constB49))),
% 24.46/16.18 inference(quant_inst,[status(thm)],[])).
% 24.46/16.18 tff(8626,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB49) | (~v117(constB49))),
% 24.46/16.18 inference(modus_ponens,[status(thm)],[8625, 8624])).
% 24.46/16.18 tff(8627,plain,
% 24.46/16.18 (~v117(constB49)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8626, 994, 8620])).
% 24.46/16.18 tff(8628,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB49) | (~v121(constB49)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB49) | (~v121(constB49)))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8629,plain,
% 24.46/16.18 (((~v121(constB49)) | v117(constB49)) <=> (v117(constB49) | (~v121(constB49)))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8630,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB49)) | v117(constB49))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB49) | (~v121(constB49))))),
% 24.46/16.18 inference(monotonicity,[status(thm)],[8629])).
% 24.46/16.18 tff(8631,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB49)) | v117(constB49))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB49) | (~v121(constB49)))),
% 24.46/16.18 inference(transitivity,[status(thm)],[8630, 8628])).
% 24.46/16.18 tff(8632,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB49)) | v117(constB49))),
% 24.46/16.18 inference(quant_inst,[status(thm)],[])).
% 24.46/16.18 tff(8633,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB49) | (~v121(constB49))),
% 24.46/16.18 inference(modus_ponens,[status(thm)],[8632, 8631])).
% 24.46/16.18 tff(8634,plain,
% 24.46/16.18 (~v121(constB49)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8633, 2102, 8627])).
% 24.46/16.18 tff(8635,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB49) | (~v118(constB49)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB49) | (~v118(constB49)))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8636,plain,
% 24.46/16.18 (((~v118(constB49)) | v117(constB49)) <=> (v117(constB49) | (~v118(constB49)))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8637,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB49)) | v117(constB49))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB49) | (~v118(constB49))))),
% 24.46/16.18 inference(monotonicity,[status(thm)],[8636])).
% 24.46/16.18 tff(8638,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB49)) | v117(constB49))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB49) | (~v118(constB49)))),
% 24.46/16.18 inference(transitivity,[status(thm)],[8637, 8635])).
% 24.46/16.18 tff(8639,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB49)) | v117(constB49))),
% 24.46/16.18 inference(quant_inst,[status(thm)],[])).
% 24.46/16.18 tff(8640,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB49) | (~v118(constB49))),
% 24.46/16.18 inference(modus_ponens,[status(thm)],[8639, 8638])).
% 24.46/16.18 tff(8641,plain,
% 24.46/16.18 (~v118(constB49)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8640, 980, 8627])).
% 24.46/16.18 tff(8642,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB49)) | v118(constB49))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB49)) | v118(constB49))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8643,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB49)) | v118(constB49))),
% 24.46/16.18 inference(quant_inst,[status(thm)],[])).
% 24.46/16.18 tff(8644,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB49)) | v118(constB49)),
% 24.46/16.18 inference(modus_ponens,[status(thm)],[8643, 8642])).
% 24.46/16.18 tff(8645,plain,
% 24.46/16.18 (~v120(constB49)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8644, 2210, 8641])).
% 24.46/16.18 tff(8646,assumption,(~v90(constB50, bitIndex2)), introduced(assumption)).
% 24.46/16.18 tff(8647,plain,
% 24.46/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB49, bitIndex2)) | (~nextState(constB49, constB50)) | v100(constB50) | v90(constB50, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB49, bitIndex2)) | (~nextState(constB49, constB50)) | v100(constB50) | v90(constB50, bitIndex2))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8648,plain,
% 24.46/16.18 (((~nextState(constB49, constB50)) | (~v90(constB49, bitIndex2)) | v100(constB50) | v90(constB50, bitIndex2)) <=> ((~v90(constB49, bitIndex2)) | (~nextState(constB49, constB50)) | v100(constB50) | v90(constB50, bitIndex2))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8649,plain,
% 24.46/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB49, constB50)) | (~v90(constB49, bitIndex2)) | v100(constB50) | v90(constB50, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB49, bitIndex2)) | (~nextState(constB49, constB50)) | v100(constB50) | v90(constB50, bitIndex2)))),
% 24.46/16.18 inference(monotonicity,[status(thm)],[8648])).
% 24.46/16.18 tff(8650,plain,
% 24.46/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB49, constB50)) | (~v90(constB49, bitIndex2)) | v100(constB50) | v90(constB50, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB49, bitIndex2)) | (~nextState(constB49, constB50)) | v100(constB50) | v90(constB50, bitIndex2))),
% 24.46/16.18 inference(transitivity,[status(thm)],[8649, 8647])).
% 24.46/16.18 tff(8651,plain,
% 24.46/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB49, constB50)) | (~v90(constB49, bitIndex2)) | v100(constB50) | v90(constB50, bitIndex2))),
% 24.46/16.18 inference(quant_inst,[status(thm)],[])).
% 24.46/16.18 tff(8652,plain,
% 24.46/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB49, bitIndex2)) | (~nextState(constB49, constB50)) | v100(constB50) | v90(constB50, bitIndex2)),
% 24.46/16.18 inference(modus_ponens,[status(thm)],[8651, 8650])).
% 24.46/16.18 tff(8653,plain,
% 24.46/16.18 ((~v90(constB49, bitIndex2)) | v100(constB50) | v90(constB50, bitIndex2)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8652, 1240, 8538])).
% 24.46/16.18 tff(8654,plain,
% 24.46/16.18 (~v90(constB49, bitIndex2)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8653, 8553, 8646])).
% 24.46/16.18 tff(8655,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB49) | (~v119(constB49)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB49) | (~v119(constB49)))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8656,plain,
% 24.46/16.18 (((~v119(constB49)) | v118(constB49)) <=> (v118(constB49) | (~v119(constB49)))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8657,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB49)) | v118(constB49))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB49) | (~v119(constB49))))),
% 24.46/16.18 inference(monotonicity,[status(thm)],[8656])).
% 24.46/16.18 tff(8658,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB49)) | v118(constB49))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB49) | (~v119(constB49)))),
% 24.46/16.18 inference(transitivity,[status(thm)],[8657, 8655])).
% 24.46/16.18 tff(8659,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB49)) | v118(constB49))),
% 24.46/16.18 inference(quant_inst,[status(thm)],[])).
% 24.46/16.18 tff(8660,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB49) | (~v119(constB49))),
% 24.46/16.18 inference(modus_ponens,[status(thm)],[8659, 8658])).
% 24.46/16.18 tff(8661,plain,
% 24.46/16.18 (~v119(constB49)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8660, 969, 8641])).
% 24.46/16.18 tff(8662,assumption,(~v119(constB49)), introduced(assumption)).
% 24.46/16.18 tff(8663,assumption,(~v90(constB49, bitIndex1)), introduced(assumption)).
% 24.46/16.18 tff(8664,assumption,(~v120(constB49)), introduced(assumption)).
% 24.46/16.18 tff(8665,assumption,(~v90(constB49, bitIndex2)), introduced(assumption)).
% 24.46/16.18 tff(8666,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB49, bitIndex0)) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2) | v120(constB49))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB49, bitIndex0)) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2) | v120(constB49))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8667,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB49, bitIndex0)) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2) | v120(constB49))),
% 24.46/16.18 inference(quant_inst,[status(thm)],[])).
% 24.46/16.18 tff(8668,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB49, bitIndex0)) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2) | v120(constB49)),
% 24.46/16.18 inference(modus_ponens,[status(thm)],[8667, 8666])).
% 24.46/16.18 tff(8669,plain,
% 24.46/16.18 ((~v90(constB49, bitIndex0)) | v90(constB49, bitIndex1) | v120(constB49)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8668, 2012, 8665])).
% 24.46/16.18 tff(8670,plain,
% 24.46/16.18 (~v90(constB49, bitIndex0)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8669, 8663, 8664])).
% 24.46/16.18 tff(8671,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2) | v119(constB49))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2) | v119(constB49))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8672,plain,
% 24.46/16.18 ((v90(constB49, bitIndex0) | v119(constB49) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2)) <=> (v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2) | v119(constB49))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8673,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB49, bitIndex0) | v119(constB49) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2) | v119(constB49)))),
% 24.46/16.18 inference(monotonicity,[status(thm)],[8672])).
% 24.46/16.18 tff(8674,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB49, bitIndex0) | v119(constB49) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2) | v119(constB49))),
% 24.46/16.18 inference(transitivity,[status(thm)],[8673, 8671])).
% 24.46/16.18 tff(8675,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB49, bitIndex0) | v119(constB49) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2))),
% 24.46/16.18 inference(quant_inst,[status(thm)],[])).
% 24.46/16.18 tff(8676,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2) | v119(constB49)),
% 24.46/16.18 inference(modus_ponens,[status(thm)],[8675, 8674])).
% 24.46/16.18 tff(8677,plain,
% 24.46/16.18 (v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | v119(constB49)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8676, 955, 8665])).
% 24.46/16.18 tff(8678,plain,
% 24.46/16.18 ($false),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8677, 8670, 8663, 8662])).
% 24.46/16.18 tff(8679,plain,(v90(constB49, bitIndex1) | v119(constB49) | v90(constB49, bitIndex2) | v120(constB49)), inference(lemma,lemma(discharge,[]))).
% 24.46/16.18 tff(8680,plain,
% 24.46/16.18 (v90(constB49, bitIndex1)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8679, 8661, 8654, 8645])).
% 24.46/16.18 tff(8681,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB49)) | v116(constB49))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB49)) | v116(constB49))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8682,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB49)) | v116(constB49))),
% 24.46/16.18 inference(quant_inst,[status(thm)],[])).
% 24.46/16.18 tff(8683,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB49)) | v116(constB49)),
% 24.46/16.18 inference(modus_ponens,[status(thm)],[8682, 8681])).
% 24.46/16.18 tff(8684,plain,
% 24.46/16.18 (~v122(constB49)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8683, 2652, 8620])).
% 24.46/16.18 tff(8685,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex2) | v122(constB49))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex2) | v122(constB49))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8686,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex2) | v122(constB49))),
% 24.46/16.18 inference(quant_inst,[status(thm)],[])).
% 24.46/16.18 tff(8687,plain,
% 24.46/16.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex2) | v122(constB49)),
% 24.46/16.18 inference(modus_ponens,[status(thm)],[8686, 8685])).
% 24.46/16.18 tff(8688,plain,
% 24.46/16.18 ((~v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex1)) | v122(constB49)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8687, 2641, 8654])).
% 24.46/16.18 tff(8689,plain,
% 24.46/16.18 (~v90(constB49, bitIndex0)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8688, 8680, 8684])).
% 24.46/16.18 tff(8690,plain,
% 24.46/16.18 (v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | v121(constB49)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8520, 2145, 8654])).
% 24.46/16.18 tff(8691,plain,
% 24.46/16.18 ($false),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8690, 8689, 8680, 8634])).
% 24.46/16.18 tff(8692,plain,(v100(constB50) | v90(constB50, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 24.46/16.18 tff(8693,plain,
% 24.46/16.18 (v90(constB50, bitIndex2)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8692, 8552])).
% 24.46/16.18 tff(8694,plain,
% 24.46/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB49, bitIndex2) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB49, bitIndex2) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex2)))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8695,plain,
% 24.46/16.18 (((~nextState(constB49, constB50)) | v90(constB49, bitIndex2) | v100(constB50) | (~v90(constB50, bitIndex2))) <=> (v90(constB49, bitIndex2) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex2)))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8696,plain,
% 24.46/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v90(constB49, bitIndex2) | v100(constB50) | (~v90(constB50, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB49, bitIndex2) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex2))))),
% 24.46/16.18 inference(monotonicity,[status(thm)],[8695])).
% 24.46/16.18 tff(8697,plain,
% 24.46/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v90(constB49, bitIndex2) | v100(constB50) | (~v90(constB50, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB49, bitIndex2) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex2)))),
% 24.46/16.18 inference(transitivity,[status(thm)],[8696, 8694])).
% 24.46/16.18 tff(8698,plain,
% 24.46/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v90(constB49, bitIndex2) | v100(constB50) | (~v90(constB50, bitIndex2)))),
% 24.46/16.18 inference(quant_inst,[status(thm)],[])).
% 24.46/16.18 tff(8699,plain,
% 24.46/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB49, bitIndex2) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex2))),
% 24.46/16.18 inference(modus_ponens,[status(thm)],[8698, 8697])).
% 24.46/16.18 tff(8700,plain,
% 24.46/16.18 (v90(constB49, bitIndex2) | v100(constB50) | (~v90(constB50, bitIndex2))),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8699, 892, 8538])).
% 24.46/16.18 tff(8701,plain,
% 24.46/16.18 ($false),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8700, 8693, 8552, 8338])).
% 24.46/16.18 tff(8702,plain,(v90(constB48, bitIndex2) | v90(constB50, bitIndex0) | v90(constB48, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 24.46/16.18 tff(8703,plain,
% 24.46/16.18 (v90(constB50, bitIndex0)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8702, 8310, 8288])).
% 24.46/16.18 tff(8704,plain,
% 24.46/16.18 ((~v1(constB51)) <=> (~v1(constB51))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8705,axiom,(~v1(constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_51_1_1')).
% 24.46/16.18 tff(8706,plain,
% 24.46/16.18 (~v1(constB51)),
% 24.46/16.18 inference(modus_ponens,[status(thm)],[8705, 8704])).
% 24.46/16.18 tff(8707,plain,
% 24.46/16.18 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8708,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_50_1')).
% 24.46/16.18 tff(8709,plain,
% 24.46/16.18 (nextState(constB50, constB51)),
% 24.46/16.18 inference(modus_ponens,[status(thm)],[8708, 8707])).
% 24.46/16.18 tff(8710,plain,
% 24.46/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8711,plain,
% 24.46/16.18 (((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51)) <=> (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8712,plain,
% 24.46/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51))))),
% 24.46/16.18 inference(monotonicity,[status(thm)],[8711])).
% 24.46/16.18 tff(8713,plain,
% 24.46/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 24.46/16.18 inference(transitivity,[status(thm)],[8712, 8710])).
% 24.46/16.18 tff(8714,plain,
% 24.46/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))),
% 24.46/16.18 inference(quant_inst,[status(thm)],[])).
% 24.46/16.18 tff(8715,plain,
% 24.46/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51))),
% 24.46/16.18 inference(modus_ponens,[status(thm)],[8714, 8713])).
% 24.46/16.18 tff(8716,plain,
% 24.46/16.18 (~v101(constB51)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8715, 860, 8709, 8706])).
% 24.46/16.18 tff(8717,plain,
% 24.46/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8718,plain,
% 24.46/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))),
% 24.46/16.18 inference(quant_inst,[status(thm)],[])).
% 24.46/16.18 tff(8719,plain,
% 24.46/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51))),
% 24.46/16.18 inference(modus_ponens,[status(thm)],[8718, 8717])).
% 24.46/16.18 tff(8720,plain,
% 24.46/16.18 (v101(constB51) | (~v100(constB51))),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8719, 877, 8709])).
% 24.46/16.18 tff(8721,plain,
% 24.46/16.18 (~v100(constB51)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8720, 8716])).
% 24.46/16.18 tff(8722,plain,
% 24.46/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8723,plain,
% 24.46/16.18 (((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0)) <=> ((~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))),
% 24.46/16.18 inference(rewrite,[status(thm)],[])).
% 24.46/16.18 tff(8724,plain,
% 24.46/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0)))),
% 24.46/16.18 inference(monotonicity,[status(thm)],[8723])).
% 24.46/16.18 tff(8725,plain,
% 24.46/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))),
% 24.46/16.18 inference(transitivity,[status(thm)],[8724, 8722])).
% 24.46/16.18 tff(8726,plain,
% 24.46/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0))),
% 24.46/16.18 inference(quant_inst,[status(thm)],[])).
% 24.46/16.18 tff(8727,plain,
% 24.46/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0)),
% 24.46/16.18 inference(modus_ponens,[status(thm)],[8726, 8725])).
% 24.46/16.18 tff(8728,plain,
% 24.46/16.18 ((~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8727, 1993, 8709])).
% 24.46/16.18 tff(8729,plain,
% 24.46/16.18 ((~v90(constB50, bitIndex0)) | v90(constB51, bitIndex0)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8728, 8721])).
% 24.46/16.18 tff(8730,plain,
% 24.46/16.18 (v90(constB51, bitIndex0)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8729, 8703])).
% 24.46/16.18 tff(8731,plain,
% 24.46/16.18 (~v90(constB49, bitIndex2)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8337, 8310])).
% 24.46/16.18 tff(8732,plain,
% 24.46/16.18 (v130(constB47, bitIndex1)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8452, 2034, 8168])).
% 24.46/16.18 tff(8733,plain,
% 24.46/16.18 (v127(constB47, bitIndex1)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8419, 8732])).
% 24.46/16.18 tff(8734,plain,
% 24.46/16.18 (v129(constB48, bitIndex1)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8414, 8733])).
% 24.46/16.18 tff(8735,plain,
% 24.46/16.18 (v90(constB48, bitIndex1) | (~v100(constB48))),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8408, 1583, 8734])).
% 24.46/16.18 tff(8736,plain,
% 24.46/16.18 (v90(constB48, bitIndex1)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8735, 8263])).
% 24.46/16.18 tff(8737,plain,
% 24.46/16.18 (v90(constB49, bitIndex1)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8507, 8736])).
% 24.46/16.18 tff(8738,plain,
% 24.46/16.18 (~v90(constB49, bitIndex0)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8516, 8288])).
% 24.46/16.18 tff(8739,plain,
% 24.46/16.18 (v121(constB49)),
% 24.46/16.18 inference(unit_resolution,[status(thm)],[8520, 2145, 8738, 8737, 8731])).
% 24.46/16.18 tff(8740,plain,
% 24.46/16.18 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB49)) | v130(constB49, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB49)) | v130(constB49, bitIndex1))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8741,plain,
% 24.46/16.19 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB49)) | v130(constB49, bitIndex1))),
% 24.46/16.19 inference(quant_inst,[status(thm)],[])).
% 24.46/16.19 tff(8742,plain,
% 24.46/16.19 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB49)) | v130(constB49, bitIndex1)),
% 24.46/16.19 inference(modus_ponens,[status(thm)],[8741, 8740])).
% 24.46/16.19 tff(8743,plain,
% 24.46/16.19 (v130(constB49, bitIndex1)),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8742, 2562, 8739])).
% 24.46/16.19 tff(8744,plain,
% 24.46/16.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB49) | (~v130(constB49, bitIndex1)) | v127(constB49, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB49) | (~v130(constB49, bitIndex1)) | v127(constB49, bitIndex1))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8745,plain,
% 24.46/16.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB49) | (~v130(constB49, bitIndex1)) | v127(constB49, bitIndex1))),
% 24.46/16.19 inference(quant_inst,[status(thm)],[])).
% 24.46/16.19 tff(8746,plain,
% 24.46/16.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB49) | (~v130(constB49, bitIndex1)) | v127(constB49, bitIndex1)),
% 24.46/16.19 inference(modus_ponens,[status(thm)],[8745, 8744])).
% 24.46/16.19 tff(8747,plain,
% 24.46/16.19 ((~v130(constB49, bitIndex1)) | v127(constB49, bitIndex1)),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8746, 1553, 8530])).
% 24.46/16.19 tff(8748,plain,
% 24.46/16.19 (v127(constB49, bitIndex1)),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8747, 8743])).
% 24.46/16.19 tff(8749,plain,
% 24.46/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB49, constB50)) | (~v127(constB49, bitIndex1)) | v129(constB50, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB49, constB50)) | (~v127(constB49, bitIndex1)) | v129(constB50, bitIndex1))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8750,plain,
% 24.46/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB49, constB50)) | (~v127(constB49, bitIndex1)) | v129(constB50, bitIndex1))),
% 24.46/16.19 inference(quant_inst,[status(thm)],[])).
% 24.46/16.19 tff(8751,plain,
% 24.46/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB49, constB50)) | (~v127(constB49, bitIndex1)) | v129(constB50, bitIndex1)),
% 24.46/16.19 inference(modus_ponens,[status(thm)],[8750, 8749])).
% 24.46/16.19 tff(8752,plain,
% 24.46/16.19 ((~v127(constB49, bitIndex1)) | v129(constB50, bitIndex1)),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8751, 1568, 8538])).
% 24.46/16.19 tff(8753,plain,
% 24.46/16.19 (v129(constB50, bitIndex1)),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8752, 8748])).
% 24.46/16.19 tff(8754,plain,
% 24.46/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB49, bitIndex0) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB49, bitIndex0) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex0)))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8755,plain,
% 24.46/16.19 (((~nextState(constB49, constB50)) | v90(constB49, bitIndex0) | v100(constB50) | (~v90(constB50, bitIndex0))) <=> (v90(constB49, bitIndex0) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex0)))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8756,plain,
% 24.46/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB49, constB50)) | v90(constB49, bitIndex0) | v100(constB50) | (~v90(constB50, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB49, bitIndex0) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex0))))),
% 24.46/16.19 inference(monotonicity,[status(thm)],[8755])).
% 24.46/16.19 tff(8757,plain,
% 24.46/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB49, constB50)) | v90(constB49, bitIndex0) | v100(constB50) | (~v90(constB50, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB49, bitIndex0) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex0)))),
% 24.46/16.19 inference(transitivity,[status(thm)],[8756, 8754])).
% 24.46/16.19 tff(8758,plain,
% 24.46/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB49, constB50)) | v90(constB49, bitIndex0) | v100(constB50) | (~v90(constB50, bitIndex0)))),
% 24.46/16.19 inference(quant_inst,[status(thm)],[])).
% 24.46/16.19 tff(8759,plain,
% 24.46/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB49, bitIndex0) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex0))),
% 24.46/16.19 inference(modus_ponens,[status(thm)],[8758, 8757])).
% 24.46/16.19 tff(8760,plain,
% 24.46/16.19 (v90(constB49, bitIndex0) | v100(constB50) | (~v90(constB50, bitIndex0))),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8759, 934, 8538])).
% 24.46/16.19 tff(8761,plain,
% 24.46/16.19 (v100(constB50)),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8760, 8738, 8703])).
% 24.46/16.19 tff(8762,plain,
% 24.46/16.19 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~v129(constB50, bitIndex1)) | (~v100(constB50)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~v129(constB50, bitIndex1)) | (~v100(constB50)))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8763,plain,
% 24.46/16.19 ((v90(constB50, bitIndex1) | (~v100(constB50)) | (~v129(constB50, bitIndex1))) <=> (v90(constB50, bitIndex1) | (~v129(constB50, bitIndex1)) | (~v100(constB50)))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8764,plain,
% 24.46/16.19 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~v100(constB50)) | (~v129(constB50, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~v129(constB50, bitIndex1)) | (~v100(constB50))))),
% 24.46/16.19 inference(monotonicity,[status(thm)],[8763])).
% 24.46/16.19 tff(8765,plain,
% 24.46/16.19 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~v100(constB50)) | (~v129(constB50, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~v129(constB50, bitIndex1)) | (~v100(constB50)))),
% 24.46/16.19 inference(transitivity,[status(thm)],[8764, 8762])).
% 24.46/16.19 tff(8766,plain,
% 24.46/16.19 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~v100(constB50)) | (~v129(constB50, bitIndex1)))),
% 24.46/16.19 inference(quant_inst,[status(thm)],[])).
% 24.46/16.19 tff(8767,plain,
% 24.46/16.19 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~v129(constB50, bitIndex1)) | (~v100(constB50))),
% 24.46/16.19 inference(modus_ponens,[status(thm)],[8766, 8765])).
% 24.46/16.19 tff(8768,plain,
% 24.46/16.19 (v90(constB50, bitIndex1) | (~v129(constB50, bitIndex1))),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8767, 1583, 8761])).
% 24.46/16.19 tff(8769,plain,
% 24.46/16.19 (v90(constB50, bitIndex1)),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8768, 8753])).
% 24.46/16.19 tff(8770,plain,
% 24.46/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex1))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8771,plain,
% 24.46/16.19 (((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex1)) | v100(constB51) | v90(constB51, bitIndex1)) <=> ((~v90(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex1))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8772,plain,
% 24.46/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex1)) | v100(constB51) | v90(constB51, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex1)))),
% 24.46/16.19 inference(monotonicity,[status(thm)],[8771])).
% 24.46/16.19 tff(8773,plain,
% 24.46/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex1)) | v100(constB51) | v90(constB51, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex1))),
% 24.46/16.19 inference(transitivity,[status(thm)],[8772, 8770])).
% 24.46/16.19 tff(8774,plain,
% 24.46/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex1)) | v100(constB51) | v90(constB51, bitIndex1))),
% 24.46/16.19 inference(quant_inst,[status(thm)],[])).
% 24.46/16.19 tff(8775,plain,
% 24.46/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex1)),
% 24.46/16.19 inference(modus_ponens,[status(thm)],[8774, 8773])).
% 24.46/16.19 tff(8776,plain,
% 24.46/16.19 ((~v90(constB50, bitIndex1)) | v100(constB51) | v90(constB51, bitIndex1)),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8775, 1601, 8709])).
% 24.46/16.19 tff(8777,plain,
% 24.46/16.19 ((~v90(constB50, bitIndex1)) | v90(constB51, bitIndex1)),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8776, 8721])).
% 24.46/16.19 tff(8778,plain,
% 24.46/16.19 (v90(constB51, bitIndex1)),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8777, 8769])).
% 24.46/16.19 tff(8779,plain,
% 24.46/16.19 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB49)) | (~v130(constB49, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB49)) | (~v130(constB49, bitIndex2)))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8780,plain,
% 24.46/16.19 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB49)) | (~v130(constB49, bitIndex2)))),
% 24.46/16.19 inference(quant_inst,[status(thm)],[])).
% 24.46/16.19 tff(8781,plain,
% 24.46/16.19 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB49)) | (~v130(constB49, bitIndex2))),
% 24.46/16.19 inference(modus_ponens,[status(thm)],[8780, 8779])).
% 24.46/16.19 tff(8782,plain,
% 24.46/16.19 (~v130(constB49, bitIndex2)),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8781, 2406, 8739])).
% 24.46/16.19 tff(8783,plain,
% 24.46/16.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8784,plain,
% 24.46/16.19 ((v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2))) <=> ((~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8785,plain,
% 24.46/16.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2)))),
% 24.46/16.19 inference(monotonicity,[status(thm)],[8784])).
% 24.46/16.19 tff(8786,plain,
% 24.46/16.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))),
% 24.46/16.19 inference(transitivity,[status(thm)],[8785, 8783])).
% 24.46/16.19 tff(8787,plain,
% 24.46/16.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2)))),
% 24.46/16.19 inference(quant_inst,[status(thm)],[])).
% 24.46/16.19 tff(8788,plain,
% 24.46/16.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2)),
% 24.46/16.19 inference(modus_ponens,[status(thm)],[8787, 8786])).
% 24.46/16.19 tff(8789,plain,
% 24.46/16.19 ((~v127(constB49, bitIndex2)) | v130(constB49, bitIndex2)),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8788, 1812, 8530])).
% 24.46/16.19 tff(8790,plain,
% 24.46/16.19 (~v127(constB49, bitIndex2)),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8789, 8782])).
% 24.46/16.19 tff(8791,plain,
% 24.46/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2)))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8792,plain,
% 24.46/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2)))),
% 24.46/16.19 inference(quant_inst,[status(thm)],[])).
% 24.46/16.19 tff(8793,plain,
% 24.46/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2))),
% 24.46/16.19 inference(modus_ponens,[status(thm)],[8792, 8791])).
% 24.46/16.19 tff(8794,plain,
% 24.46/16.19 (v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2))),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8793, 1830, 8538])).
% 24.46/16.19 tff(8795,plain,
% 24.46/16.19 (~v129(constB50, bitIndex2)),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8794, 8790])).
% 24.46/16.19 tff(8796,plain,
% 24.46/16.19 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8797,plain,
% 24.46/16.19 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))),
% 24.46/16.19 inference(quant_inst,[status(thm)],[])).
% 24.46/16.19 tff(8798,plain,
% 24.46/16.19 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50))),
% 24.46/16.19 inference(modus_ponens,[status(thm)],[8797, 8796])).
% 24.46/16.19 tff(8799,plain,
% 24.46/16.19 ((~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2)),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8798, 1845, 8761])).
% 24.46/16.19 tff(8800,plain,
% 24.46/16.19 (~v90(constB50, bitIndex2)),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8799, 8795])).
% 24.46/16.19 tff(8801,plain,
% 24.46/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8802,plain,
% 24.46/16.19 (((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2))) <=> (v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8803,plain,
% 24.46/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2))))),
% 24.46/16.19 inference(monotonicity,[status(thm)],[8802])).
% 24.46/16.19 tff(8804,plain,
% 24.46/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 24.46/16.19 inference(transitivity,[status(thm)],[8803, 8801])).
% 24.46/16.19 tff(8805,plain,
% 24.46/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 24.46/16.19 inference(quant_inst,[status(thm)],[])).
% 24.46/16.19 tff(8806,plain,
% 24.46/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2))),
% 24.46/16.19 inference(modus_ponens,[status(thm)],[8805, 8804])).
% 24.46/16.19 tff(8807,plain,
% 24.46/16.19 (v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2))),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8806, 892, 8709])).
% 24.46/16.19 tff(8808,plain,
% 24.46/16.19 (v90(constB50, bitIndex2) | (~v90(constB51, bitIndex2))),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8807, 8721])).
% 24.46/16.19 tff(8809,plain,
% 24.46/16.19 (~v90(constB51, bitIndex2)),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8808, 8800])).
% 24.46/16.19 tff(8810,assumption,(~v122(constB51)), introduced(assumption)).
% 24.46/16.19 tff(8811,plain,
% 24.46/16.19 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB51, bitIndex0)) | (~v90(constB51, bitIndex1)) | v90(constB51, bitIndex2) | v122(constB51))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB51, bitIndex0)) | (~v90(constB51, bitIndex1)) | v90(constB51, bitIndex2) | v122(constB51))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8812,plain,
% 24.46/16.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB51, bitIndex0)) | (~v90(constB51, bitIndex1)) | v90(constB51, bitIndex2) | v122(constB51))),
% 24.46/16.19 inference(quant_inst,[status(thm)],[])).
% 24.46/16.19 tff(8813,plain,
% 24.46/16.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB51, bitIndex0)) | (~v90(constB51, bitIndex1)) | v90(constB51, bitIndex2) | v122(constB51)),
% 24.46/16.19 inference(modus_ponens,[status(thm)],[8812, 8811])).
% 24.46/16.19 tff(8814,plain,
% 24.46/16.19 ((~v90(constB51, bitIndex0)) | (~v90(constB51, bitIndex1)) | v90(constB51, bitIndex2)),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8813, 2641, 8810])).
% 24.46/16.19 tff(8815,plain,
% 24.46/16.19 ($false),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8814, 8809, 8778, 8730])).
% 24.46/16.19 tff(8816,plain,((~v120(constB47)) | v122(constB51)), inference(lemma,lemma(discharge,[]))).
% 24.46/16.19 tff(8817,plain,
% 24.46/16.19 (v122(constB51)),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8816, 8167])).
% 24.46/16.19 tff(8818,assumption,(v122(constB51)), introduced(assumption)).
% 24.46/16.19 tff(8819,plain,
% 24.46/16.19 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB51)) | v116(constB51))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB51)) | v116(constB51))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8820,plain,
% 24.46/16.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB51)) | v116(constB51))),
% 24.46/16.19 inference(quant_inst,[status(thm)],[])).
% 24.46/16.19 tff(8821,plain,
% 24.46/16.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB51)) | v116(constB51)),
% 24.46/16.19 inference(modus_ponens,[status(thm)],[8820, 8819])).
% 24.46/16.19 tff(8822,plain,
% 24.46/16.19 (v116(constB51)),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8821, 2652, 8818])).
% 24.46/16.19 tff(8823,plain,
% 24.46/16.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB51) | (~v116(constB51)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB51) | (~v116(constB51)))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8824,plain,
% 24.46/16.19 (((~v116(constB51)) | v115(constB51)) <=> (v115(constB51) | (~v116(constB51)))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8825,plain,
% 24.46/16.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB51)) | v115(constB51))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB51) | (~v116(constB51))))),
% 24.46/16.19 inference(monotonicity,[status(thm)],[8824])).
% 24.46/16.19 tff(8826,plain,
% 24.46/16.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB51)) | v115(constB51))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB51) | (~v116(constB51)))),
% 24.46/16.19 inference(transitivity,[status(thm)],[8825, 8823])).
% 24.46/16.19 tff(8827,plain,
% 24.46/16.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB51)) | v115(constB51))),
% 24.46/16.19 inference(quant_inst,[status(thm)],[])).
% 24.46/16.19 tff(8828,plain,
% 24.46/16.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB51) | (~v116(constB51))),
% 24.46/16.19 inference(modus_ponens,[status(thm)],[8827, 8826])).
% 24.46/16.19 tff(8829,plain,
% 24.46/16.19 (v115(constB51)),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8828, 1008, 8822])).
% 24.46/16.19 tff(8830,plain,
% 24.46/16.19 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB51)) | v114(constB51))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB51)) | v114(constB51))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8831,plain,
% 24.46/16.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB51)) | v114(constB51))),
% 24.46/16.19 inference(quant_inst,[status(thm)],[])).
% 24.46/16.19 tff(8832,plain,
% 24.46/16.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB51)) | v114(constB51)),
% 24.46/16.19 inference(modus_ponens,[status(thm)],[8831, 8830])).
% 24.46/16.19 tff(8833,plain,
% 24.46/16.19 (v114(constB51)),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8832, 1022, 8829])).
% 24.46/16.19 tff(8834,plain,
% 24.46/16.19 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB51) | (~v114(constB51)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB51) | (~v114(constB51)))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8835,plain,
% 24.46/16.19 (((~v114(constB51)) | v113(constB51)) <=> (v113(constB51) | (~v114(constB51)))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8836,plain,
% 24.46/16.19 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB51)) | v113(constB51))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB51) | (~v114(constB51))))),
% 24.46/16.19 inference(monotonicity,[status(thm)],[8835])).
% 24.46/16.19 tff(8837,plain,
% 24.46/16.19 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB51)) | v113(constB51))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB51) | (~v114(constB51)))),
% 24.46/16.19 inference(transitivity,[status(thm)],[8836, 8834])).
% 24.46/16.19 tff(8838,plain,
% 24.46/16.19 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB51)) | v113(constB51))),
% 24.46/16.19 inference(quant_inst,[status(thm)],[])).
% 24.46/16.19 tff(8839,plain,
% 24.46/16.19 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB51) | (~v114(constB51))),
% 24.46/16.19 inference(modus_ponens,[status(thm)],[8838, 8837])).
% 24.46/16.19 tff(8840,plain,
% 24.46/16.19 (v113(constB51)),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8839, 1036, 8833])).
% 24.46/16.19 tff(8841,assumption,(v26(constB51)), introduced(assumption)).
% 24.46/16.19 tff(8842,plain,
% 24.46/16.19 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB51))),
% 24.46/16.19 inference(quant_inst,[status(thm)],[])).
% 24.46/16.19 tff(8843,plain,
% 24.46/16.19 ($false),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8842, 797, 8841])).
% 24.46/16.19 tff(8844,plain,(~v26(constB51)), inference(lemma,lemma(discharge,[]))).
% 24.46/16.19 tff(8845,plain,
% 24.46/16.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | v112(constB51) | (~v113(constB51)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | v112(constB51) | (~v113(constB51)))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8846,plain,
% 24.46/16.19 ((v26(constB51) | (~v113(constB51)) | v112(constB51)) <=> (v26(constB51) | v112(constB51) | (~v113(constB51)))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8847,plain,
% 24.46/16.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | v112(constB51) | (~v113(constB51))))),
% 24.46/16.19 inference(monotonicity,[status(thm)],[8846])).
% 24.46/16.19 tff(8848,plain,
% 24.46/16.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | v112(constB51) | (~v113(constB51)))),
% 24.46/16.19 inference(transitivity,[status(thm)],[8847, 8845])).
% 24.46/16.19 tff(8849,plain,
% 24.46/16.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))),
% 24.46/16.19 inference(quant_inst,[status(thm)],[])).
% 24.46/16.19 tff(8850,plain,
% 24.46/16.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | v112(constB51) | (~v113(constB51))),
% 24.46/16.19 inference(modus_ponens,[status(thm)],[8849, 8848])).
% 24.46/16.19 tff(8851,plain,
% 24.46/16.19 (v112(constB51) | (~v113(constB51))),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8850, 1050, 8844])).
% 24.46/16.19 tff(8852,plain,
% 24.46/16.19 (v112(constB51)),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8851, 8840])).
% 24.46/16.19 tff(8853,plain,
% 24.46/16.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB51) | (~v112(constB51)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB51) | (~v112(constB51)))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8854,plain,
% 24.46/16.19 (((~v112(constB51)) | v108(constB51)) <=> (v108(constB51) | (~v112(constB51)))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8855,plain,
% 24.46/16.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB51)) | v108(constB51))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB51) | (~v112(constB51))))),
% 24.46/16.19 inference(monotonicity,[status(thm)],[8854])).
% 24.46/16.19 tff(8856,plain,
% 24.46/16.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB51)) | v108(constB51))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB51) | (~v112(constB51)))),
% 24.46/16.19 inference(transitivity,[status(thm)],[8855, 8853])).
% 24.46/16.19 tff(8857,plain,
% 24.46/16.19 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB51)) | v108(constB51))),
% 24.46/16.19 inference(quant_inst,[status(thm)],[])).
% 24.46/16.19 tff(8858,plain,
% 24.46/16.19 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB51) | (~v112(constB51))),
% 24.46/16.19 inference(modus_ponens,[status(thm)],[8857, 8856])).
% 24.46/16.19 tff(8859,plain,
% 24.46/16.19 (v108(constB51)),
% 24.46/16.19 inference(unit_resolution,[status(thm)],[8858, 1062, 8852])).
% 24.46/16.19 tff(8860,plain,
% 24.46/16.19 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8861,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_51_1')).
% 24.46/16.19 tff(8862,plain,
% 24.46/16.19 (nextState(constB51, constB52)),
% 24.46/16.19 inference(modus_ponens,[status(thm)],[8861, 8860])).
% 24.46/16.19 tff(8863,plain,
% 24.46/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8864,plain,
% 24.46/16.19 (((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52)) <=> ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 24.46/16.19 inference(rewrite,[status(thm)],[])).
% 24.46/16.19 tff(8865,plain,
% 24.46/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51))))),
% 24.46/16.19 inference(monotonicity,[status(thm)],[8864])).
% 24.46/16.19 tff(8866,plain,
% 24.46/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 24.46/16.19 inference(transitivity,[status(thm)],[8865, 8863])).
% 24.46/16.19 tff(8867,plain,
% 24.46/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))),
% 24.46/16.19 inference(quant_inst,[status(thm)],[])).
% 24.46/16.20 tff(8868,plain,
% 24.46/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51))),
% 24.46/16.20 inference(modus_ponens,[status(thm)],[8867, 8866])).
% 24.46/16.20 tff(8869,plain,
% 24.46/16.20 (v110(constB52) | (~v108(constB51))),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8868, 1082, 8862])).
% 24.46/16.20 tff(8870,plain,
% 24.46/16.20 (v110(constB52)),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8869, 8859])).
% 24.46/16.20 tff(8871,plain,
% 24.46/16.20 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8872,plain,
% 24.46/16.20 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))),
% 24.46/16.20 inference(quant_inst,[status(thm)],[])).
% 24.46/16.20 tff(8873,plain,
% 24.46/16.20 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52))),
% 24.46/16.20 inference(modus_ponens,[status(thm)],[8872, 8871])).
% 24.46/16.20 tff(8874,plain,
% 24.46/16.20 (~v104(constB52)),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8873, 1100, 8862, 8706])).
% 24.46/16.20 tff(8875,plain,
% 24.46/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8876,plain,
% 24.46/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))),
% 24.46/16.20 inference(quant_inst,[status(thm)],[])).
% 24.46/16.20 tff(8877,plain,
% 24.46/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v102(constB52) | v104(constB52)),
% 24.46/16.20 inference(modus_ponens,[status(thm)],[8876, 8875])).
% 24.46/16.20 tff(8878,plain,
% 24.46/16.20 (v102(constB52) | v104(constB52)),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8877, 1114, 8862])).
% 24.46/16.20 tff(8879,plain,
% 24.46/16.20 (v102(constB52)),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8878, 8874])).
% 24.46/16.20 tff(8880,plain,
% 24.46/16.20 (v1(constB52) <=> v1(constB52)),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8881,axiom,(v1(constB52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_52_1')).
% 24.46/16.20 tff(8882,plain,
% 24.46/16.20 (v1(constB52)),
% 24.46/16.20 inference(modus_ponens,[status(thm)],[8881, 8880])).
% 24.46/16.20 tff(8883,plain,
% 24.46/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8884,plain,
% 24.46/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))),
% 24.46/16.20 inference(quant_inst,[status(thm)],[])).
% 24.46/16.20 tff(8885,plain,
% 24.46/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52))),
% 24.46/16.20 inference(modus_ponens,[status(thm)],[8884, 8883])).
% 24.46/16.20 tff(8886,plain,
% 24.46/16.20 (v101(constB52) | (~v102(constB52))),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8885, 1129, 8862, 8882])).
% 24.46/16.20 tff(8887,plain,
% 24.46/16.20 (v101(constB52)),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8886, 8879])).
% 24.46/16.20 tff(8888,plain,
% 24.46/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8889,plain,
% 24.46/16.20 (((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52)) <=> ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8890,plain,
% 24.46/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52))))),
% 24.46/16.20 inference(monotonicity,[status(thm)],[8889])).
% 24.46/16.20 tff(8891,plain,
% 24.46/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 24.46/16.20 inference(transitivity,[status(thm)],[8890, 8888])).
% 24.46/16.20 tff(8892,plain,
% 24.46/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))),
% 24.46/16.20 inference(quant_inst,[status(thm)],[])).
% 24.46/16.20 tff(8893,plain,
% 24.46/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 24.46/16.20 inference(modus_ponens,[status(thm)],[8892, 8891])).
% 24.46/16.20 tff(8894,plain,
% 24.46/16.20 (v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8893, 1144, 8862])).
% 24.46/16.20 tff(8895,plain,
% 24.46/16.20 (v100(constB52) | (~v110(constB52))),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8894, 8887])).
% 24.46/16.20 tff(8896,plain,
% 24.46/16.20 (v100(constB52)),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8895, 8870])).
% 24.46/16.20 tff(8897,plain,
% 24.46/16.20 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB51)) | v130(constB51, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB51)) | v130(constB51, bitIndex2))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8898,plain,
% 24.46/16.20 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB51)) | v130(constB51, bitIndex2))),
% 24.46/16.20 inference(quant_inst,[status(thm)],[])).
% 24.46/16.20 tff(8899,plain,
% 24.46/16.20 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB51)) | v130(constB51, bitIndex2)),
% 24.46/16.20 inference(modus_ponens,[status(thm)],[8898, 8897])).
% 24.46/16.20 tff(8900,plain,
% 24.46/16.20 (v130(constB51, bitIndex2)),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8899, 2736, 8818])).
% 24.46/16.20 tff(8901,plain,
% 24.46/16.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB51) | (~v130(constB51, bitIndex2)) | v127(constB51, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB51) | (~v130(constB51, bitIndex2)) | v127(constB51, bitIndex2))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8902,plain,
% 24.46/16.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB51) | (~v130(constB51, bitIndex2)) | v127(constB51, bitIndex2))),
% 24.46/16.20 inference(quant_inst,[status(thm)],[])).
% 24.46/16.20 tff(8903,plain,
% 24.46/16.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB51) | (~v130(constB51, bitIndex2)) | v127(constB51, bitIndex2)),
% 24.46/16.20 inference(modus_ponens,[status(thm)],[8902, 8901])).
% 24.46/16.20 tff(8904,plain,
% 24.46/16.20 ((~v130(constB51, bitIndex2)) | v127(constB51, bitIndex2)),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8903, 1174, 8844])).
% 24.46/16.20 tff(8905,plain,
% 24.46/16.20 (v127(constB51, bitIndex2)),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8904, 8900])).
% 24.46/16.20 tff(8906,plain,
% 24.46/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB51, constB52)) | (~v127(constB51, bitIndex2)) | v129(constB52, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB51, constB52)) | (~v127(constB51, bitIndex2)) | v129(constB52, bitIndex2))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8907,plain,
% 24.46/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB51, constB52)) | (~v127(constB51, bitIndex2)) | v129(constB52, bitIndex2))),
% 24.46/16.20 inference(quant_inst,[status(thm)],[])).
% 24.46/16.20 tff(8908,plain,
% 24.46/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB51, constB52)) | (~v127(constB51, bitIndex2)) | v129(constB52, bitIndex2)),
% 24.46/16.20 inference(modus_ponens,[status(thm)],[8907, 8906])).
% 24.46/16.20 tff(8909,plain,
% 24.46/16.20 ((~v127(constB51, bitIndex2)) | v129(constB52, bitIndex2)),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8908, 1189, 8862])).
% 24.46/16.20 tff(8910,plain,
% 24.46/16.20 (v129(constB52, bitIndex2)),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8909, 8905])).
% 24.46/16.20 tff(8911,plain,
% 24.46/16.20 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~v129(constB52, bitIndex2)) | (~v100(constB52)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~v129(constB52, bitIndex2)) | (~v100(constB52)))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8912,plain,
% 24.46/16.20 ((v90(constB52, bitIndex2) | (~v100(constB52)) | (~v129(constB52, bitIndex2))) <=> (v90(constB52, bitIndex2) | (~v129(constB52, bitIndex2)) | (~v100(constB52)))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8913,plain,
% 24.46/16.20 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~v100(constB52)) | (~v129(constB52, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~v129(constB52, bitIndex2)) | (~v100(constB52))))),
% 24.46/16.20 inference(monotonicity,[status(thm)],[8912])).
% 24.46/16.20 tff(8914,plain,
% 24.46/16.20 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~v100(constB52)) | (~v129(constB52, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~v129(constB52, bitIndex2)) | (~v100(constB52)))),
% 24.46/16.20 inference(transitivity,[status(thm)],[8913, 8911])).
% 24.46/16.20 tff(8915,plain,
% 24.46/16.20 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~v100(constB52)) | (~v129(constB52, bitIndex2)))),
% 24.46/16.20 inference(quant_inst,[status(thm)],[])).
% 24.46/16.20 tff(8916,plain,
% 24.46/16.20 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~v129(constB52, bitIndex2)) | (~v100(constB52))),
% 24.46/16.20 inference(modus_ponens,[status(thm)],[8915, 8914])).
% 24.46/16.20 tff(8917,plain,
% 24.46/16.20 (v90(constB52, bitIndex2) | (~v100(constB52))),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8916, 1204, 8910])).
% 24.46/16.20 tff(8918,plain,
% 24.46/16.20 (v90(constB52, bitIndex2)),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8917, 8896])).
% 24.46/16.20 tff(8919,plain,
% 24.46/16.20 ((~v1(constB53)) <=> (~v1(constB53))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8920,axiom,(~v1(constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_53_1_1')).
% 24.46/16.20 tff(8921,plain,
% 24.46/16.20 (~v1(constB53)),
% 24.46/16.20 inference(modus_ponens,[status(thm)],[8920, 8919])).
% 24.46/16.20 tff(8922,plain,
% 24.46/16.20 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8923,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_52_1')).
% 24.46/16.20 tff(8924,plain,
% 24.46/16.20 (nextState(constB52, constB53)),
% 24.46/16.20 inference(modus_ponens,[status(thm)],[8923, 8922])).
% 24.46/16.20 tff(8925,plain,
% 24.46/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8926,plain,
% 24.46/16.20 (((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53)) <=> (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8927,plain,
% 24.46/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53))))),
% 24.46/16.20 inference(monotonicity,[status(thm)],[8926])).
% 24.46/16.20 tff(8928,plain,
% 24.46/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 24.46/16.20 inference(transitivity,[status(thm)],[8927, 8925])).
% 24.46/16.20 tff(8929,plain,
% 24.46/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))),
% 24.46/16.20 inference(quant_inst,[status(thm)],[])).
% 24.46/16.20 tff(8930,plain,
% 24.46/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53))),
% 24.46/16.20 inference(modus_ponens,[status(thm)],[8929, 8928])).
% 24.46/16.20 tff(8931,plain,
% 24.46/16.20 (~v101(constB53)),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8930, 860, 8924, 8921])).
% 24.46/16.20 tff(8932,plain,
% 24.46/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8933,plain,
% 24.46/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))),
% 24.46/16.20 inference(quant_inst,[status(thm)],[])).
% 24.46/16.20 tff(8934,plain,
% 24.46/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53))),
% 24.46/16.20 inference(modus_ponens,[status(thm)],[8933, 8932])).
% 24.46/16.20 tff(8935,plain,
% 24.46/16.20 (v101(constB53) | (~v100(constB53))),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8934, 877, 8924])).
% 24.46/16.20 tff(8936,plain,
% 24.46/16.20 (~v100(constB53)),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8935, 8931])).
% 24.46/16.20 tff(8937,plain,
% 24.46/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex2))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8938,plain,
% 24.46/16.20 (((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex2)) | v100(constB53) | v90(constB53, bitIndex2)) <=> ((~v90(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex2))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8939,plain,
% 24.46/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex2)) | v100(constB53) | v90(constB53, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex2)))),
% 24.46/16.20 inference(monotonicity,[status(thm)],[8938])).
% 24.46/16.20 tff(8940,plain,
% 24.46/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex2)) | v100(constB53) | v90(constB53, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex2))),
% 24.46/16.20 inference(transitivity,[status(thm)],[8939, 8937])).
% 24.46/16.20 tff(8941,plain,
% 24.46/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex2)) | v100(constB53) | v90(constB53, bitIndex2))),
% 24.46/16.20 inference(quant_inst,[status(thm)],[])).
% 24.46/16.20 tff(8942,plain,
% 24.46/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex2)),
% 24.46/16.20 inference(modus_ponens,[status(thm)],[8941, 8940])).
% 24.46/16.20 tff(8943,plain,
% 24.46/16.20 ((~v90(constB52, bitIndex2)) | v100(constB53) | v90(constB53, bitIndex2)),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8942, 1240, 8924])).
% 24.46/16.20 tff(8944,plain,
% 24.46/16.20 ((~v90(constB52, bitIndex2)) | v90(constB53, bitIndex2)),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8943, 8936])).
% 24.46/16.20 tff(8945,plain,
% 24.46/16.20 (v90(constB53, bitIndex2)),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8944, 8918])).
% 24.46/16.20 tff(8946,plain,
% 24.46/16.20 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB51)) | (~v130(constB51, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB51)) | (~v130(constB51, bitIndex0)))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8947,plain,
% 24.46/16.20 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB51)) | (~v130(constB51, bitIndex0)))),
% 24.46/16.20 inference(quant_inst,[status(thm)],[])).
% 24.46/16.20 tff(8948,plain,
% 24.46/16.20 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB51)) | (~v130(constB51, bitIndex0))),
% 24.46/16.20 inference(modus_ponens,[status(thm)],[8947, 8946])).
% 24.46/16.20 tff(8949,plain,
% 24.46/16.20 (~v130(constB51, bitIndex0)),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8948, 2833, 8818])).
% 24.46/16.20 tff(8950,plain,
% 24.46/16.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8951,plain,
% 24.46/16.20 ((v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0))) <=> ((~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8952,plain,
% 24.46/16.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0)))),
% 24.46/16.20 inference(monotonicity,[status(thm)],[8951])).
% 24.46/16.20 tff(8953,plain,
% 24.46/16.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))),
% 24.46/16.20 inference(transitivity,[status(thm)],[8952, 8950])).
% 24.46/16.20 tff(8954,plain,
% 24.46/16.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0)))),
% 24.46/16.20 inference(quant_inst,[status(thm)],[])).
% 24.46/16.20 tff(8955,plain,
% 24.46/16.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0)),
% 24.46/16.20 inference(modus_ponens,[status(thm)],[8954, 8953])).
% 24.46/16.20 tff(8956,plain,
% 24.46/16.20 ((~v127(constB51, bitIndex0)) | v130(constB51, bitIndex0)),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8955, 1341, 8844])).
% 24.46/16.20 tff(8957,plain,
% 24.46/16.20 (~v127(constB51, bitIndex0)),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8956, 8949])).
% 24.46/16.20 tff(8958,plain,
% 24.46/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0)))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8959,plain,
% 24.46/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0)))),
% 24.46/16.20 inference(quant_inst,[status(thm)],[])).
% 24.46/16.20 tff(8960,plain,
% 24.46/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0))),
% 24.46/16.20 inference(modus_ponens,[status(thm)],[8959, 8958])).
% 24.46/16.20 tff(8961,plain,
% 24.46/16.20 (v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0))),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8960, 1359, 8862])).
% 24.46/16.20 tff(8962,plain,
% 24.46/16.20 (~v129(constB52, bitIndex0)),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8961, 8957])).
% 24.46/16.20 tff(8963,plain,
% 24.46/16.20 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8964,plain,
% 24.46/16.20 (((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0)) <=> ((~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8965,plain,
% 24.46/16.20 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52))))),
% 24.46/16.20 inference(monotonicity,[status(thm)],[8964])).
% 24.46/16.20 tff(8966,plain,
% 24.46/16.20 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))),
% 24.46/16.20 inference(transitivity,[status(thm)],[8965, 8963])).
% 24.46/16.20 tff(8967,plain,
% 24.46/16.20 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0))),
% 24.46/16.20 inference(quant_inst,[status(thm)],[])).
% 24.46/16.20 tff(8968,plain,
% 24.46/16.20 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52))),
% 24.46/16.20 inference(modus_ponens,[status(thm)],[8967, 8966])).
% 24.46/16.20 tff(8969,plain,
% 24.46/16.20 ((~v90(constB52, bitIndex0)) | (~v100(constB52))),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8968, 1374, 8962])).
% 24.46/16.20 tff(8970,plain,
% 24.46/16.20 (~v90(constB52, bitIndex0)),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8969, 8896])).
% 24.46/16.20 tff(8971,plain,
% 24.46/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8972,plain,
% 24.46/16.20 (((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0))) <=> (v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8973,plain,
% 24.46/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0))))),
% 24.46/16.20 inference(monotonicity,[status(thm)],[8972])).
% 24.46/16.20 tff(8974,plain,
% 24.46/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 24.46/16.20 inference(transitivity,[status(thm)],[8973, 8971])).
% 24.46/16.20 tff(8975,plain,
% 24.46/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 24.46/16.20 inference(quant_inst,[status(thm)],[])).
% 24.46/16.20 tff(8976,plain,
% 24.46/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0))),
% 24.46/16.20 inference(modus_ponens,[status(thm)],[8975, 8974])).
% 24.46/16.20 tff(8977,plain,
% 24.46/16.20 (v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0))),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8976, 934, 8924])).
% 24.46/16.20 tff(8978,plain,
% 24.46/16.20 (v90(constB52, bitIndex0) | (~v90(constB53, bitIndex0))),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8977, 8936])).
% 24.46/16.20 tff(8979,plain,
% 24.46/16.20 (~v90(constB53, bitIndex0)),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8978, 8970])).
% 24.46/16.20 tff(8980,plain,
% 24.46/16.20 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB51)) | (~v130(constB51, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB51)) | (~v130(constB51, bitIndex1)))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8981,plain,
% 24.46/16.20 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB51)) | (~v130(constB51, bitIndex1)))),
% 24.46/16.20 inference(quant_inst,[status(thm)],[])).
% 24.46/16.20 tff(8982,plain,
% 24.46/16.20 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB51)) | (~v130(constB51, bitIndex1))),
% 24.46/16.20 inference(modus_ponens,[status(thm)],[8981, 8980])).
% 24.46/16.20 tff(8983,plain,
% 24.46/16.20 (~v130(constB51, bitIndex1)),
% 24.46/16.20 inference(unit_resolution,[status(thm)],[8982, 2792, 8818])).
% 24.46/16.20 tff(8984,plain,
% 24.46/16.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB51, bitIndex1)) | v26(constB51) | v130(constB51, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB51, bitIndex1)) | v26(constB51) | v130(constB51, bitIndex1))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8985,plain,
% 24.46/16.20 ((v26(constB51) | v130(constB51, bitIndex1) | (~v127(constB51, bitIndex1))) <=> ((~v127(constB51, bitIndex1)) | v26(constB51) | v130(constB51, bitIndex1))),
% 24.46/16.20 inference(rewrite,[status(thm)],[])).
% 24.46/16.20 tff(8986,plain,
% 24.46/16.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB51) | v130(constB51, bitIndex1) | (~v127(constB51, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB51, bitIndex1)) | v26(constB51) | v130(constB51, bitIndex1)))),
% 24.46/16.20 inference(monotonicity,[status(thm)],[8985])).
% 24.46/16.20 tff(8987,plain,
% 24.46/16.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB51) | v130(constB51, bitIndex1) | (~v127(constB51, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB51, bitIndex1)) | v26(constB51) | v130(constB51, bitIndex1))),
% 24.46/16.20 inference(transitivity,[status(thm)],[8986, 8984])).
% 24.46/16.20 tff(8988,plain,
% 24.46/16.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB51) | v130(constB51, bitIndex1) | (~v127(constB51, bitIndex1)))),
% 24.46/16.21 inference(quant_inst,[status(thm)],[])).
% 24.46/16.21 tff(8989,plain,
% 24.46/16.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB51, bitIndex1)) | v26(constB51) | v130(constB51, bitIndex1)),
% 24.46/16.21 inference(modus_ponens,[status(thm)],[8988, 8987])).
% 24.46/16.21 tff(8990,plain,
% 24.46/16.21 ((~v127(constB51, bitIndex1)) | v130(constB51, bitIndex1)),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[8989, 1270, 8844])).
% 24.46/16.21 tff(8991,plain,
% 24.46/16.21 (~v127(constB51, bitIndex1)),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[8990, 8983])).
% 24.46/16.21 tff(8992,plain,
% 24.46/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex1) | (~v129(constB52, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex1) | (~v129(constB52, bitIndex1)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(8993,plain,
% 24.46/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex1) | (~v129(constB52, bitIndex1)))),
% 24.46/16.21 inference(quant_inst,[status(thm)],[])).
% 24.46/16.21 tff(8994,plain,
% 24.46/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex1) | (~v129(constB52, bitIndex1))),
% 24.46/16.21 inference(modus_ponens,[status(thm)],[8993, 8992])).
% 24.46/16.21 tff(8995,plain,
% 24.46/16.21 (v127(constB51, bitIndex1) | (~v129(constB52, bitIndex1))),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[8994, 1288, 8862])).
% 24.46/16.21 tff(8996,plain,
% 24.46/16.21 (~v129(constB52, bitIndex1)),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[8995, 8991])).
% 24.46/16.21 tff(8997,plain,
% 24.46/16.21 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB52, bitIndex1)) | v129(constB52, bitIndex1) | (~v100(constB52)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB52, bitIndex1)) | v129(constB52, bitIndex1) | (~v100(constB52)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(8998,plain,
% 24.46/16.21 (((~v90(constB52, bitIndex1)) | (~v100(constB52)) | v129(constB52, bitIndex1)) <=> ((~v90(constB52, bitIndex1)) | v129(constB52, bitIndex1) | (~v100(constB52)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(8999,plain,
% 24.46/16.21 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB52, bitIndex1)) | (~v100(constB52)) | v129(constB52, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB52, bitIndex1)) | v129(constB52, bitIndex1) | (~v100(constB52))))),
% 24.46/16.21 inference(monotonicity,[status(thm)],[8998])).
% 24.46/16.21 tff(9000,plain,
% 24.46/16.21 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB52, bitIndex1)) | (~v100(constB52)) | v129(constB52, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB52, bitIndex1)) | v129(constB52, bitIndex1) | (~v100(constB52)))),
% 24.46/16.21 inference(transitivity,[status(thm)],[8999, 8997])).
% 24.46/16.21 tff(9001,plain,
% 24.46/16.21 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB52, bitIndex1)) | (~v100(constB52)) | v129(constB52, bitIndex1))),
% 24.46/16.21 inference(quant_inst,[status(thm)],[])).
% 24.46/16.21 tff(9002,plain,
% 24.46/16.21 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB52, bitIndex1)) | v129(constB52, bitIndex1) | (~v100(constB52))),
% 24.46/16.21 inference(modus_ponens,[status(thm)],[9001, 9000])).
% 24.46/16.21 tff(9003,plain,
% 24.46/16.21 ((~v90(constB52, bitIndex1)) | (~v100(constB52))),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9002, 1303, 8996])).
% 24.46/16.21 tff(9004,plain,
% 24.46/16.21 (~v90(constB52, bitIndex1)),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9003, 8896])).
% 24.46/16.21 tff(9005,plain,
% 24.46/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex1)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9006,plain,
% 24.46/16.21 (((~nextState(constB52, constB53)) | v90(constB52, bitIndex1) | v100(constB53) | (~v90(constB53, bitIndex1))) <=> (v90(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex1)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9007,plain,
% 24.46/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex1) | v100(constB53) | (~v90(constB53, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex1))))),
% 24.46/16.21 inference(monotonicity,[status(thm)],[9006])).
% 24.46/16.21 tff(9008,plain,
% 24.46/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex1) | v100(constB53) | (~v90(constB53, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex1)))),
% 24.46/16.21 inference(transitivity,[status(thm)],[9007, 9005])).
% 24.46/16.21 tff(9009,plain,
% 24.46/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex1) | v100(constB53) | (~v90(constB53, bitIndex1)))),
% 24.46/16.21 inference(quant_inst,[status(thm)],[])).
% 24.46/16.21 tff(9010,plain,
% 24.46/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex1))),
% 24.46/16.21 inference(modus_ponens,[status(thm)],[9009, 9008])).
% 24.46/16.21 tff(9011,plain,
% 24.46/16.21 (v90(constB52, bitIndex1) | v100(constB53) | (~v90(constB53, bitIndex1))),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9010, 913, 8924])).
% 24.46/16.21 tff(9012,plain,
% 24.46/16.21 (v90(constB52, bitIndex1) | (~v90(constB53, bitIndex1))),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9011, 8936])).
% 24.46/16.21 tff(9013,plain,
% 24.46/16.21 (~v90(constB53, bitIndex1)),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9012, 9004])).
% 24.46/16.21 tff(9014,assumption,(~v123(constB53)), introduced(assumption)).
% 24.46/16.21 tff(9015,plain,
% 24.46/16.21 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)) | v123(constB53))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)) | v123(constB53))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9016,plain,
% 24.46/16.21 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)) | v123(constB53))),
% 24.46/16.21 inference(quant_inst,[status(thm)],[])).
% 24.46/16.21 tff(9017,plain,
% 24.46/16.21 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)) | v123(constB53)),
% 24.46/16.21 inference(modus_ponens,[status(thm)],[9016, 9015])).
% 24.46/16.21 tff(9018,plain,
% 24.46/16.21 (v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2))),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9017, 1401, 9014])).
% 24.46/16.21 tff(9019,plain,
% 24.46/16.21 ($false),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9018, 9013, 8979, 8945])).
% 24.46/16.21 tff(9020,plain,((~v122(constB51)) | v123(constB53)), inference(lemma,lemma(discharge,[]))).
% 24.46/16.21 tff(9021,plain,
% 24.46/16.21 (v123(constB53)),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9020, 8817])).
% 24.46/16.21 tff(9022,plain,
% 24.46/16.21 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB53) | (~v123(constB53)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB53) | (~v123(constB53)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9023,plain,
% 24.46/16.21 (((~v123(constB53)) | v115(constB53)) <=> (v115(constB53) | (~v123(constB53)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9024,plain,
% 24.46/16.21 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB53)) | v115(constB53))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB53) | (~v123(constB53))))),
% 24.46/16.21 inference(monotonicity,[status(thm)],[9023])).
% 24.46/16.21 tff(9025,plain,
% 24.46/16.21 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB53)) | v115(constB53))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB53) | (~v123(constB53)))),
% 24.46/16.21 inference(transitivity,[status(thm)],[9024, 9022])).
% 24.46/16.21 tff(9026,plain,
% 24.46/16.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB53)) | v115(constB53))),
% 24.46/16.21 inference(quant_inst,[status(thm)],[])).
% 24.46/16.21 tff(9027,plain,
% 24.46/16.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB53) | (~v123(constB53))),
% 24.46/16.21 inference(modus_ponens,[status(thm)],[9026, 9025])).
% 24.46/16.21 tff(9028,plain,
% 24.46/16.21 (v115(constB53)),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9027, 1412, 9021])).
% 24.46/16.21 tff(9029,plain,
% 24.46/16.21 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB53) | (~v115(constB53)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB53) | (~v115(constB53)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9030,plain,
% 24.46/16.21 (((~v115(constB53)) | v114(constB53)) <=> (v114(constB53) | (~v115(constB53)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9031,plain,
% 24.46/16.21 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB53)) | v114(constB53))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB53) | (~v115(constB53))))),
% 24.46/16.21 inference(monotonicity,[status(thm)],[9030])).
% 24.46/16.21 tff(9032,plain,
% 24.46/16.21 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB53)) | v114(constB53))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB53) | (~v115(constB53)))),
% 24.46/16.21 inference(transitivity,[status(thm)],[9031, 9029])).
% 24.46/16.21 tff(9033,plain,
% 24.46/16.21 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB53)) | v114(constB53))),
% 24.46/16.21 inference(quant_inst,[status(thm)],[])).
% 24.46/16.21 tff(9034,plain,
% 24.46/16.21 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB53) | (~v115(constB53))),
% 24.46/16.21 inference(modus_ponens,[status(thm)],[9033, 9032])).
% 24.46/16.21 tff(9035,plain,
% 24.46/16.21 (v114(constB53)),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9034, 1022, 9028])).
% 24.46/16.21 tff(9036,plain,
% 24.46/16.21 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB53) | (~v114(constB53)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB53) | (~v114(constB53)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9037,plain,
% 24.46/16.21 (((~v114(constB53)) | v113(constB53)) <=> (v113(constB53) | (~v114(constB53)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9038,plain,
% 24.46/16.21 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB53)) | v113(constB53))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB53) | (~v114(constB53))))),
% 24.46/16.21 inference(monotonicity,[status(thm)],[9037])).
% 24.46/16.21 tff(9039,plain,
% 24.46/16.21 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB53)) | v113(constB53))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB53) | (~v114(constB53)))),
% 24.46/16.21 inference(transitivity,[status(thm)],[9038, 9036])).
% 24.46/16.21 tff(9040,plain,
% 24.46/16.21 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB53)) | v113(constB53))),
% 24.46/16.21 inference(quant_inst,[status(thm)],[])).
% 24.46/16.21 tff(9041,plain,
% 24.46/16.21 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB53) | (~v114(constB53))),
% 24.46/16.21 inference(modus_ponens,[status(thm)],[9040, 9039])).
% 24.46/16.21 tff(9042,plain,
% 24.46/16.21 (v113(constB53)),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9041, 1036, 9035])).
% 24.46/16.21 tff(9043,assumption,(v26(constB53)), introduced(assumption)).
% 24.46/16.21 tff(9044,plain,
% 24.46/16.21 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB53))),
% 24.46/16.21 inference(quant_inst,[status(thm)],[])).
% 24.46/16.21 tff(9045,plain,
% 24.46/16.21 ($false),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9044, 797, 9043])).
% 24.46/16.21 tff(9046,plain,(~v26(constB53)), inference(lemma,lemma(discharge,[]))).
% 24.46/16.21 tff(9047,plain,
% 24.46/16.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | v112(constB53) | (~v113(constB53)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9048,plain,
% 24.46/16.21 ((v26(constB53) | (~v113(constB53)) | v112(constB53)) <=> (v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9049,plain,
% 24.46/16.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | v112(constB53) | (~v113(constB53))))),
% 24.46/16.21 inference(monotonicity,[status(thm)],[9048])).
% 24.46/16.21 tff(9050,plain,
% 24.46/16.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 24.46/16.21 inference(transitivity,[status(thm)],[9049, 9047])).
% 24.46/16.21 tff(9051,plain,
% 24.46/16.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))),
% 24.46/16.21 inference(quant_inst,[status(thm)],[])).
% 24.46/16.21 tff(9052,plain,
% 24.46/16.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53))),
% 24.46/16.21 inference(modus_ponens,[status(thm)],[9051, 9050])).
% 24.46/16.21 tff(9053,plain,
% 24.46/16.21 (v112(constB53) | (~v113(constB53))),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9052, 1050, 9046])).
% 24.46/16.21 tff(9054,plain,
% 24.46/16.21 (v112(constB53)),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9053, 9042])).
% 24.46/16.21 tff(9055,plain,
% 24.46/16.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB53) | (~v112(constB53)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB53) | (~v112(constB53)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9056,plain,
% 24.46/16.21 (((~v112(constB53)) | v108(constB53)) <=> (v108(constB53) | (~v112(constB53)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9057,plain,
% 24.46/16.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB53)) | v108(constB53))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB53) | (~v112(constB53))))),
% 24.46/16.21 inference(monotonicity,[status(thm)],[9056])).
% 24.46/16.21 tff(9058,plain,
% 24.46/16.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB53)) | v108(constB53))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB53) | (~v112(constB53)))),
% 24.46/16.21 inference(transitivity,[status(thm)],[9057, 9055])).
% 24.46/16.21 tff(9059,plain,
% 24.46/16.21 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB53)) | v108(constB53))),
% 24.46/16.21 inference(quant_inst,[status(thm)],[])).
% 24.46/16.21 tff(9060,plain,
% 24.46/16.21 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB53) | (~v112(constB53))),
% 24.46/16.21 inference(modus_ponens,[status(thm)],[9059, 9058])).
% 24.46/16.21 tff(9061,plain,
% 24.46/16.21 (v108(constB53)),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9060, 1062, 9054])).
% 24.46/16.21 tff(9062,plain,
% 24.46/16.21 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9063,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_53_1')).
% 24.46/16.21 tff(9064,plain,
% 24.46/16.21 (nextState(constB53, constB54)),
% 24.46/16.21 inference(modus_ponens,[status(thm)],[9063, 9062])).
% 24.46/16.21 tff(9065,plain,
% 24.46/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9066,plain,
% 24.46/16.21 (((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54)) <=> ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9067,plain,
% 24.46/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53))))),
% 24.46/16.21 inference(monotonicity,[status(thm)],[9066])).
% 24.46/16.21 tff(9068,plain,
% 24.46/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 24.46/16.21 inference(transitivity,[status(thm)],[9067, 9065])).
% 24.46/16.21 tff(9069,plain,
% 24.46/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))),
% 24.46/16.21 inference(quant_inst,[status(thm)],[])).
% 24.46/16.21 tff(9070,plain,
% 24.46/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53))),
% 24.46/16.21 inference(modus_ponens,[status(thm)],[9069, 9068])).
% 24.46/16.21 tff(9071,plain,
% 24.46/16.21 (v110(constB54) | (~v108(constB53))),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9070, 1082, 9064])).
% 24.46/16.21 tff(9072,plain,
% 24.46/16.21 (v110(constB54)),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9071, 9061])).
% 24.46/16.21 tff(9073,plain,
% 24.46/16.21 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9074,plain,
% 24.46/16.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))),
% 24.46/16.21 inference(quant_inst,[status(thm)],[])).
% 24.46/16.21 tff(9075,plain,
% 24.46/16.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54))),
% 24.46/16.21 inference(modus_ponens,[status(thm)],[9074, 9073])).
% 24.46/16.21 tff(9076,plain,
% 24.46/16.21 (~v104(constB54)),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9075, 1100, 9064, 8921])).
% 24.46/16.21 tff(9077,plain,
% 24.46/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9078,plain,
% 24.46/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))),
% 24.46/16.21 inference(quant_inst,[status(thm)],[])).
% 24.46/16.21 tff(9079,plain,
% 24.46/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v102(constB54) | v104(constB54)),
% 24.46/16.21 inference(modus_ponens,[status(thm)],[9078, 9077])).
% 24.46/16.21 tff(9080,plain,
% 24.46/16.21 (v102(constB54) | v104(constB54)),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9079, 1114, 9064])).
% 24.46/16.21 tff(9081,plain,
% 24.46/16.21 (v102(constB54)),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9080, 9076])).
% 24.46/16.21 tff(9082,plain,
% 24.46/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9083,plain,
% 24.46/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))),
% 24.46/16.21 inference(quant_inst,[status(thm)],[])).
% 24.46/16.21 tff(9084,plain,
% 24.46/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54))),
% 24.46/16.21 inference(modus_ponens,[status(thm)],[9083, 9082])).
% 24.46/16.21 tff(9085,plain,
% 24.46/16.21 (v101(constB54) | (~v102(constB54))),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9084, 1129, 9064, 350])).
% 24.46/16.21 tff(9086,plain,
% 24.46/16.21 (v101(constB54)),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9085, 9081])).
% 24.46/16.21 tff(9087,plain,
% 24.46/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9088,plain,
% 24.46/16.21 (((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54)) <=> ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9089,plain,
% 24.46/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54))))),
% 24.46/16.21 inference(monotonicity,[status(thm)],[9088])).
% 24.46/16.21 tff(9090,plain,
% 24.46/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 24.46/16.21 inference(transitivity,[status(thm)],[9089, 9087])).
% 24.46/16.21 tff(9091,plain,
% 24.46/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))),
% 24.46/16.21 inference(quant_inst,[status(thm)],[])).
% 24.46/16.21 tff(9092,plain,
% 24.46/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 24.46/16.21 inference(modus_ponens,[status(thm)],[9091, 9090])).
% 24.46/16.21 tff(9093,plain,
% 24.46/16.21 (v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9092, 1144, 9064])).
% 24.46/16.21 tff(9094,plain,
% 24.46/16.21 (v100(constB54) | (~v110(constB54))),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9093, 9086])).
% 24.46/16.21 tff(9095,plain,
% 24.46/16.21 (v100(constB54)),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9094, 9072])).
% 24.46/16.21 tff(9096,plain,
% 24.46/16.21 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB53)) | v130(constB53, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB53)) | v130(constB53, bitIndex2))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9097,plain,
% 24.46/16.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB53)) | v130(constB53, bitIndex2))),
% 24.46/16.21 inference(quant_inst,[status(thm)],[])).
% 24.46/16.21 tff(9098,plain,
% 24.46/16.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB53)) | v130(constB53, bitIndex2)),
% 24.46/16.21 inference(modus_ponens,[status(thm)],[9097, 9096])).
% 24.46/16.21 tff(9099,plain,
% 24.46/16.21 (v130(constB53, bitIndex2)),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9098, 1483, 9021])).
% 24.46/16.21 tff(9100,plain,
% 24.46/16.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB53) | (~v130(constB53, bitIndex2)) | v127(constB53, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB53) | (~v130(constB53, bitIndex2)) | v127(constB53, bitIndex2))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9101,plain,
% 24.46/16.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB53) | (~v130(constB53, bitIndex2)) | v127(constB53, bitIndex2))),
% 24.46/16.21 inference(quant_inst,[status(thm)],[])).
% 24.46/16.21 tff(9102,plain,
% 24.46/16.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB53) | (~v130(constB53, bitIndex2)) | v127(constB53, bitIndex2)),
% 24.46/16.21 inference(modus_ponens,[status(thm)],[9101, 9100])).
% 24.46/16.21 tff(9103,plain,
% 24.46/16.21 ((~v130(constB53, bitIndex2)) | v127(constB53, bitIndex2)),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9102, 1174, 9046])).
% 24.46/16.21 tff(9104,plain,
% 24.46/16.21 (v127(constB53, bitIndex2)),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9103, 9099])).
% 24.46/16.21 tff(9105,plain,
% 24.46/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex2)) | v129(constB54, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex2)) | v129(constB54, bitIndex2))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9106,plain,
% 24.46/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex2)) | v129(constB54, bitIndex2))),
% 24.46/16.21 inference(quant_inst,[status(thm)],[])).
% 24.46/16.21 tff(9107,plain,
% 24.46/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex2)) | v129(constB54, bitIndex2)),
% 24.46/16.21 inference(modus_ponens,[status(thm)],[9106, 9105])).
% 24.46/16.21 tff(9108,plain,
% 24.46/16.21 ((~v127(constB53, bitIndex2)) | v129(constB54, bitIndex2)),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9107, 1189, 9064])).
% 24.46/16.21 tff(9109,plain,
% 24.46/16.21 (v129(constB54, bitIndex2)),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9108, 9104])).
% 24.46/16.21 tff(9110,plain,
% 24.46/16.21 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~v129(constB54, bitIndex2)) | (~v100(constB54)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~v129(constB54, bitIndex2)) | (~v100(constB54)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9111,plain,
% 24.46/16.21 ((v90(constB54, bitIndex2) | (~v100(constB54)) | (~v129(constB54, bitIndex2))) <=> (v90(constB54, bitIndex2) | (~v129(constB54, bitIndex2)) | (~v100(constB54)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9112,plain,
% 24.46/16.21 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~v100(constB54)) | (~v129(constB54, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~v129(constB54, bitIndex2)) | (~v100(constB54))))),
% 24.46/16.21 inference(monotonicity,[status(thm)],[9111])).
% 24.46/16.21 tff(9113,plain,
% 24.46/16.21 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~v100(constB54)) | (~v129(constB54, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~v129(constB54, bitIndex2)) | (~v100(constB54)))),
% 24.46/16.21 inference(transitivity,[status(thm)],[9112, 9110])).
% 24.46/16.21 tff(9114,plain,
% 24.46/16.21 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~v100(constB54)) | (~v129(constB54, bitIndex2)))),
% 24.46/16.21 inference(quant_inst,[status(thm)],[])).
% 24.46/16.21 tff(9115,plain,
% 24.46/16.21 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~v129(constB54, bitIndex2)) | (~v100(constB54))),
% 24.46/16.21 inference(modus_ponens,[status(thm)],[9114, 9113])).
% 24.46/16.21 tff(9116,plain,
% 24.46/16.21 (v90(constB54, bitIndex2) | (~v100(constB54))),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9115, 1204, 9109])).
% 24.46/16.21 tff(9117,plain,
% 24.46/16.21 (v90(constB54, bitIndex2)),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9116, 9095])).
% 24.46/16.21 tff(9118,plain,
% 24.46/16.21 ((~v1(constB55)) <=> (~v1(constB55))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9119,axiom,(~v1(constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_55_1_1')).
% 24.46/16.21 tff(9120,plain,
% 24.46/16.21 (~v1(constB55)),
% 24.46/16.21 inference(modus_ponens,[status(thm)],[9119, 9118])).
% 24.46/16.21 tff(9121,plain,
% 24.46/16.21 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9122,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_54_1')).
% 24.46/16.21 tff(9123,plain,
% 24.46/16.21 (nextState(constB54, constB55)),
% 24.46/16.21 inference(modus_ponens,[status(thm)],[9122, 9121])).
% 24.46/16.21 tff(9124,plain,
% 24.46/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9125,plain,
% 24.46/16.21 (((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55)) <=> (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9126,plain,
% 24.46/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55))))),
% 24.46/16.21 inference(monotonicity,[status(thm)],[9125])).
% 24.46/16.21 tff(9127,plain,
% 24.46/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 24.46/16.21 inference(transitivity,[status(thm)],[9126, 9124])).
% 24.46/16.21 tff(9128,plain,
% 24.46/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))),
% 24.46/16.21 inference(quant_inst,[status(thm)],[])).
% 24.46/16.21 tff(9129,plain,
% 24.46/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55))),
% 24.46/16.21 inference(modus_ponens,[status(thm)],[9128, 9127])).
% 24.46/16.21 tff(9130,plain,
% 24.46/16.21 (~v101(constB55)),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9129, 860, 9123, 9120])).
% 24.46/16.21 tff(9131,plain,
% 24.46/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9132,plain,
% 24.46/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))),
% 24.46/16.21 inference(quant_inst,[status(thm)],[])).
% 24.46/16.21 tff(9133,plain,
% 24.46/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55))),
% 24.46/16.21 inference(modus_ponens,[status(thm)],[9132, 9131])).
% 24.46/16.21 tff(9134,plain,
% 24.46/16.21 (v101(constB55) | (~v100(constB55))),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9133, 877, 9123])).
% 24.46/16.21 tff(9135,plain,
% 24.46/16.21 (~v100(constB55)),
% 24.46/16.21 inference(unit_resolution,[status(thm)],[9134, 9130])).
% 24.46/16.21 tff(9136,plain,
% 24.46/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex2))),
% 24.46/16.21 inference(rewrite,[status(thm)],[])).
% 24.46/16.21 tff(9137,plain,
% 24.46/16.21 (((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex2)) | v100(constB55) | v90(constB55, bitIndex2)) <=> ((~v90(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex2))),
% 24.46/16.22 inference(rewrite,[status(thm)],[])).
% 24.46/16.22 tff(9138,plain,
% 24.46/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex2)) | v100(constB55) | v90(constB55, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex2)))),
% 24.46/16.22 inference(monotonicity,[status(thm)],[9137])).
% 24.46/16.22 tff(9139,plain,
% 24.46/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex2)) | v100(constB55) | v90(constB55, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex2))),
% 24.46/16.22 inference(transitivity,[status(thm)],[9138, 9136])).
% 24.46/16.22 tff(9140,plain,
% 24.46/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex2)) | v100(constB55) | v90(constB55, bitIndex2))),
% 24.46/16.22 inference(quant_inst,[status(thm)],[])).
% 24.46/16.22 tff(9141,plain,
% 24.46/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex2)),
% 24.46/16.22 inference(modus_ponens,[status(thm)],[9140, 9139])).
% 24.46/16.22 tff(9142,plain,
% 24.46/16.22 ((~v90(constB54, bitIndex2)) | v100(constB55) | v90(constB55, bitIndex2)),
% 24.46/16.22 inference(unit_resolution,[status(thm)],[9141, 1240, 9123])).
% 24.46/16.22 tff(9143,plain,
% 24.46/16.22 ((~v90(constB54, bitIndex2)) | v90(constB55, bitIndex2)),
% 24.46/16.22 inference(unit_resolution,[status(thm)],[9142, 9135])).
% 24.46/16.22 tff(9144,plain,
% 24.46/16.22 (v90(constB55, bitIndex2)),
% 24.46/16.22 inference(unit_resolution,[status(thm)],[9143, 9117])).
% 24.46/16.22 tff(9145,plain,
% 24.46/16.22 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB53)) | v130(constB53, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB53)) | v130(constB53, bitIndex1))),
% 24.46/16.22 inference(rewrite,[status(thm)],[])).
% 24.46/16.22 tff(9146,plain,
% 24.46/16.22 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB53)) | v130(constB53, bitIndex1))),
% 24.46/16.22 inference(quant_inst,[status(thm)],[])).
% 24.46/16.22 tff(9147,plain,
% 24.46/16.22 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB53)) | v130(constB53, bitIndex1)),
% 24.46/16.22 inference(modus_ponens,[status(thm)],[9146, 9145])).
% 24.46/16.22 tff(9148,plain,
% 24.46/16.22 (v130(constB53, bitIndex1)),
% 24.46/16.22 inference(unit_resolution,[status(thm)],[9147, 1539, 9021])).
% 24.46/16.22 tff(9149,plain,
% 24.46/16.22 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1))),
% 24.46/16.22 inference(rewrite,[status(thm)],[])).
% 24.46/16.22 tff(9150,plain,
% 24.46/16.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1))),
% 24.46/16.22 inference(quant_inst,[status(thm)],[])).
% 24.46/16.22 tff(9151,plain,
% 24.46/16.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1)),
% 24.51/16.22 inference(modus_ponens,[status(thm)],[9150, 9149])).
% 24.51/16.22 tff(9152,plain,
% 24.51/16.22 ((~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1)),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9151, 1553, 9046])).
% 24.51/16.22 tff(9153,plain,
% 24.51/16.22 (v127(constB53, bitIndex1)),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9152, 9148])).
% 24.51/16.22 tff(9154,plain,
% 24.51/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1))),
% 24.51/16.22 inference(rewrite,[status(thm)],[])).
% 24.51/16.22 tff(9155,plain,
% 24.51/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1))),
% 24.51/16.22 inference(quant_inst,[status(thm)],[])).
% 24.51/16.22 tff(9156,plain,
% 24.51/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1)),
% 24.51/16.22 inference(modus_ponens,[status(thm)],[9155, 9154])).
% 24.51/16.22 tff(9157,plain,
% 24.51/16.22 ((~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1)),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9156, 1568, 9064])).
% 24.51/16.22 tff(9158,plain,
% 24.51/16.22 (v129(constB54, bitIndex1)),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9157, 9153])).
% 24.51/16.22 tff(9159,plain,
% 24.51/16.22 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))),
% 24.51/16.22 inference(rewrite,[status(thm)],[])).
% 24.51/16.22 tff(9160,plain,
% 24.51/16.22 ((v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1))) <=> (v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))),
% 24.51/16.22 inference(rewrite,[status(thm)],[])).
% 24.51/16.22 tff(9161,plain,
% 24.51/16.22 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54))))),
% 24.51/16.22 inference(monotonicity,[status(thm)],[9160])).
% 24.51/16.22 tff(9162,plain,
% 24.51/16.22 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))),
% 24.51/16.22 inference(transitivity,[status(thm)],[9161, 9159])).
% 24.51/16.22 tff(9163,plain,
% 24.51/16.22 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1)))),
% 24.51/16.22 inference(quant_inst,[status(thm)],[])).
% 24.51/16.22 tff(9164,plain,
% 24.51/16.22 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54))),
% 24.51/16.22 inference(modus_ponens,[status(thm)],[9163, 9162])).
% 24.51/16.22 tff(9165,plain,
% 24.51/16.22 (v90(constB54, bitIndex1) | (~v100(constB54))),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9164, 1583, 9158])).
% 24.51/16.22 tff(9166,plain,
% 24.51/16.22 (v90(constB54, bitIndex1)),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9165, 9095])).
% 24.51/16.22 tff(9167,plain,
% 24.51/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))),
% 24.51/16.22 inference(rewrite,[status(thm)],[])).
% 24.51/16.22 tff(9168,plain,
% 24.51/16.22 (((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1)) <=> ((~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))),
% 24.51/16.22 inference(rewrite,[status(thm)],[])).
% 24.51/16.22 tff(9169,plain,
% 24.51/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1)))),
% 24.51/16.22 inference(monotonicity,[status(thm)],[9168])).
% 24.51/16.22 tff(9170,plain,
% 24.51/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))),
% 24.51/16.22 inference(transitivity,[status(thm)],[9169, 9167])).
% 24.51/16.22 tff(9171,plain,
% 24.51/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1))),
% 24.51/16.22 inference(quant_inst,[status(thm)],[])).
% 24.51/16.22 tff(9172,plain,
% 24.51/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1)),
% 24.51/16.22 inference(modus_ponens,[status(thm)],[9171, 9170])).
% 24.51/16.22 tff(9173,plain,
% 24.51/16.22 ((~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1)),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9172, 1601, 9123])).
% 24.51/16.22 tff(9174,plain,
% 24.51/16.22 ((~v90(constB54, bitIndex1)) | v90(constB55, bitIndex1)),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9173, 9135])).
% 24.51/16.22 tff(9175,plain,
% 24.51/16.22 (v90(constB55, bitIndex1)),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9174, 9166])).
% 24.51/16.22 tff(9176,plain,
% 24.51/16.22 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB53)) | (~v130(constB53, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB53)) | (~v130(constB53, bitIndex0)))),
% 24.51/16.22 inference(rewrite,[status(thm)],[])).
% 24.51/16.22 tff(9177,plain,
% 24.51/16.22 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB53)) | (~v130(constB53, bitIndex0)))),
% 24.51/16.22 inference(quant_inst,[status(thm)],[])).
% 24.51/16.22 tff(9178,plain,
% 24.51/16.22 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB53)) | (~v130(constB53, bitIndex0))),
% 24.51/16.22 inference(modus_ponens,[status(thm)],[9177, 9176])).
% 24.51/16.22 tff(9179,plain,
% 24.51/16.22 (~v130(constB53, bitIndex0)),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9178, 1617, 9021])).
% 24.51/16.22 tff(9180,plain,
% 24.51/16.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB53, bitIndex0)) | v26(constB53) | v130(constB53, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB53, bitIndex0)) | v26(constB53) | v130(constB53, bitIndex0))),
% 24.51/16.22 inference(rewrite,[status(thm)],[])).
% 24.51/16.22 tff(9181,plain,
% 24.51/16.22 ((v26(constB53) | v130(constB53, bitIndex0) | (~v127(constB53, bitIndex0))) <=> ((~v127(constB53, bitIndex0)) | v26(constB53) | v130(constB53, bitIndex0))),
% 24.51/16.22 inference(rewrite,[status(thm)],[])).
% 24.51/16.22 tff(9182,plain,
% 24.51/16.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB53) | v130(constB53, bitIndex0) | (~v127(constB53, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB53, bitIndex0)) | v26(constB53) | v130(constB53, bitIndex0)))),
% 24.51/16.22 inference(monotonicity,[status(thm)],[9181])).
% 24.51/16.22 tff(9183,plain,
% 24.51/16.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB53) | v130(constB53, bitIndex0) | (~v127(constB53, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB53, bitIndex0)) | v26(constB53) | v130(constB53, bitIndex0))),
% 24.51/16.22 inference(transitivity,[status(thm)],[9182, 9180])).
% 24.51/16.22 tff(9184,plain,
% 24.51/16.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB53) | v130(constB53, bitIndex0) | (~v127(constB53, bitIndex0)))),
% 24.51/16.22 inference(quant_inst,[status(thm)],[])).
% 24.51/16.22 tff(9185,plain,
% 24.51/16.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB53, bitIndex0)) | v26(constB53) | v130(constB53, bitIndex0)),
% 24.51/16.22 inference(modus_ponens,[status(thm)],[9184, 9183])).
% 24.51/16.22 tff(9186,plain,
% 24.51/16.22 ((~v127(constB53, bitIndex0)) | v130(constB53, bitIndex0)),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9185, 1341, 9046])).
% 24.51/16.22 tff(9187,plain,
% 24.51/16.22 (~v127(constB53, bitIndex0)),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9186, 9179])).
% 24.51/16.22 tff(9188,plain,
% 24.51/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB53, constB54)) | v127(constB53, bitIndex0) | (~v129(constB54, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB53, constB54)) | v127(constB53, bitIndex0) | (~v129(constB54, bitIndex0)))),
% 24.51/16.22 inference(rewrite,[status(thm)],[])).
% 24.51/16.22 tff(9189,plain,
% 24.51/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB53, constB54)) | v127(constB53, bitIndex0) | (~v129(constB54, bitIndex0)))),
% 24.51/16.22 inference(quant_inst,[status(thm)],[])).
% 24.51/16.22 tff(9190,plain,
% 24.51/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB53, constB54)) | v127(constB53, bitIndex0) | (~v129(constB54, bitIndex0))),
% 24.51/16.22 inference(modus_ponens,[status(thm)],[9189, 9188])).
% 24.51/16.22 tff(9191,plain,
% 24.51/16.22 (v127(constB53, bitIndex0) | (~v129(constB54, bitIndex0))),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9190, 1359, 9064])).
% 24.51/16.22 tff(9192,plain,
% 24.51/16.22 (~v129(constB54, bitIndex0)),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9191, 9187])).
% 24.51/16.22 tff(9193,plain,
% 24.51/16.22 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | v129(constB54, bitIndex0) | (~v100(constB54)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB54, bitIndex0)) | v129(constB54, bitIndex0) | (~v100(constB54)))),
% 24.51/16.22 inference(rewrite,[status(thm)],[])).
% 24.51/16.22 tff(9194,plain,
% 24.51/16.22 (((~v90(constB54, bitIndex0)) | (~v100(constB54)) | v129(constB54, bitIndex0)) <=> ((~v90(constB54, bitIndex0)) | v129(constB54, bitIndex0) | (~v100(constB54)))),
% 24.51/16.22 inference(rewrite,[status(thm)],[])).
% 24.51/16.22 tff(9195,plain,
% 24.51/16.22 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | (~v100(constB54)) | v129(constB54, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | v129(constB54, bitIndex0) | (~v100(constB54))))),
% 24.51/16.22 inference(monotonicity,[status(thm)],[9194])).
% 24.51/16.22 tff(9196,plain,
% 24.51/16.22 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | (~v100(constB54)) | v129(constB54, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB54, bitIndex0)) | v129(constB54, bitIndex0) | (~v100(constB54)))),
% 24.51/16.22 inference(transitivity,[status(thm)],[9195, 9193])).
% 24.51/16.22 tff(9197,plain,
% 24.51/16.22 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | (~v100(constB54)) | v129(constB54, bitIndex0))),
% 24.51/16.22 inference(quant_inst,[status(thm)],[])).
% 24.51/16.22 tff(9198,plain,
% 24.51/16.22 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB54, bitIndex0)) | v129(constB54, bitIndex0) | (~v100(constB54))),
% 24.51/16.22 inference(modus_ponens,[status(thm)],[9197, 9196])).
% 24.51/16.22 tff(9199,plain,
% 24.51/16.22 ((~v90(constB54, bitIndex0)) | (~v100(constB54))),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9198, 1374, 9192])).
% 24.51/16.22 tff(9200,plain,
% 24.51/16.22 (~v90(constB54, bitIndex0)),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9199, 9095])).
% 24.51/16.22 tff(9201,plain,
% 24.51/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex0)))),
% 24.51/16.22 inference(rewrite,[status(thm)],[])).
% 24.51/16.22 tff(9202,plain,
% 24.51/16.22 (((~nextState(constB54, constB55)) | v90(constB54, bitIndex0) | v100(constB55) | (~v90(constB55, bitIndex0))) <=> (v90(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex0)))),
% 24.51/16.22 inference(rewrite,[status(thm)],[])).
% 24.51/16.22 tff(9203,plain,
% 24.51/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex0) | v100(constB55) | (~v90(constB55, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex0))))),
% 24.51/16.22 inference(monotonicity,[status(thm)],[9202])).
% 24.51/16.22 tff(9204,plain,
% 24.51/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex0) | v100(constB55) | (~v90(constB55, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex0)))),
% 24.51/16.22 inference(transitivity,[status(thm)],[9203, 9201])).
% 24.51/16.22 tff(9205,plain,
% 24.51/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex0) | v100(constB55) | (~v90(constB55, bitIndex0)))),
% 24.51/16.22 inference(quant_inst,[status(thm)],[])).
% 24.51/16.22 tff(9206,plain,
% 24.51/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex0))),
% 24.51/16.22 inference(modus_ponens,[status(thm)],[9205, 9204])).
% 24.51/16.22 tff(9207,plain,
% 24.51/16.22 (v90(constB54, bitIndex0) | v100(constB55) | (~v90(constB55, bitIndex0))),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9206, 934, 9123])).
% 24.51/16.22 tff(9208,plain,
% 24.51/16.22 (v90(constB54, bitIndex0) | (~v90(constB55, bitIndex0))),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9207, 9135])).
% 24.51/16.22 tff(9209,plain,
% 24.51/16.22 (~v90(constB55, bitIndex0)),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9208, 9200])).
% 24.51/16.22 tff(9210,plain,
% 24.51/16.22 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2)) | v125(constB55))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2)) | v125(constB55))),
% 24.51/16.22 inference(rewrite,[status(thm)],[])).
% 24.51/16.22 tff(9211,plain,
% 24.51/16.22 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2)) | v125(constB55))),
% 24.51/16.22 inference(quant_inst,[status(thm)],[])).
% 24.51/16.22 tff(9212,plain,
% 24.51/16.22 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2)) | v125(constB55)),
% 24.51/16.22 inference(modus_ponens,[status(thm)],[9211, 9210])).
% 24.51/16.22 tff(9213,plain,
% 24.51/16.22 (v125(constB55)),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9212, 1661, 9209, 9175, 9144])).
% 24.51/16.22 tff(9214,plain,
% 24.51/16.22 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB55)) | v113(constB55))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB55)) | v113(constB55))),
% 24.51/16.22 inference(rewrite,[status(thm)],[])).
% 24.51/16.22 tff(9215,plain,
% 24.51/16.22 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB55)) | v113(constB55))),
% 24.51/16.22 inference(quant_inst,[status(thm)],[])).
% 24.51/16.22 tff(9216,plain,
% 24.51/16.22 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB55)) | v113(constB55)),
% 24.51/16.22 inference(modus_ponens,[status(thm)],[9215, 9214])).
% 24.51/16.22 tff(9217,plain,
% 24.51/16.22 (v113(constB55)),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9216, 1672, 9213])).
% 24.51/16.22 tff(9218,assumption,(v26(constB55)), introduced(assumption)).
% 24.51/16.22 tff(9219,plain,
% 24.51/16.22 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB55))),
% 24.51/16.22 inference(quant_inst,[status(thm)],[])).
% 24.51/16.22 tff(9220,plain,
% 24.51/16.22 ($false),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9219, 797, 9218])).
% 24.51/16.22 tff(9221,plain,(~v26(constB55)), inference(lemma,lemma(discharge,[]))).
% 24.51/16.22 tff(9222,plain,
% 24.51/16.22 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | (~v113(constB55)) | v112(constB55))),
% 24.51/16.22 inference(rewrite,[status(thm)],[])).
% 24.51/16.22 tff(9223,plain,
% 24.51/16.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))),
% 24.51/16.22 inference(quant_inst,[status(thm)],[])).
% 24.51/16.22 tff(9224,plain,
% 24.51/16.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | (~v113(constB55)) | v112(constB55)),
% 24.51/16.22 inference(modus_ponens,[status(thm)],[9223, 9222])).
% 24.51/16.22 tff(9225,plain,
% 24.51/16.22 ((~v113(constB55)) | v112(constB55)),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9224, 1050, 9221])).
% 24.51/16.22 tff(9226,plain,
% 24.51/16.22 (v112(constB55)),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9225, 9217])).
% 24.51/16.22 tff(9227,plain,
% 24.51/16.22 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB55) | (~v112(constB55)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v112(constB55)))),
% 24.51/16.22 inference(rewrite,[status(thm)],[])).
% 24.51/16.22 tff(9228,plain,
% 24.51/16.22 (((~v112(constB55)) | v108(constB55)) <=> (v108(constB55) | (~v112(constB55)))),
% 24.51/16.22 inference(rewrite,[status(thm)],[])).
% 24.51/16.22 tff(9229,plain,
% 24.51/16.22 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB55)) | v108(constB55))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB55) | (~v112(constB55))))),
% 24.51/16.22 inference(monotonicity,[status(thm)],[9228])).
% 24.51/16.22 tff(9230,plain,
% 24.51/16.22 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB55)) | v108(constB55))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v112(constB55)))),
% 24.51/16.22 inference(transitivity,[status(thm)],[9229, 9227])).
% 24.51/16.22 tff(9231,plain,
% 24.51/16.22 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB55)) | v108(constB55))),
% 24.51/16.22 inference(quant_inst,[status(thm)],[])).
% 24.51/16.22 tff(9232,plain,
% 24.51/16.22 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v112(constB55))),
% 24.51/16.22 inference(modus_ponens,[status(thm)],[9231, 9230])).
% 24.51/16.22 tff(9233,plain,
% 24.51/16.22 (v108(constB55)),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9232, 1062, 9226])).
% 24.51/16.22 tff(9234,plain,
% 24.51/16.22 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 24.51/16.22 inference(rewrite,[status(thm)],[])).
% 24.51/16.22 tff(9235,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_55_1')).
% 24.51/16.22 tff(9236,plain,
% 24.51/16.22 (nextState(constB55, constB56)),
% 24.51/16.22 inference(modus_ponens,[status(thm)],[9235, 9234])).
% 24.51/16.22 tff(9237,plain,
% 24.51/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 24.51/16.22 inference(rewrite,[status(thm)],[])).
% 24.51/16.22 tff(9238,plain,
% 24.51/16.22 (((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56)) <=> ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 24.51/16.22 inference(rewrite,[status(thm)],[])).
% 24.51/16.22 tff(9239,plain,
% 24.51/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55))))),
% 24.51/16.22 inference(monotonicity,[status(thm)],[9238])).
% 24.51/16.22 tff(9240,plain,
% 24.51/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 24.51/16.22 inference(transitivity,[status(thm)],[9239, 9237])).
% 24.51/16.22 tff(9241,plain,
% 24.51/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))),
% 24.51/16.22 inference(quant_inst,[status(thm)],[])).
% 24.51/16.22 tff(9242,plain,
% 24.51/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55))),
% 24.51/16.22 inference(modus_ponens,[status(thm)],[9241, 9240])).
% 24.51/16.22 tff(9243,plain,
% 24.51/16.22 (v110(constB56) | (~v108(constB55))),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9242, 1082, 9236])).
% 24.51/16.22 tff(9244,plain,
% 24.51/16.22 (v110(constB56)),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9243, 9233])).
% 24.51/16.22 tff(9245,plain,
% 24.51/16.22 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))),
% 24.51/16.22 inference(rewrite,[status(thm)],[])).
% 24.51/16.22 tff(9246,plain,
% 24.51/16.22 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))),
% 24.51/16.22 inference(quant_inst,[status(thm)],[])).
% 24.51/16.22 tff(9247,plain,
% 24.51/16.22 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56))),
% 24.51/16.22 inference(modus_ponens,[status(thm)],[9246, 9245])).
% 24.51/16.22 tff(9248,plain,
% 24.51/16.22 (~v104(constB56)),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9247, 1100, 9236, 9120])).
% 24.51/16.22 tff(9249,plain,
% 24.51/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))),
% 24.51/16.22 inference(rewrite,[status(thm)],[])).
% 24.51/16.22 tff(9250,plain,
% 24.51/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))),
% 24.51/16.22 inference(quant_inst,[status(thm)],[])).
% 24.51/16.22 tff(9251,plain,
% 24.51/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v102(constB56) | v104(constB56)),
% 24.51/16.22 inference(modus_ponens,[status(thm)],[9250, 9249])).
% 24.51/16.22 tff(9252,plain,
% 24.51/16.22 (v102(constB56) | v104(constB56)),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9251, 1114, 9236])).
% 24.51/16.22 tff(9253,plain,
% 24.51/16.22 (v102(constB56)),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9252, 9248])).
% 24.51/16.22 tff(9254,plain,
% 24.51/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))),
% 24.51/16.22 inference(rewrite,[status(thm)],[])).
% 24.51/16.22 tff(9255,plain,
% 24.51/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))),
% 24.51/16.22 inference(quant_inst,[status(thm)],[])).
% 24.51/16.22 tff(9256,plain,
% 24.51/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56))),
% 24.51/16.22 inference(modus_ponens,[status(thm)],[9255, 9254])).
% 24.51/16.22 tff(9257,plain,
% 24.51/16.22 (v101(constB56) | (~v102(constB56))),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9256, 1129, 9236, 284])).
% 24.51/16.22 tff(9258,plain,
% 24.51/16.22 (v101(constB56)),
% 24.51/16.22 inference(unit_resolution,[status(thm)],[9257, 9253])).
% 24.51/16.22 tff(9259,plain,
% 24.51/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9260,plain,
% 24.51/16.23 (((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56)) <=> ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9261,plain,
% 24.51/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56))))),
% 24.51/16.23 inference(monotonicity,[status(thm)],[9260])).
% 24.51/16.23 tff(9262,plain,
% 24.51/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 24.51/16.23 inference(transitivity,[status(thm)],[9261, 9259])).
% 24.51/16.23 tff(9263,plain,
% 24.51/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))),
% 24.51/16.23 inference(quant_inst,[status(thm)],[])).
% 24.51/16.23 tff(9264,plain,
% 24.51/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 24.51/16.23 inference(modus_ponens,[status(thm)],[9263, 9262])).
% 24.51/16.23 tff(9265,plain,
% 24.51/16.23 (v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9264, 1144, 9236])).
% 24.51/16.23 tff(9266,plain,
% 24.51/16.23 (v100(constB56) | (~v110(constB56))),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9265, 9258])).
% 24.51/16.23 tff(9267,plain,
% 24.51/16.23 (v100(constB56)),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9266, 9244])).
% 24.51/16.23 tff(9268,plain,
% 24.51/16.23 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB55)) | (~v90(constB55, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB55)) | (~v90(constB55, bitIndex2)))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9269,plain,
% 24.51/16.23 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB55)) | (~v90(constB55, bitIndex2)))),
% 24.51/16.23 inference(quant_inst,[status(thm)],[])).
% 24.51/16.23 tff(9270,plain,
% 24.51/16.23 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB55)) | (~v90(constB55, bitIndex2))),
% 24.51/16.23 inference(modus_ponens,[status(thm)],[9269, 9268])).
% 24.51/16.23 tff(9271,plain,
% 24.51/16.23 (~v122(constB55)),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9270, 1740, 9144])).
% 24.51/16.23 tff(9272,plain,
% 24.51/16.23 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB55)) | (~v90(constB55, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB55)) | (~v90(constB55, bitIndex2)))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9273,plain,
% 24.51/16.23 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB55)) | (~v90(constB55, bitIndex2)))),
% 24.51/16.23 inference(quant_inst,[status(thm)],[])).
% 24.51/16.23 tff(9274,plain,
% 24.51/16.23 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB55)) | (~v90(constB55, bitIndex2))),
% 24.51/16.23 inference(modus_ponens,[status(thm)],[9273, 9272])).
% 24.51/16.23 tff(9275,plain,
% 24.51/16.23 (~v121(constB55)),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9274, 1729, 9144])).
% 24.51/16.23 tff(9276,plain,
% 24.51/16.23 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB55)) | (~v90(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB55)) | (~v90(constB55, bitIndex1)))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9277,plain,
% 24.51/16.23 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB55)) | (~v90(constB55, bitIndex1)))),
% 24.51/16.23 inference(quant_inst,[status(thm)],[])).
% 24.51/16.23 tff(9278,plain,
% 24.51/16.23 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB55)) | (~v90(constB55, bitIndex1))),
% 24.51/16.23 inference(modus_ponens,[status(thm)],[9277, 9276])).
% 24.51/16.23 tff(9279,plain,
% 24.51/16.23 (~v124(constB55)),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9278, 1784, 9175])).
% 24.51/16.23 tff(9280,plain,
% 24.51/16.23 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB55)) | (~v90(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB55)) | (~v90(constB55, bitIndex1)))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9281,plain,
% 24.51/16.23 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB55)) | (~v90(constB55, bitIndex1)))),
% 24.51/16.23 inference(quant_inst,[status(thm)],[])).
% 24.51/16.23 tff(9282,plain,
% 24.51/16.23 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB55)) | (~v90(constB55, bitIndex1))),
% 24.51/16.23 inference(modus_ponens,[status(thm)],[9281, 9280])).
% 24.51/16.23 tff(9283,plain,
% 24.51/16.23 (~v120(constB55)),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9282, 1762, 9175])).
% 24.51/16.23 tff(9284,plain,
% 24.51/16.23 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB55)) | (~v90(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB55)) | (~v90(constB55, bitIndex1)))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9285,plain,
% 24.51/16.23 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB55)) | (~v90(constB55, bitIndex1)))),
% 24.51/16.23 inference(quant_inst,[status(thm)],[])).
% 24.51/16.23 tff(9286,plain,
% 24.51/16.23 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB55)) | (~v90(constB55, bitIndex1))),
% 24.51/16.23 inference(modus_ponens,[status(thm)],[9285, 9284])).
% 24.51/16.23 tff(9287,plain,
% 24.51/16.23 (~v123(constB55)),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9286, 1773, 9175])).
% 24.51/16.23 tff(9288,plain,
% 24.51/16.23 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB55)) | (~v90(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB55)) | (~v90(constB55, bitIndex1)))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9289,plain,
% 24.51/16.23 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB55)) | (~v90(constB55, bitIndex1)))),
% 24.51/16.23 inference(quant_inst,[status(thm)],[])).
% 24.51/16.23 tff(9290,plain,
% 24.51/16.23 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB55)) | (~v90(constB55, bitIndex1))),
% 24.51/16.23 inference(modus_ponens,[status(thm)],[9289, 9288])).
% 24.51/16.23 tff(9291,plain,
% 24.51/16.23 (~v119(constB55)),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9290, 1751, 9175])).
% 24.51/16.23 tff(9292,plain,
% 24.51/16.23 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex2)))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9293,plain,
% 24.51/16.23 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex2)))),
% 24.51/16.23 inference(quant_inst,[status(thm)],[])).
% 24.51/16.23 tff(9294,plain,
% 24.51/16.23 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex2))),
% 24.51/16.23 inference(modus_ponens,[status(thm)],[9293, 9292])).
% 24.51/16.23 tff(9295,plain,
% 24.51/16.23 (~v130(constB55, bitIndex2)),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9294, 1798, 9291, 9287, 9283, 9279, 9275, 9271])).
% 24.51/16.23 tff(9296,plain,
% 24.51/16.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9297,plain,
% 24.51/16.23 ((v26(constB55) | v130(constB55, bitIndex2) | (~v127(constB55, bitIndex2))) <=> ((~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9298,plain,
% 24.51/16.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB55) | v130(constB55, bitIndex2) | (~v127(constB55, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2)))),
% 24.51/16.23 inference(monotonicity,[status(thm)],[9297])).
% 24.51/16.23 tff(9299,plain,
% 24.51/16.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB55) | v130(constB55, bitIndex2) | (~v127(constB55, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2))),
% 24.51/16.23 inference(transitivity,[status(thm)],[9298, 9296])).
% 24.51/16.23 tff(9300,plain,
% 24.51/16.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB55) | v130(constB55, bitIndex2) | (~v127(constB55, bitIndex2)))),
% 24.51/16.23 inference(quant_inst,[status(thm)],[])).
% 24.51/16.23 tff(9301,plain,
% 24.51/16.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2)),
% 24.51/16.23 inference(modus_ponens,[status(thm)],[9300, 9299])).
% 24.51/16.23 tff(9302,plain,
% 24.51/16.23 ((~v127(constB55, bitIndex2)) | v130(constB55, bitIndex2)),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9301, 1812, 9221])).
% 24.51/16.23 tff(9303,plain,
% 24.51/16.23 (~v127(constB55, bitIndex2)),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9302, 9295])).
% 24.51/16.23 tff(9304,plain,
% 24.51/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex2) | (~v129(constB56, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex2) | (~v129(constB56, bitIndex2)))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9305,plain,
% 24.51/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex2) | (~v129(constB56, bitIndex2)))),
% 24.51/16.23 inference(quant_inst,[status(thm)],[])).
% 24.51/16.23 tff(9306,plain,
% 24.51/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex2) | (~v129(constB56, bitIndex2))),
% 24.51/16.23 inference(modus_ponens,[status(thm)],[9305, 9304])).
% 24.51/16.23 tff(9307,plain,
% 24.51/16.23 (v127(constB55, bitIndex2) | (~v129(constB56, bitIndex2))),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9306, 1830, 9236])).
% 24.51/16.23 tff(9308,plain,
% 24.51/16.23 (~v129(constB56, bitIndex2)),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9307, 9303])).
% 24.51/16.23 tff(9309,plain,
% 24.51/16.23 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB56, bitIndex2)) | v129(constB56, bitIndex2) | (~v100(constB56)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB56, bitIndex2)) | v129(constB56, bitIndex2) | (~v100(constB56)))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9310,plain,
% 24.51/16.23 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB56, bitIndex2)) | v129(constB56, bitIndex2) | (~v100(constB56)))),
% 24.51/16.23 inference(quant_inst,[status(thm)],[])).
% 24.51/16.23 tff(9311,plain,
% 24.51/16.23 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB56, bitIndex2)) | v129(constB56, bitIndex2) | (~v100(constB56))),
% 24.51/16.23 inference(modus_ponens,[status(thm)],[9310, 9309])).
% 24.51/16.23 tff(9312,plain,
% 24.51/16.23 ((~v90(constB56, bitIndex2)) | (~v100(constB56))),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9311, 1845, 9308])).
% 24.51/16.23 tff(9313,plain,
% 24.51/16.23 (~v90(constB56, bitIndex2)),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9312, 9267])).
% 24.51/16.23 tff(9314,plain,
% 24.51/16.23 ((~v1(constB57)) <=> (~v1(constB57))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9315,axiom,(~v1(constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_57_1_1')).
% 24.51/16.23 tff(9316,plain,
% 24.51/16.23 (~v1(constB57)),
% 24.51/16.23 inference(modus_ponens,[status(thm)],[9315, 9314])).
% 24.51/16.23 tff(9317,plain,
% 24.51/16.23 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9318,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_56_1')).
% 24.51/16.23 tff(9319,plain,
% 24.51/16.23 (nextState(constB56, constB57)),
% 24.51/16.23 inference(modus_ponens,[status(thm)],[9318, 9317])).
% 24.51/16.23 tff(9320,plain,
% 24.51/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9321,plain,
% 24.51/16.23 (((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57)) <=> (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9322,plain,
% 24.51/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57))))),
% 24.51/16.23 inference(monotonicity,[status(thm)],[9321])).
% 24.51/16.23 tff(9323,plain,
% 24.51/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 24.51/16.23 inference(transitivity,[status(thm)],[9322, 9320])).
% 24.51/16.23 tff(9324,plain,
% 24.51/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))),
% 24.51/16.23 inference(quant_inst,[status(thm)],[])).
% 24.51/16.23 tff(9325,plain,
% 24.51/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57))),
% 24.51/16.23 inference(modus_ponens,[status(thm)],[9324, 9323])).
% 24.51/16.23 tff(9326,plain,
% 24.51/16.23 (~v101(constB57)),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9325, 860, 9319, 9316])).
% 24.51/16.23 tff(9327,plain,
% 24.51/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9328,plain,
% 24.51/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))),
% 24.51/16.23 inference(quant_inst,[status(thm)],[])).
% 24.51/16.23 tff(9329,plain,
% 24.51/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57))),
% 24.51/16.23 inference(modus_ponens,[status(thm)],[9328, 9327])).
% 24.51/16.23 tff(9330,plain,
% 24.51/16.23 (v101(constB57) | (~v100(constB57))),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9329, 877, 9319])).
% 24.51/16.23 tff(9331,plain,
% 24.51/16.23 (~v100(constB57)),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9330, 9326])).
% 24.51/16.23 tff(9332,plain,
% 24.51/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex2)))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9333,plain,
% 24.51/16.23 (((~nextState(constB56, constB57)) | v90(constB56, bitIndex2) | v100(constB57) | (~v90(constB57, bitIndex2))) <=> (v90(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex2)))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9334,plain,
% 24.51/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex2) | v100(constB57) | (~v90(constB57, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex2))))),
% 24.51/16.23 inference(monotonicity,[status(thm)],[9333])).
% 24.51/16.23 tff(9335,plain,
% 24.51/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex2) | v100(constB57) | (~v90(constB57, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex2)))),
% 24.51/16.23 inference(transitivity,[status(thm)],[9334, 9332])).
% 24.51/16.23 tff(9336,plain,
% 24.51/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex2) | v100(constB57) | (~v90(constB57, bitIndex2)))),
% 24.51/16.23 inference(quant_inst,[status(thm)],[])).
% 24.51/16.23 tff(9337,plain,
% 24.51/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex2))),
% 24.51/16.23 inference(modus_ponens,[status(thm)],[9336, 9335])).
% 24.51/16.23 tff(9338,plain,
% 24.51/16.23 (v90(constB56, bitIndex2) | v100(constB57) | (~v90(constB57, bitIndex2))),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9337, 892, 9319])).
% 24.51/16.23 tff(9339,plain,
% 24.51/16.23 (v90(constB56, bitIndex2) | (~v90(constB57, bitIndex2))),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9338, 9331])).
% 24.51/16.23 tff(9340,plain,
% 24.51/16.23 (~v90(constB57, bitIndex2)),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9339, 9313])).
% 24.51/16.23 tff(9341,plain,
% 24.51/16.23 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex1)))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9342,plain,
% 24.51/16.23 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex1)))),
% 24.51/16.23 inference(quant_inst,[status(thm)],[])).
% 24.51/16.23 tff(9343,plain,
% 24.51/16.23 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex1))),
% 24.51/16.23 inference(modus_ponens,[status(thm)],[9342, 9341])).
% 24.51/16.23 tff(9344,plain,
% 24.51/16.23 (~v130(constB55, bitIndex1)),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9343, 1887, 9291, 9287, 9283, 9279, 9275, 9271])).
% 24.51/16.23 tff(9345,plain,
% 24.51/16.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9346,plain,
% 24.51/16.23 ((v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1))) <=> ((~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9347,plain,
% 24.51/16.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1)))),
% 24.51/16.23 inference(monotonicity,[status(thm)],[9346])).
% 24.51/16.23 tff(9348,plain,
% 24.51/16.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))),
% 24.51/16.23 inference(transitivity,[status(thm)],[9347, 9345])).
% 24.51/16.23 tff(9349,plain,
% 24.51/16.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1)))),
% 24.51/16.23 inference(quant_inst,[status(thm)],[])).
% 24.51/16.23 tff(9350,plain,
% 24.51/16.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1)),
% 24.51/16.23 inference(modus_ponens,[status(thm)],[9349, 9348])).
% 24.51/16.23 tff(9351,plain,
% 24.51/16.23 ((~v127(constB55, bitIndex1)) | v130(constB55, bitIndex1)),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9350, 1270, 9221])).
% 24.51/16.23 tff(9352,plain,
% 24.51/16.23 (~v127(constB55, bitIndex1)),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9351, 9344])).
% 24.51/16.23 tff(9353,plain,
% 24.51/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1)))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9354,plain,
% 24.51/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1)))),
% 24.51/16.23 inference(quant_inst,[status(thm)],[])).
% 24.51/16.23 tff(9355,plain,
% 24.51/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1))),
% 24.51/16.23 inference(modus_ponens,[status(thm)],[9354, 9353])).
% 24.51/16.23 tff(9356,plain,
% 24.51/16.23 (v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1))),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9355, 1288, 9236])).
% 24.51/16.23 tff(9357,plain,
% 24.51/16.23 (~v129(constB56, bitIndex1)),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9356, 9352])).
% 24.51/16.23 tff(9358,plain,
% 24.51/16.23 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9359,plain,
% 24.51/16.23 (((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1)) <=> ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9360,plain,
% 24.51/16.23 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56))))),
% 24.51/16.23 inference(monotonicity,[status(thm)],[9359])).
% 24.51/16.23 tff(9361,plain,
% 24.51/16.23 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))),
% 24.51/16.23 inference(transitivity,[status(thm)],[9360, 9358])).
% 24.51/16.23 tff(9362,plain,
% 24.51/16.23 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1))),
% 24.51/16.23 inference(quant_inst,[status(thm)],[])).
% 24.51/16.23 tff(9363,plain,
% 24.51/16.23 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56))),
% 24.51/16.23 inference(modus_ponens,[status(thm)],[9362, 9361])).
% 24.51/16.23 tff(9364,plain,
% 24.51/16.23 ((~v90(constB56, bitIndex1)) | (~v100(constB56))),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9363, 1303, 9357])).
% 24.51/16.23 tff(9365,plain,
% 24.51/16.23 (~v90(constB56, bitIndex1)),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9364, 9267])).
% 24.51/16.23 tff(9366,plain,
% 24.51/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9367,plain,
% 24.51/16.23 (((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1))) <=> (v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9368,plain,
% 24.51/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1))))),
% 24.51/16.23 inference(monotonicity,[status(thm)],[9367])).
% 24.51/16.23 tff(9369,plain,
% 24.51/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 24.51/16.23 inference(transitivity,[status(thm)],[9368, 9366])).
% 24.51/16.23 tff(9370,plain,
% 24.51/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 24.51/16.23 inference(quant_inst,[status(thm)],[])).
% 24.51/16.23 tff(9371,plain,
% 24.51/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1))),
% 24.51/16.23 inference(modus_ponens,[status(thm)],[9370, 9369])).
% 24.51/16.23 tff(9372,plain,
% 24.51/16.23 (v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1))),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9371, 913, 9319])).
% 24.51/16.23 tff(9373,plain,
% 24.51/16.23 (v90(constB56, bitIndex1) | (~v90(constB57, bitIndex1))),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9372, 9331])).
% 24.51/16.23 tff(9374,plain,
% 24.51/16.23 (~v90(constB57, bitIndex1)),
% 24.51/16.23 inference(unit_resolution,[status(thm)],[9373, 9365])).
% 24.51/16.23 tff(9375,plain,
% 24.51/16.23 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | v130(constB55, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | v130(constB55, bitIndex0))),
% 24.51/16.23 inference(rewrite,[status(thm)],[])).
% 24.51/16.23 tff(9376,plain,
% 24.51/16.23 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | v130(constB55, bitIndex0))),
% 24.51/16.24 inference(quant_inst,[status(thm)],[])).
% 24.51/16.24 tff(9377,plain,
% 24.51/16.24 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | v130(constB55, bitIndex0)),
% 24.51/16.24 inference(modus_ponens,[status(thm)],[9376, 9375])).
% 24.51/16.24 tff(9378,plain,
% 24.51/16.24 (v130(constB55, bitIndex0)),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9377, 1931, 9291, 9287, 9283, 9279, 9275, 9271])).
% 24.51/16.24 tff(9379,plain,
% 24.51/16.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB55) | (~v130(constB55, bitIndex0)) | v127(constB55, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB55) | (~v130(constB55, bitIndex0)) | v127(constB55, bitIndex0))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9380,plain,
% 24.51/16.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB55) | (~v130(constB55, bitIndex0)) | v127(constB55, bitIndex0))),
% 24.51/16.24 inference(quant_inst,[status(thm)],[])).
% 24.51/16.24 tff(9381,plain,
% 24.51/16.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB55) | (~v130(constB55, bitIndex0)) | v127(constB55, bitIndex0)),
% 24.51/16.24 inference(modus_ponens,[status(thm)],[9380, 9379])).
% 24.51/16.24 tff(9382,plain,
% 24.51/16.24 ((~v130(constB55, bitIndex0)) | v127(constB55, bitIndex0)),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9381, 1945, 9221])).
% 24.51/16.24 tff(9383,plain,
% 24.51/16.24 (v127(constB55, bitIndex0)),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9382, 9378])).
% 24.51/16.24 tff(9384,plain,
% 24.51/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB55, constB56)) | (~v127(constB55, bitIndex0)) | v129(constB56, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB55, constB56)) | (~v127(constB55, bitIndex0)) | v129(constB56, bitIndex0))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9385,plain,
% 24.51/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB55, constB56)) | (~v127(constB55, bitIndex0)) | v129(constB56, bitIndex0))),
% 24.51/16.24 inference(quant_inst,[status(thm)],[])).
% 24.51/16.24 tff(9386,plain,
% 24.51/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB55, constB56)) | (~v127(constB55, bitIndex0)) | v129(constB56, bitIndex0)),
% 24.51/16.24 inference(modus_ponens,[status(thm)],[9385, 9384])).
% 24.51/16.24 tff(9387,plain,
% 24.51/16.24 ((~v127(constB55, bitIndex0)) | v129(constB56, bitIndex0)),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9386, 1960, 9236])).
% 24.51/16.24 tff(9388,plain,
% 24.51/16.24 (v129(constB56, bitIndex0)),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9387, 9383])).
% 24.51/16.24 tff(9389,plain,
% 24.51/16.24 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~v129(constB56, bitIndex0)) | (~v100(constB56)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~v129(constB56, bitIndex0)) | (~v100(constB56)))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9390,plain,
% 24.51/16.24 ((v90(constB56, bitIndex0) | (~v100(constB56)) | (~v129(constB56, bitIndex0))) <=> (v90(constB56, bitIndex0) | (~v129(constB56, bitIndex0)) | (~v100(constB56)))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9391,plain,
% 24.51/16.24 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~v100(constB56)) | (~v129(constB56, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~v129(constB56, bitIndex0)) | (~v100(constB56))))),
% 24.51/16.24 inference(monotonicity,[status(thm)],[9390])).
% 24.51/16.24 tff(9392,plain,
% 24.51/16.24 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~v100(constB56)) | (~v129(constB56, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~v129(constB56, bitIndex0)) | (~v100(constB56)))),
% 24.51/16.24 inference(transitivity,[status(thm)],[9391, 9389])).
% 24.51/16.24 tff(9393,plain,
% 24.51/16.24 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~v100(constB56)) | (~v129(constB56, bitIndex0)))),
% 24.51/16.24 inference(quant_inst,[status(thm)],[])).
% 24.51/16.24 tff(9394,plain,
% 24.51/16.24 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~v129(constB56, bitIndex0)) | (~v100(constB56))),
% 24.51/16.24 inference(modus_ponens,[status(thm)],[9393, 9392])).
% 24.51/16.24 tff(9395,plain,
% 24.51/16.24 (v90(constB56, bitIndex0) | (~v100(constB56))),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9394, 1975, 9388])).
% 24.51/16.24 tff(9396,plain,
% 24.51/16.24 (v90(constB56, bitIndex0)),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9395, 9267])).
% 24.51/16.24 tff(9397,plain,
% 24.51/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex0))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9398,plain,
% 24.51/16.24 (((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex0)) | v100(constB57) | v90(constB57, bitIndex0)) <=> ((~v90(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex0))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9399,plain,
% 24.51/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex0)) | v100(constB57) | v90(constB57, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex0)))),
% 24.51/16.24 inference(monotonicity,[status(thm)],[9398])).
% 24.51/16.24 tff(9400,plain,
% 24.51/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex0)) | v100(constB57) | v90(constB57, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex0))),
% 24.51/16.24 inference(transitivity,[status(thm)],[9399, 9397])).
% 24.51/16.24 tff(9401,plain,
% 24.51/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex0)) | v100(constB57) | v90(constB57, bitIndex0))),
% 24.51/16.24 inference(quant_inst,[status(thm)],[])).
% 24.51/16.24 tff(9402,plain,
% 24.51/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex0)),
% 24.51/16.24 inference(modus_ponens,[status(thm)],[9401, 9400])).
% 24.51/16.24 tff(9403,plain,
% 24.51/16.24 ((~v90(constB56, bitIndex0)) | v100(constB57) | v90(constB57, bitIndex0)),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9402, 1993, 9319])).
% 24.51/16.24 tff(9404,plain,
% 24.51/16.24 ((~v90(constB56, bitIndex0)) | v90(constB57, bitIndex0)),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9403, 9331])).
% 24.51/16.24 tff(9405,plain,
% 24.51/16.24 (v90(constB57, bitIndex0)),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9404, 9396])).
% 24.51/16.24 tff(9406,plain,
% 24.51/16.24 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v120(constB57))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v120(constB57))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9407,plain,
% 24.51/16.24 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v120(constB57))),
% 24.51/16.24 inference(quant_inst,[status(thm)],[])).
% 24.51/16.24 tff(9408,plain,
% 24.51/16.24 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v120(constB57)),
% 24.51/16.24 inference(modus_ponens,[status(thm)],[9407, 9406])).
% 24.51/16.24 tff(9409,plain,
% 24.51/16.24 (v120(constB57)),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9408, 2012, 9405, 9374, 9340])).
% 24.51/16.24 tff(9410,plain,
% 24.51/16.24 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB57) | (~v120(constB57)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB57) | (~v120(constB57)))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9411,plain,
% 24.51/16.24 (((~v120(constB57)) | v118(constB57)) <=> (v118(constB57) | (~v120(constB57)))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9412,plain,
% 24.51/16.24 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB57)) | v118(constB57))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB57) | (~v120(constB57))))),
% 24.51/16.24 inference(monotonicity,[status(thm)],[9411])).
% 24.51/16.24 tff(9413,plain,
% 24.51/16.24 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB57)) | v118(constB57))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB57) | (~v120(constB57)))),
% 24.51/16.24 inference(transitivity,[status(thm)],[9412, 9410])).
% 24.51/16.24 tff(9414,plain,
% 24.51/16.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB57)) | v118(constB57))),
% 24.51/16.24 inference(quant_inst,[status(thm)],[])).
% 24.51/16.24 tff(9415,plain,
% 24.51/16.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB57) | (~v120(constB57))),
% 24.51/16.24 inference(modus_ponens,[status(thm)],[9414, 9413])).
% 24.51/16.24 tff(9416,plain,
% 24.51/16.24 (v118(constB57)),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9415, 2210, 9409])).
% 24.51/16.24 tff(9417,plain,
% 24.51/16.24 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB57) | (~v118(constB57)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB57) | (~v118(constB57)))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9418,plain,
% 24.51/16.24 (((~v118(constB57)) | v117(constB57)) <=> (v117(constB57) | (~v118(constB57)))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9419,plain,
% 24.51/16.24 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB57)) | v117(constB57))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB57) | (~v118(constB57))))),
% 24.51/16.24 inference(monotonicity,[status(thm)],[9418])).
% 24.51/16.24 tff(9420,plain,
% 24.51/16.24 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB57)) | v117(constB57))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB57) | (~v118(constB57)))),
% 24.51/16.24 inference(transitivity,[status(thm)],[9419, 9417])).
% 24.51/16.24 tff(9421,plain,
% 24.51/16.24 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB57)) | v117(constB57))),
% 24.51/16.24 inference(quant_inst,[status(thm)],[])).
% 24.51/16.24 tff(9422,plain,
% 24.51/16.24 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB57) | (~v118(constB57))),
% 24.51/16.24 inference(modus_ponens,[status(thm)],[9421, 9420])).
% 24.51/16.24 tff(9423,plain,
% 24.51/16.24 (v117(constB57)),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9422, 980, 9416])).
% 24.51/16.24 tff(9424,plain,
% 24.51/16.24 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB57)) | v116(constB57))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB57)) | v116(constB57))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9425,plain,
% 24.51/16.24 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB57)) | v116(constB57))),
% 24.51/16.24 inference(quant_inst,[status(thm)],[])).
% 24.51/16.24 tff(9426,plain,
% 24.51/16.24 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB57)) | v116(constB57)),
% 24.51/16.24 inference(modus_ponens,[status(thm)],[9425, 9424])).
% 24.51/16.24 tff(9427,plain,
% 24.51/16.24 (v116(constB57)),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9426, 994, 9423])).
% 24.51/16.24 tff(9428,plain,
% 24.51/16.24 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB57)) | v115(constB57))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB57)) | v115(constB57))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9429,plain,
% 24.51/16.24 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB57)) | v115(constB57))),
% 24.51/16.24 inference(quant_inst,[status(thm)],[])).
% 24.51/16.24 tff(9430,plain,
% 24.51/16.24 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB57)) | v115(constB57)),
% 24.51/16.24 inference(modus_ponens,[status(thm)],[9429, 9428])).
% 24.51/16.24 tff(9431,plain,
% 24.51/16.24 (v115(constB57)),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9430, 1008, 9427])).
% 24.51/16.24 tff(9432,plain,
% 24.51/16.24 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB57)) | v114(constB57))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB57)) | v114(constB57))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9433,plain,
% 24.51/16.24 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB57)) | v114(constB57))),
% 24.51/16.24 inference(quant_inst,[status(thm)],[])).
% 24.51/16.24 tff(9434,plain,
% 24.51/16.24 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB57)) | v114(constB57)),
% 24.51/16.24 inference(modus_ponens,[status(thm)],[9433, 9432])).
% 24.51/16.24 tff(9435,plain,
% 24.51/16.24 (v114(constB57)),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9434, 1022, 9431])).
% 24.51/16.24 tff(9436,plain,
% 24.51/16.24 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB57) | (~v114(constB57)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB57) | (~v114(constB57)))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9437,plain,
% 24.51/16.24 (((~v114(constB57)) | v113(constB57)) <=> (v113(constB57) | (~v114(constB57)))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9438,plain,
% 24.51/16.24 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB57)) | v113(constB57))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB57) | (~v114(constB57))))),
% 24.51/16.24 inference(monotonicity,[status(thm)],[9437])).
% 24.51/16.24 tff(9439,plain,
% 24.51/16.24 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB57)) | v113(constB57))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB57) | (~v114(constB57)))),
% 24.51/16.24 inference(transitivity,[status(thm)],[9438, 9436])).
% 24.51/16.24 tff(9440,plain,
% 24.51/16.24 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB57)) | v113(constB57))),
% 24.51/16.24 inference(quant_inst,[status(thm)],[])).
% 24.51/16.24 tff(9441,plain,
% 24.51/16.24 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB57) | (~v114(constB57))),
% 24.51/16.24 inference(modus_ponens,[status(thm)],[9440, 9439])).
% 24.51/16.24 tff(9442,plain,
% 24.51/16.24 (v113(constB57)),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9441, 1036, 9435])).
% 24.51/16.24 tff(9443,assumption,(v26(constB57)), introduced(assumption)).
% 24.51/16.24 tff(9444,plain,
% 24.51/16.24 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB57))),
% 24.51/16.24 inference(quant_inst,[status(thm)],[])).
% 24.51/16.24 tff(9445,plain,
% 24.51/16.24 ($false),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9444, 797, 9443])).
% 24.51/16.24 tff(9446,plain,(~v26(constB57)), inference(lemma,lemma(discharge,[]))).
% 24.51/16.24 tff(9447,plain,
% 24.51/16.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | (~v113(constB57)) | v112(constB57))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9448,plain,
% 24.51/16.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))),
% 24.51/16.24 inference(quant_inst,[status(thm)],[])).
% 24.51/16.24 tff(9449,plain,
% 24.51/16.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | (~v113(constB57)) | v112(constB57)),
% 24.51/16.24 inference(modus_ponens,[status(thm)],[9448, 9447])).
% 24.51/16.24 tff(9450,plain,
% 24.51/16.24 ((~v113(constB57)) | v112(constB57)),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9449, 1050, 9446])).
% 24.51/16.24 tff(9451,plain,
% 24.51/16.24 (v112(constB57)),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9450, 9442])).
% 24.51/16.24 tff(9452,plain,
% 24.51/16.24 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB57) | (~v112(constB57)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v112(constB57)))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9453,plain,
% 24.51/16.24 (((~v112(constB57)) | v108(constB57)) <=> (v108(constB57) | (~v112(constB57)))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9454,plain,
% 24.51/16.24 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB57)) | v108(constB57))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB57) | (~v112(constB57))))),
% 24.51/16.24 inference(monotonicity,[status(thm)],[9453])).
% 24.51/16.24 tff(9455,plain,
% 24.51/16.24 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB57)) | v108(constB57))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v112(constB57)))),
% 24.51/16.24 inference(transitivity,[status(thm)],[9454, 9452])).
% 24.51/16.24 tff(9456,plain,
% 24.51/16.24 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB57)) | v108(constB57))),
% 24.51/16.24 inference(quant_inst,[status(thm)],[])).
% 24.51/16.24 tff(9457,plain,
% 24.51/16.24 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v112(constB57))),
% 24.51/16.24 inference(modus_ponens,[status(thm)],[9456, 9455])).
% 24.51/16.24 tff(9458,plain,
% 24.51/16.24 (v108(constB57)),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9457, 1062, 9451])).
% 24.51/16.24 tff(9459,plain,
% 24.51/16.24 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9460,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_57_1')).
% 24.51/16.24 tff(9461,plain,
% 24.51/16.24 (nextState(constB57, constB58)),
% 24.51/16.24 inference(modus_ponens,[status(thm)],[9460, 9459])).
% 24.51/16.24 tff(9462,plain,
% 24.51/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9463,plain,
% 24.51/16.24 (((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58)) <=> ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9464,plain,
% 24.51/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57))))),
% 24.51/16.24 inference(monotonicity,[status(thm)],[9463])).
% 24.51/16.24 tff(9465,plain,
% 24.51/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 24.51/16.24 inference(transitivity,[status(thm)],[9464, 9462])).
% 24.51/16.24 tff(9466,plain,
% 24.51/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))),
% 24.51/16.24 inference(quant_inst,[status(thm)],[])).
% 24.51/16.24 tff(9467,plain,
% 24.51/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57))),
% 24.51/16.24 inference(modus_ponens,[status(thm)],[9466, 9465])).
% 24.51/16.24 tff(9468,plain,
% 24.51/16.24 (v110(constB58) | (~v108(constB57))),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9467, 1082, 9461])).
% 24.51/16.24 tff(9469,plain,
% 24.51/16.24 (v110(constB58)),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9468, 9458])).
% 24.51/16.24 tff(9470,plain,
% 24.51/16.24 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9471,plain,
% 24.51/16.24 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))),
% 24.51/16.24 inference(quant_inst,[status(thm)],[])).
% 24.51/16.24 tff(9472,plain,
% 24.51/16.24 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58))),
% 24.51/16.24 inference(modus_ponens,[status(thm)],[9471, 9470])).
% 24.51/16.24 tff(9473,plain,
% 24.51/16.24 (~v104(constB58)),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9472, 1100, 9461, 9316])).
% 24.51/16.24 tff(9474,plain,
% 24.51/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9475,plain,
% 24.51/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))),
% 24.51/16.24 inference(quant_inst,[status(thm)],[])).
% 24.51/16.24 tff(9476,plain,
% 24.51/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v102(constB58) | v104(constB58)),
% 24.51/16.24 inference(modus_ponens,[status(thm)],[9475, 9474])).
% 24.51/16.24 tff(9477,plain,
% 24.51/16.24 (v102(constB58) | v104(constB58)),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9476, 1114, 9461])).
% 24.51/16.24 tff(9478,plain,
% 24.51/16.24 (v102(constB58)),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9477, 9473])).
% 24.51/16.24 tff(9479,plain,
% 24.51/16.24 (v1(constB58) <=> v1(constB58)),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9480,axiom,(v1(constB58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_58_1')).
% 24.51/16.24 tff(9481,plain,
% 24.51/16.24 (v1(constB58)),
% 24.51/16.24 inference(modus_ponens,[status(thm)],[9480, 9479])).
% 24.51/16.24 tff(9482,plain,
% 24.51/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9483,plain,
% 24.51/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))),
% 24.51/16.24 inference(quant_inst,[status(thm)],[])).
% 24.51/16.24 tff(9484,plain,
% 24.51/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58))),
% 24.51/16.24 inference(modus_ponens,[status(thm)],[9483, 9482])).
% 24.51/16.24 tff(9485,plain,
% 24.51/16.24 (v101(constB58) | (~v102(constB58))),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9484, 1129, 9461, 9481])).
% 24.51/16.24 tff(9486,plain,
% 24.51/16.24 (v101(constB58)),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9485, 9478])).
% 24.51/16.24 tff(9487,plain,
% 24.51/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9488,plain,
% 24.51/16.24 (((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58)) <=> ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 24.51/16.24 inference(rewrite,[status(thm)],[])).
% 24.51/16.24 tff(9489,plain,
% 24.51/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58))))),
% 24.51/16.24 inference(monotonicity,[status(thm)],[9488])).
% 24.51/16.24 tff(9490,plain,
% 24.51/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 24.51/16.24 inference(transitivity,[status(thm)],[9489, 9487])).
% 24.51/16.24 tff(9491,plain,
% 24.51/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))),
% 24.51/16.24 inference(quant_inst,[status(thm)],[])).
% 24.51/16.24 tff(9492,plain,
% 24.51/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 24.51/16.24 inference(modus_ponens,[status(thm)],[9491, 9490])).
% 24.51/16.24 tff(9493,plain,
% 24.51/16.24 (v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 24.51/16.24 inference(unit_resolution,[status(thm)],[9492, 1144, 9461])).
% 24.51/16.24 tff(9494,plain,
% 24.53/16.24 (v100(constB58) | (~v110(constB58))),
% 24.53/16.24 inference(unit_resolution,[status(thm)],[9493, 9486])).
% 24.53/16.24 tff(9495,plain,
% 24.53/16.24 (v100(constB58)),
% 24.53/16.24 inference(unit_resolution,[status(thm)],[9494, 9469])).
% 24.53/16.24 tff(9496,plain,
% 24.53/16.24 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB57)) | (~v130(constB57, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB57)) | (~v130(constB57, bitIndex2)))),
% 24.53/16.24 inference(rewrite,[status(thm)],[])).
% 24.53/16.24 tff(9497,plain,
% 24.53/16.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB57)) | (~v130(constB57, bitIndex2)))),
% 24.53/16.24 inference(quant_inst,[status(thm)],[])).
% 24.53/16.24 tff(9498,plain,
% 24.53/16.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB57)) | (~v130(constB57, bitIndex2))),
% 24.53/16.24 inference(modus_ponens,[status(thm)],[9497, 9496])).
% 24.53/16.24 tff(9499,plain,
% 24.53/16.24 (~v130(constB57, bitIndex2)),
% 24.53/16.24 inference(unit_resolution,[status(thm)],[9498, 2231, 9409])).
% 24.53/16.24 tff(9500,plain,
% 24.53/16.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2))),
% 24.53/16.24 inference(rewrite,[status(thm)],[])).
% 24.53/16.24 tff(9501,plain,
% 24.53/16.24 ((v26(constB57) | v130(constB57, bitIndex2) | (~v127(constB57, bitIndex2))) <=> ((~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2))),
% 24.53/16.24 inference(rewrite,[status(thm)],[])).
% 24.53/16.24 tff(9502,plain,
% 24.53/16.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB57) | v130(constB57, bitIndex2) | (~v127(constB57, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2)))),
% 24.53/16.24 inference(monotonicity,[status(thm)],[9501])).
% 24.53/16.24 tff(9503,plain,
% 24.53/16.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB57) | v130(constB57, bitIndex2) | (~v127(constB57, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2))),
% 24.53/16.24 inference(transitivity,[status(thm)],[9502, 9500])).
% 24.53/16.24 tff(9504,plain,
% 24.53/16.24 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB57) | v130(constB57, bitIndex2) | (~v127(constB57, bitIndex2)))),
% 24.53/16.24 inference(quant_inst,[status(thm)],[])).
% 24.53/16.24 tff(9505,plain,
% 24.53/16.24 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2)),
% 24.53/16.24 inference(modus_ponens,[status(thm)],[9504, 9503])).
% 24.53/16.24 tff(9506,plain,
% 24.53/16.24 ((~v127(constB57, bitIndex2)) | v130(constB57, bitIndex2)),
% 24.53/16.24 inference(unit_resolution,[status(thm)],[9505, 1812, 9446])).
% 24.53/16.24 tff(9507,plain,
% 24.53/16.24 (~v127(constB57, bitIndex2)),
% 24.53/16.24 inference(unit_resolution,[status(thm)],[9506, 9499])).
% 24.53/16.24 tff(9508,plain,
% 24.53/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex2) | (~v129(constB58, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex2) | (~v129(constB58, bitIndex2)))),
% 24.53/16.24 inference(rewrite,[status(thm)],[])).
% 24.53/16.24 tff(9509,plain,
% 24.53/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex2) | (~v129(constB58, bitIndex2)))),
% 24.53/16.25 inference(quant_inst,[status(thm)],[])).
% 24.53/16.25 tff(9510,plain,
% 24.53/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex2) | (~v129(constB58, bitIndex2))),
% 24.53/16.25 inference(modus_ponens,[status(thm)],[9509, 9508])).
% 24.53/16.25 tff(9511,plain,
% 24.53/16.25 (v127(constB57, bitIndex2) | (~v129(constB58, bitIndex2))),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9510, 1830, 9461])).
% 24.53/16.25 tff(9512,plain,
% 24.53/16.25 (~v129(constB58, bitIndex2)),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9511, 9507])).
% 24.53/16.25 tff(9513,plain,
% 24.53/16.25 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2) | (~v100(constB58)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2) | (~v100(constB58)))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9514,plain,
% 24.53/16.25 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2) | (~v100(constB58)))),
% 24.53/16.25 inference(quant_inst,[status(thm)],[])).
% 24.53/16.25 tff(9515,plain,
% 24.53/16.25 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2) | (~v100(constB58))),
% 24.53/16.25 inference(modus_ponens,[status(thm)],[9514, 9513])).
% 24.53/16.25 tff(9516,plain,
% 24.53/16.25 ((~v90(constB58, bitIndex2)) | (~v100(constB58))),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9515, 1845, 9512])).
% 24.53/16.25 tff(9517,plain,
% 24.53/16.25 (~v90(constB58, bitIndex2)),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9516, 9495])).
% 24.53/16.25 tff(9518,plain,
% 24.53/16.25 ((~v1(constB59)) <=> (~v1(constB59))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9519,axiom,(~v1(constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_59_1_1')).
% 24.53/16.25 tff(9520,plain,
% 24.53/16.25 (~v1(constB59)),
% 24.53/16.25 inference(modus_ponens,[status(thm)],[9519, 9518])).
% 24.53/16.25 tff(9521,plain,
% 24.53/16.25 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9522,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_58_1')).
% 24.53/16.25 tff(9523,plain,
% 24.53/16.25 (nextState(constB58, constB59)),
% 24.53/16.25 inference(modus_ponens,[status(thm)],[9522, 9521])).
% 24.53/16.25 tff(9524,plain,
% 24.53/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9525,plain,
% 24.53/16.25 (((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59)) <=> (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9526,plain,
% 24.53/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59))))),
% 24.53/16.25 inference(monotonicity,[status(thm)],[9525])).
% 24.53/16.25 tff(9527,plain,
% 24.53/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 24.53/16.25 inference(transitivity,[status(thm)],[9526, 9524])).
% 24.53/16.25 tff(9528,plain,
% 24.53/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))),
% 24.53/16.25 inference(quant_inst,[status(thm)],[])).
% 24.53/16.25 tff(9529,plain,
% 24.53/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59))),
% 24.53/16.25 inference(modus_ponens,[status(thm)],[9528, 9527])).
% 24.53/16.25 tff(9530,plain,
% 24.53/16.25 (~v101(constB59)),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9529, 860, 9523, 9520])).
% 24.53/16.25 tff(9531,plain,
% 24.53/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9532,plain,
% 24.53/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))),
% 24.53/16.25 inference(quant_inst,[status(thm)],[])).
% 24.53/16.25 tff(9533,plain,
% 24.53/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59))),
% 24.53/16.25 inference(modus_ponens,[status(thm)],[9532, 9531])).
% 24.53/16.25 tff(9534,plain,
% 24.53/16.25 (v101(constB59) | (~v100(constB59))),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9533, 877, 9523])).
% 24.53/16.25 tff(9535,plain,
% 24.53/16.25 (~v100(constB59)),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9534, 9530])).
% 24.53/16.25 tff(9536,plain,
% 24.53/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2)))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9537,plain,
% 24.53/16.25 (((~nextState(constB58, constB59)) | v90(constB58, bitIndex2) | v100(constB59) | (~v90(constB59, bitIndex2))) <=> (v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2)))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9538,plain,
% 24.53/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex2) | v100(constB59) | (~v90(constB59, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2))))),
% 24.53/16.25 inference(monotonicity,[status(thm)],[9537])).
% 24.53/16.25 tff(9539,plain,
% 24.53/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex2) | v100(constB59) | (~v90(constB59, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2)))),
% 24.53/16.25 inference(transitivity,[status(thm)],[9538, 9536])).
% 24.53/16.25 tff(9540,plain,
% 24.53/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex2) | v100(constB59) | (~v90(constB59, bitIndex2)))),
% 24.53/16.25 inference(quant_inst,[status(thm)],[])).
% 24.53/16.25 tff(9541,plain,
% 24.53/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2))),
% 24.53/16.25 inference(modus_ponens,[status(thm)],[9540, 9539])).
% 24.53/16.25 tff(9542,plain,
% 24.53/16.25 (v90(constB58, bitIndex2) | v100(constB59) | (~v90(constB59, bitIndex2))),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9541, 892, 9523])).
% 24.53/16.25 tff(9543,plain,
% 24.53/16.25 (v90(constB58, bitIndex2) | (~v90(constB59, bitIndex2))),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9542, 9535])).
% 24.53/16.25 tff(9544,plain,
% 24.53/16.25 (~v90(constB59, bitIndex2)),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9543, 9517])).
% 24.53/16.25 tff(9545,plain,
% 24.53/16.25 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB57)) | v130(constB57, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB57)) | v130(constB57, bitIndex1))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9546,plain,
% 24.53/16.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB57)) | v130(constB57, bitIndex1))),
% 24.53/16.25 inference(quant_inst,[status(thm)],[])).
% 24.53/16.25 tff(9547,plain,
% 24.53/16.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB57)) | v130(constB57, bitIndex1)),
% 24.53/16.25 inference(modus_ponens,[status(thm)],[9546, 9545])).
% 24.53/16.25 tff(9548,plain,
% 24.53/16.25 (v130(constB57, bitIndex1)),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9547, 2034, 9409])).
% 24.53/16.25 tff(9549,plain,
% 24.53/16.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB57) | (~v130(constB57, bitIndex1)) | v127(constB57, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB57) | (~v130(constB57, bitIndex1)) | v127(constB57, bitIndex1))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9550,plain,
% 24.53/16.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB57) | (~v130(constB57, bitIndex1)) | v127(constB57, bitIndex1))),
% 24.53/16.25 inference(quant_inst,[status(thm)],[])).
% 24.53/16.25 tff(9551,plain,
% 24.53/16.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB57) | (~v130(constB57, bitIndex1)) | v127(constB57, bitIndex1)),
% 24.53/16.25 inference(modus_ponens,[status(thm)],[9550, 9549])).
% 24.53/16.25 tff(9552,plain,
% 24.53/16.25 ((~v130(constB57, bitIndex1)) | v127(constB57, bitIndex1)),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9551, 1553, 9446])).
% 24.53/16.25 tff(9553,plain,
% 24.53/16.25 (v127(constB57, bitIndex1)),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9552, 9548])).
% 24.53/16.25 tff(9554,plain,
% 24.53/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex1)) | v129(constB58, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex1)) | v129(constB58, bitIndex1))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9555,plain,
% 24.53/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex1)) | v129(constB58, bitIndex1))),
% 24.53/16.25 inference(quant_inst,[status(thm)],[])).
% 24.53/16.25 tff(9556,plain,
% 24.53/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex1)) | v129(constB58, bitIndex1)),
% 24.53/16.25 inference(modus_ponens,[status(thm)],[9555, 9554])).
% 24.53/16.25 tff(9557,plain,
% 24.53/16.25 ((~v127(constB57, bitIndex1)) | v129(constB58, bitIndex1)),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9556, 1568, 9461])).
% 24.53/16.25 tff(9558,plain,
% 24.53/16.25 (v129(constB58, bitIndex1)),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9557, 9553])).
% 24.53/16.25 tff(9559,plain,
% 24.53/16.25 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58)))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9560,plain,
% 24.53/16.25 ((v90(constB58, bitIndex1) | (~v100(constB58)) | (~v129(constB58, bitIndex1))) <=> (v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58)))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9561,plain,
% 24.53/16.25 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~v100(constB58)) | (~v129(constB58, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58))))),
% 24.53/16.25 inference(monotonicity,[status(thm)],[9560])).
% 24.53/16.25 tff(9562,plain,
% 24.53/16.25 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~v100(constB58)) | (~v129(constB58, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58)))),
% 24.53/16.25 inference(transitivity,[status(thm)],[9561, 9559])).
% 24.53/16.25 tff(9563,plain,
% 24.53/16.25 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~v100(constB58)) | (~v129(constB58, bitIndex1)))),
% 24.53/16.25 inference(quant_inst,[status(thm)],[])).
% 24.53/16.25 tff(9564,plain,
% 24.53/16.25 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58))),
% 24.53/16.25 inference(modus_ponens,[status(thm)],[9563, 9562])).
% 24.53/16.25 tff(9565,plain,
% 24.53/16.25 (v90(constB58, bitIndex1) | (~v100(constB58))),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9564, 1583, 9558])).
% 24.53/16.25 tff(9566,plain,
% 24.53/16.25 (v90(constB58, bitIndex1)),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9565, 9495])).
% 24.53/16.25 tff(9567,plain,
% 24.53/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex1))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9568,plain,
% 24.53/16.25 (((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex1)) | v100(constB59) | v90(constB59, bitIndex1)) <=> ((~v90(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex1))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9569,plain,
% 24.53/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex1)) | v100(constB59) | v90(constB59, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex1)))),
% 24.53/16.25 inference(monotonicity,[status(thm)],[9568])).
% 24.53/16.25 tff(9570,plain,
% 24.53/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex1)) | v100(constB59) | v90(constB59, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex1))),
% 24.53/16.25 inference(transitivity,[status(thm)],[9569, 9567])).
% 24.53/16.25 tff(9571,plain,
% 24.53/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex1)) | v100(constB59) | v90(constB59, bitIndex1))),
% 24.53/16.25 inference(quant_inst,[status(thm)],[])).
% 24.53/16.25 tff(9572,plain,
% 24.53/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex1)),
% 24.53/16.25 inference(modus_ponens,[status(thm)],[9571, 9570])).
% 24.53/16.25 tff(9573,plain,
% 24.53/16.25 ((~v90(constB58, bitIndex1)) | v100(constB59) | v90(constB59, bitIndex1)),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9572, 1601, 9523])).
% 24.53/16.25 tff(9574,plain,
% 24.53/16.25 ((~v90(constB58, bitIndex1)) | v90(constB59, bitIndex1)),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9573, 9535])).
% 24.53/16.25 tff(9575,plain,
% 24.53/16.25 (v90(constB59, bitIndex1)),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9574, 9566])).
% 24.53/16.25 tff(9576,plain,
% 24.53/16.25 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB57)) | (~v130(constB57, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB57)) | (~v130(constB57, bitIndex0)))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9577,plain,
% 24.53/16.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB57)) | (~v130(constB57, bitIndex0)))),
% 24.53/16.25 inference(quant_inst,[status(thm)],[])).
% 24.53/16.25 tff(9578,plain,
% 24.53/16.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB57)) | (~v130(constB57, bitIndex0))),
% 24.53/16.25 inference(modus_ponens,[status(thm)],[9577, 9576])).
% 24.53/16.25 tff(9579,plain,
% 24.53/16.25 (~v130(constB57, bitIndex0)),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9578, 2023, 9409])).
% 24.53/16.25 tff(9580,plain,
% 24.53/16.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB57, bitIndex0)) | v26(constB57) | v130(constB57, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB57, bitIndex0)) | v26(constB57) | v130(constB57, bitIndex0))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9581,plain,
% 24.53/16.25 ((v26(constB57) | v130(constB57, bitIndex0) | (~v127(constB57, bitIndex0))) <=> ((~v127(constB57, bitIndex0)) | v26(constB57) | v130(constB57, bitIndex0))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9582,plain,
% 24.53/16.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB57) | v130(constB57, bitIndex0) | (~v127(constB57, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB57, bitIndex0)) | v26(constB57) | v130(constB57, bitIndex0)))),
% 24.53/16.25 inference(monotonicity,[status(thm)],[9581])).
% 24.53/16.25 tff(9583,plain,
% 24.53/16.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB57) | v130(constB57, bitIndex0) | (~v127(constB57, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB57, bitIndex0)) | v26(constB57) | v130(constB57, bitIndex0))),
% 24.53/16.25 inference(transitivity,[status(thm)],[9582, 9580])).
% 24.53/16.25 tff(9584,plain,
% 24.53/16.25 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB57) | v130(constB57, bitIndex0) | (~v127(constB57, bitIndex0)))),
% 24.53/16.25 inference(quant_inst,[status(thm)],[])).
% 24.53/16.25 tff(9585,plain,
% 24.53/16.25 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB57, bitIndex0)) | v26(constB57) | v130(constB57, bitIndex0)),
% 24.53/16.25 inference(modus_ponens,[status(thm)],[9584, 9583])).
% 24.53/16.25 tff(9586,plain,
% 24.53/16.25 ((~v127(constB57, bitIndex0)) | v130(constB57, bitIndex0)),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9585, 1341, 9446])).
% 24.53/16.25 tff(9587,plain,
% 24.53/16.25 (~v127(constB57, bitIndex0)),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9586, 9579])).
% 24.53/16.25 tff(9588,plain,
% 24.53/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex0) | (~v129(constB58, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex0) | (~v129(constB58, bitIndex0)))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9589,plain,
% 24.53/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex0) | (~v129(constB58, bitIndex0)))),
% 24.53/16.25 inference(quant_inst,[status(thm)],[])).
% 24.53/16.25 tff(9590,plain,
% 24.53/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex0) | (~v129(constB58, bitIndex0))),
% 24.53/16.25 inference(modus_ponens,[status(thm)],[9589, 9588])).
% 24.53/16.25 tff(9591,plain,
% 24.53/16.25 (v127(constB57, bitIndex0) | (~v129(constB58, bitIndex0))),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9590, 1359, 9461])).
% 24.53/16.25 tff(9592,plain,
% 24.53/16.25 (~v129(constB58, bitIndex0)),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9591, 9587])).
% 24.53/16.25 tff(9593,plain,
% 24.53/16.25 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB58, bitIndex0)) | v129(constB58, bitIndex0) | (~v100(constB58)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB58, bitIndex0)) | v129(constB58, bitIndex0) | (~v100(constB58)))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9594,plain,
% 24.53/16.25 (((~v90(constB58, bitIndex0)) | (~v100(constB58)) | v129(constB58, bitIndex0)) <=> ((~v90(constB58, bitIndex0)) | v129(constB58, bitIndex0) | (~v100(constB58)))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9595,plain,
% 24.53/16.25 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB58, bitIndex0)) | (~v100(constB58)) | v129(constB58, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB58, bitIndex0)) | v129(constB58, bitIndex0) | (~v100(constB58))))),
% 24.53/16.25 inference(monotonicity,[status(thm)],[9594])).
% 24.53/16.25 tff(9596,plain,
% 24.53/16.25 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB58, bitIndex0)) | (~v100(constB58)) | v129(constB58, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB58, bitIndex0)) | v129(constB58, bitIndex0) | (~v100(constB58)))),
% 24.53/16.25 inference(transitivity,[status(thm)],[9595, 9593])).
% 24.53/16.25 tff(9597,plain,
% 24.53/16.25 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB58, bitIndex0)) | (~v100(constB58)) | v129(constB58, bitIndex0))),
% 24.53/16.25 inference(quant_inst,[status(thm)],[])).
% 24.53/16.25 tff(9598,plain,
% 24.53/16.25 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB58, bitIndex0)) | v129(constB58, bitIndex0) | (~v100(constB58))),
% 24.53/16.25 inference(modus_ponens,[status(thm)],[9597, 9596])).
% 24.53/16.25 tff(9599,plain,
% 24.53/16.25 ((~v90(constB58, bitIndex0)) | (~v100(constB58))),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9598, 1374, 9592])).
% 24.53/16.25 tff(9600,plain,
% 24.53/16.25 (~v90(constB58, bitIndex0)),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9599, 9495])).
% 24.53/16.25 tff(9601,plain,
% 24.53/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex0)))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9602,plain,
% 24.53/16.25 (((~nextState(constB58, constB59)) | v90(constB58, bitIndex0) | v100(constB59) | (~v90(constB59, bitIndex0))) <=> (v90(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex0)))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9603,plain,
% 24.53/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex0) | v100(constB59) | (~v90(constB59, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex0))))),
% 24.53/16.25 inference(monotonicity,[status(thm)],[9602])).
% 24.53/16.25 tff(9604,plain,
% 24.53/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex0) | v100(constB59) | (~v90(constB59, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex0)))),
% 24.53/16.25 inference(transitivity,[status(thm)],[9603, 9601])).
% 24.53/16.25 tff(9605,plain,
% 24.53/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex0) | v100(constB59) | (~v90(constB59, bitIndex0)))),
% 24.53/16.25 inference(quant_inst,[status(thm)],[])).
% 24.53/16.25 tff(9606,plain,
% 24.53/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex0))),
% 24.53/16.25 inference(modus_ponens,[status(thm)],[9605, 9604])).
% 24.53/16.25 tff(9607,plain,
% 24.53/16.25 (v90(constB58, bitIndex0) | v100(constB59) | (~v90(constB59, bitIndex0))),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9606, 934, 9523])).
% 24.53/16.25 tff(9608,plain,
% 24.53/16.25 (v90(constB58, bitIndex0) | (~v90(constB59, bitIndex0))),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9607, 9535])).
% 24.53/16.25 tff(9609,plain,
% 24.53/16.25 (~v90(constB59, bitIndex0)),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9608, 9600])).
% 24.53/16.25 tff(9610,plain,
% 24.53/16.25 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex2) | v121(constB59))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex2) | v121(constB59))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9611,plain,
% 24.53/16.25 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex2) | v121(constB59))),
% 24.53/16.25 inference(quant_inst,[status(thm)],[])).
% 24.53/16.25 tff(9612,plain,
% 24.53/16.25 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex2) | v121(constB59)),
% 24.53/16.25 inference(modus_ponens,[status(thm)],[9611, 9610])).
% 24.53/16.25 tff(9613,plain,
% 24.53/16.25 (v121(constB59)),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9612, 2145, 9609, 9575, 9544])).
% 24.53/16.25 tff(9614,plain,
% 24.53/16.25 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB59)) | v117(constB59))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB59)) | v117(constB59))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9615,plain,
% 24.53/16.25 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB59)) | v117(constB59))),
% 24.53/16.25 inference(quant_inst,[status(thm)],[])).
% 24.53/16.25 tff(9616,plain,
% 24.53/16.25 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB59)) | v117(constB59)),
% 24.53/16.25 inference(modus_ponens,[status(thm)],[9615, 9614])).
% 24.53/16.25 tff(9617,plain,
% 24.53/16.25 (v117(constB59)),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9616, 2102, 9613])).
% 24.53/16.25 tff(9618,plain,
% 24.53/16.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB59) | (~v117(constB59)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB59) | (~v117(constB59)))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9619,plain,
% 24.53/16.25 (((~v117(constB59)) | v116(constB59)) <=> (v116(constB59) | (~v117(constB59)))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9620,plain,
% 24.53/16.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB59)) | v116(constB59))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB59) | (~v117(constB59))))),
% 24.53/16.25 inference(monotonicity,[status(thm)],[9619])).
% 24.53/16.25 tff(9621,plain,
% 24.53/16.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB59)) | v116(constB59))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB59) | (~v117(constB59)))),
% 24.53/16.25 inference(transitivity,[status(thm)],[9620, 9618])).
% 24.53/16.25 tff(9622,plain,
% 24.53/16.25 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB59)) | v116(constB59))),
% 24.53/16.25 inference(quant_inst,[status(thm)],[])).
% 24.53/16.25 tff(9623,plain,
% 24.53/16.25 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB59) | (~v117(constB59))),
% 24.53/16.25 inference(modus_ponens,[status(thm)],[9622, 9621])).
% 24.53/16.25 tff(9624,plain,
% 24.53/16.25 (v116(constB59)),
% 24.53/16.25 inference(unit_resolution,[status(thm)],[9623, 994, 9617])).
% 24.53/16.25 tff(9625,plain,
% 24.53/16.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB59) | (~v116(constB59)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB59) | (~v116(constB59)))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9626,plain,
% 24.53/16.25 (((~v116(constB59)) | v115(constB59)) <=> (v115(constB59) | (~v116(constB59)))),
% 24.53/16.25 inference(rewrite,[status(thm)],[])).
% 24.53/16.25 tff(9627,plain,
% 24.53/16.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB59)) | v115(constB59))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB59) | (~v116(constB59))))),
% 24.53/16.25 inference(monotonicity,[status(thm)],[9626])).
% 24.53/16.25 tff(9628,plain,
% 24.53/16.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB59)) | v115(constB59))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB59) | (~v116(constB59)))),
% 24.53/16.25 inference(transitivity,[status(thm)],[9627, 9625])).
% 24.53/16.25 tff(9629,plain,
% 24.53/16.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB59)) | v115(constB59))),
% 24.53/16.25 inference(quant_inst,[status(thm)],[])).
% 24.53/16.25 tff(9630,plain,
% 24.53/16.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB59) | (~v116(constB59))),
% 24.53/16.26 inference(modus_ponens,[status(thm)],[9629, 9628])).
% 24.53/16.26 tff(9631,plain,
% 24.53/16.26 (v115(constB59)),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9630, 1008, 9624])).
% 24.53/16.26 tff(9632,plain,
% 24.53/16.26 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB59) | (~v115(constB59)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB59) | (~v115(constB59)))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9633,plain,
% 24.53/16.26 (((~v115(constB59)) | v114(constB59)) <=> (v114(constB59) | (~v115(constB59)))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9634,plain,
% 24.53/16.26 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB59)) | v114(constB59))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB59) | (~v115(constB59))))),
% 24.53/16.26 inference(monotonicity,[status(thm)],[9633])).
% 24.53/16.26 tff(9635,plain,
% 24.53/16.26 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB59)) | v114(constB59))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB59) | (~v115(constB59)))),
% 24.53/16.26 inference(transitivity,[status(thm)],[9634, 9632])).
% 24.53/16.26 tff(9636,plain,
% 24.53/16.26 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB59)) | v114(constB59))),
% 24.53/16.26 inference(quant_inst,[status(thm)],[])).
% 24.53/16.26 tff(9637,plain,
% 24.53/16.26 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB59) | (~v115(constB59))),
% 24.53/16.26 inference(modus_ponens,[status(thm)],[9636, 9635])).
% 24.53/16.26 tff(9638,plain,
% 24.53/16.26 (v114(constB59)),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9637, 1022, 9631])).
% 24.53/16.26 tff(9639,plain,
% 24.53/16.26 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB59) | (~v114(constB59)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB59) | (~v114(constB59)))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9640,plain,
% 24.53/16.26 (((~v114(constB59)) | v113(constB59)) <=> (v113(constB59) | (~v114(constB59)))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9641,plain,
% 24.53/16.26 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB59)) | v113(constB59))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB59) | (~v114(constB59))))),
% 24.53/16.26 inference(monotonicity,[status(thm)],[9640])).
% 24.53/16.26 tff(9642,plain,
% 24.53/16.26 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB59)) | v113(constB59))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB59) | (~v114(constB59)))),
% 24.53/16.26 inference(transitivity,[status(thm)],[9641, 9639])).
% 24.53/16.26 tff(9643,plain,
% 24.53/16.26 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB59)) | v113(constB59))),
% 24.53/16.26 inference(quant_inst,[status(thm)],[])).
% 24.53/16.26 tff(9644,plain,
% 24.53/16.26 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB59) | (~v114(constB59))),
% 24.53/16.26 inference(modus_ponens,[status(thm)],[9643, 9642])).
% 24.53/16.26 tff(9645,plain,
% 24.53/16.26 (v113(constB59)),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9644, 1036, 9638])).
% 24.53/16.26 tff(9646,assumption,(v26(constB59)), introduced(assumption)).
% 24.53/16.26 tff(9647,plain,
% 24.53/16.26 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB59))),
% 24.53/16.26 inference(quant_inst,[status(thm)],[])).
% 24.53/16.26 tff(9648,plain,
% 24.53/16.26 ($false),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9647, 797, 9646])).
% 24.53/16.26 tff(9649,plain,(~v26(constB59)), inference(lemma,lemma(discharge,[]))).
% 24.53/16.26 tff(9650,plain,
% 24.53/16.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | v112(constB59) | (~v113(constB59)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | v112(constB59) | (~v113(constB59)))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9651,plain,
% 24.53/16.26 ((v26(constB59) | (~v113(constB59)) | v112(constB59)) <=> (v26(constB59) | v112(constB59) | (~v113(constB59)))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9652,plain,
% 24.53/16.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | v112(constB59) | (~v113(constB59))))),
% 24.53/16.26 inference(monotonicity,[status(thm)],[9651])).
% 24.53/16.26 tff(9653,plain,
% 24.53/16.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | v112(constB59) | (~v113(constB59)))),
% 24.53/16.26 inference(transitivity,[status(thm)],[9652, 9650])).
% 24.53/16.26 tff(9654,plain,
% 24.53/16.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))),
% 24.53/16.26 inference(quant_inst,[status(thm)],[])).
% 24.53/16.26 tff(9655,plain,
% 24.53/16.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | v112(constB59) | (~v113(constB59))),
% 24.53/16.26 inference(modus_ponens,[status(thm)],[9654, 9653])).
% 24.53/16.26 tff(9656,plain,
% 24.53/16.26 (v112(constB59) | (~v113(constB59))),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9655, 1050, 9649])).
% 24.53/16.26 tff(9657,plain,
% 24.53/16.26 (v112(constB59)),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9656, 9645])).
% 24.53/16.26 tff(9658,plain,
% 24.53/16.26 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB59) | (~v112(constB59)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v112(constB59)))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9659,plain,
% 24.53/16.26 (((~v112(constB59)) | v108(constB59)) <=> (v108(constB59) | (~v112(constB59)))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9660,plain,
% 24.53/16.26 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB59)) | v108(constB59))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB59) | (~v112(constB59))))),
% 24.53/16.26 inference(monotonicity,[status(thm)],[9659])).
% 24.53/16.26 tff(9661,plain,
% 24.53/16.26 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB59)) | v108(constB59))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v112(constB59)))),
% 24.53/16.26 inference(transitivity,[status(thm)],[9660, 9658])).
% 24.53/16.26 tff(9662,plain,
% 24.53/16.26 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB59)) | v108(constB59))),
% 24.53/16.26 inference(quant_inst,[status(thm)],[])).
% 24.53/16.26 tff(9663,plain,
% 24.53/16.26 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v112(constB59))),
% 24.53/16.26 inference(modus_ponens,[status(thm)],[9662, 9661])).
% 24.53/16.26 tff(9664,plain,
% 24.53/16.26 (v108(constB59)),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9663, 1062, 9657])).
% 24.53/16.26 tff(9665,plain,
% 24.53/16.26 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9666,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_59_1')).
% 24.53/16.26 tff(9667,plain,
% 24.53/16.26 (nextState(constB59, constB60)),
% 24.53/16.26 inference(modus_ponens,[status(thm)],[9666, 9665])).
% 24.53/16.26 tff(9668,plain,
% 24.53/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9669,plain,
% 24.53/16.26 (((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60)) <=> ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9670,plain,
% 24.53/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59))))),
% 24.53/16.26 inference(monotonicity,[status(thm)],[9669])).
% 24.53/16.26 tff(9671,plain,
% 24.53/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 24.53/16.26 inference(transitivity,[status(thm)],[9670, 9668])).
% 24.53/16.26 tff(9672,plain,
% 24.53/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))),
% 24.53/16.26 inference(quant_inst,[status(thm)],[])).
% 24.53/16.26 tff(9673,plain,
% 24.53/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59))),
% 24.53/16.26 inference(modus_ponens,[status(thm)],[9672, 9671])).
% 24.53/16.26 tff(9674,plain,
% 24.53/16.26 (v110(constB60) | (~v108(constB59))),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9673, 1082, 9667])).
% 24.53/16.26 tff(9675,plain,
% 24.53/16.26 (v110(constB60)),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9674, 9664])).
% 24.53/16.26 tff(9676,plain,
% 24.53/16.26 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9677,plain,
% 24.53/16.26 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))),
% 24.53/16.26 inference(quant_inst,[status(thm)],[])).
% 24.53/16.26 tff(9678,plain,
% 24.53/16.26 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60))),
% 24.53/16.26 inference(modus_ponens,[status(thm)],[9677, 9676])).
% 24.53/16.26 tff(9679,plain,
% 24.53/16.26 (~v104(constB60)),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9678, 1100, 9667, 9520])).
% 24.53/16.26 tff(9680,plain,
% 24.53/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9681,plain,
% 24.53/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))),
% 24.53/16.26 inference(quant_inst,[status(thm)],[])).
% 24.53/16.26 tff(9682,plain,
% 24.53/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v102(constB60) | v104(constB60)),
% 24.53/16.26 inference(modus_ponens,[status(thm)],[9681, 9680])).
% 24.53/16.26 tff(9683,plain,
% 24.53/16.26 (v102(constB60) | v104(constB60)),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9682, 1114, 9667])).
% 24.53/16.26 tff(9684,plain,
% 24.53/16.26 (v102(constB60)),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9683, 9679])).
% 24.53/16.26 tff(9685,plain,
% 24.53/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9686,plain,
% 24.53/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))),
% 24.53/16.26 inference(quant_inst,[status(thm)],[])).
% 24.53/16.26 tff(9687,plain,
% 24.53/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60))),
% 24.53/16.26 inference(modus_ponens,[status(thm)],[9686, 9685])).
% 24.53/16.26 tff(9688,plain,
% 24.53/16.26 (v101(constB60) | (~v102(constB60))),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9687, 1129, 9667, 647])).
% 24.53/16.26 tff(9689,plain,
% 24.53/16.26 (v101(constB60)),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9688, 9684])).
% 24.53/16.26 tff(9690,plain,
% 24.53/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9691,plain,
% 24.53/16.26 (((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60)) <=> ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9692,plain,
% 24.53/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60))))),
% 24.53/16.26 inference(monotonicity,[status(thm)],[9691])).
% 24.53/16.26 tff(9693,plain,
% 24.53/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 24.53/16.26 inference(transitivity,[status(thm)],[9692, 9690])).
% 24.53/16.26 tff(9694,plain,
% 24.53/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))),
% 24.53/16.26 inference(quant_inst,[status(thm)],[])).
% 24.53/16.26 tff(9695,plain,
% 24.53/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 24.53/16.26 inference(modus_ponens,[status(thm)],[9694, 9693])).
% 24.53/16.26 tff(9696,plain,
% 24.53/16.26 (v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9695, 1144, 9667])).
% 24.53/16.26 tff(9697,plain,
% 24.53/16.26 (v100(constB60) | (~v110(constB60))),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9696, 9689])).
% 24.53/16.26 tff(9698,plain,
% 24.53/16.26 (v100(constB60)),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9697, 9675])).
% 24.53/16.26 tff(9699,plain,
% 24.53/16.26 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB59)) | (~v130(constB59, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB59)) | (~v130(constB59, bitIndex2)))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9700,plain,
% 24.53/16.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB59)) | (~v130(constB59, bitIndex2)))),
% 24.53/16.26 inference(quant_inst,[status(thm)],[])).
% 24.53/16.26 tff(9701,plain,
% 24.53/16.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB59)) | (~v130(constB59, bitIndex2))),
% 24.53/16.26 inference(modus_ponens,[status(thm)],[9700, 9699])).
% 24.53/16.26 tff(9702,plain,
% 24.53/16.26 (~v130(constB59, bitIndex2)),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9701, 2406, 9613])).
% 24.53/16.26 tff(9703,plain,
% 24.53/16.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9704,plain,
% 24.53/16.26 ((v26(constB59) | v130(constB59, bitIndex2) | (~v127(constB59, bitIndex2))) <=> ((~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9705,plain,
% 24.53/16.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB59) | v130(constB59, bitIndex2) | (~v127(constB59, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2)))),
% 24.53/16.26 inference(monotonicity,[status(thm)],[9704])).
% 24.53/16.26 tff(9706,plain,
% 24.53/16.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB59) | v130(constB59, bitIndex2) | (~v127(constB59, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2))),
% 24.53/16.26 inference(transitivity,[status(thm)],[9705, 9703])).
% 24.53/16.26 tff(9707,plain,
% 24.53/16.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB59) | v130(constB59, bitIndex2) | (~v127(constB59, bitIndex2)))),
% 24.53/16.26 inference(quant_inst,[status(thm)],[])).
% 24.53/16.26 tff(9708,plain,
% 24.53/16.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2)),
% 24.53/16.26 inference(modus_ponens,[status(thm)],[9707, 9706])).
% 24.53/16.26 tff(9709,plain,
% 24.53/16.26 ((~v127(constB59, bitIndex2)) | v130(constB59, bitIndex2)),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9708, 1812, 9649])).
% 24.53/16.26 tff(9710,plain,
% 24.53/16.26 (~v127(constB59, bitIndex2)),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9709, 9702])).
% 24.53/16.26 tff(9711,plain,
% 24.53/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex2) | (~v129(constB60, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex2) | (~v129(constB60, bitIndex2)))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9712,plain,
% 24.53/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex2) | (~v129(constB60, bitIndex2)))),
% 24.53/16.26 inference(quant_inst,[status(thm)],[])).
% 24.53/16.26 tff(9713,plain,
% 24.53/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex2) | (~v129(constB60, bitIndex2))),
% 24.53/16.26 inference(modus_ponens,[status(thm)],[9712, 9711])).
% 24.53/16.26 tff(9714,plain,
% 24.53/16.26 (v127(constB59, bitIndex2) | (~v129(constB60, bitIndex2))),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9713, 1830, 9667])).
% 24.53/16.26 tff(9715,plain,
% 24.53/16.26 (~v129(constB60, bitIndex2)),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9714, 9710])).
% 24.53/16.26 tff(9716,plain,
% 24.53/16.26 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB60, bitIndex2)) | v129(constB60, bitIndex2) | (~v100(constB60)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB60, bitIndex2)) | v129(constB60, bitIndex2) | (~v100(constB60)))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9717,plain,
% 24.53/16.26 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB60, bitIndex2)) | v129(constB60, bitIndex2) | (~v100(constB60)))),
% 24.53/16.26 inference(quant_inst,[status(thm)],[])).
% 24.53/16.26 tff(9718,plain,
% 24.53/16.26 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB60, bitIndex2)) | v129(constB60, bitIndex2) | (~v100(constB60))),
% 24.53/16.26 inference(modus_ponens,[status(thm)],[9717, 9716])).
% 24.53/16.26 tff(9719,plain,
% 24.53/16.26 ((~v90(constB60, bitIndex2)) | (~v100(constB60))),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9718, 1845, 9715])).
% 24.53/16.26 tff(9720,plain,
% 24.53/16.26 (~v90(constB60, bitIndex2)),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9719, 9698])).
% 24.53/16.26 tff(9721,plain,
% 24.53/16.26 ((~v1(constB61)) <=> (~v1(constB61))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9722,axiom,(~v1(constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_61_1_1')).
% 24.53/16.26 tff(9723,plain,
% 24.53/16.26 (~v1(constB61)),
% 24.53/16.26 inference(modus_ponens,[status(thm)],[9722, 9721])).
% 24.53/16.26 tff(9724,plain,
% 24.53/16.26 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9725,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_60_1')).
% 24.53/16.26 tff(9726,plain,
% 24.53/16.26 (nextState(constB60, constB61)),
% 24.53/16.26 inference(modus_ponens,[status(thm)],[9725, 9724])).
% 24.53/16.26 tff(9727,plain,
% 24.53/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9728,plain,
% 24.53/16.26 (((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61)) <=> (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9729,plain,
% 24.53/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61))))),
% 24.53/16.26 inference(monotonicity,[status(thm)],[9728])).
% 24.53/16.26 tff(9730,plain,
% 24.53/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 24.53/16.26 inference(transitivity,[status(thm)],[9729, 9727])).
% 24.53/16.26 tff(9731,plain,
% 24.53/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))),
% 24.53/16.26 inference(quant_inst,[status(thm)],[])).
% 24.53/16.26 tff(9732,plain,
% 24.53/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61))),
% 24.53/16.26 inference(modus_ponens,[status(thm)],[9731, 9730])).
% 24.53/16.26 tff(9733,plain,
% 24.53/16.26 (~v101(constB61)),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9732, 860, 9726, 9723])).
% 24.53/16.26 tff(9734,plain,
% 24.53/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9735,plain,
% 24.53/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))),
% 24.53/16.26 inference(quant_inst,[status(thm)],[])).
% 24.53/16.26 tff(9736,plain,
% 24.53/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61))),
% 24.53/16.26 inference(modus_ponens,[status(thm)],[9735, 9734])).
% 24.53/16.26 tff(9737,plain,
% 24.53/16.26 (v101(constB61) | (~v100(constB61))),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9736, 877, 9726])).
% 24.53/16.26 tff(9738,plain,
% 24.53/16.26 (~v100(constB61)),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9737, 9733])).
% 24.53/16.26 tff(9739,plain,
% 24.53/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex2)))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9740,plain,
% 24.53/16.26 (((~nextState(constB60, constB61)) | v90(constB60, bitIndex2) | v100(constB61) | (~v90(constB61, bitIndex2))) <=> (v90(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex2)))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9741,plain,
% 24.53/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex2) | v100(constB61) | (~v90(constB61, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex2))))),
% 24.53/16.26 inference(monotonicity,[status(thm)],[9740])).
% 24.53/16.26 tff(9742,plain,
% 24.53/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex2) | v100(constB61) | (~v90(constB61, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex2)))),
% 24.53/16.26 inference(transitivity,[status(thm)],[9741, 9739])).
% 24.53/16.26 tff(9743,plain,
% 24.53/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex2) | v100(constB61) | (~v90(constB61, bitIndex2)))),
% 24.53/16.26 inference(quant_inst,[status(thm)],[])).
% 24.53/16.26 tff(9744,plain,
% 24.53/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex2))),
% 24.53/16.26 inference(modus_ponens,[status(thm)],[9743, 9742])).
% 24.53/16.26 tff(9745,plain,
% 24.53/16.26 (v90(constB60, bitIndex2) | v100(constB61) | (~v90(constB61, bitIndex2))),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9744, 892, 9726])).
% 24.53/16.26 tff(9746,plain,
% 24.53/16.26 (v90(constB60, bitIndex2) | (~v90(constB61, bitIndex2))),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9745, 9738])).
% 24.53/16.26 tff(9747,plain,
% 24.53/16.26 (~v90(constB61, bitIndex2)),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9746, 9720])).
% 24.53/16.26 tff(9748,plain,
% 24.53/16.26 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB59)) | v130(constB59, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB59)) | v130(constB59, bitIndex1))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9749,plain,
% 24.53/16.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB59)) | v130(constB59, bitIndex1))),
% 24.53/16.26 inference(quant_inst,[status(thm)],[])).
% 24.53/16.26 tff(9750,plain,
% 24.53/16.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB59)) | v130(constB59, bitIndex1)),
% 24.53/16.26 inference(modus_ponens,[status(thm)],[9749, 9748])).
% 24.53/16.26 tff(9751,plain,
% 24.53/16.26 (v130(constB59, bitIndex1)),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9750, 2562, 9613])).
% 24.53/16.26 tff(9752,plain,
% 24.53/16.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9753,plain,
% 24.53/16.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1))),
% 24.53/16.26 inference(quant_inst,[status(thm)],[])).
% 24.53/16.26 tff(9754,plain,
% 24.53/16.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1)),
% 24.53/16.26 inference(modus_ponens,[status(thm)],[9753, 9752])).
% 24.53/16.26 tff(9755,plain,
% 24.53/16.26 ((~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1)),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9754, 1553, 9649])).
% 24.53/16.26 tff(9756,plain,
% 24.53/16.26 (v127(constB59, bitIndex1)),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9755, 9751])).
% 24.53/16.26 tff(9757,plain,
% 24.53/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9758,plain,
% 24.53/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1))),
% 24.53/16.26 inference(quant_inst,[status(thm)],[])).
% 24.53/16.26 tff(9759,plain,
% 24.53/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1)),
% 24.53/16.26 inference(modus_ponens,[status(thm)],[9758, 9757])).
% 24.53/16.26 tff(9760,plain,
% 24.53/16.26 ((~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1)),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9759, 1568, 9667])).
% 24.53/16.26 tff(9761,plain,
% 24.53/16.26 (v129(constB60, bitIndex1)),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9760, 9756])).
% 24.53/16.26 tff(9762,plain,
% 24.53/16.26 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9763,plain,
% 24.53/16.26 ((v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1))) <=> (v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9764,plain,
% 24.53/16.26 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60))))),
% 24.53/16.26 inference(monotonicity,[status(thm)],[9763])).
% 24.53/16.26 tff(9765,plain,
% 24.53/16.26 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))),
% 24.53/16.26 inference(transitivity,[status(thm)],[9764, 9762])).
% 24.53/16.26 tff(9766,plain,
% 24.53/16.26 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1)))),
% 24.53/16.26 inference(quant_inst,[status(thm)],[])).
% 24.53/16.26 tff(9767,plain,
% 24.53/16.26 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60))),
% 24.53/16.26 inference(modus_ponens,[status(thm)],[9766, 9765])).
% 24.53/16.26 tff(9768,plain,
% 24.53/16.26 (v90(constB60, bitIndex1) | (~v100(constB60))),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9767, 1583, 9761])).
% 24.53/16.26 tff(9769,plain,
% 24.53/16.26 (v90(constB60, bitIndex1)),
% 24.53/16.26 inference(unit_resolution,[status(thm)],[9768, 9698])).
% 24.53/16.26 tff(9770,plain,
% 24.53/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9771,plain,
% 24.53/16.26 (((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1)) <=> ((~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))),
% 24.53/16.26 inference(rewrite,[status(thm)],[])).
% 24.53/16.26 tff(9772,plain,
% 24.53/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1)))),
% 24.53/16.26 inference(monotonicity,[status(thm)],[9771])).
% 24.53/16.26 tff(9773,plain,
% 24.53/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))),
% 24.53/16.26 inference(transitivity,[status(thm)],[9772, 9770])).
% 24.53/16.26 tff(9774,plain,
% 24.53/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1))),
% 24.53/16.27 inference(quant_inst,[status(thm)],[])).
% 24.53/16.27 tff(9775,plain,
% 24.53/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1)),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9774, 9773])).
% 24.53/16.27 tff(9776,plain,
% 24.53/16.27 ((~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9775, 1601, 9726])).
% 24.53/16.27 tff(9777,plain,
% 24.53/16.27 ((~v90(constB60, bitIndex1)) | v90(constB61, bitIndex1)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9776, 9738])).
% 24.53/16.27 tff(9778,plain,
% 24.53/16.27 (v90(constB61, bitIndex1)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9777, 9769])).
% 24.53/16.27 tff(9779,plain,
% 24.53/16.27 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB59)) | v130(constB59, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB59)) | v130(constB59, bitIndex0))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9780,plain,
% 24.53/16.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB59)) | v130(constB59, bitIndex0))),
% 24.53/16.27 inference(quant_inst,[status(thm)],[])).
% 24.53/16.27 tff(9781,plain,
% 24.53/16.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB59)) | v130(constB59, bitIndex0)),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9780, 9779])).
% 24.53/16.27 tff(9782,plain,
% 24.53/16.27 (v130(constB59, bitIndex0)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9781, 2600, 9613])).
% 24.53/16.27 tff(9783,plain,
% 24.53/16.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB59) | (~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB59) | (~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9784,plain,
% 24.53/16.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB59) | (~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0))),
% 24.53/16.27 inference(quant_inst,[status(thm)],[])).
% 24.53/16.27 tff(9785,plain,
% 24.53/16.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB59) | (~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0)),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9784, 9783])).
% 24.53/16.27 tff(9786,plain,
% 24.53/16.27 ((~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9785, 1945, 9649])).
% 24.53/16.27 tff(9787,plain,
% 24.53/16.27 (v127(constB59, bitIndex0)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9786, 9782])).
% 24.53/16.27 tff(9788,plain,
% 24.53/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9789,plain,
% 24.53/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0))),
% 24.53/16.27 inference(quant_inst,[status(thm)],[])).
% 24.53/16.27 tff(9790,plain,
% 24.53/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0)),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9789, 9788])).
% 24.53/16.27 tff(9791,plain,
% 24.53/16.27 ((~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9790, 1960, 9667])).
% 24.53/16.27 tff(9792,plain,
% 24.53/16.27 (v129(constB60, bitIndex0)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9791, 9787])).
% 24.53/16.27 tff(9793,plain,
% 24.53/16.27 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60)))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9794,plain,
% 24.53/16.27 ((v90(constB60, bitIndex0) | (~v100(constB60)) | (~v129(constB60, bitIndex0))) <=> (v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60)))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9795,plain,
% 24.53/16.27 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v100(constB60)) | (~v129(constB60, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60))))),
% 24.53/16.27 inference(monotonicity,[status(thm)],[9794])).
% 24.53/16.27 tff(9796,plain,
% 24.53/16.27 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v100(constB60)) | (~v129(constB60, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60)))),
% 24.53/16.27 inference(transitivity,[status(thm)],[9795, 9793])).
% 24.53/16.27 tff(9797,plain,
% 24.53/16.27 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v100(constB60)) | (~v129(constB60, bitIndex0)))),
% 24.53/16.27 inference(quant_inst,[status(thm)],[])).
% 24.53/16.27 tff(9798,plain,
% 24.53/16.27 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60))),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9797, 9796])).
% 24.53/16.27 tff(9799,plain,
% 24.53/16.27 (v90(constB60, bitIndex0) | (~v100(constB60))),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9798, 1975, 9792])).
% 24.53/16.27 tff(9800,plain,
% 24.53/16.27 (v90(constB60, bitIndex0)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9799, 9698])).
% 24.53/16.27 tff(9801,plain,
% 24.53/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex0))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9802,plain,
% 24.53/16.27 (((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex0)) | v100(constB61) | v90(constB61, bitIndex0)) <=> ((~v90(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex0))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9803,plain,
% 24.53/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex0)) | v100(constB61) | v90(constB61, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex0)))),
% 24.53/16.27 inference(monotonicity,[status(thm)],[9802])).
% 24.53/16.27 tff(9804,plain,
% 24.53/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex0)) | v100(constB61) | v90(constB61, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex0))),
% 24.53/16.27 inference(transitivity,[status(thm)],[9803, 9801])).
% 24.53/16.27 tff(9805,plain,
% 24.53/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex0)) | v100(constB61) | v90(constB61, bitIndex0))),
% 24.53/16.27 inference(quant_inst,[status(thm)],[])).
% 24.53/16.27 tff(9806,plain,
% 24.53/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex0)),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9805, 9804])).
% 24.53/16.27 tff(9807,plain,
% 24.53/16.27 ((~v90(constB60, bitIndex0)) | v100(constB61) | v90(constB61, bitIndex0)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9806, 1993, 9726])).
% 24.53/16.27 tff(9808,plain,
% 24.53/16.27 ((~v90(constB60, bitIndex0)) | v90(constB61, bitIndex0)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9807, 9738])).
% 24.53/16.27 tff(9809,plain,
% 24.53/16.27 (v90(constB61, bitIndex0)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9808, 9800])).
% 24.53/16.27 tff(9810,plain,
% 24.53/16.27 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v122(constB61))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v122(constB61))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9811,plain,
% 24.53/16.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v122(constB61))),
% 24.53/16.27 inference(quant_inst,[status(thm)],[])).
% 24.53/16.27 tff(9812,plain,
% 24.53/16.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v122(constB61)),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9811, 9810])).
% 24.53/16.27 tff(9813,plain,
% 24.53/16.27 (v122(constB61)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9812, 2641, 9809, 9778, 9747])).
% 24.53/16.27 tff(9814,plain,
% 24.53/16.27 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB61)) | v130(constB61, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB61)) | v130(constB61, bitIndex2))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9815,plain,
% 24.53/16.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB61)) | v130(constB61, bitIndex2))),
% 24.53/16.27 inference(quant_inst,[status(thm)],[])).
% 24.53/16.27 tff(9816,plain,
% 24.53/16.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB61)) | v130(constB61, bitIndex2)),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9815, 9814])).
% 24.53/16.27 tff(9817,plain,
% 24.53/16.27 (v130(constB61, bitIndex2)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9816, 2736, 9813])).
% 24.53/16.27 tff(9818,plain,
% 24.53/16.27 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB61)) | v116(constB61))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB61)) | v116(constB61))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9819,plain,
% 24.53/16.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB61)) | v116(constB61))),
% 24.53/16.27 inference(quant_inst,[status(thm)],[])).
% 24.53/16.27 tff(9820,plain,
% 24.53/16.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB61)) | v116(constB61)),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9819, 9818])).
% 24.53/16.27 tff(9821,plain,
% 24.53/16.27 (v116(constB61)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9820, 2652, 9813])).
% 24.53/16.27 tff(9822,plain,
% 24.53/16.27 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB61)) | v115(constB61))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB61)) | v115(constB61))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9823,plain,
% 24.53/16.27 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB61)) | v115(constB61))),
% 24.53/16.27 inference(quant_inst,[status(thm)],[])).
% 24.53/16.27 tff(9824,plain,
% 24.53/16.27 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB61)) | v115(constB61)),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9823, 9822])).
% 24.53/16.27 tff(9825,plain,
% 24.53/16.27 (v115(constB61)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9824, 1008, 9821])).
% 24.53/16.27 tff(9826,plain,
% 24.53/16.27 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB61) | (~v115(constB61)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB61) | (~v115(constB61)))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9827,plain,
% 24.53/16.27 (((~v115(constB61)) | v114(constB61)) <=> (v114(constB61) | (~v115(constB61)))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9828,plain,
% 24.53/16.27 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB61)) | v114(constB61))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB61) | (~v115(constB61))))),
% 24.53/16.27 inference(monotonicity,[status(thm)],[9827])).
% 24.53/16.27 tff(9829,plain,
% 24.53/16.27 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB61)) | v114(constB61))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB61) | (~v115(constB61)))),
% 24.53/16.27 inference(transitivity,[status(thm)],[9828, 9826])).
% 24.53/16.27 tff(9830,plain,
% 24.53/16.27 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB61)) | v114(constB61))),
% 24.53/16.27 inference(quant_inst,[status(thm)],[])).
% 24.53/16.27 tff(9831,plain,
% 24.53/16.27 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB61) | (~v115(constB61))),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9830, 9829])).
% 24.53/16.27 tff(9832,plain,
% 24.53/16.27 (v114(constB61)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9831, 1022, 9825])).
% 24.53/16.27 tff(9833,plain,
% 24.53/16.27 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB61) | (~v114(constB61)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB61) | (~v114(constB61)))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9834,plain,
% 24.53/16.27 (((~v114(constB61)) | v113(constB61)) <=> (v113(constB61) | (~v114(constB61)))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9835,plain,
% 24.53/16.27 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB61)) | v113(constB61))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB61) | (~v114(constB61))))),
% 24.53/16.27 inference(monotonicity,[status(thm)],[9834])).
% 24.53/16.27 tff(9836,plain,
% 24.53/16.27 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB61)) | v113(constB61))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB61) | (~v114(constB61)))),
% 24.53/16.27 inference(transitivity,[status(thm)],[9835, 9833])).
% 24.53/16.27 tff(9837,plain,
% 24.53/16.27 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB61)) | v113(constB61))),
% 24.53/16.27 inference(quant_inst,[status(thm)],[])).
% 24.53/16.27 tff(9838,plain,
% 24.53/16.27 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB61) | (~v114(constB61))),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9837, 9836])).
% 24.53/16.27 tff(9839,plain,
% 24.53/16.27 (v113(constB61)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9838, 1036, 9832])).
% 24.53/16.27 tff(9840,assumption,(v26(constB61)), introduced(assumption)).
% 24.53/16.27 tff(9841,plain,
% 24.53/16.27 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB61))),
% 24.53/16.27 inference(quant_inst,[status(thm)],[])).
% 24.53/16.27 tff(9842,plain,
% 24.53/16.27 ($false),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9841, 797, 9840])).
% 24.53/16.27 tff(9843,plain,(~v26(constB61)), inference(lemma,lemma(discharge,[]))).
% 24.53/16.27 tff(9844,assumption,(~v26(constB61)), introduced(assumption)).
% 24.53/16.27 tff(9845,assumption,(v113(constB61)), introduced(assumption)).
% 24.53/16.27 tff(9846,plain,
% 24.53/16.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | v112(constB61) | (~v113(constB61)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9847,plain,
% 24.53/16.27 ((v26(constB61) | (~v113(constB61)) | v112(constB61)) <=> (v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9848,plain,
% 24.53/16.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | v112(constB61) | (~v113(constB61))))),
% 24.53/16.27 inference(monotonicity,[status(thm)],[9847])).
% 24.53/16.27 tff(9849,plain,
% 24.53/16.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 24.53/16.27 inference(transitivity,[status(thm)],[9848, 9846])).
% 24.53/16.27 tff(9850,plain,
% 24.53/16.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))),
% 24.53/16.27 inference(quant_inst,[status(thm)],[])).
% 24.53/16.27 tff(9851,plain,
% 24.53/16.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61))),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9850, 9849])).
% 24.53/16.27 tff(9852,plain,
% 24.53/16.27 (v26(constB61) | v112(constB61)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9851, 1050, 9845])).
% 24.53/16.27 tff(9853,plain,
% 24.53/16.27 (v112(constB61)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9852, 9844])).
% 24.53/16.27 tff(9854,assumption,(v130(constB61, bitIndex2)), introduced(assumption)).
% 24.53/16.27 tff(9855,plain,
% 24.53/16.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB61) | (~v130(constB61, bitIndex2)) | v127(constB61, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB61) | (~v130(constB61, bitIndex2)) | v127(constB61, bitIndex2))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9856,plain,
% 24.53/16.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB61) | (~v130(constB61, bitIndex2)) | v127(constB61, bitIndex2))),
% 24.53/16.27 inference(quant_inst,[status(thm)],[])).
% 24.53/16.27 tff(9857,plain,
% 24.53/16.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB61) | (~v130(constB61, bitIndex2)) | v127(constB61, bitIndex2)),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9856, 9855])).
% 24.53/16.27 tff(9858,plain,
% 24.53/16.27 (v26(constB61) | v127(constB61, bitIndex2)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9857, 1174, 9854])).
% 24.53/16.27 tff(9859,plain,
% 24.53/16.27 (v127(constB61, bitIndex2)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9858, 9844])).
% 24.53/16.27 tff(9860,plain,
% 24.53/16.27 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9861,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_61_1')).
% 24.53/16.27 tff(9862,plain,
% 24.53/16.27 (nextState(constB61, constB62)),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9861, 9860])).
% 24.53/16.27 tff(9863,plain,
% 24.53/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB61, constB62)) | (~v127(constB61, bitIndex2)) | v129(constB62, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB61, constB62)) | (~v127(constB61, bitIndex2)) | v129(constB62, bitIndex2))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9864,plain,
% 24.53/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB61, constB62)) | (~v127(constB61, bitIndex2)) | v129(constB62, bitIndex2))),
% 24.53/16.27 inference(quant_inst,[status(thm)],[])).
% 24.53/16.27 tff(9865,plain,
% 24.53/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB61, constB62)) | (~v127(constB61, bitIndex2)) | v129(constB62, bitIndex2)),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9864, 9863])).
% 24.53/16.27 tff(9866,plain,
% 24.53/16.27 ((~v127(constB61, bitIndex2)) | v129(constB62, bitIndex2)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9865, 1189, 9862])).
% 24.53/16.27 tff(9867,plain,
% 24.53/16.27 (v129(constB62, bitIndex2)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9866, 9859])).
% 24.53/16.27 tff(9868,assumption,(~v90(constB62, bitIndex2)), introduced(assumption)).
% 24.53/16.27 tff(9869,plain,
% 24.53/16.27 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~v129(constB62, bitIndex2)) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~v129(constB62, bitIndex2)) | (~v100(constB62)))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9870,plain,
% 24.53/16.27 ((v90(constB62, bitIndex2) | (~v100(constB62)) | (~v129(constB62, bitIndex2))) <=> (v90(constB62, bitIndex2) | (~v129(constB62, bitIndex2)) | (~v100(constB62)))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9871,plain,
% 24.53/16.27 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~v100(constB62)) | (~v129(constB62, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~v129(constB62, bitIndex2)) | (~v100(constB62))))),
% 24.53/16.27 inference(monotonicity,[status(thm)],[9870])).
% 24.53/16.27 tff(9872,plain,
% 24.53/16.27 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~v100(constB62)) | (~v129(constB62, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~v129(constB62, bitIndex2)) | (~v100(constB62)))),
% 24.53/16.27 inference(transitivity,[status(thm)],[9871, 9869])).
% 24.53/16.27 tff(9873,plain,
% 24.53/16.27 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~v100(constB62)) | (~v129(constB62, bitIndex2)))),
% 24.53/16.27 inference(quant_inst,[status(thm)],[])).
% 24.53/16.27 tff(9874,plain,
% 24.53/16.27 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~v129(constB62, bitIndex2)) | (~v100(constB62))),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9873, 9872])).
% 24.53/16.27 tff(9875,plain,
% 24.53/16.27 ((~v129(constB62, bitIndex2)) | (~v100(constB62))),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9874, 1204, 9868])).
% 24.53/16.27 tff(9876,plain,
% 24.53/16.27 (~v100(constB62)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9875, 9867])).
% 24.53/16.27 tff(9877,plain,
% 24.53/16.27 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9878,plain,
% 24.53/16.27 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))),
% 24.53/16.27 inference(quant_inst,[status(thm)],[])).
% 24.53/16.27 tff(9879,plain,
% 24.53/16.27 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62))),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9878, 9877])).
% 24.53/16.27 tff(9880,plain,
% 24.53/16.27 (~v104(constB62)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9879, 1100, 9862, 9723])).
% 24.53/16.27 tff(9881,plain,
% 24.53/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9882,plain,
% 24.53/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))),
% 24.53/16.27 inference(quant_inst,[status(thm)],[])).
% 24.53/16.27 tff(9883,plain,
% 24.53/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v102(constB62) | v104(constB62)),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9882, 9881])).
% 24.53/16.27 tff(9884,plain,
% 24.53/16.27 (v102(constB62) | v104(constB62)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9883, 1114, 9862])).
% 24.53/16.27 tff(9885,plain,
% 24.53/16.27 (v102(constB62)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9884, 9880])).
% 24.53/16.27 tff(9886,plain,
% 24.53/16.27 (v1(constB62) <=> v1(constB62)),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9887,axiom,(v1(constB62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_62_1')).
% 24.53/16.27 tff(9888,plain,
% 24.53/16.27 (v1(constB62)),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9887, 9886])).
% 24.53/16.27 tff(9889,plain,
% 24.53/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9890,plain,
% 24.53/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))),
% 24.53/16.27 inference(quant_inst,[status(thm)],[])).
% 24.53/16.27 tff(9891,plain,
% 24.53/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62))),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9890, 9889])).
% 24.53/16.27 tff(9892,plain,
% 24.53/16.27 (v101(constB62) | (~v102(constB62))),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9891, 1129, 9862, 9888])).
% 24.53/16.27 tff(9893,plain,
% 24.53/16.27 (v101(constB62)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9892, 9885])).
% 24.53/16.27 tff(9894,plain,
% 24.53/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9895,plain,
% 24.53/16.27 (((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62)) <=> ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9896,plain,
% 24.53/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62))))),
% 24.53/16.27 inference(monotonicity,[status(thm)],[9895])).
% 24.53/16.27 tff(9897,plain,
% 24.53/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 24.53/16.27 inference(transitivity,[status(thm)],[9896, 9894])).
% 24.53/16.27 tff(9898,plain,
% 24.53/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))),
% 24.53/16.27 inference(quant_inst,[status(thm)],[])).
% 24.53/16.27 tff(9899,plain,
% 24.53/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9898, 9897])).
% 24.53/16.27 tff(9900,plain,
% 24.53/16.27 (v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9899, 1144, 9862])).
% 24.53/16.27 tff(9901,plain,
% 24.53/16.27 (v100(constB62) | (~v110(constB62))),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9900, 9893])).
% 24.53/16.27 tff(9902,plain,
% 24.53/16.27 (~v110(constB62)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9901, 9876])).
% 24.53/16.27 tff(9903,plain,
% 24.53/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9904,plain,
% 24.53/16.27 (((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62)) <=> ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9905,plain,
% 24.53/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61))))),
% 24.53/16.27 inference(monotonicity,[status(thm)],[9904])).
% 24.53/16.27 tff(9906,plain,
% 24.53/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 24.53/16.27 inference(transitivity,[status(thm)],[9905, 9903])).
% 24.53/16.27 tff(9907,plain,
% 24.53/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))),
% 24.53/16.27 inference(quant_inst,[status(thm)],[])).
% 24.53/16.27 tff(9908,plain,
% 24.53/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61))),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9907, 9906])).
% 24.53/16.27 tff(9909,plain,
% 24.53/16.27 (v110(constB62) | (~v108(constB61))),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9908, 1082, 9862])).
% 24.53/16.27 tff(9910,plain,
% 24.53/16.27 (~v108(constB61)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9909, 9902])).
% 24.53/16.27 tff(9911,plain,
% 24.53/16.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB61) | (~v112(constB61)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v112(constB61)))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9912,plain,
% 24.53/16.27 (((~v112(constB61)) | v108(constB61)) <=> (v108(constB61) | (~v112(constB61)))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9913,plain,
% 24.53/16.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB61)) | v108(constB61))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB61) | (~v112(constB61))))),
% 24.53/16.27 inference(monotonicity,[status(thm)],[9912])).
% 24.53/16.27 tff(9914,plain,
% 24.53/16.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB61)) | v108(constB61))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v112(constB61)))),
% 24.53/16.27 inference(transitivity,[status(thm)],[9913, 9911])).
% 24.53/16.27 tff(9915,plain,
% 24.53/16.27 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB61)) | v108(constB61))),
% 24.53/16.27 inference(quant_inst,[status(thm)],[])).
% 24.53/16.27 tff(9916,plain,
% 24.53/16.27 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v112(constB61))),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9915, 9914])).
% 24.53/16.27 tff(9917,plain,
% 24.53/16.27 ($false),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9916, 1062, 9910, 9853])).
% 24.53/16.27 tff(9918,plain,(v26(constB61) | v90(constB62, bitIndex2) | (~v113(constB61)) | (~v130(constB61, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 24.53/16.27 tff(9919,plain,
% 24.53/16.27 (v90(constB62, bitIndex2) | (~v113(constB61)) | (~v130(constB61, bitIndex2))),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9918, 9843])).
% 24.53/16.27 tff(9920,plain,
% 24.53/16.27 (v90(constB62, bitIndex2)),
% 24.53/16.27 inference(unit_resolution,[status(thm)],[9919, 9839, 9817])).
% 24.53/16.27 tff(9921,plain,
% 24.53/16.27 ((~v1(constB63)) <=> (~v1(constB63))),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9922,axiom,(~v1(constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_63_1_1')).
% 24.53/16.27 tff(9923,plain,
% 24.53/16.27 (~v1(constB63)),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9922, 9921])).
% 24.53/16.27 tff(9924,plain,
% 24.53/16.27 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 24.53/16.27 inference(rewrite,[status(thm)],[])).
% 24.53/16.27 tff(9925,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_62_1')).
% 24.53/16.27 tff(9926,plain,
% 24.53/16.27 (nextState(constB62, constB63)),
% 24.53/16.27 inference(modus_ponens,[status(thm)],[9925, 9924])).
% 24.53/16.27 tff(9927,plain,
% 24.53/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 24.53/16.28 inference(rewrite,[status(thm)],[])).
% 24.53/16.28 tff(9928,plain,
% 24.53/16.28 (((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63)) <=> (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 24.53/16.28 inference(rewrite,[status(thm)],[])).
% 24.53/16.28 tff(9929,plain,
% 24.53/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63))))),
% 24.53/16.28 inference(monotonicity,[status(thm)],[9928])).
% 24.53/16.28 tff(9930,plain,
% 24.53/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 24.53/16.28 inference(transitivity,[status(thm)],[9929, 9927])).
% 24.53/16.28 tff(9931,plain,
% 24.53/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))),
% 24.53/16.28 inference(quant_inst,[status(thm)],[])).
% 24.53/16.28 tff(9932,plain,
% 24.53/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63))),
% 24.53/16.28 inference(modus_ponens,[status(thm)],[9931, 9930])).
% 24.53/16.28 tff(9933,plain,
% 24.53/16.28 (~v101(constB63)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9932, 860, 9926, 9923])).
% 24.53/16.28 tff(9934,plain,
% 24.53/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))),
% 24.53/16.28 inference(rewrite,[status(thm)],[])).
% 24.53/16.28 tff(9935,plain,
% 24.53/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))),
% 24.53/16.28 inference(quant_inst,[status(thm)],[])).
% 24.53/16.28 tff(9936,plain,
% 24.53/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63))),
% 24.53/16.28 inference(modus_ponens,[status(thm)],[9935, 9934])).
% 24.53/16.28 tff(9937,plain,
% 24.53/16.28 (v101(constB63) | (~v100(constB63))),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9936, 877, 9926])).
% 24.53/16.28 tff(9938,plain,
% 24.53/16.28 (~v100(constB63)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9937, 9933])).
% 24.53/16.28 tff(9939,plain,
% 24.53/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex2))),
% 24.53/16.28 inference(rewrite,[status(thm)],[])).
% 24.53/16.28 tff(9940,plain,
% 24.53/16.28 (((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex2)) | v100(constB63) | v90(constB63, bitIndex2)) <=> ((~v90(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex2))),
% 24.53/16.28 inference(rewrite,[status(thm)],[])).
% 24.53/16.28 tff(9941,plain,
% 24.53/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex2)) | v100(constB63) | v90(constB63, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex2)))),
% 24.53/16.28 inference(monotonicity,[status(thm)],[9940])).
% 24.53/16.28 tff(9942,plain,
% 24.53/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex2)) | v100(constB63) | v90(constB63, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex2))),
% 24.53/16.28 inference(transitivity,[status(thm)],[9941, 9939])).
% 24.53/16.28 tff(9943,plain,
% 24.53/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex2)) | v100(constB63) | v90(constB63, bitIndex2))),
% 24.53/16.28 inference(quant_inst,[status(thm)],[])).
% 24.53/16.28 tff(9944,plain,
% 24.53/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex2)),
% 24.53/16.28 inference(modus_ponens,[status(thm)],[9943, 9942])).
% 24.53/16.28 tff(9945,plain,
% 24.53/16.28 ((~v90(constB62, bitIndex2)) | v100(constB63) | v90(constB63, bitIndex2)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9944, 1240, 9926])).
% 24.53/16.28 tff(9946,plain,
% 24.53/16.28 ((~v90(constB62, bitIndex2)) | v90(constB63, bitIndex2)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9945, 9938])).
% 24.53/16.28 tff(9947,plain,
% 24.53/16.28 (v90(constB63, bitIndex2)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9946, 9920])).
% 24.53/16.28 tff(9948,plain,
% 24.53/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB61, bitIndex2) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB61, bitIndex2) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex2)))),
% 24.53/16.28 inference(rewrite,[status(thm)],[])).
% 24.53/16.28 tff(9949,plain,
% 24.53/16.28 (((~nextState(constB61, constB62)) | v90(constB61, bitIndex2) | v100(constB62) | (~v90(constB62, bitIndex2))) <=> (v90(constB61, bitIndex2) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex2)))),
% 24.53/16.28 inference(rewrite,[status(thm)],[])).
% 24.53/16.28 tff(9950,plain,
% 24.53/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v90(constB61, bitIndex2) | v100(constB62) | (~v90(constB62, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB61, bitIndex2) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex2))))),
% 24.53/16.28 inference(monotonicity,[status(thm)],[9949])).
% 24.53/16.28 tff(9951,plain,
% 24.53/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v90(constB61, bitIndex2) | v100(constB62) | (~v90(constB62, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB61, bitIndex2) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex2)))),
% 24.53/16.28 inference(transitivity,[status(thm)],[9950, 9948])).
% 24.53/16.28 tff(9952,plain,
% 24.53/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v90(constB61, bitIndex2) | v100(constB62) | (~v90(constB62, bitIndex2)))),
% 24.53/16.28 inference(quant_inst,[status(thm)],[])).
% 24.53/16.28 tff(9953,plain,
% 24.53/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB61, bitIndex2) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex2))),
% 24.53/16.28 inference(modus_ponens,[status(thm)],[9952, 9951])).
% 24.53/16.28 tff(9954,plain,
% 24.53/16.28 (v90(constB61, bitIndex2) | v100(constB62) | (~v90(constB62, bitIndex2))),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9953, 892, 9862])).
% 24.53/16.28 tff(9955,plain,
% 24.53/16.28 (v100(constB62)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9954, 9920, 9747])).
% 24.53/16.28 tff(9956,plain,
% 24.53/16.28 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB61)) | (~v130(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB61)) | (~v130(constB61, bitIndex1)))),
% 24.53/16.28 inference(rewrite,[status(thm)],[])).
% 24.53/16.28 tff(9957,plain,
% 24.53/16.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB61)) | (~v130(constB61, bitIndex1)))),
% 24.53/16.28 inference(quant_inst,[status(thm)],[])).
% 24.53/16.28 tff(9958,plain,
% 24.53/16.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB61)) | (~v130(constB61, bitIndex1))),
% 24.53/16.28 inference(modus_ponens,[status(thm)],[9957, 9956])).
% 24.53/16.28 tff(9959,plain,
% 24.53/16.28 (~v130(constB61, bitIndex1)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9958, 2792, 9813])).
% 24.53/16.28 tff(9960,plain,
% 24.53/16.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))),
% 24.53/16.28 inference(rewrite,[status(thm)],[])).
% 24.53/16.28 tff(9961,plain,
% 24.53/16.28 ((v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1))) <=> ((~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))),
% 24.53/16.28 inference(rewrite,[status(thm)],[])).
% 24.53/16.28 tff(9962,plain,
% 24.53/16.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1)))),
% 24.53/16.28 inference(monotonicity,[status(thm)],[9961])).
% 24.53/16.28 tff(9963,plain,
% 24.53/16.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))),
% 24.53/16.28 inference(transitivity,[status(thm)],[9962, 9960])).
% 24.53/16.28 tff(9964,plain,
% 24.53/16.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1)))),
% 24.53/16.28 inference(quant_inst,[status(thm)],[])).
% 24.53/16.28 tff(9965,plain,
% 24.53/16.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1)),
% 24.53/16.28 inference(modus_ponens,[status(thm)],[9964, 9963])).
% 24.53/16.28 tff(9966,plain,
% 24.53/16.28 ((~v127(constB61, bitIndex1)) | v130(constB61, bitIndex1)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9965, 1270, 9843])).
% 24.53/16.28 tff(9967,plain,
% 24.53/16.28 (~v127(constB61, bitIndex1)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9966, 9959])).
% 24.53/16.28 tff(9968,plain,
% 24.53/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1)))),
% 24.53/16.28 inference(rewrite,[status(thm)],[])).
% 24.53/16.28 tff(9969,plain,
% 24.53/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1)))),
% 24.53/16.28 inference(quant_inst,[status(thm)],[])).
% 24.53/16.28 tff(9970,plain,
% 24.53/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1))),
% 24.53/16.28 inference(modus_ponens,[status(thm)],[9969, 9968])).
% 24.53/16.28 tff(9971,plain,
% 24.53/16.28 (v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1))),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9970, 1288, 9862])).
% 24.53/16.28 tff(9972,plain,
% 24.53/16.28 (~v129(constB62, bitIndex1)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9971, 9967])).
% 24.53/16.28 tff(9973,plain,
% 24.53/16.28 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))),
% 24.53/16.28 inference(rewrite,[status(thm)],[])).
% 24.53/16.28 tff(9974,plain,
% 24.53/16.28 (((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1)) <=> ((~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))),
% 24.53/16.28 inference(rewrite,[status(thm)],[])).
% 24.53/16.28 tff(9975,plain,
% 24.53/16.28 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62))))),
% 24.53/16.28 inference(monotonicity,[status(thm)],[9974])).
% 24.53/16.28 tff(9976,plain,
% 24.53/16.28 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))),
% 24.53/16.28 inference(transitivity,[status(thm)],[9975, 9973])).
% 24.53/16.28 tff(9977,plain,
% 24.53/16.28 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1))),
% 24.53/16.28 inference(quant_inst,[status(thm)],[])).
% 24.53/16.28 tff(9978,plain,
% 24.53/16.28 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62))),
% 24.53/16.28 inference(modus_ponens,[status(thm)],[9977, 9976])).
% 24.53/16.28 tff(9979,plain,
% 24.53/16.28 ((~v90(constB62, bitIndex1)) | (~v100(constB62))),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9978, 1303, 9972])).
% 24.53/16.28 tff(9980,plain,
% 24.53/16.28 (~v90(constB62, bitIndex1)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9979, 9955])).
% 24.53/16.28 tff(9981,plain,
% 24.53/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 24.53/16.28 inference(rewrite,[status(thm)],[])).
% 24.53/16.28 tff(9982,plain,
% 24.53/16.28 (((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1))) <=> (v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 24.53/16.28 inference(rewrite,[status(thm)],[])).
% 24.53/16.28 tff(9983,plain,
% 24.53/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1))))),
% 24.53/16.28 inference(monotonicity,[status(thm)],[9982])).
% 24.53/16.28 tff(9984,plain,
% 24.53/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 24.53/16.28 inference(transitivity,[status(thm)],[9983, 9981])).
% 24.53/16.28 tff(9985,plain,
% 24.53/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 24.53/16.28 inference(quant_inst,[status(thm)],[])).
% 24.53/16.28 tff(9986,plain,
% 24.53/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1))),
% 24.53/16.28 inference(modus_ponens,[status(thm)],[9985, 9984])).
% 24.53/16.28 tff(9987,plain,
% 24.53/16.28 (v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1))),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9986, 913, 9926])).
% 24.53/16.28 tff(9988,plain,
% 24.53/16.28 (v90(constB62, bitIndex1) | (~v90(constB63, bitIndex1))),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9987, 9938])).
% 24.53/16.28 tff(9989,plain,
% 24.53/16.28 (~v90(constB63, bitIndex1)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9988, 9980])).
% 24.53/16.28 tff(9990,assumption,(v121(constB59)), introduced(assumption)).
% 24.53/16.28 tff(9991,plain,
% 24.53/16.28 (v117(constB59)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9616, 2102, 9990])).
% 24.53/16.28 tff(9992,plain,
% 24.53/16.28 (v116(constB59)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9623, 994, 9991])).
% 24.53/16.28 tff(9993,plain,
% 24.53/16.28 (v115(constB59)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9630, 1008, 9992])).
% 24.53/16.28 tff(9994,plain,
% 24.53/16.28 (v114(constB59)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9637, 1022, 9993])).
% 24.53/16.28 tff(9995,plain,
% 24.53/16.28 (v113(constB59)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9644, 1036, 9994])).
% 24.53/16.28 tff(9996,plain,
% 24.53/16.28 (v112(constB59)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9656, 9995])).
% 24.53/16.28 tff(9997,plain,
% 24.53/16.28 (v108(constB59)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9663, 1062, 9996])).
% 24.53/16.28 tff(9998,plain,
% 24.53/16.28 (v110(constB60)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9674, 9997])).
% 24.53/16.28 tff(9999,plain,
% 24.53/16.28 (v100(constB60)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9697, 9998])).
% 24.53/16.28 tff(10000,plain,
% 24.53/16.28 (~v130(constB59, bitIndex2)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9701, 2406, 9990])).
% 24.53/16.28 tff(10001,plain,
% 24.53/16.28 (~v127(constB59, bitIndex2)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9709, 10000])).
% 24.53/16.28 tff(10002,plain,
% 24.53/16.28 (~v129(constB60, bitIndex2)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9714, 10001])).
% 24.53/16.28 tff(10003,plain,
% 24.53/16.28 ((~v90(constB60, bitIndex2)) | (~v100(constB60))),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9718, 1845, 10002])).
% 24.53/16.28 tff(10004,plain,
% 24.53/16.28 (~v90(constB60, bitIndex2)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[10003, 9999])).
% 24.53/16.28 tff(10005,plain,
% 24.53/16.28 (~v90(constB61, bitIndex2)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9746, 10004])).
% 24.53/16.28 tff(10006,plain,
% 24.53/16.28 (v130(constB59, bitIndex1)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9750, 2562, 9990])).
% 24.53/16.28 tff(10007,plain,
% 24.53/16.28 (v127(constB59, bitIndex1)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9755, 10006])).
% 24.53/16.28 tff(10008,plain,
% 24.53/16.28 (v129(constB60, bitIndex1)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9760, 10007])).
% 24.53/16.28 tff(10009,plain,
% 24.53/16.28 (v90(constB60, bitIndex1) | (~v100(constB60))),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9767, 1583, 10008])).
% 24.53/16.28 tff(10010,plain,
% 24.53/16.28 (v90(constB60, bitIndex1)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[10009, 9999])).
% 24.53/16.28 tff(10011,plain,
% 24.53/16.28 (v90(constB61, bitIndex1)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9777, 10010])).
% 24.53/16.28 tff(10012,plain,
% 24.53/16.28 (v130(constB59, bitIndex0)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9781, 2600, 9990])).
% 24.53/16.28 tff(10013,plain,
% 24.53/16.28 (v127(constB59, bitIndex0)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9786, 10012])).
% 24.53/16.28 tff(10014,plain,
% 24.53/16.28 (v129(constB60, bitIndex0)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9791, 10013])).
% 24.53/16.28 tff(10015,plain,
% 24.53/16.28 (v90(constB60, bitIndex0) | (~v100(constB60))),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9798, 1975, 10014])).
% 24.53/16.28 tff(10016,plain,
% 24.53/16.28 (v90(constB60, bitIndex0)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[10015, 9999])).
% 24.53/16.28 tff(10017,plain,
% 24.53/16.28 (v90(constB61, bitIndex0)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9808, 10016])).
% 24.53/16.28 tff(10018,plain,
% 24.53/16.28 (v122(constB61)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9812, 2641, 10017, 10011, 10005])).
% 24.53/16.28 tff(10019,assumption,(v90(constB62, bitIndex2)), introduced(assumption)).
% 24.53/16.28 tff(10020,plain,
% 24.53/16.28 (v100(constB62)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[9954, 10005, 10019])).
% 24.53/16.28 tff(10021,assumption,(v90(constB62, bitIndex0)), introduced(assumption)).
% 24.53/16.28 tff(10022,plain,
% 24.53/16.28 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62)))),
% 24.53/16.28 inference(rewrite,[status(thm)],[])).
% 24.53/16.28 tff(10023,plain,
% 24.53/16.28 (((~v90(constB62, bitIndex0)) | (~v100(constB62)) | v129(constB62, bitIndex0)) <=> ((~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62)))),
% 24.53/16.28 inference(rewrite,[status(thm)],[])).
% 24.53/16.28 tff(10024,plain,
% 24.53/16.28 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | (~v100(constB62)) | v129(constB62, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62))))),
% 24.53/16.28 inference(monotonicity,[status(thm)],[10023])).
% 24.53/16.28 tff(10025,plain,
% 24.53/16.28 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | (~v100(constB62)) | v129(constB62, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62)))),
% 24.53/16.28 inference(transitivity,[status(thm)],[10024, 10022])).
% 24.53/16.28 tff(10026,plain,
% 24.53/16.28 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | (~v100(constB62)) | v129(constB62, bitIndex0))),
% 24.53/16.28 inference(quant_inst,[status(thm)],[])).
% 24.53/16.28 tff(10027,plain,
% 24.53/16.28 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62))),
% 24.53/16.28 inference(modus_ponens,[status(thm)],[10026, 10025])).
% 24.53/16.28 tff(10028,plain,
% 24.53/16.28 (v129(constB62, bitIndex0) | (~v100(constB62))),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[10027, 1374, 10021])).
% 24.53/16.28 tff(10029,plain,
% 24.53/16.28 (v129(constB62, bitIndex0)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[10028, 10020])).
% 24.53/16.28 tff(10030,plain,
% 24.53/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex0) | (~v129(constB62, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex0) | (~v129(constB62, bitIndex0)))),
% 24.53/16.28 inference(rewrite,[status(thm)],[])).
% 24.53/16.28 tff(10031,plain,
% 24.53/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex0) | (~v129(constB62, bitIndex0)))),
% 24.53/16.28 inference(quant_inst,[status(thm)],[])).
% 24.53/16.28 tff(10032,plain,
% 24.53/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex0) | (~v129(constB62, bitIndex0))),
% 24.53/16.28 inference(modus_ponens,[status(thm)],[10031, 10030])).
% 24.53/16.28 tff(10033,plain,
% 24.53/16.28 (v127(constB61, bitIndex0) | (~v129(constB62, bitIndex0))),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[10032, 1359, 9862])).
% 24.53/16.28 tff(10034,plain,
% 24.53/16.28 (v127(constB61, bitIndex0)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[10033, 10029])).
% 24.53/16.28 tff(10035,plain,
% 24.53/16.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0))),
% 24.53/16.28 inference(rewrite,[status(thm)],[])).
% 24.53/16.28 tff(10036,plain,
% 24.53/16.28 ((v26(constB61) | v130(constB61, bitIndex0) | (~v127(constB61, bitIndex0))) <=> ((~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0))),
% 24.53/16.28 inference(rewrite,[status(thm)],[])).
% 24.53/16.28 tff(10037,plain,
% 24.53/16.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB61) | v130(constB61, bitIndex0) | (~v127(constB61, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0)))),
% 24.53/16.28 inference(monotonicity,[status(thm)],[10036])).
% 24.53/16.28 tff(10038,plain,
% 24.53/16.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB61) | v130(constB61, bitIndex0) | (~v127(constB61, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0))),
% 24.53/16.28 inference(transitivity,[status(thm)],[10037, 10035])).
% 24.53/16.28 tff(10039,plain,
% 24.53/16.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB61) | v130(constB61, bitIndex0) | (~v127(constB61, bitIndex0)))),
% 24.53/16.28 inference(quant_inst,[status(thm)],[])).
% 24.53/16.28 tff(10040,plain,
% 24.53/16.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0)),
% 24.53/16.28 inference(modus_ponens,[status(thm)],[10039, 10038])).
% 24.53/16.28 tff(10041,plain,
% 24.53/16.28 ((~v127(constB61, bitIndex0)) | v130(constB61, bitIndex0)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[10040, 1341, 9843])).
% 24.53/16.28 tff(10042,plain,
% 24.53/16.28 (v130(constB61, bitIndex0)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[10041, 10034])).
% 24.53/16.28 tff(10043,plain,
% 24.53/16.28 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB61)) | (~v130(constB61, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB61)) | (~v130(constB61, bitIndex0)))),
% 24.53/16.28 inference(rewrite,[status(thm)],[])).
% 24.53/16.28 tff(10044,plain,
% 24.53/16.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB61)) | (~v130(constB61, bitIndex0)))),
% 24.53/16.28 inference(quant_inst,[status(thm)],[])).
% 24.53/16.28 tff(10045,plain,
% 24.53/16.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB61)) | (~v130(constB61, bitIndex0))),
% 24.53/16.28 inference(modus_ponens,[status(thm)],[10044, 10043])).
% 24.53/16.28 tff(10046,plain,
% 24.53/16.28 ($false),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[10045, 2833, 10042, 10018])).
% 24.53/16.28 tff(10047,plain,((~v121(constB59)) | (~v90(constB62, bitIndex0)) | (~v90(constB62, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 24.53/16.28 tff(10048,plain,
% 24.53/16.28 (~v90(constB62, bitIndex0)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[10047, 9920, 9613])).
% 24.53/16.28 tff(10049,plain,
% 24.53/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex0)))),
% 24.53/16.28 inference(rewrite,[status(thm)],[])).
% 24.53/16.28 tff(10050,plain,
% 24.53/16.28 (((~nextState(constB62, constB63)) | v90(constB62, bitIndex0) | v100(constB63) | (~v90(constB63, bitIndex0))) <=> (v90(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex0)))),
% 24.53/16.28 inference(rewrite,[status(thm)],[])).
% 24.53/16.28 tff(10051,plain,
% 24.53/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex0) | v100(constB63) | (~v90(constB63, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex0))))),
% 24.53/16.28 inference(monotonicity,[status(thm)],[10050])).
% 24.53/16.28 tff(10052,plain,
% 24.53/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex0) | v100(constB63) | (~v90(constB63, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex0)))),
% 24.53/16.28 inference(transitivity,[status(thm)],[10051, 10049])).
% 24.53/16.28 tff(10053,plain,
% 24.53/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex0) | v100(constB63) | (~v90(constB63, bitIndex0)))),
% 24.53/16.28 inference(quant_inst,[status(thm)],[])).
% 24.53/16.28 tff(10054,plain,
% 24.53/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex0))),
% 24.53/16.28 inference(modus_ponens,[status(thm)],[10053, 10052])).
% 24.53/16.28 tff(10055,plain,
% 24.53/16.28 (v90(constB62, bitIndex0) | v100(constB63) | (~v90(constB63, bitIndex0))),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[10054, 934, 9926])).
% 24.53/16.28 tff(10056,plain,
% 24.53/16.28 (v90(constB62, bitIndex0) | (~v90(constB63, bitIndex0))),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[10055, 9938])).
% 24.53/16.28 tff(10057,plain,
% 24.53/16.28 (~v90(constB63, bitIndex0)),
% 24.53/16.28 inference(unit_resolution,[status(thm)],[10056, 10048])).
% 24.53/16.28 tff(10058,plain,
% 24.53/16.28 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)) | v123(constB63))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)) | v123(constB63))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10059,plain,
% 24.53/16.29 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)) | v123(constB63))),
% 24.53/16.29 inference(quant_inst,[status(thm)],[])).
% 24.53/16.29 tff(10060,plain,
% 24.53/16.29 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)) | v123(constB63)),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10059, 10058])).
% 24.53/16.29 tff(10061,plain,
% 24.53/16.29 (v123(constB63)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10060, 1401, 10057, 9989, 9947])).
% 24.53/16.29 tff(10062,plain,
% 24.53/16.29 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB63)) | v115(constB63))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB63)) | v115(constB63))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10063,plain,
% 24.53/16.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB63)) | v115(constB63))),
% 24.53/16.29 inference(quant_inst,[status(thm)],[])).
% 24.53/16.29 tff(10064,plain,
% 24.53/16.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB63)) | v115(constB63)),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10063, 10062])).
% 24.53/16.29 tff(10065,plain,
% 24.53/16.29 (v115(constB63)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10064, 1412, 10061])).
% 24.53/16.29 tff(10066,plain,
% 24.53/16.29 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB63) | (~v115(constB63)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB63) | (~v115(constB63)))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10067,plain,
% 24.53/16.29 (((~v115(constB63)) | v114(constB63)) <=> (v114(constB63) | (~v115(constB63)))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10068,plain,
% 24.53/16.29 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB63)) | v114(constB63))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB63) | (~v115(constB63))))),
% 24.53/16.29 inference(monotonicity,[status(thm)],[10067])).
% 24.53/16.29 tff(10069,plain,
% 24.53/16.29 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB63)) | v114(constB63))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB63) | (~v115(constB63)))),
% 24.53/16.29 inference(transitivity,[status(thm)],[10068, 10066])).
% 24.53/16.29 tff(10070,plain,
% 24.53/16.29 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB63)) | v114(constB63))),
% 24.53/16.29 inference(quant_inst,[status(thm)],[])).
% 24.53/16.29 tff(10071,plain,
% 24.53/16.29 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB63) | (~v115(constB63))),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10070, 10069])).
% 24.53/16.29 tff(10072,plain,
% 24.53/16.29 (v114(constB63)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10071, 1022, 10065])).
% 24.53/16.29 tff(10073,plain,
% 24.53/16.29 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB63) | (~v114(constB63)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB63) | (~v114(constB63)))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10074,plain,
% 24.53/16.29 (((~v114(constB63)) | v113(constB63)) <=> (v113(constB63) | (~v114(constB63)))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10075,plain,
% 24.53/16.29 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB63)) | v113(constB63))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB63) | (~v114(constB63))))),
% 24.53/16.29 inference(monotonicity,[status(thm)],[10074])).
% 24.53/16.29 tff(10076,plain,
% 24.53/16.29 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB63)) | v113(constB63))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB63) | (~v114(constB63)))),
% 24.53/16.29 inference(transitivity,[status(thm)],[10075, 10073])).
% 24.53/16.29 tff(10077,plain,
% 24.53/16.29 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB63)) | v113(constB63))),
% 24.53/16.29 inference(quant_inst,[status(thm)],[])).
% 24.53/16.29 tff(10078,plain,
% 24.53/16.29 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB63) | (~v114(constB63))),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10077, 10076])).
% 24.53/16.29 tff(10079,plain,
% 24.53/16.29 (v113(constB63)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10078, 1036, 10072])).
% 24.53/16.29 tff(10080,assumption,(v26(constB63)), introduced(assumption)).
% 24.53/16.29 tff(10081,plain,
% 24.53/16.29 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB63))),
% 24.53/16.29 inference(quant_inst,[status(thm)],[])).
% 24.53/16.29 tff(10082,plain,
% 24.53/16.29 ($false),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10081, 797, 10080])).
% 24.53/16.29 tff(10083,plain,(~v26(constB63)), inference(lemma,lemma(discharge,[]))).
% 24.53/16.29 tff(10084,plain,
% 24.53/16.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | (~v113(constB63)) | v112(constB63))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10085,plain,
% 24.53/16.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))),
% 24.53/16.29 inference(quant_inst,[status(thm)],[])).
% 24.53/16.29 tff(10086,plain,
% 24.53/16.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | (~v113(constB63)) | v112(constB63)),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10085, 10084])).
% 24.53/16.29 tff(10087,plain,
% 24.53/16.29 ((~v113(constB63)) | v112(constB63)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10086, 1050, 10083])).
% 24.53/16.29 tff(10088,plain,
% 24.53/16.29 (v112(constB63)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10087, 10079])).
% 24.53/16.29 tff(10089,plain,
% 24.53/16.29 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB63) | (~v112(constB63)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v112(constB63)))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10090,plain,
% 24.53/16.29 (((~v112(constB63)) | v108(constB63)) <=> (v108(constB63) | (~v112(constB63)))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10091,plain,
% 24.53/16.29 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB63)) | v108(constB63))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB63) | (~v112(constB63))))),
% 24.53/16.29 inference(monotonicity,[status(thm)],[10090])).
% 24.53/16.29 tff(10092,plain,
% 24.53/16.29 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB63)) | v108(constB63))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v112(constB63)))),
% 24.53/16.29 inference(transitivity,[status(thm)],[10091, 10089])).
% 24.53/16.29 tff(10093,plain,
% 24.53/16.29 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB63)) | v108(constB63))),
% 24.53/16.29 inference(quant_inst,[status(thm)],[])).
% 24.53/16.29 tff(10094,plain,
% 24.53/16.29 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v112(constB63))),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10093, 10092])).
% 24.53/16.29 tff(10095,plain,
% 24.53/16.29 (v108(constB63)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10094, 1062, 10088])).
% 24.53/16.29 tff(10096,plain,
% 24.53/16.29 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10097,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_63_1')).
% 24.53/16.29 tff(10098,plain,
% 24.53/16.29 (nextState(constB63, constB64)),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10097, 10096])).
% 24.53/16.29 tff(10099,plain,
% 24.53/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10100,plain,
% 24.53/16.29 (((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64)) <=> ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10101,plain,
% 24.53/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63))))),
% 24.53/16.29 inference(monotonicity,[status(thm)],[10100])).
% 24.53/16.29 tff(10102,plain,
% 24.53/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 24.53/16.29 inference(transitivity,[status(thm)],[10101, 10099])).
% 24.53/16.29 tff(10103,plain,
% 24.53/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))),
% 24.53/16.29 inference(quant_inst,[status(thm)],[])).
% 24.53/16.29 tff(10104,plain,
% 24.53/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63))),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10103, 10102])).
% 24.53/16.29 tff(10105,plain,
% 24.53/16.29 (v110(constB64) | (~v108(constB63))),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10104, 1082, 10098])).
% 24.53/16.29 tff(10106,plain,
% 24.53/16.29 (v110(constB64)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10105, 10095])).
% 24.53/16.29 tff(10107,plain,
% 24.53/16.29 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10108,plain,
% 24.53/16.29 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))),
% 24.53/16.29 inference(quant_inst,[status(thm)],[])).
% 24.53/16.29 tff(10109,plain,
% 24.53/16.29 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64))),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10108, 10107])).
% 24.53/16.29 tff(10110,plain,
% 24.53/16.29 (~v104(constB64)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10109, 1100, 10098, 9923])).
% 24.53/16.29 tff(10111,plain,
% 24.53/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10112,plain,
% 24.53/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))),
% 24.53/16.29 inference(quant_inst,[status(thm)],[])).
% 24.53/16.29 tff(10113,plain,
% 24.53/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v102(constB64) | v104(constB64)),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10112, 10111])).
% 24.53/16.29 tff(10114,plain,
% 24.53/16.29 (v102(constB64) | v104(constB64)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10113, 1114, 10098])).
% 24.53/16.29 tff(10115,plain,
% 24.53/16.29 (v102(constB64)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10114, 10110])).
% 24.53/16.29 tff(10116,plain,
% 24.53/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10117,plain,
% 24.53/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))),
% 24.53/16.29 inference(quant_inst,[status(thm)],[])).
% 24.53/16.29 tff(10118,plain,
% 24.53/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64))),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10117, 10116])).
% 24.53/16.29 tff(10119,plain,
% 24.53/16.29 (v101(constB64) | (~v102(constB64))),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10118, 1129, 10098, 669])).
% 24.53/16.29 tff(10120,plain,
% 24.53/16.29 (v101(constB64)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10119, 10115])).
% 24.53/16.29 tff(10121,plain,
% 24.53/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10122,plain,
% 24.53/16.29 (((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64)) <=> ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10123,plain,
% 24.53/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64))))),
% 24.53/16.29 inference(monotonicity,[status(thm)],[10122])).
% 24.53/16.29 tff(10124,plain,
% 24.53/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 24.53/16.29 inference(transitivity,[status(thm)],[10123, 10121])).
% 24.53/16.29 tff(10125,plain,
% 24.53/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))),
% 24.53/16.29 inference(quant_inst,[status(thm)],[])).
% 24.53/16.29 tff(10126,plain,
% 24.53/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10125, 10124])).
% 24.53/16.29 tff(10127,plain,
% 24.53/16.29 (v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10126, 1144, 10098])).
% 24.53/16.29 tff(10128,plain,
% 24.53/16.29 (v100(constB64) | (~v110(constB64))),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10127, 10120])).
% 24.53/16.29 tff(10129,plain,
% 24.53/16.29 (v100(constB64)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10128, 10106])).
% 24.53/16.29 tff(10130,plain,
% 24.53/16.29 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB63)) | v130(constB63, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB63)) | v130(constB63, bitIndex2))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10131,plain,
% 24.53/16.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB63)) | v130(constB63, bitIndex2))),
% 24.53/16.29 inference(quant_inst,[status(thm)],[])).
% 24.53/16.29 tff(10132,plain,
% 24.53/16.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB63)) | v130(constB63, bitIndex2)),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10131, 10130])).
% 24.53/16.29 tff(10133,plain,
% 24.53/16.29 (v130(constB63, bitIndex2)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10132, 1483, 10061])).
% 24.53/16.29 tff(10134,plain,
% 24.53/16.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB63) | (~v130(constB63, bitIndex2)) | v127(constB63, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB63) | (~v130(constB63, bitIndex2)) | v127(constB63, bitIndex2))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10135,plain,
% 24.53/16.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB63) | (~v130(constB63, bitIndex2)) | v127(constB63, bitIndex2))),
% 24.53/16.29 inference(quant_inst,[status(thm)],[])).
% 24.53/16.29 tff(10136,plain,
% 24.53/16.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB63) | (~v130(constB63, bitIndex2)) | v127(constB63, bitIndex2)),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10135, 10134])).
% 24.53/16.29 tff(10137,plain,
% 24.53/16.29 ((~v130(constB63, bitIndex2)) | v127(constB63, bitIndex2)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10136, 1174, 10083])).
% 24.53/16.29 tff(10138,plain,
% 24.53/16.29 (v127(constB63, bitIndex2)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10137, 10133])).
% 24.53/16.29 tff(10139,plain,
% 24.53/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex2)) | v129(constB64, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex2)) | v129(constB64, bitIndex2))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10140,plain,
% 24.53/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex2)) | v129(constB64, bitIndex2))),
% 24.53/16.29 inference(quant_inst,[status(thm)],[])).
% 24.53/16.29 tff(10141,plain,
% 24.53/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex2)) | v129(constB64, bitIndex2)),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10140, 10139])).
% 24.53/16.29 tff(10142,plain,
% 24.53/16.29 ((~v127(constB63, bitIndex2)) | v129(constB64, bitIndex2)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10141, 1189, 10098])).
% 24.53/16.29 tff(10143,plain,
% 24.53/16.29 (v129(constB64, bitIndex2)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10142, 10138])).
% 24.53/16.29 tff(10144,plain,
% 24.53/16.29 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64)))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10145,plain,
% 24.53/16.29 ((v90(constB64, bitIndex2) | (~v100(constB64)) | (~v129(constB64, bitIndex2))) <=> (v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64)))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10146,plain,
% 24.53/16.29 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~v100(constB64)) | (~v129(constB64, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64))))),
% 24.53/16.29 inference(monotonicity,[status(thm)],[10145])).
% 24.53/16.29 tff(10147,plain,
% 24.53/16.29 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~v100(constB64)) | (~v129(constB64, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64)))),
% 24.53/16.29 inference(transitivity,[status(thm)],[10146, 10144])).
% 24.53/16.29 tff(10148,plain,
% 24.53/16.29 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~v100(constB64)) | (~v129(constB64, bitIndex2)))),
% 24.53/16.29 inference(quant_inst,[status(thm)],[])).
% 24.53/16.29 tff(10149,plain,
% 24.53/16.29 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64))),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10148, 10147])).
% 24.53/16.29 tff(10150,plain,
% 24.53/16.29 (v90(constB64, bitIndex2) | (~v100(constB64))),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10149, 1204, 10143])).
% 24.53/16.29 tff(10151,plain,
% 24.53/16.29 (v90(constB64, bitIndex2)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10150, 10129])).
% 24.53/16.29 tff(10152,plain,
% 24.53/16.29 ((~v1(constB65)) <=> (~v1(constB65))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10153,axiom,(~v1(constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_65_1_1')).
% 24.53/16.29 tff(10154,plain,
% 24.53/16.29 (~v1(constB65)),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10153, 10152])).
% 24.53/16.29 tff(10155,plain,
% 24.53/16.29 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10156,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_64_1')).
% 24.53/16.29 tff(10157,plain,
% 24.53/16.29 (nextState(constB64, constB65)),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10156, 10155])).
% 24.53/16.29 tff(10158,plain,
% 24.53/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10159,plain,
% 24.53/16.29 (((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65)) <=> (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10160,plain,
% 24.53/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65))))),
% 24.53/16.29 inference(monotonicity,[status(thm)],[10159])).
% 24.53/16.29 tff(10161,plain,
% 24.53/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 24.53/16.29 inference(transitivity,[status(thm)],[10160, 10158])).
% 24.53/16.29 tff(10162,plain,
% 24.53/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))),
% 24.53/16.29 inference(quant_inst,[status(thm)],[])).
% 24.53/16.29 tff(10163,plain,
% 24.53/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65))),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10162, 10161])).
% 24.53/16.29 tff(10164,plain,
% 24.53/16.29 (~v101(constB65)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10163, 860, 10157, 10154])).
% 24.53/16.29 tff(10165,plain,
% 24.53/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10166,plain,
% 24.53/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))),
% 24.53/16.29 inference(quant_inst,[status(thm)],[])).
% 24.53/16.29 tff(10167,plain,
% 24.53/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65))),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10166, 10165])).
% 24.53/16.29 tff(10168,plain,
% 24.53/16.29 (v101(constB65) | (~v100(constB65))),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10167, 877, 10157])).
% 24.53/16.29 tff(10169,plain,
% 24.53/16.29 (~v100(constB65)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10168, 10164])).
% 24.53/16.29 tff(10170,plain,
% 24.53/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex2))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10171,plain,
% 24.53/16.29 (((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex2)) | v100(constB65) | v90(constB65, bitIndex2)) <=> ((~v90(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex2))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10172,plain,
% 24.53/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex2)) | v100(constB65) | v90(constB65, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex2)))),
% 24.53/16.29 inference(monotonicity,[status(thm)],[10171])).
% 24.53/16.29 tff(10173,plain,
% 24.53/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex2)) | v100(constB65) | v90(constB65, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex2))),
% 24.53/16.29 inference(transitivity,[status(thm)],[10172, 10170])).
% 24.53/16.29 tff(10174,plain,
% 24.53/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex2)) | v100(constB65) | v90(constB65, bitIndex2))),
% 24.53/16.29 inference(quant_inst,[status(thm)],[])).
% 24.53/16.29 tff(10175,plain,
% 24.53/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex2)),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10174, 10173])).
% 24.53/16.29 tff(10176,plain,
% 24.53/16.29 ((~v90(constB64, bitIndex2)) | v100(constB65) | v90(constB65, bitIndex2)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10175, 1240, 10157])).
% 24.53/16.29 tff(10177,plain,
% 24.53/16.29 ((~v90(constB64, bitIndex2)) | v90(constB65, bitIndex2)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10176, 10169])).
% 24.53/16.29 tff(10178,plain,
% 24.53/16.29 (v90(constB65, bitIndex2)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10177, 10151])).
% 24.53/16.29 tff(10179,plain,
% 24.53/16.29 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB65)) | (~v90(constB65, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB65)) | (~v90(constB65, bitIndex2)))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10180,plain,
% 24.53/16.29 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB65)) | (~v90(constB65, bitIndex2)))),
% 24.53/16.29 inference(quant_inst,[status(thm)],[])).
% 24.53/16.29 tff(10181,plain,
% 24.53/16.29 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB65)) | (~v90(constB65, bitIndex2))),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10180, 10179])).
% 24.53/16.29 tff(10182,plain,
% 24.53/16.29 (~v121(constB65)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10181, 1729, 10178])).
% 24.53/16.29 tff(10183,plain,
% 24.53/16.29 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB65)) | (~v90(constB65, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB65)) | (~v90(constB65, bitIndex2)))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10184,plain,
% 24.53/16.29 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB65)) | (~v90(constB65, bitIndex2)))),
% 24.53/16.29 inference(quant_inst,[status(thm)],[])).
% 24.53/16.29 tff(10185,plain,
% 24.53/16.29 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB65)) | (~v90(constB65, bitIndex2))),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10184, 10183])).
% 24.53/16.29 tff(10186,plain,
% 24.53/16.29 (~v122(constB65)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10185, 1740, 10178])).
% 24.53/16.29 tff(10187,plain,
% 24.53/16.29 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB63)) | v130(constB63, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB63)) | v130(constB63, bitIndex1))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10188,plain,
% 24.53/16.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB63)) | v130(constB63, bitIndex1))),
% 24.53/16.29 inference(quant_inst,[status(thm)],[])).
% 24.53/16.29 tff(10189,plain,
% 24.53/16.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB63)) | v130(constB63, bitIndex1)),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10188, 10187])).
% 24.53/16.29 tff(10190,plain,
% 24.53/16.29 (v130(constB63, bitIndex1)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10189, 1539, 10061])).
% 24.53/16.29 tff(10191,plain,
% 24.53/16.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10192,plain,
% 24.53/16.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1))),
% 24.53/16.29 inference(quant_inst,[status(thm)],[])).
% 24.53/16.29 tff(10193,plain,
% 24.53/16.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1)),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10192, 10191])).
% 24.53/16.29 tff(10194,plain,
% 24.53/16.29 ((~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10193, 1553, 10083])).
% 24.53/16.29 tff(10195,plain,
% 24.53/16.29 (v127(constB63, bitIndex1)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10194, 10190])).
% 24.53/16.29 tff(10196,plain,
% 24.53/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10197,plain,
% 24.53/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1))),
% 24.53/16.29 inference(quant_inst,[status(thm)],[])).
% 24.53/16.29 tff(10198,plain,
% 24.53/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1)),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10197, 10196])).
% 24.53/16.29 tff(10199,plain,
% 24.53/16.29 ((~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10198, 1568, 10098])).
% 24.53/16.29 tff(10200,plain,
% 24.53/16.29 (v129(constB64, bitIndex1)),
% 24.53/16.29 inference(unit_resolution,[status(thm)],[10199, 10195])).
% 24.53/16.29 tff(10201,plain,
% 24.53/16.29 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10202,plain,
% 24.53/16.29 ((v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1))) <=> (v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))),
% 24.53/16.29 inference(rewrite,[status(thm)],[])).
% 24.53/16.29 tff(10203,plain,
% 24.53/16.29 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64))))),
% 24.53/16.29 inference(monotonicity,[status(thm)],[10202])).
% 24.53/16.29 tff(10204,plain,
% 24.53/16.29 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))),
% 24.53/16.29 inference(transitivity,[status(thm)],[10203, 10201])).
% 24.53/16.29 tff(10205,plain,
% 24.53/16.29 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1)))),
% 24.53/16.29 inference(quant_inst,[status(thm)],[])).
% 24.53/16.29 tff(10206,plain,
% 24.53/16.29 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64))),
% 24.53/16.29 inference(modus_ponens,[status(thm)],[10205, 10204])).
% 24.53/16.29 tff(10207,plain,
% 24.53/16.29 (v90(constB64, bitIndex1) | (~v100(constB64))),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10206, 1583, 10200])).
% 24.53/16.30 tff(10208,plain,
% 24.53/16.30 (v90(constB64, bitIndex1)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10207, 10129])).
% 24.53/16.30 tff(10209,plain,
% 24.53/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10210,plain,
% 24.53/16.30 (((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1)) <=> ((~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10211,plain,
% 24.53/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1)))),
% 24.53/16.30 inference(monotonicity,[status(thm)],[10210])).
% 24.53/16.30 tff(10212,plain,
% 24.53/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))),
% 24.53/16.30 inference(transitivity,[status(thm)],[10211, 10209])).
% 24.53/16.30 tff(10213,plain,
% 24.53/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1))),
% 24.53/16.30 inference(quant_inst,[status(thm)],[])).
% 24.53/16.30 tff(10214,plain,
% 24.53/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1)),
% 24.53/16.30 inference(modus_ponens,[status(thm)],[10213, 10212])).
% 24.53/16.30 tff(10215,plain,
% 24.53/16.30 ((~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10214, 1601, 10157])).
% 24.53/16.30 tff(10216,plain,
% 24.53/16.30 ((~v90(constB64, bitIndex1)) | v90(constB65, bitIndex1)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10215, 10169])).
% 24.53/16.30 tff(10217,plain,
% 24.53/16.30 (v90(constB65, bitIndex1)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10216, 10208])).
% 24.53/16.30 tff(10218,plain,
% 24.53/16.30 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB65)) | (~v90(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB65)) | (~v90(constB65, bitIndex1)))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10219,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB65)) | (~v90(constB65, bitIndex1)))),
% 24.53/16.30 inference(quant_inst,[status(thm)],[])).
% 24.53/16.30 tff(10220,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB65)) | (~v90(constB65, bitIndex1))),
% 24.53/16.30 inference(modus_ponens,[status(thm)],[10219, 10218])).
% 24.53/16.30 tff(10221,plain,
% 24.53/16.30 (~v120(constB65)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10220, 1762, 10217])).
% 24.53/16.30 tff(10222,plain,
% 24.53/16.30 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB65)) | (~v90(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB65)) | (~v90(constB65, bitIndex1)))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10223,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB65)) | (~v90(constB65, bitIndex1)))),
% 24.53/16.30 inference(quant_inst,[status(thm)],[])).
% 24.53/16.30 tff(10224,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB65)) | (~v90(constB65, bitIndex1))),
% 24.53/16.30 inference(modus_ponens,[status(thm)],[10223, 10222])).
% 24.53/16.30 tff(10225,plain,
% 24.53/16.30 (~v123(constB65)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10224, 1773, 10217])).
% 24.53/16.30 tff(10226,plain,
% 24.53/16.30 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB65)) | (~v90(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB65)) | (~v90(constB65, bitIndex1)))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10227,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB65)) | (~v90(constB65, bitIndex1)))),
% 24.53/16.30 inference(quant_inst,[status(thm)],[])).
% 24.53/16.30 tff(10228,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB65)) | (~v90(constB65, bitIndex1))),
% 24.53/16.30 inference(modus_ponens,[status(thm)],[10227, 10226])).
% 24.53/16.30 tff(10229,plain,
% 24.53/16.30 (~v124(constB65)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10228, 1784, 10217])).
% 24.53/16.30 tff(10230,plain,
% 24.53/16.30 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB65)) | (~v90(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB65)) | (~v90(constB65, bitIndex1)))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10231,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB65)) | (~v90(constB65, bitIndex1)))),
% 24.53/16.30 inference(quant_inst,[status(thm)],[])).
% 24.53/16.30 tff(10232,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB65)) | (~v90(constB65, bitIndex1))),
% 24.53/16.30 inference(modus_ponens,[status(thm)],[10231, 10230])).
% 24.53/16.30 tff(10233,plain,
% 24.53/16.30 (~v119(constB65)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10232, 1751, 10217])).
% 24.53/16.30 tff(10234,plain,
% 24.53/16.30 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex2)))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10235,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex2)))),
% 24.53/16.30 inference(quant_inst,[status(thm)],[])).
% 24.53/16.30 tff(10236,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex2))),
% 24.53/16.30 inference(modus_ponens,[status(thm)],[10235, 10234])).
% 24.53/16.30 tff(10237,plain,
% 24.53/16.30 (~v130(constB65, bitIndex2)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10236, 1798, 10233, 10229, 10225, 10221, 10186, 10182])).
% 24.53/16.30 tff(10238,assumption,(v26(constB65)), introduced(assumption)).
% 24.53/16.30 tff(10239,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB65))),
% 24.53/16.30 inference(quant_inst,[status(thm)],[])).
% 24.53/16.30 tff(10240,plain,
% 24.53/16.30 ($false),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10239, 797, 10238])).
% 24.53/16.30 tff(10241,plain,(~v26(constB65)), inference(lemma,lemma(discharge,[]))).
% 24.53/16.30 tff(10242,plain,
% 24.53/16.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10243,plain,
% 24.53/16.30 ((v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2))) <=> ((~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10244,plain,
% 24.53/16.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2)))),
% 24.53/16.30 inference(monotonicity,[status(thm)],[10243])).
% 24.53/16.30 tff(10245,plain,
% 24.53/16.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))),
% 24.53/16.30 inference(transitivity,[status(thm)],[10244, 10242])).
% 24.53/16.30 tff(10246,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2)))),
% 24.53/16.30 inference(quant_inst,[status(thm)],[])).
% 24.53/16.30 tff(10247,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2)),
% 24.53/16.30 inference(modus_ponens,[status(thm)],[10246, 10245])).
% 24.53/16.30 tff(10248,plain,
% 24.53/16.30 ((~v127(constB65, bitIndex2)) | v130(constB65, bitIndex2)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10247, 1812, 10241])).
% 24.53/16.30 tff(10249,plain,
% 24.53/16.30 (~v127(constB65, bitIndex2)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10248, 10237])).
% 24.53/16.30 tff(10250,plain,
% 24.53/16.30 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10251,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_65_1')).
% 24.53/16.30 tff(10252,plain,
% 24.53/16.30 (nextState(constB65, constB66)),
% 24.53/16.30 inference(modus_ponens,[status(thm)],[10251, 10250])).
% 24.53/16.30 tff(10253,plain,
% 24.53/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2)))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10254,plain,
% 24.53/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2)))),
% 24.53/16.30 inference(quant_inst,[status(thm)],[])).
% 24.53/16.30 tff(10255,plain,
% 24.53/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2))),
% 24.53/16.30 inference(modus_ponens,[status(thm)],[10254, 10253])).
% 24.53/16.30 tff(10256,plain,
% 24.53/16.30 (v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2))),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10255, 1830, 10252])).
% 24.53/16.30 tff(10257,plain,
% 24.53/16.30 (~v129(constB66, bitIndex2)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10256, 10249])).
% 24.53/16.30 tff(10258,plain,
% 24.53/16.30 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB63)) | (~v130(constB63, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB63)) | (~v130(constB63, bitIndex0)))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10259,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB63)) | (~v130(constB63, bitIndex0)))),
% 24.53/16.30 inference(quant_inst,[status(thm)],[])).
% 24.53/16.30 tff(10260,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB63)) | (~v130(constB63, bitIndex0))),
% 24.53/16.30 inference(modus_ponens,[status(thm)],[10259, 10258])).
% 24.53/16.30 tff(10261,plain,
% 24.53/16.30 (~v130(constB63, bitIndex0)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10260, 1617, 10061])).
% 24.53/16.30 tff(10262,plain,
% 24.53/16.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10263,plain,
% 24.53/16.30 ((v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0))) <=> ((~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10264,plain,
% 24.53/16.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0)))),
% 24.53/16.30 inference(monotonicity,[status(thm)],[10263])).
% 24.53/16.30 tff(10265,plain,
% 24.53/16.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))),
% 24.53/16.30 inference(transitivity,[status(thm)],[10264, 10262])).
% 24.53/16.30 tff(10266,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0)))),
% 24.53/16.30 inference(quant_inst,[status(thm)],[])).
% 24.53/16.30 tff(10267,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0)),
% 24.53/16.30 inference(modus_ponens,[status(thm)],[10266, 10265])).
% 24.53/16.30 tff(10268,plain,
% 24.53/16.30 ((~v127(constB63, bitIndex0)) | v130(constB63, bitIndex0)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10267, 1341, 10083])).
% 24.53/16.30 tff(10269,plain,
% 24.53/16.30 (~v127(constB63, bitIndex0)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10268, 10261])).
% 24.53/16.30 tff(10270,plain,
% 24.53/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0)))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10271,plain,
% 24.53/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0)))),
% 24.53/16.30 inference(quant_inst,[status(thm)],[])).
% 24.53/16.30 tff(10272,plain,
% 24.53/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0))),
% 24.53/16.30 inference(modus_ponens,[status(thm)],[10271, 10270])).
% 24.53/16.30 tff(10273,plain,
% 24.53/16.30 (v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0))),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10272, 1359, 10098])).
% 24.53/16.30 tff(10274,plain,
% 24.53/16.30 (~v129(constB64, bitIndex0)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10273, 10269])).
% 24.53/16.30 tff(10275,plain,
% 24.53/16.30 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10276,plain,
% 24.53/16.30 (((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0)) <=> ((~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10277,plain,
% 24.53/16.30 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64))))),
% 24.53/16.30 inference(monotonicity,[status(thm)],[10276])).
% 24.53/16.30 tff(10278,plain,
% 24.53/16.30 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))),
% 24.53/16.30 inference(transitivity,[status(thm)],[10277, 10275])).
% 24.53/16.30 tff(10279,plain,
% 24.53/16.30 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0))),
% 24.53/16.30 inference(quant_inst,[status(thm)],[])).
% 24.53/16.30 tff(10280,plain,
% 24.53/16.30 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64))),
% 24.53/16.30 inference(modus_ponens,[status(thm)],[10279, 10278])).
% 24.53/16.30 tff(10281,plain,
% 24.53/16.30 ((~v90(constB64, bitIndex0)) | (~v100(constB64))),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10280, 1374, 10274])).
% 24.53/16.30 tff(10282,plain,
% 24.53/16.30 (~v90(constB64, bitIndex0)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10281, 10129])).
% 24.53/16.30 tff(10283,plain,
% 24.53/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10284,plain,
% 24.53/16.30 (((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0))) <=> (v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10285,plain,
% 24.53/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0))))),
% 24.53/16.30 inference(monotonicity,[status(thm)],[10284])).
% 24.53/16.30 tff(10286,plain,
% 24.53/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 24.53/16.30 inference(transitivity,[status(thm)],[10285, 10283])).
% 24.53/16.30 tff(10287,plain,
% 24.53/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 24.53/16.30 inference(quant_inst,[status(thm)],[])).
% 24.53/16.30 tff(10288,plain,
% 24.53/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0))),
% 24.53/16.30 inference(modus_ponens,[status(thm)],[10287, 10286])).
% 24.53/16.30 tff(10289,plain,
% 24.53/16.30 (v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0))),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10288, 934, 10157])).
% 24.53/16.30 tff(10290,plain,
% 24.53/16.30 (v90(constB64, bitIndex0) | (~v90(constB65, bitIndex0))),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10289, 10169])).
% 24.53/16.30 tff(10291,plain,
% 24.53/16.30 (~v90(constB65, bitIndex0)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10290, 10282])).
% 24.53/16.30 tff(10292,plain,
% 24.53/16.30 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2)) | v125(constB65))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2)) | v125(constB65))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10293,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2)) | v125(constB65))),
% 24.53/16.30 inference(quant_inst,[status(thm)],[])).
% 24.53/16.30 tff(10294,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2)) | v125(constB65)),
% 24.53/16.30 inference(modus_ponens,[status(thm)],[10293, 10292])).
% 24.53/16.30 tff(10295,plain,
% 24.53/16.30 (v125(constB65)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10294, 1661, 10291, 10217, 10178])).
% 24.53/16.30 tff(10296,plain,
% 24.53/16.30 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB65)) | v113(constB65))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB65)) | v113(constB65))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10297,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB65)) | v113(constB65))),
% 24.53/16.30 inference(quant_inst,[status(thm)],[])).
% 24.53/16.30 tff(10298,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB65)) | v113(constB65)),
% 24.53/16.30 inference(modus_ponens,[status(thm)],[10297, 10296])).
% 24.53/16.30 tff(10299,plain,
% 24.53/16.30 (v113(constB65)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10298, 1672, 10295])).
% 24.53/16.30 tff(10300,assumption,(~v108(constB65)), introduced(assumption)).
% 24.53/16.30 tff(10301,plain,
% 24.53/16.30 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB65) | (~v112(constB65)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v112(constB65)))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10302,plain,
% 24.53/16.30 (((~v112(constB65)) | v108(constB65)) <=> (v108(constB65) | (~v112(constB65)))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10303,plain,
% 24.53/16.30 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB65)) | v108(constB65))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB65) | (~v112(constB65))))),
% 24.53/16.30 inference(monotonicity,[status(thm)],[10302])).
% 24.53/16.30 tff(10304,plain,
% 24.53/16.30 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB65)) | v108(constB65))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v112(constB65)))),
% 24.53/16.30 inference(transitivity,[status(thm)],[10303, 10301])).
% 24.53/16.30 tff(10305,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB65)) | v108(constB65))),
% 24.53/16.30 inference(quant_inst,[status(thm)],[])).
% 24.53/16.30 tff(10306,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v112(constB65))),
% 24.53/16.30 inference(modus_ponens,[status(thm)],[10305, 10304])).
% 24.53/16.30 tff(10307,plain,
% 24.53/16.30 (~v112(constB65)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10306, 1062, 10300])).
% 24.53/16.30 tff(10308,plain,
% 24.53/16.30 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB65) | (~v26(constB65)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v26(constB65)))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10309,plain,
% 24.53/16.30 (((~v26(constB65)) | v108(constB65)) <=> (v108(constB65) | (~v26(constB65)))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10310,plain,
% 24.53/16.30 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB65)) | v108(constB65))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB65) | (~v26(constB65))))),
% 24.53/16.30 inference(monotonicity,[status(thm)],[10309])).
% 24.53/16.30 tff(10311,plain,
% 24.53/16.30 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB65)) | v108(constB65))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v26(constB65)))),
% 24.53/16.30 inference(transitivity,[status(thm)],[10310, 10308])).
% 24.53/16.30 tff(10312,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB65)) | v108(constB65))),
% 24.53/16.30 inference(quant_inst,[status(thm)],[])).
% 24.53/16.30 tff(10313,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v26(constB65))),
% 24.53/16.30 inference(modus_ponens,[status(thm)],[10312, 10311])).
% 24.53/16.30 tff(10314,plain,
% 24.53/16.30 (~v26(constB65)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10313, 2441, 10300])).
% 24.53/16.30 tff(10315,assumption,(v113(constB65)), introduced(assumption)).
% 24.53/16.30 tff(10316,plain,
% 24.53/16.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | (~v113(constB65)) | v112(constB65))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10317,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))),
% 24.53/16.30 inference(quant_inst,[status(thm)],[])).
% 24.53/16.30 tff(10318,plain,
% 24.53/16.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | (~v113(constB65)) | v112(constB65)),
% 24.53/16.30 inference(modus_ponens,[status(thm)],[10317, 10316])).
% 24.53/16.30 tff(10319,plain,
% 24.53/16.30 (v26(constB65) | v112(constB65)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10318, 1050, 10315])).
% 24.53/16.30 tff(10320,plain,
% 24.53/16.30 ($false),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10319, 10314, 10307])).
% 24.53/16.30 tff(10321,plain,(v108(constB65) | (~v113(constB65))), inference(lemma,lemma(discharge,[]))).
% 24.53/16.30 tff(10322,plain,
% 24.53/16.30 (v108(constB65)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10321, 10299])).
% 24.53/16.30 tff(10323,plain,
% 24.53/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10324,plain,
% 24.53/16.30 (((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66)) <=> ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10325,plain,
% 24.53/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65))))),
% 24.53/16.30 inference(monotonicity,[status(thm)],[10324])).
% 24.53/16.30 tff(10326,plain,
% 24.53/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 24.53/16.30 inference(transitivity,[status(thm)],[10325, 10323])).
% 24.53/16.30 tff(10327,plain,
% 24.53/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))),
% 24.53/16.30 inference(quant_inst,[status(thm)],[])).
% 24.53/16.30 tff(10328,plain,
% 24.53/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65))),
% 24.53/16.30 inference(modus_ponens,[status(thm)],[10327, 10326])).
% 24.53/16.30 tff(10329,plain,
% 24.53/16.30 (v110(constB66) | (~v108(constB65))),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10328, 1082, 10252])).
% 24.53/16.30 tff(10330,plain,
% 24.53/16.30 (v110(constB66)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10329, 10322])).
% 24.53/16.30 tff(10331,plain,
% 24.53/16.30 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))),
% 24.53/16.30 inference(rewrite,[status(thm)],[])).
% 24.53/16.30 tff(10332,plain,
% 24.53/16.30 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))),
% 24.53/16.30 inference(quant_inst,[status(thm)],[])).
% 24.53/16.30 tff(10333,plain,
% 24.53/16.30 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66))),
% 24.53/16.30 inference(modus_ponens,[status(thm)],[10332, 10331])).
% 24.53/16.30 tff(10334,plain,
% 24.53/16.30 (~v104(constB66)),
% 24.53/16.30 inference(unit_resolution,[status(thm)],[10333, 1100, 10252, 10154])).
% 24.53/16.30 tff(10335,plain,
% 24.53/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10336,plain,
% 24.53/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))),
% 24.53/16.31 inference(quant_inst,[status(thm)],[])).
% 24.53/16.31 tff(10337,plain,
% 24.53/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v102(constB66) | v104(constB66)),
% 24.53/16.31 inference(modus_ponens,[status(thm)],[10336, 10335])).
% 24.53/16.31 tff(10338,plain,
% 24.53/16.31 (v102(constB66) | v104(constB66)),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10337, 1114, 10252])).
% 24.53/16.31 tff(10339,plain,
% 24.53/16.31 (v102(constB66)),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10338, 10334])).
% 24.53/16.31 tff(10340,plain,
% 24.53/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10341,plain,
% 24.53/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))),
% 24.53/16.31 inference(quant_inst,[status(thm)],[])).
% 24.53/16.31 tff(10342,plain,
% 24.53/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66))),
% 24.53/16.31 inference(modus_ponens,[status(thm)],[10341, 10340])).
% 24.53/16.31 tff(10343,plain,
% 24.53/16.31 (v101(constB66) | (~v102(constB66))),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10342, 1129, 10252, 306])).
% 24.53/16.31 tff(10344,plain,
% 24.53/16.31 (v101(constB66)),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10343, 10339])).
% 24.53/16.31 tff(10345,plain,
% 24.53/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10346,plain,
% 24.53/16.31 (((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66)) <=> ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10347,plain,
% 24.53/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66))))),
% 24.53/16.31 inference(monotonicity,[status(thm)],[10346])).
% 24.53/16.31 tff(10348,plain,
% 24.53/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 24.53/16.31 inference(transitivity,[status(thm)],[10347, 10345])).
% 24.53/16.31 tff(10349,plain,
% 24.53/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))),
% 24.53/16.31 inference(quant_inst,[status(thm)],[])).
% 24.53/16.31 tff(10350,plain,
% 24.53/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 24.53/16.31 inference(modus_ponens,[status(thm)],[10349, 10348])).
% 24.53/16.31 tff(10351,plain,
% 24.53/16.31 (v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10350, 1144, 10252])).
% 24.53/16.31 tff(10352,plain,
% 24.53/16.31 (v100(constB66) | (~v110(constB66))),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10351, 10344])).
% 24.53/16.31 tff(10353,plain,
% 24.53/16.31 (v100(constB66)),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10352, 10330])).
% 24.53/16.31 tff(10354,plain,
% 24.53/16.31 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10355,plain,
% 24.53/16.31 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))),
% 24.53/16.31 inference(quant_inst,[status(thm)],[])).
% 24.53/16.31 tff(10356,plain,
% 24.53/16.31 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66))),
% 24.53/16.31 inference(modus_ponens,[status(thm)],[10355, 10354])).
% 24.53/16.31 tff(10357,plain,
% 24.53/16.31 (~v90(constB66, bitIndex2)),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10356, 1845, 10353, 10257])).
% 24.53/16.31 tff(10358,plain,
% 24.53/16.31 ((~v1(constB67)) <=> (~v1(constB67))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10359,axiom,(~v1(constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_67_1_1')).
% 24.53/16.31 tff(10360,plain,
% 24.53/16.31 (~v1(constB67)),
% 24.53/16.31 inference(modus_ponens,[status(thm)],[10359, 10358])).
% 24.53/16.31 tff(10361,plain,
% 24.53/16.31 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10362,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_66_1')).
% 24.53/16.31 tff(10363,plain,
% 24.53/16.31 (nextState(constB66, constB67)),
% 24.53/16.31 inference(modus_ponens,[status(thm)],[10362, 10361])).
% 24.53/16.31 tff(10364,plain,
% 24.53/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10365,plain,
% 24.53/16.31 (((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67)) <=> (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10366,plain,
% 24.53/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67))))),
% 24.53/16.31 inference(monotonicity,[status(thm)],[10365])).
% 24.53/16.31 tff(10367,plain,
% 24.53/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 24.53/16.31 inference(transitivity,[status(thm)],[10366, 10364])).
% 24.53/16.31 tff(10368,plain,
% 24.53/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))),
% 24.53/16.31 inference(quant_inst,[status(thm)],[])).
% 24.53/16.31 tff(10369,plain,
% 24.53/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67))),
% 24.53/16.31 inference(modus_ponens,[status(thm)],[10368, 10367])).
% 24.53/16.31 tff(10370,plain,
% 24.53/16.31 (~v101(constB67)),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10369, 860, 10363, 10360])).
% 24.53/16.31 tff(10371,plain,
% 24.53/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10372,plain,
% 24.53/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))),
% 24.53/16.31 inference(quant_inst,[status(thm)],[])).
% 24.53/16.31 tff(10373,plain,
% 24.53/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67))),
% 24.53/16.31 inference(modus_ponens,[status(thm)],[10372, 10371])).
% 24.53/16.31 tff(10374,plain,
% 24.53/16.31 (v101(constB67) | (~v100(constB67))),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10373, 877, 10363])).
% 24.53/16.31 tff(10375,plain,
% 24.53/16.31 (~v100(constB67)),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10374, 10370])).
% 24.53/16.31 tff(10376,plain,
% 24.53/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10377,plain,
% 24.53/16.31 (((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2))) <=> (v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10378,plain,
% 24.53/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2))))),
% 24.53/16.31 inference(monotonicity,[status(thm)],[10377])).
% 24.53/16.31 tff(10379,plain,
% 24.53/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 24.53/16.31 inference(transitivity,[status(thm)],[10378, 10376])).
% 24.53/16.31 tff(10380,plain,
% 24.53/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 24.53/16.31 inference(quant_inst,[status(thm)],[])).
% 24.53/16.31 tff(10381,plain,
% 24.53/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2))),
% 24.53/16.31 inference(modus_ponens,[status(thm)],[10380, 10379])).
% 24.53/16.31 tff(10382,plain,
% 24.53/16.31 (v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2))),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10381, 892, 10363])).
% 24.53/16.31 tff(10383,plain,
% 24.53/16.31 (v90(constB66, bitIndex2) | (~v90(constB67, bitIndex2))),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10382, 10375])).
% 24.53/16.31 tff(10384,plain,
% 24.53/16.31 (~v90(constB67, bitIndex2)),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10383, 10357])).
% 24.53/16.31 tff(10385,plain,
% 24.53/16.31 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex1)))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10386,plain,
% 24.53/16.31 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex1)))),
% 24.53/16.31 inference(quant_inst,[status(thm)],[])).
% 24.53/16.31 tff(10387,plain,
% 24.53/16.31 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex1))),
% 24.53/16.31 inference(modus_ponens,[status(thm)],[10386, 10385])).
% 24.53/16.31 tff(10388,plain,
% 24.53/16.31 (~v130(constB65, bitIndex1)),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10387, 1887, 10233, 10229, 10225, 10221, 10186, 10182])).
% 24.53/16.31 tff(10389,plain,
% 24.53/16.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10390,plain,
% 24.53/16.31 ((v26(constB65) | v130(constB65, bitIndex1) | (~v127(constB65, bitIndex1))) <=> ((~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10391,plain,
% 24.53/16.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB65) | v130(constB65, bitIndex1) | (~v127(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1)))),
% 24.53/16.31 inference(monotonicity,[status(thm)],[10390])).
% 24.53/16.31 tff(10392,plain,
% 24.53/16.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB65) | v130(constB65, bitIndex1) | (~v127(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1))),
% 24.53/16.31 inference(transitivity,[status(thm)],[10391, 10389])).
% 24.53/16.31 tff(10393,plain,
% 24.53/16.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB65) | v130(constB65, bitIndex1) | (~v127(constB65, bitIndex1)))),
% 24.53/16.31 inference(quant_inst,[status(thm)],[])).
% 24.53/16.31 tff(10394,plain,
% 24.53/16.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1)),
% 24.53/16.31 inference(modus_ponens,[status(thm)],[10393, 10392])).
% 24.53/16.31 tff(10395,plain,
% 24.53/16.31 ((~v127(constB65, bitIndex1)) | v130(constB65, bitIndex1)),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10394, 1270, 10241])).
% 24.53/16.31 tff(10396,plain,
% 24.53/16.31 (~v127(constB65, bitIndex1)),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10395, 10388])).
% 24.53/16.31 tff(10397,plain,
% 24.53/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1)))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10398,plain,
% 24.53/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1)))),
% 24.53/16.31 inference(quant_inst,[status(thm)],[])).
% 24.53/16.31 tff(10399,plain,
% 24.53/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1))),
% 24.53/16.31 inference(modus_ponens,[status(thm)],[10398, 10397])).
% 24.53/16.31 tff(10400,plain,
% 24.53/16.31 (v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1))),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10399, 1288, 10252])).
% 24.53/16.31 tff(10401,plain,
% 24.53/16.31 (~v129(constB66, bitIndex1)),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10400, 10396])).
% 24.53/16.31 tff(10402,plain,
% 24.53/16.31 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66)))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10403,plain,
% 24.53/16.31 (((~v90(constB66, bitIndex1)) | (~v100(constB66)) | v129(constB66, bitIndex1)) <=> ((~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66)))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10404,plain,
% 24.53/16.31 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | (~v100(constB66)) | v129(constB66, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66))))),
% 24.53/16.31 inference(monotonicity,[status(thm)],[10403])).
% 24.53/16.31 tff(10405,plain,
% 24.53/16.31 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | (~v100(constB66)) | v129(constB66, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66)))),
% 24.53/16.31 inference(transitivity,[status(thm)],[10404, 10402])).
% 24.53/16.31 tff(10406,plain,
% 24.53/16.31 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | (~v100(constB66)) | v129(constB66, bitIndex1))),
% 24.53/16.31 inference(quant_inst,[status(thm)],[])).
% 24.53/16.31 tff(10407,plain,
% 24.53/16.31 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66))),
% 24.53/16.31 inference(modus_ponens,[status(thm)],[10406, 10405])).
% 24.53/16.31 tff(10408,plain,
% 24.53/16.31 (~v90(constB66, bitIndex1)),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10407, 1303, 10353, 10401])).
% 24.53/16.31 tff(10409,plain,
% 24.53/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex1)))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10410,plain,
% 24.53/16.31 (((~nextState(constB66, constB67)) | v90(constB66, bitIndex1) | v100(constB67) | (~v90(constB67, bitIndex1))) <=> (v90(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex1)))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10411,plain,
% 24.53/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex1) | v100(constB67) | (~v90(constB67, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex1))))),
% 24.53/16.31 inference(monotonicity,[status(thm)],[10410])).
% 24.53/16.31 tff(10412,plain,
% 24.53/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex1) | v100(constB67) | (~v90(constB67, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex1)))),
% 24.53/16.31 inference(transitivity,[status(thm)],[10411, 10409])).
% 24.53/16.31 tff(10413,plain,
% 24.53/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex1) | v100(constB67) | (~v90(constB67, bitIndex1)))),
% 24.53/16.31 inference(quant_inst,[status(thm)],[])).
% 24.53/16.31 tff(10414,plain,
% 24.53/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex1))),
% 24.53/16.31 inference(modus_ponens,[status(thm)],[10413, 10412])).
% 24.53/16.31 tff(10415,plain,
% 24.53/16.31 (v90(constB66, bitIndex1) | v100(constB67) | (~v90(constB67, bitIndex1))),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10414, 913, 10363])).
% 24.53/16.31 tff(10416,plain,
% 24.53/16.31 (v90(constB66, bitIndex1) | (~v90(constB67, bitIndex1))),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10415, 10375])).
% 24.53/16.31 tff(10417,plain,
% 24.53/16.31 (~v90(constB67, bitIndex1)),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10416, 10408])).
% 24.53/16.31 tff(10418,plain,
% 24.53/16.31 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | v130(constB65, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | v130(constB65, bitIndex0))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10419,plain,
% 24.53/16.31 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | v130(constB65, bitIndex0))),
% 24.53/16.31 inference(quant_inst,[status(thm)],[])).
% 24.53/16.31 tff(10420,plain,
% 24.53/16.31 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | v130(constB65, bitIndex0)),
% 24.53/16.31 inference(modus_ponens,[status(thm)],[10419, 10418])).
% 24.53/16.31 tff(10421,plain,
% 24.53/16.31 (v130(constB65, bitIndex0)),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10420, 1931, 10233, 10229, 10225, 10221, 10186, 10182])).
% 24.53/16.31 tff(10422,plain,
% 24.53/16.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10423,plain,
% 24.53/16.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0))),
% 24.53/16.31 inference(quant_inst,[status(thm)],[])).
% 24.53/16.31 tff(10424,plain,
% 24.53/16.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0)),
% 24.53/16.31 inference(modus_ponens,[status(thm)],[10423, 10422])).
% 24.53/16.31 tff(10425,plain,
% 24.53/16.31 ((~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0)),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10424, 1945, 10241])).
% 24.53/16.31 tff(10426,plain,
% 24.53/16.31 (v127(constB65, bitIndex0)),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10425, 10421])).
% 24.53/16.31 tff(10427,plain,
% 24.53/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10428,plain,
% 24.53/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0))),
% 24.53/16.31 inference(quant_inst,[status(thm)],[])).
% 24.53/16.31 tff(10429,plain,
% 24.53/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0)),
% 24.53/16.31 inference(modus_ponens,[status(thm)],[10428, 10427])).
% 24.53/16.31 tff(10430,plain,
% 24.53/16.31 ((~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0)),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10429, 1960, 10252])).
% 24.53/16.31 tff(10431,plain,
% 24.53/16.31 (v129(constB66, bitIndex0)),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10430, 10426])).
% 24.53/16.31 tff(10432,plain,
% 24.53/16.31 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10433,plain,
% 24.53/16.31 ((v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0))) <=> (v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10434,plain,
% 24.53/16.31 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66))))),
% 24.53/16.31 inference(monotonicity,[status(thm)],[10433])).
% 24.53/16.31 tff(10435,plain,
% 24.53/16.31 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))),
% 24.53/16.31 inference(transitivity,[status(thm)],[10434, 10432])).
% 24.53/16.31 tff(10436,plain,
% 24.53/16.31 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0)))),
% 24.53/16.31 inference(quant_inst,[status(thm)],[])).
% 24.53/16.31 tff(10437,plain,
% 24.53/16.31 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66))),
% 24.53/16.31 inference(modus_ponens,[status(thm)],[10436, 10435])).
% 24.53/16.31 tff(10438,plain,
% 24.53/16.31 (v90(constB66, bitIndex0)),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10437, 1975, 10353, 10431])).
% 24.53/16.31 tff(10439,plain,
% 24.53/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10440,plain,
% 24.53/16.31 (((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0)) <=> ((~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))),
% 24.53/16.31 inference(rewrite,[status(thm)],[])).
% 24.53/16.31 tff(10441,plain,
% 24.53/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0)))),
% 24.53/16.31 inference(monotonicity,[status(thm)],[10440])).
% 24.53/16.31 tff(10442,plain,
% 24.53/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))),
% 24.53/16.31 inference(transitivity,[status(thm)],[10441, 10439])).
% 24.53/16.31 tff(10443,plain,
% 24.53/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0))),
% 24.53/16.31 inference(quant_inst,[status(thm)],[])).
% 24.53/16.31 tff(10444,plain,
% 24.53/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0)),
% 24.53/16.31 inference(modus_ponens,[status(thm)],[10443, 10442])).
% 24.53/16.31 tff(10445,plain,
% 24.53/16.31 ((~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0)),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10444, 1993, 10363])).
% 24.53/16.31 tff(10446,plain,
% 24.53/16.31 ((~v90(constB66, bitIndex0)) | v90(constB67, bitIndex0)),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10445, 10375])).
% 24.53/16.31 tff(10447,plain,
% 24.53/16.31 (v90(constB67, bitIndex0)),
% 24.53/16.31 inference(unit_resolution,[status(thm)],[10446, 10438])).
% 24.53/16.32 tff(10448,plain,
% 24.53/16.32 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | v120(constB67))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | v120(constB67))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10449,plain,
% 24.53/16.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | v120(constB67))),
% 24.53/16.32 inference(quant_inst,[status(thm)],[])).
% 24.53/16.32 tff(10450,plain,
% 24.53/16.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | v120(constB67)),
% 24.53/16.32 inference(modus_ponens,[status(thm)],[10449, 10448])).
% 24.53/16.32 tff(10451,plain,
% 24.53/16.32 (v120(constB67)),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10450, 2012, 10447, 10417, 10384])).
% 24.53/16.32 tff(10452,plain,
% 24.53/16.32 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB67) | (~v120(constB67)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB67) | (~v120(constB67)))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10453,plain,
% 24.53/16.32 (((~v120(constB67)) | v118(constB67)) <=> (v118(constB67) | (~v120(constB67)))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10454,plain,
% 24.53/16.32 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB67)) | v118(constB67))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB67) | (~v120(constB67))))),
% 24.53/16.32 inference(monotonicity,[status(thm)],[10453])).
% 24.53/16.32 tff(10455,plain,
% 24.53/16.32 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB67)) | v118(constB67))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB67) | (~v120(constB67)))),
% 24.53/16.32 inference(transitivity,[status(thm)],[10454, 10452])).
% 24.53/16.32 tff(10456,plain,
% 24.53/16.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB67)) | v118(constB67))),
% 24.53/16.32 inference(quant_inst,[status(thm)],[])).
% 24.53/16.32 tff(10457,plain,
% 24.53/16.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB67) | (~v120(constB67))),
% 24.53/16.32 inference(modus_ponens,[status(thm)],[10456, 10455])).
% 24.53/16.32 tff(10458,plain,
% 24.53/16.32 (v118(constB67)),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10457, 2210, 10451])).
% 24.53/16.32 tff(10459,plain,
% 24.53/16.32 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB67)) | v117(constB67))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB67)) | v117(constB67))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10460,plain,
% 24.53/16.32 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB67)) | v117(constB67))),
% 24.53/16.32 inference(quant_inst,[status(thm)],[])).
% 24.53/16.32 tff(10461,plain,
% 24.53/16.32 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB67)) | v117(constB67)),
% 24.53/16.32 inference(modus_ponens,[status(thm)],[10460, 10459])).
% 24.53/16.32 tff(10462,plain,
% 24.53/16.32 (v117(constB67)),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10461, 980, 10458])).
% 24.53/16.32 tff(10463,plain,
% 24.53/16.32 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB67) | (~v117(constB67)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB67) | (~v117(constB67)))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10464,plain,
% 24.53/16.32 (((~v117(constB67)) | v116(constB67)) <=> (v116(constB67) | (~v117(constB67)))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10465,plain,
% 24.53/16.32 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB67)) | v116(constB67))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB67) | (~v117(constB67))))),
% 24.53/16.32 inference(monotonicity,[status(thm)],[10464])).
% 24.53/16.32 tff(10466,plain,
% 24.53/16.32 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB67)) | v116(constB67))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB67) | (~v117(constB67)))),
% 24.53/16.32 inference(transitivity,[status(thm)],[10465, 10463])).
% 24.53/16.32 tff(10467,plain,
% 24.53/16.32 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB67)) | v116(constB67))),
% 24.53/16.32 inference(quant_inst,[status(thm)],[])).
% 24.53/16.32 tff(10468,plain,
% 24.53/16.32 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB67) | (~v117(constB67))),
% 24.53/16.32 inference(modus_ponens,[status(thm)],[10467, 10466])).
% 24.53/16.32 tff(10469,plain,
% 24.53/16.32 (v116(constB67)),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10468, 994, 10462])).
% 24.53/16.32 tff(10470,plain,
% 24.53/16.32 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB67)) | v115(constB67))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB67)) | v115(constB67))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10471,plain,
% 24.53/16.32 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB67)) | v115(constB67))),
% 24.53/16.32 inference(quant_inst,[status(thm)],[])).
% 24.53/16.32 tff(10472,plain,
% 24.53/16.32 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB67)) | v115(constB67)),
% 24.53/16.32 inference(modus_ponens,[status(thm)],[10471, 10470])).
% 24.53/16.32 tff(10473,plain,
% 24.53/16.32 (v115(constB67)),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10472, 1008, 10469])).
% 24.53/16.32 tff(10474,plain,
% 24.53/16.32 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB67) | (~v115(constB67)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB67) | (~v115(constB67)))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10475,plain,
% 24.53/16.32 (((~v115(constB67)) | v114(constB67)) <=> (v114(constB67) | (~v115(constB67)))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10476,plain,
% 24.53/16.32 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB67)) | v114(constB67))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB67) | (~v115(constB67))))),
% 24.53/16.32 inference(monotonicity,[status(thm)],[10475])).
% 24.53/16.32 tff(10477,plain,
% 24.53/16.32 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB67)) | v114(constB67))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB67) | (~v115(constB67)))),
% 24.53/16.32 inference(transitivity,[status(thm)],[10476, 10474])).
% 24.53/16.32 tff(10478,plain,
% 24.53/16.32 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB67)) | v114(constB67))),
% 24.53/16.32 inference(quant_inst,[status(thm)],[])).
% 24.53/16.32 tff(10479,plain,
% 24.53/16.32 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB67) | (~v115(constB67))),
% 24.53/16.32 inference(modus_ponens,[status(thm)],[10478, 10477])).
% 24.53/16.32 tff(10480,plain,
% 24.53/16.32 (v114(constB67)),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10479, 1022, 10473])).
% 24.53/16.32 tff(10481,plain,
% 24.53/16.32 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB67) | (~v114(constB67)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB67) | (~v114(constB67)))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10482,plain,
% 24.53/16.32 (((~v114(constB67)) | v113(constB67)) <=> (v113(constB67) | (~v114(constB67)))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10483,plain,
% 24.53/16.32 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB67)) | v113(constB67))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB67) | (~v114(constB67))))),
% 24.53/16.32 inference(monotonicity,[status(thm)],[10482])).
% 24.53/16.32 tff(10484,plain,
% 24.53/16.32 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB67)) | v113(constB67))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB67) | (~v114(constB67)))),
% 24.53/16.32 inference(transitivity,[status(thm)],[10483, 10481])).
% 24.53/16.32 tff(10485,plain,
% 24.53/16.32 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB67)) | v113(constB67))),
% 24.53/16.32 inference(quant_inst,[status(thm)],[])).
% 24.53/16.32 tff(10486,plain,
% 24.53/16.32 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB67) | (~v114(constB67))),
% 24.53/16.32 inference(modus_ponens,[status(thm)],[10485, 10484])).
% 24.53/16.32 tff(10487,plain,
% 24.53/16.32 (v113(constB67)),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10486, 1036, 10480])).
% 24.53/16.32 tff(10488,assumption,(v26(constB67)), introduced(assumption)).
% 24.53/16.32 tff(10489,plain,
% 24.53/16.32 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB67))),
% 24.53/16.32 inference(quant_inst,[status(thm)],[])).
% 24.53/16.32 tff(10490,plain,
% 24.53/16.32 ($false),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10489, 797, 10488])).
% 24.53/16.32 tff(10491,plain,(~v26(constB67)), inference(lemma,lemma(discharge,[]))).
% 24.53/16.32 tff(10492,plain,
% 24.53/16.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | v112(constB67) | (~v113(constB67)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | v112(constB67) | (~v113(constB67)))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10493,plain,
% 24.53/16.32 ((v26(constB67) | (~v113(constB67)) | v112(constB67)) <=> (v26(constB67) | v112(constB67) | (~v113(constB67)))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10494,plain,
% 24.53/16.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | v112(constB67) | (~v113(constB67))))),
% 24.53/16.32 inference(monotonicity,[status(thm)],[10493])).
% 24.53/16.32 tff(10495,plain,
% 24.53/16.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | v112(constB67) | (~v113(constB67)))),
% 24.53/16.32 inference(transitivity,[status(thm)],[10494, 10492])).
% 24.53/16.32 tff(10496,plain,
% 24.53/16.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))),
% 24.53/16.32 inference(quant_inst,[status(thm)],[])).
% 24.53/16.32 tff(10497,plain,
% 24.53/16.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | v112(constB67) | (~v113(constB67))),
% 24.53/16.32 inference(modus_ponens,[status(thm)],[10496, 10495])).
% 24.53/16.32 tff(10498,plain,
% 24.53/16.32 (v112(constB67) | (~v113(constB67))),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10497, 1050, 10491])).
% 24.53/16.32 tff(10499,plain,
% 24.53/16.32 (v112(constB67)),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10498, 10487])).
% 24.53/16.32 tff(10500,plain,
% 24.53/16.32 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB67) | (~v112(constB67)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB67) | (~v112(constB67)))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10501,plain,
% 24.53/16.32 (((~v112(constB67)) | v108(constB67)) <=> (v108(constB67) | (~v112(constB67)))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10502,plain,
% 24.53/16.32 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB67)) | v108(constB67))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB67) | (~v112(constB67))))),
% 24.53/16.32 inference(monotonicity,[status(thm)],[10501])).
% 24.53/16.32 tff(10503,plain,
% 24.53/16.32 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB67)) | v108(constB67))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB67) | (~v112(constB67)))),
% 24.53/16.32 inference(transitivity,[status(thm)],[10502, 10500])).
% 24.53/16.32 tff(10504,plain,
% 24.53/16.32 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB67)) | v108(constB67))),
% 24.53/16.32 inference(quant_inst,[status(thm)],[])).
% 24.53/16.32 tff(10505,plain,
% 24.53/16.32 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB67) | (~v112(constB67))),
% 24.53/16.32 inference(modus_ponens,[status(thm)],[10504, 10503])).
% 24.53/16.32 tff(10506,plain,
% 24.53/16.32 (v108(constB67)),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10505, 1062, 10499])).
% 24.53/16.32 tff(10507,plain,
% 24.53/16.32 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10508,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_67_1')).
% 24.53/16.32 tff(10509,plain,
% 24.53/16.32 (nextState(constB67, constB68)),
% 24.53/16.32 inference(modus_ponens,[status(thm)],[10508, 10507])).
% 24.53/16.32 tff(10510,plain,
% 24.53/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10511,plain,
% 24.53/16.32 (((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68)) <=> ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10512,plain,
% 24.53/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67))))),
% 24.53/16.32 inference(monotonicity,[status(thm)],[10511])).
% 24.53/16.32 tff(10513,plain,
% 24.53/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 24.53/16.32 inference(transitivity,[status(thm)],[10512, 10510])).
% 24.53/16.32 tff(10514,plain,
% 24.53/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))),
% 24.53/16.32 inference(quant_inst,[status(thm)],[])).
% 24.53/16.32 tff(10515,plain,
% 24.53/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67))),
% 24.53/16.32 inference(modus_ponens,[status(thm)],[10514, 10513])).
% 24.53/16.32 tff(10516,plain,
% 24.53/16.32 (v110(constB68) | (~v108(constB67))),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10515, 1082, 10509])).
% 24.53/16.32 tff(10517,plain,
% 24.53/16.32 (v110(constB68)),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10516, 10506])).
% 24.53/16.32 tff(10518,plain,
% 24.53/16.32 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10519,plain,
% 24.53/16.32 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))),
% 24.53/16.32 inference(quant_inst,[status(thm)],[])).
% 24.53/16.32 tff(10520,plain,
% 24.53/16.32 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68))),
% 24.53/16.32 inference(modus_ponens,[status(thm)],[10519, 10518])).
% 24.53/16.32 tff(10521,plain,
% 24.53/16.32 (~v104(constB68)),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10520, 1100, 10509, 10360])).
% 24.53/16.32 tff(10522,plain,
% 24.53/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10523,plain,
% 24.53/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))),
% 24.53/16.32 inference(quant_inst,[status(thm)],[])).
% 24.53/16.32 tff(10524,plain,
% 24.53/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v102(constB68) | v104(constB68)),
% 24.53/16.32 inference(modus_ponens,[status(thm)],[10523, 10522])).
% 24.53/16.32 tff(10525,plain,
% 24.53/16.32 (v102(constB68) | v104(constB68)),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10524, 1114, 10509])).
% 24.53/16.32 tff(10526,plain,
% 24.53/16.32 (v102(constB68)),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10525, 10521])).
% 24.53/16.32 tff(10527,plain,
% 24.53/16.32 (v1(constB68) <=> v1(constB68)),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10528,axiom,(v1(constB68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_68_1')).
% 24.53/16.32 tff(10529,plain,
% 24.53/16.32 (v1(constB68)),
% 24.53/16.32 inference(modus_ponens,[status(thm)],[10528, 10527])).
% 24.53/16.32 tff(10530,plain,
% 24.53/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10531,plain,
% 24.53/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))),
% 24.53/16.32 inference(quant_inst,[status(thm)],[])).
% 24.53/16.32 tff(10532,plain,
% 24.53/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68))),
% 24.53/16.32 inference(modus_ponens,[status(thm)],[10531, 10530])).
% 24.53/16.32 tff(10533,plain,
% 24.53/16.32 (v101(constB68) | (~v102(constB68))),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10532, 1129, 10509, 10529])).
% 24.53/16.32 tff(10534,plain,
% 24.53/16.32 (v101(constB68)),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10533, 10526])).
% 24.53/16.32 tff(10535,plain,
% 24.53/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10536,plain,
% 24.53/16.32 (((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68)) <=> ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10537,plain,
% 24.53/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68))))),
% 24.53/16.32 inference(monotonicity,[status(thm)],[10536])).
% 24.53/16.32 tff(10538,plain,
% 24.53/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 24.53/16.32 inference(transitivity,[status(thm)],[10537, 10535])).
% 24.53/16.32 tff(10539,plain,
% 24.53/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))),
% 24.53/16.32 inference(quant_inst,[status(thm)],[])).
% 24.53/16.32 tff(10540,plain,
% 24.53/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 24.53/16.32 inference(modus_ponens,[status(thm)],[10539, 10538])).
% 24.53/16.32 tff(10541,plain,
% 24.53/16.32 (v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10540, 1144, 10509])).
% 24.53/16.32 tff(10542,plain,
% 24.53/16.32 (v100(constB68) | (~v110(constB68))),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10541, 10534])).
% 24.53/16.32 tff(10543,plain,
% 24.53/16.32 (v100(constB68)),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10542, 10517])).
% 24.53/16.32 tff(10544,plain,
% 24.53/16.32 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB67)) | (~v130(constB67, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB67)) | (~v130(constB67, bitIndex2)))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10545,plain,
% 24.53/16.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB67)) | (~v130(constB67, bitIndex2)))),
% 24.53/16.32 inference(quant_inst,[status(thm)],[])).
% 24.53/16.32 tff(10546,plain,
% 24.53/16.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB67)) | (~v130(constB67, bitIndex2))),
% 24.53/16.32 inference(modus_ponens,[status(thm)],[10545, 10544])).
% 24.53/16.32 tff(10547,plain,
% 24.53/16.32 (~v130(constB67, bitIndex2)),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10546, 2231, 10451])).
% 24.53/16.32 tff(10548,plain,
% 24.53/16.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10549,plain,
% 24.53/16.32 ((v26(constB67) | v130(constB67, bitIndex2) | (~v127(constB67, bitIndex2))) <=> ((~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10550,plain,
% 24.53/16.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB67) | v130(constB67, bitIndex2) | (~v127(constB67, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2)))),
% 24.53/16.32 inference(monotonicity,[status(thm)],[10549])).
% 24.53/16.32 tff(10551,plain,
% 24.53/16.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB67) | v130(constB67, bitIndex2) | (~v127(constB67, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2))),
% 24.53/16.32 inference(transitivity,[status(thm)],[10550, 10548])).
% 24.53/16.32 tff(10552,plain,
% 24.53/16.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB67) | v130(constB67, bitIndex2) | (~v127(constB67, bitIndex2)))),
% 24.53/16.32 inference(quant_inst,[status(thm)],[])).
% 24.53/16.32 tff(10553,plain,
% 24.53/16.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2)),
% 24.53/16.32 inference(modus_ponens,[status(thm)],[10552, 10551])).
% 24.53/16.32 tff(10554,plain,
% 24.53/16.32 ((~v127(constB67, bitIndex2)) | v130(constB67, bitIndex2)),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10553, 1812, 10491])).
% 24.53/16.32 tff(10555,plain,
% 24.53/16.32 (~v127(constB67, bitIndex2)),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10554, 10547])).
% 24.53/16.32 tff(10556,plain,
% 24.53/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex2) | (~v129(constB68, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex2) | (~v129(constB68, bitIndex2)))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10557,plain,
% 24.53/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex2) | (~v129(constB68, bitIndex2)))),
% 24.53/16.32 inference(quant_inst,[status(thm)],[])).
% 24.53/16.32 tff(10558,plain,
% 24.53/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex2) | (~v129(constB68, bitIndex2))),
% 24.53/16.32 inference(modus_ponens,[status(thm)],[10557, 10556])).
% 24.53/16.32 tff(10559,plain,
% 24.53/16.32 (v127(constB67, bitIndex2) | (~v129(constB68, bitIndex2))),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10558, 1830, 10509])).
% 24.53/16.32 tff(10560,plain,
% 24.53/16.32 (~v129(constB68, bitIndex2)),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10559, 10555])).
% 24.53/16.32 tff(10561,plain,
% 24.53/16.32 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB68, bitIndex2)) | v129(constB68, bitIndex2) | (~v100(constB68)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB68, bitIndex2)) | v129(constB68, bitIndex2) | (~v100(constB68)))),
% 24.53/16.32 inference(rewrite,[status(thm)],[])).
% 24.53/16.32 tff(10562,plain,
% 24.53/16.32 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB68, bitIndex2)) | v129(constB68, bitIndex2) | (~v100(constB68)))),
% 24.53/16.32 inference(quant_inst,[status(thm)],[])).
% 24.53/16.32 tff(10563,plain,
% 24.53/16.32 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB68, bitIndex2)) | v129(constB68, bitIndex2) | (~v100(constB68))),
% 24.53/16.32 inference(modus_ponens,[status(thm)],[10562, 10561])).
% 24.53/16.32 tff(10564,plain,
% 24.53/16.32 ((~v90(constB68, bitIndex2)) | (~v100(constB68))),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10563, 1845, 10560])).
% 24.53/16.32 tff(10565,plain,
% 24.53/16.32 (~v90(constB68, bitIndex2)),
% 24.53/16.32 inference(unit_resolution,[status(thm)],[10564, 10543])).
% 24.53/16.32 tff(10566,plain,
% 24.53/16.32 ((~v1(constB69)) <=> (~v1(constB69))),
% 24.61/16.32 inference(rewrite,[status(thm)],[])).
% 24.61/16.32 tff(10567,axiom,(~v1(constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_69_1_1')).
% 24.61/16.32 tff(10568,plain,
% 24.61/16.32 (~v1(constB69)),
% 24.61/16.32 inference(modus_ponens,[status(thm)],[10567, 10566])).
% 24.61/16.32 tff(10569,plain,
% 24.61/16.32 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 24.61/16.32 inference(rewrite,[status(thm)],[])).
% 24.61/16.32 tff(10570,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_68_1')).
% 24.61/16.32 tff(10571,plain,
% 24.61/16.32 (nextState(constB68, constB69)),
% 24.61/16.32 inference(modus_ponens,[status(thm)],[10570, 10569])).
% 24.61/16.32 tff(10572,plain,
% 24.61/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 24.61/16.32 inference(rewrite,[status(thm)],[])).
% 24.61/16.32 tff(10573,plain,
% 24.61/16.32 (((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69)) <=> (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 24.61/16.32 inference(rewrite,[status(thm)],[])).
% 24.61/16.32 tff(10574,plain,
% 24.61/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69))))),
% 24.61/16.32 inference(monotonicity,[status(thm)],[10573])).
% 24.61/16.32 tff(10575,plain,
% 24.61/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 24.61/16.32 inference(transitivity,[status(thm)],[10574, 10572])).
% 24.61/16.32 tff(10576,plain,
% 24.61/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))),
% 24.61/16.32 inference(quant_inst,[status(thm)],[])).
% 24.61/16.32 tff(10577,plain,
% 24.61/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69))),
% 24.61/16.32 inference(modus_ponens,[status(thm)],[10576, 10575])).
% 24.61/16.32 tff(10578,plain,
% 24.61/16.32 (~v101(constB69)),
% 24.61/16.32 inference(unit_resolution,[status(thm)],[10577, 860, 10571, 10568])).
% 24.61/16.32 tff(10579,plain,
% 24.61/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))),
% 24.61/16.32 inference(rewrite,[status(thm)],[])).
% 24.61/16.32 tff(10580,plain,
% 24.61/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))),
% 24.61/16.32 inference(quant_inst,[status(thm)],[])).
% 24.61/16.32 tff(10581,plain,
% 24.61/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69))),
% 24.61/16.32 inference(modus_ponens,[status(thm)],[10580, 10579])).
% 24.61/16.32 tff(10582,plain,
% 24.61/16.32 (v101(constB69) | (~v100(constB69))),
% 24.61/16.32 inference(unit_resolution,[status(thm)],[10581, 877, 10571])).
% 24.61/16.32 tff(10583,plain,
% 24.61/16.32 (~v100(constB69)),
% 24.61/16.32 inference(unit_resolution,[status(thm)],[10582, 10578])).
% 24.61/16.32 tff(10584,plain,
% 24.61/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex2)))),
% 24.61/16.32 inference(rewrite,[status(thm)],[])).
% 24.61/16.32 tff(10585,plain,
% 24.61/16.32 (((~nextState(constB68, constB69)) | v90(constB68, bitIndex2) | v100(constB69) | (~v90(constB69, bitIndex2))) <=> (v90(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex2)))),
% 24.61/16.32 inference(rewrite,[status(thm)],[])).
% 24.61/16.32 tff(10586,plain,
% 24.61/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex2) | v100(constB69) | (~v90(constB69, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex2))))),
% 24.61/16.32 inference(monotonicity,[status(thm)],[10585])).
% 24.61/16.32 tff(10587,plain,
% 24.61/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex2) | v100(constB69) | (~v90(constB69, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex2)))),
% 24.61/16.32 inference(transitivity,[status(thm)],[10586, 10584])).
% 24.61/16.32 tff(10588,plain,
% 24.61/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex2) | v100(constB69) | (~v90(constB69, bitIndex2)))),
% 24.61/16.32 inference(quant_inst,[status(thm)],[])).
% 24.61/16.32 tff(10589,plain,
% 24.61/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex2))),
% 24.61/16.32 inference(modus_ponens,[status(thm)],[10588, 10587])).
% 24.61/16.32 tff(10590,plain,
% 24.61/16.32 (v90(constB68, bitIndex2) | v100(constB69) | (~v90(constB69, bitIndex2))),
% 24.61/16.32 inference(unit_resolution,[status(thm)],[10589, 892, 10571])).
% 24.61/16.32 tff(10591,plain,
% 24.61/16.32 (v90(constB68, bitIndex2) | (~v90(constB69, bitIndex2))),
% 24.61/16.32 inference(unit_resolution,[status(thm)],[10590, 10583])).
% 24.61/16.32 tff(10592,plain,
% 24.61/16.32 (~v90(constB69, bitIndex2)),
% 24.61/16.32 inference(unit_resolution,[status(thm)],[10591, 10565])).
% 24.61/16.32 tff(10593,plain,
% 24.61/16.32 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB67)) | v130(constB67, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB67)) | v130(constB67, bitIndex1))),
% 24.61/16.32 inference(rewrite,[status(thm)],[])).
% 24.61/16.32 tff(10594,plain,
% 24.61/16.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB67)) | v130(constB67, bitIndex1))),
% 24.61/16.32 inference(quant_inst,[status(thm)],[])).
% 24.61/16.32 tff(10595,plain,
% 24.61/16.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB67)) | v130(constB67, bitIndex1)),
% 24.61/16.32 inference(modus_ponens,[status(thm)],[10594, 10593])).
% 24.61/16.32 tff(10596,plain,
% 24.61/16.32 (v130(constB67, bitIndex1)),
% 24.61/16.32 inference(unit_resolution,[status(thm)],[10595, 2034, 10451])).
% 24.61/16.32 tff(10597,plain,
% 24.61/16.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB67) | (~v130(constB67, bitIndex1)) | v127(constB67, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB67) | (~v130(constB67, bitIndex1)) | v127(constB67, bitIndex1))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10598,plain,
% 24.61/16.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB67) | (~v130(constB67, bitIndex1)) | v127(constB67, bitIndex1))),
% 24.61/16.33 inference(quant_inst,[status(thm)],[])).
% 24.61/16.33 tff(10599,plain,
% 24.61/16.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB67) | (~v130(constB67, bitIndex1)) | v127(constB67, bitIndex1)),
% 24.61/16.33 inference(modus_ponens,[status(thm)],[10598, 10597])).
% 24.61/16.33 tff(10600,plain,
% 24.61/16.33 ((~v130(constB67, bitIndex1)) | v127(constB67, bitIndex1)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10599, 1553, 10491])).
% 24.61/16.33 tff(10601,plain,
% 24.61/16.33 (v127(constB67, bitIndex1)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10600, 10596])).
% 24.61/16.33 tff(10602,plain,
% 24.61/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB67, constB68)) | (~v127(constB67, bitIndex1)) | v129(constB68, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB67, constB68)) | (~v127(constB67, bitIndex1)) | v129(constB68, bitIndex1))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10603,plain,
% 24.61/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB67, constB68)) | (~v127(constB67, bitIndex1)) | v129(constB68, bitIndex1))),
% 24.61/16.33 inference(quant_inst,[status(thm)],[])).
% 24.61/16.33 tff(10604,plain,
% 24.61/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB67, constB68)) | (~v127(constB67, bitIndex1)) | v129(constB68, bitIndex1)),
% 24.61/16.33 inference(modus_ponens,[status(thm)],[10603, 10602])).
% 24.61/16.33 tff(10605,plain,
% 24.61/16.33 ((~v127(constB67, bitIndex1)) | v129(constB68, bitIndex1)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10604, 1568, 10509])).
% 24.61/16.33 tff(10606,plain,
% 24.61/16.33 (v129(constB68, bitIndex1)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10605, 10601])).
% 24.61/16.33 tff(10607,plain,
% 24.61/16.33 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~v129(constB68, bitIndex1)) | (~v100(constB68)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB68, bitIndex1) | (~v129(constB68, bitIndex1)) | (~v100(constB68)))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10608,plain,
% 24.61/16.33 ((v90(constB68, bitIndex1) | (~v100(constB68)) | (~v129(constB68, bitIndex1))) <=> (v90(constB68, bitIndex1) | (~v129(constB68, bitIndex1)) | (~v100(constB68)))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10609,plain,
% 24.61/16.33 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~v100(constB68)) | (~v129(constB68, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~v129(constB68, bitIndex1)) | (~v100(constB68))))),
% 24.61/16.33 inference(monotonicity,[status(thm)],[10608])).
% 24.61/16.33 tff(10610,plain,
% 24.61/16.33 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~v100(constB68)) | (~v129(constB68, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB68, bitIndex1) | (~v129(constB68, bitIndex1)) | (~v100(constB68)))),
% 24.61/16.33 inference(transitivity,[status(thm)],[10609, 10607])).
% 24.61/16.33 tff(10611,plain,
% 24.61/16.33 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~v100(constB68)) | (~v129(constB68, bitIndex1)))),
% 24.61/16.33 inference(quant_inst,[status(thm)],[])).
% 24.61/16.33 tff(10612,plain,
% 24.61/16.33 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB68, bitIndex1) | (~v129(constB68, bitIndex1)) | (~v100(constB68))),
% 24.61/16.33 inference(modus_ponens,[status(thm)],[10611, 10610])).
% 24.61/16.33 tff(10613,plain,
% 24.61/16.33 (v90(constB68, bitIndex1) | (~v100(constB68))),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10612, 1583, 10606])).
% 24.61/16.33 tff(10614,plain,
% 24.61/16.33 (v90(constB68, bitIndex1)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10613, 10543])).
% 24.61/16.33 tff(10615,plain,
% 24.61/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex1))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10616,plain,
% 24.61/16.33 (((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex1)) | v100(constB69) | v90(constB69, bitIndex1)) <=> ((~v90(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex1))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10617,plain,
% 24.61/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex1)) | v100(constB69) | v90(constB69, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex1)))),
% 24.61/16.33 inference(monotonicity,[status(thm)],[10616])).
% 24.61/16.33 tff(10618,plain,
% 24.61/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex1)) | v100(constB69) | v90(constB69, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex1))),
% 24.61/16.33 inference(transitivity,[status(thm)],[10617, 10615])).
% 24.61/16.33 tff(10619,plain,
% 24.61/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex1)) | v100(constB69) | v90(constB69, bitIndex1))),
% 24.61/16.33 inference(quant_inst,[status(thm)],[])).
% 24.61/16.33 tff(10620,plain,
% 24.61/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex1)),
% 24.61/16.33 inference(modus_ponens,[status(thm)],[10619, 10618])).
% 24.61/16.33 tff(10621,plain,
% 24.61/16.33 ((~v90(constB68, bitIndex1)) | v100(constB69) | v90(constB69, bitIndex1)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10620, 1601, 10571])).
% 24.61/16.33 tff(10622,plain,
% 24.61/16.33 ((~v90(constB68, bitIndex1)) | v90(constB69, bitIndex1)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10621, 10583])).
% 24.61/16.33 tff(10623,plain,
% 24.61/16.33 (v90(constB69, bitIndex1)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10622, 10614])).
% 24.61/16.33 tff(10624,plain,
% 24.61/16.33 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB67)) | (~v130(constB67, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB67)) | (~v130(constB67, bitIndex0)))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10625,plain,
% 24.61/16.33 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB67)) | (~v130(constB67, bitIndex0)))),
% 24.61/16.33 inference(quant_inst,[status(thm)],[])).
% 24.61/16.33 tff(10626,plain,
% 24.61/16.33 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB67)) | (~v130(constB67, bitIndex0))),
% 24.61/16.33 inference(modus_ponens,[status(thm)],[10625, 10624])).
% 24.61/16.33 tff(10627,plain,
% 24.61/16.33 (~v130(constB67, bitIndex0)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10626, 2023, 10451])).
% 24.61/16.33 tff(10628,plain,
% 24.61/16.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10629,plain,
% 24.61/16.33 ((v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0))) <=> ((~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10630,plain,
% 24.61/16.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0)))),
% 24.61/16.33 inference(monotonicity,[status(thm)],[10629])).
% 24.61/16.33 tff(10631,plain,
% 24.61/16.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))),
% 24.61/16.33 inference(transitivity,[status(thm)],[10630, 10628])).
% 24.61/16.33 tff(10632,plain,
% 24.61/16.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0)))),
% 24.61/16.33 inference(quant_inst,[status(thm)],[])).
% 24.61/16.33 tff(10633,plain,
% 24.61/16.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0)),
% 24.61/16.33 inference(modus_ponens,[status(thm)],[10632, 10631])).
% 24.61/16.33 tff(10634,plain,
% 24.61/16.33 ((~v127(constB67, bitIndex0)) | v130(constB67, bitIndex0)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10633, 1341, 10491])).
% 24.61/16.33 tff(10635,plain,
% 24.61/16.33 (~v127(constB67, bitIndex0)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10634, 10627])).
% 24.61/16.33 tff(10636,plain,
% 24.61/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0)))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10637,plain,
% 24.61/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0)))),
% 24.61/16.33 inference(quant_inst,[status(thm)],[])).
% 24.61/16.33 tff(10638,plain,
% 24.61/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0))),
% 24.61/16.33 inference(modus_ponens,[status(thm)],[10637, 10636])).
% 24.61/16.33 tff(10639,plain,
% 24.61/16.33 (v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0))),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10638, 1359, 10509])).
% 24.61/16.33 tff(10640,plain,
% 24.61/16.33 (~v129(constB68, bitIndex0)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10639, 10635])).
% 24.61/16.33 tff(10641,plain,
% 24.61/16.33 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10642,plain,
% 24.61/16.33 (((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0)) <=> ((~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10643,plain,
% 24.61/16.33 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68))))),
% 24.61/16.33 inference(monotonicity,[status(thm)],[10642])).
% 24.61/16.33 tff(10644,plain,
% 24.61/16.33 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))),
% 24.61/16.33 inference(transitivity,[status(thm)],[10643, 10641])).
% 24.61/16.33 tff(10645,plain,
% 24.61/16.33 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0))),
% 24.61/16.33 inference(quant_inst,[status(thm)],[])).
% 24.61/16.33 tff(10646,plain,
% 24.61/16.33 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68))),
% 24.61/16.33 inference(modus_ponens,[status(thm)],[10645, 10644])).
% 24.61/16.33 tff(10647,plain,
% 24.61/16.33 ((~v90(constB68, bitIndex0)) | (~v100(constB68))),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10646, 1374, 10640])).
% 24.61/16.33 tff(10648,plain,
% 24.61/16.33 (~v90(constB68, bitIndex0)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10647, 10543])).
% 24.61/16.33 tff(10649,plain,
% 24.61/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10650,plain,
% 24.61/16.33 (((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0))) <=> (v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10651,plain,
% 24.61/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0))))),
% 24.61/16.33 inference(monotonicity,[status(thm)],[10650])).
% 24.61/16.33 tff(10652,plain,
% 24.61/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 24.61/16.33 inference(transitivity,[status(thm)],[10651, 10649])).
% 24.61/16.33 tff(10653,plain,
% 24.61/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 24.61/16.33 inference(quant_inst,[status(thm)],[])).
% 24.61/16.33 tff(10654,plain,
% 24.61/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0))),
% 24.61/16.33 inference(modus_ponens,[status(thm)],[10653, 10652])).
% 24.61/16.33 tff(10655,plain,
% 24.61/16.33 (v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0))),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10654, 934, 10571])).
% 24.61/16.33 tff(10656,plain,
% 24.61/16.33 (v90(constB68, bitIndex0) | (~v90(constB69, bitIndex0))),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10655, 10583])).
% 24.61/16.33 tff(10657,plain,
% 24.61/16.33 (~v90(constB69, bitIndex0)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10656, 10648])).
% 24.61/16.33 tff(10658,plain,
% 24.61/16.33 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex2) | v121(constB69))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex2) | v121(constB69))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10659,plain,
% 24.61/16.33 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex2) | v121(constB69))),
% 24.61/16.33 inference(quant_inst,[status(thm)],[])).
% 24.61/16.33 tff(10660,plain,
% 24.61/16.33 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex2) | v121(constB69)),
% 24.61/16.33 inference(modus_ponens,[status(thm)],[10659, 10658])).
% 24.61/16.33 tff(10661,plain,
% 24.61/16.33 (v121(constB69)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10660, 2145, 10657, 10623, 10592])).
% 24.61/16.33 tff(10662,plain,
% 24.61/16.33 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB69)) | (~v130(constB69, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB69)) | (~v130(constB69, bitIndex2)))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10663,plain,
% 24.61/16.33 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB69)) | (~v130(constB69, bitIndex2)))),
% 24.61/16.33 inference(quant_inst,[status(thm)],[])).
% 24.61/16.33 tff(10664,plain,
% 24.61/16.33 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB69)) | (~v130(constB69, bitIndex2))),
% 24.61/16.33 inference(modus_ponens,[status(thm)],[10663, 10662])).
% 24.61/16.33 tff(10665,plain,
% 24.61/16.33 (~v130(constB69, bitIndex2)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10664, 2406, 10661])).
% 24.61/16.33 tff(10666,assumption,(v26(constB69)), introduced(assumption)).
% 24.61/16.33 tff(10667,plain,
% 24.61/16.33 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB69))),
% 24.61/16.33 inference(quant_inst,[status(thm)],[])).
% 24.61/16.33 tff(10668,plain,
% 24.61/16.33 ($false),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10667, 797, 10666])).
% 24.61/16.33 tff(10669,plain,(~v26(constB69)), inference(lemma,lemma(discharge,[]))).
% 24.61/16.33 tff(10670,plain,
% 24.61/16.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10671,plain,
% 24.61/16.33 ((v26(constB69) | v130(constB69, bitIndex2) | (~v127(constB69, bitIndex2))) <=> ((~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10672,plain,
% 24.61/16.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB69) | v130(constB69, bitIndex2) | (~v127(constB69, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2)))),
% 24.61/16.33 inference(monotonicity,[status(thm)],[10671])).
% 24.61/16.33 tff(10673,plain,
% 24.61/16.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB69) | v130(constB69, bitIndex2) | (~v127(constB69, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2))),
% 24.61/16.33 inference(transitivity,[status(thm)],[10672, 10670])).
% 24.61/16.33 tff(10674,plain,
% 24.61/16.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB69) | v130(constB69, bitIndex2) | (~v127(constB69, bitIndex2)))),
% 24.61/16.33 inference(quant_inst,[status(thm)],[])).
% 24.61/16.33 tff(10675,plain,
% 24.61/16.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2)),
% 24.61/16.33 inference(modus_ponens,[status(thm)],[10674, 10673])).
% 24.61/16.33 tff(10676,plain,
% 24.61/16.33 ((~v127(constB69, bitIndex2)) | v130(constB69, bitIndex2)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10675, 1812, 10669])).
% 24.61/16.33 tff(10677,plain,
% 24.61/16.33 (~v127(constB69, bitIndex2)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10676, 10665])).
% 24.61/16.33 tff(10678,plain,
% 24.61/16.33 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10679,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_69_1')).
% 24.61/16.33 tff(10680,plain,
% 24.61/16.33 (nextState(constB69, constB70)),
% 24.61/16.33 inference(modus_ponens,[status(thm)],[10679, 10678])).
% 24.61/16.33 tff(10681,plain,
% 24.61/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB69, constB70)) | v127(constB69, bitIndex2) | (~v129(constB70, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB69, constB70)) | v127(constB69, bitIndex2) | (~v129(constB70, bitIndex2)))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10682,plain,
% 24.61/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB69, constB70)) | v127(constB69, bitIndex2) | (~v129(constB70, bitIndex2)))),
% 24.61/16.33 inference(quant_inst,[status(thm)],[])).
% 24.61/16.33 tff(10683,plain,
% 24.61/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB69, constB70)) | v127(constB69, bitIndex2) | (~v129(constB70, bitIndex2))),
% 24.61/16.33 inference(modus_ponens,[status(thm)],[10682, 10681])).
% 24.61/16.33 tff(10684,plain,
% 24.61/16.33 (v127(constB69, bitIndex2) | (~v129(constB70, bitIndex2))),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10683, 1830, 10680])).
% 24.61/16.33 tff(10685,plain,
% 24.61/16.33 (~v129(constB70, bitIndex2)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10684, 10677])).
% 24.61/16.33 tff(10686,assumption,(~v100(constB70)), introduced(assumption)).
% 24.61/16.33 tff(10687,plain,
% 24.61/16.33 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10688,plain,
% 24.61/16.33 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))),
% 24.61/16.33 inference(quant_inst,[status(thm)],[])).
% 24.61/16.33 tff(10689,plain,
% 24.61/16.33 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70))),
% 24.61/16.33 inference(modus_ponens,[status(thm)],[10688, 10687])).
% 24.61/16.33 tff(10690,plain,
% 24.61/16.33 (~v104(constB70)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10689, 1100, 10680, 10568])).
% 24.61/16.33 tff(10691,plain,
% 24.61/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10692,plain,
% 24.61/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))),
% 24.61/16.33 inference(quant_inst,[status(thm)],[])).
% 24.61/16.33 tff(10693,plain,
% 24.61/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v102(constB70) | v104(constB70)),
% 24.61/16.33 inference(modus_ponens,[status(thm)],[10692, 10691])).
% 24.61/16.33 tff(10694,plain,
% 24.61/16.33 (v102(constB70) | v104(constB70)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10693, 1114, 10680])).
% 24.61/16.33 tff(10695,plain,
% 24.61/16.33 (v102(constB70)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10694, 10690])).
% 24.61/16.33 tff(10696,plain,
% 24.61/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10697,plain,
% 24.61/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))),
% 24.61/16.33 inference(quant_inst,[status(thm)],[])).
% 24.61/16.33 tff(10698,plain,
% 24.61/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70))),
% 24.61/16.33 inference(modus_ponens,[status(thm)],[10697, 10696])).
% 24.61/16.33 tff(10699,plain,
% 24.61/16.33 (v101(constB70) | (~v102(constB70))),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10698, 1129, 10680, 130])).
% 24.61/16.33 tff(10700,plain,
% 24.61/16.33 (v101(constB70)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10699, 10695])).
% 24.61/16.33 tff(10701,plain,
% 24.61/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10702,plain,
% 24.61/16.33 (((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70)) <=> ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10703,plain,
% 24.61/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70))))),
% 24.61/16.33 inference(monotonicity,[status(thm)],[10702])).
% 24.61/16.33 tff(10704,plain,
% 24.61/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 24.61/16.33 inference(transitivity,[status(thm)],[10703, 10701])).
% 24.61/16.33 tff(10705,plain,
% 24.61/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))),
% 24.61/16.33 inference(quant_inst,[status(thm)],[])).
% 24.61/16.33 tff(10706,plain,
% 24.61/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 24.61/16.33 inference(modus_ponens,[status(thm)],[10705, 10704])).
% 24.61/16.33 tff(10707,plain,
% 24.61/16.33 (v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10706, 1144, 10680])).
% 24.61/16.33 tff(10708,plain,
% 24.61/16.33 (v100(constB70) | (~v110(constB70))),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10707, 10700])).
% 24.61/16.33 tff(10709,plain,
% 24.61/16.33 (~v110(constB70)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10708, 10686])).
% 24.61/16.33 tff(10710,plain,
% 24.61/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10711,plain,
% 24.61/16.33 (((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70)) <=> ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10712,plain,
% 24.61/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69))))),
% 24.61/16.33 inference(monotonicity,[status(thm)],[10711])).
% 24.61/16.33 tff(10713,plain,
% 24.61/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 24.61/16.33 inference(transitivity,[status(thm)],[10712, 10710])).
% 24.61/16.33 tff(10714,plain,
% 24.61/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))),
% 24.61/16.33 inference(quant_inst,[status(thm)],[])).
% 24.61/16.33 tff(10715,plain,
% 24.61/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69))),
% 24.61/16.33 inference(modus_ponens,[status(thm)],[10714, 10713])).
% 24.61/16.33 tff(10716,plain,
% 24.61/16.33 (v110(constB70) | (~v108(constB69))),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10715, 1082, 10680])).
% 24.61/16.33 tff(10717,plain,
% 24.61/16.33 (~v108(constB69)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10716, 10709])).
% 24.61/16.33 tff(10718,plain,
% 24.61/16.33 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB69) | (~v112(constB69)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB69) | (~v112(constB69)))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10719,plain,
% 24.61/16.33 (((~v112(constB69)) | v108(constB69)) <=> (v108(constB69) | (~v112(constB69)))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10720,plain,
% 24.61/16.33 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB69)) | v108(constB69))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB69) | (~v112(constB69))))),
% 24.61/16.33 inference(monotonicity,[status(thm)],[10719])).
% 24.61/16.33 tff(10721,plain,
% 24.61/16.33 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB69)) | v108(constB69))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB69) | (~v112(constB69)))),
% 24.61/16.33 inference(transitivity,[status(thm)],[10720, 10718])).
% 24.61/16.33 tff(10722,plain,
% 24.61/16.33 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB69)) | v108(constB69))),
% 24.61/16.33 inference(quant_inst,[status(thm)],[])).
% 24.61/16.33 tff(10723,plain,
% 24.61/16.33 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB69) | (~v112(constB69))),
% 24.61/16.33 inference(modus_ponens,[status(thm)],[10722, 10721])).
% 24.61/16.33 tff(10724,plain,
% 24.61/16.33 (~v112(constB69)),
% 24.61/16.33 inference(unit_resolution,[status(thm)],[10723, 1062, 10717])).
% 24.61/16.33 tff(10725,plain,
% 24.61/16.33 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | v112(constB69) | (~v113(constB69)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | v112(constB69) | (~v113(constB69)))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10726,plain,
% 24.61/16.33 ((v26(constB69) | (~v113(constB69)) | v112(constB69)) <=> (v26(constB69) | v112(constB69) | (~v113(constB69)))),
% 24.61/16.33 inference(rewrite,[status(thm)],[])).
% 24.61/16.33 tff(10727,plain,
% 24.61/16.33 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | v112(constB69) | (~v113(constB69))))),
% 24.61/16.33 inference(monotonicity,[status(thm)],[10726])).
% 24.61/16.33 tff(10728,plain,
% 24.61/16.33 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | v112(constB69) | (~v113(constB69)))),
% 24.61/16.33 inference(transitivity,[status(thm)],[10727, 10725])).
% 24.61/16.33 tff(10729,plain,
% 24.61/16.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))),
% 24.61/16.33 inference(quant_inst,[status(thm)],[])).
% 24.61/16.33 tff(10730,plain,
% 24.61/16.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | v112(constB69) | (~v113(constB69))),
% 24.61/16.33 inference(modus_ponens,[status(thm)],[10729, 10728])).
% 24.61/16.33 tff(10731,plain,
% 24.61/16.33 (v112(constB69) | (~v113(constB69))),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10730, 1050, 10669])).
% 24.61/16.34 tff(10732,plain,
% 24.61/16.34 (~v113(constB69)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10731, 10724])).
% 24.61/16.34 tff(10733,assumption,(~v113(constB69)), introduced(assumption)).
% 24.61/16.34 tff(10734,plain,
% 24.61/16.34 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB69) | (~v114(constB69)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB69) | (~v114(constB69)))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10735,plain,
% 24.61/16.34 (((~v114(constB69)) | v113(constB69)) <=> (v113(constB69) | (~v114(constB69)))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10736,plain,
% 24.61/16.34 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB69)) | v113(constB69))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB69) | (~v114(constB69))))),
% 24.61/16.34 inference(monotonicity,[status(thm)],[10735])).
% 24.61/16.34 tff(10737,plain,
% 24.61/16.34 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB69)) | v113(constB69))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB69) | (~v114(constB69)))),
% 24.61/16.34 inference(transitivity,[status(thm)],[10736, 10734])).
% 24.61/16.34 tff(10738,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB69)) | v113(constB69))),
% 24.61/16.34 inference(quant_inst,[status(thm)],[])).
% 24.61/16.34 tff(10739,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB69) | (~v114(constB69))),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10738, 10737])).
% 24.61/16.34 tff(10740,plain,
% 24.61/16.34 (~v114(constB69)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10739, 1036, 10733])).
% 24.61/16.34 tff(10741,plain,
% 24.61/16.34 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB69) | (~v115(constB69)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB69) | (~v115(constB69)))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10742,plain,
% 24.61/16.34 (((~v115(constB69)) | v114(constB69)) <=> (v114(constB69) | (~v115(constB69)))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10743,plain,
% 24.61/16.34 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB69)) | v114(constB69))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB69) | (~v115(constB69))))),
% 24.61/16.34 inference(monotonicity,[status(thm)],[10742])).
% 24.61/16.34 tff(10744,plain,
% 24.61/16.34 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB69)) | v114(constB69))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB69) | (~v115(constB69)))),
% 24.61/16.34 inference(transitivity,[status(thm)],[10743, 10741])).
% 24.61/16.34 tff(10745,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB69)) | v114(constB69))),
% 24.61/16.34 inference(quant_inst,[status(thm)],[])).
% 24.61/16.34 tff(10746,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB69) | (~v115(constB69))),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10745, 10744])).
% 24.61/16.34 tff(10747,plain,
% 24.61/16.34 (~v115(constB69)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10746, 1022, 10740])).
% 24.61/16.34 tff(10748,plain,
% 24.61/16.34 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB69)) | v115(constB69))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB69)) | v115(constB69))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10749,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB69)) | v115(constB69))),
% 24.61/16.34 inference(quant_inst,[status(thm)],[])).
% 24.61/16.34 tff(10750,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB69)) | v115(constB69)),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10749, 10748])).
% 24.61/16.34 tff(10751,plain,
% 24.61/16.34 (~v116(constB69)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10750, 1008, 10747])).
% 24.61/16.34 tff(10752,plain,
% 24.61/16.34 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB69)) | v116(constB69))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB69)) | v116(constB69))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10753,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB69)) | v116(constB69))),
% 24.61/16.34 inference(quant_inst,[status(thm)],[])).
% 24.61/16.34 tff(10754,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB69)) | v116(constB69)),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10753, 10752])).
% 24.61/16.34 tff(10755,plain,
% 24.61/16.34 (~v117(constB69)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10754, 994, 10751])).
% 24.61/16.34 tff(10756,plain,
% 24.61/16.34 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB69)) | v117(constB69))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB69)) | v117(constB69))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10757,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB69)) | v117(constB69))),
% 24.61/16.34 inference(quant_inst,[status(thm)],[])).
% 24.61/16.34 tff(10758,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB69)) | v117(constB69)),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10757, 10756])).
% 24.61/16.34 tff(10759,plain,
% 24.61/16.34 (~v118(constB69)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10758, 980, 10755])).
% 24.61/16.34 tff(10760,plain,
% 24.61/16.34 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB69)) | v118(constB69))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB69)) | v118(constB69))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10761,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB69)) | v118(constB69))),
% 24.61/16.34 inference(quant_inst,[status(thm)],[])).
% 24.61/16.34 tff(10762,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB69)) | v118(constB69)),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10761, 10760])).
% 24.61/16.34 tff(10763,plain,
% 24.61/16.34 (~v120(constB69)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10762, 2210, 10759])).
% 24.61/16.34 tff(10764,plain,
% 24.61/16.34 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB69)) | v115(constB69))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB69)) | v115(constB69))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10765,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB69)) | v115(constB69))),
% 24.61/16.34 inference(quant_inst,[status(thm)],[])).
% 24.61/16.34 tff(10766,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB69)) | v115(constB69)),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10765, 10764])).
% 24.61/16.34 tff(10767,plain,
% 24.61/16.34 (~v123(constB69)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10766, 1412, 10747])).
% 24.61/16.34 tff(10768,assumption,(~v90(constB70, bitIndex1)), introduced(assumption)).
% 24.61/16.34 tff(10769,plain,
% 24.61/16.34 (^[VarCurr: state_type] : refl((v113(VarCurr) | (~v112(VarCurr))) <=> (v113(VarCurr) | (~v112(VarCurr))))),
% 24.61/16.34 inference(bind,[status(th)],[])).
% 24.61/16.34 tff(10770,plain,
% 24.61/16.34 (![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 24.61/16.34 inference(quant_intro,[status(thm)],[10769])).
% 24.61/16.34 tff(10771,plain,
% 24.61/16.34 (![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10772,plain,
% 24.61/16.34 (^[VarCurr: state_type] : rewrite(((~v112(VarCurr)) | v113(VarCurr)) <=> (v113(VarCurr) | (~v112(VarCurr))))),
% 24.61/16.34 inference(bind,[status(th)],[])).
% 24.61/16.34 tff(10773,plain,
% 24.61/16.34 (![VarCurr: state_type] : ((~v112(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 24.61/16.34 inference(quant_intro,[status(thm)],[10772])).
% 24.61/16.34 tff(10774,axiom,(![VarCurr: state_type] : ((~v112(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_2')).
% 24.61/16.34 tff(10775,plain,
% 24.61/16.34 (![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10774, 10773])).
% 24.61/16.34 tff(10776,plain,
% 24.61/16.34 (![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10775, 10771])).
% 24.61/16.34 tff(10777,plain,(
% 24.61/16.34 ![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 24.61/16.34 inference(skolemize,[status(sab)],[10776])).
% 24.61/16.34 tff(10778,plain,
% 24.61/16.34 (![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10777, 10770])).
% 24.61/16.34 tff(10779,plain,
% 24.61/16.34 (((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB69) | (~v112(constB69)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB69) | (~v112(constB69)))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10780,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB69) | (~v112(constB69)))),
% 24.61/16.34 inference(quant_inst,[status(thm)],[])).
% 24.61/16.34 tff(10781,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB69) | (~v112(constB69))),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10780, 10779])).
% 24.61/16.34 tff(10782,plain,
% 24.61/16.34 (~v112(constB69)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10781, 10778, 10733])).
% 24.61/16.34 tff(10783,plain,
% 24.61/16.34 (^[VarCurr: state_type] : refl((v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))))),
% 24.61/16.34 inference(bind,[status(th)],[])).
% 24.61/16.34 tff(10784,plain,
% 24.61/16.34 (![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 24.61/16.34 inference(quant_intro,[status(thm)],[10783])).
% 24.61/16.34 tff(10785,plain,
% 24.61/16.34 (![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10786,plain,
% 24.61/16.34 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v108(VarCurr)) | v26(VarCurr)) <=> (v26(VarCurr) | (~v108(VarCurr)))), ((((~v108(VarCurr)) | v26(VarCurr)) | v112(VarCurr)) <=> ((v26(VarCurr) | (~v108(VarCurr))) | v112(VarCurr)))), rewrite(((v26(VarCurr) | (~v108(VarCurr))) | v112(VarCurr)) <=> (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))), ((((~v108(VarCurr)) | v26(VarCurr)) | v112(VarCurr)) <=> (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))))),
% 24.61/16.34 inference(bind,[status(th)],[])).
% 24.61/16.34 tff(10787,plain,
% 24.61/16.34 (![VarCurr: state_type] : (((~v108(VarCurr)) | v26(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 24.61/16.34 inference(quant_intro,[status(thm)],[10786])).
% 24.61/16.34 tff(10788,axiom,(![VarCurr: state_type] : (((~v108(VarCurr)) | v26(VarCurr)) | v112(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_3')).
% 24.61/16.34 tff(10789,plain,
% 24.61/16.34 (![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10788, 10787])).
% 24.61/16.34 tff(10790,plain,
% 24.61/16.34 (![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10789, 10785])).
% 24.61/16.34 tff(10791,plain,(
% 24.61/16.34 ![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 24.61/16.34 inference(skolemize,[status(sab)],[10790])).
% 24.61/16.34 tff(10792,plain,
% 24.61/16.34 (![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10791, 10784])).
% 24.61/16.34 tff(10793,plain,
% 24.61/16.34 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB69)) | v26(constB69) | v112(constB69))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB69)) | v26(constB69) | v112(constB69))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10794,plain,
% 24.61/16.34 ((v26(constB69) | v112(constB69) | (~v108(constB69))) <=> ((~v108(constB69)) | v26(constB69) | v112(constB69))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10795,plain,
% 24.61/16.34 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB69) | v112(constB69) | (~v108(constB69)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB69)) | v26(constB69) | v112(constB69)))),
% 24.61/16.34 inference(monotonicity,[status(thm)],[10794])).
% 24.61/16.34 tff(10796,plain,
% 24.61/16.34 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB69) | v112(constB69) | (~v108(constB69)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB69)) | v26(constB69) | v112(constB69))),
% 24.61/16.34 inference(transitivity,[status(thm)],[10795, 10793])).
% 24.61/16.34 tff(10797,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB69) | v112(constB69) | (~v108(constB69)))),
% 24.61/16.34 inference(quant_inst,[status(thm)],[])).
% 24.61/16.34 tff(10798,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB69)) | v26(constB69) | v112(constB69)),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10797, 10796])).
% 24.61/16.34 tff(10799,plain,
% 24.61/16.34 ((~v108(constB69)) | v112(constB69)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10798, 10792, 10669])).
% 24.61/16.34 tff(10800,plain,
% 24.61/16.34 (~v108(constB69)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10799, 10782])).
% 24.61/16.34 tff(10801,plain,
% 24.61/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB69, constB70)) | (~v110(constB70)) | v108(constB69))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB69, constB70)) | (~v110(constB70)) | v108(constB69))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10802,plain,
% 24.61/16.34 (((~nextState(constB69, constB70)) | v108(constB69) | (~v110(constB70))) <=> ((~nextState(constB69, constB70)) | (~v110(constB70)) | v108(constB69))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10803,plain,
% 24.61/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB69, constB70)) | v108(constB69) | (~v110(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB69, constB70)) | (~v110(constB70)) | v108(constB69)))),
% 24.61/16.34 inference(monotonicity,[status(thm)],[10802])).
% 24.61/16.34 tff(10804,plain,
% 24.61/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB69, constB70)) | v108(constB69) | (~v110(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB69, constB70)) | (~v110(constB70)) | v108(constB69))),
% 24.61/16.34 inference(transitivity,[status(thm)],[10803, 10801])).
% 24.61/16.34 tff(10805,plain,
% 24.61/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB69, constB70)) | v108(constB69) | (~v110(constB70)))),
% 24.61/16.34 inference(quant_inst,[status(thm)],[])).
% 24.61/16.34 tff(10806,plain,
% 24.61/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB69, constB70)) | (~v110(constB70)) | v108(constB69)),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10805, 10804])).
% 24.61/16.34 tff(10807,plain,
% 24.61/16.34 ((~v110(constB70)) | v108(constB69)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10806, 5614, 10680])).
% 24.61/16.34 tff(10808,plain,
% 24.61/16.34 (~v110(constB70)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10807, 10800])).
% 24.61/16.34 tff(10809,plain,
% 24.61/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB69, constB70)) | v110(constB70) | (~v100(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v100(constB70)))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10810,plain,
% 24.61/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB69, constB70)) | v110(constB70) | (~v100(constB70)))),
% 24.61/16.34 inference(quant_inst,[status(thm)],[])).
% 24.61/16.34 tff(10811,plain,
% 24.61/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v100(constB70))),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10810, 10809])).
% 24.61/16.34 tff(10812,plain,
% 24.61/16.34 (v110(constB70) | (~v100(constB70))),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10811, 5632, 10680])).
% 24.61/16.34 tff(10813,plain,
% 24.61/16.34 (~v100(constB70)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10812, 10808])).
% 24.61/16.34 tff(10814,plain,
% 24.61/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB69, bitIndex1)) | (~nextState(constB69, constB70)) | v100(constB70) | v90(constB70, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB69, bitIndex1)) | (~nextState(constB69, constB70)) | v100(constB70) | v90(constB70, bitIndex1))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10815,plain,
% 24.61/16.34 (((~nextState(constB69, constB70)) | (~v90(constB69, bitIndex1)) | v100(constB70) | v90(constB70, bitIndex1)) <=> ((~v90(constB69, bitIndex1)) | (~nextState(constB69, constB70)) | v100(constB70) | v90(constB70, bitIndex1))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10816,plain,
% 24.61/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB69, constB70)) | (~v90(constB69, bitIndex1)) | v100(constB70) | v90(constB70, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB69, bitIndex1)) | (~nextState(constB69, constB70)) | v100(constB70) | v90(constB70, bitIndex1)))),
% 24.61/16.34 inference(monotonicity,[status(thm)],[10815])).
% 24.61/16.34 tff(10817,plain,
% 24.61/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB69, constB70)) | (~v90(constB69, bitIndex1)) | v100(constB70) | v90(constB70, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB69, bitIndex1)) | (~nextState(constB69, constB70)) | v100(constB70) | v90(constB70, bitIndex1))),
% 24.61/16.34 inference(transitivity,[status(thm)],[10816, 10814])).
% 24.61/16.34 tff(10818,plain,
% 24.61/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB69, constB70)) | (~v90(constB69, bitIndex1)) | v100(constB70) | v90(constB70, bitIndex1))),
% 24.61/16.34 inference(quant_inst,[status(thm)],[])).
% 24.61/16.34 tff(10819,plain,
% 24.61/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB69, bitIndex1)) | (~nextState(constB69, constB70)) | v100(constB70) | v90(constB70, bitIndex1)),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10818, 10817])).
% 24.61/16.34 tff(10820,plain,
% 24.61/16.34 ((~v90(constB69, bitIndex1)) | v100(constB70) | v90(constB70, bitIndex1)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10819, 1601, 10680])).
% 24.61/16.34 tff(10821,plain,
% 24.61/16.34 (~v90(constB69, bitIndex1)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10820, 10813, 10768])).
% 24.61/16.34 tff(10822,plain,
% 24.61/16.34 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB69)) | v118(constB69))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB69)) | v118(constB69))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10823,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB69)) | v118(constB69))),
% 24.61/16.34 inference(quant_inst,[status(thm)],[])).
% 24.61/16.34 tff(10824,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB69)) | v118(constB69)),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10823, 10822])).
% 24.61/16.34 tff(10825,plain,
% 24.61/16.34 (~v119(constB69)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10824, 969, 10759])).
% 24.61/16.34 tff(10826,assumption,(~v119(constB69)), introduced(assumption)).
% 24.61/16.34 tff(10827,assumption,(~v90(constB69, bitIndex0)), introduced(assumption)).
% 24.61/16.34 tff(10828,assumption,(~v123(constB69)), introduced(assumption)).
% 24.61/16.34 tff(10829,assumption,(~v90(constB69, bitIndex1)), introduced(assumption)).
% 24.61/16.34 tff(10830,plain,
% 24.61/16.34 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v123(constB69))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v123(constB69))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10831,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v123(constB69))),
% 24.61/16.34 inference(quant_inst,[status(thm)],[])).
% 24.61/16.34 tff(10832,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v123(constB69)),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10831, 10830])).
% 24.61/16.34 tff(10833,plain,
% 24.61/16.34 (v90(constB69, bitIndex0) | (~v90(constB69, bitIndex2)) | v123(constB69)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10832, 1401, 10829])).
% 24.61/16.34 tff(10834,plain,
% 24.61/16.34 (~v90(constB69, bitIndex2)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10833, 10827, 10828])).
% 24.61/16.34 tff(10835,plain,
% 24.61/16.34 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | v90(constB69, bitIndex2) | v119(constB69))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | v90(constB69, bitIndex2) | v119(constB69))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10836,plain,
% 24.61/16.34 ((v90(constB69, bitIndex0) | v119(constB69) | v90(constB69, bitIndex1) | v90(constB69, bitIndex2)) <=> (v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | v90(constB69, bitIndex2) | v119(constB69))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10837,plain,
% 24.61/16.34 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB69, bitIndex0) | v119(constB69) | v90(constB69, bitIndex1) | v90(constB69, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | v90(constB69, bitIndex2) | v119(constB69)))),
% 24.61/16.34 inference(monotonicity,[status(thm)],[10836])).
% 24.61/16.34 tff(10838,plain,
% 24.61/16.34 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB69, bitIndex0) | v119(constB69) | v90(constB69, bitIndex1) | v90(constB69, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | v90(constB69, bitIndex2) | v119(constB69))),
% 24.61/16.34 inference(transitivity,[status(thm)],[10837, 10835])).
% 24.61/16.34 tff(10839,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB69, bitIndex0) | v119(constB69) | v90(constB69, bitIndex1) | v90(constB69, bitIndex2))),
% 24.61/16.34 inference(quant_inst,[status(thm)],[])).
% 24.61/16.34 tff(10840,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | v90(constB69, bitIndex2) | v119(constB69)),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10839, 10838])).
% 24.61/16.34 tff(10841,plain,
% 24.61/16.34 (v90(constB69, bitIndex0) | v90(constB69, bitIndex2) | v119(constB69)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10840, 955, 10829])).
% 24.61/16.34 tff(10842,plain,
% 24.61/16.34 ($false),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10841, 10834, 10827, 10826])).
% 24.61/16.34 tff(10843,plain,(v90(constB69, bitIndex0) | v119(constB69) | v90(constB69, bitIndex1) | v123(constB69)), inference(lemma,lemma(discharge,[]))).
% 24.61/16.34 tff(10844,plain,
% 24.61/16.34 (v90(constB69, bitIndex0)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10843, 10825, 10821, 10767])).
% 24.61/16.34 tff(10845,plain,
% 24.61/16.34 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB69)) | v114(constB69))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB69)) | v114(constB69))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10846,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB69)) | v114(constB69))),
% 24.61/16.34 inference(quant_inst,[status(thm)],[])).
% 24.61/16.34 tff(10847,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB69)) | v114(constB69)),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10846, 10845])).
% 24.61/16.34 tff(10848,plain,
% 24.61/16.34 (~v124(constB69)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10847, 4721, 10740])).
% 24.61/16.34 tff(10849,plain,
% 24.61/16.34 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB69, bitIndex0)) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v124(constB69))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB69, bitIndex0)) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v124(constB69))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10850,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB69, bitIndex0)) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v124(constB69))),
% 24.61/16.34 inference(quant_inst,[status(thm)],[])).
% 24.61/16.34 tff(10851,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB69, bitIndex0)) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v124(constB69)),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10850, 10849])).
% 24.61/16.34 tff(10852,plain,
% 24.61/16.34 ((~v90(constB69, bitIndex0)) | (~v90(constB69, bitIndex2))),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10851, 4735, 10821, 10848])).
% 24.61/16.34 tff(10853,plain,
% 24.61/16.34 (~v90(constB69, bitIndex2)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10852, 10844])).
% 24.61/16.34 tff(10854,plain,
% 24.61/16.34 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB69, bitIndex0)) | v90(constB69, bitIndex1) | v90(constB69, bitIndex2) | v120(constB69))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB69, bitIndex0)) | v90(constB69, bitIndex1) | v90(constB69, bitIndex2) | v120(constB69))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10855,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB69, bitIndex0)) | v90(constB69, bitIndex1) | v90(constB69, bitIndex2) | v120(constB69))),
% 24.61/16.34 inference(quant_inst,[status(thm)],[])).
% 24.61/16.34 tff(10856,plain,
% 24.61/16.34 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB69, bitIndex0)) | v90(constB69, bitIndex1) | v90(constB69, bitIndex2) | v120(constB69)),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10855, 10854])).
% 24.61/16.34 tff(10857,plain,
% 24.61/16.34 ((~v90(constB69, bitIndex0)) | v90(constB69, bitIndex2) | v120(constB69)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10856, 2012, 10821])).
% 24.61/16.34 tff(10858,plain,
% 24.61/16.34 ($false),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10857, 10853, 10844, 10763])).
% 24.61/16.34 tff(10859,plain,(v113(constB69) | v90(constB70, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 24.61/16.34 tff(10860,plain,
% 24.61/16.34 (v90(constB70, bitIndex1)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10859, 10732])).
% 24.61/16.34 tff(10861,plain,
% 24.61/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB69, bitIndex1) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB69, bitIndex1) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex1)))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10862,plain,
% 24.61/16.34 (((~nextState(constB69, constB70)) | v90(constB69, bitIndex1) | v100(constB70) | (~v90(constB70, bitIndex1))) <=> (v90(constB69, bitIndex1) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex1)))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10863,plain,
% 24.61/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB69, constB70)) | v90(constB69, bitIndex1) | v100(constB70) | (~v90(constB70, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB69, bitIndex1) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex1))))),
% 24.61/16.34 inference(monotonicity,[status(thm)],[10862])).
% 24.61/16.34 tff(10864,plain,
% 24.61/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB69, constB70)) | v90(constB69, bitIndex1) | v100(constB70) | (~v90(constB70, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB69, bitIndex1) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex1)))),
% 24.61/16.34 inference(transitivity,[status(thm)],[10863, 10861])).
% 24.61/16.34 tff(10865,plain,
% 24.61/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB69, constB70)) | v90(constB69, bitIndex1) | v100(constB70) | (~v90(constB70, bitIndex1)))),
% 24.61/16.34 inference(quant_inst,[status(thm)],[])).
% 24.61/16.34 tff(10866,plain,
% 24.61/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB69, bitIndex1) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex1))),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10865, 10864])).
% 24.61/16.34 tff(10867,plain,
% 24.61/16.34 (v90(constB69, bitIndex1) | v100(constB70) | (~v90(constB70, bitIndex1))),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10866, 913, 10680])).
% 24.61/16.34 tff(10868,plain,
% 24.61/16.34 (v90(constB69, bitIndex1)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10867, 10860, 10686])).
% 24.61/16.34 tff(10869,plain,
% 24.61/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1)))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10870,plain,
% 24.61/16.34 (((~nextState(constB68, constB69)) | v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1))) <=> (v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1)))),
% 24.61/16.34 inference(rewrite,[status(thm)],[])).
% 24.61/16.34 tff(10871,plain,
% 24.61/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1))))),
% 24.61/16.34 inference(monotonicity,[status(thm)],[10870])).
% 24.61/16.34 tff(10872,plain,
% 24.61/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1)))),
% 24.61/16.34 inference(transitivity,[status(thm)],[10871, 10869])).
% 24.61/16.34 tff(10873,plain,
% 24.61/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1)))),
% 24.61/16.34 inference(quant_inst,[status(thm)],[])).
% 24.61/16.34 tff(10874,plain,
% 24.61/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1))),
% 24.61/16.34 inference(modus_ponens,[status(thm)],[10873, 10872])).
% 24.61/16.34 tff(10875,plain,
% 24.61/16.34 (v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1))),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10874, 913, 10571])).
% 24.61/16.34 tff(10876,plain,
% 24.61/16.34 (v90(constB68, bitIndex1) | (~v90(constB69, bitIndex1))),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10875, 10583])).
% 24.61/16.34 tff(10877,plain,
% 24.61/16.34 (v90(constB68, bitIndex1)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10876, 10868])).
% 24.61/16.34 tff(10878,plain,
% 24.61/16.34 (~v114(constB69)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10739, 1036, 10732])).
% 24.61/16.34 tff(10879,plain,
% 24.61/16.34 (~v115(constB69)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10746, 1022, 10878])).
% 24.61/16.34 tff(10880,plain,
% 24.61/16.34 (~v116(constB69)),
% 24.61/16.34 inference(unit_resolution,[status(thm)],[10750, 1008, 10879])).
% 24.61/16.35 tff(10881,plain,
% 24.61/16.35 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB69)) | v116(constB69))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB69)) | v116(constB69))),
% 24.61/16.35 inference(rewrite,[status(thm)],[])).
% 24.61/16.35 tff(10882,plain,
% 24.61/16.35 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB69)) | v116(constB69))),
% 24.61/16.35 inference(quant_inst,[status(thm)],[])).
% 24.61/16.35 tff(10883,plain,
% 24.61/16.35 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB69)) | v116(constB69)),
% 24.61/16.35 inference(modus_ponens,[status(thm)],[10882, 10881])).
% 24.61/16.35 tff(10884,plain,
% 24.61/16.35 (~v122(constB69)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10883, 2652, 10880])).
% 24.61/16.35 tff(10885,plain,
% 24.61/16.35 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB69)) | v113(constB69))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB69)) | v113(constB69))),
% 24.61/16.35 inference(rewrite,[status(thm)],[])).
% 24.61/16.35 tff(10886,plain,
% 24.61/16.35 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB69)) | v113(constB69))),
% 24.61/16.35 inference(quant_inst,[status(thm)],[])).
% 24.61/16.35 tff(10887,plain,
% 24.61/16.35 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB69)) | v113(constB69)),
% 24.61/16.35 inference(modus_ponens,[status(thm)],[10886, 10885])).
% 24.61/16.35 tff(10888,plain,
% 24.61/16.35 (~v125(constB69)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10887, 1672, 10732])).
% 24.61/16.35 tff(10889,plain,
% 24.61/16.35 (~v117(constB69)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10754, 994, 10880])).
% 24.61/16.35 tff(10890,plain,
% 24.61/16.35 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB69)) | v117(constB69))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB69)) | v117(constB69))),
% 24.61/16.35 inference(rewrite,[status(thm)],[])).
% 24.61/16.35 tff(10891,plain,
% 24.61/16.35 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB69)) | v117(constB69))),
% 24.61/16.35 inference(quant_inst,[status(thm)],[])).
% 24.61/16.35 tff(10892,plain,
% 24.61/16.35 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB69)) | v117(constB69)),
% 24.61/16.35 inference(modus_ponens,[status(thm)],[10891, 10890])).
% 24.61/16.35 tff(10893,plain,
% 24.61/16.35 (~v121(constB69)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10892, 2102, 10889])).
% 24.61/16.35 tff(10894,assumption,(~v121(constB69)), introduced(assumption)).
% 24.61/16.35 tff(10895,assumption,(~v125(constB69)), introduced(assumption)).
% 24.61/16.35 tff(10896,assumption,(v90(constB69, bitIndex1)), introduced(assumption)).
% 24.61/16.35 tff(10897,plain,
% 24.61/16.35 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)) | (~v90(constB69, bitIndex2)) | v125(constB69))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)) | (~v90(constB69, bitIndex2)) | v125(constB69))),
% 24.61/16.35 inference(rewrite,[status(thm)],[])).
% 24.61/16.35 tff(10898,plain,
% 24.61/16.35 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)) | (~v90(constB69, bitIndex2)) | v125(constB69))),
% 24.61/16.35 inference(quant_inst,[status(thm)],[])).
% 24.61/16.35 tff(10899,plain,
% 24.61/16.35 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)) | (~v90(constB69, bitIndex2)) | v125(constB69)),
% 24.61/16.35 inference(modus_ponens,[status(thm)],[10898, 10897])).
% 24.61/16.35 tff(10900,plain,
% 24.61/16.35 (v90(constB69, bitIndex0) | (~v90(constB69, bitIndex2)) | v125(constB69)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10899, 1661, 10896])).
% 24.61/16.35 tff(10901,plain,
% 24.61/16.35 (~v90(constB69, bitIndex2)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10900, 10827, 10895])).
% 24.61/16.35 tff(10902,plain,
% 24.61/16.35 (v90(constB69, bitIndex0) | v90(constB69, bitIndex2) | v121(constB69)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10660, 2145, 10896])).
% 24.61/16.35 tff(10903,plain,
% 24.61/16.35 ($false),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10902, 10901, 10827, 10894])).
% 24.61/16.35 tff(10904,plain,(v90(constB69, bitIndex0) | v121(constB69) | (~v90(constB69, bitIndex1)) | v125(constB69)), inference(lemma,lemma(discharge,[]))).
% 24.61/16.35 tff(10905,plain,
% 24.61/16.35 (v90(constB69, bitIndex0)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10904, 10893, 10868, 10888])).
% 24.61/16.35 tff(10906,plain,
% 24.61/16.35 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB69, bitIndex0)) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex2) | v122(constB69))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB69, bitIndex0)) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex2) | v122(constB69))),
% 24.61/16.35 inference(rewrite,[status(thm)],[])).
% 24.61/16.35 tff(10907,plain,
% 24.61/16.35 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB69, bitIndex0)) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex2) | v122(constB69))),
% 24.61/16.35 inference(quant_inst,[status(thm)],[])).
% 24.61/16.35 tff(10908,plain,
% 24.61/16.35 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB69, bitIndex0)) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex2) | v122(constB69)),
% 24.61/16.35 inference(modus_ponens,[status(thm)],[10907, 10906])).
% 24.61/16.35 tff(10909,plain,
% 24.61/16.35 ((~v90(constB69, bitIndex0)) | v90(constB69, bitIndex2) | v122(constB69)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10908, 2641, 10868])).
% 24.61/16.35 tff(10910,plain,
% 24.61/16.35 (v90(constB69, bitIndex2)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10909, 10905, 10884])).
% 24.61/16.35 tff(10911,plain,
% 24.61/16.35 (v90(constB68, bitIndex2)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10591, 10910])).
% 24.61/16.35 tff(10912,plain,
% 24.61/16.35 (v90(constB68, bitIndex0)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10656, 10905])).
% 24.61/16.35 tff(10913,assumption,(v90(constB68, bitIndex2)), introduced(assumption)).
% 24.61/16.35 tff(10914,assumption,(~v100(constB68)), introduced(assumption)).
% 24.61/16.35 tff(10915,plain,
% 24.61/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB67, bitIndex2) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB67, bitIndex2) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex2)))),
% 24.61/16.35 inference(rewrite,[status(thm)],[])).
% 24.61/16.35 tff(10916,plain,
% 24.61/16.35 (((~nextState(constB67, constB68)) | v90(constB67, bitIndex2) | v100(constB68) | (~v90(constB68, bitIndex2))) <=> (v90(constB67, bitIndex2) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex2)))),
% 24.61/16.35 inference(rewrite,[status(thm)],[])).
% 24.61/16.35 tff(10917,plain,
% 24.61/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB67, constB68)) | v90(constB67, bitIndex2) | v100(constB68) | (~v90(constB68, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB67, bitIndex2) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex2))))),
% 24.61/16.35 inference(monotonicity,[status(thm)],[10916])).
% 24.61/16.35 tff(10918,plain,
% 24.61/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB67, constB68)) | v90(constB67, bitIndex2) | v100(constB68) | (~v90(constB68, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB67, bitIndex2) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex2)))),
% 24.61/16.35 inference(transitivity,[status(thm)],[10917, 10915])).
% 24.61/16.35 tff(10919,plain,
% 24.61/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB67, constB68)) | v90(constB67, bitIndex2) | v100(constB68) | (~v90(constB68, bitIndex2)))),
% 24.61/16.35 inference(quant_inst,[status(thm)],[])).
% 24.61/16.35 tff(10920,plain,
% 24.61/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB67, bitIndex2) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex2))),
% 24.61/16.35 inference(modus_ponens,[status(thm)],[10919, 10918])).
% 24.61/16.35 tff(10921,plain,
% 24.61/16.35 (v90(constB67, bitIndex2) | v100(constB68) | (~v90(constB68, bitIndex2))),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10920, 892, 10509])).
% 24.61/16.35 tff(10922,plain,
% 24.61/16.35 (v90(constB67, bitIndex2)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10921, 10914, 10913])).
% 24.61/16.35 tff(10923,plain,
% 24.61/16.35 (v90(constB66, bitIndex2)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10383, 10922])).
% 24.61/16.35 tff(10924,assumption,(v90(constB68, bitIndex0)), introduced(assumption)).
% 24.61/16.35 tff(10925,plain,
% 24.61/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB67, bitIndex0) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB67, bitIndex0) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex0)))),
% 24.61/16.35 inference(rewrite,[status(thm)],[])).
% 24.61/16.35 tff(10926,plain,
% 24.61/16.35 (((~nextState(constB67, constB68)) | v90(constB67, bitIndex0) | v100(constB68) | (~v90(constB68, bitIndex0))) <=> (v90(constB67, bitIndex0) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex0)))),
% 24.61/16.35 inference(rewrite,[status(thm)],[])).
% 24.61/16.35 tff(10927,plain,
% 24.61/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v90(constB67, bitIndex0) | v100(constB68) | (~v90(constB68, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB67, bitIndex0) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex0))))),
% 24.61/16.35 inference(monotonicity,[status(thm)],[10926])).
% 24.61/16.35 tff(10928,plain,
% 24.61/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v90(constB67, bitIndex0) | v100(constB68) | (~v90(constB68, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB67, bitIndex0) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex0)))),
% 24.61/16.35 inference(transitivity,[status(thm)],[10927, 10925])).
% 24.61/16.35 tff(10929,plain,
% 24.61/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v90(constB67, bitIndex0) | v100(constB68) | (~v90(constB68, bitIndex0)))),
% 24.61/16.35 inference(quant_inst,[status(thm)],[])).
% 24.61/16.35 tff(10930,plain,
% 24.61/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB67, bitIndex0) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex0))),
% 24.61/16.35 inference(modus_ponens,[status(thm)],[10929, 10928])).
% 24.61/16.35 tff(10931,plain,
% 24.61/16.35 (v90(constB67, bitIndex0) | v100(constB68) | (~v90(constB68, bitIndex0))),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10930, 934, 10509])).
% 24.61/16.35 tff(10932,plain,
% 24.61/16.35 (v90(constB67, bitIndex0)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10931, 10914, 10924])).
% 24.61/16.35 tff(10933,plain,
% 24.61/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex0)))),
% 24.61/16.35 inference(rewrite,[status(thm)],[])).
% 24.61/16.35 tff(10934,plain,
% 24.61/16.35 (((~nextState(constB66, constB67)) | v90(constB66, bitIndex0) | v100(constB67) | (~v90(constB67, bitIndex0))) <=> (v90(constB66, bitIndex0) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex0)))),
% 24.61/16.35 inference(rewrite,[status(thm)],[])).
% 24.61/16.35 tff(10935,plain,
% 24.61/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex0) | v100(constB67) | (~v90(constB67, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex0))))),
% 24.61/16.35 inference(monotonicity,[status(thm)],[10934])).
% 24.61/16.35 tff(10936,plain,
% 24.61/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex0) | v100(constB67) | (~v90(constB67, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex0)))),
% 24.61/16.35 inference(transitivity,[status(thm)],[10935, 10933])).
% 24.61/16.35 tff(10937,plain,
% 24.61/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex0) | v100(constB67) | (~v90(constB67, bitIndex0)))),
% 24.61/16.35 inference(quant_inst,[status(thm)],[])).
% 24.61/16.35 tff(10938,plain,
% 24.61/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex0))),
% 24.61/16.35 inference(modus_ponens,[status(thm)],[10937, 10936])).
% 24.61/16.35 tff(10939,plain,
% 24.61/16.35 (v90(constB66, bitIndex0) | v100(constB67) | (~v90(constB67, bitIndex0))),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10938, 934, 10363])).
% 24.61/16.35 tff(10940,plain,
% 24.61/16.35 (v90(constB66, bitIndex0) | (~v90(constB67, bitIndex0))),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10939, 10375])).
% 24.61/16.35 tff(10941,plain,
% 24.61/16.35 (v90(constB66, bitIndex0)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10940, 10932])).
% 24.61/16.35 tff(10942,assumption,(v90(constB68, bitIndex1)), introduced(assumption)).
% 24.61/16.35 tff(10943,assumption,(v123(constB63)), introduced(assumption)).
% 24.61/16.35 tff(10944,plain,
% 24.61/16.35 (v115(constB63)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10064, 1412, 10943])).
% 24.61/16.35 tff(10945,plain,
% 24.61/16.35 (v114(constB63)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10071, 1022, 10944])).
% 24.61/16.35 tff(10946,plain,
% 24.61/16.35 (v113(constB63)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10078, 1036, 10945])).
% 24.61/16.35 tff(10947,plain,
% 24.61/16.35 (v112(constB63)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10087, 10946])).
% 24.61/16.35 tff(10948,plain,
% 24.61/16.35 (v108(constB63)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10094, 1062, 10947])).
% 24.61/16.35 tff(10949,plain,
% 24.61/16.35 (v110(constB64)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10105, 10948])).
% 24.61/16.35 tff(10950,plain,
% 24.61/16.35 (v100(constB64)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10128, 10949])).
% 24.61/16.35 tff(10951,plain,
% 24.61/16.35 (v130(constB63, bitIndex2)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10132, 1483, 10943])).
% 24.61/16.35 tff(10952,plain,
% 24.61/16.35 (v127(constB63, bitIndex2)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10137, 10951])).
% 24.61/16.35 tff(10953,plain,
% 24.61/16.35 (v129(constB64, bitIndex2)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10142, 10952])).
% 24.61/16.35 tff(10954,plain,
% 24.61/16.35 (v90(constB64, bitIndex2) | (~v100(constB64))),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10149, 1204, 10953])).
% 24.61/16.35 tff(10955,plain,
% 24.61/16.35 (v90(constB64, bitIndex2)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10954, 10950])).
% 24.61/16.35 tff(10956,plain,
% 24.61/16.35 (v90(constB65, bitIndex2)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10177, 10955])).
% 24.61/16.35 tff(10957,plain,
% 24.61/16.35 (~v121(constB65)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10181, 1729, 10956])).
% 24.61/16.35 tff(10958,plain,
% 24.61/16.35 (~v122(constB65)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10185, 1740, 10956])).
% 24.61/16.35 tff(10959,plain,
% 24.61/16.35 (v130(constB63, bitIndex1)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10189, 1539, 10943])).
% 24.61/16.35 tff(10960,plain,
% 24.61/16.35 (v127(constB63, bitIndex1)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10194, 10959])).
% 24.61/16.35 tff(10961,plain,
% 24.61/16.35 (v129(constB64, bitIndex1)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10199, 10960])).
% 24.61/16.35 tff(10962,plain,
% 24.61/16.35 (v90(constB64, bitIndex1) | (~v100(constB64))),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10206, 1583, 10961])).
% 24.61/16.35 tff(10963,plain,
% 24.61/16.35 (v90(constB64, bitIndex1)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10962, 10950])).
% 24.61/16.35 tff(10964,plain,
% 24.61/16.35 (v90(constB65, bitIndex1)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10216, 10963])).
% 24.61/16.35 tff(10965,plain,
% 24.61/16.35 (~v119(constB65)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10232, 1751, 10964])).
% 24.61/16.35 tff(10966,plain,
% 24.61/16.35 (~v120(constB65)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10220, 1762, 10964])).
% 24.61/16.35 tff(10967,plain,
% 24.61/16.35 (~v123(constB65)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10224, 1773, 10964])).
% 24.61/16.35 tff(10968,plain,
% 24.61/16.35 (~v124(constB65)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10228, 1784, 10964])).
% 24.61/16.35 tff(10969,plain,
% 24.61/16.35 (~v130(constB65, bitIndex2)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10236, 1798, 10968, 10967, 10966, 10965, 10958, 10957])).
% 24.61/16.35 tff(10970,plain,
% 24.61/16.35 (~v127(constB65, bitIndex2)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10248, 10969])).
% 24.61/16.35 tff(10971,plain,
% 24.61/16.35 (~v129(constB66, bitIndex2)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10256, 10970])).
% 24.61/16.35 tff(10972,plain,
% 24.61/16.35 (~v130(constB63, bitIndex0)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10260, 1617, 10943])).
% 24.61/16.35 tff(10973,plain,
% 24.61/16.35 (~v127(constB63, bitIndex0)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10268, 10972])).
% 24.61/16.35 tff(10974,plain,
% 24.61/16.35 (~v129(constB64, bitIndex0)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10273, 10973])).
% 24.61/16.35 tff(10975,plain,
% 24.61/16.35 ((~v90(constB64, bitIndex0)) | (~v100(constB64))),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10280, 1374, 10974])).
% 24.61/16.35 tff(10976,plain,
% 24.61/16.35 (~v90(constB64, bitIndex0)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10975, 10950])).
% 24.61/16.35 tff(10977,plain,
% 24.61/16.35 (~v90(constB65, bitIndex0)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10290, 10976])).
% 24.61/16.35 tff(10978,plain,
% 24.61/16.35 (v125(constB65)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10294, 1661, 10977, 10964, 10956])).
% 24.61/16.35 tff(10979,plain,
% 24.61/16.35 (v113(constB65)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10298, 1672, 10978])).
% 24.61/16.35 tff(10980,plain,
% 24.61/16.35 (v108(constB65)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10321, 10979])).
% 24.61/16.35 tff(10981,plain,
% 24.61/16.35 (v110(constB66)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10329, 10980])).
% 24.61/16.35 tff(10982,plain,
% 24.61/16.35 (v100(constB66)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10352, 10981])).
% 24.61/16.35 tff(10983,plain,
% 24.61/16.35 (~v90(constB66, bitIndex2)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10356, 1845, 10982, 10971])).
% 24.61/16.35 tff(10984,plain,
% 24.61/16.35 (~v90(constB67, bitIndex2)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10383, 10983])).
% 24.61/16.35 tff(10985,plain,
% 24.61/16.35 (~v130(constB65, bitIndex1)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10387, 1887, 10968, 10967, 10966, 10965, 10958, 10957])).
% 24.61/16.35 tff(10986,plain,
% 24.61/16.35 (~v127(constB65, bitIndex1)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10395, 10985])).
% 24.61/16.35 tff(10987,plain,
% 24.61/16.35 (~v129(constB66, bitIndex1)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10400, 10986])).
% 24.61/16.35 tff(10988,plain,
% 24.61/16.35 (~v90(constB66, bitIndex1)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10407, 1303, 10982, 10987])).
% 24.61/16.35 tff(10989,plain,
% 24.61/16.35 (~v90(constB67, bitIndex1)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10416, 10988])).
% 24.61/16.35 tff(10990,plain,
% 24.61/16.35 (v130(constB65, bitIndex0)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10420, 1931, 10968, 10967, 10966, 10965, 10958, 10957])).
% 24.61/16.35 tff(10991,plain,
% 24.61/16.35 (v127(constB65, bitIndex0)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10425, 10990])).
% 24.61/16.35 tff(10992,plain,
% 24.61/16.35 (v129(constB66, bitIndex0)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10430, 10991])).
% 24.61/16.35 tff(10993,plain,
% 24.61/16.35 (v90(constB66, bitIndex0)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10437, 1975, 10982, 10992])).
% 24.61/16.35 tff(10994,plain,
% 24.61/16.35 (v90(constB67, bitIndex0)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10446, 10993])).
% 24.61/16.35 tff(10995,plain,
% 24.61/16.35 (v120(constB67)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10450, 2012, 10994, 10989, 10984])).
% 24.61/16.35 tff(10996,plain,
% 24.61/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB67, bitIndex1) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB67, bitIndex1) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex1)))),
% 24.61/16.35 inference(rewrite,[status(thm)],[])).
% 24.61/16.35 tff(10997,plain,
% 24.61/16.35 (((~nextState(constB67, constB68)) | v90(constB67, bitIndex1) | v100(constB68) | (~v90(constB68, bitIndex1))) <=> (v90(constB67, bitIndex1) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex1)))),
% 24.61/16.35 inference(rewrite,[status(thm)],[])).
% 24.61/16.35 tff(10998,plain,
% 24.61/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB67, constB68)) | v90(constB67, bitIndex1) | v100(constB68) | (~v90(constB68, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB67, bitIndex1) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex1))))),
% 24.61/16.35 inference(monotonicity,[status(thm)],[10997])).
% 24.61/16.35 tff(10999,plain,
% 24.61/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB67, constB68)) | v90(constB67, bitIndex1) | v100(constB68) | (~v90(constB68, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB67, bitIndex1) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex1)))),
% 24.61/16.35 inference(transitivity,[status(thm)],[10998, 10996])).
% 24.61/16.35 tff(11000,plain,
% 24.61/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB67, constB68)) | v90(constB67, bitIndex1) | v100(constB68) | (~v90(constB68, bitIndex1)))),
% 24.61/16.35 inference(quant_inst,[status(thm)],[])).
% 24.61/16.35 tff(11001,plain,
% 24.61/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB67, bitIndex1) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex1))),
% 24.61/16.35 inference(modus_ponens,[status(thm)],[11000, 10999])).
% 24.61/16.35 tff(11002,plain,
% 24.61/16.35 (v90(constB67, bitIndex1) | v100(constB68) | (~v90(constB68, bitIndex1))),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[11001, 913, 10509])).
% 24.61/16.35 tff(11003,plain,
% 24.61/16.35 (v100(constB68)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[11002, 10989, 10942])).
% 24.61/16.35 tff(11004,plain,
% 24.61/16.35 (v129(constB68, bitIndex0) | (~v100(constB68))),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10646, 1374, 10924])).
% 24.61/16.35 tff(11005,plain,
% 24.61/16.35 (v129(constB68, bitIndex0)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[11004, 11003])).
% 24.61/16.35 tff(11006,plain,
% 24.61/16.35 (v127(constB67, bitIndex0)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10639, 11005])).
% 24.61/16.35 tff(11007,plain,
% 24.61/16.35 (v130(constB67, bitIndex0)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10634, 11006])).
% 24.61/16.35 tff(11008,plain,
% 24.61/16.35 ($false),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10626, 2023, 11007, 10995])).
% 24.61/16.35 tff(11009,plain,((~v123(constB63)) | (~v90(constB68, bitIndex0)) | (~v90(constB68, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 24.61/16.35 tff(11010,plain,
% 24.61/16.35 (~v123(constB63)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[11009, 10924, 10942])).
% 24.61/16.35 tff(11011,plain,
% 24.61/16.35 (v90(constB67, bitIndex1)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[11002, 10914, 10942])).
% 24.61/16.35 tff(11012,plain,
% 24.61/16.35 (v90(constB66, bitIndex1)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10416, 11011])).
% 24.61/16.35 tff(11013,assumption,(v90(constB66, bitIndex0)), introduced(assumption)).
% 24.61/16.35 tff(11014,assumption,(~v100(constB66)), introduced(assumption)).
% 24.61/16.35 tff(11015,plain,
% 24.61/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB65, bitIndex0) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB65, bitIndex0) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex0)))),
% 24.61/16.35 inference(rewrite,[status(thm)],[])).
% 24.61/16.35 tff(11016,plain,
% 24.61/16.35 (((~nextState(constB65, constB66)) | v90(constB65, bitIndex0) | v100(constB66) | (~v90(constB66, bitIndex0))) <=> (v90(constB65, bitIndex0) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex0)))),
% 24.61/16.35 inference(rewrite,[status(thm)],[])).
% 24.61/16.35 tff(11017,plain,
% 24.61/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex0) | v100(constB66) | (~v90(constB66, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB65, bitIndex0) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex0))))),
% 24.61/16.35 inference(monotonicity,[status(thm)],[11016])).
% 24.61/16.35 tff(11018,plain,
% 24.61/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex0) | v100(constB66) | (~v90(constB66, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB65, bitIndex0) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex0)))),
% 24.61/16.35 inference(transitivity,[status(thm)],[11017, 11015])).
% 24.61/16.35 tff(11019,plain,
% 24.61/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex0) | v100(constB66) | (~v90(constB66, bitIndex0)))),
% 24.61/16.35 inference(quant_inst,[status(thm)],[])).
% 24.61/16.35 tff(11020,plain,
% 24.61/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB65, bitIndex0) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex0))),
% 24.61/16.35 inference(modus_ponens,[status(thm)],[11019, 11018])).
% 24.61/16.35 tff(11021,plain,
% 24.61/16.35 (v90(constB65, bitIndex0) | v100(constB66) | (~v90(constB66, bitIndex0))),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[11020, 934, 10252])).
% 24.61/16.35 tff(11022,plain,
% 24.61/16.35 (v90(constB65, bitIndex0)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[11021, 11014, 11013])).
% 24.61/16.35 tff(11023,plain,
% 24.61/16.35 (v90(constB64, bitIndex0)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[10290, 11022])).
% 24.61/16.35 tff(11024,assumption,(v90(constB66, bitIndex1)), introduced(assumption)).
% 24.61/16.35 tff(11025,plain,
% 24.61/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB65, bitIndex1) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB65, bitIndex1) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex1)))),
% 24.61/16.35 inference(rewrite,[status(thm)],[])).
% 24.61/16.35 tff(11026,plain,
% 24.61/16.35 (((~nextState(constB65, constB66)) | v90(constB65, bitIndex1) | v100(constB66) | (~v90(constB66, bitIndex1))) <=> (v90(constB65, bitIndex1) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex1)))),
% 24.61/16.35 inference(rewrite,[status(thm)],[])).
% 24.61/16.35 tff(11027,plain,
% 24.61/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex1) | v100(constB66) | (~v90(constB66, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB65, bitIndex1) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex1))))),
% 24.61/16.35 inference(monotonicity,[status(thm)],[11026])).
% 24.61/16.35 tff(11028,plain,
% 24.61/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex1) | v100(constB66) | (~v90(constB66, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB65, bitIndex1) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex1)))),
% 24.61/16.35 inference(transitivity,[status(thm)],[11027, 11025])).
% 24.61/16.35 tff(11029,plain,
% 24.61/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex1) | v100(constB66) | (~v90(constB66, bitIndex1)))),
% 24.61/16.35 inference(quant_inst,[status(thm)],[])).
% 24.61/16.35 tff(11030,plain,
% 24.61/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB65, bitIndex1) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex1))),
% 24.61/16.35 inference(modus_ponens,[status(thm)],[11029, 11028])).
% 24.61/16.35 tff(11031,plain,
% 24.61/16.35 (v90(constB65, bitIndex1) | v100(constB66) | (~v90(constB66, bitIndex1))),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[11030, 913, 10252])).
% 24.61/16.35 tff(11032,plain,
% 24.61/16.35 (v90(constB65, bitIndex1)),
% 24.61/16.35 inference(unit_resolution,[status(thm)],[11031, 11014, 11024])).
% 24.61/16.35 tff(11033,plain,
% 24.61/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex1)))),
% 24.61/16.35 inference(rewrite,[status(thm)],[])).
% 24.61/16.35 tff(11034,plain,
% 24.61/16.35 (((~nextState(constB64, constB65)) | v90(constB64, bitIndex1) | v100(constB65) | (~v90(constB65, bitIndex1))) <=> (v90(constB64, bitIndex1) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex1)))),
% 24.61/16.35 inference(rewrite,[status(thm)],[])).
% 24.61/16.35 tff(11035,plain,
% 24.61/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex1) | v100(constB65) | (~v90(constB65, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex1))))),
% 24.61/16.36 inference(monotonicity,[status(thm)],[11034])).
% 24.61/16.36 tff(11036,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex1) | v100(constB65) | (~v90(constB65, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex1)))),
% 24.61/16.36 inference(transitivity,[status(thm)],[11035, 11033])).
% 24.61/16.36 tff(11037,plain,
% 24.61/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex1) | v100(constB65) | (~v90(constB65, bitIndex1)))),
% 24.61/16.36 inference(quant_inst,[status(thm)],[])).
% 24.61/16.36 tff(11038,plain,
% 24.61/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex1))),
% 24.61/16.36 inference(modus_ponens,[status(thm)],[11037, 11036])).
% 24.61/16.36 tff(11039,plain,
% 24.61/16.36 (v90(constB64, bitIndex1) | v100(constB65) | (~v90(constB65, bitIndex1))),
% 24.61/16.36 inference(unit_resolution,[status(thm)],[11038, 913, 10157])).
% 24.61/16.36 tff(11040,plain,
% 24.61/16.36 (v90(constB64, bitIndex1) | (~v90(constB65, bitIndex1))),
% 24.61/16.36 inference(unit_resolution,[status(thm)],[11039, 10169])).
% 24.61/16.36 tff(11041,plain,
% 24.61/16.36 (v90(constB64, bitIndex1)),
% 24.61/16.36 inference(unit_resolution,[status(thm)],[11040, 11032])).
% 24.61/16.36 tff(11042,assumption,(v90(constB66, bitIndex2)), introduced(assumption)).
% 24.61/16.36 tff(11043,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB65, bitIndex2) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB65, bitIndex2) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex2)))),
% 24.61/16.36 inference(rewrite,[status(thm)],[])).
% 24.61/16.36 tff(11044,plain,
% 24.61/16.36 (((~nextState(constB65, constB66)) | v90(constB65, bitIndex2) | v100(constB66) | (~v90(constB66, bitIndex2))) <=> (v90(constB65, bitIndex2) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex2)))),
% 24.61/16.36 inference(rewrite,[status(thm)],[])).
% 24.61/16.36 tff(11045,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex2) | v100(constB66) | (~v90(constB66, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB65, bitIndex2) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex2))))),
% 24.61/16.36 inference(monotonicity,[status(thm)],[11044])).
% 24.61/16.36 tff(11046,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex2) | v100(constB66) | (~v90(constB66, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB65, bitIndex2) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex2)))),
% 24.61/16.36 inference(transitivity,[status(thm)],[11045, 11043])).
% 24.61/16.36 tff(11047,plain,
% 24.61/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex2) | v100(constB66) | (~v90(constB66, bitIndex2)))),
% 24.61/16.36 inference(quant_inst,[status(thm)],[])).
% 24.61/16.36 tff(11048,plain,
% 24.61/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB65, bitIndex2) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex2))),
% 24.61/16.36 inference(modus_ponens,[status(thm)],[11047, 11046])).
% 24.61/16.36 tff(11049,plain,
% 24.61/16.36 (v90(constB65, bitIndex2) | v100(constB66) | (~v90(constB66, bitIndex2))),
% 24.61/16.36 inference(unit_resolution,[status(thm)],[11048, 892, 10252])).
% 24.61/16.36 tff(11050,plain,
% 24.61/16.36 (v90(constB65, bitIndex2)),
% 24.61/16.36 inference(unit_resolution,[status(thm)],[11049, 11014, 11042])).
% 24.61/16.36 tff(11051,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 24.61/16.36 inference(rewrite,[status(thm)],[])).
% 24.61/16.36 tff(11052,plain,
% 24.61/16.36 (((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2))) <=> (v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 24.61/16.36 inference(rewrite,[status(thm)],[])).
% 24.61/16.36 tff(11053,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2))))),
% 24.61/16.36 inference(monotonicity,[status(thm)],[11052])).
% 24.61/16.36 tff(11054,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 24.61/16.36 inference(transitivity,[status(thm)],[11053, 11051])).
% 24.61/16.36 tff(11055,plain,
% 24.61/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 24.61/16.36 inference(quant_inst,[status(thm)],[])).
% 24.61/16.36 tff(11056,plain,
% 24.61/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2))),
% 24.61/16.36 inference(modus_ponens,[status(thm)],[11055, 11054])).
% 24.61/16.36 tff(11057,plain,
% 24.61/16.36 (v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2))),
% 24.61/16.36 inference(unit_resolution,[status(thm)],[11056, 892, 10157])).
% 24.61/16.36 tff(11058,plain,
% 24.61/16.36 (v90(constB64, bitIndex2) | (~v90(constB65, bitIndex2))),
% 24.61/16.36 inference(unit_resolution,[status(thm)],[11057, 10169])).
% 24.61/16.36 tff(11059,plain,
% 24.61/16.36 (v90(constB64, bitIndex2)),
% 24.61/16.36 inference(unit_resolution,[status(thm)],[11058, 11050])).
% 24.61/16.36 tff(11060,assumption,(v90(constB64, bitIndex0)), introduced(assumption)).
% 24.61/16.36 tff(11061,assumption,(~v100(constB64)), introduced(assumption)).
% 24.61/16.36 tff(11062,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB63, bitIndex0) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB63, bitIndex0) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex0)))),
% 24.61/16.36 inference(rewrite,[status(thm)],[])).
% 24.61/16.36 tff(11063,plain,
% 24.61/16.36 (((~nextState(constB63, constB64)) | v90(constB63, bitIndex0) | v100(constB64) | (~v90(constB64, bitIndex0))) <=> (v90(constB63, bitIndex0) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex0)))),
% 24.61/16.36 inference(rewrite,[status(thm)],[])).
% 24.61/16.36 tff(11064,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v90(constB63, bitIndex0) | v100(constB64) | (~v90(constB64, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB63, bitIndex0) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex0))))),
% 24.61/16.36 inference(monotonicity,[status(thm)],[11063])).
% 24.61/16.36 tff(11065,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v90(constB63, bitIndex0) | v100(constB64) | (~v90(constB64, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB63, bitIndex0) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex0)))),
% 24.61/16.36 inference(transitivity,[status(thm)],[11064, 11062])).
% 24.61/16.36 tff(11066,plain,
% 24.61/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v90(constB63, bitIndex0) | v100(constB64) | (~v90(constB64, bitIndex0)))),
% 24.61/16.36 inference(quant_inst,[status(thm)],[])).
% 24.61/16.36 tff(11067,plain,
% 24.61/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB63, bitIndex0) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex0))),
% 24.61/16.36 inference(modus_ponens,[status(thm)],[11066, 11065])).
% 24.61/16.36 tff(11068,plain,
% 24.61/16.36 (v90(constB63, bitIndex0) | v100(constB64) | (~v90(constB64, bitIndex0))),
% 24.61/16.36 inference(unit_resolution,[status(thm)],[11067, 934, 10098])).
% 24.61/16.36 tff(11069,plain,
% 24.61/16.36 (v90(constB63, bitIndex0)),
% 24.61/16.36 inference(unit_resolution,[status(thm)],[11068, 11061, 11060])).
% 24.61/16.36 tff(11070,plain,
% 24.61/16.36 (v90(constB62, bitIndex0)),
% 24.61/16.36 inference(unit_resolution,[status(thm)],[10056, 11069])).
% 24.61/16.36 tff(11071,assumption,(v90(constB64, bitIndex1)), introduced(assumption)).
% 24.61/16.36 tff(11072,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB63, bitIndex1) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB63, bitIndex1) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex1)))),
% 24.61/16.36 inference(rewrite,[status(thm)],[])).
% 24.61/16.36 tff(11073,plain,
% 24.61/16.36 (((~nextState(constB63, constB64)) | v90(constB63, bitIndex1) | v100(constB64) | (~v90(constB64, bitIndex1))) <=> (v90(constB63, bitIndex1) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex1)))),
% 24.61/16.36 inference(rewrite,[status(thm)],[])).
% 24.61/16.36 tff(11074,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB63, constB64)) | v90(constB63, bitIndex1) | v100(constB64) | (~v90(constB64, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB63, bitIndex1) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex1))))),
% 24.61/16.36 inference(monotonicity,[status(thm)],[11073])).
% 24.61/16.36 tff(11075,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB63, constB64)) | v90(constB63, bitIndex1) | v100(constB64) | (~v90(constB64, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB63, bitIndex1) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex1)))),
% 24.61/16.36 inference(transitivity,[status(thm)],[11074, 11072])).
% 24.61/16.36 tff(11076,plain,
% 24.61/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB63, constB64)) | v90(constB63, bitIndex1) | v100(constB64) | (~v90(constB64, bitIndex1)))),
% 24.61/16.36 inference(quant_inst,[status(thm)],[])).
% 24.61/16.36 tff(11077,plain,
% 24.61/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB63, bitIndex1) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex1))),
% 24.61/16.36 inference(modus_ponens,[status(thm)],[11076, 11075])).
% 24.61/16.36 tff(11078,plain,
% 24.61/16.36 (v90(constB63, bitIndex1) | v100(constB64) | (~v90(constB64, bitIndex1))),
% 24.61/16.36 inference(unit_resolution,[status(thm)],[11077, 913, 10098])).
% 24.61/16.36 tff(11079,plain,
% 24.61/16.36 (v90(constB63, bitIndex1)),
% 24.61/16.36 inference(unit_resolution,[status(thm)],[11078, 11061, 11071])).
% 24.61/16.36 tff(11080,plain,
% 24.61/16.36 (v90(constB62, bitIndex1)),
% 24.61/16.36 inference(unit_resolution,[status(thm)],[9988, 11079])).
% 24.61/16.36 tff(11081,assumption,(v90(constB64, bitIndex2)), introduced(assumption)).
% 24.61/16.36 tff(11082,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB63, bitIndex2) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB63, bitIndex2) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex2)))),
% 24.61/16.36 inference(rewrite,[status(thm)],[])).
% 24.61/16.36 tff(11083,plain,
% 24.61/16.36 (((~nextState(constB63, constB64)) | v90(constB63, bitIndex2) | v100(constB64) | (~v90(constB64, bitIndex2))) <=> (v90(constB63, bitIndex2) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex2)))),
% 24.61/16.36 inference(rewrite,[status(thm)],[])).
% 24.61/16.36 tff(11084,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v90(constB63, bitIndex2) | v100(constB64) | (~v90(constB64, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB63, bitIndex2) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex2))))),
% 24.61/16.36 inference(monotonicity,[status(thm)],[11083])).
% 24.61/16.36 tff(11085,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v90(constB63, bitIndex2) | v100(constB64) | (~v90(constB64, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB63, bitIndex2) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex2)))),
% 24.61/16.36 inference(transitivity,[status(thm)],[11084, 11082])).
% 24.61/16.36 tff(11086,plain,
% 24.61/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v90(constB63, bitIndex2) | v100(constB64) | (~v90(constB64, bitIndex2)))),
% 24.61/16.36 inference(quant_inst,[status(thm)],[])).
% 24.61/16.36 tff(11087,plain,
% 24.61/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB63, bitIndex2) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex2))),
% 24.61/16.36 inference(modus_ponens,[status(thm)],[11086, 11085])).
% 24.61/16.36 tff(11088,plain,
% 24.61/16.36 (v90(constB63, bitIndex2) | v100(constB64) | (~v90(constB64, bitIndex2))),
% 24.61/16.36 inference(unit_resolution,[status(thm)],[11087, 892, 10098])).
% 24.61/16.36 tff(11089,plain,
% 24.61/16.36 (v90(constB63, bitIndex2)),
% 24.61/16.36 inference(unit_resolution,[status(thm)],[11088, 11061, 11081])).
% 24.61/16.36 tff(11090,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 24.61/16.36 inference(rewrite,[status(thm)],[])).
% 24.61/16.36 tff(11091,plain,
% 24.61/16.36 (((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2))) <=> (v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 24.61/16.36 inference(rewrite,[status(thm)],[])).
% 24.61/16.36 tff(11092,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2))))),
% 24.61/16.36 inference(monotonicity,[status(thm)],[11091])).
% 24.61/16.36 tff(11093,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 24.61/16.36 inference(transitivity,[status(thm)],[11092, 11090])).
% 24.61/16.36 tff(11094,plain,
% 24.61/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 24.61/16.36 inference(quant_inst,[status(thm)],[])).
% 24.61/16.36 tff(11095,plain,
% 24.61/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2))),
% 24.61/16.36 inference(modus_ponens,[status(thm)],[11094, 11093])).
% 24.61/16.36 tff(11096,plain,
% 24.61/16.36 (v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2))),
% 24.61/16.36 inference(unit_resolution,[status(thm)],[11095, 892, 9926])).
% 24.61/16.36 tff(11097,plain,
% 24.61/16.36 (v90(constB62, bitIndex2) | (~v90(constB63, bitIndex2))),
% 24.61/16.36 inference(unit_resolution,[status(thm)],[11096, 9938])).
% 24.61/16.36 tff(11098,plain,
% 24.61/16.36 (v90(constB62, bitIndex2)),
% 24.61/16.36 inference(unit_resolution,[status(thm)],[11097, 11089])).
% 24.61/16.36 tff(11099,assumption,(~v100(constB62)), introduced(assumption)).
% 24.61/16.36 tff(11100,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB61, bitIndex0) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB61, bitIndex0) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex0)))),
% 24.61/16.36 inference(rewrite,[status(thm)],[])).
% 24.61/16.36 tff(11101,plain,
% 24.61/16.36 (((~nextState(constB61, constB62)) | v90(constB61, bitIndex0) | v100(constB62) | (~v90(constB62, bitIndex0))) <=> (v90(constB61, bitIndex0) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex0)))),
% 24.61/16.36 inference(rewrite,[status(thm)],[])).
% 24.61/16.36 tff(11102,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB61, constB62)) | v90(constB61, bitIndex0) | v100(constB62) | (~v90(constB62, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB61, bitIndex0) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex0))))),
% 24.61/16.36 inference(monotonicity,[status(thm)],[11101])).
% 24.61/16.36 tff(11103,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB61, constB62)) | v90(constB61, bitIndex0) | v100(constB62) | (~v90(constB62, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB61, bitIndex0) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex0)))),
% 24.61/16.36 inference(transitivity,[status(thm)],[11102, 11100])).
% 24.61/16.36 tff(11104,plain,
% 24.61/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB61, constB62)) | v90(constB61, bitIndex0) | v100(constB62) | (~v90(constB62, bitIndex0)))),
% 24.61/16.36 inference(quant_inst,[status(thm)],[])).
% 24.61/16.36 tff(11105,plain,
% 24.61/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB61, bitIndex0) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex0))),
% 24.61/16.36 inference(modus_ponens,[status(thm)],[11104, 11103])).
% 24.61/16.36 tff(11106,plain,
% 24.61/16.36 (v90(constB61, bitIndex0) | v100(constB62) | (~v90(constB62, bitIndex0))),
% 24.61/16.36 inference(unit_resolution,[status(thm)],[11105, 934, 9862])).
% 24.61/16.36 tff(11107,plain,
% 24.61/16.36 (v90(constB61, bitIndex0)),
% 24.61/16.36 inference(unit_resolution,[status(thm)],[11106, 11099, 10021])).
% 24.61/16.36 tff(11108,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 24.61/16.36 inference(rewrite,[status(thm)],[])).
% 24.61/16.36 tff(11109,plain,
% 24.61/16.36 (((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0))) <=> (v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 24.61/16.36 inference(rewrite,[status(thm)],[])).
% 24.61/16.36 tff(11110,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0))))),
% 24.61/16.36 inference(monotonicity,[status(thm)],[11109])).
% 24.61/16.36 tff(11111,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 24.61/16.36 inference(transitivity,[status(thm)],[11110, 11108])).
% 24.61/16.36 tff(11112,plain,
% 24.61/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 24.61/16.36 inference(quant_inst,[status(thm)],[])).
% 24.61/16.36 tff(11113,plain,
% 24.61/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0))),
% 24.61/16.36 inference(modus_ponens,[status(thm)],[11112, 11111])).
% 24.61/16.36 tff(11114,plain,
% 24.61/16.36 (v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0))),
% 24.61/16.36 inference(unit_resolution,[status(thm)],[11113, 934, 9726])).
% 24.61/16.36 tff(11115,plain,
% 24.61/16.36 (v90(constB60, bitIndex0) | (~v90(constB61, bitIndex0))),
% 24.61/16.36 inference(unit_resolution,[status(thm)],[11114, 9738])).
% 24.61/16.36 tff(11116,plain,
% 24.61/16.36 (v90(constB60, bitIndex0)),
% 24.61/16.36 inference(unit_resolution,[status(thm)],[11115, 11107])).
% 24.61/16.36 tff(11117,assumption,(v90(constB62, bitIndex1)), introduced(assumption)).
% 24.61/16.36 tff(11118,plain,
% 24.61/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB61, bitIndex1) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB61, bitIndex1) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex1)))),
% 24.61/16.36 inference(rewrite,[status(thm)],[])).
% 24.61/16.36 tff(11119,plain,
% 24.61/16.36 (((~nextState(constB61, constB62)) | v90(constB61, bitIndex1) | v100(constB62) | (~v90(constB62, bitIndex1))) <=> (v90(constB61, bitIndex1) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex1)))),
% 24.61/16.36 inference(rewrite,[status(thm)],[])).
% 24.61/16.36 tff(11120,plain,
% 24.61/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v90(constB61, bitIndex1) | v100(constB62) | (~v90(constB62, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB61, bitIndex1) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex1))))),
% 24.61/16.37 inference(monotonicity,[status(thm)],[11119])).
% 24.61/16.37 tff(11121,plain,
% 24.61/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v90(constB61, bitIndex1) | v100(constB62) | (~v90(constB62, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB61, bitIndex1) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex1)))),
% 24.61/16.37 inference(transitivity,[status(thm)],[11120, 11118])).
% 24.61/16.37 tff(11122,plain,
% 24.61/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v90(constB61, bitIndex1) | v100(constB62) | (~v90(constB62, bitIndex1)))),
% 24.61/16.37 inference(quant_inst,[status(thm)],[])).
% 24.61/16.37 tff(11123,plain,
% 24.61/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB61, bitIndex1) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex1))),
% 24.61/16.37 inference(modus_ponens,[status(thm)],[11122, 11121])).
% 24.61/16.37 tff(11124,plain,
% 24.61/16.37 (v90(constB61, bitIndex1) | v100(constB62) | (~v90(constB62, bitIndex1))),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11123, 913, 9862])).
% 24.61/16.37 tff(11125,plain,
% 24.61/16.37 (v90(constB61, bitIndex1)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11124, 11099, 11117])).
% 24.61/16.37 tff(11126,plain,
% 24.61/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex1)))),
% 24.61/16.37 inference(rewrite,[status(thm)],[])).
% 24.61/16.37 tff(11127,plain,
% 24.61/16.37 (((~nextState(constB60, constB61)) | v90(constB60, bitIndex1) | v100(constB61) | (~v90(constB61, bitIndex1))) <=> (v90(constB60, bitIndex1) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex1)))),
% 24.61/16.37 inference(rewrite,[status(thm)],[])).
% 24.61/16.37 tff(11128,plain,
% 24.61/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex1) | v100(constB61) | (~v90(constB61, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex1))))),
% 24.61/16.37 inference(monotonicity,[status(thm)],[11127])).
% 24.61/16.37 tff(11129,plain,
% 24.61/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex1) | v100(constB61) | (~v90(constB61, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex1)))),
% 24.61/16.37 inference(transitivity,[status(thm)],[11128, 11126])).
% 24.61/16.37 tff(11130,plain,
% 24.61/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex1) | v100(constB61) | (~v90(constB61, bitIndex1)))),
% 24.61/16.37 inference(quant_inst,[status(thm)],[])).
% 24.61/16.37 tff(11131,plain,
% 24.61/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex1))),
% 24.61/16.37 inference(modus_ponens,[status(thm)],[11130, 11129])).
% 24.61/16.37 tff(11132,plain,
% 24.61/16.37 (v90(constB60, bitIndex1) | v100(constB61) | (~v90(constB61, bitIndex1))),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11131, 913, 9726])).
% 24.61/16.37 tff(11133,plain,
% 24.61/16.37 (v90(constB60, bitIndex1) | (~v90(constB61, bitIndex1))),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11132, 9738])).
% 24.61/16.37 tff(11134,plain,
% 24.61/16.37 (v90(constB60, bitIndex1)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11133, 11125])).
% 24.61/16.37 tff(11135,plain,
% 24.61/16.37 (v90(constB61, bitIndex2)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[9954, 11099, 10019])).
% 24.61/16.37 tff(11136,plain,
% 24.61/16.37 (v90(constB60, bitIndex2)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[9746, 11135])).
% 24.61/16.37 tff(11137,assumption,(v90(constB60, bitIndex2)), introduced(assumption)).
% 24.61/16.37 tff(11138,assumption,(~v100(constB60)), introduced(assumption)).
% 24.61/16.37 tff(11139,plain,
% 24.61/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB59, bitIndex2) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB59, bitIndex2) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex2)))),
% 24.61/16.37 inference(rewrite,[status(thm)],[])).
% 24.61/16.37 tff(11140,plain,
% 24.61/16.37 (((~nextState(constB59, constB60)) | v90(constB59, bitIndex2) | v100(constB60) | (~v90(constB60, bitIndex2))) <=> (v90(constB59, bitIndex2) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex2)))),
% 24.61/16.37 inference(rewrite,[status(thm)],[])).
% 24.61/16.37 tff(11141,plain,
% 24.61/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex2) | v100(constB60) | (~v90(constB60, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB59, bitIndex2) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex2))))),
% 24.61/16.37 inference(monotonicity,[status(thm)],[11140])).
% 24.61/16.37 tff(11142,plain,
% 24.61/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex2) | v100(constB60) | (~v90(constB60, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB59, bitIndex2) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex2)))),
% 24.61/16.37 inference(transitivity,[status(thm)],[11141, 11139])).
% 24.61/16.37 tff(11143,plain,
% 24.61/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex2) | v100(constB60) | (~v90(constB60, bitIndex2)))),
% 24.61/16.37 inference(quant_inst,[status(thm)],[])).
% 24.61/16.37 tff(11144,plain,
% 24.61/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB59, bitIndex2) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex2))),
% 24.61/16.37 inference(modus_ponens,[status(thm)],[11143, 11142])).
% 24.61/16.37 tff(11145,plain,
% 24.61/16.37 (v90(constB59, bitIndex2) | v100(constB60) | (~v90(constB60, bitIndex2))),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11144, 892, 9667])).
% 24.61/16.37 tff(11146,plain,
% 24.61/16.37 (v90(constB59, bitIndex2)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11145, 11138, 11137])).
% 24.61/16.37 tff(11147,plain,
% 24.61/16.37 (v90(constB58, bitIndex2)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[9543, 11146])).
% 24.61/16.37 tff(11148,assumption,(v90(constB60, bitIndex0)), introduced(assumption)).
% 24.61/16.37 tff(11149,plain,
% 24.61/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB59, bitIndex0) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB59, bitIndex0) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex0)))),
% 24.61/16.37 inference(rewrite,[status(thm)],[])).
% 24.61/16.37 tff(11150,plain,
% 24.61/16.37 (((~nextState(constB59, constB60)) | v90(constB59, bitIndex0) | v100(constB60) | (~v90(constB60, bitIndex0))) <=> (v90(constB59, bitIndex0) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex0)))),
% 24.61/16.37 inference(rewrite,[status(thm)],[])).
% 24.61/16.37 tff(11151,plain,
% 24.61/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex0) | v100(constB60) | (~v90(constB60, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB59, bitIndex0) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex0))))),
% 24.61/16.37 inference(monotonicity,[status(thm)],[11150])).
% 24.61/16.37 tff(11152,plain,
% 24.61/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex0) | v100(constB60) | (~v90(constB60, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB59, bitIndex0) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex0)))),
% 24.61/16.37 inference(transitivity,[status(thm)],[11151, 11149])).
% 24.61/16.37 tff(11153,plain,
% 24.61/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex0) | v100(constB60) | (~v90(constB60, bitIndex0)))),
% 24.61/16.37 inference(quant_inst,[status(thm)],[])).
% 24.61/16.37 tff(11154,plain,
% 24.61/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB59, bitIndex0) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex0))),
% 24.61/16.37 inference(modus_ponens,[status(thm)],[11153, 11152])).
% 24.61/16.37 tff(11155,plain,
% 24.61/16.37 (v90(constB59, bitIndex0) | v100(constB60) | (~v90(constB60, bitIndex0))),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11154, 934, 9667])).
% 24.61/16.37 tff(11156,plain,
% 24.61/16.37 (v90(constB59, bitIndex0)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11155, 11138, 11148])).
% 24.61/16.37 tff(11157,plain,
% 24.61/16.37 (v90(constB58, bitIndex0)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[9608, 11156])).
% 24.61/16.37 tff(11158,assumption,(v90(constB60, bitIndex1)), introduced(assumption)).
% 24.61/16.37 tff(11159,plain,
% 24.61/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB59, bitIndex1) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB59, bitIndex1) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex1)))),
% 24.61/16.37 inference(rewrite,[status(thm)],[])).
% 24.61/16.37 tff(11160,plain,
% 24.61/16.37 (((~nextState(constB59, constB60)) | v90(constB59, bitIndex1) | v100(constB60) | (~v90(constB60, bitIndex1))) <=> (v90(constB59, bitIndex1) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex1)))),
% 24.61/16.37 inference(rewrite,[status(thm)],[])).
% 24.61/16.37 tff(11161,plain,
% 24.61/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex1) | v100(constB60) | (~v90(constB60, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB59, bitIndex1) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex1))))),
% 24.61/16.37 inference(monotonicity,[status(thm)],[11160])).
% 24.61/16.37 tff(11162,plain,
% 24.61/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex1) | v100(constB60) | (~v90(constB60, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB59, bitIndex1) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex1)))),
% 24.61/16.37 inference(transitivity,[status(thm)],[11161, 11159])).
% 24.61/16.37 tff(11163,plain,
% 24.61/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex1) | v100(constB60) | (~v90(constB60, bitIndex1)))),
% 24.61/16.37 inference(quant_inst,[status(thm)],[])).
% 24.61/16.37 tff(11164,plain,
% 24.61/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB59, bitIndex1) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex1))),
% 24.61/16.37 inference(modus_ponens,[status(thm)],[11163, 11162])).
% 24.61/16.37 tff(11165,plain,
% 24.61/16.37 (v90(constB59, bitIndex1) | v100(constB60) | (~v90(constB60, bitIndex1))),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11164, 913, 9667])).
% 24.61/16.37 tff(11166,plain,
% 24.61/16.37 (v90(constB59, bitIndex1)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11165, 11138, 11158])).
% 24.61/16.37 tff(11167,plain,
% 24.61/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1)))),
% 24.61/16.37 inference(rewrite,[status(thm)],[])).
% 24.61/16.37 tff(11168,plain,
% 24.61/16.37 (((~nextState(constB58, constB59)) | v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1))) <=> (v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1)))),
% 24.61/16.37 inference(rewrite,[status(thm)],[])).
% 24.61/16.37 tff(11169,plain,
% 24.61/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1))))),
% 24.61/16.37 inference(monotonicity,[status(thm)],[11168])).
% 24.61/16.37 tff(11170,plain,
% 24.61/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1)))),
% 24.61/16.37 inference(transitivity,[status(thm)],[11169, 11167])).
% 24.61/16.37 tff(11171,plain,
% 24.61/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1)))),
% 24.61/16.37 inference(quant_inst,[status(thm)],[])).
% 24.61/16.37 tff(11172,plain,
% 24.61/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1))),
% 24.61/16.37 inference(modus_ponens,[status(thm)],[11171, 11170])).
% 24.61/16.37 tff(11173,plain,
% 24.61/16.37 (v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1))),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11172, 913, 9523])).
% 24.61/16.37 tff(11174,plain,
% 24.61/16.37 (v90(constB58, bitIndex1) | (~v90(constB59, bitIndex1))),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11173, 9535])).
% 24.61/16.37 tff(11175,plain,
% 24.61/16.37 (v90(constB58, bitIndex1)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11174, 11166])).
% 24.61/16.37 tff(11176,assumption,(v100(constB58)), introduced(assumption)).
% 24.61/16.37 tff(11177,assumption,(v90(constB58, bitIndex2)), introduced(assumption)).
% 24.61/16.37 tff(11178,plain,
% 24.61/16.37 (v129(constB58, bitIndex2) | (~v100(constB58))),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[9515, 1845, 11177])).
% 24.61/16.37 tff(11179,plain,
% 24.61/16.37 (v129(constB58, bitIndex2)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11178, 11176])).
% 24.61/16.37 tff(11180,plain,
% 24.61/16.37 (v127(constB57, bitIndex2)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[9511, 11179])).
% 24.61/16.37 tff(11181,plain,
% 24.61/16.37 (v130(constB57, bitIndex2)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[9506, 11180])).
% 24.61/16.37 tff(11182,plain,
% 24.61/16.37 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB57)) | (~v130(constB57, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB57)) | (~v130(constB57, bitIndex2)))),
% 24.61/16.37 inference(rewrite,[status(thm)],[])).
% 24.61/16.37 tff(11183,plain,
% 24.61/16.37 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB57)) | (~v130(constB57, bitIndex2)))),
% 24.61/16.37 inference(quant_inst,[status(thm)],[])).
% 24.61/16.37 tff(11184,plain,
% 24.61/16.37 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB57)) | (~v130(constB57, bitIndex2))),
% 24.61/16.37 inference(modus_ponens,[status(thm)],[11183, 11182])).
% 24.61/16.37 tff(11185,plain,
% 24.61/16.37 (~v124(constB57)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11184, 4807, 11181])).
% 24.61/16.37 tff(11186,plain,
% 24.61/16.37 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB57)) | (~v130(constB57, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB57)) | (~v130(constB57, bitIndex2)))),
% 24.61/16.37 inference(rewrite,[status(thm)],[])).
% 24.61/16.37 tff(11187,plain,
% 24.61/16.37 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB57)) | (~v130(constB57, bitIndex2)))),
% 24.61/16.37 inference(quant_inst,[status(thm)],[])).
% 24.61/16.37 tff(11188,plain,
% 24.61/16.37 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB57)) | (~v130(constB57, bitIndex2))),
% 24.61/16.37 inference(modus_ponens,[status(thm)],[11187, 11186])).
% 24.61/16.37 tff(11189,plain,
% 24.61/16.37 (~v121(constB57)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11188, 2406, 11181])).
% 24.61/16.37 tff(11190,assumption,(v90(constB58, bitIndex0)), introduced(assumption)).
% 24.61/16.37 tff(11191,plain,
% 24.61/16.37 (v129(constB58, bitIndex0) | (~v100(constB58))),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[9598, 1374, 11190])).
% 24.61/16.37 tff(11192,plain,
% 24.61/16.37 (v129(constB58, bitIndex0)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11191, 11176])).
% 24.61/16.37 tff(11193,plain,
% 24.61/16.37 (v127(constB57, bitIndex0)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[9591, 11192])).
% 24.61/16.37 tff(11194,plain,
% 24.61/16.37 (v130(constB57, bitIndex0)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[9586, 11193])).
% 24.61/16.37 tff(11195,plain,
% 24.61/16.37 (~v120(constB57)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[9578, 2023, 11194])).
% 24.61/16.37 tff(11196,plain,
% 24.61/16.37 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB57)) | (~v130(constB57, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB57)) | (~v130(constB57, bitIndex0)))),
% 24.61/16.37 inference(rewrite,[status(thm)],[])).
% 24.61/16.37 tff(11197,plain,
% 24.61/16.37 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB57)) | (~v130(constB57, bitIndex0)))),
% 24.61/16.37 inference(quant_inst,[status(thm)],[])).
% 24.61/16.37 tff(11198,plain,
% 24.61/16.37 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB57)) | (~v130(constB57, bitIndex0))),
% 24.61/16.37 inference(modus_ponens,[status(thm)],[11197, 11196])).
% 24.61/16.37 tff(11199,plain,
% 24.61/16.37 (~v119(constB57)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11198, 1327, 11194])).
% 24.61/16.37 tff(11200,plain,
% 24.61/16.37 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB57)) | (~v130(constB57, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB57)) | (~v130(constB57, bitIndex0)))),
% 24.61/16.37 inference(rewrite,[status(thm)],[])).
% 24.61/16.37 tff(11201,plain,
% 24.61/16.37 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB57)) | (~v130(constB57, bitIndex0)))),
% 24.61/16.37 inference(quant_inst,[status(thm)],[])).
% 24.61/16.37 tff(11202,plain,
% 24.61/16.37 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB57)) | (~v130(constB57, bitIndex0))),
% 24.61/16.37 inference(modus_ponens,[status(thm)],[11201, 11200])).
% 24.61/16.37 tff(11203,plain,
% 24.61/16.37 (~v122(constB57)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11202, 2833, 11194])).
% 24.61/16.37 tff(11204,plain,
% 24.61/16.37 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB57)) | (~v130(constB57, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB57)) | (~v130(constB57, bitIndex0)))),
% 24.61/16.37 inference(rewrite,[status(thm)],[])).
% 24.61/16.37 tff(11205,plain,
% 24.61/16.37 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB57)) | (~v130(constB57, bitIndex0)))),
% 24.61/16.37 inference(quant_inst,[status(thm)],[])).
% 24.61/16.37 tff(11206,plain,
% 24.61/16.37 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB57)) | (~v130(constB57, bitIndex0))),
% 24.61/16.37 inference(modus_ponens,[status(thm)],[11205, 11204])).
% 24.61/16.37 tff(11207,plain,
% 24.61/16.37 (~v123(constB57)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11206, 1617, 11194])).
% 24.61/16.37 tff(11208,assumption,(v90(constB58, bitIndex1)), introduced(assumption)).
% 24.61/16.37 tff(11209,plain,
% 24.61/16.37 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58)))),
% 24.61/16.37 inference(rewrite,[status(thm)],[])).
% 24.61/16.37 tff(11210,plain,
% 24.61/16.37 (((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1)) <=> ((~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58)))),
% 24.61/16.37 inference(rewrite,[status(thm)],[])).
% 24.61/16.37 tff(11211,plain,
% 24.61/16.37 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58))))),
% 24.61/16.37 inference(monotonicity,[status(thm)],[11210])).
% 24.61/16.37 tff(11212,plain,
% 24.61/16.37 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58)))),
% 24.61/16.37 inference(transitivity,[status(thm)],[11211, 11209])).
% 24.61/16.37 tff(11213,plain,
% 24.61/16.37 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1))),
% 24.61/16.37 inference(quant_inst,[status(thm)],[])).
% 24.61/16.37 tff(11214,plain,
% 24.61/16.37 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58))),
% 24.61/16.37 inference(modus_ponens,[status(thm)],[11213, 11212])).
% 24.61/16.37 tff(11215,plain,
% 24.61/16.37 (v129(constB58, bitIndex1) | (~v100(constB58))),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11214, 1303, 11208])).
% 24.61/16.37 tff(11216,plain,
% 24.61/16.37 (v129(constB58, bitIndex1)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11215, 11176])).
% 24.61/16.37 tff(11217,plain,
% 24.61/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1)))),
% 24.61/16.37 inference(rewrite,[status(thm)],[])).
% 24.61/16.37 tff(11218,plain,
% 24.61/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1)))),
% 24.61/16.37 inference(quant_inst,[status(thm)],[])).
% 24.61/16.37 tff(11219,plain,
% 24.61/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1))),
% 24.61/16.37 inference(modus_ponens,[status(thm)],[11218, 11217])).
% 24.61/16.37 tff(11220,plain,
% 24.61/16.37 (v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1))),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11219, 1288, 9461])).
% 24.61/16.37 tff(11221,plain,
% 24.61/16.37 (v127(constB57, bitIndex1)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11220, 11216])).
% 24.61/16.37 tff(11222,plain,
% 24.61/16.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))),
% 24.61/16.37 inference(rewrite,[status(thm)],[])).
% 24.61/16.37 tff(11223,plain,
% 24.61/16.37 ((v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1))) <=> ((~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))),
% 24.61/16.37 inference(rewrite,[status(thm)],[])).
% 24.61/16.37 tff(11224,plain,
% 24.61/16.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1)))),
% 24.61/16.37 inference(monotonicity,[status(thm)],[11223])).
% 24.61/16.37 tff(11225,plain,
% 24.61/16.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))),
% 24.61/16.37 inference(transitivity,[status(thm)],[11224, 11222])).
% 24.61/16.37 tff(11226,plain,
% 24.61/16.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1)))),
% 24.61/16.37 inference(quant_inst,[status(thm)],[])).
% 24.61/16.37 tff(11227,plain,
% 24.61/16.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1)),
% 24.61/16.37 inference(modus_ponens,[status(thm)],[11226, 11225])).
% 24.61/16.37 tff(11228,plain,
% 24.61/16.37 ((~v127(constB57, bitIndex1)) | v130(constB57, bitIndex1)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11227, 1270, 9446])).
% 24.61/16.37 tff(11229,plain,
% 24.61/16.37 (v130(constB57, bitIndex1)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11228, 11221])).
% 24.61/16.37 tff(11230,plain,
% 24.61/16.37 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB57) | v120(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | (~v130(constB57, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB57) | v120(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | (~v130(constB57, bitIndex1)))),
% 24.61/16.37 inference(rewrite,[status(thm)],[])).
% 24.61/16.37 tff(11231,plain,
% 24.61/16.37 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB57) | v120(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | (~v130(constB57, bitIndex1)))),
% 24.61/16.37 inference(quant_inst,[status(thm)],[])).
% 24.61/16.37 tff(11232,plain,
% 24.61/16.37 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB57) | v120(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | (~v130(constB57, bitIndex1))),
% 24.61/16.37 inference(modus_ponens,[status(thm)],[11231, 11230])).
% 24.61/16.37 tff(11233,plain,
% 24.61/16.37 (v121(constB57) | v124(constB57)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11232, 1887, 11229, 11207, 11203, 11199, 11195])).
% 24.61/16.37 tff(11234,plain,
% 24.61/16.37 ($false),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11233, 11189, 11185])).
% 24.61/16.37 tff(11235,plain,((~v100(constB58)) | (~v90(constB58, bitIndex2)) | (~v90(constB58, bitIndex1)) | (~v90(constB58, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 24.61/16.37 tff(11236,plain,
% 24.61/16.37 (~v100(constB58)),
% 24.61/16.37 inference(unit_resolution,[status(thm)],[11235, 11147, 11175, 11157])).
% 24.61/16.37 tff(11237,plain,
% 24.61/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2)))),
% 24.61/16.37 inference(rewrite,[status(thm)],[])).
% 24.61/16.37 tff(11238,plain,
% 24.61/16.37 (((~nextState(constB57, constB58)) | v90(constB57, bitIndex2) | v100(constB58) | (~v90(constB58, bitIndex2))) <=> (v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2)))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11239,plain,
% 24.66/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex2) | v100(constB58) | (~v90(constB58, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2))))),
% 24.66/16.38 inference(monotonicity,[status(thm)],[11238])).
% 24.66/16.38 tff(11240,plain,
% 24.66/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex2) | v100(constB58) | (~v90(constB58, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2)))),
% 24.66/16.38 inference(transitivity,[status(thm)],[11239, 11237])).
% 24.66/16.38 tff(11241,plain,
% 24.66/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex2) | v100(constB58) | (~v90(constB58, bitIndex2)))),
% 24.66/16.38 inference(quant_inst,[status(thm)],[])).
% 24.66/16.38 tff(11242,plain,
% 24.66/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2))),
% 24.66/16.38 inference(modus_ponens,[status(thm)],[11241, 11240])).
% 24.66/16.38 tff(11243,plain,
% 24.66/16.38 (v90(constB57, bitIndex2) | v100(constB58) | (~v90(constB58, bitIndex2))),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11242, 892, 9461])).
% 24.66/16.38 tff(11244,plain,
% 24.66/16.38 (v90(constB57, bitIndex2)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11243, 11236, 11147])).
% 24.66/16.38 tff(11245,plain,
% 24.66/16.38 (v90(constB56, bitIndex2)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[9339, 11244])).
% 24.66/16.38 tff(11246,assumption,(v119(constB55)), introduced(assumption)).
% 24.66/16.38 tff(11247,plain,
% 24.66/16.38 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB55) | (~v119(constB55)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB55) | (~v119(constB55)))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11248,plain,
% 24.66/16.38 (((~v119(constB55)) | v118(constB55)) <=> (v118(constB55) | (~v119(constB55)))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11249,plain,
% 24.66/16.38 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB55)) | v118(constB55))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB55) | (~v119(constB55))))),
% 24.66/16.38 inference(monotonicity,[status(thm)],[11248])).
% 24.66/16.38 tff(11250,plain,
% 24.66/16.38 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB55)) | v118(constB55))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB55) | (~v119(constB55)))),
% 24.66/16.38 inference(transitivity,[status(thm)],[11249, 11247])).
% 24.66/16.38 tff(11251,plain,
% 24.66/16.38 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB55)) | v118(constB55))),
% 24.66/16.38 inference(quant_inst,[status(thm)],[])).
% 24.66/16.38 tff(11252,plain,
% 24.66/16.38 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB55) | (~v119(constB55))),
% 24.66/16.38 inference(modus_ponens,[status(thm)],[11251, 11250])).
% 24.66/16.38 tff(11253,plain,
% 24.66/16.38 (v118(constB55)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11252, 969, 11246])).
% 24.66/16.38 tff(11254,plain,
% 24.66/16.38 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB55) | (~v118(constB55)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB55) | (~v118(constB55)))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11255,plain,
% 24.66/16.38 (((~v118(constB55)) | v117(constB55)) <=> (v117(constB55) | (~v118(constB55)))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11256,plain,
% 24.66/16.38 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB55)) | v117(constB55))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB55) | (~v118(constB55))))),
% 24.66/16.38 inference(monotonicity,[status(thm)],[11255])).
% 24.66/16.38 tff(11257,plain,
% 24.66/16.38 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB55)) | v117(constB55))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB55) | (~v118(constB55)))),
% 24.66/16.38 inference(transitivity,[status(thm)],[11256, 11254])).
% 24.66/16.38 tff(11258,plain,
% 24.66/16.38 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB55)) | v117(constB55))),
% 24.66/16.38 inference(quant_inst,[status(thm)],[])).
% 24.66/16.38 tff(11259,plain,
% 24.66/16.38 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB55) | (~v118(constB55))),
% 24.66/16.38 inference(modus_ponens,[status(thm)],[11258, 11257])).
% 24.66/16.38 tff(11260,plain,
% 24.66/16.38 (v117(constB55)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11259, 980, 11253])).
% 24.66/16.38 tff(11261,plain,
% 24.66/16.38 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB55) | (~v117(constB55)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB55) | (~v117(constB55)))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11262,plain,
% 24.66/16.38 (((~v117(constB55)) | v116(constB55)) <=> (v116(constB55) | (~v117(constB55)))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11263,plain,
% 24.66/16.38 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB55)) | v116(constB55))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB55) | (~v117(constB55))))),
% 24.66/16.38 inference(monotonicity,[status(thm)],[11262])).
% 24.66/16.38 tff(11264,plain,
% 24.66/16.38 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB55)) | v116(constB55))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB55) | (~v117(constB55)))),
% 24.66/16.38 inference(transitivity,[status(thm)],[11263, 11261])).
% 24.66/16.38 tff(11265,plain,
% 24.66/16.38 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB55)) | v116(constB55))),
% 24.66/16.38 inference(quant_inst,[status(thm)],[])).
% 24.66/16.38 tff(11266,plain,
% 24.66/16.38 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB55) | (~v117(constB55))),
% 24.66/16.38 inference(modus_ponens,[status(thm)],[11265, 11264])).
% 24.66/16.38 tff(11267,plain,
% 24.66/16.38 (v116(constB55)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11266, 994, 11260])).
% 24.66/16.38 tff(11268,plain,
% 24.66/16.38 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB55)) | v115(constB55))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB55)) | v115(constB55))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11269,plain,
% 24.66/16.38 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB55)) | v115(constB55))),
% 24.66/16.38 inference(quant_inst,[status(thm)],[])).
% 24.66/16.38 tff(11270,plain,
% 24.66/16.38 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB55)) | v115(constB55)),
% 24.66/16.38 inference(modus_ponens,[status(thm)],[11269, 11268])).
% 24.66/16.38 tff(11271,plain,
% 24.66/16.38 (v115(constB55)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11270, 1008, 11267])).
% 24.66/16.38 tff(11272,plain,
% 24.66/16.38 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB55) | (~v115(constB55)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB55) | (~v115(constB55)))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11273,plain,
% 24.66/16.38 (((~v115(constB55)) | v114(constB55)) <=> (v114(constB55) | (~v115(constB55)))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11274,plain,
% 24.66/16.38 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB55)) | v114(constB55))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB55) | (~v115(constB55))))),
% 24.66/16.38 inference(monotonicity,[status(thm)],[11273])).
% 24.66/16.38 tff(11275,plain,
% 24.66/16.38 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB55)) | v114(constB55))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB55) | (~v115(constB55)))),
% 24.66/16.38 inference(transitivity,[status(thm)],[11274, 11272])).
% 24.66/16.38 tff(11276,plain,
% 24.66/16.38 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB55)) | v114(constB55))),
% 24.66/16.38 inference(quant_inst,[status(thm)],[])).
% 24.66/16.38 tff(11277,plain,
% 24.66/16.38 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB55) | (~v115(constB55))),
% 24.66/16.38 inference(modus_ponens,[status(thm)],[11276, 11275])).
% 24.66/16.38 tff(11278,plain,
% 24.66/16.38 (v114(constB55)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11277, 1022, 11271])).
% 24.66/16.38 tff(11279,plain,
% 24.66/16.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB55) | (~v114(constB55)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB55) | (~v114(constB55)))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11280,plain,
% 24.66/16.38 (((~v114(constB55)) | v113(constB55)) <=> (v113(constB55) | (~v114(constB55)))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11281,plain,
% 24.66/16.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB55)) | v113(constB55))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB55) | (~v114(constB55))))),
% 24.66/16.38 inference(monotonicity,[status(thm)],[11280])).
% 24.66/16.38 tff(11282,plain,
% 24.66/16.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB55)) | v113(constB55))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB55) | (~v114(constB55)))),
% 24.66/16.38 inference(transitivity,[status(thm)],[11281, 11279])).
% 24.66/16.38 tff(11283,plain,
% 24.66/16.38 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB55)) | v113(constB55))),
% 24.66/16.38 inference(quant_inst,[status(thm)],[])).
% 24.66/16.38 tff(11284,plain,
% 24.66/16.38 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB55) | (~v114(constB55))),
% 24.66/16.38 inference(modus_ponens,[status(thm)],[11283, 11282])).
% 24.66/16.38 tff(11285,plain,
% 24.66/16.38 (v113(constB55)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11284, 1036, 11278])).
% 24.66/16.38 tff(11286,plain,
% 24.66/16.38 (v112(constB55)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[9225, 11285])).
% 24.66/16.38 tff(11287,plain,
% 24.66/16.38 (v108(constB55)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[9232, 1062, 11286])).
% 24.66/16.38 tff(11288,plain,
% 24.66/16.38 (v110(constB56)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[9243, 11287])).
% 24.66/16.38 tff(11289,plain,
% 24.66/16.38 (v100(constB56)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[9266, 11288])).
% 24.66/16.38 tff(11290,plain,
% 24.66/16.38 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB55)) | v130(constB55, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB55)) | v130(constB55, bitIndex2))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11291,plain,
% 24.66/16.38 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB55)) | v130(constB55, bitIndex2))),
% 24.66/16.38 inference(quant_inst,[status(thm)],[])).
% 24.66/16.38 tff(11292,plain,
% 24.66/16.38 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB55)) | v130(constB55, bitIndex2)),
% 24.66/16.38 inference(modus_ponens,[status(thm)],[11291, 11290])).
% 24.66/16.38 tff(11293,plain,
% 24.66/16.38 (v130(constB55, bitIndex2)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11292, 1160, 11246])).
% 24.66/16.38 tff(11294,plain,
% 24.66/16.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11295,plain,
% 24.66/16.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2))),
% 24.66/16.38 inference(quant_inst,[status(thm)],[])).
% 24.66/16.38 tff(11296,plain,
% 24.66/16.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2)),
% 24.66/16.38 inference(modus_ponens,[status(thm)],[11295, 11294])).
% 24.66/16.38 tff(11297,plain,
% 24.66/16.38 ((~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11296, 1174, 9221])).
% 24.66/16.38 tff(11298,plain,
% 24.66/16.38 (v127(constB55, bitIndex2)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11297, 11293])).
% 24.66/16.38 tff(11299,plain,
% 24.66/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB55, constB56)) | (~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB55, constB56)) | (~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11300,plain,
% 24.66/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB55, constB56)) | (~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2))),
% 24.66/16.38 inference(quant_inst,[status(thm)],[])).
% 24.66/16.38 tff(11301,plain,
% 24.66/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB55, constB56)) | (~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2)),
% 24.66/16.38 inference(modus_ponens,[status(thm)],[11300, 11299])).
% 24.66/16.38 tff(11302,plain,
% 24.66/16.38 ((~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11301, 1189, 9236])).
% 24.66/16.38 tff(11303,plain,
% 24.66/16.38 (v129(constB56, bitIndex2)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11302, 11298])).
% 24.66/16.38 tff(11304,plain,
% 24.66/16.38 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56)))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11305,plain,
% 24.66/16.38 ((v90(constB56, bitIndex2) | (~v100(constB56)) | (~v129(constB56, bitIndex2))) <=> (v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56)))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11306,plain,
% 24.66/16.38 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v100(constB56)) | (~v129(constB56, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56))))),
% 24.66/16.38 inference(monotonicity,[status(thm)],[11305])).
% 24.66/16.38 tff(11307,plain,
% 24.66/16.38 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v100(constB56)) | (~v129(constB56, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56)))),
% 24.66/16.38 inference(transitivity,[status(thm)],[11306, 11304])).
% 24.66/16.38 tff(11308,plain,
% 24.66/16.38 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v100(constB56)) | (~v129(constB56, bitIndex2)))),
% 24.66/16.38 inference(quant_inst,[status(thm)],[])).
% 24.66/16.38 tff(11309,plain,
% 24.66/16.38 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56))),
% 24.66/16.38 inference(modus_ponens,[status(thm)],[11308, 11307])).
% 24.66/16.38 tff(11310,plain,
% 24.66/16.38 (v90(constB56, bitIndex2) | (~v100(constB56))),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11309, 1204, 11303])).
% 24.66/16.38 tff(11311,plain,
% 24.66/16.38 (v90(constB56, bitIndex2)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11310, 11289])).
% 24.66/16.38 tff(11312,plain,
% 24.66/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11313,plain,
% 24.66/16.38 (((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2)) <=> ((~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11314,plain,
% 24.66/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2)))),
% 24.66/16.38 inference(monotonicity,[status(thm)],[11313])).
% 24.66/16.38 tff(11315,plain,
% 24.66/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2))),
% 24.66/16.38 inference(transitivity,[status(thm)],[11314, 11312])).
% 24.66/16.38 tff(11316,plain,
% 24.66/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2))),
% 24.66/16.38 inference(quant_inst,[status(thm)],[])).
% 24.66/16.38 tff(11317,plain,
% 24.66/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2)),
% 24.66/16.38 inference(modus_ponens,[status(thm)],[11316, 11315])).
% 24.66/16.38 tff(11318,plain,
% 24.66/16.38 ((~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11317, 1240, 9319])).
% 24.66/16.38 tff(11319,plain,
% 24.66/16.38 ((~v90(constB56, bitIndex2)) | v90(constB57, bitIndex2)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11318, 9331])).
% 24.66/16.38 tff(11320,plain,
% 24.66/16.38 (v90(constB57, bitIndex2)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11319, 11311])).
% 24.66/16.38 tff(11321,plain,
% 24.66/16.38 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB55)) | (~v130(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB55)) | (~v130(constB55, bitIndex1)))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11322,plain,
% 24.66/16.38 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB55)) | (~v130(constB55, bitIndex1)))),
% 24.66/16.38 inference(quant_inst,[status(thm)],[])).
% 24.66/16.38 tff(11323,plain,
% 24.66/16.38 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB55)) | (~v130(constB55, bitIndex1))),
% 24.66/16.38 inference(modus_ponens,[status(thm)],[11322, 11321])).
% 24.66/16.38 tff(11324,plain,
% 24.66/16.38 (~v130(constB55, bitIndex1)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11323, 1256, 11246])).
% 24.66/16.38 tff(11325,plain,
% 24.66/16.38 (~v127(constB55, bitIndex1)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[9351, 11324])).
% 24.66/16.38 tff(11326,plain,
% 24.66/16.38 (~v129(constB56, bitIndex1)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[9356, 11325])).
% 24.66/16.38 tff(11327,plain,
% 24.66/16.38 ((~v90(constB56, bitIndex1)) | (~v100(constB56))),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[9363, 1303, 11326])).
% 24.66/16.38 tff(11328,plain,
% 24.66/16.38 (~v90(constB56, bitIndex1)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11327, 11289])).
% 24.66/16.38 tff(11329,plain,
% 24.66/16.38 (~v90(constB57, bitIndex1)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[9373, 11328])).
% 24.66/16.38 tff(11330,plain,
% 24.66/16.38 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB55)) | (~v130(constB55, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB55)) | (~v130(constB55, bitIndex0)))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11331,plain,
% 24.66/16.38 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB55)) | (~v130(constB55, bitIndex0)))),
% 24.66/16.38 inference(quant_inst,[status(thm)],[])).
% 24.66/16.38 tff(11332,plain,
% 24.66/16.38 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB55)) | (~v130(constB55, bitIndex0))),
% 24.66/16.38 inference(modus_ponens,[status(thm)],[11331, 11330])).
% 24.66/16.38 tff(11333,plain,
% 24.66/16.38 (~v130(constB55, bitIndex0)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11332, 1327, 11246])).
% 24.66/16.38 tff(11334,plain,
% 24.66/16.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11335,plain,
% 24.66/16.38 ((v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0))) <=> ((~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11336,plain,
% 24.66/16.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0)))),
% 24.66/16.38 inference(monotonicity,[status(thm)],[11335])).
% 24.66/16.38 tff(11337,plain,
% 24.66/16.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))),
% 24.66/16.38 inference(transitivity,[status(thm)],[11336, 11334])).
% 24.66/16.38 tff(11338,plain,
% 24.66/16.38 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0)))),
% 24.66/16.38 inference(quant_inst,[status(thm)],[])).
% 24.66/16.38 tff(11339,plain,
% 24.66/16.38 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0)),
% 24.66/16.38 inference(modus_ponens,[status(thm)],[11338, 11337])).
% 24.66/16.38 tff(11340,plain,
% 24.66/16.38 ((~v127(constB55, bitIndex0)) | v130(constB55, bitIndex0)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11339, 1341, 9221])).
% 24.66/16.38 tff(11341,plain,
% 24.66/16.38 (~v127(constB55, bitIndex0)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11340, 11333])).
% 24.66/16.38 tff(11342,plain,
% 24.66/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0)))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11343,plain,
% 24.66/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0)))),
% 24.66/16.38 inference(quant_inst,[status(thm)],[])).
% 24.66/16.38 tff(11344,plain,
% 24.66/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0))),
% 24.66/16.38 inference(modus_ponens,[status(thm)],[11343, 11342])).
% 24.66/16.38 tff(11345,plain,
% 24.66/16.38 (v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0))),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11344, 1359, 9236])).
% 24.66/16.38 tff(11346,plain,
% 24.66/16.38 (~v129(constB56, bitIndex0)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11345, 11341])).
% 24.66/16.38 tff(11347,plain,
% 24.66/16.38 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56)))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11348,plain,
% 24.66/16.38 (((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0)) <=> ((~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56)))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11349,plain,
% 24.66/16.38 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56))))),
% 24.66/16.38 inference(monotonicity,[status(thm)],[11348])).
% 24.66/16.38 tff(11350,plain,
% 24.66/16.38 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56)))),
% 24.66/16.38 inference(transitivity,[status(thm)],[11349, 11347])).
% 24.66/16.38 tff(11351,plain,
% 24.66/16.38 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0))),
% 24.66/16.38 inference(quant_inst,[status(thm)],[])).
% 24.66/16.38 tff(11352,plain,
% 24.66/16.38 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56))),
% 24.66/16.38 inference(modus_ponens,[status(thm)],[11351, 11350])).
% 24.66/16.38 tff(11353,plain,
% 24.66/16.38 ((~v90(constB56, bitIndex0)) | (~v100(constB56))),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11352, 1374, 11346])).
% 24.66/16.38 tff(11354,plain,
% 24.66/16.38 (~v90(constB56, bitIndex0)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11353, 11289])).
% 24.66/16.38 tff(11355,plain,
% 24.66/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0)))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11356,plain,
% 24.66/16.38 (((~nextState(constB56, constB57)) | v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0))) <=> (v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0)))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11357,plain,
% 24.66/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0))))),
% 24.66/16.38 inference(monotonicity,[status(thm)],[11356])).
% 24.66/16.38 tff(11358,plain,
% 24.66/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0)))),
% 24.66/16.38 inference(transitivity,[status(thm)],[11357, 11355])).
% 24.66/16.38 tff(11359,plain,
% 24.66/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0)))),
% 24.66/16.38 inference(quant_inst,[status(thm)],[])).
% 24.66/16.38 tff(11360,plain,
% 24.66/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0))),
% 24.66/16.38 inference(modus_ponens,[status(thm)],[11359, 11358])).
% 24.66/16.38 tff(11361,plain,
% 24.66/16.38 (v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0))),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11360, 934, 9319])).
% 24.66/16.38 tff(11362,plain,
% 24.66/16.38 (v90(constB56, bitIndex0) | (~v90(constB57, bitIndex0))),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11361, 9331])).
% 24.66/16.38 tff(11363,plain,
% 24.66/16.38 (~v90(constB57, bitIndex0)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11362, 11354])).
% 24.66/16.38 tff(11364,plain,
% 24.66/16.38 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57))),
% 24.66/16.38 inference(rewrite,[status(thm)],[])).
% 24.66/16.38 tff(11365,plain,
% 24.66/16.38 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57))),
% 24.66/16.38 inference(quant_inst,[status(thm)],[])).
% 24.66/16.38 tff(11366,plain,
% 24.66/16.38 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57)),
% 24.66/16.38 inference(modus_ponens,[status(thm)],[11365, 11364])).
% 24.66/16.38 tff(11367,plain,
% 24.66/16.38 (v123(constB57)),
% 24.66/16.38 inference(unit_resolution,[status(thm)],[11366, 1401, 11363, 11329, 11320])).
% 24.66/16.39 tff(11368,plain,
% 24.66/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB57, bitIndex0) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB57, bitIndex0) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex0)))),
% 24.66/16.39 inference(rewrite,[status(thm)],[])).
% 24.66/16.39 tff(11369,plain,
% 24.66/16.39 (((~nextState(constB57, constB58)) | v90(constB57, bitIndex0) | v100(constB58) | (~v90(constB58, bitIndex0))) <=> (v90(constB57, bitIndex0) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex0)))),
% 24.66/16.39 inference(rewrite,[status(thm)],[])).
% 24.66/16.39 tff(11370,plain,
% 24.66/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex0) | v100(constB58) | (~v90(constB58, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB57, bitIndex0) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex0))))),
% 24.66/16.39 inference(monotonicity,[status(thm)],[11369])).
% 24.66/16.39 tff(11371,plain,
% 24.66/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex0) | v100(constB58) | (~v90(constB58, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB57, bitIndex0) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex0)))),
% 24.66/16.39 inference(transitivity,[status(thm)],[11370, 11368])).
% 24.66/16.39 tff(11372,plain,
% 24.66/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex0) | v100(constB58) | (~v90(constB58, bitIndex0)))),
% 24.66/16.39 inference(quant_inst,[status(thm)],[])).
% 24.66/16.39 tff(11373,plain,
% 24.66/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB57, bitIndex0) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex0))),
% 24.66/16.39 inference(modus_ponens,[status(thm)],[11372, 11371])).
% 24.66/16.39 tff(11374,plain,
% 24.66/16.39 (v90(constB57, bitIndex0) | v100(constB58) | (~v90(constB58, bitIndex0))),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11373, 934, 9461])).
% 24.66/16.39 tff(11375,plain,
% 24.66/16.39 (v100(constB58)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11374, 11363, 11190])).
% 24.66/16.39 tff(11376,plain,
% 24.66/16.39 (v129(constB58, bitIndex0)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11191, 11375])).
% 24.66/16.39 tff(11377,plain,
% 24.66/16.39 (v127(constB57, bitIndex0)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9591, 11376])).
% 24.66/16.39 tff(11378,plain,
% 24.66/16.39 (v130(constB57, bitIndex0)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9586, 11377])).
% 24.66/16.39 tff(11379,plain,
% 24.66/16.39 ($false),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11206, 1617, 11378, 11367])).
% 24.66/16.39 tff(11380,plain,((~v119(constB55)) | (~v90(constB58, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 24.66/16.39 tff(11381,plain,
% 24.66/16.39 (~v119(constB55)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11380, 11157])).
% 24.66/16.39 tff(11382,assumption,(v123(constB53)), introduced(assumption)).
% 24.66/16.39 tff(11383,plain,
% 24.66/16.39 (v115(constB53)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9027, 1412, 11382])).
% 24.66/16.39 tff(11384,plain,
% 24.66/16.39 (v114(constB53)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9034, 1022, 11383])).
% 24.66/16.39 tff(11385,plain,
% 24.66/16.39 (v113(constB53)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9041, 1036, 11384])).
% 24.66/16.39 tff(11386,plain,
% 24.66/16.39 (v112(constB53)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9053, 11385])).
% 24.66/16.39 tff(11387,plain,
% 24.66/16.39 (v108(constB53)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9060, 1062, 11386])).
% 24.66/16.39 tff(11388,plain,
% 24.66/16.39 (v110(constB54)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9071, 11387])).
% 24.66/16.39 tff(11389,plain,
% 24.66/16.39 (v100(constB54)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9094, 11388])).
% 24.66/16.39 tff(11390,plain,
% 24.66/16.39 (v130(constB53, bitIndex2)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9098, 1483, 11382])).
% 24.66/16.39 tff(11391,plain,
% 24.66/16.39 (v127(constB53, bitIndex2)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9103, 11390])).
% 24.66/16.39 tff(11392,plain,
% 24.66/16.39 (v129(constB54, bitIndex2)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9108, 11391])).
% 24.66/16.39 tff(11393,plain,
% 24.66/16.39 (v90(constB54, bitIndex2) | (~v100(constB54))),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9115, 1204, 11392])).
% 24.66/16.39 tff(11394,plain,
% 24.66/16.39 (v90(constB54, bitIndex2)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11393, 11389])).
% 24.66/16.39 tff(11395,plain,
% 24.66/16.39 (v90(constB55, bitIndex2)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9143, 11394])).
% 24.66/16.39 tff(11396,plain,
% 24.66/16.39 (v130(constB53, bitIndex1)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9147, 1539, 11382])).
% 24.66/16.39 tff(11397,plain,
% 24.66/16.39 (v127(constB53, bitIndex1)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9152, 11396])).
% 24.66/16.39 tff(11398,plain,
% 24.66/16.39 (v129(constB54, bitIndex1)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9157, 11397])).
% 24.66/16.39 tff(11399,plain,
% 24.66/16.39 (v90(constB54, bitIndex1) | (~v100(constB54))),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9164, 1583, 11398])).
% 24.66/16.39 tff(11400,plain,
% 24.66/16.39 (v90(constB54, bitIndex1)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11399, 11389])).
% 24.66/16.39 tff(11401,plain,
% 24.66/16.39 (v90(constB55, bitIndex1)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9174, 11400])).
% 24.66/16.39 tff(11402,plain,
% 24.66/16.39 (~v130(constB53, bitIndex0)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9178, 1617, 11382])).
% 24.66/16.39 tff(11403,plain,
% 24.66/16.39 (~v127(constB53, bitIndex0)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9186, 11402])).
% 24.66/16.39 tff(11404,plain,
% 24.66/16.39 (~v129(constB54, bitIndex0)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9191, 11403])).
% 24.66/16.39 tff(11405,plain,
% 24.66/16.39 ((~v90(constB54, bitIndex0)) | (~v100(constB54))),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9198, 1374, 11404])).
% 24.66/16.39 tff(11406,plain,
% 24.66/16.39 (~v90(constB54, bitIndex0)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11405, 11389])).
% 24.66/16.39 tff(11407,plain,
% 24.66/16.39 (~v90(constB55, bitIndex0)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9208, 11406])).
% 24.66/16.39 tff(11408,plain,
% 24.66/16.39 (v125(constB55)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9212, 1661, 11407, 11401, 11395])).
% 24.66/16.39 tff(11409,plain,
% 24.66/16.39 (v113(constB55)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9216, 1672, 11408])).
% 24.66/16.39 tff(11410,plain,
% 24.66/16.39 (v112(constB55)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9225, 11409])).
% 24.66/16.39 tff(11411,plain,
% 24.66/16.39 (v108(constB55)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9232, 1062, 11410])).
% 24.66/16.39 tff(11412,plain,
% 24.66/16.39 (v110(constB56)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9243, 11411])).
% 24.66/16.39 tff(11413,plain,
% 24.66/16.39 (v100(constB56)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9266, 11412])).
% 24.66/16.39 tff(11414,plain,
% 24.66/16.39 (~v122(constB55)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9270, 1740, 11395])).
% 24.66/16.39 tff(11415,plain,
% 24.66/16.39 (~v121(constB55)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9274, 1729, 11395])).
% 24.66/16.39 tff(11416,plain,
% 24.66/16.39 (~v124(constB55)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9278, 1784, 11401])).
% 24.66/16.39 tff(11417,plain,
% 24.66/16.39 (~v120(constB55)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9282, 1762, 11401])).
% 24.66/16.39 tff(11418,plain,
% 24.66/16.39 (~v123(constB55)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9286, 1773, 11401])).
% 24.66/16.39 tff(11419,plain,
% 24.66/16.39 (~v119(constB55)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9290, 1751, 11401])).
% 24.66/16.39 tff(11420,plain,
% 24.66/16.39 (~v130(constB55, bitIndex2)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9294, 1798, 11419, 11418, 11417, 11416, 11415, 11414])).
% 24.66/16.39 tff(11421,plain,
% 24.66/16.39 (~v127(constB55, bitIndex2)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9302, 11420])).
% 24.66/16.39 tff(11422,plain,
% 24.66/16.39 (~v129(constB56, bitIndex2)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9307, 11421])).
% 24.66/16.39 tff(11423,plain,
% 24.66/16.39 ((~v90(constB56, bitIndex2)) | (~v100(constB56))),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9311, 1845, 11422])).
% 24.66/16.39 tff(11424,plain,
% 24.66/16.39 (~v90(constB56, bitIndex2)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11423, 11413])).
% 24.66/16.39 tff(11425,plain,
% 24.66/16.39 (~v90(constB57, bitIndex2)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9339, 11424])).
% 24.66/16.39 tff(11426,plain,
% 24.66/16.39 (~v130(constB55, bitIndex1)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9343, 1887, 11419, 11418, 11417, 11416, 11415, 11414])).
% 24.66/16.39 tff(11427,plain,
% 24.66/16.39 (~v127(constB55, bitIndex1)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9351, 11426])).
% 24.66/16.39 tff(11428,plain,
% 24.66/16.39 (~v129(constB56, bitIndex1)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9356, 11427])).
% 24.66/16.39 tff(11429,plain,
% 24.66/16.39 ((~v90(constB56, bitIndex1)) | (~v100(constB56))),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9363, 1303, 11428])).
% 24.66/16.39 tff(11430,plain,
% 24.66/16.39 (~v90(constB56, bitIndex1)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11429, 11413])).
% 24.66/16.39 tff(11431,plain,
% 24.66/16.39 (~v90(constB57, bitIndex1)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9373, 11430])).
% 24.66/16.39 tff(11432,plain,
% 24.66/16.39 (v130(constB55, bitIndex0)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9377, 1931, 11419, 11418, 11417, 11416, 11415, 11414])).
% 24.66/16.39 tff(11433,plain,
% 24.66/16.39 (v127(constB55, bitIndex0)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9382, 11432])).
% 24.66/16.39 tff(11434,plain,
% 24.66/16.39 (v129(constB56, bitIndex0)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9387, 11433])).
% 24.66/16.39 tff(11435,plain,
% 24.66/16.39 (v90(constB56, bitIndex0) | (~v100(constB56))),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9394, 1975, 11434])).
% 24.66/16.39 tff(11436,plain,
% 24.66/16.39 (v90(constB56, bitIndex0)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11435, 11413])).
% 24.66/16.39 tff(11437,plain,
% 24.66/16.39 (v90(constB57, bitIndex0)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9404, 11436])).
% 24.66/16.39 tff(11438,plain,
% 24.66/16.39 (v120(constB57)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9408, 2012, 11437, 11431, 11425])).
% 24.66/16.39 tff(11439,plain,
% 24.66/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB57, bitIndex1) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB57, bitIndex1) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex1)))),
% 24.66/16.39 inference(rewrite,[status(thm)],[])).
% 24.66/16.39 tff(11440,plain,
% 24.66/16.39 (((~nextState(constB57, constB58)) | v90(constB57, bitIndex1) | v100(constB58) | (~v90(constB58, bitIndex1))) <=> (v90(constB57, bitIndex1) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex1)))),
% 24.66/16.39 inference(rewrite,[status(thm)],[])).
% 24.66/16.39 tff(11441,plain,
% 24.66/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex1) | v100(constB58) | (~v90(constB58, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB57, bitIndex1) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex1))))),
% 24.66/16.39 inference(monotonicity,[status(thm)],[11440])).
% 24.66/16.39 tff(11442,plain,
% 24.66/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex1) | v100(constB58) | (~v90(constB58, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB57, bitIndex1) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex1)))),
% 24.66/16.39 inference(transitivity,[status(thm)],[11441, 11439])).
% 24.66/16.39 tff(11443,plain,
% 24.66/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex1) | v100(constB58) | (~v90(constB58, bitIndex1)))),
% 24.66/16.39 inference(quant_inst,[status(thm)],[])).
% 24.66/16.39 tff(11444,plain,
% 24.66/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB57, bitIndex1) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex1))),
% 24.66/16.39 inference(modus_ponens,[status(thm)],[11443, 11442])).
% 24.66/16.39 tff(11445,plain,
% 24.66/16.39 (v90(constB57, bitIndex1) | v100(constB58) | (~v90(constB58, bitIndex1))),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11444, 913, 9461])).
% 24.66/16.39 tff(11446,plain,
% 24.66/16.39 (v100(constB58)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11445, 11431, 11208])).
% 24.66/16.39 tff(11447,plain,
% 24.66/16.39 (v129(constB58, bitIndex0)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11191, 11446])).
% 24.66/16.39 tff(11448,plain,
% 24.66/16.39 (v127(constB57, bitIndex0)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9591, 11447])).
% 24.66/16.39 tff(11449,plain,
% 24.66/16.39 (v130(constB57, bitIndex0)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9586, 11448])).
% 24.66/16.39 tff(11450,plain,
% 24.66/16.39 ($false),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[9578, 2023, 11449, 11438])).
% 24.66/16.39 tff(11451,plain,((~v123(constB53)) | (~v90(constB58, bitIndex0)) | (~v90(constB58, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 24.66/16.39 tff(11452,plain,
% 24.66/16.39 (~v123(constB53)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11451, 11157, 11175])).
% 24.66/16.39 tff(11453,assumption,(~v113(constB55)), introduced(assumption)).
% 24.66/16.39 tff(11454,plain,
% 24.66/16.39 (~v114(constB55)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11284, 1036, 11453])).
% 24.66/16.39 tff(11455,plain,
% 24.66/16.39 (~v115(constB55)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11277, 1022, 11454])).
% 24.66/16.39 tff(11456,plain,
% 24.66/16.39 (~v116(constB55)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11270, 1008, 11455])).
% 24.66/16.39 tff(11457,plain,
% 24.66/16.39 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB55)) | v116(constB55))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB55)) | v116(constB55))),
% 24.66/16.39 inference(rewrite,[status(thm)],[])).
% 24.66/16.39 tff(11458,plain,
% 24.66/16.39 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB55)) | v116(constB55))),
% 24.66/16.39 inference(quant_inst,[status(thm)],[])).
% 24.66/16.39 tff(11459,plain,
% 24.66/16.39 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB55)) | v116(constB55)),
% 24.66/16.39 inference(modus_ponens,[status(thm)],[11458, 11457])).
% 24.66/16.39 tff(11460,plain,
% 24.66/16.39 (~v122(constB55)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11459, 2652, 11456])).
% 24.66/16.39 tff(11461,plain,
% 24.66/16.39 (~v117(constB55)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11266, 994, 11456])).
% 24.66/16.39 tff(11462,plain,
% 24.66/16.39 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB55)) | v117(constB55))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB55)) | v117(constB55))),
% 24.66/16.39 inference(rewrite,[status(thm)],[])).
% 24.66/16.39 tff(11463,plain,
% 24.66/16.39 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB55)) | v117(constB55))),
% 24.66/16.39 inference(quant_inst,[status(thm)],[])).
% 24.66/16.39 tff(11464,plain,
% 24.66/16.39 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB55)) | v117(constB55)),
% 24.66/16.39 inference(modus_ponens,[status(thm)],[11463, 11462])).
% 24.66/16.39 tff(11465,plain,
% 24.66/16.39 (~v121(constB55)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11464, 2102, 11461])).
% 24.66/16.39 tff(11466,plain,
% 24.66/16.39 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB55)) | v115(constB55))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB55)) | v115(constB55))),
% 24.66/16.39 inference(rewrite,[status(thm)],[])).
% 24.66/16.39 tff(11467,plain,
% 24.66/16.39 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB55)) | v115(constB55))),
% 24.66/16.39 inference(quant_inst,[status(thm)],[])).
% 24.66/16.39 tff(11468,plain,
% 24.66/16.39 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB55)) | v115(constB55)),
% 24.66/16.39 inference(modus_ponens,[status(thm)],[11467, 11466])).
% 24.66/16.39 tff(11469,plain,
% 24.66/16.39 (~v123(constB55)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11468, 1412, 11455])).
% 24.66/16.39 tff(11470,plain,
% 24.66/16.39 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB55) | (~v124(constB55)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB55) | (~v124(constB55)))),
% 24.66/16.39 inference(rewrite,[status(thm)],[])).
% 24.66/16.39 tff(11471,plain,
% 24.66/16.39 (((~v124(constB55)) | v114(constB55)) <=> (v114(constB55) | (~v124(constB55)))),
% 24.66/16.39 inference(rewrite,[status(thm)],[])).
% 24.66/16.39 tff(11472,plain,
% 24.66/16.39 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB55)) | v114(constB55))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB55) | (~v124(constB55))))),
% 24.66/16.39 inference(monotonicity,[status(thm)],[11471])).
% 24.66/16.39 tff(11473,plain,
% 24.66/16.39 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB55)) | v114(constB55))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB55) | (~v124(constB55)))),
% 24.66/16.39 inference(transitivity,[status(thm)],[11472, 11470])).
% 24.66/16.39 tff(11474,plain,
% 24.66/16.39 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB55)) | v114(constB55))),
% 24.66/16.39 inference(quant_inst,[status(thm)],[])).
% 24.66/16.39 tff(11475,plain,
% 24.66/16.39 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB55) | (~v124(constB55))),
% 24.66/16.39 inference(modus_ponens,[status(thm)],[11474, 11473])).
% 24.66/16.39 tff(11476,plain,
% 24.66/16.39 (~v124(constB55)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11475, 4721, 11454])).
% 24.66/16.39 tff(11477,assumption,(~v119(constB55)), introduced(assumption)).
% 24.66/16.39 tff(11478,plain,
% 24.66/16.39 (~v118(constB55)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11259, 980, 11461])).
% 24.66/16.39 tff(11479,plain,
% 24.66/16.39 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB55) | (~v120(constB55)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB55) | (~v120(constB55)))),
% 24.66/16.39 inference(rewrite,[status(thm)],[])).
% 24.66/16.39 tff(11480,plain,
% 24.66/16.39 (((~v120(constB55)) | v118(constB55)) <=> (v118(constB55) | (~v120(constB55)))),
% 24.66/16.39 inference(rewrite,[status(thm)],[])).
% 24.66/16.39 tff(11481,plain,
% 24.66/16.39 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB55)) | v118(constB55))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB55) | (~v120(constB55))))),
% 24.66/16.39 inference(monotonicity,[status(thm)],[11480])).
% 24.66/16.39 tff(11482,plain,
% 24.66/16.39 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB55)) | v118(constB55))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB55) | (~v120(constB55)))),
% 24.66/16.39 inference(transitivity,[status(thm)],[11481, 11479])).
% 24.66/16.39 tff(11483,plain,
% 24.66/16.39 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB55)) | v118(constB55))),
% 24.66/16.39 inference(quant_inst,[status(thm)],[])).
% 24.66/16.39 tff(11484,plain,
% 24.66/16.39 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB55) | (~v120(constB55))),
% 24.66/16.39 inference(modus_ponens,[status(thm)],[11483, 11482])).
% 24.66/16.39 tff(11485,plain,
% 24.66/16.39 (~v120(constB55)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11484, 2210, 11478])).
% 24.66/16.39 tff(11486,assumption,(~v90(constB55, bitIndex1)), introduced(assumption)).
% 24.66/16.39 tff(11487,assumption,(~v123(constB55)), introduced(assumption)).
% 24.66/16.39 tff(11488,assumption,(~v90(constB55, bitIndex0)), introduced(assumption)).
% 24.66/16.39 tff(11489,plain,
% 24.66/16.39 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | v123(constB55))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | v123(constB55))),
% 24.66/16.39 inference(rewrite,[status(thm)],[])).
% 24.66/16.39 tff(11490,plain,
% 24.66/16.39 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | v123(constB55))),
% 24.66/16.39 inference(quant_inst,[status(thm)],[])).
% 24.66/16.39 tff(11491,plain,
% 24.66/16.39 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | v123(constB55)),
% 24.66/16.39 inference(modus_ponens,[status(thm)],[11490, 11489])).
% 24.66/16.39 tff(11492,plain,
% 24.66/16.39 (v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2))),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11491, 1401, 11487])).
% 24.66/16.39 tff(11493,plain,
% 24.66/16.39 (~v90(constB55, bitIndex2)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11492, 11488, 11486])).
% 24.66/16.39 tff(11494,plain,
% 24.66/16.39 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | v119(constB55))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | v119(constB55))),
% 24.66/16.39 inference(rewrite,[status(thm)],[])).
% 24.66/16.39 tff(11495,plain,
% 24.66/16.39 ((v90(constB55, bitIndex0) | v119(constB55) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2)) <=> (v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | v119(constB55))),
% 24.66/16.39 inference(rewrite,[status(thm)],[])).
% 24.66/16.39 tff(11496,plain,
% 24.66/16.39 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB55, bitIndex0) | v119(constB55) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | v119(constB55)))),
% 24.66/16.39 inference(monotonicity,[status(thm)],[11495])).
% 24.66/16.39 tff(11497,plain,
% 24.66/16.39 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB55, bitIndex0) | v119(constB55) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | v119(constB55))),
% 24.66/16.39 inference(transitivity,[status(thm)],[11496, 11494])).
% 24.66/16.39 tff(11498,plain,
% 24.66/16.39 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB55, bitIndex0) | v119(constB55) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2))),
% 24.66/16.39 inference(quant_inst,[status(thm)],[])).
% 24.66/16.39 tff(11499,plain,
% 24.66/16.39 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | v119(constB55)),
% 24.66/16.39 inference(modus_ponens,[status(thm)],[11498, 11497])).
% 24.66/16.39 tff(11500,plain,
% 24.66/16.39 (v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11499, 955, 11477])).
% 24.66/16.39 tff(11501,plain,
% 24.66/16.39 ($false),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11500, 11493, 11488, 11486])).
% 24.66/16.39 tff(11502,plain,(v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v119(constB55) | v123(constB55)), inference(lemma,lemma(discharge,[]))).
% 24.66/16.39 tff(11503,plain,
% 24.66/16.39 (v90(constB55, bitIndex0)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11502, 11486, 11477, 11487])).
% 24.66/16.39 tff(11504,assumption,(~v124(constB55)), introduced(assumption)).
% 24.66/16.39 tff(11505,plain,
% 24.66/16.39 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | v124(constB55))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | v124(constB55))),
% 24.66/16.39 inference(rewrite,[status(thm)],[])).
% 24.66/16.39 tff(11506,plain,
% 24.66/16.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | v124(constB55))),
% 24.66/16.39 inference(quant_inst,[status(thm)],[])).
% 24.66/16.39 tff(11507,plain,
% 24.66/16.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | v124(constB55)),
% 24.66/16.39 inference(modus_ponens,[status(thm)],[11506, 11505])).
% 24.66/16.39 tff(11508,plain,
% 24.66/16.39 ((~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2))),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11507, 4735, 11504])).
% 24.66/16.39 tff(11509,plain,
% 24.66/16.39 (~v90(constB55, bitIndex2)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11508, 11503, 11486])).
% 24.66/16.39 tff(11510,assumption,(~v120(constB55)), introduced(assumption)).
% 24.66/16.39 tff(11511,plain,
% 24.66/16.39 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | v120(constB55))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | v120(constB55))),
% 24.66/16.39 inference(rewrite,[status(thm)],[])).
% 24.66/16.39 tff(11512,plain,
% 24.66/16.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | v120(constB55))),
% 24.66/16.39 inference(quant_inst,[status(thm)],[])).
% 24.66/16.39 tff(11513,plain,
% 24.66/16.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | v120(constB55)),
% 24.66/16.39 inference(modus_ponens,[status(thm)],[11512, 11511])).
% 24.66/16.39 tff(11514,plain,
% 24.66/16.39 ((~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11513, 2012, 11510])).
% 24.66/16.39 tff(11515,plain,
% 24.66/16.39 ($false),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11514, 11509, 11503, 11486])).
% 24.66/16.39 tff(11516,plain,(v90(constB55, bitIndex1) | v120(constB55) | v124(constB55) | v119(constB55) | v123(constB55)), inference(lemma,lemma(discharge,[]))).
% 24.66/16.39 tff(11517,plain,
% 24.66/16.39 (v90(constB55, bitIndex1)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11516, 11485, 11477, 11476, 11469])).
% 24.66/16.39 tff(11518,assumption,(v90(constB55, bitIndex1)), introduced(assumption)).
% 24.66/16.39 tff(11519,assumption,(~v90(constB55, bitIndex2)), introduced(assumption)).
% 24.66/16.39 tff(11520,assumption,(~v122(constB55)), introduced(assumption)).
% 24.66/16.39 tff(11521,plain,
% 24.66/16.39 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55))),
% 24.66/16.39 inference(rewrite,[status(thm)],[])).
% 24.66/16.39 tff(11522,plain,
% 24.66/16.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55))),
% 24.66/16.39 inference(quant_inst,[status(thm)],[])).
% 24.66/16.39 tff(11523,plain,
% 24.66/16.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55)),
% 24.66/16.39 inference(modus_ponens,[status(thm)],[11522, 11521])).
% 24.66/16.39 tff(11524,plain,
% 24.66/16.39 ((~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11523, 2641, 11520])).
% 24.66/16.39 tff(11525,plain,
% 24.66/16.39 (~v90(constB55, bitIndex0)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11524, 11519, 11518])).
% 24.66/16.39 tff(11526,assumption,(~v121(constB55)), introduced(assumption)).
% 24.66/16.39 tff(11527,plain,
% 24.66/16.39 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v121(constB55))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v121(constB55))),
% 24.66/16.39 inference(rewrite,[status(thm)],[])).
% 24.66/16.39 tff(11528,plain,
% 24.66/16.39 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v121(constB55))),
% 24.66/16.39 inference(quant_inst,[status(thm)],[])).
% 24.66/16.39 tff(11529,plain,
% 24.66/16.39 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v121(constB55)),
% 24.66/16.39 inference(modus_ponens,[status(thm)],[11528, 11527])).
% 24.66/16.39 tff(11530,plain,
% 24.66/16.39 (v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11529, 2145, 11526])).
% 24.66/16.39 tff(11531,plain,
% 24.66/16.39 ($false),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11530, 11525, 11519, 11518])).
% 24.66/16.39 tff(11532,plain,(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | v121(constB55) | v122(constB55)), inference(lemma,lemma(discharge,[]))).
% 24.66/16.39 tff(11533,plain,
% 24.66/16.39 (v90(constB55, bitIndex2)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11532, 11517, 11465, 11460])).
% 24.66/16.39 tff(11534,plain,
% 24.66/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2)))),
% 24.66/16.39 inference(rewrite,[status(thm)],[])).
% 24.66/16.39 tff(11535,plain,
% 24.66/16.39 (((~nextState(constB54, constB55)) | v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2))) <=> (v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2)))),
% 24.66/16.39 inference(rewrite,[status(thm)],[])).
% 24.66/16.39 tff(11536,plain,
% 24.66/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2))))),
% 24.66/16.39 inference(monotonicity,[status(thm)],[11535])).
% 24.66/16.39 tff(11537,plain,
% 24.66/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2)))),
% 24.66/16.39 inference(transitivity,[status(thm)],[11536, 11534])).
% 24.66/16.39 tff(11538,plain,
% 24.66/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2)))),
% 24.66/16.39 inference(quant_inst,[status(thm)],[])).
% 24.66/16.39 tff(11539,plain,
% 24.66/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2))),
% 24.66/16.39 inference(modus_ponens,[status(thm)],[11538, 11537])).
% 24.66/16.39 tff(11540,plain,
% 24.66/16.39 (v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2))),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11539, 892, 9123])).
% 24.66/16.39 tff(11541,plain,
% 24.66/16.39 (v90(constB54, bitIndex2) | (~v90(constB55, bitIndex2))),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11540, 9135])).
% 24.66/16.39 tff(11542,plain,
% 24.66/16.39 (v90(constB54, bitIndex2)),
% 24.66/16.39 inference(unit_resolution,[status(thm)],[11541, 11533])).
% 24.66/16.39 tff(11543,plain,
% 24.66/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex1)))),
% 24.66/16.39 inference(rewrite,[status(thm)],[])).
% 24.66/16.39 tff(11544,plain,
% 24.66/16.39 (((~nextState(constB54, constB55)) | v90(constB54, bitIndex1) | v100(constB55) | (~v90(constB55, bitIndex1))) <=> (v90(constB54, bitIndex1) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex1)))),
% 24.66/16.39 inference(rewrite,[status(thm)],[])).
% 24.66/16.39 tff(11545,plain,
% 24.66/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex1) | v100(constB55) | (~v90(constB55, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex1))))),
% 24.66/16.39 inference(monotonicity,[status(thm)],[11544])).
% 24.66/16.39 tff(11546,plain,
% 24.66/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex1) | v100(constB55) | (~v90(constB55, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex1)))),
% 24.66/16.39 inference(transitivity,[status(thm)],[11545, 11543])).
% 24.66/16.39 tff(11547,plain,
% 24.66/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex1) | v100(constB55) | (~v90(constB55, bitIndex1)))),
% 24.66/16.39 inference(quant_inst,[status(thm)],[])).
% 24.66/16.39 tff(11548,plain,
% 24.66/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex1))),
% 24.66/16.40 inference(modus_ponens,[status(thm)],[11547, 11546])).
% 24.66/16.40 tff(11549,plain,
% 24.66/16.40 (v90(constB54, bitIndex1) | v100(constB55) | (~v90(constB55, bitIndex1))),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11548, 913, 9123])).
% 24.66/16.40 tff(11550,plain,
% 24.66/16.40 (v90(constB54, bitIndex1) | (~v90(constB55, bitIndex1))),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11549, 9135])).
% 24.66/16.40 tff(11551,plain,
% 24.66/16.40 (v90(constB54, bitIndex1)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11550, 11517])).
% 24.66/16.40 tff(11552,plain,
% 24.66/16.40 (~v125(constB55)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[9216, 1672, 11453])).
% 24.66/16.40 tff(11553,plain,
% 24.66/16.40 (v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2))),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[9212, 1661, 11552])).
% 24.66/16.40 tff(11554,plain,
% 24.66/16.40 (v90(constB55, bitIndex0)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11553, 11517, 11533])).
% 24.66/16.40 tff(11555,plain,
% 24.66/16.40 (v90(constB54, bitIndex0)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[9208, 11554])).
% 24.66/16.40 tff(11556,assumption,(~v90(constB53, bitIndex0)), introduced(assumption)).
% 24.66/16.40 tff(11557,plain,
% 24.66/16.40 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB53)) | v90(constB53, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB53)) | v90(constB53, bitIndex0))),
% 24.66/16.40 inference(rewrite,[status(thm)],[])).
% 24.66/16.40 tff(11558,plain,
% 24.66/16.40 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB53)) | v90(constB53, bitIndex0))),
% 24.66/16.40 inference(quant_inst,[status(thm)],[])).
% 24.66/16.40 tff(11559,plain,
% 24.66/16.40 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB53)) | v90(constB53, bitIndex0)),
% 24.66/16.40 inference(modus_ponens,[status(thm)],[11558, 11557])).
% 24.66/16.40 tff(11560,plain,
% 24.66/16.40 (~v122(constB53)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11559, 3163, 11556])).
% 24.66/16.40 tff(11561,assumption,(v90(constB54, bitIndex0)), introduced(assumption)).
% 24.66/16.40 tff(11562,plain,
% 24.66/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB53, bitIndex0) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB53, bitIndex0) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex0)))),
% 24.66/16.40 inference(rewrite,[status(thm)],[])).
% 24.66/16.40 tff(11563,plain,
% 24.66/16.40 (((~nextState(constB53, constB54)) | v90(constB53, bitIndex0) | v100(constB54) | (~v90(constB54, bitIndex0))) <=> (v90(constB53, bitIndex0) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex0)))),
% 24.66/16.40 inference(rewrite,[status(thm)],[])).
% 24.66/16.40 tff(11564,plain,
% 24.66/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB53, constB54)) | v90(constB53, bitIndex0) | v100(constB54) | (~v90(constB54, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB53, bitIndex0) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex0))))),
% 24.66/16.40 inference(monotonicity,[status(thm)],[11563])).
% 24.66/16.40 tff(11565,plain,
% 24.66/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB53, constB54)) | v90(constB53, bitIndex0) | v100(constB54) | (~v90(constB54, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB53, bitIndex0) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex0)))),
% 24.66/16.40 inference(transitivity,[status(thm)],[11564, 11562])).
% 24.66/16.40 tff(11566,plain,
% 24.66/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB53, constB54)) | v90(constB53, bitIndex0) | v100(constB54) | (~v90(constB54, bitIndex0)))),
% 24.66/16.40 inference(quant_inst,[status(thm)],[])).
% 24.66/16.40 tff(11567,plain,
% 24.66/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB53, bitIndex0) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex0))),
% 24.66/16.40 inference(modus_ponens,[status(thm)],[11566, 11565])).
% 24.66/16.40 tff(11568,plain,
% 24.66/16.40 (v90(constB53, bitIndex0) | v100(constB54) | (~v90(constB54, bitIndex0))),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11567, 934, 9064])).
% 24.66/16.40 tff(11569,plain,
% 24.66/16.40 (v100(constB54)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11568, 11556, 11561])).
% 24.66/16.40 tff(11570,assumption,(v90(constB54, bitIndex1)), introduced(assumption)).
% 24.66/16.40 tff(11571,plain,
% 24.66/16.40 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB54, bitIndex1)) | v129(constB54, bitIndex1) | (~v100(constB54)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | v129(constB54, bitIndex1) | (~v100(constB54)))),
% 24.66/16.40 inference(rewrite,[status(thm)],[])).
% 24.66/16.40 tff(11572,plain,
% 24.66/16.40 (((~v90(constB54, bitIndex1)) | (~v100(constB54)) | v129(constB54, bitIndex1)) <=> ((~v90(constB54, bitIndex1)) | v129(constB54, bitIndex1) | (~v100(constB54)))),
% 24.66/16.40 inference(rewrite,[status(thm)],[])).
% 24.66/16.40 tff(11573,plain,
% 24.66/16.40 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB54, bitIndex1)) | (~v100(constB54)) | v129(constB54, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB54, bitIndex1)) | v129(constB54, bitIndex1) | (~v100(constB54))))),
% 24.66/16.40 inference(monotonicity,[status(thm)],[11572])).
% 24.66/16.40 tff(11574,plain,
% 24.66/16.40 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB54, bitIndex1)) | (~v100(constB54)) | v129(constB54, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | v129(constB54, bitIndex1) | (~v100(constB54)))),
% 24.66/16.40 inference(transitivity,[status(thm)],[11573, 11571])).
% 24.66/16.40 tff(11575,plain,
% 24.66/16.40 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB54, bitIndex1)) | (~v100(constB54)) | v129(constB54, bitIndex1))),
% 24.66/16.40 inference(quant_inst,[status(thm)],[])).
% 24.66/16.40 tff(11576,plain,
% 24.66/16.40 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | v129(constB54, bitIndex1) | (~v100(constB54))),
% 24.66/16.40 inference(modus_ponens,[status(thm)],[11575, 11574])).
% 24.66/16.40 tff(11577,plain,
% 24.66/16.40 (v129(constB54, bitIndex1) | (~v100(constB54))),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11576, 1303, 11570])).
% 24.66/16.40 tff(11578,plain,
% 24.66/16.40 (v129(constB54, bitIndex1)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11577, 11569])).
% 24.66/16.40 tff(11579,plain,
% 24.66/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB53, constB54)) | v127(constB53, bitIndex1) | (~v129(constB54, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB53, constB54)) | v127(constB53, bitIndex1) | (~v129(constB54, bitIndex1)))),
% 24.66/16.40 inference(rewrite,[status(thm)],[])).
% 24.66/16.40 tff(11580,plain,
% 24.66/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB53, constB54)) | v127(constB53, bitIndex1) | (~v129(constB54, bitIndex1)))),
% 24.66/16.40 inference(quant_inst,[status(thm)],[])).
% 24.66/16.40 tff(11581,plain,
% 24.66/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB53, constB54)) | v127(constB53, bitIndex1) | (~v129(constB54, bitIndex1))),
% 24.66/16.40 inference(modus_ponens,[status(thm)],[11580, 11579])).
% 24.66/16.40 tff(11582,plain,
% 24.66/16.40 (v127(constB53, bitIndex1) | (~v129(constB54, bitIndex1))),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11581, 1288, 9064])).
% 24.66/16.40 tff(11583,plain,
% 24.66/16.40 (v127(constB53, bitIndex1)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11582, 11578])).
% 24.66/16.40 tff(11584,plain,
% 24.66/16.40 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB53)) | (~v127(constB53, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB53)) | (~v127(constB53, bitIndex1)))),
% 24.66/16.40 inference(rewrite,[status(thm)],[])).
% 24.66/16.40 tff(11585,plain,
% 24.66/16.40 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB53)) | (~v127(constB53, bitIndex1)))),
% 24.66/16.40 inference(quant_inst,[status(thm)],[])).
% 24.66/16.40 tff(11586,plain,
% 24.66/16.40 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB53)) | (~v127(constB53, bitIndex1))),
% 24.66/16.40 inference(modus_ponens,[status(thm)],[11585, 11584])).
% 24.66/16.40 tff(11587,plain,
% 24.66/16.40 (~v26(constB53)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11586, 6377, 11583])).
% 24.66/16.40 tff(11588,assumption,(v90(constB54, bitIndex2)), introduced(assumption)).
% 24.66/16.40 tff(11589,plain,
% 24.66/16.40 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54)))),
% 24.66/16.40 inference(rewrite,[status(thm)],[])).
% 24.66/16.40 tff(11590,plain,
% 24.66/16.40 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54)))),
% 24.66/16.40 inference(quant_inst,[status(thm)],[])).
% 24.66/16.40 tff(11591,plain,
% 24.66/16.40 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54))),
% 24.66/16.40 inference(modus_ponens,[status(thm)],[11590, 11589])).
% 24.66/16.40 tff(11592,plain,
% 24.66/16.40 (v129(constB54, bitIndex2) | (~v100(constB54))),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11591, 1845, 11588])).
% 24.66/16.40 tff(11593,plain,
% 24.66/16.40 (v129(constB54, bitIndex2)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11592, 11569])).
% 24.66/16.40 tff(11594,plain,
% 24.66/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2)))),
% 24.66/16.40 inference(rewrite,[status(thm)],[])).
% 24.66/16.40 tff(11595,plain,
% 24.66/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2)))),
% 24.66/16.40 inference(quant_inst,[status(thm)],[])).
% 24.66/16.40 tff(11596,plain,
% 24.66/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2))),
% 24.66/16.40 inference(modus_ponens,[status(thm)],[11595, 11594])).
% 24.66/16.40 tff(11597,plain,
% 24.66/16.40 (v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2))),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11596, 1830, 9064])).
% 24.66/16.40 tff(11598,plain,
% 24.66/16.40 (v127(constB53, bitIndex2)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11597, 11593])).
% 24.66/16.40 tff(11599,plain,
% 24.66/16.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))),
% 24.66/16.40 inference(rewrite,[status(thm)],[])).
% 24.66/16.40 tff(11600,plain,
% 24.66/16.40 ((v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2))) <=> ((~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))),
% 24.66/16.40 inference(rewrite,[status(thm)],[])).
% 24.66/16.40 tff(11601,plain,
% 24.66/16.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2)))),
% 24.66/16.40 inference(monotonicity,[status(thm)],[11600])).
% 24.66/16.40 tff(11602,plain,
% 24.66/16.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))),
% 24.66/16.40 inference(transitivity,[status(thm)],[11601, 11599])).
% 24.66/16.40 tff(11603,plain,
% 24.66/16.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2)))),
% 24.66/16.40 inference(quant_inst,[status(thm)],[])).
% 24.66/16.40 tff(11604,plain,
% 24.66/16.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2)),
% 24.66/16.40 inference(modus_ponens,[status(thm)],[11603, 11602])).
% 24.66/16.40 tff(11605,plain,
% 24.66/16.40 (v130(constB53, bitIndex2)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11604, 1812, 11598, 11587])).
% 24.66/16.40 tff(11606,plain,
% 24.66/16.40 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB53)) | v90(constB53, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB53)) | v90(constB53, bitIndex0))),
% 24.66/16.40 inference(rewrite,[status(thm)],[])).
% 24.66/16.40 tff(11607,plain,
% 24.66/16.40 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB53)) | v90(constB53, bitIndex0))),
% 24.66/16.40 inference(quant_inst,[status(thm)],[])).
% 24.66/16.40 tff(11608,plain,
% 24.66/16.40 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB53)) | v90(constB53, bitIndex0)),
% 24.66/16.40 inference(modus_ponens,[status(thm)],[11607, 11606])).
% 24.66/16.40 tff(11609,plain,
% 24.66/16.40 (~v124(constB53)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11608, 3174, 11556])).
% 24.66/16.40 tff(11610,plain,
% 24.66/16.40 (v129(constB54, bitIndex0) | (~v100(constB54))),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[9198, 1374, 11561])).
% 24.66/16.40 tff(11611,plain,
% 24.66/16.40 (v129(constB54, bitIndex0)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11610, 11569])).
% 24.66/16.40 tff(11612,plain,
% 24.66/16.40 (v127(constB53, bitIndex0)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[9191, 11611])).
% 24.66/16.40 tff(11613,plain,
% 24.66/16.40 (v130(constB53, bitIndex0)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[9185, 1341, 11612, 11587])).
% 24.66/16.40 tff(11614,plain,
% 24.66/16.40 (~v123(constB53)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[9178, 1617, 11613])).
% 24.66/16.40 tff(11615,plain,
% 24.66/16.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB53, bitIndex1)) | v26(constB53) | v130(constB53, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB53, bitIndex1)) | v26(constB53) | v130(constB53, bitIndex1))),
% 24.66/16.40 inference(rewrite,[status(thm)],[])).
% 24.66/16.40 tff(11616,plain,
% 24.66/16.40 ((v26(constB53) | v130(constB53, bitIndex1) | (~v127(constB53, bitIndex1))) <=> ((~v127(constB53, bitIndex1)) | v26(constB53) | v130(constB53, bitIndex1))),
% 24.66/16.40 inference(rewrite,[status(thm)],[])).
% 24.66/16.40 tff(11617,plain,
% 24.66/16.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB53) | v130(constB53, bitIndex1) | (~v127(constB53, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB53, bitIndex1)) | v26(constB53) | v130(constB53, bitIndex1)))),
% 24.66/16.40 inference(monotonicity,[status(thm)],[11616])).
% 24.66/16.40 tff(11618,plain,
% 24.66/16.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB53) | v130(constB53, bitIndex1) | (~v127(constB53, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB53, bitIndex1)) | v26(constB53) | v130(constB53, bitIndex1))),
% 24.66/16.40 inference(transitivity,[status(thm)],[11617, 11615])).
% 24.66/16.40 tff(11619,plain,
% 24.66/16.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB53) | v130(constB53, bitIndex1) | (~v127(constB53, bitIndex1)))),
% 24.66/16.40 inference(quant_inst,[status(thm)],[])).
% 24.66/16.40 tff(11620,plain,
% 24.66/16.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB53, bitIndex1)) | v26(constB53) | v130(constB53, bitIndex1)),
% 24.66/16.40 inference(modus_ponens,[status(thm)],[11619, 11618])).
% 24.66/16.40 tff(11621,plain,
% 24.66/16.40 (v130(constB53, bitIndex1)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11620, 1270, 11583, 11587])).
% 24.66/16.40 tff(11622,plain,
% 24.66/16.40 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB53)) | (~v130(constB53, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB53)) | (~v130(constB53, bitIndex1)))),
% 24.66/16.40 inference(rewrite,[status(thm)],[])).
% 24.66/16.40 tff(11623,plain,
% 24.66/16.40 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB53)) | (~v130(constB53, bitIndex1)))),
% 24.66/16.40 inference(quant_inst,[status(thm)],[])).
% 24.66/16.40 tff(11624,plain,
% 24.66/16.40 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB53)) | (~v130(constB53, bitIndex1))),
% 24.66/16.40 inference(modus_ponens,[status(thm)],[11623, 11622])).
% 24.66/16.40 tff(11625,plain,
% 24.66/16.40 (~v119(constB53)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11624, 1256, 11621])).
% 24.66/16.40 tff(11626,plain,
% 24.66/16.40 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB53)) | v90(constB53, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB53)) | v90(constB53, bitIndex0))),
% 24.66/16.40 inference(rewrite,[status(thm)],[])).
% 24.66/16.40 tff(11627,plain,
% 24.66/16.40 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB53)) | v90(constB53, bitIndex0))),
% 24.66/16.40 inference(quant_inst,[status(thm)],[])).
% 24.66/16.40 tff(11628,plain,
% 24.66/16.40 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB53)) | v90(constB53, bitIndex0)),
% 24.66/16.40 inference(modus_ponens,[status(thm)],[11627, 11626])).
% 24.66/16.40 tff(11629,plain,
% 24.66/16.40 (~v120(constB53)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11628, 3185, 11556])).
% 24.66/16.40 tff(11630,plain,
% 24.66/16.40 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB53) | v120(constB53) | v121(constB53) | v122(constB53) | v123(constB53) | v124(constB53) | (~v130(constB53, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB53) | v120(constB53) | v121(constB53) | v122(constB53) | v123(constB53) | v124(constB53) | (~v130(constB53, bitIndex2)))),
% 24.66/16.40 inference(rewrite,[status(thm)],[])).
% 24.66/16.40 tff(11631,plain,
% 24.66/16.40 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB53) | v120(constB53) | v121(constB53) | v122(constB53) | v123(constB53) | v124(constB53) | (~v130(constB53, bitIndex2)))),
% 24.66/16.40 inference(quant_inst,[status(thm)],[])).
% 24.66/16.40 tff(11632,plain,
% 24.66/16.40 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB53) | v120(constB53) | v121(constB53) | v122(constB53) | v123(constB53) | v124(constB53) | (~v130(constB53, bitIndex2))),
% 24.66/16.40 inference(modus_ponens,[status(thm)],[11631, 11630])).
% 24.66/16.40 tff(11633,plain,
% 24.66/16.40 (v121(constB53)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11632, 1798, 11629, 11625, 11614, 11609, 11605, 11560])).
% 24.66/16.40 tff(11634,plain,
% 24.66/16.40 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB53)) | (~v130(constB53, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB53)) | (~v130(constB53, bitIndex2)))),
% 24.66/16.40 inference(rewrite,[status(thm)],[])).
% 24.66/16.40 tff(11635,plain,
% 24.66/16.40 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB53)) | (~v130(constB53, bitIndex2)))),
% 24.66/16.40 inference(quant_inst,[status(thm)],[])).
% 24.66/16.40 tff(11636,plain,
% 24.66/16.40 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB53)) | (~v130(constB53, bitIndex2))),
% 24.66/16.40 inference(modus_ponens,[status(thm)],[11635, 11634])).
% 24.66/16.40 tff(11637,plain,
% 24.66/16.40 ($false),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11636, 2406, 11605, 11633])).
% 24.66/16.40 tff(11638,plain,(v90(constB53, bitIndex0) | (~v90(constB54, bitIndex2)) | (~v90(constB54, bitIndex0)) | (~v90(constB54, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 24.66/16.40 tff(11639,plain,
% 24.66/16.40 (v90(constB53, bitIndex0)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11638, 11555, 11542, 11551])).
% 24.66/16.40 tff(11640,plain,
% 24.66/16.40 (v90(constB52, bitIndex0)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[8978, 11639])).
% 24.66/16.40 tff(11641,assumption,(~v100(constB54)), introduced(assumption)).
% 24.66/16.40 tff(11642,plain,
% 24.66/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB53, bitIndex2) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB53, bitIndex2) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex2)))),
% 24.66/16.40 inference(rewrite,[status(thm)],[])).
% 24.66/16.40 tff(11643,plain,
% 24.66/16.40 (((~nextState(constB53, constB54)) | v90(constB53, bitIndex2) | v100(constB54) | (~v90(constB54, bitIndex2))) <=> (v90(constB53, bitIndex2) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex2)))),
% 24.66/16.40 inference(rewrite,[status(thm)],[])).
% 24.66/16.40 tff(11644,plain,
% 24.66/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v90(constB53, bitIndex2) | v100(constB54) | (~v90(constB54, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB53, bitIndex2) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex2))))),
% 24.66/16.40 inference(monotonicity,[status(thm)],[11643])).
% 24.66/16.40 tff(11645,plain,
% 24.66/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v90(constB53, bitIndex2) | v100(constB54) | (~v90(constB54, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB53, bitIndex2) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex2)))),
% 24.66/16.40 inference(transitivity,[status(thm)],[11644, 11642])).
% 24.66/16.40 tff(11646,plain,
% 24.66/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v90(constB53, bitIndex2) | v100(constB54) | (~v90(constB54, bitIndex2)))),
% 24.66/16.40 inference(quant_inst,[status(thm)],[])).
% 24.66/16.40 tff(11647,plain,
% 24.66/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB53, bitIndex2) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex2))),
% 24.66/16.40 inference(modus_ponens,[status(thm)],[11646, 11645])).
% 24.66/16.40 tff(11648,plain,
% 24.66/16.40 (v90(constB53, bitIndex2) | v100(constB54) | (~v90(constB54, bitIndex2))),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11647, 892, 9064])).
% 24.66/16.40 tff(11649,plain,
% 24.66/16.40 (v90(constB53, bitIndex2)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11648, 11641, 11588])).
% 24.66/16.40 tff(11650,plain,
% 24.66/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2)))),
% 24.66/16.40 inference(rewrite,[status(thm)],[])).
% 24.66/16.40 tff(11651,plain,
% 24.66/16.40 (((~nextState(constB52, constB53)) | v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2))) <=> (v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2)))),
% 24.66/16.40 inference(rewrite,[status(thm)],[])).
% 24.66/16.40 tff(11652,plain,
% 24.66/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2))))),
% 24.66/16.40 inference(monotonicity,[status(thm)],[11651])).
% 24.66/16.40 tff(11653,plain,
% 24.66/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2)))),
% 24.66/16.40 inference(transitivity,[status(thm)],[11652, 11650])).
% 24.66/16.40 tff(11654,plain,
% 24.66/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2)))),
% 24.66/16.40 inference(quant_inst,[status(thm)],[])).
% 24.66/16.40 tff(11655,plain,
% 24.66/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2))),
% 24.66/16.40 inference(modus_ponens,[status(thm)],[11654, 11653])).
% 24.66/16.40 tff(11656,plain,
% 24.66/16.40 (v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2))),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11655, 892, 8924])).
% 24.66/16.40 tff(11657,plain,
% 24.66/16.40 (v90(constB52, bitIndex2) | (~v90(constB53, bitIndex2))),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11656, 8936])).
% 24.66/16.40 tff(11658,plain,
% 24.66/16.40 (v90(constB52, bitIndex2)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11657, 11649])).
% 24.66/16.40 tff(11659,assumption,(v90(constB52, bitIndex0)), introduced(assumption)).
% 24.66/16.40 tff(11660,plain,
% 24.66/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB53, bitIndex1) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB53, bitIndex1) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex1)))),
% 24.66/16.40 inference(rewrite,[status(thm)],[])).
% 24.66/16.40 tff(11661,plain,
% 24.66/16.40 (((~nextState(constB53, constB54)) | v90(constB53, bitIndex1) | v100(constB54) | (~v90(constB54, bitIndex1))) <=> (v90(constB53, bitIndex1) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex1)))),
% 24.66/16.40 inference(rewrite,[status(thm)],[])).
% 24.66/16.40 tff(11662,plain,
% 24.66/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB53, constB54)) | v90(constB53, bitIndex1) | v100(constB54) | (~v90(constB54, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB53, bitIndex1) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex1))))),
% 24.66/16.40 inference(monotonicity,[status(thm)],[11661])).
% 24.66/16.40 tff(11663,plain,
% 24.66/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB53, constB54)) | v90(constB53, bitIndex1) | v100(constB54) | (~v90(constB54, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB53, bitIndex1) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex1)))),
% 24.66/16.40 inference(transitivity,[status(thm)],[11662, 11660])).
% 24.66/16.40 tff(11664,plain,
% 24.66/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB53, constB54)) | v90(constB53, bitIndex1) | v100(constB54) | (~v90(constB54, bitIndex1)))),
% 24.66/16.40 inference(quant_inst,[status(thm)],[])).
% 24.66/16.40 tff(11665,plain,
% 24.66/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB53, bitIndex1) | (~nextState(constB53, constB54)) | v100(constB54) | (~v90(constB54, bitIndex1))),
% 24.66/16.40 inference(modus_ponens,[status(thm)],[11664, 11663])).
% 24.66/16.40 tff(11666,plain,
% 24.66/16.40 (v90(constB53, bitIndex1) | v100(constB54) | (~v90(constB54, bitIndex1))),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11665, 913, 9064])).
% 24.66/16.40 tff(11667,plain,
% 24.66/16.40 (v90(constB53, bitIndex1)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[11666, 11641, 11570])).
% 24.66/16.40 tff(11668,plain,
% 24.66/16.40 (v90(constB52, bitIndex1)),
% 24.66/16.40 inference(unit_resolution,[status(thm)],[9012, 11667])).
% 24.66/16.40 tff(11669,assumption,(v90(constB52, bitIndex2)), introduced(assumption)).
% 24.66/16.40 tff(11670,assumption,(v90(constB52, bitIndex1)), introduced(assumption)).
% 24.66/16.40 tff(11671,assumption,(~v90(constB51, bitIndex0)), introduced(assumption)).
% 24.66/16.40 tff(11672,plain,
% 24.66/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB51, bitIndex0) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB51, bitIndex0) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex0)))),
% 24.66/16.41 inference(rewrite,[status(thm)],[])).
% 24.66/16.41 tff(11673,plain,
% 24.66/16.41 (((~nextState(constB51, constB52)) | v90(constB51, bitIndex0) | v100(constB52) | (~v90(constB52, bitIndex0))) <=> (v90(constB51, bitIndex0) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex0)))),
% 24.66/16.41 inference(rewrite,[status(thm)],[])).
% 24.66/16.41 tff(11674,plain,
% 24.66/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v90(constB51, bitIndex0) | v100(constB52) | (~v90(constB52, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB51, bitIndex0) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex0))))),
% 24.66/16.41 inference(monotonicity,[status(thm)],[11673])).
% 24.66/16.41 tff(11675,plain,
% 24.66/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v90(constB51, bitIndex0) | v100(constB52) | (~v90(constB52, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB51, bitIndex0) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex0)))),
% 24.66/16.41 inference(transitivity,[status(thm)],[11674, 11672])).
% 24.66/16.41 tff(11676,plain,
% 24.66/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v90(constB51, bitIndex0) | v100(constB52) | (~v90(constB52, bitIndex0)))),
% 24.66/16.41 inference(quant_inst,[status(thm)],[])).
% 24.66/16.41 tff(11677,plain,
% 24.66/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB51, bitIndex0) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex0))),
% 24.66/16.41 inference(modus_ponens,[status(thm)],[11676, 11675])).
% 24.66/16.41 tff(11678,plain,
% 24.66/16.41 (v90(constB51, bitIndex0) | v100(constB52) | (~v90(constB52, bitIndex0))),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11677, 934, 8862])).
% 24.66/16.41 tff(11679,plain,
% 24.66/16.41 (v100(constB52)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11678, 11671, 11659])).
% 24.66/16.41 tff(11680,plain,
% 24.66/16.41 (v129(constB52, bitIndex0) | (~v100(constB52))),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[8968, 1374, 11659])).
% 24.66/16.41 tff(11681,plain,
% 24.66/16.41 (v129(constB52, bitIndex0)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11680, 11679])).
% 24.66/16.41 tff(11682,plain,
% 24.66/16.41 (v127(constB51, bitIndex0)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[8961, 11681])).
% 24.66/16.41 tff(11683,plain,
% 24.66/16.41 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB51)) | (~v127(constB51, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB51)) | (~v127(constB51, bitIndex0)))),
% 24.66/16.41 inference(rewrite,[status(thm)],[])).
% 24.66/16.41 tff(11684,plain,
% 24.66/16.41 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB51)) | (~v127(constB51, bitIndex0)))),
% 24.66/16.41 inference(quant_inst,[status(thm)],[])).
% 24.66/16.41 tff(11685,plain,
% 24.66/16.41 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB51)) | (~v127(constB51, bitIndex0))),
% 24.66/16.41 inference(modus_ponens,[status(thm)],[11684, 11683])).
% 24.66/16.41 tff(11686,plain,
% 24.66/16.41 (~v26(constB51)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11685, 2189, 11682])).
% 24.66/16.41 tff(11687,plain,
% 24.66/16.41 (v130(constB51, bitIndex0)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[8955, 1341, 11682, 11686])).
% 24.66/16.41 tff(11688,plain,
% 24.66/16.41 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB51)) | (~v130(constB51, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB51)) | (~v130(constB51, bitIndex0)))),
% 24.66/16.41 inference(rewrite,[status(thm)],[])).
% 24.66/16.41 tff(11689,plain,
% 24.66/16.41 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB51)) | (~v130(constB51, bitIndex0)))),
% 24.66/16.41 inference(quant_inst,[status(thm)],[])).
% 24.66/16.41 tff(11690,plain,
% 24.66/16.41 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB51)) | (~v130(constB51, bitIndex0))),
% 24.66/16.41 inference(modus_ponens,[status(thm)],[11689, 11688])).
% 24.66/16.41 tff(11691,plain,
% 24.66/16.41 (~v119(constB51)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11690, 1327, 11687])).
% 24.66/16.41 tff(11692,plain,
% 24.66/16.41 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB51)) | v90(constB51, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB51)) | v90(constB51, bitIndex0))),
% 24.66/16.41 inference(rewrite,[status(thm)],[])).
% 24.66/16.41 tff(11693,plain,
% 24.66/16.41 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB51)) | v90(constB51, bitIndex0))),
% 24.66/16.41 inference(quant_inst,[status(thm)],[])).
% 24.66/16.41 tff(11694,plain,
% 24.66/16.41 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB51)) | v90(constB51, bitIndex0)),
% 24.66/16.41 inference(modus_ponens,[status(thm)],[11693, 11692])).
% 24.66/16.41 tff(11695,plain,
% 24.66/16.41 (~v120(constB51)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11694, 3185, 11671])).
% 24.66/16.41 tff(11696,plain,
% 24.66/16.41 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB51)) | v90(constB51, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB51)) | v90(constB51, bitIndex0))),
% 24.66/16.41 inference(rewrite,[status(thm)],[])).
% 24.66/16.41 tff(11697,plain,
% 24.66/16.41 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB51)) | v90(constB51, bitIndex0))),
% 24.66/16.41 inference(quant_inst,[status(thm)],[])).
% 24.66/16.41 tff(11698,plain,
% 24.66/16.41 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB51)) | v90(constB51, bitIndex0)),
% 24.66/16.41 inference(modus_ponens,[status(thm)],[11697, 11696])).
% 24.66/16.41 tff(11699,plain,
% 24.66/16.41 (~v122(constB51)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11698, 3163, 11671])).
% 24.66/16.41 tff(11700,plain,
% 24.66/16.41 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB51)) | (~v130(constB51, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB51)) | (~v130(constB51, bitIndex0)))),
% 24.66/16.41 inference(rewrite,[status(thm)],[])).
% 24.66/16.41 tff(11701,plain,
% 24.66/16.41 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB51)) | (~v130(constB51, bitIndex0)))),
% 24.66/16.41 inference(quant_inst,[status(thm)],[])).
% 24.66/16.41 tff(11702,plain,
% 24.66/16.41 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB51)) | (~v130(constB51, bitIndex0))),
% 24.66/16.41 inference(modus_ponens,[status(thm)],[11701, 11700])).
% 24.66/16.41 tff(11703,plain,
% 24.66/16.41 (~v123(constB51)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11702, 1617, 11687])).
% 24.66/16.41 tff(11704,plain,
% 24.66/16.41 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB51)) | v90(constB51, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB51)) | v90(constB51, bitIndex0))),
% 24.66/16.41 inference(rewrite,[status(thm)],[])).
% 24.66/16.41 tff(11705,plain,
% 24.66/16.41 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB51)) | v90(constB51, bitIndex0))),
% 24.66/16.41 inference(quant_inst,[status(thm)],[])).
% 24.66/16.41 tff(11706,plain,
% 24.66/16.41 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB51)) | v90(constB51, bitIndex0)),
% 24.66/16.41 inference(modus_ponens,[status(thm)],[11705, 11704])).
% 24.66/16.41 tff(11707,plain,
% 24.66/16.41 (~v124(constB51)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11706, 3174, 11671])).
% 24.66/16.41 tff(11708,plain,
% 24.66/16.41 (v129(constB52, bitIndex1) | (~v100(constB52))),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[9002, 1303, 11670])).
% 24.66/16.41 tff(11709,plain,
% 24.66/16.41 (v129(constB52, bitIndex1)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11708, 11679])).
% 24.66/16.41 tff(11710,plain,
% 24.66/16.41 (v127(constB51, bitIndex1)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[8995, 11709])).
% 24.66/16.41 tff(11711,plain,
% 24.66/16.41 (v130(constB51, bitIndex1)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[8989, 1270, 11710, 11686])).
% 24.66/16.41 tff(11712,plain,
% 24.66/16.41 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB51) | v120(constB51) | v121(constB51) | v122(constB51) | v123(constB51) | v124(constB51) | (~v130(constB51, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB51) | v120(constB51) | v121(constB51) | v122(constB51) | v123(constB51) | v124(constB51) | (~v130(constB51, bitIndex1)))),
% 24.66/16.41 inference(rewrite,[status(thm)],[])).
% 24.66/16.41 tff(11713,plain,
% 24.66/16.41 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB51) | v120(constB51) | v121(constB51) | v122(constB51) | v123(constB51) | v124(constB51) | (~v130(constB51, bitIndex1)))),
% 24.66/16.41 inference(quant_inst,[status(thm)],[])).
% 24.66/16.41 tff(11714,plain,
% 24.66/16.41 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB51) | v120(constB51) | v121(constB51) | v122(constB51) | v123(constB51) | v124(constB51) | (~v130(constB51, bitIndex1))),
% 24.66/16.41 inference(modus_ponens,[status(thm)],[11713, 11712])).
% 24.66/16.41 tff(11715,plain,
% 24.66/16.41 (v121(constB51)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11714, 1887, 11711, 11707, 11703, 11699, 11695, 11691])).
% 24.66/16.41 tff(11716,plain,
% 24.66/16.41 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52)))),
% 24.66/16.41 inference(rewrite,[status(thm)],[])).
% 24.66/16.41 tff(11717,plain,
% 24.66/16.41 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52)))),
% 24.66/16.41 inference(quant_inst,[status(thm)],[])).
% 24.66/16.41 tff(11718,plain,
% 24.66/16.41 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52))),
% 24.66/16.41 inference(modus_ponens,[status(thm)],[11717, 11716])).
% 24.66/16.41 tff(11719,plain,
% 24.66/16.41 (v129(constB52, bitIndex2) | (~v100(constB52))),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11718, 1845, 11669])).
% 24.66/16.41 tff(11720,plain,
% 24.66/16.41 (v129(constB52, bitIndex2)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11719, 11679])).
% 24.66/16.41 tff(11721,plain,
% 24.66/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2)))),
% 24.66/16.41 inference(rewrite,[status(thm)],[])).
% 24.66/16.41 tff(11722,plain,
% 24.66/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2)))),
% 24.66/16.41 inference(quant_inst,[status(thm)],[])).
% 24.66/16.41 tff(11723,plain,
% 24.66/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2))),
% 24.66/16.41 inference(modus_ponens,[status(thm)],[11722, 11721])).
% 24.66/16.41 tff(11724,plain,
% 24.66/16.41 (v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2))),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11723, 1830, 8862])).
% 24.66/16.41 tff(11725,plain,
% 24.66/16.41 (v127(constB51, bitIndex2)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11724, 11720])).
% 24.66/16.41 tff(11726,plain,
% 24.66/16.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))),
% 24.66/16.41 inference(rewrite,[status(thm)],[])).
% 24.66/16.41 tff(11727,plain,
% 24.66/16.41 ((v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2))) <=> ((~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))),
% 24.66/16.41 inference(rewrite,[status(thm)],[])).
% 24.66/16.41 tff(11728,plain,
% 24.66/16.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2)))),
% 24.66/16.41 inference(monotonicity,[status(thm)],[11727])).
% 24.66/16.41 tff(11729,plain,
% 24.66/16.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))),
% 24.66/16.41 inference(transitivity,[status(thm)],[11728, 11726])).
% 24.66/16.41 tff(11730,plain,
% 24.66/16.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2)))),
% 24.66/16.41 inference(quant_inst,[status(thm)],[])).
% 24.66/16.41 tff(11731,plain,
% 24.66/16.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2)),
% 24.66/16.41 inference(modus_ponens,[status(thm)],[11730, 11729])).
% 24.66/16.41 tff(11732,plain,
% 24.66/16.41 (v130(constB51, bitIndex2)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11731, 1812, 11725, 11686])).
% 24.66/16.41 tff(11733,plain,
% 24.66/16.41 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB51)) | (~v130(constB51, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB51)) | (~v130(constB51, bitIndex2)))),
% 24.66/16.41 inference(rewrite,[status(thm)],[])).
% 24.66/16.41 tff(11734,plain,
% 24.66/16.41 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB51)) | (~v130(constB51, bitIndex2)))),
% 24.66/16.41 inference(quant_inst,[status(thm)],[])).
% 24.66/16.41 tff(11735,plain,
% 24.66/16.41 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB51)) | (~v130(constB51, bitIndex2))),
% 24.66/16.41 inference(modus_ponens,[status(thm)],[11734, 11733])).
% 24.66/16.41 tff(11736,plain,
% 24.66/16.41 ($false),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11735, 2406, 11732, 11715])).
% 24.66/16.41 tff(11737,plain,(v90(constB51, bitIndex0) | (~v90(constB52, bitIndex2)) | (~v90(constB52, bitIndex1)) | (~v90(constB52, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 24.66/16.41 tff(11738,plain,
% 24.66/16.41 (v90(constB51, bitIndex0)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11737, 11669, 11659, 11670])).
% 24.66/16.41 tff(11739,plain,
% 24.66/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex0)))),
% 24.66/16.41 inference(rewrite,[status(thm)],[])).
% 24.66/16.41 tff(11740,plain,
% 24.66/16.41 (((~nextState(constB50, constB51)) | v90(constB50, bitIndex0) | v100(constB51) | (~v90(constB51, bitIndex0))) <=> (v90(constB50, bitIndex0) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex0)))),
% 24.66/16.41 inference(rewrite,[status(thm)],[])).
% 24.66/16.41 tff(11741,plain,
% 24.66/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex0) | v100(constB51) | (~v90(constB51, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex0))))),
% 24.66/16.41 inference(monotonicity,[status(thm)],[11740])).
% 24.66/16.41 tff(11742,plain,
% 24.66/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex0) | v100(constB51) | (~v90(constB51, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex0)))),
% 24.66/16.41 inference(transitivity,[status(thm)],[11741, 11739])).
% 24.66/16.41 tff(11743,plain,
% 24.66/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex0) | v100(constB51) | (~v90(constB51, bitIndex0)))),
% 24.66/16.41 inference(quant_inst,[status(thm)],[])).
% 24.66/16.41 tff(11744,plain,
% 24.66/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex0))),
% 24.66/16.41 inference(modus_ponens,[status(thm)],[11743, 11742])).
% 24.66/16.41 tff(11745,plain,
% 24.66/16.41 (v90(constB50, bitIndex0) | v100(constB51) | (~v90(constB51, bitIndex0))),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11744, 934, 8709])).
% 24.66/16.41 tff(11746,plain,
% 24.66/16.41 (v90(constB50, bitIndex0) | (~v90(constB51, bitIndex0))),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11745, 8721])).
% 24.66/16.41 tff(11747,plain,
% 24.66/16.41 (v90(constB50, bitIndex0)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11746, 11738])).
% 24.66/16.41 tff(11748,assumption,(~v90(constB49, bitIndex0)), introduced(assumption)).
% 24.66/16.41 tff(11749,plain,
% 24.66/16.41 (v100(constB50)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[8760, 11748, 11747])).
% 24.66/16.41 tff(11750,assumption,(v121(constB49)), introduced(assumption)).
% 24.66/16.41 tff(11751,plain,
% 24.66/16.41 (v130(constB49, bitIndex1)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[8742, 2562, 11750])).
% 24.66/16.41 tff(11752,plain,
% 24.66/16.41 (v127(constB49, bitIndex1)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[8747, 11751])).
% 24.66/16.41 tff(11753,plain,
% 24.66/16.41 (v129(constB50, bitIndex1)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[8752, 11752])).
% 24.66/16.41 tff(11754,assumption,(v100(constB50)), introduced(assumption)).
% 24.66/16.41 tff(11755,plain,
% 24.66/16.41 (v90(constB50, bitIndex1) | (~v129(constB50, bitIndex1))),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[8767, 1583, 11754])).
% 24.66/16.41 tff(11756,plain,
% 24.66/16.41 (v90(constB50, bitIndex1)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11755, 11753])).
% 24.66/16.41 tff(11757,plain,
% 24.66/16.41 (v90(constB51, bitIndex1)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[8777, 11756])).
% 24.66/16.41 tff(11758,plain,
% 24.66/16.41 (~v130(constB49, bitIndex2)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[8781, 2406, 11750])).
% 24.66/16.41 tff(11759,plain,
% 24.66/16.41 (~v127(constB49, bitIndex2)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[8789, 11758])).
% 24.66/16.41 tff(11760,plain,
% 24.66/16.41 (~v129(constB50, bitIndex2)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[8794, 11759])).
% 24.66/16.41 tff(11761,plain,
% 24.66/16.41 ((~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[8798, 1845, 11754])).
% 24.66/16.41 tff(11762,plain,
% 24.66/16.41 (~v90(constB50, bitIndex2)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11761, 11760])).
% 24.66/16.41 tff(11763,plain,
% 24.66/16.41 (~v90(constB51, bitIndex2)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[8808, 11762])).
% 24.66/16.41 tff(11764,assumption,(v90(constB51, bitIndex0)), introduced(assumption)).
% 24.66/16.41 tff(11765,plain,
% 24.66/16.41 ((~v90(constB51, bitIndex1)) | v90(constB51, bitIndex2) | v122(constB51)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[8813, 2641, 11764])).
% 24.66/16.41 tff(11766,plain,
% 24.66/16.41 (v122(constB51)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11765, 11763, 11757])).
% 24.66/16.41 tff(11767,plain,
% 24.66/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB51, bitIndex2) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB51, bitIndex2) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex2)))),
% 24.66/16.41 inference(rewrite,[status(thm)],[])).
% 24.66/16.41 tff(11768,plain,
% 24.66/16.41 (((~nextState(constB51, constB52)) | v90(constB51, bitIndex2) | v100(constB52) | (~v90(constB52, bitIndex2))) <=> (v90(constB51, bitIndex2) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex2)))),
% 24.66/16.41 inference(rewrite,[status(thm)],[])).
% 24.66/16.41 tff(11769,plain,
% 24.66/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB51, constB52)) | v90(constB51, bitIndex2) | v100(constB52) | (~v90(constB52, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB51, bitIndex2) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex2))))),
% 24.66/16.41 inference(monotonicity,[status(thm)],[11768])).
% 24.66/16.41 tff(11770,plain,
% 24.66/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB51, constB52)) | v90(constB51, bitIndex2) | v100(constB52) | (~v90(constB52, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB51, bitIndex2) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex2)))),
% 24.66/16.41 inference(transitivity,[status(thm)],[11769, 11767])).
% 24.66/16.41 tff(11771,plain,
% 24.66/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB51, constB52)) | v90(constB51, bitIndex2) | v100(constB52) | (~v90(constB52, bitIndex2)))),
% 24.66/16.41 inference(quant_inst,[status(thm)],[])).
% 24.66/16.41 tff(11772,plain,
% 24.66/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB51, bitIndex2) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex2))),
% 24.66/16.41 inference(modus_ponens,[status(thm)],[11771, 11770])).
% 24.66/16.41 tff(11773,plain,
% 24.66/16.41 (v90(constB51, bitIndex2) | v100(constB52) | (~v90(constB52, bitIndex2))),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11772, 892, 8862])).
% 24.66/16.41 tff(11774,plain,
% 24.66/16.41 (v100(constB52)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11773, 11763, 11669])).
% 24.66/16.41 tff(11775,plain,
% 24.66/16.41 (v129(constB52, bitIndex0)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11680, 11774])).
% 24.66/16.41 tff(11776,plain,
% 24.66/16.41 (v127(constB51, bitIndex0)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[8961, 11775])).
% 24.66/16.41 tff(11777,plain,
% 24.66/16.41 (v130(constB51, bitIndex0)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[8956, 11776])).
% 24.66/16.41 tff(11778,plain,
% 24.66/16.41 ($false),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[8948, 2833, 11777, 11766])).
% 24.66/16.41 tff(11779,plain,((~v121(constB49)) | (~v90(constB52, bitIndex0)) | (~v90(constB51, bitIndex0)) | (~v90(constB52, bitIndex2)) | (~v100(constB50))), inference(lemma,lemma(discharge,[]))).
% 24.66/16.41 tff(11780,plain,
% 24.66/16.41 (~v121(constB49)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11779, 11749, 11738, 11669, 11659])).
% 24.66/16.41 tff(11781,plain,
% 24.66/16.41 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB49)) | v90(constB49, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB49)) | v90(constB49, bitIndex0))),
% 24.66/16.41 inference(rewrite,[status(thm)],[])).
% 24.66/16.41 tff(11782,plain,
% 24.66/16.41 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB49)) | v90(constB49, bitIndex0))),
% 24.66/16.41 inference(quant_inst,[status(thm)],[])).
% 24.66/16.41 tff(11783,plain,
% 24.66/16.41 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB49)) | v90(constB49, bitIndex0)),
% 24.66/16.41 inference(modus_ponens,[status(thm)],[11782, 11781])).
% 24.66/16.41 tff(11784,plain,
% 24.66/16.41 (~v124(constB49)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11783, 3174, 11748])).
% 24.66/16.41 tff(11785,plain,
% 24.66/16.41 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB50, bitIndex0)) | v129(constB50, bitIndex0) | (~v100(constB50)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | v129(constB50, bitIndex0) | (~v100(constB50)))),
% 24.66/16.41 inference(rewrite,[status(thm)],[])).
% 24.66/16.41 tff(11786,plain,
% 24.66/16.41 (((~v90(constB50, bitIndex0)) | (~v100(constB50)) | v129(constB50, bitIndex0)) <=> ((~v90(constB50, bitIndex0)) | v129(constB50, bitIndex0) | (~v100(constB50)))),
% 24.66/16.41 inference(rewrite,[status(thm)],[])).
% 24.66/16.41 tff(11787,plain,
% 24.66/16.41 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB50, bitIndex0)) | (~v100(constB50)) | v129(constB50, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB50, bitIndex0)) | v129(constB50, bitIndex0) | (~v100(constB50))))),
% 24.66/16.41 inference(monotonicity,[status(thm)],[11786])).
% 24.66/16.41 tff(11788,plain,
% 24.66/16.41 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB50, bitIndex0)) | (~v100(constB50)) | v129(constB50, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | v129(constB50, bitIndex0) | (~v100(constB50)))),
% 24.66/16.41 inference(transitivity,[status(thm)],[11787, 11785])).
% 24.66/16.41 tff(11789,plain,
% 24.66/16.41 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB50, bitIndex0)) | (~v100(constB50)) | v129(constB50, bitIndex0))),
% 24.66/16.41 inference(quant_inst,[status(thm)],[])).
% 24.66/16.41 tff(11790,plain,
% 24.66/16.41 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | v129(constB50, bitIndex0) | (~v100(constB50))),
% 24.66/16.41 inference(modus_ponens,[status(thm)],[11789, 11788])).
% 24.66/16.41 tff(11791,plain,
% 24.66/16.41 (v129(constB50, bitIndex0) | (~v100(constB50))),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11790, 1374, 11747])).
% 24.66/16.41 tff(11792,plain,
% 24.66/16.41 (v129(constB50, bitIndex0)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11791, 11749])).
% 24.66/16.41 tff(11793,plain,
% 24.66/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex0) | (~v129(constB50, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex0) | (~v129(constB50, bitIndex0)))),
% 24.66/16.41 inference(rewrite,[status(thm)],[])).
% 24.66/16.41 tff(11794,plain,
% 24.66/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex0) | (~v129(constB50, bitIndex0)))),
% 24.66/16.41 inference(quant_inst,[status(thm)],[])).
% 24.66/16.41 tff(11795,plain,
% 24.66/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex0) | (~v129(constB50, bitIndex0))),
% 24.66/16.41 inference(modus_ponens,[status(thm)],[11794, 11793])).
% 24.66/16.41 tff(11796,plain,
% 24.66/16.41 (v127(constB49, bitIndex0) | (~v129(constB50, bitIndex0))),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11795, 1359, 8538])).
% 24.66/16.41 tff(11797,plain,
% 24.66/16.41 (v127(constB49, bitIndex0)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11796, 11792])).
% 24.66/16.41 tff(11798,plain,
% 24.66/16.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB49, bitIndex0)) | v26(constB49) | v130(constB49, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB49, bitIndex0)) | v26(constB49) | v130(constB49, bitIndex0))),
% 24.66/16.41 inference(rewrite,[status(thm)],[])).
% 24.66/16.41 tff(11799,plain,
% 24.66/16.41 ((v26(constB49) | v130(constB49, bitIndex0) | (~v127(constB49, bitIndex0))) <=> ((~v127(constB49, bitIndex0)) | v26(constB49) | v130(constB49, bitIndex0))),
% 24.66/16.41 inference(rewrite,[status(thm)],[])).
% 24.66/16.41 tff(11800,plain,
% 24.66/16.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB49) | v130(constB49, bitIndex0) | (~v127(constB49, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB49, bitIndex0)) | v26(constB49) | v130(constB49, bitIndex0)))),
% 24.66/16.41 inference(monotonicity,[status(thm)],[11799])).
% 24.66/16.41 tff(11801,plain,
% 24.66/16.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB49) | v130(constB49, bitIndex0) | (~v127(constB49, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB49, bitIndex0)) | v26(constB49) | v130(constB49, bitIndex0))),
% 24.66/16.41 inference(transitivity,[status(thm)],[11800, 11798])).
% 24.66/16.41 tff(11802,plain,
% 24.66/16.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB49) | v130(constB49, bitIndex0) | (~v127(constB49, bitIndex0)))),
% 24.66/16.41 inference(quant_inst,[status(thm)],[])).
% 24.66/16.41 tff(11803,plain,
% 24.66/16.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB49, bitIndex0)) | v26(constB49) | v130(constB49, bitIndex0)),
% 24.66/16.41 inference(modus_ponens,[status(thm)],[11802, 11801])).
% 24.66/16.41 tff(11804,plain,
% 24.66/16.41 ((~v127(constB49, bitIndex0)) | v130(constB49, bitIndex0)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11803, 1341, 8530])).
% 24.66/16.41 tff(11805,plain,
% 24.66/16.41 (v130(constB49, bitIndex0)),
% 24.66/16.41 inference(unit_resolution,[status(thm)],[11804, 11797])).
% 24.66/16.41 tff(11806,plain,
% 24.66/16.41 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB49)) | (~v130(constB49, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB49)) | (~v130(constB49, bitIndex0)))),
% 24.66/16.41 inference(rewrite,[status(thm)],[])).
% 24.66/16.41 tff(11807,plain,
% 24.66/16.41 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB49)) | (~v130(constB49, bitIndex0)))),
% 24.66/16.42 inference(quant_inst,[status(thm)],[])).
% 24.66/16.42 tff(11808,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB49)) | (~v130(constB49, bitIndex0))),
% 24.66/16.42 inference(modus_ponens,[status(thm)],[11807, 11806])).
% 24.66/16.42 tff(11809,plain,
% 24.66/16.42 (~v120(constB49)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11808, 2023, 11805])).
% 24.66/16.42 tff(11810,plain,
% 24.66/16.42 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB49)) | (~v130(constB49, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB49)) | (~v130(constB49, bitIndex0)))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11811,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB49)) | (~v130(constB49, bitIndex0)))),
% 24.66/16.42 inference(quant_inst,[status(thm)],[])).
% 24.66/16.42 tff(11812,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB49)) | (~v130(constB49, bitIndex0))),
% 24.66/16.42 inference(modus_ponens,[status(thm)],[11811, 11810])).
% 24.66/16.42 tff(11813,plain,
% 24.66/16.42 (~v119(constB49)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11812, 1327, 11805])).
% 24.66/16.42 tff(11814,plain,
% 24.66/16.42 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB49)) | (~v130(constB49, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB49)) | (~v130(constB49, bitIndex0)))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11815,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB49)) | (~v130(constB49, bitIndex0)))),
% 24.66/16.42 inference(quant_inst,[status(thm)],[])).
% 24.66/16.42 tff(11816,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB49)) | (~v130(constB49, bitIndex0))),
% 24.66/16.42 inference(modus_ponens,[status(thm)],[11815, 11814])).
% 24.66/16.42 tff(11817,plain,
% 24.66/16.42 (~v122(constB49)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11816, 2833, 11805])).
% 24.66/16.42 tff(11818,plain,
% 24.66/16.42 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB49)) | (~v130(constB49, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB49)) | (~v130(constB49, bitIndex0)))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11819,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB49)) | (~v130(constB49, bitIndex0)))),
% 24.66/16.42 inference(quant_inst,[status(thm)],[])).
% 24.66/16.42 tff(11820,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB49)) | (~v130(constB49, bitIndex0))),
% 24.66/16.42 inference(modus_ponens,[status(thm)],[11819, 11818])).
% 24.66/16.42 tff(11821,plain,
% 24.66/16.42 (~v123(constB49)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11820, 1617, 11805])).
% 24.66/16.42 tff(11822,plain,
% 24.66/16.42 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1)))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11823,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1)))),
% 24.66/16.42 inference(quant_inst,[status(thm)],[])).
% 24.66/16.42 tff(11824,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1))),
% 24.66/16.42 inference(modus_ponens,[status(thm)],[11823, 11822])).
% 24.66/16.42 tff(11825,plain,
% 24.66/16.42 (v121(constB49) | (~v130(constB49, bitIndex1))),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11824, 1887, 11821, 11817, 11813, 11809, 11784])).
% 24.66/16.42 tff(11826,plain,
% 24.66/16.42 (~v130(constB49, bitIndex1)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11825, 11780])).
% 24.66/16.42 tff(11827,plain,
% 24.66/16.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11828,plain,
% 24.66/16.42 ((v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1))) <=> ((~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11829,plain,
% 24.66/16.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1)))),
% 24.66/16.42 inference(monotonicity,[status(thm)],[11828])).
% 24.66/16.42 tff(11830,plain,
% 24.66/16.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))),
% 24.66/16.42 inference(transitivity,[status(thm)],[11829, 11827])).
% 24.66/16.42 tff(11831,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1)))),
% 24.66/16.42 inference(quant_inst,[status(thm)],[])).
% 24.66/16.42 tff(11832,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1)),
% 24.66/16.42 inference(modus_ponens,[status(thm)],[11831, 11830])).
% 24.66/16.42 tff(11833,plain,
% 24.66/16.42 ((~v127(constB49, bitIndex1)) | v130(constB49, bitIndex1)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11832, 1270, 8530])).
% 24.66/16.42 tff(11834,plain,
% 24.66/16.42 (~v127(constB49, bitIndex1)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11833, 11826])).
% 24.66/16.42 tff(11835,plain,
% 24.66/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1)))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11836,plain,
% 24.66/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1)))),
% 24.66/16.42 inference(quant_inst,[status(thm)],[])).
% 24.66/16.42 tff(11837,plain,
% 24.66/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1))),
% 24.66/16.42 inference(modus_ponens,[status(thm)],[11836, 11835])).
% 24.66/16.42 tff(11838,plain,
% 24.66/16.42 (v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1))),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11837, 1288, 8538])).
% 24.66/16.42 tff(11839,plain,
% 24.66/16.42 (~v129(constB50, bitIndex1)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11838, 11834])).
% 24.66/16.42 tff(11840,plain,
% 24.66/16.42 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50)))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11841,plain,
% 24.66/16.42 (((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1)) <=> ((~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50)))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11842,plain,
% 24.66/16.42 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50))))),
% 24.66/16.42 inference(monotonicity,[status(thm)],[11841])).
% 24.66/16.42 tff(11843,plain,
% 24.66/16.42 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50)))),
% 24.66/16.42 inference(transitivity,[status(thm)],[11842, 11840])).
% 24.66/16.42 tff(11844,plain,
% 24.66/16.42 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1))),
% 24.66/16.42 inference(quant_inst,[status(thm)],[])).
% 24.66/16.42 tff(11845,plain,
% 24.66/16.42 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50))),
% 24.66/16.42 inference(modus_ponens,[status(thm)],[11844, 11843])).
% 24.66/16.42 tff(11846,plain,
% 24.66/16.42 ((~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11845, 1303, 11749])).
% 24.66/16.42 tff(11847,plain,
% 24.66/16.42 (~v90(constB50, bitIndex1)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11846, 11839])).
% 24.66/16.42 tff(11848,plain,
% 24.66/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1)))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11849,plain,
% 24.66/16.42 (((~nextState(constB50, constB51)) | v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1))) <=> (v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1)))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11850,plain,
% 24.66/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1))))),
% 24.66/16.42 inference(monotonicity,[status(thm)],[11849])).
% 24.66/16.42 tff(11851,plain,
% 24.66/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1)))),
% 24.66/16.42 inference(transitivity,[status(thm)],[11850, 11848])).
% 24.66/16.42 tff(11852,plain,
% 24.66/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1)))),
% 24.66/16.42 inference(quant_inst,[status(thm)],[])).
% 24.66/16.42 tff(11853,plain,
% 24.66/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1))),
% 24.66/16.42 inference(modus_ponens,[status(thm)],[11852, 11851])).
% 24.66/16.42 tff(11854,plain,
% 24.66/16.42 (v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1))),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11853, 913, 8709])).
% 24.66/16.42 tff(11855,plain,
% 24.66/16.42 (v90(constB50, bitIndex1) | (~v90(constB51, bitIndex1))),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11854, 8721])).
% 24.66/16.42 tff(11856,plain,
% 24.66/16.42 (~v90(constB51, bitIndex1)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11855, 11847])).
% 24.66/16.42 tff(11857,plain,
% 24.66/16.42 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex2)))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11858,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex2)))),
% 24.66/16.42 inference(quant_inst,[status(thm)],[])).
% 24.66/16.42 tff(11859,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex2))),
% 24.66/16.42 inference(modus_ponens,[status(thm)],[11858, 11857])).
% 24.66/16.42 tff(11860,plain,
% 24.66/16.42 (v121(constB49) | (~v130(constB49, bitIndex2))),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11859, 1798, 11821, 11817, 11813, 11809, 11784])).
% 24.66/16.42 tff(11861,plain,
% 24.66/16.42 (~v130(constB49, bitIndex2)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11860, 11780])).
% 24.66/16.42 tff(11862,plain,
% 24.66/16.42 (~v127(constB49, bitIndex2)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[8789, 11861])).
% 24.66/16.42 tff(11863,plain,
% 24.66/16.42 (~v129(constB50, bitIndex2)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[8794, 11862])).
% 24.66/16.42 tff(11864,plain,
% 24.66/16.42 ((~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[8798, 1845, 11749])).
% 24.66/16.42 tff(11865,plain,
% 24.66/16.42 (~v90(constB50, bitIndex2)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11864, 11863])).
% 24.66/16.42 tff(11866,plain,
% 24.66/16.42 (~v90(constB51, bitIndex2)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[8808, 11865])).
% 24.66/16.42 tff(11867,plain,
% 24.66/16.42 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11868,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51))),
% 24.66/16.42 inference(quant_inst,[status(thm)],[])).
% 24.66/16.42 tff(11869,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51)),
% 24.66/16.42 inference(modus_ponens,[status(thm)],[11868, 11867])).
% 24.66/16.42 tff(11870,plain,
% 24.66/16.42 (v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11869, 2012, 11738])).
% 24.66/16.42 tff(11871,plain,
% 24.66/16.42 (v120(constB51)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11870, 11866, 11856])).
% 24.66/16.42 tff(11872,plain,
% 24.66/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB51, bitIndex1) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB51, bitIndex1) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex1)))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11873,plain,
% 24.66/16.42 (((~nextState(constB51, constB52)) | v90(constB51, bitIndex1) | v100(constB52) | (~v90(constB52, bitIndex1))) <=> (v90(constB51, bitIndex1) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex1)))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11874,plain,
% 24.66/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB51, constB52)) | v90(constB51, bitIndex1) | v100(constB52) | (~v90(constB52, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB51, bitIndex1) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex1))))),
% 24.66/16.42 inference(monotonicity,[status(thm)],[11873])).
% 24.66/16.42 tff(11875,plain,
% 24.66/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB51, constB52)) | v90(constB51, bitIndex1) | v100(constB52) | (~v90(constB52, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB51, bitIndex1) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex1)))),
% 24.66/16.42 inference(transitivity,[status(thm)],[11874, 11872])).
% 24.66/16.42 tff(11876,plain,
% 24.66/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB51, constB52)) | v90(constB51, bitIndex1) | v100(constB52) | (~v90(constB52, bitIndex1)))),
% 24.66/16.42 inference(quant_inst,[status(thm)],[])).
% 24.66/16.42 tff(11877,plain,
% 24.66/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB51, bitIndex1) | (~nextState(constB51, constB52)) | v100(constB52) | (~v90(constB52, bitIndex1))),
% 24.66/16.42 inference(modus_ponens,[status(thm)],[11876, 11875])).
% 24.66/16.42 tff(11878,plain,
% 24.66/16.42 (v90(constB51, bitIndex1) | v100(constB52) | (~v90(constB52, bitIndex1))),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11877, 913, 8862])).
% 24.66/16.42 tff(11879,plain,
% 24.66/16.42 (v100(constB52)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11878, 11856, 11670])).
% 24.66/16.42 tff(11880,plain,
% 24.66/16.42 (v129(constB52, bitIndex0)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11680, 11879])).
% 24.66/16.42 tff(11881,plain,
% 24.66/16.42 (v127(constB51, bitIndex0)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[8961, 11880])).
% 24.66/16.42 tff(11882,plain,
% 24.66/16.42 (v130(constB51, bitIndex0)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[8956, 11881])).
% 24.66/16.42 tff(11883,plain,
% 24.66/16.42 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB51)) | (~v130(constB51, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB51)) | (~v130(constB51, bitIndex0)))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11884,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB51)) | (~v130(constB51, bitIndex0)))),
% 24.66/16.42 inference(quant_inst,[status(thm)],[])).
% 24.66/16.42 tff(11885,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB51)) | (~v130(constB51, bitIndex0))),
% 24.66/16.42 inference(modus_ponens,[status(thm)],[11884, 11883])).
% 24.66/16.42 tff(11886,plain,
% 24.66/16.42 ($false),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11885, 2023, 11882, 11871])).
% 24.66/16.42 tff(11887,plain,(v90(constB49, bitIndex0) | (~v90(constB52, bitIndex0)) | (~v90(constB52, bitIndex1)) | (~v90(constB52, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 24.66/16.42 tff(11888,plain,
% 24.66/16.42 (v90(constB49, bitIndex0)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11887, 11668, 11659, 11658])).
% 24.66/16.42 tff(11889,plain,
% 24.66/16.42 (v90(constB48, bitIndex0)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[8516, 11888])).
% 24.66/16.42 tff(11890,assumption,(v100(constB52)), introduced(assumption)).
% 24.66/16.42 tff(11891,plain,
% 24.66/16.42 (v129(constB52, bitIndex0)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11680, 11890])).
% 24.66/16.42 tff(11892,plain,
% 24.66/16.42 (v127(constB51, bitIndex0)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[8961, 11891])).
% 24.66/16.42 tff(11893,plain,
% 24.66/16.42 (v130(constB51, bitIndex0)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[8956, 11892])).
% 24.66/16.42 tff(11894,plain,
% 24.66/16.42 (~v120(constB51)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11885, 2023, 11893])).
% 24.66/16.42 tff(11895,plain,
% 24.66/16.42 (v129(constB52, bitIndex1)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11708, 11890])).
% 24.66/16.42 tff(11896,plain,
% 24.66/16.42 (v127(constB51, bitIndex1)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[8995, 11895])).
% 24.66/16.42 tff(11897,plain,
% 24.66/16.42 (v130(constB51, bitIndex1)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[8990, 11896])).
% 24.66/16.42 tff(11898,plain,
% 24.66/16.42 (~v122(constB51)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[8948, 2833, 11893])).
% 24.66/16.42 tff(11899,plain,
% 24.66/16.42 (v129(constB52, bitIndex2)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11719, 11890])).
% 24.66/16.42 tff(11900,plain,
% 24.66/16.42 (v127(constB51, bitIndex2)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11724, 11899])).
% 24.66/16.42 tff(11901,plain,
% 24.66/16.42 ((~v127(constB51, bitIndex2)) | v130(constB51, bitIndex2)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11731, 1812, 8844])).
% 24.66/16.42 tff(11902,plain,
% 24.66/16.42 (v130(constB51, bitIndex2)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11901, 11900])).
% 24.66/16.42 tff(11903,plain,
% 24.66/16.42 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB51)) | (~v130(constB51, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB51)) | (~v130(constB51, bitIndex2)))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11904,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB51)) | (~v130(constB51, bitIndex2)))),
% 24.66/16.42 inference(quant_inst,[status(thm)],[])).
% 24.66/16.42 tff(11905,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB51)) | (~v130(constB51, bitIndex2))),
% 24.66/16.42 inference(modus_ponens,[status(thm)],[11904, 11903])).
% 24.66/16.42 tff(11906,plain,
% 24.66/16.42 (~v124(constB51)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11905, 4807, 11902])).
% 24.66/16.42 tff(11907,plain,
% 24.66/16.42 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0))))),
% 24.66/16.42 inference(bind,[status(th)],[])).
% 24.66/16.42 tff(11908,plain,
% 24.66/16.42 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 24.66/16.42 inference(quant_intro,[status(thm)],[11907])).
% 24.66/16.42 tff(11909,plain,
% 24.66/16.42 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11910,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_4')).
% 24.66/16.42 tff(11911,plain,
% 24.66/16.42 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 24.66/16.42 inference(modus_ponens,[status(thm)],[11910, 11909])).
% 24.66/16.42 tff(11912,plain,(
% 24.66/16.42 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 24.66/16.42 inference(skolemize,[status(sab)],[11911])).
% 24.66/16.42 tff(11913,plain,
% 24.66/16.42 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 24.66/16.42 inference(modus_ponens,[status(thm)],[11912, 11908])).
% 24.66/16.42 tff(11914,plain,
% 24.66/16.42 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB51)) | (~v90(constB51, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB51)) | (~v90(constB51, bitIndex0)))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11915,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB51)) | (~v90(constB51, bitIndex0)))),
% 24.66/16.42 inference(quant_inst,[status(thm)],[])).
% 24.66/16.42 tff(11916,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB51)) | (~v90(constB51, bitIndex0))),
% 24.66/16.42 inference(modus_ponens,[status(thm)],[11915, 11914])).
% 24.66/16.42 tff(11917,plain,
% 24.66/16.42 (~v119(constB51)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11916, 11913, 11738])).
% 24.66/16.42 tff(11918,plain,
% 24.66/16.42 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0))) <=> ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0))))),
% 24.66/16.42 inference(bind,[status(th)],[])).
% 24.66/16.42 tff(11919,plain,
% 24.66/16.42 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 24.66/16.42 inference(quant_intro,[status(thm)],[11918])).
% 24.66/16.42 tff(11920,plain,
% 24.66/16.42 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11921,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_4')).
% 24.66/16.42 tff(11922,plain,
% 24.66/16.42 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 24.66/16.42 inference(modus_ponens,[status(thm)],[11921, 11920])).
% 24.66/16.42 tff(11923,plain,(
% 24.66/16.42 ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 24.66/16.42 inference(skolemize,[status(sab)],[11922])).
% 24.66/16.42 tff(11924,plain,
% 24.66/16.42 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 24.66/16.42 inference(modus_ponens,[status(thm)],[11923, 11919])).
% 24.66/16.42 tff(11925,plain,
% 24.66/16.42 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB51)) | (~v90(constB51, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB51)) | (~v90(constB51, bitIndex0)))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11926,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB51)) | (~v90(constB51, bitIndex0)))),
% 24.66/16.42 inference(quant_inst,[status(thm)],[])).
% 24.66/16.42 tff(11927,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB51)) | (~v90(constB51, bitIndex0))),
% 24.66/16.42 inference(modus_ponens,[status(thm)],[11926, 11925])).
% 24.66/16.42 tff(11928,plain,
% 24.66/16.42 (~v121(constB51)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11927, 11924, 11738])).
% 24.66/16.42 tff(11929,plain,
% 24.66/16.42 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0))) <=> ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0))))),
% 24.66/16.42 inference(bind,[status(th)],[])).
% 24.66/16.42 tff(11930,plain,
% 24.66/16.42 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 24.66/16.42 inference(quant_intro,[status(thm)],[11929])).
% 24.66/16.42 tff(11931,plain,
% 24.66/16.42 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11932,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_4')).
% 24.66/16.42 tff(11933,plain,
% 24.66/16.42 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 24.66/16.42 inference(modus_ponens,[status(thm)],[11932, 11931])).
% 24.66/16.42 tff(11934,plain,(
% 24.66/16.42 ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 24.66/16.42 inference(skolemize,[status(sab)],[11933])).
% 24.66/16.42 tff(11935,plain,
% 24.66/16.42 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 24.66/16.42 inference(modus_ponens,[status(thm)],[11934, 11930])).
% 24.66/16.42 tff(11936,plain,
% 24.66/16.42 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v123(constB51)) | (~v90(constB51, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v123(constB51)) | (~v90(constB51, bitIndex0)))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11937,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v123(constB51)) | (~v90(constB51, bitIndex0)))),
% 24.66/16.42 inference(quant_inst,[status(thm)],[])).
% 24.66/16.42 tff(11938,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v123(constB51)) | (~v90(constB51, bitIndex0))),
% 24.66/16.42 inference(modus_ponens,[status(thm)],[11937, 11936])).
% 24.66/16.42 tff(11939,plain,
% 24.66/16.42 (~v123(constB51)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11938, 11935, 11738])).
% 24.66/16.42 tff(11940,plain,
% 24.66/16.42 (v120(constB51) | v122(constB51) | v124(constB51) | (~v130(constB51, bitIndex1))),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11714, 1887, 11939, 11928, 11917])).
% 24.66/16.42 tff(11941,plain,
% 24.66/16.42 ($false),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11940, 11906, 11898, 11897, 11894])).
% 24.66/16.42 tff(11942,plain,((~v100(constB52)) | (~v90(constB52, bitIndex2)) | (~v90(constB52, bitIndex1)) | (~v90(constB52, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 24.66/16.42 tff(11943,plain,
% 24.66/16.42 (~v100(constB52)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11942, 11658, 11668, 11659])).
% 24.66/16.42 tff(11944,plain,
% 24.66/16.42 (v90(constB51, bitIndex1)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11878, 11943, 11668])).
% 24.66/16.42 tff(11945,plain,
% 24.66/16.42 (v90(constB50, bitIndex1)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11855, 11944])).
% 24.66/16.42 tff(11946,plain,
% 24.66/16.42 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v123(constB49)) | (~v90(constB49, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v123(constB49)) | (~v90(constB49, bitIndex0)))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11947,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v123(constB49)) | (~v90(constB49, bitIndex0)))),
% 24.66/16.42 inference(quant_inst,[status(thm)],[])).
% 24.66/16.42 tff(11948,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v123(constB49)) | (~v90(constB49, bitIndex0))),
% 24.66/16.42 inference(modus_ponens,[status(thm)],[11947, 11946])).
% 24.66/16.42 tff(11949,plain,
% 24.66/16.42 (~v123(constB49)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11948, 11935, 11888])).
% 24.66/16.42 tff(11950,plain,
% 24.66/16.42 (v90(constB51, bitIndex0)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11737, 11658, 11659, 11668])).
% 24.66/16.42 tff(11951,plain,
% 24.66/16.42 (v90(constB50, bitIndex0)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11746, 11950])).
% 24.66/16.42 tff(11952,plain,
% 24.66/16.42 (v90(constB51, bitIndex2)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11773, 11943, 11658])).
% 24.66/16.42 tff(11953,plain,
% 24.66/16.42 (v90(constB50, bitIndex2)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[8808, 11952])).
% 24.66/16.42 tff(11954,assumption,(~v127(constB49, bitIndex0)), introduced(assumption)).
% 24.66/16.42 tff(11955,plain,
% 24.66/16.42 (~v129(constB50, bitIndex0)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11796, 11954])).
% 24.66/16.42 tff(11956,assumption,(v90(constB50, bitIndex0)), introduced(assumption)).
% 24.66/16.42 tff(11957,plain,
% 24.66/16.42 (v129(constB50, bitIndex0) | (~v100(constB50))),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11790, 1374, 11956])).
% 24.66/16.42 tff(11958,plain,
% 24.66/16.42 (~v100(constB50)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11957, 11955])).
% 24.66/16.42 tff(11959,plain,
% 24.66/16.42 (~v110(constB50)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[8575, 11958])).
% 24.66/16.42 tff(11960,plain,
% 24.66/16.42 (~v108(constB49)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[8583, 11959])).
% 24.66/16.42 tff(11961,plain,
% 24.66/16.42 (~v26(constB49)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[8597, 2441, 11960])).
% 24.66/16.42 tff(11962,plain,
% 24.66/16.42 (v26(constB49) | (~v130(constB49, bitIndex0))),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[8533, 1945, 11954])).
% 24.66/16.42 tff(11963,plain,
% 24.66/16.42 (~v130(constB49, bitIndex0)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11962, 11961])).
% 24.66/16.42 tff(11964,assumption,(v90(constB50, bitIndex2)), introduced(assumption)).
% 24.66/16.42 tff(11965,plain,
% 24.66/16.42 (v90(constB49, bitIndex2)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[8700, 11958, 11964])).
% 24.66/16.42 tff(11966,plain,
% 24.66/16.42 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB49)) | (~v90(constB49, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB49)) | (~v90(constB49, bitIndex2)))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11967,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB49)) | (~v90(constB49, bitIndex2)))),
% 24.66/16.42 inference(quant_inst,[status(thm)],[])).
% 24.66/16.42 tff(11968,plain,
% 24.66/16.42 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB49)) | (~v90(constB49, bitIndex2))),
% 24.66/16.42 inference(modus_ponens,[status(thm)],[11967, 11966])).
% 24.66/16.42 tff(11969,plain,
% 24.66/16.42 (~v122(constB49)),
% 24.66/16.42 inference(unit_resolution,[status(thm)],[11968, 1740, 11965])).
% 24.66/16.42 tff(11970,assumption,(v90(constB50, bitIndex1)), introduced(assumption)).
% 24.66/16.42 tff(11971,plain,
% 24.66/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB49, bitIndex1) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB49, bitIndex1) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex1)))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11972,plain,
% 24.66/16.42 (((~nextState(constB49, constB50)) | v90(constB49, bitIndex1) | v100(constB50) | (~v90(constB50, bitIndex1))) <=> (v90(constB49, bitIndex1) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex1)))),
% 24.66/16.42 inference(rewrite,[status(thm)],[])).
% 24.66/16.42 tff(11973,plain,
% 24.66/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB49, constB50)) | v90(constB49, bitIndex1) | v100(constB50) | (~v90(constB50, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB49, bitIndex1) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex1))))),
% 24.66/16.42 inference(monotonicity,[status(thm)],[11972])).
% 24.66/16.42 tff(11974,plain,
% 24.66/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB49, constB50)) | v90(constB49, bitIndex1) | v100(constB50) | (~v90(constB50, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB49, bitIndex1) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex1)))),
% 24.66/16.43 inference(transitivity,[status(thm)],[11973, 11971])).
% 24.66/16.43 tff(11975,plain,
% 24.66/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB49, constB50)) | v90(constB49, bitIndex1) | v100(constB50) | (~v90(constB50, bitIndex1)))),
% 24.66/16.43 inference(quant_inst,[status(thm)],[])).
% 24.66/16.43 tff(11976,plain,
% 24.66/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB49, bitIndex1) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, bitIndex1))),
% 24.66/16.43 inference(modus_ponens,[status(thm)],[11975, 11974])).
% 24.66/16.43 tff(11977,plain,
% 24.66/16.43 (v90(constB49, bitIndex1) | v100(constB50) | (~v90(constB50, bitIndex1))),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[11976, 913, 8538])).
% 24.66/16.43 tff(11978,plain,
% 24.66/16.43 (v90(constB49, bitIndex1)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[11977, 11958, 11970])).
% 24.66/16.43 tff(11979,plain,
% 24.66/16.43 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB49)) | (~v90(constB49, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB49)) | (~v90(constB49, bitIndex1)))),
% 24.66/16.43 inference(rewrite,[status(thm)],[])).
% 24.66/16.43 tff(11980,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB49)) | (~v90(constB49, bitIndex1)))),
% 24.66/16.43 inference(quant_inst,[status(thm)],[])).
% 24.66/16.43 tff(11981,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB49)) | (~v90(constB49, bitIndex1))),
% 24.66/16.43 inference(modus_ponens,[status(thm)],[11980, 11979])).
% 24.66/16.43 tff(11982,plain,
% 24.66/16.43 (~v120(constB49)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[11981, 1762, 11978])).
% 24.66/16.43 tff(11983,plain,
% 24.66/16.43 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB49)) | (~v90(constB49, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB49)) | (~v90(constB49, bitIndex1)))),
% 24.66/16.43 inference(rewrite,[status(thm)],[])).
% 24.66/16.43 tff(11984,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB49)) | (~v90(constB49, bitIndex1)))),
% 24.66/16.43 inference(quant_inst,[status(thm)],[])).
% 24.66/16.43 tff(11985,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB49)) | (~v90(constB49, bitIndex1))),
% 24.66/16.43 inference(modus_ponens,[status(thm)],[11984, 11983])).
% 24.66/16.43 tff(11986,plain,
% 24.66/16.43 (~v124(constB49)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[11985, 1784, 11978])).
% 24.66/16.43 tff(11987,plain,
% 24.66/16.43 (v90(constB49, bitIndex0)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[8760, 11958, 11956])).
% 24.66/16.43 tff(11988,plain,
% 24.66/16.43 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB49)) | (~v90(constB49, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB49)) | (~v90(constB49, bitIndex0)))),
% 24.66/16.43 inference(rewrite,[status(thm)],[])).
% 24.66/16.43 tff(11989,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB49)) | (~v90(constB49, bitIndex0)))),
% 24.66/16.43 inference(quant_inst,[status(thm)],[])).
% 24.66/16.43 tff(11990,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB49)) | (~v90(constB49, bitIndex0))),
% 24.66/16.43 inference(modus_ponens,[status(thm)],[11989, 11988])).
% 24.66/16.43 tff(11991,plain,
% 24.66/16.43 (~v119(constB49)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[11990, 11913, 11987])).
% 24.66/16.43 tff(11992,plain,
% 24.66/16.43 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB49)) | (~v90(constB49, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB49)) | (~v90(constB49, bitIndex0)))),
% 24.66/16.43 inference(rewrite,[status(thm)],[])).
% 24.66/16.43 tff(11993,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB49)) | (~v90(constB49, bitIndex0)))),
% 24.66/16.43 inference(quant_inst,[status(thm)],[])).
% 24.66/16.43 tff(11994,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB49)) | (~v90(constB49, bitIndex0))),
% 24.66/16.43 inference(modus_ponens,[status(thm)],[11993, 11992])).
% 24.66/16.43 tff(11995,plain,
% 24.66/16.43 (~v121(constB49)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[11994, 11924, 11987])).
% 24.66/16.43 tff(11996,plain,
% 24.66/16.43 (~v123(constB49)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[11948, 11935, 11987])).
% 24.66/16.43 tff(11997,plain,
% 24.66/16.43 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, bitIndex0))),
% 24.66/16.43 inference(rewrite,[status(thm)],[])).
% 24.66/16.43 tff(11998,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, bitIndex0))),
% 24.66/16.43 inference(quant_inst,[status(thm)],[])).
% 24.66/16.43 tff(11999,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, bitIndex0)),
% 24.66/16.43 inference(modus_ponens,[status(thm)],[11998, 11997])).
% 24.66/16.43 tff(12000,plain,
% 24.66/16.43 ($false),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[11999, 1931, 11996, 11995, 11991, 11986, 11982, 11969, 11963])).
% 24.66/16.43 tff(12001,plain,(v127(constB49, bitIndex0) | (~v90(constB50, bitIndex2)) | (~v90(constB50, bitIndex1)) | (~v90(constB50, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 24.66/16.43 tff(12002,plain,
% 24.66/16.43 (v127(constB49, bitIndex0)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12001, 11953, 11951, 11945])).
% 24.66/16.43 tff(12003,plain,
% 24.66/16.43 (v130(constB49, bitIndex0)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[11804, 12002])).
% 24.66/16.43 tff(12004,plain,
% 24.66/16.43 (~v122(constB49)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[11816, 2833, 12003])).
% 24.66/16.43 tff(12005,plain,
% 24.66/16.43 (~v119(constB49)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[11990, 11913, 11888])).
% 24.66/16.43 tff(12006,plain,
% 24.66/16.43 (~v120(constB49)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[11808, 2023, 12003])).
% 24.66/16.43 tff(12007,plain,
% 24.66/16.43 (v129(constB50, bitIndex1) | (~v100(constB50))),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[11845, 1303, 11970])).
% 24.66/16.43 tff(12008,plain,
% 24.66/16.43 (v129(constB50, bitIndex1)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12007, 11754])).
% 24.66/16.43 tff(12009,plain,
% 24.66/16.43 (v127(constB49, bitIndex1)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[11838, 12008])).
% 24.66/16.43 tff(12010,assumption,(~v26(constB49)), introduced(assumption)).
% 24.66/16.43 tff(12011,plain,
% 24.66/16.43 ((~v127(constB49, bitIndex1)) | v130(constB49, bitIndex1)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[11832, 1270, 12010])).
% 24.66/16.43 tff(12012,plain,
% 24.66/16.43 (v130(constB49, bitIndex1)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12011, 12009])).
% 24.66/16.43 tff(12013,plain,
% 24.66/16.43 (v129(constB50, bitIndex2) | (~v100(constB50))),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[8798, 1845, 11964])).
% 24.66/16.43 tff(12014,plain,
% 24.66/16.43 (v129(constB50, bitIndex2)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12013, 11754])).
% 24.66/16.43 tff(12015,plain,
% 24.66/16.43 (v127(constB49, bitIndex2)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[8794, 12014])).
% 24.66/16.43 tff(12016,plain,
% 24.66/16.43 ((~v127(constB49, bitIndex2)) | v130(constB49, bitIndex2)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[8788, 1812, 12010])).
% 24.66/16.43 tff(12017,plain,
% 24.66/16.43 (v130(constB49, bitIndex2)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12016, 12015])).
% 24.66/16.43 tff(12018,plain,
% 24.66/16.43 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB49)) | (~v130(constB49, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB49)) | (~v130(constB49, bitIndex2)))),
% 24.66/16.43 inference(rewrite,[status(thm)],[])).
% 24.66/16.43 tff(12019,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB49)) | (~v130(constB49, bitIndex2)))),
% 24.66/16.43 inference(quant_inst,[status(thm)],[])).
% 24.66/16.43 tff(12020,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB49)) | (~v130(constB49, bitIndex2))),
% 24.66/16.43 inference(modus_ponens,[status(thm)],[12019, 12018])).
% 24.66/16.43 tff(12021,plain,
% 24.66/16.43 (~v124(constB49)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12020, 4807, 12017])).
% 24.66/16.43 tff(12022,plain,
% 24.66/16.43 (~v121(constB49)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[8781, 2406, 12017])).
% 24.66/16.43 tff(12023,assumption,(~v122(constB49)), introduced(assumption)).
% 24.66/16.43 tff(12024,assumption,(~v123(constB49)), introduced(assumption)).
% 24.66/16.43 tff(12025,plain,
% 24.66/16.43 (v121(constB49) | v124(constB49) | (~v130(constB49, bitIndex1))),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[11824, 1887, 12024, 12023, 8662, 8664])).
% 24.66/16.43 tff(12026,plain,
% 24.66/16.43 ($false),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12025, 12022, 12021, 12012])).
% 24.66/16.43 tff(12027,plain,((~v100(constB50)) | v123(constB49) | v122(constB49) | v119(constB49) | v120(constB49) | v26(constB49) | (~v90(constB50, bitIndex2)) | (~v90(constB50, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 24.66/16.43 tff(12028,plain,
% 24.66/16.43 ((~v100(constB50)) | v123(constB49) | v122(constB49) | v119(constB49) | v120(constB49) | (~v90(constB50, bitIndex2)) | (~v90(constB50, bitIndex1))),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12027, 8530])).
% 24.66/16.43 tff(12029,plain,
% 24.66/16.43 (~v100(constB50)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12028, 12006, 11945, 11953, 12005, 12004, 11949])).
% 24.66/16.43 tff(12030,plain,
% 24.66/16.43 (v90(constB49, bitIndex1)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[11977, 12029, 11945])).
% 24.66/16.43 tff(12031,plain,
% 24.66/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex1)))),
% 24.66/16.43 inference(rewrite,[status(thm)],[])).
% 24.66/16.43 tff(12032,plain,
% 24.66/16.43 (((~nextState(constB48, constB49)) | v90(constB48, bitIndex1) | v100(constB49) | (~v90(constB49, bitIndex1))) <=> (v90(constB48, bitIndex1) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex1)))),
% 24.66/16.43 inference(rewrite,[status(thm)],[])).
% 24.66/16.43 tff(12033,plain,
% 24.66/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex1) | v100(constB49) | (~v90(constB49, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex1))))),
% 24.66/16.43 inference(monotonicity,[status(thm)],[12032])).
% 24.66/16.43 tff(12034,plain,
% 24.66/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex1) | v100(constB49) | (~v90(constB49, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex1)))),
% 24.66/16.43 inference(transitivity,[status(thm)],[12033, 12031])).
% 24.66/16.43 tff(12035,plain,
% 24.66/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex1) | v100(constB49) | (~v90(constB49, bitIndex1)))),
% 24.66/16.43 inference(quant_inst,[status(thm)],[])).
% 24.66/16.43 tff(12036,plain,
% 24.66/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex1))),
% 24.66/16.43 inference(modus_ponens,[status(thm)],[12035, 12034])).
% 24.66/16.43 tff(12037,plain,
% 24.66/16.43 (v90(constB48, bitIndex1) | v100(constB49) | (~v90(constB49, bitIndex1))),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12036, 913, 8317])).
% 24.66/16.43 tff(12038,plain,
% 24.66/16.43 (v90(constB48, bitIndex1) | (~v90(constB49, bitIndex1))),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12037, 8329])).
% 24.66/16.43 tff(12039,plain,
% 24.66/16.43 (v90(constB48, bitIndex1)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12038, 12030])).
% 24.66/16.43 tff(12040,plain,
% 24.66/16.43 (v90(constB49, bitIndex2)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[8700, 12029, 11953])).
% 24.66/16.43 tff(12041,plain,
% 24.66/16.43 (v90(constB48, bitIndex2)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[8337, 12040])).
% 24.66/16.43 tff(12042,assumption,(v100(constB48)), introduced(assumption)).
% 24.66/16.43 tff(12043,assumption,(v90(constB48, bitIndex2)), introduced(assumption)).
% 24.66/16.43 tff(12044,plain,
% 24.66/16.43 (v129(constB48, bitIndex2) | (~v100(constB48))),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[8308, 1845, 12043])).
% 24.66/16.43 tff(12045,plain,
% 24.66/16.43 (v129(constB48, bitIndex2)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12044, 12042])).
% 24.66/16.43 tff(12046,plain,
% 24.66/16.43 (v127(constB47, bitIndex2)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[8304, 12045])).
% 24.66/16.43 tff(12047,plain,
% 24.66/16.43 (v130(constB47, bitIndex2)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[8299, 12046])).
% 24.66/16.43 tff(12048,plain,
% 24.66/16.43 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB47)) | (~v130(constB47, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB47)) | (~v130(constB47, bitIndex2)))),
% 24.66/16.43 inference(rewrite,[status(thm)],[])).
% 24.66/16.43 tff(12049,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB47)) | (~v130(constB47, bitIndex2)))),
% 24.66/16.43 inference(quant_inst,[status(thm)],[])).
% 24.66/16.43 tff(12050,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB47)) | (~v130(constB47, bitIndex2))),
% 24.66/16.43 inference(modus_ponens,[status(thm)],[12049, 12048])).
% 24.66/16.43 tff(12051,plain,
% 24.66/16.43 (~v124(constB47)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12050, 4807, 12047])).
% 24.66/16.43 tff(12052,plain,
% 24.66/16.43 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB47)) | (~v130(constB47, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB47)) | (~v130(constB47, bitIndex2)))),
% 24.66/16.43 inference(rewrite,[status(thm)],[])).
% 24.66/16.43 tff(12053,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB47)) | (~v130(constB47, bitIndex2)))),
% 24.66/16.43 inference(quant_inst,[status(thm)],[])).
% 24.66/16.43 tff(12054,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB47)) | (~v130(constB47, bitIndex2))),
% 24.66/16.43 inference(modus_ponens,[status(thm)],[12053, 12052])).
% 24.66/16.43 tff(12055,plain,
% 24.66/16.43 (~v121(constB47)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12054, 2406, 12047])).
% 24.66/16.43 tff(12056,assumption,(v90(constB48, bitIndex0)), introduced(assumption)).
% 24.66/16.43 tff(12057,plain,
% 24.66/16.43 (v129(constB48, bitIndex0) | (~v100(constB48))),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[8286, 1374, 12056])).
% 24.66/16.43 tff(12058,plain,
% 24.66/16.43 (v129(constB48, bitIndex0)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12057, 12042])).
% 24.66/16.43 tff(12059,plain,
% 24.66/16.43 (v127(constB47, bitIndex0)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[8279, 12058])).
% 24.66/16.43 tff(12060,plain,
% 24.66/16.43 (v130(constB47, bitIndex0)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[8274, 12059])).
% 24.66/16.43 tff(12061,plain,
% 24.66/16.43 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB47)) | (~v130(constB47, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB47)) | (~v130(constB47, bitIndex0)))),
% 24.66/16.43 inference(rewrite,[status(thm)],[])).
% 24.66/16.43 tff(12062,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB47)) | (~v130(constB47, bitIndex0)))),
% 24.66/16.43 inference(quant_inst,[status(thm)],[])).
% 24.66/16.43 tff(12063,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB47)) | (~v130(constB47, bitIndex0))),
% 24.66/16.43 inference(modus_ponens,[status(thm)],[12062, 12061])).
% 24.66/16.43 tff(12064,plain,
% 24.66/16.43 (~v119(constB47)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12063, 1327, 12060])).
% 24.66/16.43 tff(12065,plain,
% 24.66/16.43 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB47)) | (~v130(constB47, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB47)) | (~v130(constB47, bitIndex0)))),
% 24.66/16.43 inference(rewrite,[status(thm)],[])).
% 24.66/16.43 tff(12066,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB47)) | (~v130(constB47, bitIndex0)))),
% 24.66/16.43 inference(quant_inst,[status(thm)],[])).
% 24.66/16.43 tff(12067,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB47)) | (~v130(constB47, bitIndex0))),
% 24.66/16.43 inference(modus_ponens,[status(thm)],[12066, 12065])).
% 24.66/16.43 tff(12068,plain,
% 24.66/16.43 (~v123(constB47)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12067, 1617, 12060])).
% 24.66/16.43 tff(12069,assumption,(v90(constB48, bitIndex1)), introduced(assumption)).
% 24.66/16.43 tff(12070,plain,
% 24.66/16.43 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB48, bitIndex1)) | v129(constB48, bitIndex1) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | v129(constB48, bitIndex1) | (~v100(constB48)))),
% 24.66/16.43 inference(rewrite,[status(thm)],[])).
% 24.66/16.43 tff(12071,plain,
% 24.66/16.43 (((~v90(constB48, bitIndex1)) | (~v100(constB48)) | v129(constB48, bitIndex1)) <=> ((~v90(constB48, bitIndex1)) | v129(constB48, bitIndex1) | (~v100(constB48)))),
% 24.66/16.43 inference(rewrite,[status(thm)],[])).
% 24.66/16.43 tff(12072,plain,
% 24.66/16.43 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB48, bitIndex1)) | (~v100(constB48)) | v129(constB48, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB48, bitIndex1)) | v129(constB48, bitIndex1) | (~v100(constB48))))),
% 24.66/16.43 inference(monotonicity,[status(thm)],[12071])).
% 24.66/16.43 tff(12073,plain,
% 24.66/16.43 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB48, bitIndex1)) | (~v100(constB48)) | v129(constB48, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | v129(constB48, bitIndex1) | (~v100(constB48)))),
% 24.66/16.43 inference(transitivity,[status(thm)],[12072, 12070])).
% 24.66/16.43 tff(12074,plain,
% 24.66/16.43 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB48, bitIndex1)) | (~v100(constB48)) | v129(constB48, bitIndex1))),
% 24.66/16.43 inference(quant_inst,[status(thm)],[])).
% 24.66/16.43 tff(12075,plain,
% 24.66/16.43 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | v129(constB48, bitIndex1) | (~v100(constB48))),
% 24.66/16.43 inference(modus_ponens,[status(thm)],[12074, 12073])).
% 24.66/16.43 tff(12076,plain,
% 24.66/16.43 (v129(constB48, bitIndex1) | (~v100(constB48))),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12075, 1303, 12069])).
% 24.66/16.43 tff(12077,plain,
% 24.66/16.43 (v129(constB48, bitIndex1)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12076, 12042])).
% 24.66/16.43 tff(12078,plain,
% 24.66/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex1) | (~v129(constB48, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex1) | (~v129(constB48, bitIndex1)))),
% 24.66/16.43 inference(rewrite,[status(thm)],[])).
% 24.66/16.43 tff(12079,plain,
% 24.66/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex1) | (~v129(constB48, bitIndex1)))),
% 24.66/16.43 inference(quant_inst,[status(thm)],[])).
% 24.66/16.43 tff(12080,plain,
% 24.66/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex1) | (~v129(constB48, bitIndex1))),
% 24.66/16.43 inference(modus_ponens,[status(thm)],[12079, 12078])).
% 24.66/16.43 tff(12081,plain,
% 24.66/16.43 (v127(constB47, bitIndex1) | (~v129(constB48, bitIndex1))),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12080, 1288, 8232])).
% 24.66/16.43 tff(12082,plain,
% 24.66/16.43 (v127(constB47, bitIndex1)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12081, 12077])).
% 24.66/16.43 tff(12083,plain,
% 24.66/16.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB47, bitIndex1)) | v26(constB47) | v130(constB47, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB47, bitIndex1)) | v26(constB47) | v130(constB47, bitIndex1))),
% 24.66/16.43 inference(rewrite,[status(thm)],[])).
% 24.66/16.43 tff(12084,plain,
% 24.66/16.43 ((v26(constB47) | v130(constB47, bitIndex1) | (~v127(constB47, bitIndex1))) <=> ((~v127(constB47, bitIndex1)) | v26(constB47) | v130(constB47, bitIndex1))),
% 24.66/16.43 inference(rewrite,[status(thm)],[])).
% 24.66/16.43 tff(12085,plain,
% 24.66/16.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB47) | v130(constB47, bitIndex1) | (~v127(constB47, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB47, bitIndex1)) | v26(constB47) | v130(constB47, bitIndex1)))),
% 24.66/16.43 inference(monotonicity,[status(thm)],[12084])).
% 24.66/16.43 tff(12086,plain,
% 24.66/16.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB47) | v130(constB47, bitIndex1) | (~v127(constB47, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB47, bitIndex1)) | v26(constB47) | v130(constB47, bitIndex1))),
% 24.66/16.43 inference(transitivity,[status(thm)],[12085, 12083])).
% 24.66/16.43 tff(12087,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB47) | v130(constB47, bitIndex1) | (~v127(constB47, bitIndex1)))),
% 24.66/16.43 inference(quant_inst,[status(thm)],[])).
% 24.66/16.43 tff(12088,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB47, bitIndex1)) | v26(constB47) | v130(constB47, bitIndex1)),
% 24.66/16.43 inference(modus_ponens,[status(thm)],[12087, 12086])).
% 24.66/16.43 tff(12089,plain,
% 24.66/16.43 ((~v127(constB47, bitIndex1)) | v130(constB47, bitIndex1)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12088, 1270, 8214])).
% 24.66/16.43 tff(12090,plain,
% 24.66/16.43 (v130(constB47, bitIndex1)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12089, 12082])).
% 24.66/16.43 tff(12091,plain,
% 24.66/16.43 (~v120(constB47)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[8266, 2023, 12060])).
% 24.66/16.43 tff(12092,plain,
% 24.66/16.43 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB47)) | (~v130(constB47, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB47)) | (~v130(constB47, bitIndex0)))),
% 24.66/16.43 inference(rewrite,[status(thm)],[])).
% 24.66/16.43 tff(12093,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB47)) | (~v130(constB47, bitIndex0)))),
% 24.66/16.43 inference(quant_inst,[status(thm)],[])).
% 24.66/16.43 tff(12094,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB47)) | (~v130(constB47, bitIndex0))),
% 24.66/16.43 inference(modus_ponens,[status(thm)],[12093, 12092])).
% 24.66/16.43 tff(12095,plain,
% 24.66/16.43 (~v122(constB47)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12094, 2833, 12060])).
% 24.66/16.43 tff(12096,plain,
% 24.66/16.43 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB47) | v120(constB47) | v121(constB47) | v122(constB47) | v123(constB47) | v124(constB47) | (~v130(constB47, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB47) | v120(constB47) | v121(constB47) | v122(constB47) | v123(constB47) | v124(constB47) | (~v130(constB47, bitIndex1)))),
% 24.66/16.43 inference(rewrite,[status(thm)],[])).
% 24.66/16.43 tff(12097,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB47) | v120(constB47) | v121(constB47) | v122(constB47) | v123(constB47) | v124(constB47) | (~v130(constB47, bitIndex1)))),
% 24.66/16.43 inference(quant_inst,[status(thm)],[])).
% 24.66/16.43 tff(12098,plain,
% 24.66/16.43 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB47) | v120(constB47) | v121(constB47) | v122(constB47) | v123(constB47) | v124(constB47) | (~v130(constB47, bitIndex1))),
% 24.66/16.43 inference(modus_ponens,[status(thm)],[12097, 12096])).
% 24.66/16.43 tff(12099,plain,
% 24.66/16.43 (v121(constB47) | v124(constB47)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12098, 1887, 12095, 12091, 12090, 12068, 12064])).
% 24.66/16.43 tff(12100,plain,
% 24.66/16.43 ($false),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12099, 12055, 12051])).
% 24.66/16.43 tff(12101,plain,((~v100(constB48)) | (~v90(constB48, bitIndex2)) | (~v90(constB48, bitIndex1)) | (~v90(constB48, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 24.66/16.43 tff(12102,plain,
% 24.66/16.43 (~v100(constB48)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12101, 12041, 12039, 11889])).
% 24.66/16.43 tff(12103,plain,
% 24.66/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB47, bitIndex0) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB47, bitIndex0) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex0)))),
% 24.66/16.43 inference(rewrite,[status(thm)],[])).
% 24.66/16.43 tff(12104,plain,
% 24.66/16.43 (((~nextState(constB47, constB48)) | v90(constB47, bitIndex0) | v100(constB48) | (~v90(constB48, bitIndex0))) <=> (v90(constB47, bitIndex0) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex0)))),
% 24.66/16.43 inference(rewrite,[status(thm)],[])).
% 24.66/16.43 tff(12105,plain,
% 24.66/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex0) | v100(constB48) | (~v90(constB48, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB47, bitIndex0) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex0))))),
% 24.66/16.43 inference(monotonicity,[status(thm)],[12104])).
% 24.66/16.43 tff(12106,plain,
% 24.66/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex0) | v100(constB48) | (~v90(constB48, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB47, bitIndex0) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex0)))),
% 24.66/16.43 inference(transitivity,[status(thm)],[12105, 12103])).
% 24.66/16.43 tff(12107,plain,
% 24.66/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex0) | v100(constB48) | (~v90(constB48, bitIndex0)))),
% 24.66/16.43 inference(quant_inst,[status(thm)],[])).
% 24.66/16.43 tff(12108,plain,
% 24.66/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB47, bitIndex0) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex0))),
% 24.66/16.43 inference(modus_ponens,[status(thm)],[12107, 12106])).
% 24.66/16.43 tff(12109,plain,
% 24.66/16.43 (v90(constB47, bitIndex0) | v100(constB48) | (~v90(constB48, bitIndex0))),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12108, 934, 8232])).
% 24.66/16.43 tff(12110,plain,
% 24.66/16.43 (v90(constB47, bitIndex0)),
% 24.66/16.43 inference(unit_resolution,[status(thm)],[12109, 12102, 11889])).
% 24.66/16.43 tff(12111,plain,
% 24.66/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex0)))),
% 24.66/16.43 inference(rewrite,[status(thm)],[])).
% 24.66/16.43 tff(12112,plain,
% 24.66/16.43 (((~nextState(constB46, constB47)) | v90(constB46, bitIndex0) | v100(constB47) | (~v90(constB47, bitIndex0))) <=> (v90(constB46, bitIndex0) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex0)))),
% 24.66/16.43 inference(rewrite,[status(thm)],[])).
% 24.66/16.43 tff(12113,plain,
% 24.66/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex0) | v100(constB47) | (~v90(constB47, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex0))))),
% 24.66/16.43 inference(monotonicity,[status(thm)],[12112])).
% 24.66/16.43 tff(12114,plain,
% 24.66/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex0) | v100(constB47) | (~v90(constB47, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex0)))),
% 24.66/16.43 inference(transitivity,[status(thm)],[12113, 12111])).
% 24.66/16.43 tff(12115,plain,
% 24.66/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex0) | v100(constB47) | (~v90(constB47, bitIndex0)))),
% 24.66/16.44 inference(quant_inst,[status(thm)],[])).
% 24.66/16.44 tff(12116,plain,
% 24.66/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex0))),
% 24.66/16.44 inference(modus_ponens,[status(thm)],[12115, 12114])).
% 24.66/16.44 tff(12117,plain,
% 24.66/16.44 (v90(constB46, bitIndex0) | v100(constB47) | (~v90(constB47, bitIndex0))),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12116, 934, 8073])).
% 24.66/16.44 tff(12118,plain,
% 24.66/16.44 (v90(constB46, bitIndex0) | (~v90(constB47, bitIndex0))),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12117, 8085])).
% 24.66/16.44 tff(12119,plain,
% 24.66/16.44 (v90(constB46, bitIndex0)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12118, 12110])).
% 24.66/16.44 tff(12120,plain,
% 24.66/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB47, bitIndex1) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB47, bitIndex1) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex1)))),
% 24.66/16.44 inference(rewrite,[status(thm)],[])).
% 24.66/16.44 tff(12121,plain,
% 24.66/16.44 (((~nextState(constB47, constB48)) | v90(constB47, bitIndex1) | v100(constB48) | (~v90(constB48, bitIndex1))) <=> (v90(constB47, bitIndex1) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex1)))),
% 24.66/16.44 inference(rewrite,[status(thm)],[])).
% 24.66/16.44 tff(12122,plain,
% 24.66/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex1) | v100(constB48) | (~v90(constB48, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB47, bitIndex1) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex1))))),
% 24.66/16.44 inference(monotonicity,[status(thm)],[12121])).
% 24.66/16.44 tff(12123,plain,
% 24.66/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex1) | v100(constB48) | (~v90(constB48, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB47, bitIndex1) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex1)))),
% 24.66/16.44 inference(transitivity,[status(thm)],[12122, 12120])).
% 24.66/16.44 tff(12124,plain,
% 24.66/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex1) | v100(constB48) | (~v90(constB48, bitIndex1)))),
% 24.66/16.44 inference(quant_inst,[status(thm)],[])).
% 24.66/16.44 tff(12125,plain,
% 24.66/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB47, bitIndex1) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex1))),
% 24.66/16.44 inference(modus_ponens,[status(thm)],[12124, 12123])).
% 24.66/16.44 tff(12126,plain,
% 24.66/16.44 (v90(constB47, bitIndex1) | v100(constB48) | (~v90(constB48, bitIndex1))),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12125, 913, 8232])).
% 24.66/16.44 tff(12127,plain,
% 24.66/16.44 (v90(constB47, bitIndex1)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12126, 12102, 12039])).
% 24.66/16.44 tff(12128,plain,
% 24.66/16.44 (v90(constB46, bitIndex1)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[8158, 12127])).
% 24.66/16.44 tff(12129,plain,
% 24.66/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB47, bitIndex2) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB47, bitIndex2) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex2)))),
% 24.66/16.44 inference(rewrite,[status(thm)],[])).
% 24.66/16.44 tff(12130,plain,
% 24.66/16.44 (((~nextState(constB47, constB48)) | v90(constB47, bitIndex2) | v100(constB48) | (~v90(constB48, bitIndex2))) <=> (v90(constB47, bitIndex2) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex2)))),
% 24.66/16.44 inference(rewrite,[status(thm)],[])).
% 24.66/16.44 tff(12131,plain,
% 24.66/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex2) | v100(constB48) | (~v90(constB48, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB47, bitIndex2) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex2))))),
% 24.66/16.44 inference(monotonicity,[status(thm)],[12130])).
% 24.66/16.44 tff(12132,plain,
% 24.66/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex2) | v100(constB48) | (~v90(constB48, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB47, bitIndex2) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex2)))),
% 24.66/16.44 inference(transitivity,[status(thm)],[12131, 12129])).
% 24.66/16.44 tff(12133,plain,
% 24.66/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex2) | v100(constB48) | (~v90(constB48, bitIndex2)))),
% 24.66/16.44 inference(quant_inst,[status(thm)],[])).
% 24.66/16.44 tff(12134,plain,
% 24.66/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB47, bitIndex2) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex2))),
% 24.66/16.44 inference(modus_ponens,[status(thm)],[12133, 12132])).
% 24.66/16.44 tff(12135,plain,
% 24.66/16.44 (v90(constB47, bitIndex2) | v100(constB48) | (~v90(constB48, bitIndex2))),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12134, 892, 8232])).
% 24.66/16.44 tff(12136,plain,
% 24.66/16.44 (v90(constB47, bitIndex2)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12135, 12102, 12041])).
% 24.66/16.44 tff(12137,plain,
% 24.66/16.44 (v90(constB46, bitIndex2)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[8093, 12136])).
% 24.66/16.44 tff(12138,plain,
% 24.66/16.44 (~v130(constB45, bitIndex1)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[8128, 1887, 8041, 8045, 8037, 8033, 8029, 8025])).
% 24.66/16.44 tff(12139,plain,
% 24.66/16.44 (~v127(constB45, bitIndex1)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[8136, 12138])).
% 24.66/16.44 tff(12140,plain,
% 24.66/16.44 (~v129(constB46, bitIndex1)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[8141, 12139])).
% 24.66/16.44 tff(12141,plain,
% 24.66/16.44 ((~v90(constB46, bitIndex1)) | (~v100(constB46))),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[8148, 1303, 12140])).
% 24.66/16.44 tff(12142,plain,
% 24.66/16.44 (~v90(constB46, bitIndex1)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12141, 8021])).
% 24.66/16.44 tff(12143,plain,
% 24.66/16.44 (~v90(constB47, bitIndex1)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[8158, 12142])).
% 24.66/16.44 tff(12144,plain,
% 24.66/16.44 (v100(constB48)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12126, 12143, 12069])).
% 24.66/16.44 tff(12145,plain,
% 24.66/16.44 (v129(constB48, bitIndex0)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12057, 12144])).
% 24.66/16.44 tff(12146,plain,
% 24.66/16.44 (v127(constB47, bitIndex0)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[8279, 12145])).
% 24.66/16.44 tff(12147,plain,
% 24.66/16.44 (v130(constB47, bitIndex0)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[8274, 12146])).
% 24.66/16.44 tff(12148,plain,
% 24.66/16.44 (~v130(constB45, bitIndex2)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[8048, 1798, 8041, 8045, 8037, 8033, 8029, 8025])).
% 24.66/16.44 tff(12149,plain,
% 24.66/16.44 (~v127(constB45, bitIndex2)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[8056, 12148])).
% 24.66/16.44 tff(12150,plain,
% 24.66/16.44 (~v129(constB46, bitIndex2)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[8061, 12149])).
% 24.66/16.44 tff(12151,plain,
% 24.66/16.44 ((~v90(constB46, bitIndex2)) | (~v100(constB46))),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[8065, 1845, 12150])).
% 24.66/16.44 tff(12152,plain,
% 24.66/16.44 (~v90(constB46, bitIndex2)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12151, 8021])).
% 24.66/16.44 tff(12153,plain,
% 24.66/16.44 (~v90(constB47, bitIndex2)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[8093, 12152])).
% 24.66/16.44 tff(12154,plain,
% 24.66/16.44 (v130(constB45, bitIndex0)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[8097, 1931, 8041, 8045, 8037, 8033, 8029, 8025])).
% 24.66/16.44 tff(12155,plain,
% 24.66/16.44 (v127(constB45, bitIndex0)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[8102, 12154])).
% 24.66/16.44 tff(12156,plain,
% 24.66/16.44 (v129(constB46, bitIndex0)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[8107, 12155])).
% 24.66/16.44 tff(12157,plain,
% 24.66/16.44 (v90(constB46, bitIndex0) | (~v100(constB46))),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[8114, 1975, 12156])).
% 24.66/16.44 tff(12158,plain,
% 24.66/16.44 (v90(constB46, bitIndex0)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12157, 8021])).
% 24.66/16.44 tff(12159,plain,
% 24.66/16.44 (v90(constB47, bitIndex0)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[8124, 12158])).
% 24.66/16.44 tff(12160,plain,
% 24.66/16.44 (v120(constB47)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[8163, 2012, 12159, 12143, 12153])).
% 24.66/16.44 tff(12161,plain,
% 24.66/16.44 ($false),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[8266, 2023, 12160, 12147])).
% 24.66/16.44 tff(12162,plain,((~v123(constB43)) | (~v90(constB48, bitIndex0)) | (~v90(constB48, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 24.66/16.44 tff(12163,plain,
% 24.66/16.44 (~v123(constB43)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12162, 11889, 12039])).
% 24.66/16.44 tff(12164,assumption,(~v100(constB48)), introduced(assumption)).
% 24.66/16.44 tff(12165,plain,
% 24.66/16.44 (v90(constB47, bitIndex0)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12109, 12164, 12056])).
% 24.66/16.44 tff(12166,plain,
% 24.66/16.44 (v90(constB46, bitIndex0)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12118, 12165])).
% 24.66/16.44 tff(12167,plain,
% 24.66/16.44 (v90(constB47, bitIndex1)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12126, 12164, 12069])).
% 24.66/16.44 tff(12168,plain,
% 24.66/16.44 (v90(constB46, bitIndex1)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[8158, 12167])).
% 24.66/16.44 tff(12169,assumption,(~v130(constB43, bitIndex0)), introduced(assumption)).
% 24.66/16.44 tff(12170,plain,
% 24.66/16.44 (~v123(constB43)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12162, 12056, 12069])).
% 24.66/16.44 tff(12171,plain,
% 24.66/16.44 (v90(constB47, bitIndex2)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12135, 12164, 12043])).
% 24.66/16.44 tff(12172,plain,
% 24.66/16.44 (v90(constB46, bitIndex2)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[8093, 12171])).
% 24.66/16.44 tff(12173,plain,
% 24.66/16.44 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB43)) | v130(constB43, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB43)) | v130(constB43, bitIndex0))),
% 24.66/16.44 inference(rewrite,[status(thm)],[])).
% 24.66/16.44 tff(12174,plain,
% 24.66/16.44 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB43)) | v130(constB43, bitIndex0))),
% 24.66/16.44 inference(quant_inst,[status(thm)],[])).
% 24.66/16.44 tff(12175,plain,
% 24.66/16.44 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB43)) | v130(constB43, bitIndex0)),
% 24.66/16.44 inference(modus_ponens,[status(thm)],[12174, 12173])).
% 24.66/16.44 tff(12176,plain,
% 24.66/16.44 (~v124(constB43)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12175, 7189, 12169])).
% 24.66/16.44 tff(12177,plain,
% 24.66/16.44 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB43)) | v130(constB43, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB43)) | v130(constB43, bitIndex0))),
% 24.66/16.44 inference(rewrite,[status(thm)],[])).
% 24.66/16.44 tff(12178,plain,
% 24.66/16.44 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB43)) | v130(constB43, bitIndex0))),
% 24.66/16.44 inference(quant_inst,[status(thm)],[])).
% 24.66/16.44 tff(12179,plain,
% 24.66/16.44 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB43)) | v130(constB43, bitIndex0)),
% 24.66/16.44 inference(modus_ponens,[status(thm)],[12178, 12177])).
% 24.66/16.44 tff(12180,plain,
% 24.66/16.44 (~v121(constB43)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12179, 2600, 12169])).
% 24.66/16.44 tff(12181,assumption,(v90(constB46, bitIndex2)), introduced(assumption)).
% 24.66/16.44 tff(12182,assumption,(~v100(constB46)), introduced(assumption)).
% 24.66/16.44 tff(12183,plain,
% 24.66/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB45, bitIndex2) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB45, bitIndex2) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex2)))),
% 24.66/16.44 inference(rewrite,[status(thm)],[])).
% 24.66/16.44 tff(12184,plain,
% 24.66/16.44 (((~nextState(constB45, constB46)) | v90(constB45, bitIndex2) | v100(constB46) | (~v90(constB46, bitIndex2))) <=> (v90(constB45, bitIndex2) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex2)))),
% 24.66/16.44 inference(rewrite,[status(thm)],[])).
% 24.66/16.44 tff(12185,plain,
% 24.66/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB45, constB46)) | v90(constB45, bitIndex2) | v100(constB46) | (~v90(constB46, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB45, bitIndex2) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex2))))),
% 24.66/16.44 inference(monotonicity,[status(thm)],[12184])).
% 24.66/16.44 tff(12186,plain,
% 24.66/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB45, constB46)) | v90(constB45, bitIndex2) | v100(constB46) | (~v90(constB46, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB45, bitIndex2) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex2)))),
% 24.66/16.44 inference(transitivity,[status(thm)],[12185, 12183])).
% 24.66/16.44 tff(12187,plain,
% 24.66/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB45, constB46)) | v90(constB45, bitIndex2) | v100(constB46) | (~v90(constB46, bitIndex2)))),
% 24.66/16.44 inference(quant_inst,[status(thm)],[])).
% 24.66/16.44 tff(12188,plain,
% 24.66/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB45, bitIndex2) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex2))),
% 24.66/16.44 inference(modus_ponens,[status(thm)],[12187, 12186])).
% 24.66/16.44 tff(12189,plain,
% 24.66/16.44 (v90(constB45, bitIndex2) | v100(constB46) | (~v90(constB46, bitIndex2))),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12188, 892, 7990])).
% 24.66/16.44 tff(12190,plain,
% 24.66/16.44 (v90(constB45, bitIndex2)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12189, 12182, 12181])).
% 24.66/16.44 tff(12191,plain,
% 24.66/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex2)))),
% 24.66/16.44 inference(rewrite,[status(thm)],[])).
% 24.66/16.44 tff(12192,plain,
% 24.66/16.44 (((~nextState(constB44, constB45)) | v90(constB44, bitIndex2) | v100(constB45) | (~v90(constB45, bitIndex2))) <=> (v90(constB44, bitIndex2) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex2)))),
% 24.66/16.44 inference(rewrite,[status(thm)],[])).
% 24.66/16.44 tff(12193,plain,
% 24.66/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex2) | v100(constB45) | (~v90(constB45, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex2))))),
% 24.66/16.44 inference(monotonicity,[status(thm)],[12192])).
% 24.66/16.44 tff(12194,plain,
% 24.66/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex2) | v100(constB45) | (~v90(constB45, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex2)))),
% 24.66/16.44 inference(transitivity,[status(thm)],[12193, 12191])).
% 24.66/16.44 tff(12195,plain,
% 24.66/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex2) | v100(constB45) | (~v90(constB45, bitIndex2)))),
% 24.66/16.44 inference(quant_inst,[status(thm)],[])).
% 24.66/16.44 tff(12196,plain,
% 24.66/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex2))),
% 24.66/16.44 inference(modus_ponens,[status(thm)],[12195, 12194])).
% 24.66/16.44 tff(12197,plain,
% 24.66/16.44 (v90(constB44, bitIndex2) | v100(constB45) | (~v90(constB45, bitIndex2))),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12196, 892, 7874])).
% 24.66/16.44 tff(12198,plain,
% 24.66/16.44 (v90(constB44, bitIndex2) | (~v90(constB45, bitIndex2))),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12197, 7886])).
% 24.66/16.44 tff(12199,plain,
% 24.66/16.44 (v90(constB44, bitIndex2)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12198, 12190])).
% 24.66/16.44 tff(12200,assumption,(v90(constB46, bitIndex0)), introduced(assumption)).
% 24.66/16.44 tff(12201,plain,
% 24.66/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB45, bitIndex0) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB45, bitIndex0) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex0)))),
% 24.66/16.44 inference(rewrite,[status(thm)],[])).
% 24.66/16.44 tff(12202,plain,
% 24.66/16.44 (((~nextState(constB45, constB46)) | v90(constB45, bitIndex0) | v100(constB46) | (~v90(constB46, bitIndex0))) <=> (v90(constB45, bitIndex0) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex0)))),
% 24.66/16.44 inference(rewrite,[status(thm)],[])).
% 24.66/16.44 tff(12203,plain,
% 24.66/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB45, constB46)) | v90(constB45, bitIndex0) | v100(constB46) | (~v90(constB46, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB45, bitIndex0) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex0))))),
% 24.66/16.44 inference(monotonicity,[status(thm)],[12202])).
% 24.66/16.44 tff(12204,plain,
% 24.66/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB45, constB46)) | v90(constB45, bitIndex0) | v100(constB46) | (~v90(constB46, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB45, bitIndex0) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex0)))),
% 24.66/16.44 inference(transitivity,[status(thm)],[12203, 12201])).
% 24.66/16.44 tff(12205,plain,
% 24.66/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB45, constB46)) | v90(constB45, bitIndex0) | v100(constB46) | (~v90(constB46, bitIndex0)))),
% 24.66/16.44 inference(quant_inst,[status(thm)],[])).
% 24.66/16.44 tff(12206,plain,
% 24.66/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB45, bitIndex0) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex0))),
% 24.66/16.44 inference(modus_ponens,[status(thm)],[12205, 12204])).
% 24.66/16.44 tff(12207,plain,
% 24.66/16.44 (v90(constB45, bitIndex0) | v100(constB46) | (~v90(constB46, bitIndex0))),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12206, 934, 7990])).
% 24.66/16.44 tff(12208,plain,
% 24.66/16.44 (v90(constB45, bitIndex0)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12207, 12182, 12200])).
% 24.66/16.44 tff(12209,plain,
% 24.66/16.44 (v90(constB44, bitIndex0)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[7959, 12208])).
% 24.66/16.44 tff(12210,plain,
% 24.66/16.44 (~v127(constB43, bitIndex0)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[7937, 12169])).
% 24.66/16.44 tff(12211,plain,
% 24.66/16.44 (~v129(constB44, bitIndex0)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[7942, 12210])).
% 24.66/16.44 tff(12212,plain,
% 24.66/16.44 ((~v90(constB44, bitIndex0)) | (~v100(constB44))),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[7949, 1374, 12211])).
% 24.66/16.44 tff(12213,plain,
% 24.66/16.44 (~v100(constB44)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12212, 12209])).
% 24.66/16.44 tff(12214,plain,
% 24.66/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB43, bitIndex2) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB43, bitIndex2) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex2)))),
% 24.66/16.44 inference(rewrite,[status(thm)],[])).
% 24.66/16.44 tff(12215,plain,
% 24.66/16.44 (((~nextState(constB43, constB44)) | v90(constB43, bitIndex2) | v100(constB44) | (~v90(constB44, bitIndex2))) <=> (v90(constB43, bitIndex2) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex2)))),
% 24.66/16.44 inference(rewrite,[status(thm)],[])).
% 24.66/16.44 tff(12216,plain,
% 24.66/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex2) | v100(constB44) | (~v90(constB44, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB43, bitIndex2) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex2))))),
% 24.66/16.44 inference(monotonicity,[status(thm)],[12215])).
% 24.66/16.44 tff(12217,plain,
% 24.66/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex2) | v100(constB44) | (~v90(constB44, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB43, bitIndex2) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex2)))),
% 24.66/16.44 inference(transitivity,[status(thm)],[12216, 12214])).
% 24.66/16.44 tff(12218,plain,
% 24.66/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex2) | v100(constB44) | (~v90(constB44, bitIndex2)))),
% 24.66/16.44 inference(quant_inst,[status(thm)],[])).
% 24.66/16.44 tff(12219,plain,
% 24.66/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB43, bitIndex2) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex2))),
% 24.66/16.44 inference(modus_ponens,[status(thm)],[12218, 12217])).
% 24.66/16.44 tff(12220,plain,
% 24.66/16.44 (v90(constB43, bitIndex2) | v100(constB44) | (~v90(constB44, bitIndex2))),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12219, 892, 7812])).
% 24.66/16.44 tff(12221,plain,
% 24.66/16.44 (v90(constB43, bitIndex2)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12220, 12213, 12199])).
% 24.66/16.44 tff(12222,assumption,(~v124(constB43)), introduced(assumption)).
% 24.66/16.44 tff(12223,assumption,(~v121(constB43)), introduced(assumption)).
% 24.66/16.44 tff(12224,assumption,(~v120(constB43)), introduced(assumption)).
% 24.66/16.44 tff(12225,assumption,(v90(constB43, bitIndex2)), introduced(assumption)).
% 24.66/16.44 tff(12226,plain,
% 24.66/16.44 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB43)) | (~v90(constB43, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB43)) | (~v90(constB43, bitIndex2)))),
% 24.66/16.44 inference(rewrite,[status(thm)],[])).
% 24.66/16.44 tff(12227,plain,
% 24.66/16.44 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB43)) | (~v90(constB43, bitIndex2)))),
% 24.66/16.44 inference(quant_inst,[status(thm)],[])).
% 24.66/16.44 tff(12228,plain,
% 24.66/16.44 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB43)) | (~v90(constB43, bitIndex2))),
% 24.66/16.44 inference(modus_ponens,[status(thm)],[12227, 12226])).
% 24.66/16.44 tff(12229,plain,
% 24.66/16.44 (~v122(constB43)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12228, 1740, 12225])).
% 24.66/16.44 tff(12230,plain,
% 24.66/16.44 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))))),
% 24.66/16.44 inference(bind,[status(th)],[])).
% 24.66/16.44 tff(12231,plain,
% 24.66/16.44 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 24.66/16.44 inference(quant_intro,[status(thm)],[12230])).
% 24.66/16.44 tff(12232,plain,
% 24.66/16.44 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 24.66/16.44 inference(rewrite,[status(thm)],[])).
% 24.66/16.44 tff(12233,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_2')).
% 24.66/16.44 tff(12234,plain,
% 24.66/16.44 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 24.66/16.44 inference(modus_ponens,[status(thm)],[12233, 12232])).
% 24.66/16.44 tff(12235,plain,(
% 24.66/16.44 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 24.66/16.44 inference(skolemize,[status(sab)],[12234])).
% 24.66/16.44 tff(12236,plain,
% 24.66/16.44 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 24.66/16.44 inference(modus_ponens,[status(thm)],[12235, 12231])).
% 24.66/16.44 tff(12237,plain,
% 24.66/16.44 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB43)) | (~v90(constB43, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB43)) | (~v90(constB43, bitIndex2)))),
% 24.66/16.44 inference(rewrite,[status(thm)],[])).
% 24.66/16.44 tff(12238,plain,
% 24.66/16.44 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB43)) | (~v90(constB43, bitIndex2)))),
% 24.66/16.44 inference(quant_inst,[status(thm)],[])).
% 24.66/16.44 tff(12239,plain,
% 24.66/16.44 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB43)) | (~v90(constB43, bitIndex2))),
% 24.66/16.44 inference(modus_ponens,[status(thm)],[12238, 12237])).
% 24.66/16.44 tff(12240,plain,
% 24.66/16.44 (~v119(constB43)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12239, 12236, 12225])).
% 24.66/16.44 tff(12241,plain,
% 24.66/16.44 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB43) | v120(constB43) | v121(constB43) | v122(constB43) | v123(constB43) | v124(constB43) | v130(constB43, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB43) | v120(constB43) | v121(constB43) | v122(constB43) | v123(constB43) | v124(constB43) | v130(constB43, bitIndex0))),
% 24.66/16.44 inference(rewrite,[status(thm)],[])).
% 24.66/16.44 tff(12242,plain,
% 24.66/16.44 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB43) | v120(constB43) | v121(constB43) | v122(constB43) | v123(constB43) | v124(constB43) | v130(constB43, bitIndex0))),
% 24.66/16.44 inference(quant_inst,[status(thm)],[])).
% 24.66/16.44 tff(12243,plain,
% 24.66/16.44 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB43) | v120(constB43) | v121(constB43) | v122(constB43) | v123(constB43) | v124(constB43) | v130(constB43, bitIndex0)),
% 24.66/16.44 inference(modus_ponens,[status(thm)],[12242, 12241])).
% 24.66/16.44 tff(12244,plain,
% 24.66/16.44 (v119(constB43) | v120(constB43) | v121(constB43) | v122(constB43) | v124(constB43) | v130(constB43, bitIndex0)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12243, 1931, 7767])).
% 24.66/16.44 tff(12245,plain,
% 24.66/16.44 ($false),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12244, 12240, 12229, 12224, 12223, 12169, 12222])).
% 24.66/16.44 tff(12246,plain,((~v90(constB43, bitIndex2)) | v120(constB43) | v121(constB43) | v130(constB43, bitIndex0) | v124(constB43) | v123(constB43)), inference(lemma,lemma(discharge,[]))).
% 24.66/16.44 tff(12247,plain,
% 24.66/16.44 (v120(constB43)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12246, 12221, 12169, 12180, 12176, 7767])).
% 24.66/16.44 tff(12248,assumption,(v90(constB46, bitIndex1)), introduced(assumption)).
% 24.66/16.44 tff(12249,plain,
% 24.66/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB45, bitIndex1) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB45, bitIndex1) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex1)))),
% 24.66/16.44 inference(rewrite,[status(thm)],[])).
% 24.66/16.44 tff(12250,plain,
% 24.66/16.44 (((~nextState(constB45, constB46)) | v90(constB45, bitIndex1) | v100(constB46) | (~v90(constB46, bitIndex1))) <=> (v90(constB45, bitIndex1) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex1)))),
% 24.66/16.44 inference(rewrite,[status(thm)],[])).
% 24.66/16.44 tff(12251,plain,
% 24.66/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v90(constB45, bitIndex1) | v100(constB46) | (~v90(constB46, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB45, bitIndex1) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex1))))),
% 24.66/16.44 inference(monotonicity,[status(thm)],[12250])).
% 24.66/16.44 tff(12252,plain,
% 24.66/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v90(constB45, bitIndex1) | v100(constB46) | (~v90(constB46, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB45, bitIndex1) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex1)))),
% 24.66/16.44 inference(transitivity,[status(thm)],[12251, 12249])).
% 24.66/16.44 tff(12253,plain,
% 24.66/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v90(constB45, bitIndex1) | v100(constB46) | (~v90(constB46, bitIndex1)))),
% 24.66/16.44 inference(quant_inst,[status(thm)],[])).
% 24.66/16.44 tff(12254,plain,
% 24.66/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB45, bitIndex1) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, bitIndex1))),
% 24.66/16.44 inference(modus_ponens,[status(thm)],[12253, 12252])).
% 24.66/16.44 tff(12255,plain,
% 24.66/16.44 (v90(constB45, bitIndex1) | v100(constB46) | (~v90(constB46, bitIndex1))),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12254, 913, 7990])).
% 24.66/16.44 tff(12256,plain,
% 24.66/16.44 (v90(constB45, bitIndex1)),
% 24.66/16.44 inference(unit_resolution,[status(thm)],[12255, 12182, 12248])).
% 24.66/16.44 tff(12257,plain,
% 24.66/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1)))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12258,plain,
% 24.66/16.45 (((~nextState(constB44, constB45)) | v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1))) <=> (v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1)))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12259,plain,
% 24.66/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1))))),
% 24.66/16.45 inference(monotonicity,[status(thm)],[12258])).
% 24.66/16.45 tff(12260,plain,
% 24.66/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1)))),
% 24.66/16.45 inference(transitivity,[status(thm)],[12259, 12257])).
% 24.66/16.45 tff(12261,plain,
% 24.66/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1)))),
% 24.66/16.45 inference(quant_inst,[status(thm)],[])).
% 24.66/16.45 tff(12262,plain,
% 24.66/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1))),
% 24.66/16.45 inference(modus_ponens,[status(thm)],[12261, 12260])).
% 24.66/16.45 tff(12263,plain,
% 24.66/16.45 (v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1))),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12262, 913, 7874])).
% 24.66/16.45 tff(12264,plain,
% 24.66/16.45 (v90(constB44, bitIndex1) | (~v90(constB45, bitIndex1))),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12263, 7886])).
% 24.66/16.45 tff(12265,plain,
% 24.66/16.45 (v90(constB44, bitIndex1)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12264, 12256])).
% 24.66/16.45 tff(12266,plain,
% 24.66/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB43, bitIndex1) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB43, bitIndex1) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex1)))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12267,plain,
% 24.66/16.45 (((~nextState(constB43, constB44)) | v90(constB43, bitIndex1) | v100(constB44) | (~v90(constB44, bitIndex1))) <=> (v90(constB43, bitIndex1) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex1)))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12268,plain,
% 24.66/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex1) | v100(constB44) | (~v90(constB44, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB43, bitIndex1) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex1))))),
% 24.66/16.45 inference(monotonicity,[status(thm)],[12267])).
% 24.66/16.45 tff(12269,plain,
% 24.66/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex1) | v100(constB44) | (~v90(constB44, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB43, bitIndex1) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex1)))),
% 24.66/16.45 inference(transitivity,[status(thm)],[12268, 12266])).
% 24.66/16.45 tff(12270,plain,
% 24.66/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex1) | v100(constB44) | (~v90(constB44, bitIndex1)))),
% 24.66/16.45 inference(quant_inst,[status(thm)],[])).
% 24.66/16.45 tff(12271,plain,
% 24.66/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB43, bitIndex1) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex1))),
% 24.66/16.45 inference(modus_ponens,[status(thm)],[12270, 12269])).
% 24.66/16.45 tff(12272,plain,
% 24.66/16.45 (v90(constB43, bitIndex1) | v100(constB44) | (~v90(constB44, bitIndex1))),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12271, 913, 7812])).
% 24.66/16.45 tff(12273,plain,
% 24.66/16.45 (v90(constB43, bitIndex1)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12272, 12213, 12265])).
% 24.66/16.45 tff(12274,plain,
% 24.66/16.45 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB43)) | (~v90(constB43, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB43)) | (~v90(constB43, bitIndex1)))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12275,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB43)) | (~v90(constB43, bitIndex1)))),
% 24.66/16.45 inference(quant_inst,[status(thm)],[])).
% 24.66/16.45 tff(12276,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB43)) | (~v90(constB43, bitIndex1))),
% 24.66/16.45 inference(modus_ponens,[status(thm)],[12275, 12274])).
% 24.66/16.45 tff(12277,plain,
% 24.66/16.45 ($false),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12276, 1762, 12273, 12247])).
% 24.66/16.45 tff(12278,plain,(v100(constB46) | v130(constB43, bitIndex0) | v123(constB43) | (~v90(constB46, bitIndex2)) | (~v90(constB46, bitIndex1)) | (~v90(constB46, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 24.66/16.45 tff(12279,plain,
% 24.66/16.45 (v100(constB46)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12278, 12172, 12170, 12169, 12168, 12166])).
% 24.66/16.45 tff(12280,plain,
% 24.66/16.45 (v129(constB46, bitIndex2) | (~v100(constB46))),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[8065, 1845, 12172])).
% 24.66/16.45 tff(12281,plain,
% 24.66/16.45 (v129(constB46, bitIndex2)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12280, 12279])).
% 24.66/16.45 tff(12282,plain,
% 24.66/16.45 (v127(constB45, bitIndex2)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[8061, 12281])).
% 24.66/16.45 tff(12283,plain,
% 24.66/16.45 (v130(constB45, bitIndex2)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[8056, 12282])).
% 24.66/16.45 tff(12284,plain,
% 24.66/16.45 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB45)) | (~v130(constB45, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB45)) | (~v130(constB45, bitIndex2)))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12285,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB45)) | (~v130(constB45, bitIndex2)))),
% 24.66/16.45 inference(quant_inst,[status(thm)],[])).
% 24.66/16.45 tff(12286,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB45)) | (~v130(constB45, bitIndex2))),
% 24.66/16.45 inference(modus_ponens,[status(thm)],[12285, 12284])).
% 24.66/16.45 tff(12287,plain,
% 24.66/16.45 (~v124(constB45)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12286, 4807, 12283])).
% 24.66/16.45 tff(12288,plain,
% 24.66/16.45 (v129(constB46, bitIndex1) | (~v100(constB46))),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[8148, 1303, 12168])).
% 24.66/16.45 tff(12289,plain,
% 24.66/16.45 (v129(constB46, bitIndex1)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12288, 12279])).
% 24.66/16.45 tff(12290,plain,
% 24.66/16.45 (v127(constB45, bitIndex1)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[8141, 12289])).
% 24.66/16.45 tff(12291,plain,
% 24.66/16.45 (v130(constB45, bitIndex1)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[8136, 12290])).
% 24.66/16.45 tff(12292,plain,
% 24.66/16.45 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB45)) | (~v130(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB45)) | (~v130(constB45, bitIndex1)))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12293,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB45)) | (~v130(constB45, bitIndex1)))),
% 24.66/16.45 inference(quant_inst,[status(thm)],[])).
% 24.66/16.45 tff(12294,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB45)) | (~v130(constB45, bitIndex1))),
% 24.66/16.45 inference(modus_ponens,[status(thm)],[12293, 12292])).
% 24.66/16.45 tff(12295,plain,
% 24.66/16.45 (~v122(constB45)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12294, 2792, 12291])).
% 24.66/16.45 tff(12296,plain,
% 24.66/16.45 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB45)) | (~v130(constB45, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB45)) | (~v130(constB45, bitIndex2)))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12297,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB45)) | (~v130(constB45, bitIndex2)))),
% 24.66/16.45 inference(quant_inst,[status(thm)],[])).
% 24.66/16.45 tff(12298,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB45)) | (~v130(constB45, bitIndex2))),
% 24.66/16.45 inference(modus_ponens,[status(thm)],[12297, 12296])).
% 24.66/16.45 tff(12299,plain,
% 24.66/16.45 (~v121(constB45)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12298, 2406, 12283])).
% 24.66/16.45 tff(12300,plain,
% 24.66/16.45 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB45)) | (~v130(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB45)) | (~v130(constB45, bitIndex1)))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12301,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB45)) | (~v130(constB45, bitIndex1)))),
% 24.66/16.45 inference(quant_inst,[status(thm)],[])).
% 24.66/16.45 tff(12302,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB45)) | (~v130(constB45, bitIndex1))),
% 24.66/16.45 inference(modus_ponens,[status(thm)],[12301, 12300])).
% 24.66/16.45 tff(12303,plain,
% 24.66/16.45 (~v119(constB45)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12302, 1256, 12291])).
% 24.66/16.45 tff(12304,plain,
% 24.66/16.45 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB45)) | (~v130(constB45, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB45)) | (~v130(constB45, bitIndex2)))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12305,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB45)) | (~v130(constB45, bitIndex2)))),
% 24.66/16.45 inference(quant_inst,[status(thm)],[])).
% 24.66/16.45 tff(12306,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB45)) | (~v130(constB45, bitIndex2))),
% 24.66/16.45 inference(modus_ponens,[status(thm)],[12305, 12304])).
% 24.66/16.45 tff(12307,plain,
% 24.66/16.45 (~v120(constB45)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12306, 2231, 12283])).
% 24.66/16.45 tff(12308,assumption,(v123(constB45)), introduced(assumption)).
% 24.66/16.45 tff(12309,plain,
% 24.66/16.45 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB45)) | v115(constB45))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB45)) | v115(constB45))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12310,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB45)) | v115(constB45))),
% 24.66/16.45 inference(quant_inst,[status(thm)],[])).
% 24.66/16.45 tff(12311,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB45)) | v115(constB45)),
% 24.66/16.45 inference(modus_ponens,[status(thm)],[12310, 12309])).
% 24.66/16.45 tff(12312,plain,
% 24.66/16.45 (v115(constB45)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12311, 1412, 12308])).
% 24.66/16.45 tff(12313,plain,
% 24.66/16.45 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB45)) | v114(constB45))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB45)) | v114(constB45))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12314,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB45)) | v114(constB45))),
% 24.66/16.45 inference(quant_inst,[status(thm)],[])).
% 24.66/16.45 tff(12315,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB45)) | v114(constB45)),
% 24.66/16.45 inference(modus_ponens,[status(thm)],[12314, 12313])).
% 24.66/16.45 tff(12316,plain,
% 24.66/16.45 (v114(constB45)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12315, 1022, 12312])).
% 24.66/16.45 tff(12317,plain,
% 24.66/16.45 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB45) | (~v114(constB45)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB45) | (~v114(constB45)))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12318,plain,
% 24.66/16.45 (((~v114(constB45)) | v113(constB45)) <=> (v113(constB45) | (~v114(constB45)))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12319,plain,
% 24.66/16.45 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB45)) | v113(constB45))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB45) | (~v114(constB45))))),
% 24.66/16.45 inference(monotonicity,[status(thm)],[12318])).
% 24.66/16.45 tff(12320,plain,
% 24.66/16.45 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB45)) | v113(constB45))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB45) | (~v114(constB45)))),
% 24.66/16.45 inference(transitivity,[status(thm)],[12319, 12317])).
% 24.66/16.45 tff(12321,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB45)) | v113(constB45))),
% 24.66/16.45 inference(quant_inst,[status(thm)],[])).
% 24.66/16.45 tff(12322,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB45) | (~v114(constB45))),
% 24.66/16.45 inference(modus_ponens,[status(thm)],[12321, 12320])).
% 24.66/16.45 tff(12323,plain,
% 24.66/16.45 (v113(constB45)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12322, 1036, 12316])).
% 24.66/16.45 tff(12324,plain,
% 24.66/16.45 (v112(constB45)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[7979, 12323])).
% 24.66/16.45 tff(12325,plain,
% 24.66/16.45 (v108(constB45)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[7986, 1062, 12324])).
% 24.66/16.45 tff(12326,plain,
% 24.66/16.45 (v110(constB46)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[7997, 12325])).
% 24.66/16.45 tff(12327,plain,
% 24.66/16.45 (v100(constB46)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[8020, 12326])).
% 24.66/16.45 tff(12328,plain,
% 24.66/16.45 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB45)) | v130(constB45, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB45)) | v130(constB45, bitIndex1))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12329,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB45)) | v130(constB45, bitIndex1))),
% 24.66/16.45 inference(quant_inst,[status(thm)],[])).
% 24.66/16.45 tff(12330,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB45)) | v130(constB45, bitIndex1)),
% 24.66/16.45 inference(modus_ponens,[status(thm)],[12329, 12328])).
% 24.66/16.45 tff(12331,plain,
% 24.66/16.45 (v130(constB45, bitIndex1)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12330, 1539, 12308])).
% 24.66/16.45 tff(12332,plain,
% 24.66/16.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB45) | (~v130(constB45, bitIndex1)) | v127(constB45, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB45) | (~v130(constB45, bitIndex1)) | v127(constB45, bitIndex1))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12333,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB45) | (~v130(constB45, bitIndex1)) | v127(constB45, bitIndex1))),
% 24.66/16.45 inference(quant_inst,[status(thm)],[])).
% 24.66/16.45 tff(12334,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB45) | (~v130(constB45, bitIndex1)) | v127(constB45, bitIndex1)),
% 24.66/16.45 inference(modus_ponens,[status(thm)],[12333, 12332])).
% 24.66/16.45 tff(12335,plain,
% 24.66/16.45 ((~v130(constB45, bitIndex1)) | v127(constB45, bitIndex1)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12334, 1553, 7975])).
% 24.66/16.45 tff(12336,plain,
% 24.66/16.45 (v127(constB45, bitIndex1)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12335, 12331])).
% 24.66/16.45 tff(12337,plain,
% 24.66/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex1)) | v129(constB46, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex1)) | v129(constB46, bitIndex1))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12338,plain,
% 24.66/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex1)) | v129(constB46, bitIndex1))),
% 24.66/16.45 inference(quant_inst,[status(thm)],[])).
% 24.66/16.45 tff(12339,plain,
% 24.66/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex1)) | v129(constB46, bitIndex1)),
% 24.66/16.45 inference(modus_ponens,[status(thm)],[12338, 12337])).
% 24.66/16.45 tff(12340,plain,
% 24.66/16.45 ((~v127(constB45, bitIndex1)) | v129(constB46, bitIndex1)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12339, 1568, 7990])).
% 24.66/16.45 tff(12341,plain,
% 24.66/16.45 (v129(constB46, bitIndex1)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12340, 12336])).
% 24.66/16.45 tff(12342,plain,
% 24.66/16.45 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB46, bitIndex1) | (~v129(constB46, bitIndex1)) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB46, bitIndex1) | (~v129(constB46, bitIndex1)) | (~v100(constB46)))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12343,plain,
% 24.66/16.45 ((v90(constB46, bitIndex1) | (~v100(constB46)) | (~v129(constB46, bitIndex1))) <=> (v90(constB46, bitIndex1) | (~v129(constB46, bitIndex1)) | (~v100(constB46)))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12344,plain,
% 24.66/16.45 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB46, bitIndex1) | (~v100(constB46)) | (~v129(constB46, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB46, bitIndex1) | (~v129(constB46, bitIndex1)) | (~v100(constB46))))),
% 24.66/16.45 inference(monotonicity,[status(thm)],[12343])).
% 24.66/16.45 tff(12345,plain,
% 24.66/16.45 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB46, bitIndex1) | (~v100(constB46)) | (~v129(constB46, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB46, bitIndex1) | (~v129(constB46, bitIndex1)) | (~v100(constB46)))),
% 24.66/16.45 inference(transitivity,[status(thm)],[12344, 12342])).
% 24.66/16.45 tff(12346,plain,
% 24.66/16.45 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB46, bitIndex1) | (~v100(constB46)) | (~v129(constB46, bitIndex1)))),
% 24.66/16.45 inference(quant_inst,[status(thm)],[])).
% 24.66/16.45 tff(12347,plain,
% 24.66/16.45 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB46, bitIndex1) | (~v129(constB46, bitIndex1)) | (~v100(constB46))),
% 24.66/16.45 inference(modus_ponens,[status(thm)],[12346, 12345])).
% 24.66/16.45 tff(12348,plain,
% 24.66/16.45 (v90(constB46, bitIndex1) | (~v100(constB46))),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12347, 1583, 12341])).
% 24.66/16.45 tff(12349,plain,
% 24.66/16.45 (v90(constB46, bitIndex1)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12348, 12327])).
% 24.66/16.45 tff(12350,plain,
% 24.66/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex1))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12351,plain,
% 24.66/16.45 (((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex1)) | v100(constB47) | v90(constB47, bitIndex1)) <=> ((~v90(constB46, bitIndex1)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex1))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12352,plain,
% 24.66/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex1)) | v100(constB47) | v90(constB47, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex1)))),
% 24.66/16.45 inference(monotonicity,[status(thm)],[12351])).
% 24.66/16.45 tff(12353,plain,
% 24.66/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex1)) | v100(constB47) | v90(constB47, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex1))),
% 24.66/16.45 inference(transitivity,[status(thm)],[12352, 12350])).
% 24.66/16.45 tff(12354,plain,
% 24.66/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex1)) | v100(constB47) | v90(constB47, bitIndex1))),
% 24.66/16.45 inference(quant_inst,[status(thm)],[])).
% 24.66/16.45 tff(12355,plain,
% 24.66/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex1)),
% 24.66/16.45 inference(modus_ponens,[status(thm)],[12354, 12353])).
% 24.66/16.45 tff(12356,plain,
% 24.66/16.45 ((~v90(constB46, bitIndex1)) | v100(constB47) | v90(constB47, bitIndex1)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12355, 1601, 8073])).
% 24.66/16.45 tff(12357,plain,
% 24.66/16.45 ((~v90(constB46, bitIndex1)) | v90(constB47, bitIndex1)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12356, 8085])).
% 24.66/16.45 tff(12358,plain,
% 24.66/16.45 (v90(constB47, bitIndex1)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12357, 12349])).
% 24.66/16.45 tff(12359,plain,
% 24.66/16.45 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB47)) | (~v90(constB47, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB47)) | (~v90(constB47, bitIndex1)))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12360,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB47)) | (~v90(constB47, bitIndex1)))),
% 24.66/16.45 inference(quant_inst,[status(thm)],[])).
% 24.66/16.45 tff(12361,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB47)) | (~v90(constB47, bitIndex1))),
% 24.66/16.45 inference(modus_ponens,[status(thm)],[12360, 12359])).
% 24.66/16.45 tff(12362,plain,
% 24.66/16.45 (~v119(constB47)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12361, 1751, 12358])).
% 24.66/16.45 tff(12363,plain,
% 24.66/16.45 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB47)) | (~v90(constB47, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB47)) | (~v90(constB47, bitIndex1)))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12364,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB47)) | (~v90(constB47, bitIndex1)))),
% 24.66/16.45 inference(quant_inst,[status(thm)],[])).
% 24.66/16.45 tff(12365,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB47)) | (~v90(constB47, bitIndex1))),
% 24.66/16.45 inference(modus_ponens,[status(thm)],[12364, 12363])).
% 24.66/16.45 tff(12366,plain,
% 24.66/16.45 (~v123(constB47)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12365, 1773, 12358])).
% 24.66/16.45 tff(12367,plain,
% 24.66/16.45 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB45)) | (~v130(constB45, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB45)) | (~v130(constB45, bitIndex0)))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12368,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB45)) | (~v130(constB45, bitIndex0)))),
% 24.66/16.45 inference(quant_inst,[status(thm)],[])).
% 24.66/16.45 tff(12369,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB45)) | (~v130(constB45, bitIndex0))),
% 24.66/16.45 inference(modus_ponens,[status(thm)],[12368, 12367])).
% 24.66/16.45 tff(12370,plain,
% 24.66/16.45 (~v130(constB45, bitIndex0)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12369, 1617, 12308])).
% 24.66/16.45 tff(12371,plain,
% 24.66/16.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB45, bitIndex0)) | v26(constB45) | v130(constB45, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB45, bitIndex0)) | v26(constB45) | v130(constB45, bitIndex0))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12372,plain,
% 24.66/16.45 ((v26(constB45) | v130(constB45, bitIndex0) | (~v127(constB45, bitIndex0))) <=> ((~v127(constB45, bitIndex0)) | v26(constB45) | v130(constB45, bitIndex0))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12373,plain,
% 24.66/16.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB45) | v130(constB45, bitIndex0) | (~v127(constB45, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB45, bitIndex0)) | v26(constB45) | v130(constB45, bitIndex0)))),
% 24.66/16.45 inference(monotonicity,[status(thm)],[12372])).
% 24.66/16.45 tff(12374,plain,
% 24.66/16.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB45) | v130(constB45, bitIndex0) | (~v127(constB45, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB45, bitIndex0)) | v26(constB45) | v130(constB45, bitIndex0))),
% 24.66/16.45 inference(transitivity,[status(thm)],[12373, 12371])).
% 24.66/16.45 tff(12375,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB45) | v130(constB45, bitIndex0) | (~v127(constB45, bitIndex0)))),
% 24.66/16.45 inference(quant_inst,[status(thm)],[])).
% 24.66/16.45 tff(12376,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB45, bitIndex0)) | v26(constB45) | v130(constB45, bitIndex0)),
% 24.66/16.45 inference(modus_ponens,[status(thm)],[12375, 12374])).
% 24.66/16.45 tff(12377,plain,
% 24.66/16.45 ((~v127(constB45, bitIndex0)) | v130(constB45, bitIndex0)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12376, 1341, 7975])).
% 24.66/16.45 tff(12378,plain,
% 24.66/16.45 (~v127(constB45, bitIndex0)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12377, 12370])).
% 24.66/16.45 tff(12379,plain,
% 24.66/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex0) | (~v129(constB46, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex0) | (~v129(constB46, bitIndex0)))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12380,plain,
% 24.66/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex0) | (~v129(constB46, bitIndex0)))),
% 24.66/16.45 inference(quant_inst,[status(thm)],[])).
% 24.66/16.45 tff(12381,plain,
% 24.66/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex0) | (~v129(constB46, bitIndex0))),
% 24.66/16.45 inference(modus_ponens,[status(thm)],[12380, 12379])).
% 24.66/16.45 tff(12382,plain,
% 24.66/16.45 (v127(constB45, bitIndex0) | (~v129(constB46, bitIndex0))),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12381, 1359, 7990])).
% 24.66/16.45 tff(12383,plain,
% 24.66/16.45 (~v129(constB46, bitIndex0)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12382, 12378])).
% 24.66/16.45 tff(12384,plain,
% 24.66/16.45 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB46, bitIndex0)) | v129(constB46, bitIndex0) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | v129(constB46, bitIndex0) | (~v100(constB46)))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12385,plain,
% 24.66/16.45 (((~v90(constB46, bitIndex0)) | (~v100(constB46)) | v129(constB46, bitIndex0)) <=> ((~v90(constB46, bitIndex0)) | v129(constB46, bitIndex0) | (~v100(constB46)))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12386,plain,
% 24.66/16.45 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB46, bitIndex0)) | (~v100(constB46)) | v129(constB46, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB46, bitIndex0)) | v129(constB46, bitIndex0) | (~v100(constB46))))),
% 24.66/16.45 inference(monotonicity,[status(thm)],[12385])).
% 24.66/16.45 tff(12387,plain,
% 24.66/16.45 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB46, bitIndex0)) | (~v100(constB46)) | v129(constB46, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | v129(constB46, bitIndex0) | (~v100(constB46)))),
% 24.66/16.45 inference(transitivity,[status(thm)],[12386, 12384])).
% 24.66/16.45 tff(12388,plain,
% 24.66/16.45 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB46, bitIndex0)) | (~v100(constB46)) | v129(constB46, bitIndex0))),
% 24.66/16.45 inference(quant_inst,[status(thm)],[])).
% 24.66/16.45 tff(12389,plain,
% 24.66/16.45 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | v129(constB46, bitIndex0) | (~v100(constB46))),
% 24.66/16.45 inference(modus_ponens,[status(thm)],[12388, 12387])).
% 24.66/16.45 tff(12390,plain,
% 24.66/16.45 ((~v90(constB46, bitIndex0)) | (~v100(constB46))),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12389, 1374, 12383])).
% 24.66/16.45 tff(12391,plain,
% 24.66/16.45 (~v90(constB46, bitIndex0)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12390, 12327])).
% 24.66/16.45 tff(12392,plain,
% 24.66/16.45 (~v90(constB47, bitIndex0)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12118, 12391])).
% 24.66/16.45 tff(12393,plain,
% 24.66/16.45 (v100(constB48)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12109, 12392, 12056])).
% 24.66/16.45 tff(12394,plain,
% 24.66/16.45 (v129(constB48, bitIndex1)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12076, 12393])).
% 24.66/16.45 tff(12395,plain,
% 24.66/16.45 (v127(constB47, bitIndex1)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12081, 12394])).
% 24.66/16.45 tff(12396,plain,
% 24.66/16.45 (v130(constB47, bitIndex1)),
% 24.66/16.45 inference(unit_resolution,[status(thm)],[12089, 12395])).
% 24.66/16.45 tff(12397,plain,
% 24.66/16.45 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB47)) | (~v90(constB47, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB47)) | (~v90(constB47, bitIndex1)))),
% 24.66/16.45 inference(rewrite,[status(thm)],[])).
% 24.66/16.45 tff(12398,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB47)) | (~v90(constB47, bitIndex1)))),
% 24.66/16.45 inference(quant_inst,[status(thm)],[])).
% 24.66/16.45 tff(12399,plain,
% 24.66/16.45 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB47)) | (~v90(constB47, bitIndex1))),
% 24.66/16.45 inference(modus_ponens,[status(thm)],[12398, 12397])).
% 24.66/16.45 tff(12400,plain,
% 24.66/16.45 (~v120(constB47)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12399, 1762, 12358])).
% 24.66/16.46 tff(12401,plain,
% 24.66/16.46 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB45)) | v130(constB45, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB45)) | v130(constB45, bitIndex2))),
% 24.66/16.46 inference(rewrite,[status(thm)],[])).
% 24.66/16.46 tff(12402,plain,
% 24.66/16.46 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB45)) | v130(constB45, bitIndex2))),
% 24.66/16.46 inference(quant_inst,[status(thm)],[])).
% 24.66/16.46 tff(12403,plain,
% 24.66/16.46 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB45)) | v130(constB45, bitIndex2)),
% 24.66/16.46 inference(modus_ponens,[status(thm)],[12402, 12401])).
% 24.66/16.46 tff(12404,plain,
% 24.66/16.46 (v130(constB45, bitIndex2)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12403, 1483, 12308])).
% 24.66/16.46 tff(12405,plain,
% 24.66/16.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB45) | (~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB45) | (~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2))),
% 24.66/16.46 inference(rewrite,[status(thm)],[])).
% 24.66/16.46 tff(12406,plain,
% 24.66/16.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB45) | (~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2))),
% 24.66/16.46 inference(quant_inst,[status(thm)],[])).
% 24.66/16.46 tff(12407,plain,
% 24.66/16.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB45) | (~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2)),
% 24.66/16.46 inference(modus_ponens,[status(thm)],[12406, 12405])).
% 24.66/16.46 tff(12408,plain,
% 24.66/16.46 ((~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12407, 1174, 7975])).
% 24.66/16.46 tff(12409,plain,
% 24.66/16.46 (v127(constB45, bitIndex2)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12408, 12404])).
% 24.66/16.46 tff(12410,plain,
% 24.66/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2))),
% 24.66/16.46 inference(rewrite,[status(thm)],[])).
% 24.66/16.46 tff(12411,plain,
% 24.66/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2))),
% 24.66/16.46 inference(quant_inst,[status(thm)],[])).
% 24.66/16.46 tff(12412,plain,
% 24.66/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2)),
% 24.66/16.46 inference(modus_ponens,[status(thm)],[12411, 12410])).
% 24.66/16.46 tff(12413,plain,
% 24.66/16.46 ((~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12412, 1189, 7990])).
% 24.66/16.46 tff(12414,plain,
% 24.66/16.46 (v129(constB46, bitIndex2)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12413, 12409])).
% 24.66/16.46 tff(12415,plain,
% 24.66/16.46 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46)))),
% 24.66/16.46 inference(rewrite,[status(thm)],[])).
% 24.66/16.46 tff(12416,plain,
% 24.66/16.46 ((v90(constB46, bitIndex2) | (~v100(constB46)) | (~v129(constB46, bitIndex2))) <=> (v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46)))),
% 24.66/16.46 inference(rewrite,[status(thm)],[])).
% 24.66/16.46 tff(12417,plain,
% 24.66/16.46 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v100(constB46)) | (~v129(constB46, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46))))),
% 24.66/16.46 inference(monotonicity,[status(thm)],[12416])).
% 24.66/16.46 tff(12418,plain,
% 24.66/16.46 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v100(constB46)) | (~v129(constB46, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46)))),
% 24.66/16.46 inference(transitivity,[status(thm)],[12417, 12415])).
% 24.66/16.46 tff(12419,plain,
% 24.66/16.46 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v100(constB46)) | (~v129(constB46, bitIndex2)))),
% 24.66/16.46 inference(quant_inst,[status(thm)],[])).
% 24.66/16.46 tff(12420,plain,
% 24.66/16.46 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46))),
% 24.66/16.46 inference(modus_ponens,[status(thm)],[12419, 12418])).
% 24.66/16.46 tff(12421,plain,
% 24.66/16.46 (v90(constB46, bitIndex2) | (~v100(constB46))),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12420, 1204, 12414])).
% 24.66/16.46 tff(12422,plain,
% 24.66/16.46 (v90(constB46, bitIndex2)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12421, 12327])).
% 24.66/16.46 tff(12423,plain,
% 24.66/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2))),
% 24.66/16.46 inference(rewrite,[status(thm)],[])).
% 24.66/16.46 tff(12424,plain,
% 24.66/16.46 (((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2)) <=> ((~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2))),
% 24.66/16.46 inference(rewrite,[status(thm)],[])).
% 24.66/16.46 tff(12425,plain,
% 24.66/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2)))),
% 24.66/16.46 inference(monotonicity,[status(thm)],[12424])).
% 24.66/16.46 tff(12426,plain,
% 24.66/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2))),
% 24.66/16.46 inference(transitivity,[status(thm)],[12425, 12423])).
% 24.66/16.46 tff(12427,plain,
% 24.66/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2))),
% 24.66/16.46 inference(quant_inst,[status(thm)],[])).
% 24.66/16.46 tff(12428,plain,
% 24.66/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2)),
% 24.66/16.46 inference(modus_ponens,[status(thm)],[12427, 12426])).
% 24.66/16.46 tff(12429,plain,
% 24.66/16.46 ((~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12428, 1240, 8073])).
% 24.66/16.46 tff(12430,plain,
% 24.66/16.46 ((~v90(constB46, bitIndex2)) | v90(constB47, bitIndex2)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12429, 8085])).
% 24.66/16.46 tff(12431,plain,
% 24.66/16.46 (v90(constB47, bitIndex2)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12430, 12422])).
% 24.66/16.46 tff(12432,plain,
% 24.66/16.46 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB47)) | (~v90(constB47, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB47)) | (~v90(constB47, bitIndex2)))),
% 24.66/16.46 inference(rewrite,[status(thm)],[])).
% 24.66/16.46 tff(12433,plain,
% 24.66/16.46 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB47)) | (~v90(constB47, bitIndex2)))),
% 24.66/16.46 inference(quant_inst,[status(thm)],[])).
% 24.66/16.46 tff(12434,plain,
% 24.66/16.46 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB47)) | (~v90(constB47, bitIndex2))),
% 24.66/16.46 inference(modus_ponens,[status(thm)],[12433, 12432])).
% 24.66/16.46 tff(12435,plain,
% 24.66/16.46 (~v122(constB47)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12434, 1740, 12431])).
% 24.66/16.46 tff(12436,plain,
% 24.66/16.46 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB47)) | (~v90(constB47, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB47)) | (~v90(constB47, bitIndex1)))),
% 24.66/16.46 inference(rewrite,[status(thm)],[])).
% 24.66/16.46 tff(12437,plain,
% 24.66/16.46 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB47)) | (~v90(constB47, bitIndex1)))),
% 24.66/16.46 inference(quant_inst,[status(thm)],[])).
% 24.66/16.46 tff(12438,plain,
% 24.66/16.46 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB47)) | (~v90(constB47, bitIndex1))),
% 24.66/16.46 inference(modus_ponens,[status(thm)],[12437, 12436])).
% 24.66/16.46 tff(12439,plain,
% 24.66/16.46 (~v124(constB47)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12438, 1784, 12358])).
% 24.66/16.46 tff(12440,plain,
% 24.66/16.46 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB47)) | (~v90(constB47, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB47)) | (~v90(constB47, bitIndex2)))),
% 24.66/16.46 inference(rewrite,[status(thm)],[])).
% 24.66/16.46 tff(12441,plain,
% 24.66/16.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB47)) | (~v90(constB47, bitIndex2)))),
% 24.66/16.46 inference(quant_inst,[status(thm)],[])).
% 24.66/16.46 tff(12442,plain,
% 24.66/16.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB47)) | (~v90(constB47, bitIndex2))),
% 24.66/16.46 inference(modus_ponens,[status(thm)],[12441, 12440])).
% 24.66/16.46 tff(12443,plain,
% 24.66/16.46 (~v121(constB47)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12442, 1729, 12431])).
% 24.66/16.46 tff(12444,plain,
% 24.66/16.46 ($false),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12098, 1887, 12443, 12439, 12435, 12400, 12396, 12366, 12362])).
% 24.66/16.46 tff(12445,plain,((~v123(constB45)) | (~v90(constB48, bitIndex1)) | (~v90(constB48, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 24.66/16.46 tff(12446,plain,
% 24.66/16.46 (~v123(constB45)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12445, 12069, 12056])).
% 24.66/16.46 tff(12447,plain,
% 24.66/16.46 (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v124(constB45) | (~v130(constB45, bitIndex1))),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[8128, 1887, 12446])).
% 24.66/16.46 tff(12448,plain,
% 24.66/16.46 ($false),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12447, 12307, 12303, 12291, 12299, 12295, 12287])).
% 24.66/16.46 tff(12449,plain,(v100(constB48) | v130(constB43, bitIndex0) | (~v90(constB48, bitIndex0)) | (~v90(constB48, bitIndex2)) | (~v90(constB48, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 24.66/16.46 tff(12450,plain,
% 24.66/16.46 (v130(constB43, bitIndex0)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12449, 12102, 11889, 12041, 12039])).
% 24.66/16.46 tff(12451,plain,
% 24.66/16.46 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB43)) | (~v130(constB43, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB43)) | (~v130(constB43, bitIndex0)))),
% 24.66/16.46 inference(rewrite,[status(thm)],[])).
% 24.66/16.46 tff(12452,plain,
% 24.66/16.46 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB43)) | (~v130(constB43, bitIndex0)))),
% 24.66/16.46 inference(quant_inst,[status(thm)],[])).
% 24.66/16.46 tff(12453,plain,
% 24.66/16.46 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB43)) | (~v130(constB43, bitIndex0))),
% 24.66/16.46 inference(modus_ponens,[status(thm)],[12452, 12451])).
% 24.66/16.46 tff(12454,plain,
% 24.66/16.46 (~v122(constB43)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12453, 2833, 12450])).
% 24.66/16.46 tff(12455,plain,
% 24.66/16.46 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB43)) | (~v130(constB43, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB43)) | (~v130(constB43, bitIndex0)))),
% 24.66/16.46 inference(rewrite,[status(thm)],[])).
% 24.66/16.46 tff(12456,plain,
% 24.66/16.46 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB43)) | (~v130(constB43, bitIndex0)))),
% 24.66/16.46 inference(quant_inst,[status(thm)],[])).
% 24.66/16.46 tff(12457,plain,
% 24.66/16.46 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB43)) | (~v130(constB43, bitIndex0))),
% 24.66/16.46 inference(modus_ponens,[status(thm)],[12456, 12455])).
% 24.66/16.46 tff(12458,plain,
% 24.66/16.46 (~v119(constB43)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12457, 1327, 12450])).
% 24.66/16.46 tff(12459,plain,
% 24.66/16.46 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB43)) | (~v130(constB43, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB43)) | (~v130(constB43, bitIndex0)))),
% 24.66/16.46 inference(rewrite,[status(thm)],[])).
% 24.66/16.46 tff(12460,plain,
% 24.66/16.46 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB43)) | (~v130(constB43, bitIndex0)))),
% 24.66/16.46 inference(quant_inst,[status(thm)],[])).
% 24.66/16.46 tff(12461,plain,
% 24.66/16.46 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB43)) | (~v130(constB43, bitIndex0))),
% 24.66/16.46 inference(modus_ponens,[status(thm)],[12460, 12459])).
% 24.66/16.46 tff(12462,plain,
% 24.66/16.46 (~v120(constB43)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12461, 2023, 12450])).
% 24.66/16.46 tff(12463,assumption,(v90(constB44, bitIndex0)), introduced(assumption)).
% 24.66/16.46 tff(12464,assumption,(~v100(constB44)), introduced(assumption)).
% 24.66/16.46 tff(12465,plain,
% 24.66/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB43, bitIndex0) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB43, bitIndex0) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex0)))),
% 24.66/16.46 inference(rewrite,[status(thm)],[])).
% 24.66/16.46 tff(12466,plain,
% 24.66/16.46 (((~nextState(constB43, constB44)) | v90(constB43, bitIndex0) | v100(constB44) | (~v90(constB44, bitIndex0))) <=> (v90(constB43, bitIndex0) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex0)))),
% 24.66/16.46 inference(rewrite,[status(thm)],[])).
% 24.66/16.46 tff(12467,plain,
% 24.66/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex0) | v100(constB44) | (~v90(constB44, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB43, bitIndex0) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex0))))),
% 24.66/16.46 inference(monotonicity,[status(thm)],[12466])).
% 24.66/16.46 tff(12468,plain,
% 24.66/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex0) | v100(constB44) | (~v90(constB44, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB43, bitIndex0) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex0)))),
% 24.66/16.46 inference(transitivity,[status(thm)],[12467, 12465])).
% 24.66/16.46 tff(12469,plain,
% 24.66/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex0) | v100(constB44) | (~v90(constB44, bitIndex0)))),
% 24.66/16.46 inference(quant_inst,[status(thm)],[])).
% 24.66/16.46 tff(12470,plain,
% 24.66/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB43, bitIndex0) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex0))),
% 24.66/16.46 inference(modus_ponens,[status(thm)],[12469, 12468])).
% 24.66/16.46 tff(12471,plain,
% 24.66/16.46 (v90(constB43, bitIndex0) | v100(constB44) | (~v90(constB44, bitIndex0))),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12470, 934, 7812])).
% 24.66/16.46 tff(12472,plain,
% 24.66/16.46 (v90(constB43, bitIndex0)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12471, 12464, 12463])).
% 24.66/16.46 tff(12473,plain,
% 24.66/16.46 (v90(constB42, bitIndex0)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[7731, 12472])).
% 24.66/16.46 tff(12474,assumption,(v90(constB44, bitIndex1)), introduced(assumption)).
% 24.66/16.46 tff(12475,plain,
% 24.66/16.46 (v90(constB43, bitIndex1)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12272, 12464, 12474])).
% 24.66/16.46 tff(12476,plain,
% 24.66/16.46 (v90(constB42, bitIndex1)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[7765, 12475])).
% 24.66/16.46 tff(12477,assumption,(v90(constB44, bitIndex2)), introduced(assumption)).
% 24.66/16.46 tff(12478,plain,
% 24.66/16.46 (v90(constB43, bitIndex2)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12220, 12464, 12477])).
% 24.66/16.46 tff(12479,plain,
% 24.66/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2)))),
% 24.66/16.46 inference(rewrite,[status(thm)],[])).
% 24.66/16.46 tff(12480,plain,
% 24.66/16.46 (((~nextState(constB42, constB43)) | v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2))) <=> (v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2)))),
% 24.66/16.46 inference(rewrite,[status(thm)],[])).
% 24.66/16.46 tff(12481,plain,
% 24.66/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2))))),
% 24.66/16.46 inference(monotonicity,[status(thm)],[12480])).
% 24.66/16.46 tff(12482,plain,
% 24.66/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2)))),
% 24.66/16.46 inference(transitivity,[status(thm)],[12481, 12479])).
% 24.66/16.46 tff(12483,plain,
% 24.66/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2)))),
% 24.66/16.46 inference(quant_inst,[status(thm)],[])).
% 24.66/16.46 tff(12484,plain,
% 24.66/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2))),
% 24.66/16.46 inference(modus_ponens,[status(thm)],[12483, 12482])).
% 24.66/16.46 tff(12485,plain,
% 24.66/16.46 (v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2))),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12484, 892, 7677])).
% 24.66/16.46 tff(12486,plain,
% 24.66/16.46 (v90(constB42, bitIndex2) | (~v90(constB43, bitIndex2))),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12485, 7689])).
% 24.66/16.46 tff(12487,plain,
% 24.66/16.46 (v90(constB42, bitIndex2)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12486, 12478])).
% 24.66/16.46 tff(12488,assumption,(v100(constB42)), introduced(assumption)).
% 24.66/16.46 tff(12489,assumption,(v90(constB42, bitIndex2)), introduced(assumption)).
% 24.66/16.46 tff(12490,plain,
% 24.66/16.46 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42)))),
% 24.66/16.46 inference(rewrite,[status(thm)],[])).
% 24.66/16.46 tff(12491,plain,
% 24.66/16.46 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42)))),
% 24.66/16.46 inference(quant_inst,[status(thm)],[])).
% 24.66/16.46 tff(12492,plain,
% 24.66/16.46 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42))),
% 24.66/16.46 inference(modus_ponens,[status(thm)],[12491, 12490])).
% 24.66/16.46 tff(12493,plain,
% 24.66/16.46 (v129(constB42, bitIndex2) | (~v100(constB42))),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12492, 1845, 12489])).
% 24.66/16.46 tff(12494,plain,
% 24.66/16.46 (v129(constB42, bitIndex2)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12493, 12488])).
% 24.66/16.46 tff(12495,plain,
% 24.66/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB41, constB42)) | v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB41, constB42)) | v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2)))),
% 24.66/16.46 inference(rewrite,[status(thm)],[])).
% 24.66/16.46 tff(12496,plain,
% 24.66/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB41, constB42)) | v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2)))),
% 24.66/16.46 inference(quant_inst,[status(thm)],[])).
% 24.66/16.46 tff(12497,plain,
% 24.66/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB41, constB42)) | v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2))),
% 24.66/16.46 inference(modus_ponens,[status(thm)],[12496, 12495])).
% 24.66/16.46 tff(12498,plain,
% 24.66/16.46 (v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2))),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12497, 1830, 7618])).
% 24.66/16.46 tff(12499,plain,
% 24.66/16.46 (v127(constB41, bitIndex2)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12498, 12494])).
% 24.66/16.46 tff(12500,plain,
% 24.66/16.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2))),
% 24.66/16.46 inference(rewrite,[status(thm)],[])).
% 24.66/16.46 tff(12501,plain,
% 24.66/16.46 ((v26(constB41) | v130(constB41, bitIndex2) | (~v127(constB41, bitIndex2))) <=> ((~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2))),
% 24.66/16.46 inference(rewrite,[status(thm)],[])).
% 24.66/16.46 tff(12502,plain,
% 24.66/16.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB41) | v130(constB41, bitIndex2) | (~v127(constB41, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2)))),
% 24.66/16.46 inference(monotonicity,[status(thm)],[12501])).
% 24.66/16.46 tff(12503,plain,
% 24.66/16.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB41) | v130(constB41, bitIndex2) | (~v127(constB41, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2))),
% 24.66/16.46 inference(transitivity,[status(thm)],[12502, 12500])).
% 24.66/16.46 tff(12504,plain,
% 24.66/16.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB41) | v130(constB41, bitIndex2) | (~v127(constB41, bitIndex2)))),
% 24.66/16.46 inference(quant_inst,[status(thm)],[])).
% 24.66/16.46 tff(12505,plain,
% 24.66/16.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2)),
% 24.66/16.46 inference(modus_ponens,[status(thm)],[12504, 12503])).
% 24.66/16.46 tff(12506,plain,
% 24.66/16.46 ((~v127(constB41, bitIndex2)) | v130(constB41, bitIndex2)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12505, 1812, 7603])).
% 24.66/16.46 tff(12507,plain,
% 24.66/16.46 (v130(constB41, bitIndex2)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12506, 12499])).
% 24.66/16.46 tff(12508,plain,
% 24.66/16.46 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB41)) | (~v130(constB41, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB41)) | (~v130(constB41, bitIndex2)))),
% 24.66/16.46 inference(rewrite,[status(thm)],[])).
% 24.66/16.46 tff(12509,plain,
% 24.66/16.46 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB41)) | (~v130(constB41, bitIndex2)))),
% 24.66/16.46 inference(quant_inst,[status(thm)],[])).
% 24.66/16.46 tff(12510,plain,
% 24.66/16.46 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB41)) | (~v130(constB41, bitIndex2))),
% 24.66/16.46 inference(modus_ponens,[status(thm)],[12509, 12508])).
% 24.66/16.46 tff(12511,plain,
% 24.66/16.46 (~v124(constB41)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12510, 4807, 12507])).
% 24.66/16.46 tff(12512,assumption,(v90(constB42, bitIndex0)), introduced(assumption)).
% 24.66/16.46 tff(12513,plain,
% 24.66/16.46 (v129(constB42, bitIndex0) | (~v100(constB42))),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[7721, 1374, 12512])).
% 24.66/16.46 tff(12514,plain,
% 24.66/16.46 (v129(constB42, bitIndex0)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12513, 12488])).
% 24.66/16.46 tff(12515,plain,
% 24.66/16.46 (v127(constB41, bitIndex0)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[7714, 12514])).
% 24.66/16.46 tff(12516,plain,
% 24.66/16.46 (v130(constB41, bitIndex0)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[7709, 12515])).
% 24.66/16.46 tff(12517,plain,
% 24.66/16.46 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB41)) | (~v130(constB41, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB41)) | (~v130(constB41, bitIndex0)))),
% 24.66/16.46 inference(rewrite,[status(thm)],[])).
% 24.66/16.46 tff(12518,plain,
% 24.66/16.46 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB41)) | (~v130(constB41, bitIndex0)))),
% 24.66/16.46 inference(quant_inst,[status(thm)],[])).
% 24.66/16.46 tff(12519,plain,
% 24.66/16.46 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB41)) | (~v130(constB41, bitIndex0))),
% 24.66/16.46 inference(modus_ponens,[status(thm)],[12518, 12517])).
% 24.66/16.46 tff(12520,plain,
% 24.66/16.46 (~v123(constB41)),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[12519, 1617, 12516])).
% 24.66/16.46 tff(12521,assumption,(v90(constB42, bitIndex1)), introduced(assumption)).
% 24.66/16.46 tff(12522,plain,
% 24.66/16.46 (v129(constB42, bitIndex1) | (~v100(constB42))),
% 24.66/16.46 inference(unit_resolution,[status(thm)],[7755, 1303, 12521])).
% 24.66/16.47 tff(12523,plain,
% 24.66/16.47 (v129(constB42, bitIndex1)),
% 24.66/16.47 inference(unit_resolution,[status(thm)],[12522, 12488])).
% 24.66/16.47 tff(12524,plain,
% 24.66/16.47 (v127(constB41, bitIndex1)),
% 24.66/16.47 inference(unit_resolution,[status(thm)],[7748, 12523])).
% 24.66/16.47 tff(12525,plain,
% 24.66/16.47 (v130(constB41, bitIndex1)),
% 24.66/16.47 inference(unit_resolution,[status(thm)],[7743, 12524])).
% 24.66/16.47 tff(12526,plain,
% 24.66/16.47 (~v122(constB41)),
% 24.66/16.47 inference(unit_resolution,[status(thm)],[7735, 2792, 12525])).
% 24.66/16.47 tff(12527,plain,
% 24.66/16.47 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB41)) | (~v130(constB41, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB41)) | (~v130(constB41, bitIndex2)))),
% 24.66/16.47 inference(rewrite,[status(thm)],[])).
% 24.66/16.47 tff(12528,plain,
% 24.66/16.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB41)) | (~v130(constB41, bitIndex2)))),
% 24.66/16.47 inference(quant_inst,[status(thm)],[])).
% 24.66/16.47 tff(12529,plain,
% 24.66/16.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB41)) | (~v130(constB41, bitIndex2))),
% 24.66/16.47 inference(modus_ponens,[status(thm)],[12528, 12527])).
% 24.66/16.47 tff(12530,plain,
% 24.66/16.47 (~v121(constB41)),
% 24.66/16.47 inference(unit_resolution,[status(thm)],[12529, 2406, 12507])).
% 24.66/16.47 tff(12531,plain,
% 24.66/16.47 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB41)) | (~v130(constB41, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB41)) | (~v130(constB41, bitIndex1)))),
% 24.66/16.47 inference(rewrite,[status(thm)],[])).
% 24.66/16.47 tff(12532,plain,
% 24.66/16.47 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB41)) | (~v130(constB41, bitIndex1)))),
% 24.66/16.47 inference(quant_inst,[status(thm)],[])).
% 24.66/16.47 tff(12533,plain,
% 24.66/16.47 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB41)) | (~v130(constB41, bitIndex1))),
% 24.66/16.47 inference(modus_ponens,[status(thm)],[12532, 12531])).
% 24.66/16.47 tff(12534,plain,
% 24.66/16.47 (~v119(constB41)),
% 24.66/16.47 inference(unit_resolution,[status(thm)],[12533, 1256, 12525])).
% 24.66/16.47 tff(12535,plain,
% 24.66/16.47 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB41)) | (~v130(constB41, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB41)) | (~v130(constB41, bitIndex2)))),
% 24.66/16.47 inference(rewrite,[status(thm)],[])).
% 24.66/16.47 tff(12536,plain,
% 24.66/16.47 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB41)) | (~v130(constB41, bitIndex2)))),
% 24.66/16.47 inference(quant_inst,[status(thm)],[])).
% 24.66/16.47 tff(12537,plain,
% 24.66/16.47 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB41)) | (~v130(constB41, bitIndex2))),
% 24.66/16.47 inference(modus_ponens,[status(thm)],[12536, 12535])).
% 24.66/16.47 tff(12538,plain,
% 24.66/16.47 (~v120(constB41)),
% 24.66/16.47 inference(unit_resolution,[status(thm)],[12537, 2231, 12507])).
% 24.66/16.47 tff(12539,plain,
% 24.66/16.47 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB41) | v120(constB41) | v121(constB41) | v122(constB41) | v123(constB41) | v124(constB41) | (~v130(constB41, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB41) | v120(constB41) | v121(constB41) | v122(constB41) | v123(constB41) | v124(constB41) | (~v130(constB41, bitIndex1)))),
% 24.66/16.47 inference(rewrite,[status(thm)],[])).
% 24.66/16.47 tff(12540,plain,
% 24.66/16.47 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB41) | v120(constB41) | v121(constB41) | v122(constB41) | v123(constB41) | v124(constB41) | (~v130(constB41, bitIndex1)))),
% 24.66/16.47 inference(quant_inst,[status(thm)],[])).
% 24.66/16.47 tff(12541,plain,
% 24.66/16.47 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB41) | v120(constB41) | v121(constB41) | v122(constB41) | v123(constB41) | v124(constB41) | (~v130(constB41, bitIndex1))),
% 24.66/16.47 inference(modus_ponens,[status(thm)],[12540, 12539])).
% 24.66/16.47 tff(12542,plain,
% 24.66/16.47 (v119(constB41) | v120(constB41) | v121(constB41) | v122(constB41) | v123(constB41) | v124(constB41)),
% 24.66/16.47 inference(unit_resolution,[status(thm)],[12541, 1887, 12525])).
% 24.66/16.47 tff(12543,plain,
% 24.66/16.47 ($false),
% 24.66/16.47 inference(unit_resolution,[status(thm)],[12542, 12538, 12534, 12530, 12526, 12520, 12511])).
% 24.66/16.47 tff(12544,plain,((~v100(constB42)) | (~v90(constB42, bitIndex0)) | (~v90(constB42, bitIndex2)) | (~v90(constB42, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 24.66/16.47 tff(12545,plain,
% 24.66/16.47 (~v100(constB42)),
% 24.66/16.47 inference(unit_resolution,[status(thm)],[12544, 12473, 12487, 12476])).
% 24.66/16.47 tff(12546,plain,
% 24.66/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB41, bitIndex0) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB41, bitIndex0) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex0)))),
% 24.66/16.47 inference(rewrite,[status(thm)],[])).
% 24.66/16.47 tff(12547,plain,
% 24.66/16.47 (((~nextState(constB41, constB42)) | v90(constB41, bitIndex0) | v100(constB42) | (~v90(constB42, bitIndex0))) <=> (v90(constB41, bitIndex0) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex0)))),
% 24.66/16.47 inference(rewrite,[status(thm)],[])).
% 24.66/16.47 tff(12548,plain,
% 24.66/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB41, constB42)) | v90(constB41, bitIndex0) | v100(constB42) | (~v90(constB42, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB41, bitIndex0) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex0))))),
% 24.66/16.47 inference(monotonicity,[status(thm)],[12547])).
% 24.66/16.47 tff(12549,plain,
% 24.66/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB41, constB42)) | v90(constB41, bitIndex0) | v100(constB42) | (~v90(constB42, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB41, bitIndex0) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex0)))),
% 24.66/16.47 inference(transitivity,[status(thm)],[12548, 12546])).
% 24.66/16.47 tff(12550,plain,
% 24.66/16.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB41, constB42)) | v90(constB41, bitIndex0) | v100(constB42) | (~v90(constB42, bitIndex0)))),
% 24.66/16.47 inference(quant_inst,[status(thm)],[])).
% 24.66/16.47 tff(12551,plain,
% 24.66/16.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB41, bitIndex0) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex0))),
% 24.66/16.47 inference(modus_ponens,[status(thm)],[12550, 12549])).
% 24.66/16.47 tff(12552,plain,
% 24.66/16.47 (v90(constB41, bitIndex0) | v100(constB42) | (~v90(constB42, bitIndex0))),
% 24.66/16.47 inference(unit_resolution,[status(thm)],[12551, 934, 7618])).
% 24.66/16.47 tff(12553,plain,
% 24.66/16.47 (v90(constB41, bitIndex0)),
% 24.66/16.47 inference(unit_resolution,[status(thm)],[12552, 12545, 12473])).
% 24.66/16.47 tff(12554,plain,
% 24.66/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0)))),
% 24.66/16.47 inference(rewrite,[status(thm)],[])).
% 24.66/16.47 tff(12555,plain,
% 24.66/16.47 (((~nextState(constB40, constB41)) | v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0))) <=> (v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0)))),
% 24.66/16.47 inference(rewrite,[status(thm)],[])).
% 24.66/16.47 tff(12556,plain,
% 24.66/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0))))),
% 24.66/16.47 inference(monotonicity,[status(thm)],[12555])).
% 24.66/16.47 tff(12557,plain,
% 24.66/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0)))),
% 24.66/16.47 inference(transitivity,[status(thm)],[12556, 12554])).
% 24.66/16.47 tff(12558,plain,
% 24.66/16.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0)))),
% 24.66/16.47 inference(quant_inst,[status(thm)],[])).
% 24.66/16.47 tff(12559,plain,
% 24.66/16.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0))),
% 24.66/16.47 inference(modus_ponens,[status(thm)],[12558, 12557])).
% 24.66/16.47 tff(12560,plain,
% 24.66/16.47 (v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0))),
% 24.66/16.47 inference(unit_resolution,[status(thm)],[12559, 934, 7488])).
% 24.66/16.47 tff(12561,plain,
% 24.66/16.47 (v90(constB40, bitIndex0) | (~v90(constB41, bitIndex0))),
% 24.66/16.47 inference(unit_resolution,[status(thm)],[12560, 7500])).
% 24.66/16.47 tff(12562,plain,
% 24.66/16.47 (v90(constB40, bitIndex0)),
% 24.66/16.47 inference(unit_resolution,[status(thm)],[12561, 12553])).
% 24.76/16.47 tff(12563,plain,
% 24.76/16.47 (v122(constB41)),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[7575, 2641, 7540, 7571, 7509])).
% 24.76/16.47 tff(12564,plain,
% 24.76/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB41, bitIndex2) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB41, bitIndex2) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex2)))),
% 24.76/16.47 inference(rewrite,[status(thm)],[])).
% 24.76/16.47 tff(12565,plain,
% 24.76/16.47 (((~nextState(constB41, constB42)) | v90(constB41, bitIndex2) | v100(constB42) | (~v90(constB42, bitIndex2))) <=> (v90(constB41, bitIndex2) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex2)))),
% 24.76/16.47 inference(rewrite,[status(thm)],[])).
% 24.76/16.47 tff(12566,plain,
% 24.76/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB41, constB42)) | v90(constB41, bitIndex2) | v100(constB42) | (~v90(constB42, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB41, bitIndex2) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex2))))),
% 24.76/16.47 inference(monotonicity,[status(thm)],[12565])).
% 24.76/16.47 tff(12567,plain,
% 24.76/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB41, constB42)) | v90(constB41, bitIndex2) | v100(constB42) | (~v90(constB42, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB41, bitIndex2) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex2)))),
% 24.76/16.47 inference(transitivity,[status(thm)],[12566, 12564])).
% 24.76/16.47 tff(12568,plain,
% 24.76/16.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB41, constB42)) | v90(constB41, bitIndex2) | v100(constB42) | (~v90(constB42, bitIndex2)))),
% 24.76/16.47 inference(quant_inst,[status(thm)],[])).
% 24.76/16.47 tff(12569,plain,
% 24.76/16.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB41, bitIndex2) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex2))),
% 24.76/16.47 inference(modus_ponens,[status(thm)],[12568, 12567])).
% 24.76/16.47 tff(12570,plain,
% 24.76/16.47 (v90(constB41, bitIndex2) | v100(constB42) | (~v90(constB42, bitIndex2))),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[12569, 892, 7618])).
% 24.76/16.47 tff(12571,plain,
% 24.76/16.47 (v100(constB42)),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[12570, 7509, 12489])).
% 24.76/16.47 tff(12572,plain,
% 24.76/16.47 (v129(constB42, bitIndex1)),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[12522, 12571])).
% 24.76/16.47 tff(12573,plain,
% 24.76/16.47 (v127(constB41, bitIndex1)),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[7748, 12572])).
% 24.76/16.47 tff(12574,plain,
% 24.76/16.47 (v130(constB41, bitIndex1)),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[7743, 12573])).
% 24.76/16.47 tff(12575,plain,
% 24.76/16.47 ($false),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[7735, 2792, 12574, 12563])).
% 24.76/16.47 tff(12576,plain,((~v121(constB39)) | (~v90(constB42, bitIndex1)) | (~v90(constB42, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 24.76/16.47 tff(12577,plain,
% 24.76/16.47 (~v121(constB39)),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[12576, 12476, 12487])).
% 24.76/16.47 tff(12578,assumption,(~v113(constB39)), introduced(assumption)).
% 24.76/16.47 tff(12579,plain,
% 24.76/16.47 (~v114(constB39)),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[7406, 1036, 12578])).
% 24.76/16.47 tff(12580,plain,
% 24.76/16.47 (~v115(constB39)),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[7399, 1022, 12579])).
% 24.76/16.47 tff(12581,plain,
% 24.76/16.47 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB39) | (~v123(constB39)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB39) | (~v123(constB39)))),
% 24.76/16.47 inference(rewrite,[status(thm)],[])).
% 24.76/16.47 tff(12582,plain,
% 24.76/16.47 (((~v123(constB39)) | v115(constB39)) <=> (v115(constB39) | (~v123(constB39)))),
% 24.76/16.47 inference(rewrite,[status(thm)],[])).
% 24.76/16.47 tff(12583,plain,
% 24.76/16.47 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB39)) | v115(constB39))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB39) | (~v123(constB39))))),
% 24.76/16.47 inference(monotonicity,[status(thm)],[12582])).
% 24.76/16.47 tff(12584,plain,
% 24.76/16.47 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB39)) | v115(constB39))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB39) | (~v123(constB39)))),
% 24.76/16.47 inference(transitivity,[status(thm)],[12583, 12581])).
% 24.76/16.47 tff(12585,plain,
% 24.76/16.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB39)) | v115(constB39))),
% 24.76/16.47 inference(quant_inst,[status(thm)],[])).
% 24.76/16.47 tff(12586,plain,
% 24.76/16.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB39) | (~v123(constB39))),
% 24.76/16.47 inference(modus_ponens,[status(thm)],[12585, 12584])).
% 24.76/16.47 tff(12587,plain,
% 24.76/16.47 (~v123(constB39)),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[12586, 1412, 12580])).
% 24.76/16.47 tff(12588,plain,
% 24.76/16.47 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB39)) | v113(constB39))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB39)) | v113(constB39))),
% 24.76/16.47 inference(rewrite,[status(thm)],[])).
% 24.76/16.47 tff(12589,plain,
% 24.76/16.47 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB39)) | v113(constB39))),
% 24.76/16.47 inference(quant_inst,[status(thm)],[])).
% 24.76/16.47 tff(12590,plain,
% 24.76/16.47 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB39)) | v113(constB39)),
% 24.76/16.47 inference(modus_ponens,[status(thm)],[12589, 12588])).
% 24.76/16.47 tff(12591,plain,
% 24.76/16.47 (~v125(constB39)),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[12590, 1672, 12578])).
% 24.76/16.47 tff(12592,plain,
% 24.76/16.47 (~v116(constB39)),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[7392, 1008, 12580])).
% 24.76/16.47 tff(12593,plain,
% 24.76/16.47 (~v117(constB39)),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[7388, 994, 12592])).
% 24.76/16.47 tff(12594,plain,
% 24.76/16.47 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB39) | (~v118(constB39)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB39) | (~v118(constB39)))),
% 24.76/16.47 inference(rewrite,[status(thm)],[])).
% 24.76/16.47 tff(12595,plain,
% 24.76/16.47 (((~v118(constB39)) | v117(constB39)) <=> (v117(constB39) | (~v118(constB39)))),
% 24.76/16.47 inference(rewrite,[status(thm)],[])).
% 24.76/16.47 tff(12596,plain,
% 24.76/16.47 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB39)) | v117(constB39))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB39) | (~v118(constB39))))),
% 24.76/16.47 inference(monotonicity,[status(thm)],[12595])).
% 24.76/16.47 tff(12597,plain,
% 24.76/16.47 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB39)) | v117(constB39))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB39) | (~v118(constB39)))),
% 24.76/16.47 inference(transitivity,[status(thm)],[12596, 12594])).
% 24.76/16.47 tff(12598,plain,
% 24.76/16.47 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB39)) | v117(constB39))),
% 24.76/16.47 inference(quant_inst,[status(thm)],[])).
% 24.76/16.47 tff(12599,plain,
% 24.76/16.47 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB39) | (~v118(constB39))),
% 24.76/16.47 inference(modus_ponens,[status(thm)],[12598, 12597])).
% 24.76/16.47 tff(12600,plain,
% 24.76/16.47 (~v118(constB39)),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[12599, 980, 12593])).
% 24.76/16.47 tff(12601,plain,
% 24.76/16.47 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB39) | (~v119(constB39)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB39) | (~v119(constB39)))),
% 24.76/16.47 inference(rewrite,[status(thm)],[])).
% 24.76/16.47 tff(12602,plain,
% 24.76/16.47 (((~v119(constB39)) | v118(constB39)) <=> (v118(constB39) | (~v119(constB39)))),
% 24.76/16.47 inference(rewrite,[status(thm)],[])).
% 24.76/16.47 tff(12603,plain,
% 24.76/16.47 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB39)) | v118(constB39))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB39) | (~v119(constB39))))),
% 24.76/16.47 inference(monotonicity,[status(thm)],[12602])).
% 24.76/16.47 tff(12604,plain,
% 24.76/16.47 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB39)) | v118(constB39))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB39) | (~v119(constB39)))),
% 24.76/16.47 inference(transitivity,[status(thm)],[12603, 12601])).
% 24.76/16.47 tff(12605,plain,
% 24.76/16.47 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB39)) | v118(constB39))),
% 24.76/16.47 inference(quant_inst,[status(thm)],[])).
% 24.76/16.47 tff(12606,plain,
% 24.76/16.47 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB39) | (~v119(constB39))),
% 24.76/16.47 inference(modus_ponens,[status(thm)],[12605, 12604])).
% 24.76/16.47 tff(12607,plain,
% 24.76/16.47 (~v119(constB39)),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[12606, 969, 12600])).
% 24.76/16.47 tff(12608,assumption,(~v90(constB39, bitIndex0)), introduced(assumption)).
% 24.76/16.47 tff(12609,assumption,(~v123(constB39)), introduced(assumption)).
% 24.76/16.47 tff(12610,assumption,(~v119(constB39)), introduced(assumption)).
% 24.76/16.47 tff(12611,assumption,(~v90(constB39, bitIndex1)), introduced(assumption)).
% 24.76/16.47 tff(12612,plain,
% 24.76/16.47 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB39, bitIndex0) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex2)) | v123(constB39))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB39, bitIndex0) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex2)) | v123(constB39))),
% 24.76/16.47 inference(rewrite,[status(thm)],[])).
% 24.76/16.47 tff(12613,plain,
% 24.76/16.47 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB39, bitIndex0) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex2)) | v123(constB39))),
% 24.76/16.47 inference(quant_inst,[status(thm)],[])).
% 24.76/16.47 tff(12614,plain,
% 24.76/16.47 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB39, bitIndex0) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex2)) | v123(constB39)),
% 24.76/16.47 inference(modus_ponens,[status(thm)],[12613, 12612])).
% 24.76/16.47 tff(12615,plain,
% 24.76/16.47 (v90(constB39, bitIndex0) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex2))),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[12614, 1401, 12609])).
% 24.76/16.47 tff(12616,plain,
% 24.76/16.47 (~v90(constB39, bitIndex2)),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[12615, 12611, 12608])).
% 24.76/16.47 tff(12617,plain,
% 24.76/16.47 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB39, bitIndex0) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v119(constB39))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB39, bitIndex0) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v119(constB39))),
% 24.76/16.47 inference(rewrite,[status(thm)],[])).
% 24.76/16.47 tff(12618,plain,
% 24.76/16.47 ((v90(constB39, bitIndex0) | v119(constB39) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2)) <=> (v90(constB39, bitIndex0) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v119(constB39))),
% 24.76/16.47 inference(rewrite,[status(thm)],[])).
% 24.76/16.47 tff(12619,plain,
% 24.76/16.47 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB39, bitIndex0) | v119(constB39) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB39, bitIndex0) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v119(constB39)))),
% 24.76/16.47 inference(monotonicity,[status(thm)],[12618])).
% 24.76/16.47 tff(12620,plain,
% 24.76/16.47 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB39, bitIndex0) | v119(constB39) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB39, bitIndex0) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v119(constB39))),
% 24.76/16.47 inference(transitivity,[status(thm)],[12619, 12617])).
% 24.76/16.47 tff(12621,plain,
% 24.76/16.47 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB39, bitIndex0) | v119(constB39) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2))),
% 24.76/16.47 inference(quant_inst,[status(thm)],[])).
% 24.76/16.47 tff(12622,plain,
% 24.76/16.47 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB39, bitIndex0) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v119(constB39)),
% 24.76/16.47 inference(modus_ponens,[status(thm)],[12621, 12620])).
% 24.76/16.47 tff(12623,plain,
% 24.76/16.47 (v90(constB39, bitIndex0) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2)),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[12622, 955, 12610])).
% 24.76/16.47 tff(12624,plain,
% 24.76/16.47 ($false),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[12623, 12616, 12611, 12608])).
% 24.76/16.47 tff(12625,plain,(v90(constB39, bitIndex1) | v90(constB39, bitIndex0) | v119(constB39) | v123(constB39)), inference(lemma,lemma(discharge,[]))).
% 24.76/16.47 tff(12626,plain,
% 24.76/16.47 (v90(constB39, bitIndex1)),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[12625, 12608, 12610, 12609])).
% 24.76/16.47 tff(12627,assumption,(~v125(constB39)), introduced(assumption)).
% 24.76/16.47 tff(12628,plain,
% 24.76/16.47 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)) | (~v90(constB39, bitIndex2)) | v125(constB39))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)) | (~v90(constB39, bitIndex2)) | v125(constB39))),
% 24.76/16.47 inference(rewrite,[status(thm)],[])).
% 24.76/16.47 tff(12629,plain,
% 24.76/16.47 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)) | (~v90(constB39, bitIndex2)) | v125(constB39))),
% 24.76/16.47 inference(quant_inst,[status(thm)],[])).
% 24.76/16.47 tff(12630,plain,
% 24.76/16.47 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)) | (~v90(constB39, bitIndex2)) | v125(constB39)),
% 24.76/16.47 inference(modus_ponens,[status(thm)],[12629, 12628])).
% 24.76/16.47 tff(12631,plain,
% 24.76/16.47 (v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)) | (~v90(constB39, bitIndex2))),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[12630, 1661, 12627])).
% 24.76/16.47 tff(12632,plain,
% 24.76/16.47 (~v90(constB39, bitIndex2)),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[12631, 12626, 12608])).
% 24.76/16.47 tff(12633,plain,
% 24.76/16.47 ($false),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[7342, 12632, 12626, 12608])).
% 24.76/16.47 tff(12634,plain,(v90(constB39, bitIndex0) | v121(constB39) | v125(constB39) | v119(constB39) | v123(constB39)), inference(lemma,lemma(discharge,[]))).
% 24.76/16.47 tff(12635,plain,
% 24.76/16.47 (v90(constB39, bitIndex0)),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[12634, 12607, 7128, 12591, 12587])).
% 24.76/16.47 tff(12636,plain,
% 24.76/16.47 (v90(constB38, bitIndex0)),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[7155, 12635])).
% 24.76/16.47 tff(12637,plain,
% 24.76/16.47 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB39) | (~v124(constB39)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB39) | (~v124(constB39)))),
% 24.76/16.47 inference(rewrite,[status(thm)],[])).
% 24.76/16.47 tff(12638,plain,
% 24.76/16.47 (((~v124(constB39)) | v114(constB39)) <=> (v114(constB39) | (~v124(constB39)))),
% 24.76/16.47 inference(rewrite,[status(thm)],[])).
% 24.76/16.47 tff(12639,plain,
% 24.76/16.47 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB39)) | v114(constB39))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB39) | (~v124(constB39))))),
% 24.76/16.47 inference(monotonicity,[status(thm)],[12638])).
% 24.76/16.47 tff(12640,plain,
% 24.76/16.47 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB39)) | v114(constB39))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB39) | (~v124(constB39)))),
% 24.76/16.47 inference(transitivity,[status(thm)],[12639, 12637])).
% 24.76/16.47 tff(12641,plain,
% 24.76/16.47 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB39)) | v114(constB39))),
% 24.76/16.47 inference(quant_inst,[status(thm)],[])).
% 24.76/16.47 tff(12642,plain,
% 24.76/16.47 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB39) | (~v124(constB39))),
% 24.76/16.47 inference(modus_ponens,[status(thm)],[12641, 12640])).
% 24.76/16.47 tff(12643,plain,
% 24.76/16.47 (~v124(constB39)),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[12642, 4721, 12579])).
% 24.76/16.47 tff(12644,plain,
% 24.76/16.47 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB39) | (~v120(constB39)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB39) | (~v120(constB39)))),
% 24.76/16.47 inference(rewrite,[status(thm)],[])).
% 24.76/16.47 tff(12645,plain,
% 24.76/16.47 (((~v120(constB39)) | v118(constB39)) <=> (v118(constB39) | (~v120(constB39)))),
% 24.76/16.47 inference(rewrite,[status(thm)],[])).
% 24.76/16.47 tff(12646,plain,
% 24.76/16.47 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB39)) | v118(constB39))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB39) | (~v120(constB39))))),
% 24.76/16.47 inference(monotonicity,[status(thm)],[12645])).
% 24.76/16.47 tff(12647,plain,
% 24.76/16.47 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB39)) | v118(constB39))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB39) | (~v120(constB39)))),
% 24.76/16.47 inference(transitivity,[status(thm)],[12646, 12644])).
% 24.76/16.47 tff(12648,plain,
% 24.76/16.47 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB39)) | v118(constB39))),
% 24.76/16.47 inference(quant_inst,[status(thm)],[])).
% 24.76/16.47 tff(12649,plain,
% 24.76/16.47 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB39) | (~v120(constB39))),
% 24.76/16.47 inference(modus_ponens,[status(thm)],[12648, 12647])).
% 24.76/16.47 tff(12650,plain,
% 24.76/16.47 (~v120(constB39)),
% 24.76/16.47 inference(unit_resolution,[status(thm)],[12649, 2210, 12600])).
% 24.76/16.47 tff(12651,assumption,(v90(constB39, bitIndex0)), introduced(assumption)).
% 24.76/16.47 tff(12652,assumption,(~v124(constB39)), introduced(assumption)).
% 24.76/16.47 tff(12653,plain,
% 24.76/16.47 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex2)) | v124(constB39))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex2)) | v124(constB39))),
% 24.76/16.47 inference(rewrite,[status(thm)],[])).
% 24.76/16.47 tff(12654,plain,
% 24.76/16.47 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex2)) | v124(constB39))),
% 24.76/16.47 inference(quant_inst,[status(thm)],[])).
% 24.76/16.47 tff(12655,plain,
% 24.76/16.47 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex2)) | v124(constB39)),
% 24.76/16.47 inference(modus_ponens,[status(thm)],[12654, 12653])).
% 24.76/16.47 tff(12656,plain,
% 24.76/16.47 ((~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex2))),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12655, 4735, 12652])).
% 24.76/16.48 tff(12657,plain,
% 24.76/16.48 (~v90(constB39, bitIndex2)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12656, 12611, 12651])).
% 24.76/16.48 tff(12658,assumption,(~v120(constB39)), introduced(assumption)).
% 24.76/16.48 tff(12659,plain,
% 24.76/16.48 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12660,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39))),
% 24.76/16.48 inference(quant_inst,[status(thm)],[])).
% 24.76/16.48 tff(12661,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39)),
% 24.76/16.48 inference(modus_ponens,[status(thm)],[12660, 12659])).
% 24.76/16.48 tff(12662,plain,
% 24.76/16.48 ((~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12661, 2012, 12658])).
% 24.76/16.48 tff(12663,plain,
% 24.76/16.48 ($false),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12662, 12657, 12611, 12651])).
% 24.76/16.48 tff(12664,plain,(v90(constB39, bitIndex1) | (~v90(constB39, bitIndex0)) | v120(constB39) | v124(constB39)), inference(lemma,lemma(discharge,[]))).
% 24.76/16.48 tff(12665,plain,
% 24.76/16.48 (v90(constB39, bitIndex1)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12664, 12635, 12650, 12643])).
% 24.76/16.48 tff(12666,plain,
% 24.76/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1)))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12667,plain,
% 24.76/16.48 (((~nextState(constB38, constB39)) | v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1))) <=> (v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1)))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12668,plain,
% 24.76/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1))))),
% 24.76/16.48 inference(monotonicity,[status(thm)],[12667])).
% 24.76/16.48 tff(12669,plain,
% 24.76/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1)))),
% 24.76/16.48 inference(transitivity,[status(thm)],[12668, 12666])).
% 24.76/16.48 tff(12670,plain,
% 24.76/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1)))),
% 24.76/16.48 inference(quant_inst,[status(thm)],[])).
% 24.76/16.48 tff(12671,plain,
% 24.76/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1))),
% 24.76/16.48 inference(modus_ponens,[status(thm)],[12670, 12669])).
% 24.76/16.48 tff(12672,plain,
% 24.76/16.48 (v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1))),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12671, 913, 7135])).
% 24.76/16.48 tff(12673,plain,
% 24.76/16.48 (v90(constB38, bitIndex1) | (~v90(constB39, bitIndex1))),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12672, 7147])).
% 24.76/16.48 tff(12674,plain,
% 24.76/16.48 (v90(constB38, bitIndex1)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12673, 12665])).
% 24.76/16.48 tff(12675,plain,
% 24.76/16.48 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB39)) | v116(constB39))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB39)) | v116(constB39))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12676,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB39)) | v116(constB39))),
% 24.76/16.48 inference(quant_inst,[status(thm)],[])).
% 24.76/16.48 tff(12677,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB39)) | v116(constB39)),
% 24.76/16.48 inference(modus_ponens,[status(thm)],[12676, 12675])).
% 24.76/16.48 tff(12678,plain,
% 24.76/16.48 (~v122(constB39)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12677, 2652, 12592])).
% 24.76/16.48 tff(12679,plain,
% 24.76/16.48 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB39, bitIndex0)) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex2) | v122(constB39))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB39, bitIndex0)) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex2) | v122(constB39))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12680,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB39, bitIndex0)) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex2) | v122(constB39))),
% 24.76/16.48 inference(quant_inst,[status(thm)],[])).
% 24.76/16.48 tff(12681,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB39, bitIndex0)) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex2) | v122(constB39)),
% 24.76/16.48 inference(modus_ponens,[status(thm)],[12680, 12679])).
% 24.76/16.48 tff(12682,plain,
% 24.76/16.48 ((~v90(constB39, bitIndex0)) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex2)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12681, 2641, 12678])).
% 24.76/16.48 tff(12683,plain,
% 24.76/16.48 (v90(constB39, bitIndex2)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12682, 12665, 12635])).
% 24.76/16.48 tff(12684,plain,
% 24.76/16.48 (v90(constB38, bitIndex2)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[7351, 12683])).
% 24.76/16.48 tff(12685,assumption,(v90(constB38, bitIndex2)), introduced(assumption)).
% 24.76/16.48 tff(12686,plain,
% 24.76/16.48 (v129(constB38, bitIndex2) | (~v100(constB38))),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[7124, 1845, 12685])).
% 24.76/16.48 tff(12687,plain,
% 24.76/16.48 (v129(constB38, bitIndex2)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12686, 7164])).
% 24.76/16.48 tff(12688,plain,
% 24.76/16.48 (v127(constB37, bitIndex2)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[7120, 12687])).
% 24.76/16.48 tff(12689,plain,
% 24.76/16.48 (v130(constB37, bitIndex2)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[7115, 12688])).
% 24.76/16.48 tff(12690,plain,
% 24.76/16.48 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB37)) | (~v130(constB37, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB37)) | (~v130(constB37, bitIndex2)))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12691,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB37)) | (~v130(constB37, bitIndex2)))),
% 24.76/16.48 inference(quant_inst,[status(thm)],[])).
% 24.76/16.48 tff(12692,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB37)) | (~v130(constB37, bitIndex2))),
% 24.76/16.48 inference(modus_ponens,[status(thm)],[12691, 12690])).
% 24.76/16.48 tff(12693,plain,
% 24.76/16.48 (~v124(constB37)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12692, 4807, 12689])).
% 24.76/16.48 tff(12694,plain,
% 24.76/16.48 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB37)) | (~v130(constB37, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB37)) | (~v130(constB37, bitIndex2)))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12695,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB37)) | (~v130(constB37, bitIndex2)))),
% 24.76/16.48 inference(quant_inst,[status(thm)],[])).
% 24.76/16.48 tff(12696,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB37)) | (~v130(constB37, bitIndex2))),
% 24.76/16.48 inference(modus_ponens,[status(thm)],[12695, 12694])).
% 24.76/16.48 tff(12697,plain,
% 24.76/16.48 (~v121(constB37)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12696, 2406, 12689])).
% 24.76/16.48 tff(12698,assumption,(v90(constB38, bitIndex0)), introduced(assumption)).
% 24.76/16.48 tff(12699,plain,
% 24.76/16.48 (v129(constB38, bitIndex0) | (~v100(constB38))),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[7102, 1374, 12698])).
% 24.76/16.48 tff(12700,plain,
% 24.76/16.48 (v129(constB38, bitIndex0)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12699, 7164])).
% 24.76/16.48 tff(12701,plain,
% 24.76/16.48 (v127(constB37, bitIndex0)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[7095, 12700])).
% 24.76/16.48 tff(12702,plain,
% 24.76/16.48 (v130(constB37, bitIndex0)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[7090, 12701])).
% 24.76/16.48 tff(12703,plain,
% 24.76/16.48 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB37)) | (~v130(constB37, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB37)) | (~v130(constB37, bitIndex0)))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12704,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB37)) | (~v130(constB37, bitIndex0)))),
% 24.76/16.48 inference(quant_inst,[status(thm)],[])).
% 24.76/16.48 tff(12705,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB37)) | (~v130(constB37, bitIndex0))),
% 24.76/16.48 inference(modus_ponens,[status(thm)],[12704, 12703])).
% 24.76/16.48 tff(12706,plain,
% 24.76/16.48 (~v119(constB37)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12705, 1327, 12702])).
% 24.76/16.48 tff(12707,plain,
% 24.76/16.48 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB37)) | (~v130(constB37, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB37)) | (~v130(constB37, bitIndex0)))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12708,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB37)) | (~v130(constB37, bitIndex0)))),
% 24.76/16.48 inference(quant_inst,[status(thm)],[])).
% 24.76/16.48 tff(12709,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB37)) | (~v130(constB37, bitIndex0))),
% 24.76/16.48 inference(modus_ponens,[status(thm)],[12708, 12707])).
% 24.76/16.48 tff(12710,plain,
% 24.76/16.48 (~v122(constB37)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12709, 2833, 12702])).
% 24.76/16.48 tff(12711,plain,
% 24.76/16.48 (~v120(constB37)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[7074, 2023, 12702])).
% 24.76/16.48 tff(12712,plain,
% 24.76/16.48 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB37)) | (~v130(constB37, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB37)) | (~v130(constB37, bitIndex0)))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12713,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB37)) | (~v130(constB37, bitIndex0)))),
% 24.76/16.48 inference(quant_inst,[status(thm)],[])).
% 24.76/16.48 tff(12714,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB37)) | (~v130(constB37, bitIndex0))),
% 24.76/16.48 inference(modus_ponens,[status(thm)],[12713, 12712])).
% 24.76/16.48 tff(12715,plain,
% 24.76/16.48 (~v123(constB37)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12714, 1617, 12702])).
% 24.76/16.48 tff(12716,assumption,(v90(constB38, bitIndex1)), introduced(assumption)).
% 24.76/16.48 tff(12717,plain,
% 24.76/16.48 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38)))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12718,plain,
% 24.76/16.48 (((~v90(constB38, bitIndex1)) | (~v100(constB38)) | v129(constB38, bitIndex1)) <=> ((~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38)))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12719,plain,
% 24.76/16.48 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | (~v100(constB38)) | v129(constB38, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38))))),
% 24.76/16.48 inference(monotonicity,[status(thm)],[12718])).
% 24.76/16.48 tff(12720,plain,
% 24.76/16.48 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | (~v100(constB38)) | v129(constB38, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38)))),
% 24.76/16.48 inference(transitivity,[status(thm)],[12719, 12717])).
% 24.76/16.48 tff(12721,plain,
% 24.76/16.48 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | (~v100(constB38)) | v129(constB38, bitIndex1))),
% 24.76/16.48 inference(quant_inst,[status(thm)],[])).
% 24.76/16.48 tff(12722,plain,
% 24.76/16.48 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38))),
% 24.76/16.48 inference(modus_ponens,[status(thm)],[12721, 12720])).
% 24.76/16.48 tff(12723,plain,
% 24.76/16.48 (v129(constB38, bitIndex1) | (~v100(constB38))),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12722, 1303, 12716])).
% 24.76/16.48 tff(12724,plain,
% 24.76/16.48 (v129(constB38, bitIndex1)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12723, 7164])).
% 24.76/16.48 tff(12725,plain,
% 24.76/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1)))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12726,plain,
% 24.76/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1)))),
% 24.76/16.48 inference(quant_inst,[status(thm)],[])).
% 24.76/16.48 tff(12727,plain,
% 24.76/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1))),
% 24.76/16.48 inference(modus_ponens,[status(thm)],[12726, 12725])).
% 24.76/16.48 tff(12728,plain,
% 24.76/16.48 (v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1))),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12727, 1288, 7037])).
% 24.76/16.48 tff(12729,plain,
% 24.76/16.48 (v127(constB37, bitIndex1)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12728, 12724])).
% 24.76/16.48 tff(12730,plain,
% 24.76/16.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12731,plain,
% 24.76/16.48 ((v26(constB37) | v130(constB37, bitIndex1) | (~v127(constB37, bitIndex1))) <=> ((~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12732,plain,
% 24.76/16.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB37) | v130(constB37, bitIndex1) | (~v127(constB37, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1)))),
% 24.76/16.48 inference(monotonicity,[status(thm)],[12731])).
% 24.76/16.48 tff(12733,plain,
% 24.76/16.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB37) | v130(constB37, bitIndex1) | (~v127(constB37, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1))),
% 24.76/16.48 inference(transitivity,[status(thm)],[12732, 12730])).
% 24.76/16.48 tff(12734,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB37) | v130(constB37, bitIndex1) | (~v127(constB37, bitIndex1)))),
% 24.76/16.48 inference(quant_inst,[status(thm)],[])).
% 24.76/16.48 tff(12735,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1)),
% 24.76/16.48 inference(modus_ponens,[status(thm)],[12734, 12733])).
% 24.76/16.48 tff(12736,plain,
% 24.76/16.48 ((~v127(constB37, bitIndex1)) | v130(constB37, bitIndex1)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12735, 1270, 7022])).
% 24.76/16.48 tff(12737,plain,
% 24.76/16.48 (v130(constB37, bitIndex1)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12736, 12729])).
% 24.76/16.48 tff(12738,plain,
% 24.76/16.48 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex1)))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12739,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex1)))),
% 24.76/16.48 inference(quant_inst,[status(thm)],[])).
% 24.76/16.48 tff(12740,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex1))),
% 24.76/16.48 inference(modus_ponens,[status(thm)],[12739, 12738])).
% 24.76/16.48 tff(12741,plain,
% 24.76/16.48 (v121(constB37) | v124(constB37)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12740, 1887, 12737, 12715, 12711, 12710, 12706])).
% 24.76/16.48 tff(12742,plain,
% 24.76/16.48 ($false),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12741, 12697, 12693])).
% 24.76/16.48 tff(12743,plain,((~v100(constB38)) | (~v90(constB38, bitIndex2)) | (~v90(constB38, bitIndex1)) | (~v90(constB38, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 24.76/16.48 tff(12744,plain,
% 24.76/16.48 (~v100(constB38)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12743, 12684, 12674, 12636])).
% 24.76/16.48 tff(12745,plain,
% 24.76/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB37, bitIndex0) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB37, bitIndex0) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, bitIndex0)))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12746,plain,
% 24.76/16.48 (((~nextState(constB37, constB38)) | v90(constB37, bitIndex0) | v100(constB38) | (~v90(constB38, bitIndex0))) <=> (v90(constB37, bitIndex0) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, bitIndex0)))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12747,plain,
% 24.76/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB37, constB38)) | v90(constB37, bitIndex0) | v100(constB38) | (~v90(constB38, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB37, bitIndex0) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, bitIndex0))))),
% 24.76/16.48 inference(monotonicity,[status(thm)],[12746])).
% 24.76/16.48 tff(12748,plain,
% 24.76/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB37, constB38)) | v90(constB37, bitIndex0) | v100(constB38) | (~v90(constB38, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB37, bitIndex0) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, bitIndex0)))),
% 24.76/16.48 inference(transitivity,[status(thm)],[12747, 12745])).
% 24.76/16.48 tff(12749,plain,
% 24.76/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB37, constB38)) | v90(constB37, bitIndex0) | v100(constB38) | (~v90(constB38, bitIndex0)))),
% 24.76/16.48 inference(quant_inst,[status(thm)],[])).
% 24.76/16.48 tff(12750,plain,
% 24.76/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB37, bitIndex0) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, bitIndex0))),
% 24.76/16.48 inference(modus_ponens,[status(thm)],[12749, 12748])).
% 24.76/16.48 tff(12751,plain,
% 24.76/16.48 (v90(constB37, bitIndex0) | v100(constB38) | (~v90(constB38, bitIndex0))),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12750, 934, 7037])).
% 24.76/16.48 tff(12752,plain,
% 24.76/16.48 (v90(constB37, bitIndex0)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12751, 12744, 12636])).
% 24.76/16.48 tff(12753,plain,
% 24.76/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0)))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12754,plain,
% 24.76/16.48 (((~nextState(constB36, constB37)) | v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0))) <=> (v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0)))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12755,plain,
% 24.76/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0))))),
% 24.76/16.48 inference(monotonicity,[status(thm)],[12754])).
% 24.76/16.48 tff(12756,plain,
% 24.76/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0)))),
% 24.76/16.48 inference(transitivity,[status(thm)],[12755, 12753])).
% 24.76/16.48 tff(12757,plain,
% 24.76/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0)))),
% 24.76/16.48 inference(quant_inst,[status(thm)],[])).
% 24.76/16.48 tff(12758,plain,
% 24.76/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0))),
% 24.76/16.48 inference(modus_ponens,[status(thm)],[12757, 12756])).
% 24.76/16.48 tff(12759,plain,
% 24.76/16.48 (v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0))),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12758, 934, 6873])).
% 24.76/16.48 tff(12760,plain,
% 24.76/16.48 (v90(constB36, bitIndex0) | (~v90(constB37, bitIndex0))),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12759, 6885])).
% 24.76/16.48 tff(12761,plain,
% 24.76/16.48 (v90(constB36, bitIndex0)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12760, 12752])).
% 24.76/16.48 tff(12762,assumption,(v120(constB35)), introduced(assumption)).
% 24.76/16.48 tff(12763,plain,
% 24.76/16.48 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB35)) | v118(constB35))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB35)) | v118(constB35))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12764,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB35)) | v118(constB35))),
% 24.76/16.48 inference(quant_inst,[status(thm)],[])).
% 24.76/16.48 tff(12765,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB35)) | v118(constB35)),
% 24.76/16.48 inference(modus_ponens,[status(thm)],[12764, 12763])).
% 24.76/16.48 tff(12766,plain,
% 24.76/16.48 (v118(constB35)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12765, 2210, 12762])).
% 24.76/16.48 tff(12767,plain,
% 24.76/16.48 (v117(constB35)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[6569, 980, 12766])).
% 24.76/16.48 tff(12768,plain,
% 24.76/16.48 (v116(constB35)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[6576, 994, 12767])).
% 24.76/16.48 tff(12769,plain,
% 24.76/16.48 (v115(constB35)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[6640, 1008, 12768])).
% 24.76/16.48 tff(12770,plain,
% 24.76/16.48 (v114(constB35)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[6633, 1022, 12769])).
% 24.76/16.48 tff(12771,plain,
% 24.76/16.48 (v113(constB35)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[6626, 1036, 12770])).
% 24.76/16.48 tff(12772,plain,
% 24.76/16.48 (v112(constB35)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[6619, 12771])).
% 24.76/16.48 tff(12773,plain,
% 24.76/16.48 (v108(constB35)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[6614, 1062, 12772])).
% 24.76/16.48 tff(12774,plain,
% 24.76/16.48 (v110(constB36)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[6607, 12773])).
% 24.76/16.48 tff(12775,plain,
% 24.76/16.48 (v100(constB36)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[6599, 12774])).
% 24.76/16.48 tff(12776,plain,
% 24.76/16.48 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB35)) | (~v130(constB35, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB35)) | (~v130(constB35, bitIndex2)))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12777,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB35)) | (~v130(constB35, bitIndex2)))),
% 24.76/16.48 inference(quant_inst,[status(thm)],[])).
% 24.76/16.48 tff(12778,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB35)) | (~v130(constB35, bitIndex2))),
% 24.76/16.48 inference(modus_ponens,[status(thm)],[12777, 12776])).
% 24.76/16.48 tff(12779,plain,
% 24.76/16.48 (~v130(constB35, bitIndex2)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12778, 2231, 12762])).
% 24.76/16.48 tff(12780,plain,
% 24.76/16.48 (~v127(constB35, bitIndex2)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[6513, 12779])).
% 24.76/16.48 tff(12781,plain,
% 24.76/16.48 (~v129(constB36, bitIndex2)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[6521, 12780])).
% 24.76/16.48 tff(12782,plain,
% 24.76/16.48 ((~v90(constB36, bitIndex2)) | (~v100(constB36))),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[6865, 1845, 12781])).
% 24.76/16.48 tff(12783,plain,
% 24.76/16.48 (~v90(constB36, bitIndex2)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12782, 12775])).
% 24.76/16.48 tff(12784,plain,
% 24.76/16.48 (~v90(constB37, bitIndex2)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[6893, 12783])).
% 24.76/16.48 tff(12785,plain,
% 24.76/16.48 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB35)) | v130(constB35, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB35)) | v130(constB35, bitIndex1))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12786,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB35)) | v130(constB35, bitIndex1))),
% 24.76/16.48 inference(quant_inst,[status(thm)],[])).
% 24.76/16.48 tff(12787,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB35)) | v130(constB35, bitIndex1)),
% 24.76/16.48 inference(modus_ponens,[status(thm)],[12786, 12785])).
% 24.76/16.48 tff(12788,plain,
% 24.76/16.48 (v130(constB35, bitIndex1)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12787, 2034, 12762])).
% 24.76/16.48 tff(12789,plain,
% 24.76/16.48 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB35) | (~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB35) | (~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12790,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB35) | (~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1))),
% 24.76/16.48 inference(quant_inst,[status(thm)],[])).
% 24.76/16.48 tff(12791,plain,
% 24.76/16.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB35) | (~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1)),
% 24.76/16.48 inference(modus_ponens,[status(thm)],[12790, 12789])).
% 24.76/16.48 tff(12792,plain,
% 24.76/16.48 ((~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12791, 1553, 6506])).
% 24.76/16.48 tff(12793,plain,
% 24.76/16.48 (v127(constB35, bitIndex1)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12792, 12788])).
% 24.76/16.48 tff(12794,plain,
% 24.76/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12795,plain,
% 24.76/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1))),
% 24.76/16.48 inference(quant_inst,[status(thm)],[])).
% 24.76/16.48 tff(12796,plain,
% 24.76/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1)),
% 24.76/16.48 inference(modus_ponens,[status(thm)],[12795, 12794])).
% 24.76/16.48 tff(12797,plain,
% 24.76/16.48 ((~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12796, 1568, 6517])).
% 24.76/16.48 tff(12798,plain,
% 24.76/16.48 (v129(constB36, bitIndex1)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12797, 12793])).
% 24.76/16.48 tff(12799,plain,
% 24.76/16.48 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36)))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12800,plain,
% 24.76/16.48 ((v90(constB36, bitIndex1) | (~v100(constB36)) | (~v129(constB36, bitIndex1))) <=> (v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36)))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12801,plain,
% 24.76/16.48 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v100(constB36)) | (~v129(constB36, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36))))),
% 24.76/16.48 inference(monotonicity,[status(thm)],[12800])).
% 24.76/16.48 tff(12802,plain,
% 24.76/16.48 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v100(constB36)) | (~v129(constB36, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36)))),
% 24.76/16.48 inference(transitivity,[status(thm)],[12801, 12799])).
% 24.76/16.48 tff(12803,plain,
% 24.76/16.48 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v100(constB36)) | (~v129(constB36, bitIndex1)))),
% 24.76/16.48 inference(quant_inst,[status(thm)],[])).
% 24.76/16.48 tff(12804,plain,
% 24.76/16.48 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36))),
% 24.76/16.48 inference(modus_ponens,[status(thm)],[12803, 12802])).
% 24.76/16.48 tff(12805,plain,
% 24.76/16.48 (v90(constB36, bitIndex1) | (~v100(constB36))),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12804, 1583, 12798])).
% 24.76/16.48 tff(12806,plain,
% 24.76/16.48 (v90(constB36, bitIndex1)),
% 24.76/16.48 inference(unit_resolution,[status(thm)],[12805, 12775])).
% 24.76/16.48 tff(12807,plain,
% 24.76/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1))),
% 24.76/16.48 inference(rewrite,[status(thm)],[])).
% 24.76/16.48 tff(12808,plain,
% 24.76/16.48 (((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1)) <=> ((~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1))),
% 24.76/16.49 inference(rewrite,[status(thm)],[])).
% 24.76/16.49 tff(12809,plain,
% 24.76/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1)))),
% 24.76/16.49 inference(monotonicity,[status(thm)],[12808])).
% 24.76/16.49 tff(12810,plain,
% 24.76/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1))),
% 24.76/16.49 inference(transitivity,[status(thm)],[12809, 12807])).
% 24.76/16.49 tff(12811,plain,
% 24.76/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1))),
% 24.76/16.49 inference(quant_inst,[status(thm)],[])).
% 24.76/16.49 tff(12812,plain,
% 24.76/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1)),
% 24.76/16.49 inference(modus_ponens,[status(thm)],[12811, 12810])).
% 24.76/16.49 tff(12813,plain,
% 24.76/16.49 ((~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[12812, 1601, 6873])).
% 24.76/16.49 tff(12814,plain,
% 24.76/16.49 ((~v90(constB36, bitIndex1)) | v90(constB37, bitIndex1)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[12813, 6885])).
% 24.76/16.49 tff(12815,plain,
% 24.76/16.49 (v90(constB37, bitIndex1)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[12814, 12806])).
% 24.76/16.49 tff(12816,plain,
% 24.76/16.49 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB35)) | (~v130(constB35, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB35)) | (~v130(constB35, bitIndex0)))),
% 24.76/16.49 inference(rewrite,[status(thm)],[])).
% 24.76/16.49 tff(12817,plain,
% 24.76/16.49 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB35)) | (~v130(constB35, bitIndex0)))),
% 24.76/16.49 inference(quant_inst,[status(thm)],[])).
% 24.76/16.49 tff(12818,plain,
% 24.76/16.49 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB35)) | (~v130(constB35, bitIndex0))),
% 24.76/16.49 inference(modus_ponens,[status(thm)],[12817, 12816])).
% 24.76/16.49 tff(12819,plain,
% 24.76/16.49 (~v130(constB35, bitIndex0)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[12818, 2023, 12762])).
% 24.76/16.49 tff(12820,plain,
% 24.76/16.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0))),
% 24.76/16.49 inference(rewrite,[status(thm)],[])).
% 24.76/16.49 tff(12821,plain,
% 24.76/16.49 ((v26(constB35) | v130(constB35, bitIndex0) | (~v127(constB35, bitIndex0))) <=> ((~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0))),
% 24.76/16.49 inference(rewrite,[status(thm)],[])).
% 24.76/16.49 tff(12822,plain,
% 24.76/16.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB35) | v130(constB35, bitIndex0) | (~v127(constB35, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0)))),
% 24.76/16.49 inference(monotonicity,[status(thm)],[12821])).
% 24.76/16.49 tff(12823,plain,
% 24.76/16.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB35) | v130(constB35, bitIndex0) | (~v127(constB35, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0))),
% 24.76/16.49 inference(transitivity,[status(thm)],[12822, 12820])).
% 24.76/16.49 tff(12824,plain,
% 24.76/16.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB35) | v130(constB35, bitIndex0) | (~v127(constB35, bitIndex0)))),
% 24.76/16.49 inference(quant_inst,[status(thm)],[])).
% 24.76/16.49 tff(12825,plain,
% 24.76/16.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0)),
% 24.76/16.49 inference(modus_ponens,[status(thm)],[12824, 12823])).
% 24.76/16.49 tff(12826,plain,
% 24.76/16.49 ((~v127(constB35, bitIndex0)) | v130(constB35, bitIndex0)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[12825, 1341, 6506])).
% 24.76/16.49 tff(12827,plain,
% 24.76/16.49 (~v127(constB35, bitIndex0)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[12826, 12819])).
% 24.76/16.49 tff(12828,plain,
% 24.76/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB35, constB36)) | v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB35, constB36)) | v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0)))),
% 24.76/16.49 inference(rewrite,[status(thm)],[])).
% 24.76/16.49 tff(12829,plain,
% 24.76/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB35, constB36)) | v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0)))),
% 24.76/16.49 inference(quant_inst,[status(thm)],[])).
% 24.76/16.49 tff(12830,plain,
% 24.76/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB35, constB36)) | v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0))),
% 24.76/16.49 inference(modus_ponens,[status(thm)],[12829, 12828])).
% 24.76/16.49 tff(12831,plain,
% 24.76/16.49 (v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0))),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[12830, 1359, 6517])).
% 24.76/16.49 tff(12832,plain,
% 24.76/16.49 (~v129(constB36, bitIndex0)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[12831, 12827])).
% 24.76/16.49 tff(12833,plain,
% 24.76/16.49 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36)))),
% 24.76/16.49 inference(rewrite,[status(thm)],[])).
% 24.76/16.49 tff(12834,plain,
% 24.76/16.49 (((~v90(constB36, bitIndex0)) | (~v100(constB36)) | v129(constB36, bitIndex0)) <=> ((~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36)))),
% 24.76/16.49 inference(rewrite,[status(thm)],[])).
% 24.76/16.49 tff(12835,plain,
% 24.76/16.49 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | (~v100(constB36)) | v129(constB36, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36))))),
% 24.76/16.49 inference(monotonicity,[status(thm)],[12834])).
% 24.76/16.49 tff(12836,plain,
% 24.76/16.49 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | (~v100(constB36)) | v129(constB36, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36)))),
% 24.76/16.49 inference(transitivity,[status(thm)],[12835, 12833])).
% 24.76/16.49 tff(12837,plain,
% 24.76/16.49 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | (~v100(constB36)) | v129(constB36, bitIndex0))),
% 24.76/16.49 inference(quant_inst,[status(thm)],[])).
% 24.76/16.49 tff(12838,plain,
% 24.76/16.49 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36))),
% 24.76/16.49 inference(modus_ponens,[status(thm)],[12837, 12836])).
% 24.76/16.49 tff(12839,plain,
% 24.76/16.49 ((~v90(constB36, bitIndex0)) | (~v100(constB36))),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[12838, 1374, 12832])).
% 24.76/16.49 tff(12840,plain,
% 24.76/16.49 (~v90(constB36, bitIndex0)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[12839, 12775])).
% 24.76/16.49 tff(12841,plain,
% 24.76/16.49 (~v90(constB37, bitIndex0)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[12760, 12840])).
% 24.76/16.49 tff(12842,plain,
% 24.76/16.49 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex2) | v121(constB37))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex2) | v121(constB37))),
% 24.76/16.49 inference(rewrite,[status(thm)],[])).
% 24.76/16.49 tff(12843,plain,
% 24.76/16.49 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex2) | v121(constB37))),
% 24.76/16.49 inference(quant_inst,[status(thm)],[])).
% 24.76/16.49 tff(12844,plain,
% 24.76/16.49 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex2) | v121(constB37)),
% 24.76/16.49 inference(modus_ponens,[status(thm)],[12843, 12842])).
% 24.76/16.49 tff(12845,plain,
% 24.76/16.49 (v121(constB37)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[12844, 2145, 12841, 12815, 12784])).
% 24.76/16.49 tff(12846,plain,
% 24.76/16.49 (v100(constB38)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[12751, 12841, 12698])).
% 24.76/16.49 tff(12847,plain,
% 24.76/16.49 (v129(constB38, bitIndex2)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[12686, 12846])).
% 24.76/16.49 tff(12848,plain,
% 24.76/16.49 (v127(constB37, bitIndex2)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[7120, 12847])).
% 24.76/16.49 tff(12849,plain,
% 24.76/16.49 (v130(constB37, bitIndex2)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[7115, 12848])).
% 24.76/16.49 tff(12850,plain,
% 24.76/16.49 ($false),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[12696, 2406, 12849, 12845])).
% 24.76/16.49 tff(12851,plain,((~v120(constB35)) | (~v90(constB38, bitIndex2)) | (~v90(constB38, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 24.76/16.49 tff(12852,plain,
% 24.76/16.49 (~v120(constB35)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[12851, 12684, 12636])).
% 24.76/16.49 tff(12853,assumption,(v123(constB33)), introduced(assumption)).
% 24.76/16.49 tff(12854,plain,
% 24.76/16.49 (v115(constB33)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6406, 1412, 12853])).
% 24.76/16.49 tff(12855,plain,
% 24.76/16.49 (v114(constB33)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[5878, 1022, 12854])).
% 24.76/16.49 tff(12856,plain,
% 24.76/16.49 (v113(constB33)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[5871, 1036, 12855])).
% 24.76/16.49 tff(12857,plain,
% 24.76/16.49 (v112(constB33)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[5864, 12856])).
% 24.76/16.49 tff(12858,plain,
% 24.76/16.49 (v108(constB33)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[5859, 1062, 12857])).
% 24.76/16.49 tff(12859,plain,
% 24.76/16.49 (v110(constB34)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[5852, 12858])).
% 24.76/16.49 tff(12860,plain,
% 24.76/16.49 (v100(constB34)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[5844, 12859])).
% 24.76/16.49 tff(12861,plain,
% 24.76/16.49 (v130(constB33, bitIndex2)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[5803, 1483, 12853])).
% 24.76/16.49 tff(12862,plain,
% 24.76/16.49 (v127(constB33, bitIndex2)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[5812, 12861])).
% 24.76/16.49 tff(12863,plain,
% 24.76/16.49 (v129(constB34, bitIndex2)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[5820, 12862])).
% 24.76/16.49 tff(12864,plain,
% 24.76/16.49 (v90(constB34, bitIndex2) | (~v100(constB34))),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6414, 1204, 12863])).
% 24.76/16.49 tff(12865,plain,
% 24.76/16.49 (v90(constB34, bitIndex2)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[12864, 12860])).
% 24.76/16.49 tff(12866,plain,
% 24.76/16.49 (v90(constB35, bitIndex2)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6442, 12865])).
% 24.76/16.49 tff(12867,plain,
% 24.76/16.49 (~v121(constB35)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6446, 1729, 12866])).
% 24.76/16.49 tff(12868,plain,
% 24.76/16.49 (~v122(constB35)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6485, 1740, 12866])).
% 24.76/16.49 tff(12869,plain,
% 24.76/16.49 (v130(constB33, bitIndex1)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6450, 1539, 12853])).
% 24.76/16.49 tff(12870,plain,
% 24.76/16.49 (v127(constB33, bitIndex1)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6455, 12869])).
% 24.76/16.49 tff(12871,plain,
% 24.76/16.49 (v129(constB34, bitIndex1)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6460, 12870])).
% 24.76/16.49 tff(12872,plain,
% 24.76/16.49 (v90(constB34, bitIndex1) | (~v100(constB34))),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6467, 1583, 12871])).
% 24.76/16.49 tff(12873,plain,
% 24.76/16.49 (v90(constB34, bitIndex1)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[12872, 12860])).
% 24.76/16.49 tff(12874,plain,
% 24.76/16.49 (v90(constB35, bitIndex1)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6477, 12873])).
% 24.76/16.49 tff(12875,plain,
% 24.76/16.49 (~v119(constB35)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6481, 1751, 12874])).
% 24.76/16.49 tff(12876,plain,
% 24.76/16.49 (~v123(constB35)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6489, 1773, 12874])).
% 24.76/16.49 tff(12877,plain,
% 24.76/16.49 (~v124(constB35)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6493, 1784, 12874])).
% 24.76/16.49 tff(12878,plain,
% 24.76/16.49 (~v120(constB35)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6497, 1762, 12874])).
% 24.76/16.49 tff(12879,plain,
% 24.76/16.49 (~v130(constB35, bitIndex1)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6897, 1887, 12878, 12877, 12876, 12875, 12868, 12867])).
% 24.76/16.49 tff(12880,plain,
% 24.76/16.49 (~v127(constB35, bitIndex1)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6905, 12879])).
% 24.76/16.49 tff(12881,plain,
% 24.76/16.49 (~v129(constB36, bitIndex1)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6910, 12880])).
% 24.76/16.49 tff(12882,plain,
% 24.76/16.49 (~v130(constB33, bitIndex0)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6821, 1617, 12853])).
% 24.76/16.49 tff(12883,plain,
% 24.76/16.49 (~v127(constB33, bitIndex0)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6805, 12882])).
% 24.76/16.49 tff(12884,plain,
% 24.76/16.49 (~v129(constB34, bitIndex0)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6797, 12883])).
% 24.76/16.49 tff(12885,plain,
% 24.76/16.49 ((~v90(constB34, bitIndex0)) | (~v100(constB34))),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6791, 1374, 12884])).
% 24.76/16.49 tff(12886,plain,
% 24.76/16.49 (~v90(constB34, bitIndex0)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[12885, 12860])).
% 24.76/16.49 tff(12887,plain,
% 24.76/16.49 (~v90(constB35, bitIndex0)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6748, 12886])).
% 24.76/16.49 tff(12888,plain,
% 24.76/16.49 (v130(constB35, bitIndex0)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6931, 1931, 12878, 12877, 12876, 12875, 12868, 12867])).
% 24.76/16.49 tff(12889,plain,
% 24.76/16.49 (v125(constB35)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6680, 1661, 12887, 12874, 12866])).
% 24.76/16.49 tff(12890,plain,
% 24.76/16.49 (v113(constB35)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6676, 1672, 12889])).
% 24.76/16.49 tff(12891,plain,
% 24.76/16.49 (v90(constB36, bitIndex0)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6968, 12890, 12888])).
% 24.76/16.49 tff(12892,plain,
% 24.76/16.49 (v100(constB36)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6702, 12891, 12887])).
% 24.76/16.49 tff(12893,plain,
% 24.76/16.49 (~v90(constB36, bitIndex1)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6917, 1303, 12892, 12881])).
% 24.76/16.49 tff(12894,plain,
% 24.76/16.49 (~v90(constB37, bitIndex1)),
% 24.76/16.49 inference(unit_resolution,[status(thm)],[6927, 12893])).
% 24.78/16.49 tff(12895,plain,
% 24.78/16.49 (~v130(constB35, bitIndex2)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[6501, 1798, 12878, 12877, 12876, 12875, 12868, 12867])).
% 24.78/16.49 tff(12896,plain,
% 24.78/16.49 (~v127(constB35, bitIndex2)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[6513, 12895])).
% 24.78/16.49 tff(12897,plain,
% 24.78/16.49 (~v129(constB36, bitIndex2)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[6521, 12896])).
% 24.78/16.49 tff(12898,plain,
% 24.78/16.49 (~v90(constB36, bitIndex2)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[6865, 1845, 12892, 12897])).
% 24.78/16.49 tff(12899,plain,
% 24.78/16.49 (~v90(constB37, bitIndex2)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[6893, 12898])).
% 24.78/16.49 tff(12900,plain,
% 24.78/16.49 (v90(constB37, bitIndex0)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[6977, 12891])).
% 24.78/16.49 tff(12901,plain,
% 24.78/16.49 (v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v120(constB37)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[6981, 2012, 12900])).
% 24.78/16.49 tff(12902,plain,
% 24.78/16.49 (v120(constB37)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12901, 12899, 12894])).
% 24.78/16.49 tff(12903,plain,
% 24.78/16.49 (v100(constB38)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[7360, 12894, 12716])).
% 24.78/16.49 tff(12904,plain,
% 24.78/16.49 (v129(constB38, bitIndex0)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12699, 12903])).
% 24.78/16.49 tff(12905,plain,
% 24.78/16.49 (v127(constB37, bitIndex0)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[7095, 12904])).
% 24.78/16.49 tff(12906,plain,
% 24.78/16.49 (v130(constB37, bitIndex0)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[7090, 12905])).
% 24.78/16.49 tff(12907,plain,
% 24.78/16.49 ($false),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[7074, 2023, 12906, 12902])).
% 24.78/16.49 tff(12908,plain,((~v123(constB33)) | (~v90(constB38, bitIndex0)) | (~v90(constB38, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 24.78/16.49 tff(12909,plain,
% 24.78/16.49 (~v123(constB33)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12908, 12636, 12674])).
% 24.78/16.49 tff(12910,plain,
% 24.78/16.49 (v100(constB34)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[6402, 12909])).
% 24.78/16.49 tff(12911,plain,
% 24.78/16.49 (v100(constB36)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[6861, 12910, 12852])).
% 24.78/16.49 tff(12912,plain,
% 24.78/16.49 ((~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12838, 1374, 12911])).
% 24.78/16.49 tff(12913,plain,
% 24.78/16.49 (v129(constB36, bitIndex0)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12912, 12761])).
% 24.78/16.49 tff(12914,plain,
% 24.78/16.49 (v127(constB35, bitIndex0)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12831, 12913])).
% 24.78/16.49 tff(12915,plain,
% 24.78/16.49 (v130(constB35, bitIndex0)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12826, 12914])).
% 24.78/16.49 tff(12916,plain,
% 24.78/16.49 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB35)) | (~v130(constB35, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB35)) | (~v130(constB35, bitIndex0)))),
% 24.78/16.49 inference(rewrite,[status(thm)],[])).
% 24.78/16.49 tff(12917,plain,
% 24.78/16.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB35)) | (~v130(constB35, bitIndex0)))),
% 24.78/16.49 inference(quant_inst,[status(thm)],[])).
% 24.78/16.49 tff(12918,plain,
% 24.78/16.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB35)) | (~v130(constB35, bitIndex0))),
% 24.78/16.49 inference(modus_ponens,[status(thm)],[12917, 12916])).
% 24.78/16.49 tff(12919,plain,
% 24.78/16.49 (~v123(constB35)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12918, 1617, 12915])).
% 24.78/16.49 tff(12920,plain,
% 24.78/16.49 (v90(constB37, bitIndex2)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[7312, 12744, 12684])).
% 24.78/16.49 tff(12921,plain,
% 24.78/16.49 (v90(constB36, bitIndex2)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[6893, 12920])).
% 24.78/16.49 tff(12922,plain,
% 24.78/16.49 ((~v90(constB36, bitIndex2)) | v129(constB36, bitIndex2)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[6865, 1845, 12911])).
% 24.78/16.49 tff(12923,plain,
% 24.78/16.49 (v129(constB36, bitIndex2)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12922, 12921])).
% 24.78/16.49 tff(12924,plain,
% 24.78/16.49 (v127(constB35, bitIndex2)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[6521, 12923])).
% 24.78/16.49 tff(12925,plain,
% 24.78/16.49 (v130(constB35, bitIndex2)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[6513, 12924])).
% 24.78/16.49 tff(12926,plain,
% 24.78/16.49 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB35)) | (~v130(constB35, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB35)) | (~v130(constB35, bitIndex2)))),
% 24.78/16.49 inference(rewrite,[status(thm)],[])).
% 24.78/16.49 tff(12927,plain,
% 24.78/16.49 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB35)) | (~v130(constB35, bitIndex2)))),
% 24.78/16.49 inference(quant_inst,[status(thm)],[])).
% 24.78/16.49 tff(12928,plain,
% 24.78/16.49 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB35)) | (~v130(constB35, bitIndex2))),
% 24.78/16.49 inference(modus_ponens,[status(thm)],[12927, 12926])).
% 24.78/16.49 tff(12929,plain,
% 24.78/16.49 (~v124(constB35)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12928, 4807, 12925])).
% 24.78/16.49 tff(12930,plain,
% 24.78/16.49 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB35)) | (~v130(constB35, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB35)) | (~v130(constB35, bitIndex2)))),
% 24.78/16.49 inference(rewrite,[status(thm)],[])).
% 24.78/16.49 tff(12931,plain,
% 24.78/16.49 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB35)) | (~v130(constB35, bitIndex2)))),
% 24.78/16.49 inference(quant_inst,[status(thm)],[])).
% 24.78/16.49 tff(12932,plain,
% 24.78/16.49 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB35)) | (~v130(constB35, bitIndex2))),
% 24.78/16.49 inference(modus_ponens,[status(thm)],[12931, 12930])).
% 24.78/16.49 tff(12933,plain,
% 24.78/16.49 (~v121(constB35)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12932, 2406, 12925])).
% 24.78/16.49 tff(12934,plain,
% 24.78/16.49 (v90(constB37, bitIndex1)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[7360, 12744, 12674])).
% 24.78/16.49 tff(12935,plain,
% 24.78/16.49 (v90(constB36, bitIndex1)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[6927, 12934])).
% 24.78/16.49 tff(12936,plain,
% 24.78/16.49 ((~v90(constB36, bitIndex1)) | v129(constB36, bitIndex1)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[6917, 1303, 12911])).
% 24.78/16.49 tff(12937,plain,
% 24.78/16.49 (v129(constB36, bitIndex1)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12936, 12935])).
% 24.78/16.49 tff(12938,plain,
% 24.78/16.49 (v127(constB35, bitIndex1)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[6910, 12937])).
% 24.78/16.49 tff(12939,plain,
% 24.78/16.49 (v130(constB35, bitIndex1)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[6905, 12938])).
% 24.78/16.49 tff(12940,plain,
% 24.78/16.49 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB35)) | (~v130(constB35, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB35)) | (~v130(constB35, bitIndex1)))),
% 24.78/16.49 inference(rewrite,[status(thm)],[])).
% 24.78/16.49 tff(12941,plain,
% 24.78/16.49 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB35)) | (~v130(constB35, bitIndex1)))),
% 24.78/16.49 inference(quant_inst,[status(thm)],[])).
% 24.78/16.49 tff(12942,plain,
% 24.78/16.49 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB35)) | (~v130(constB35, bitIndex1))),
% 24.78/16.49 inference(modus_ponens,[status(thm)],[12941, 12940])).
% 24.78/16.49 tff(12943,plain,
% 24.78/16.49 (~v122(constB35)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12942, 2792, 12939])).
% 24.78/16.49 tff(12944,plain,
% 24.78/16.49 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB35)) | (~v130(constB35, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB35)) | (~v130(constB35, bitIndex1)))),
% 24.78/16.49 inference(rewrite,[status(thm)],[])).
% 24.78/16.49 tff(12945,plain,
% 24.78/16.49 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB35)) | (~v130(constB35, bitIndex1)))),
% 24.78/16.49 inference(quant_inst,[status(thm)],[])).
% 24.78/16.49 tff(12946,plain,
% 24.78/16.49 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB35)) | (~v130(constB35, bitIndex1))),
% 24.78/16.49 inference(modus_ponens,[status(thm)],[12945, 12944])).
% 24.78/16.49 tff(12947,plain,
% 24.78/16.49 (~v119(constB35)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12946, 1256, 12939])).
% 24.78/16.49 tff(12948,plain,
% 24.78/16.49 (v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex1))),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[6897, 1887, 12852])).
% 24.78/16.49 tff(12949,plain,
% 24.78/16.49 ($false),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12948, 12947, 12943, 12939, 12933, 12929, 12919])).
% 24.78/16.49 tff(12950,plain,(v113(constB39) | v121(constB39)), inference(lemma,lemma(discharge,[]))).
% 24.78/16.49 tff(12951,plain,
% 24.78/16.49 (v113(constB39)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12950, 12577])).
% 24.78/16.49 tff(12952,plain,
% 24.78/16.49 (v112(constB39)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[7415, 12951])).
% 24.78/16.49 tff(12953,plain,
% 24.78/16.49 (v108(constB39)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[7422, 1062, 12952])).
% 24.78/16.49 tff(12954,plain,
% 24.78/16.49 (v110(constB40)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[7433, 12953])).
% 24.78/16.49 tff(12955,plain,
% 24.78/16.49 (v100(constB40)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[7459, 12954])).
% 24.78/16.49 tff(12956,plain,
% 24.78/16.49 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40)))),
% 24.78/16.49 inference(rewrite,[status(thm)],[])).
% 24.78/16.49 tff(12957,plain,
% 24.78/16.49 (((~v90(constB40, bitIndex0)) | (~v100(constB40)) | v129(constB40, bitIndex0)) <=> ((~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40)))),
% 24.78/16.49 inference(rewrite,[status(thm)],[])).
% 24.78/16.49 tff(12958,plain,
% 24.78/16.49 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | (~v100(constB40)) | v129(constB40, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40))))),
% 24.78/16.49 inference(monotonicity,[status(thm)],[12957])).
% 24.78/16.49 tff(12959,plain,
% 24.78/16.49 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | (~v100(constB40)) | v129(constB40, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40)))),
% 24.78/16.49 inference(transitivity,[status(thm)],[12958, 12956])).
% 24.78/16.49 tff(12960,plain,
% 24.78/16.49 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | (~v100(constB40)) | v129(constB40, bitIndex0))),
% 24.78/16.49 inference(quant_inst,[status(thm)],[])).
% 24.78/16.49 tff(12961,plain,
% 24.78/16.49 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40))),
% 24.78/16.49 inference(modus_ponens,[status(thm)],[12960, 12959])).
% 24.78/16.49 tff(12962,plain,
% 24.78/16.49 ((~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12961, 1374, 12955])).
% 24.78/16.49 tff(12963,plain,
% 24.78/16.49 (v129(constB40, bitIndex0)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12962, 12562])).
% 24.78/16.49 tff(12964,plain,
% 24.78/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0)))),
% 24.78/16.49 inference(rewrite,[status(thm)],[])).
% 24.78/16.49 tff(12965,plain,
% 24.78/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0)))),
% 24.78/16.49 inference(quant_inst,[status(thm)],[])).
% 24.78/16.49 tff(12966,plain,
% 24.78/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0))),
% 24.78/16.49 inference(modus_ponens,[status(thm)],[12965, 12964])).
% 24.78/16.49 tff(12967,plain,
% 24.78/16.49 (v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0))),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12966, 1359, 7426])).
% 24.78/16.49 tff(12968,plain,
% 24.78/16.49 (v127(constB39, bitIndex0)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12967, 12963])).
% 24.78/16.49 tff(12969,plain,
% 24.78/16.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0))),
% 24.78/16.49 inference(rewrite,[status(thm)],[])).
% 24.78/16.49 tff(12970,plain,
% 24.78/16.49 ((v26(constB39) | v130(constB39, bitIndex0) | (~v127(constB39, bitIndex0))) <=> ((~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0))),
% 24.78/16.49 inference(rewrite,[status(thm)],[])).
% 24.78/16.49 tff(12971,plain,
% 24.78/16.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB39) | v130(constB39, bitIndex0) | (~v127(constB39, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0)))),
% 24.78/16.49 inference(monotonicity,[status(thm)],[12970])).
% 24.78/16.49 tff(12972,plain,
% 24.78/16.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB39) | v130(constB39, bitIndex0) | (~v127(constB39, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0))),
% 24.78/16.49 inference(transitivity,[status(thm)],[12971, 12969])).
% 24.78/16.49 tff(12973,plain,
% 24.78/16.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB39) | v130(constB39, bitIndex0) | (~v127(constB39, bitIndex0)))),
% 24.78/16.49 inference(quant_inst,[status(thm)],[])).
% 24.78/16.49 tff(12974,plain,
% 24.78/16.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0)),
% 24.78/16.49 inference(modus_ponens,[status(thm)],[12973, 12972])).
% 24.78/16.49 tff(12975,plain,
% 24.78/16.49 ((~v127(constB39, bitIndex0)) | v130(constB39, bitIndex0)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12974, 1341, 7411])).
% 24.78/16.49 tff(12976,plain,
% 24.78/16.49 (v130(constB39, bitIndex0)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12975, 12968])).
% 24.78/16.49 tff(12977,plain,
% 24.78/16.49 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB39)) | (~v130(constB39, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB39)) | (~v130(constB39, bitIndex0)))),
% 24.78/16.49 inference(rewrite,[status(thm)],[])).
% 24.78/16.49 tff(12978,plain,
% 24.78/16.49 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB39)) | (~v130(constB39, bitIndex0)))),
% 24.78/16.49 inference(quant_inst,[status(thm)],[])).
% 24.78/16.49 tff(12979,plain,
% 24.78/16.49 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB39)) | (~v130(constB39, bitIndex0))),
% 24.78/16.49 inference(modus_ponens,[status(thm)],[12978, 12977])).
% 24.78/16.49 tff(12980,plain,
% 24.78/16.49 (~v122(constB39)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12979, 2833, 12976])).
% 24.78/16.49 tff(12981,plain,
% 24.78/16.49 (v90(constB41, bitIndex2)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12570, 12545, 12487])).
% 24.78/16.49 tff(12982,plain,
% 24.78/16.49 (v90(constB40, bitIndex2)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[7508, 12981])).
% 24.78/16.49 tff(12983,plain,
% 24.78/16.49 ((~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[7480, 1845, 12955])).
% 24.78/16.49 tff(12984,plain,
% 24.78/16.49 (v129(constB40, bitIndex2)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12983, 12982])).
% 24.78/16.49 tff(12985,plain,
% 24.78/16.49 (v127(constB39, bitIndex2)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[7476, 12984])).
% 24.78/16.49 tff(12986,plain,
% 24.78/16.49 (v130(constB39, bitIndex2)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[7471, 12985])).
% 24.78/16.49 tff(12987,plain,
% 24.78/16.49 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB39)) | (~v130(constB39, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB39)) | (~v130(constB39, bitIndex2)))),
% 24.78/16.49 inference(rewrite,[status(thm)],[])).
% 24.78/16.49 tff(12988,plain,
% 24.78/16.49 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB39)) | (~v130(constB39, bitIndex2)))),
% 24.78/16.49 inference(quant_inst,[status(thm)],[])).
% 24.78/16.49 tff(12989,plain,
% 24.78/16.49 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB39)) | (~v130(constB39, bitIndex2))),
% 24.78/16.49 inference(modus_ponens,[status(thm)],[12988, 12987])).
% 24.78/16.49 tff(12990,plain,
% 24.78/16.49 (~v124(constB39)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12989, 4807, 12986])).
% 24.78/16.49 tff(12991,plain,
% 24.78/16.49 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB39)) | (~v130(constB39, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB39)) | (~v130(constB39, bitIndex0)))),
% 24.78/16.49 inference(rewrite,[status(thm)],[])).
% 24.78/16.49 tff(12992,plain,
% 24.78/16.49 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB39)) | (~v130(constB39, bitIndex0)))),
% 24.78/16.49 inference(quant_inst,[status(thm)],[])).
% 24.78/16.49 tff(12993,plain,
% 24.78/16.49 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB39)) | (~v130(constB39, bitIndex0))),
% 24.78/16.49 inference(modus_ponens,[status(thm)],[12992, 12991])).
% 24.78/16.49 tff(12994,plain,
% 24.78/16.49 (~v120(constB39)),
% 24.78/16.49 inference(unit_resolution,[status(thm)],[12993, 2023, 12976])).
% 24.78/16.49 tff(12995,plain,
% 24.78/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB41, bitIndex1) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB41, bitIndex1) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex1)))),
% 24.78/16.50 inference(rewrite,[status(thm)],[])).
% 24.78/16.50 tff(12996,plain,
% 24.78/16.50 (((~nextState(constB41, constB42)) | v90(constB41, bitIndex1) | v100(constB42) | (~v90(constB42, bitIndex1))) <=> (v90(constB41, bitIndex1) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex1)))),
% 24.78/16.50 inference(rewrite,[status(thm)],[])).
% 24.78/16.50 tff(12997,plain,
% 24.78/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB41, constB42)) | v90(constB41, bitIndex1) | v100(constB42) | (~v90(constB42, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB41, bitIndex1) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex1))))),
% 24.78/16.50 inference(monotonicity,[status(thm)],[12996])).
% 24.78/16.50 tff(12998,plain,
% 24.78/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB41, constB42)) | v90(constB41, bitIndex1) | v100(constB42) | (~v90(constB42, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB41, bitIndex1) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex1)))),
% 24.78/16.50 inference(transitivity,[status(thm)],[12997, 12995])).
% 24.78/16.50 tff(12999,plain,
% 24.78/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB41, constB42)) | v90(constB41, bitIndex1) | v100(constB42) | (~v90(constB42, bitIndex1)))),
% 24.78/16.50 inference(quant_inst,[status(thm)],[])).
% 24.78/16.50 tff(13000,plain,
% 24.78/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB41, bitIndex1) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex1))),
% 24.78/16.50 inference(modus_ponens,[status(thm)],[12999, 12998])).
% 24.78/16.50 tff(13001,plain,
% 24.78/16.50 (v90(constB41, bitIndex1) | v100(constB42) | (~v90(constB42, bitIndex1))),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13000, 913, 7618])).
% 24.78/16.50 tff(13002,plain,
% 24.78/16.50 (v90(constB41, bitIndex1)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13001, 12545, 12476])).
% 24.78/16.50 tff(13003,plain,
% 24.78/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex1)))),
% 24.78/16.50 inference(rewrite,[status(thm)],[])).
% 24.78/16.50 tff(13004,plain,
% 24.78/16.50 (((~nextState(constB40, constB41)) | v90(constB40, bitIndex1) | v100(constB41) | (~v90(constB41, bitIndex1))) <=> (v90(constB40, bitIndex1) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex1)))),
% 24.78/16.50 inference(rewrite,[status(thm)],[])).
% 24.78/16.50 tff(13005,plain,
% 24.78/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex1) | v100(constB41) | (~v90(constB41, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex1))))),
% 24.78/16.50 inference(monotonicity,[status(thm)],[13004])).
% 24.78/16.50 tff(13006,plain,
% 24.78/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex1) | v100(constB41) | (~v90(constB41, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex1)))),
% 24.78/16.50 inference(transitivity,[status(thm)],[13005, 13003])).
% 24.78/16.50 tff(13007,plain,
% 24.78/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex1) | v100(constB41) | (~v90(constB41, bitIndex1)))),
% 24.78/16.50 inference(quant_inst,[status(thm)],[])).
% 24.78/16.50 tff(13008,plain,
% 24.78/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex1))),
% 24.78/16.50 inference(modus_ponens,[status(thm)],[13007, 13006])).
% 24.78/16.50 tff(13009,plain,
% 24.78/16.50 (v90(constB40, bitIndex1) | v100(constB41) | (~v90(constB41, bitIndex1))),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13008, 913, 7488])).
% 24.78/16.50 tff(13010,plain,
% 24.78/16.50 (v90(constB40, bitIndex1) | (~v90(constB41, bitIndex1))),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13009, 7500])).
% 24.78/16.50 tff(13011,plain,
% 24.78/16.50 (v90(constB40, bitIndex1)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13010, 13002])).
% 24.78/16.50 tff(13012,plain,
% 24.78/16.50 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB40, bitIndex1)) | v129(constB40, bitIndex1) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB40, bitIndex1)) | v129(constB40, bitIndex1) | (~v100(constB40)))),
% 24.78/16.50 inference(rewrite,[status(thm)],[])).
% 24.78/16.50 tff(13013,plain,
% 24.78/16.50 (((~v90(constB40, bitIndex1)) | (~v100(constB40)) | v129(constB40, bitIndex1)) <=> ((~v90(constB40, bitIndex1)) | v129(constB40, bitIndex1) | (~v100(constB40)))),
% 24.78/16.50 inference(rewrite,[status(thm)],[])).
% 24.78/16.50 tff(13014,plain,
% 24.78/16.50 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB40, bitIndex1)) | (~v100(constB40)) | v129(constB40, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB40, bitIndex1)) | v129(constB40, bitIndex1) | (~v100(constB40))))),
% 24.78/16.50 inference(monotonicity,[status(thm)],[13013])).
% 24.78/16.50 tff(13015,plain,
% 24.78/16.50 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB40, bitIndex1)) | (~v100(constB40)) | v129(constB40, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB40, bitIndex1)) | v129(constB40, bitIndex1) | (~v100(constB40)))),
% 24.78/16.50 inference(transitivity,[status(thm)],[13014, 13012])).
% 24.78/16.50 tff(13016,plain,
% 24.78/16.50 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB40, bitIndex1)) | (~v100(constB40)) | v129(constB40, bitIndex1))),
% 24.78/16.50 inference(quant_inst,[status(thm)],[])).
% 24.78/16.50 tff(13017,plain,
% 24.78/16.50 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB40, bitIndex1)) | v129(constB40, bitIndex1) | (~v100(constB40))),
% 24.78/16.50 inference(modus_ponens,[status(thm)],[13016, 13015])).
% 24.78/16.50 tff(13018,plain,
% 24.78/16.50 ((~v90(constB40, bitIndex1)) | v129(constB40, bitIndex1)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13017, 1303, 12955])).
% 24.78/16.50 tff(13019,plain,
% 24.78/16.50 (v129(constB40, bitIndex1)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13018, 13011])).
% 24.78/16.50 tff(13020,plain,
% 24.78/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex1) | (~v129(constB40, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex1) | (~v129(constB40, bitIndex1)))),
% 24.78/16.50 inference(rewrite,[status(thm)],[])).
% 24.78/16.50 tff(13021,plain,
% 24.78/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex1) | (~v129(constB40, bitIndex1)))),
% 24.78/16.50 inference(quant_inst,[status(thm)],[])).
% 24.78/16.50 tff(13022,plain,
% 24.78/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex1) | (~v129(constB40, bitIndex1))),
% 24.78/16.50 inference(modus_ponens,[status(thm)],[13021, 13020])).
% 24.78/16.50 tff(13023,plain,
% 24.78/16.50 (v127(constB39, bitIndex1) | (~v129(constB40, bitIndex1))),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13022, 1288, 7426])).
% 24.78/16.50 tff(13024,plain,
% 24.78/16.50 (v127(constB39, bitIndex1)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13023, 13019])).
% 24.78/16.50 tff(13025,plain,
% 24.78/16.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB39, bitIndex1)) | v26(constB39) | v130(constB39, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB39, bitIndex1)) | v26(constB39) | v130(constB39, bitIndex1))),
% 24.78/16.50 inference(rewrite,[status(thm)],[])).
% 24.78/16.50 tff(13026,plain,
% 24.78/16.50 ((v26(constB39) | v130(constB39, bitIndex1) | (~v127(constB39, bitIndex1))) <=> ((~v127(constB39, bitIndex1)) | v26(constB39) | v130(constB39, bitIndex1))),
% 24.78/16.50 inference(rewrite,[status(thm)],[])).
% 24.78/16.50 tff(13027,plain,
% 24.78/16.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB39) | v130(constB39, bitIndex1) | (~v127(constB39, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB39, bitIndex1)) | v26(constB39) | v130(constB39, bitIndex1)))),
% 24.78/16.50 inference(monotonicity,[status(thm)],[13026])).
% 24.78/16.50 tff(13028,plain,
% 24.78/16.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB39) | v130(constB39, bitIndex1) | (~v127(constB39, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB39, bitIndex1)) | v26(constB39) | v130(constB39, bitIndex1))),
% 24.78/16.50 inference(transitivity,[status(thm)],[13027, 13025])).
% 24.78/16.50 tff(13029,plain,
% 24.78/16.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB39) | v130(constB39, bitIndex1) | (~v127(constB39, bitIndex1)))),
% 24.78/16.50 inference(quant_inst,[status(thm)],[])).
% 24.78/16.50 tff(13030,plain,
% 24.78/16.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB39, bitIndex1)) | v26(constB39) | v130(constB39, bitIndex1)),
% 24.78/16.50 inference(modus_ponens,[status(thm)],[13029, 13028])).
% 24.78/16.50 tff(13031,plain,
% 24.78/16.50 ((~v127(constB39, bitIndex1)) | v130(constB39, bitIndex1)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13030, 1270, 7411])).
% 24.78/16.50 tff(13032,plain,
% 24.78/16.50 (v130(constB39, bitIndex1)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13031, 13024])).
% 24.78/16.50 tff(13033,plain,
% 24.78/16.50 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB39)) | (~v130(constB39, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB39)) | (~v130(constB39, bitIndex0)))),
% 24.78/16.50 inference(rewrite,[status(thm)],[])).
% 24.78/16.50 tff(13034,plain,
% 24.78/16.50 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB39)) | (~v130(constB39, bitIndex0)))),
% 24.78/16.50 inference(quant_inst,[status(thm)],[])).
% 24.78/16.50 tff(13035,plain,
% 24.78/16.50 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB39)) | (~v130(constB39, bitIndex0))),
% 24.78/16.50 inference(modus_ponens,[status(thm)],[13034, 13033])).
% 24.78/16.50 tff(13036,plain,
% 24.78/16.50 (~v123(constB39)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13035, 1617, 12976])).
% 24.78/16.50 tff(13037,plain,
% 24.78/16.50 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB39)) | (~v130(constB39, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB39)) | (~v130(constB39, bitIndex0)))),
% 24.78/16.50 inference(rewrite,[status(thm)],[])).
% 24.78/16.50 tff(13038,plain,
% 24.78/16.50 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB39)) | (~v130(constB39, bitIndex0)))),
% 24.78/16.50 inference(quant_inst,[status(thm)],[])).
% 24.78/16.50 tff(13039,plain,
% 24.78/16.50 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB39)) | (~v130(constB39, bitIndex0))),
% 24.78/16.50 inference(modus_ponens,[status(thm)],[13038, 13037])).
% 24.78/16.50 tff(13040,plain,
% 24.78/16.50 (~v119(constB39)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13039, 1327, 12976])).
% 24.78/16.50 tff(13041,plain,
% 24.78/16.50 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB39) | v120(constB39) | v121(constB39) | v122(constB39) | v123(constB39) | v124(constB39) | (~v130(constB39, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB39) | v120(constB39) | v121(constB39) | v122(constB39) | v123(constB39) | v124(constB39) | (~v130(constB39, bitIndex1)))),
% 24.78/16.50 inference(rewrite,[status(thm)],[])).
% 24.78/16.50 tff(13042,plain,
% 24.78/16.50 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB39) | v120(constB39) | v121(constB39) | v122(constB39) | v123(constB39) | v124(constB39) | (~v130(constB39, bitIndex1)))),
% 24.78/16.50 inference(quant_inst,[status(thm)],[])).
% 24.78/16.50 tff(13043,plain,
% 24.78/16.50 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB39) | v120(constB39) | v121(constB39) | v122(constB39) | v123(constB39) | v124(constB39) | (~v130(constB39, bitIndex1))),
% 24.78/16.50 inference(modus_ponens,[status(thm)],[13042, 13041])).
% 24.78/16.50 tff(13044,plain,
% 24.78/16.50 (v119(constB39) | v120(constB39) | v122(constB39) | v123(constB39) | v124(constB39) | (~v130(constB39, bitIndex1))),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13043, 1887, 12577])).
% 24.78/16.50 tff(13045,plain,
% 24.78/16.50 ($false),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13044, 13040, 13036, 13032, 12994, 12990, 12980])).
% 24.78/16.50 tff(13046,plain,(v100(constB44) | (~v90(constB44, bitIndex0)) | (~v90(constB44, bitIndex2)) | (~v90(constB44, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 24.78/16.50 tff(13047,plain,
% 24.78/16.50 (v100(constB44)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13046, 12209, 12199, 12265])).
% 24.78/16.50 tff(13048,plain,
% 24.78/16.50 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44)))),
% 24.78/16.50 inference(rewrite,[status(thm)],[])).
% 24.78/16.50 tff(13049,plain,
% 24.78/16.50 (((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1)) <=> ((~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44)))),
% 24.78/16.50 inference(rewrite,[status(thm)],[])).
% 24.78/16.50 tff(13050,plain,
% 24.78/16.50 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44))))),
% 24.78/16.50 inference(monotonicity,[status(thm)],[13049])).
% 24.78/16.50 tff(13051,plain,
% 24.78/16.50 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44)))),
% 24.78/16.50 inference(transitivity,[status(thm)],[13050, 13048])).
% 24.78/16.50 tff(13052,plain,
% 24.78/16.50 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1))),
% 24.78/16.50 inference(quant_inst,[status(thm)],[])).
% 24.78/16.50 tff(13053,plain,
% 24.78/16.50 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44))),
% 24.78/16.50 inference(modus_ponens,[status(thm)],[13052, 13051])).
% 24.78/16.50 tff(13054,plain,
% 24.78/16.50 (v129(constB44, bitIndex1) | (~v100(constB44))),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13053, 1303, 12265])).
% 24.78/16.50 tff(13055,plain,
% 24.78/16.50 (v129(constB44, bitIndex1)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13054, 13047])).
% 24.78/16.50 tff(13056,plain,
% 24.78/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1)))),
% 24.78/16.50 inference(rewrite,[status(thm)],[])).
% 24.78/16.50 tff(13057,plain,
% 24.78/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1)))),
% 24.78/16.50 inference(quant_inst,[status(thm)],[])).
% 24.78/16.50 tff(13058,plain,
% 24.78/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1))),
% 24.78/16.50 inference(modus_ponens,[status(thm)],[13057, 13056])).
% 24.78/16.50 tff(13059,plain,
% 24.78/16.50 (v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1))),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13058, 1288, 7812])).
% 24.78/16.50 tff(13060,plain,
% 24.78/16.50 (v127(constB43, bitIndex1)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13059, 13055])).
% 24.78/16.50 tff(13061,plain,
% 24.78/16.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))),
% 24.78/16.50 inference(rewrite,[status(thm)],[])).
% 24.78/16.50 tff(13062,plain,
% 24.78/16.50 ((v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1))) <=> ((~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))),
% 24.78/16.50 inference(rewrite,[status(thm)],[])).
% 24.78/16.50 tff(13063,plain,
% 24.78/16.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1)))),
% 24.78/16.50 inference(monotonicity,[status(thm)],[13062])).
% 24.78/16.50 tff(13064,plain,
% 24.78/16.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))),
% 24.78/16.50 inference(transitivity,[status(thm)],[13063, 13061])).
% 24.78/16.50 tff(13065,plain,
% 24.78/16.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1)))),
% 24.78/16.50 inference(quant_inst,[status(thm)],[])).
% 24.78/16.50 tff(13066,plain,
% 24.78/16.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1)),
% 24.78/16.50 inference(modus_ponens,[status(thm)],[13065, 13064])).
% 24.78/16.50 tff(13067,plain,
% 24.78/16.50 ((~v127(constB43, bitIndex1)) | v130(constB43, bitIndex1)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13066, 1270, 7797])).
% 24.78/16.50 tff(13068,plain,
% 24.78/16.50 (v130(constB43, bitIndex1)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13067, 13060])).
% 24.78/16.50 tff(13069,assumption,(~v122(constB43)), introduced(assumption)).
% 24.78/16.50 tff(13070,assumption,(~v119(constB43)), introduced(assumption)).
% 24.78/16.50 tff(13071,plain,
% 24.78/16.50 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB44, bitIndex2)) | v129(constB44, bitIndex2) | (~v100(constB44)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB44, bitIndex2)) | v129(constB44, bitIndex2) | (~v100(constB44)))),
% 24.78/16.50 inference(rewrite,[status(thm)],[])).
% 24.78/16.50 tff(13072,plain,
% 24.78/16.50 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB44, bitIndex2)) | v129(constB44, bitIndex2) | (~v100(constB44)))),
% 24.78/16.50 inference(quant_inst,[status(thm)],[])).
% 24.78/16.50 tff(13073,plain,
% 24.78/16.50 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB44, bitIndex2)) | v129(constB44, bitIndex2) | (~v100(constB44))),
% 24.78/16.50 inference(modus_ponens,[status(thm)],[13072, 13071])).
% 24.78/16.50 tff(13074,plain,
% 24.78/16.50 (v129(constB44, bitIndex2) | (~v100(constB44))),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13073, 1845, 12199])).
% 24.78/16.50 tff(13075,plain,
% 24.78/16.50 (v129(constB44, bitIndex2)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13074, 13047])).
% 24.78/16.50 tff(13076,plain,
% 24.78/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex2) | (~v129(constB44, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex2) | (~v129(constB44, bitIndex2)))),
% 24.78/16.50 inference(rewrite,[status(thm)],[])).
% 24.78/16.50 tff(13077,plain,
% 24.78/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex2) | (~v129(constB44, bitIndex2)))),
% 24.78/16.50 inference(quant_inst,[status(thm)],[])).
% 24.78/16.50 tff(13078,plain,
% 24.78/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex2) | (~v129(constB44, bitIndex2))),
% 24.78/16.50 inference(modus_ponens,[status(thm)],[13077, 13076])).
% 24.78/16.50 tff(13079,plain,
% 24.78/16.50 (v127(constB43, bitIndex2) | (~v129(constB44, bitIndex2))),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13078, 1830, 7812])).
% 24.78/16.50 tff(13080,plain,
% 24.78/16.50 (v127(constB43, bitIndex2)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13079, 13075])).
% 24.78/16.50 tff(13081,plain,
% 24.78/16.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB43, bitIndex2)) | v26(constB43) | v130(constB43, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB43, bitIndex2)) | v26(constB43) | v130(constB43, bitIndex2))),
% 24.78/16.50 inference(rewrite,[status(thm)],[])).
% 24.78/16.50 tff(13082,plain,
% 24.78/16.50 ((v26(constB43) | v130(constB43, bitIndex2) | (~v127(constB43, bitIndex2))) <=> ((~v127(constB43, bitIndex2)) | v26(constB43) | v130(constB43, bitIndex2))),
% 24.78/16.50 inference(rewrite,[status(thm)],[])).
% 24.78/16.50 tff(13083,plain,
% 24.78/16.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB43) | v130(constB43, bitIndex2) | (~v127(constB43, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB43, bitIndex2)) | v26(constB43) | v130(constB43, bitIndex2)))),
% 24.78/16.50 inference(monotonicity,[status(thm)],[13082])).
% 24.78/16.50 tff(13084,plain,
% 24.78/16.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB43) | v130(constB43, bitIndex2) | (~v127(constB43, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB43, bitIndex2)) | v26(constB43) | v130(constB43, bitIndex2))),
% 24.78/16.50 inference(transitivity,[status(thm)],[13083, 13081])).
% 24.78/16.50 tff(13085,plain,
% 24.78/16.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB43) | v130(constB43, bitIndex2) | (~v127(constB43, bitIndex2)))),
% 24.78/16.50 inference(quant_inst,[status(thm)],[])).
% 24.78/16.50 tff(13086,plain,
% 24.78/16.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB43, bitIndex2)) | v26(constB43) | v130(constB43, bitIndex2)),
% 24.78/16.50 inference(modus_ponens,[status(thm)],[13085, 13084])).
% 24.78/16.50 tff(13087,plain,
% 24.78/16.50 ((~v127(constB43, bitIndex2)) | v130(constB43, bitIndex2)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13086, 1812, 7797])).
% 24.78/16.50 tff(13088,plain,
% 24.78/16.50 (v130(constB43, bitIndex2)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13087, 13080])).
% 24.78/16.50 tff(13089,plain,
% 24.78/16.50 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB43)) | (~v130(constB43, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB43)) | (~v130(constB43, bitIndex2)))),
% 24.78/16.50 inference(rewrite,[status(thm)],[])).
% 24.78/16.50 tff(13090,plain,
% 24.78/16.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB43)) | (~v130(constB43, bitIndex2)))),
% 24.78/16.50 inference(quant_inst,[status(thm)],[])).
% 24.78/16.50 tff(13091,plain,
% 24.78/16.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB43)) | (~v130(constB43, bitIndex2))),
% 24.78/16.50 inference(modus_ponens,[status(thm)],[13090, 13089])).
% 24.78/16.50 tff(13092,plain,
% 24.78/16.50 (~v124(constB43)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13091, 4807, 13088])).
% 24.78/16.50 tff(13093,plain,
% 24.78/16.50 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB43)) | (~v130(constB43, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB43)) | (~v130(constB43, bitIndex2)))),
% 24.78/16.50 inference(rewrite,[status(thm)],[])).
% 24.78/16.50 tff(13094,plain,
% 24.78/16.50 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB43)) | (~v130(constB43, bitIndex2)))),
% 24.78/16.50 inference(quant_inst,[status(thm)],[])).
% 24.78/16.50 tff(13095,plain,
% 24.78/16.50 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB43)) | (~v130(constB43, bitIndex2))),
% 24.78/16.50 inference(modus_ponens,[status(thm)],[13094, 13093])).
% 24.78/16.50 tff(13096,plain,
% 24.78/16.50 (~v121(constB43)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13095, 2406, 13088])).
% 24.78/16.50 tff(13097,plain,
% 24.78/16.50 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB43) | v120(constB43) | v121(constB43) | v122(constB43) | v123(constB43) | v124(constB43) | (~v130(constB43, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB43) | v120(constB43) | v121(constB43) | v122(constB43) | v123(constB43) | v124(constB43) | (~v130(constB43, bitIndex1)))),
% 24.78/16.50 inference(rewrite,[status(thm)],[])).
% 24.78/16.50 tff(13098,plain,
% 24.78/16.50 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB43) | v120(constB43) | v121(constB43) | v122(constB43) | v123(constB43) | v124(constB43) | (~v130(constB43, bitIndex1)))),
% 24.78/16.50 inference(quant_inst,[status(thm)],[])).
% 24.78/16.50 tff(13099,plain,
% 24.78/16.50 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB43) | v120(constB43) | v121(constB43) | v122(constB43) | v123(constB43) | v124(constB43) | (~v130(constB43, bitIndex1))),
% 24.78/16.50 inference(modus_ponens,[status(thm)],[13098, 13097])).
% 24.78/16.50 tff(13100,plain,
% 24.78/16.50 (v119(constB43) | v120(constB43) | v121(constB43) | v122(constB43) | v124(constB43) | (~v130(constB43, bitIndex1))),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13099, 1887, 7767])).
% 24.78/16.50 tff(13101,plain,
% 24.78/16.50 ($false),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13100, 13096, 13092, 12224, 13070, 13069, 13068])).
% 24.78/16.50 tff(13102,plain,(v100(constB46) | v120(constB43) | v119(constB43) | v122(constB43) | v123(constB43) | (~v90(constB46, bitIndex2)) | (~v90(constB46, bitIndex1)) | (~v90(constB46, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 24.78/16.50 tff(13103,plain,
% 24.78/16.50 (v100(constB46)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13102, 12462, 12458, 12454, 12163, 12137, 12128, 12119])).
% 24.78/16.50 tff(13104,plain,
% 24.78/16.50 (v129(constB46, bitIndex2) | (~v100(constB46))),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[8065, 1845, 12137])).
% 24.78/16.50 tff(13105,plain,
% 24.78/16.50 (v129(constB46, bitIndex2)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13104, 13103])).
% 24.78/16.50 tff(13106,plain,
% 24.78/16.50 (v127(constB45, bitIndex2)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[8061, 13105])).
% 24.78/16.50 tff(13107,plain,
% 24.78/16.50 (v130(constB45, bitIndex2)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[8056, 13106])).
% 24.78/16.50 tff(13108,plain,
% 24.78/16.50 (~v124(constB45)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[12286, 4807, 13107])).
% 24.78/16.50 tff(13109,plain,
% 24.78/16.50 (v129(constB46, bitIndex1) | (~v100(constB46))),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[8148, 1303, 12128])).
% 24.78/16.50 tff(13110,plain,
% 24.78/16.50 (v129(constB46, bitIndex1)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13109, 13103])).
% 24.78/16.50 tff(13111,plain,
% 24.78/16.50 (v127(constB45, bitIndex1)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[8141, 13110])).
% 24.78/16.50 tff(13112,plain,
% 24.78/16.50 (v130(constB45, bitIndex1)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[8136, 13111])).
% 24.78/16.50 tff(13113,plain,
% 24.78/16.50 (~v122(constB45)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[12294, 2792, 13112])).
% 24.78/16.50 tff(13114,plain,
% 24.78/16.50 (~v121(constB45)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[12298, 2406, 13107])).
% 24.78/16.50 tff(13115,plain,
% 24.78/16.50 (~v119(constB45)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[12302, 1256, 13112])).
% 24.78/16.50 tff(13116,plain,
% 24.78/16.50 (~v120(constB45)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[12306, 2231, 13107])).
% 24.78/16.50 tff(13117,plain,
% 24.78/16.50 (~v123(constB45)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[12445, 12039, 11889])).
% 24.78/16.50 tff(13118,plain,
% 24.78/16.50 (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v124(constB45) | (~v130(constB45, bitIndex1))),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[8128, 1887, 13117])).
% 24.78/16.50 tff(13119,plain,
% 24.78/16.50 ($false),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13118, 13116, 13115, 13112, 13114, 13113, 13108])).
% 24.78/16.50 tff(13120,plain,(v100(constB54) | (~v90(constB52, bitIndex0)) | (~v90(constB54, bitIndex1)) | (~v90(constB54, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 24.78/16.50 tff(13121,plain,
% 24.78/16.50 (v100(constB54)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13120, 11640, 11551, 11542])).
% 24.78/16.50 tff(13122,plain,
% 24.78/16.50 (v129(constB54, bitIndex1) | (~v100(constB54))),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[11576, 1303, 11551])).
% 24.78/16.50 tff(13123,plain,
% 24.78/16.50 (v129(constB54, bitIndex1)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13122, 13121])).
% 24.78/16.50 tff(13124,plain,
% 24.78/16.50 (v127(constB53, bitIndex1)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[11582, 13123])).
% 24.78/16.50 tff(13125,plain,
% 24.78/16.50 ((~v127(constB53, bitIndex1)) | v130(constB53, bitIndex1)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[11620, 1270, 9046])).
% 24.78/16.50 tff(13126,plain,
% 24.78/16.50 (v130(constB53, bitIndex1)),
% 24.78/16.50 inference(unit_resolution,[status(thm)],[13125, 13124])).
% 24.78/16.50 tff(13127,plain,
% 24.78/16.50 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB53)) | (~v130(constB53, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB53)) | (~v130(constB53, bitIndex1)))),
% 24.78/16.51 inference(rewrite,[status(thm)],[])).
% 24.78/16.51 tff(13128,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB53)) | (~v130(constB53, bitIndex1)))),
% 24.78/16.51 inference(quant_inst,[status(thm)],[])).
% 24.78/16.51 tff(13129,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB53)) | (~v130(constB53, bitIndex1))),
% 24.78/16.51 inference(modus_ponens,[status(thm)],[13128, 13127])).
% 24.78/16.51 tff(13130,plain,
% 24.78/16.51 (~v122(constB53)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13129, 2792, 13126])).
% 24.78/16.51 tff(13131,plain,
% 24.78/16.51 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB53)) | (~v90(constB53, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB53)) | (~v90(constB53, bitIndex0)))),
% 24.78/16.51 inference(rewrite,[status(thm)],[])).
% 24.78/16.51 tff(13132,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB53)) | (~v90(constB53, bitIndex0)))),
% 24.78/16.51 inference(quant_inst,[status(thm)],[])).
% 24.78/16.51 tff(13133,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB53)) | (~v90(constB53, bitIndex0))),
% 24.78/16.51 inference(modus_ponens,[status(thm)],[13132, 13131])).
% 24.78/16.51 tff(13134,plain,
% 24.78/16.51 (~v121(constB53)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13133, 11924, 11639])).
% 24.78/16.51 tff(13135,plain,
% 24.78/16.51 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB53)) | (~v90(constB53, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB53)) | (~v90(constB53, bitIndex0)))),
% 24.78/16.51 inference(rewrite,[status(thm)],[])).
% 24.78/16.51 tff(13136,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB53)) | (~v90(constB53, bitIndex0)))),
% 24.78/16.51 inference(quant_inst,[status(thm)],[])).
% 24.78/16.51 tff(13137,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB53)) | (~v90(constB53, bitIndex0))),
% 24.78/16.51 inference(modus_ponens,[status(thm)],[13136, 13135])).
% 24.78/16.51 tff(13138,plain,
% 24.78/16.51 (~v119(constB53)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13137, 11913, 11639])).
% 24.78/16.51 tff(13139,plain,
% 24.78/16.51 (v129(constB54, bitIndex2) | (~v100(constB54))),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[11591, 1845, 11542])).
% 24.78/16.51 tff(13140,plain,
% 24.78/16.51 (v129(constB54, bitIndex2)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13139, 13121])).
% 24.78/16.51 tff(13141,plain,
% 24.78/16.51 (v127(constB53, bitIndex2)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[11597, 13140])).
% 24.78/16.51 tff(13142,plain,
% 24.78/16.51 ((~v127(constB53, bitIndex2)) | v130(constB53, bitIndex2)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[11604, 1812, 9046])).
% 24.78/16.51 tff(13143,plain,
% 24.78/16.51 (v130(constB53, bitIndex2)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13142, 13141])).
% 24.78/16.51 tff(13144,plain,
% 24.78/16.51 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB53)) | (~v130(constB53, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB53)) | (~v130(constB53, bitIndex2)))),
% 24.78/16.51 inference(rewrite,[status(thm)],[])).
% 24.78/16.51 tff(13145,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB53)) | (~v130(constB53, bitIndex2)))),
% 24.78/16.51 inference(quant_inst,[status(thm)],[])).
% 24.78/16.51 tff(13146,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB53)) | (~v130(constB53, bitIndex2))),
% 24.78/16.51 inference(modus_ponens,[status(thm)],[13145, 13144])).
% 24.78/16.51 tff(13147,plain,
% 24.78/16.51 (~v124(constB53)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13146, 4807, 13143])).
% 24.78/16.51 tff(13148,plain,
% 24.78/16.51 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB53)) | (~v130(constB53, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB53)) | (~v130(constB53, bitIndex2)))),
% 24.78/16.51 inference(rewrite,[status(thm)],[])).
% 24.78/16.51 tff(13149,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB53)) | (~v130(constB53, bitIndex2)))),
% 24.78/16.51 inference(quant_inst,[status(thm)],[])).
% 24.78/16.51 tff(13150,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB53)) | (~v130(constB53, bitIndex2))),
% 24.78/16.51 inference(modus_ponens,[status(thm)],[13149, 13148])).
% 24.78/16.51 tff(13151,plain,
% 24.78/16.51 (~v120(constB53)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13150, 2231, 13143])).
% 24.78/16.51 tff(13152,plain,
% 24.78/16.51 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB53) | v120(constB53) | v121(constB53) | v122(constB53) | v123(constB53) | v124(constB53) | (~v130(constB53, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB53) | v120(constB53) | v121(constB53) | v122(constB53) | v123(constB53) | v124(constB53) | (~v130(constB53, bitIndex1)))),
% 24.78/16.51 inference(rewrite,[status(thm)],[])).
% 24.78/16.51 tff(13153,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB53) | v120(constB53) | v121(constB53) | v122(constB53) | v123(constB53) | v124(constB53) | (~v130(constB53, bitIndex1)))),
% 24.78/16.51 inference(quant_inst,[status(thm)],[])).
% 24.78/16.51 tff(13154,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB53) | v120(constB53) | v121(constB53) | v122(constB53) | v123(constB53) | v124(constB53) | (~v130(constB53, bitIndex1))),
% 24.78/16.51 inference(modus_ponens,[status(thm)],[13153, 13152])).
% 24.78/16.51 tff(13155,plain,
% 24.78/16.51 (v119(constB53) | v120(constB53) | v121(constB53) | v122(constB53) | v124(constB53) | (~v130(constB53, bitIndex1))),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13154, 1887, 9014])).
% 24.78/16.51 tff(13156,plain,
% 24.78/16.51 ($false),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13155, 13151, 13147, 13138, 13126, 13134, 13130])).
% 24.78/16.51 tff(13157,plain,(v113(constB55) | v123(constB53) | v119(constB55)), inference(lemma,lemma(discharge,[]))).
% 24.78/16.51 tff(13158,plain,
% 24.78/16.51 (v113(constB55)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13157, 11452, 11381])).
% 24.78/16.51 tff(13159,plain,
% 24.78/16.51 (v112(constB55)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9225, 13158])).
% 24.78/16.51 tff(13160,plain,
% 24.78/16.51 (v108(constB55)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9232, 1062, 13159])).
% 24.78/16.51 tff(13161,plain,
% 24.78/16.51 (v110(constB56)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9243, 13160])).
% 24.78/16.51 tff(13162,plain,
% 24.78/16.51 (v100(constB56)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9266, 13161])).
% 24.78/16.51 tff(13163,plain,
% 24.78/16.51 ((~v90(constB56, bitIndex2)) | v129(constB56, bitIndex2)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9311, 1845, 13162])).
% 24.78/16.51 tff(13164,plain,
% 24.78/16.51 (v129(constB56, bitIndex2)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13163, 11245])).
% 24.78/16.51 tff(13165,plain,
% 24.78/16.51 (v127(constB55, bitIndex2)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9307, 13164])).
% 24.78/16.51 tff(13166,plain,
% 24.78/16.51 (v130(constB55, bitIndex2)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9302, 13165])).
% 24.78/16.51 tff(13167,plain,
% 24.78/16.51 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB55)) | (~v130(constB55, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB55)) | (~v130(constB55, bitIndex2)))),
% 24.78/16.51 inference(rewrite,[status(thm)],[])).
% 24.78/16.51 tff(13168,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB55)) | (~v130(constB55, bitIndex2)))),
% 24.78/16.51 inference(quant_inst,[status(thm)],[])).
% 24.78/16.51 tff(13169,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB55)) | (~v130(constB55, bitIndex2))),
% 24.78/16.51 inference(modus_ponens,[status(thm)],[13168, 13167])).
% 24.78/16.51 tff(13170,plain,
% 24.78/16.51 (~v124(constB55)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13169, 4807, 13166])).
% 24.78/16.51 tff(13171,plain,
% 24.78/16.51 (v90(constB57, bitIndex1)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[11445, 11236, 11175])).
% 24.78/16.51 tff(13172,plain,
% 24.78/16.51 (v90(constB56, bitIndex1)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9373, 13171])).
% 24.78/16.51 tff(13173,plain,
% 24.78/16.51 ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9363, 1303, 13162])).
% 24.78/16.51 tff(13174,plain,
% 24.78/16.51 (v129(constB56, bitIndex1)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13173, 13172])).
% 24.78/16.51 tff(13175,plain,
% 24.78/16.51 (v127(constB55, bitIndex1)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9356, 13174])).
% 24.78/16.51 tff(13176,plain,
% 24.78/16.51 (v130(constB55, bitIndex1)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9351, 13175])).
% 24.78/16.51 tff(13177,assumption,(v122(constB55)), introduced(assumption)).
% 24.78/16.51 tff(13178,plain,
% 24.78/16.51 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB55)) | (~v130(constB55, bitIndex0)))),
% 24.78/16.51 inference(rewrite,[status(thm)],[])).
% 24.78/16.51 tff(13179,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex0)))),
% 24.78/16.51 inference(quant_inst,[status(thm)],[])).
% 24.78/16.51 tff(13180,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB55)) | (~v130(constB55, bitIndex0))),
% 24.78/16.51 inference(modus_ponens,[status(thm)],[13179, 13178])).
% 24.78/16.51 tff(13181,plain,
% 24.78/16.51 (~v130(constB55, bitIndex0)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13180, 2833, 13177])).
% 24.78/16.51 tff(13182,plain,
% 24.78/16.51 (~v127(constB55, bitIndex0)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[11340, 13181])).
% 24.78/16.51 tff(13183,plain,
% 24.78/16.51 (~v129(constB56, bitIndex0)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[11345, 13182])).
% 24.78/16.51 tff(13184,assumption,(v100(constB56)), introduced(assumption)).
% 24.78/16.51 tff(13185,plain,
% 24.78/16.51 ((~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[11352, 1374, 13184])).
% 24.78/16.51 tff(13186,plain,
% 24.78/16.51 (~v90(constB56, bitIndex0)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13185, 13183])).
% 24.78/16.51 tff(13187,plain,
% 24.78/16.51 (~v90(constB57, bitIndex0)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[11362, 13186])).
% 24.78/16.51 tff(13188,plain,
% 24.78/16.51 (v100(constB58)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[11374, 13187, 11190])).
% 24.78/16.51 tff(13189,plain,
% 24.78/16.51 (v129(constB58, bitIndex0)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[11191, 13188])).
% 24.78/16.51 tff(13190,plain,
% 24.78/16.51 (v127(constB57, bitIndex0)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9591, 13189])).
% 24.78/16.51 tff(13191,plain,
% 24.78/16.51 (v130(constB57, bitIndex0)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9586, 13190])).
% 24.78/16.51 tff(13192,plain,
% 24.78/16.51 (~v123(constB57)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[11206, 1617, 13191])).
% 24.78/16.51 tff(13193,plain,
% 24.78/16.51 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB55)) | v130(constB55, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB55)) | v130(constB55, bitIndex2))),
% 24.78/16.51 inference(rewrite,[status(thm)],[])).
% 24.78/16.51 tff(13194,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB55)) | v130(constB55, bitIndex2))),
% 24.78/16.51 inference(quant_inst,[status(thm)],[])).
% 24.78/16.51 tff(13195,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB55)) | v130(constB55, bitIndex2)),
% 24.78/16.51 inference(modus_ponens,[status(thm)],[13194, 13193])).
% 24.78/16.51 tff(13196,plain,
% 24.78/16.51 (v130(constB55, bitIndex2)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13195, 2736, 13177])).
% 24.78/16.51 tff(13197,plain,
% 24.78/16.51 (v127(constB55, bitIndex2)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[11297, 13196])).
% 24.78/16.51 tff(13198,plain,
% 24.78/16.51 (v129(constB56, bitIndex2)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[11302, 13197])).
% 24.78/16.51 tff(13199,plain,
% 24.78/16.51 (v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2))),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[11309, 1204, 13184])).
% 24.78/16.51 tff(13200,plain,
% 24.78/16.51 (v90(constB56, bitIndex2)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13199, 13198])).
% 24.78/16.51 tff(13201,plain,
% 24.78/16.51 (v90(constB57, bitIndex2)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[11319, 13200])).
% 24.78/16.51 tff(13202,plain,
% 24.78/16.51 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB55)) | (~v130(constB55, bitIndex1)))),
% 24.78/16.51 inference(rewrite,[status(thm)],[])).
% 24.78/16.51 tff(13203,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex1)))),
% 24.78/16.51 inference(quant_inst,[status(thm)],[])).
% 24.78/16.51 tff(13204,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB55)) | (~v130(constB55, bitIndex1))),
% 24.78/16.51 inference(modus_ponens,[status(thm)],[13203, 13202])).
% 24.78/16.51 tff(13205,plain,
% 24.78/16.51 (~v130(constB55, bitIndex1)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13204, 2792, 13177])).
% 24.78/16.51 tff(13206,plain,
% 24.78/16.51 (~v127(constB55, bitIndex1)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9351, 13205])).
% 24.78/16.51 tff(13207,plain,
% 24.78/16.51 (~v129(constB56, bitIndex1)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9356, 13206])).
% 24.78/16.51 tff(13208,plain,
% 24.78/16.51 ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9363, 1303, 13184])).
% 24.78/16.51 tff(13209,plain,
% 24.78/16.51 (~v90(constB56, bitIndex1)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13208, 13207])).
% 24.78/16.51 tff(13210,plain,
% 24.78/16.51 (~v90(constB57, bitIndex1)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9373, 13209])).
% 24.78/16.51 tff(13211,plain,
% 24.78/16.51 ($false),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[11366, 1401, 13187, 13210, 13201, 13192])).
% 24.78/16.51 tff(13212,plain,((~v122(constB55)) | (~v90(constB58, bitIndex0)) | (~v100(constB56))), inference(lemma,lemma(discharge,[]))).
% 24.78/16.51 tff(13213,plain,
% 24.78/16.51 (~v122(constB55)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13212, 11157, 13162])).
% 24.78/16.51 tff(13214,assumption,(v121(constB55)), introduced(assumption)).
% 24.78/16.51 tff(13215,plain,
% 24.78/16.51 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB55)) | (~v130(constB55, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB55)) | (~v130(constB55, bitIndex2)))),
% 24.78/16.51 inference(rewrite,[status(thm)],[])).
% 24.78/16.51 tff(13216,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB55)) | (~v130(constB55, bitIndex2)))),
% 24.78/16.51 inference(quant_inst,[status(thm)],[])).
% 24.78/16.51 tff(13217,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB55)) | (~v130(constB55, bitIndex2))),
% 24.78/16.51 inference(modus_ponens,[status(thm)],[13216, 13215])).
% 24.78/16.51 tff(13218,plain,
% 24.78/16.51 (~v130(constB55, bitIndex2)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13217, 2406, 13214])).
% 24.78/16.51 tff(13219,plain,
% 24.78/16.51 (~v127(constB55, bitIndex2)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9302, 13218])).
% 24.78/16.51 tff(13220,plain,
% 24.78/16.51 (~v129(constB56, bitIndex2)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9307, 13219])).
% 24.78/16.51 tff(13221,plain,
% 24.78/16.51 ((~v90(constB56, bitIndex2)) | v129(constB56, bitIndex2)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9311, 1845, 13184])).
% 24.78/16.51 tff(13222,plain,
% 24.78/16.51 (~v90(constB56, bitIndex2)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13221, 13220])).
% 24.78/16.51 tff(13223,plain,
% 24.78/16.51 (~v90(constB57, bitIndex2)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9339, 13222])).
% 24.78/16.51 tff(13224,plain,
% 24.78/16.51 (v100(constB58)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[11243, 13223, 11177])).
% 24.78/16.51 tff(13225,plain,
% 24.78/16.51 (v129(constB58, bitIndex0)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[11191, 13224])).
% 24.78/16.51 tff(13226,plain,
% 24.78/16.51 (v127(constB57, bitIndex0)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9591, 13225])).
% 24.78/16.51 tff(13227,plain,
% 24.78/16.51 (v130(constB57, bitIndex0)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9586, 13226])).
% 24.78/16.51 tff(13228,plain,
% 24.78/16.51 (~v122(constB57)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[11202, 2833, 13227])).
% 24.78/16.51 tff(13229,plain,
% 24.78/16.51 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB55)) | v130(constB55, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB55)) | v130(constB55, bitIndex1))),
% 24.78/16.51 inference(rewrite,[status(thm)],[])).
% 24.78/16.51 tff(13230,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB55)) | v130(constB55, bitIndex1))),
% 24.78/16.51 inference(quant_inst,[status(thm)],[])).
% 24.78/16.51 tff(13231,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB55)) | v130(constB55, bitIndex1)),
% 24.78/16.51 inference(modus_ponens,[status(thm)],[13230, 13229])).
% 24.78/16.51 tff(13232,plain,
% 24.78/16.51 (v130(constB55, bitIndex1)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13231, 2562, 13214])).
% 24.78/16.51 tff(13233,plain,
% 24.78/16.51 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB55) | (~v130(constB55, bitIndex1)) | v127(constB55, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB55) | (~v130(constB55, bitIndex1)) | v127(constB55, bitIndex1))),
% 24.78/16.51 inference(rewrite,[status(thm)],[])).
% 24.78/16.51 tff(13234,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB55) | (~v130(constB55, bitIndex1)) | v127(constB55, bitIndex1))),
% 24.78/16.51 inference(quant_inst,[status(thm)],[])).
% 24.78/16.51 tff(13235,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB55) | (~v130(constB55, bitIndex1)) | v127(constB55, bitIndex1)),
% 24.78/16.51 inference(modus_ponens,[status(thm)],[13234, 13233])).
% 24.78/16.51 tff(13236,plain,
% 24.78/16.51 ((~v130(constB55, bitIndex1)) | v127(constB55, bitIndex1)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13235, 1553, 9221])).
% 24.78/16.51 tff(13237,plain,
% 24.78/16.51 (v127(constB55, bitIndex1)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13236, 13232])).
% 24.78/16.51 tff(13238,plain,
% 24.78/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB55, constB56)) | (~v127(constB55, bitIndex1)) | v129(constB56, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB55, constB56)) | (~v127(constB55, bitIndex1)) | v129(constB56, bitIndex1))),
% 24.78/16.51 inference(rewrite,[status(thm)],[])).
% 24.78/16.51 tff(13239,plain,
% 24.78/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB55, constB56)) | (~v127(constB55, bitIndex1)) | v129(constB56, bitIndex1))),
% 24.78/16.51 inference(quant_inst,[status(thm)],[])).
% 24.78/16.51 tff(13240,plain,
% 24.78/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB55, constB56)) | (~v127(constB55, bitIndex1)) | v129(constB56, bitIndex1)),
% 24.78/16.51 inference(modus_ponens,[status(thm)],[13239, 13238])).
% 24.78/16.51 tff(13241,plain,
% 24.78/16.51 ((~v127(constB55, bitIndex1)) | v129(constB56, bitIndex1)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13240, 1568, 9236])).
% 24.78/16.51 tff(13242,plain,
% 24.78/16.51 (v129(constB56, bitIndex1)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13241, 13237])).
% 24.78/16.51 tff(13243,plain,
% 24.78/16.51 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB56, bitIndex1) | (~v129(constB56, bitIndex1)) | (~v100(constB56)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~v129(constB56, bitIndex1)) | (~v100(constB56)))),
% 24.78/16.51 inference(rewrite,[status(thm)],[])).
% 24.78/16.51 tff(13244,plain,
% 24.78/16.51 ((v90(constB56, bitIndex1) | (~v100(constB56)) | (~v129(constB56, bitIndex1))) <=> (v90(constB56, bitIndex1) | (~v129(constB56, bitIndex1)) | (~v100(constB56)))),
% 24.78/16.51 inference(rewrite,[status(thm)],[])).
% 24.78/16.51 tff(13245,plain,
% 24.78/16.51 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB56, bitIndex1) | (~v100(constB56)) | (~v129(constB56, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB56, bitIndex1) | (~v129(constB56, bitIndex1)) | (~v100(constB56))))),
% 24.78/16.51 inference(monotonicity,[status(thm)],[13244])).
% 24.78/16.51 tff(13246,plain,
% 24.78/16.51 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB56, bitIndex1) | (~v100(constB56)) | (~v129(constB56, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~v129(constB56, bitIndex1)) | (~v100(constB56)))),
% 24.78/16.51 inference(transitivity,[status(thm)],[13245, 13243])).
% 24.78/16.51 tff(13247,plain,
% 24.78/16.51 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB56, bitIndex1) | (~v100(constB56)) | (~v129(constB56, bitIndex1)))),
% 24.78/16.51 inference(quant_inst,[status(thm)],[])).
% 24.78/16.51 tff(13248,plain,
% 24.78/16.51 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~v129(constB56, bitIndex1)) | (~v100(constB56))),
% 24.78/16.51 inference(modus_ponens,[status(thm)],[13247, 13246])).
% 24.78/16.51 tff(13249,plain,
% 24.78/16.51 (v90(constB56, bitIndex1) | (~v129(constB56, bitIndex1))),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13248, 1583, 13184])).
% 24.78/16.51 tff(13250,plain,
% 24.78/16.51 (v90(constB56, bitIndex1)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13249, 13242])).
% 24.78/16.51 tff(13251,plain,
% 24.78/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex1))),
% 24.78/16.51 inference(rewrite,[status(thm)],[])).
% 24.78/16.51 tff(13252,plain,
% 24.78/16.51 (((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex1)) | v100(constB57) | v90(constB57, bitIndex1)) <=> ((~v90(constB56, bitIndex1)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex1))),
% 24.78/16.51 inference(rewrite,[status(thm)],[])).
% 24.78/16.51 tff(13253,plain,
% 24.78/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex1)) | v100(constB57) | v90(constB57, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex1)))),
% 24.78/16.51 inference(monotonicity,[status(thm)],[13252])).
% 24.78/16.51 tff(13254,plain,
% 24.78/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex1)) | v100(constB57) | v90(constB57, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex1))),
% 24.78/16.51 inference(transitivity,[status(thm)],[13253, 13251])).
% 24.78/16.51 tff(13255,plain,
% 24.78/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex1)) | v100(constB57) | v90(constB57, bitIndex1))),
% 24.78/16.51 inference(quant_inst,[status(thm)],[])).
% 24.78/16.51 tff(13256,plain,
% 24.78/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex1)),
% 24.78/16.51 inference(modus_ponens,[status(thm)],[13255, 13254])).
% 24.78/16.51 tff(13257,plain,
% 24.78/16.51 ((~v90(constB56, bitIndex1)) | v100(constB57) | v90(constB57, bitIndex1)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13256, 1601, 9319])).
% 24.78/16.51 tff(13258,plain,
% 24.78/16.51 ((~v90(constB56, bitIndex1)) | v90(constB57, bitIndex1)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13257, 9331])).
% 24.78/16.51 tff(13259,plain,
% 24.78/16.51 (v90(constB57, bitIndex1)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13258, 13250])).
% 24.78/16.51 tff(13260,plain,
% 24.78/16.51 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB55)) | v130(constB55, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB55)) | v130(constB55, bitIndex0))),
% 24.78/16.51 inference(rewrite,[status(thm)],[])).
% 24.78/16.51 tff(13261,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB55)) | v130(constB55, bitIndex0))),
% 24.78/16.51 inference(quant_inst,[status(thm)],[])).
% 24.78/16.51 tff(13262,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB55)) | v130(constB55, bitIndex0)),
% 24.78/16.51 inference(modus_ponens,[status(thm)],[13261, 13260])).
% 24.78/16.51 tff(13263,plain,
% 24.78/16.51 (v130(constB55, bitIndex0)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13262, 2600, 13214])).
% 24.78/16.51 tff(13264,plain,
% 24.78/16.51 (v127(constB55, bitIndex0)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9382, 13263])).
% 24.78/16.51 tff(13265,plain,
% 24.78/16.51 (v129(constB56, bitIndex0)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9387, 13264])).
% 24.78/16.51 tff(13266,plain,
% 24.78/16.51 (v90(constB56, bitIndex0) | (~v129(constB56, bitIndex0))),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9394, 1975, 13184])).
% 24.78/16.51 tff(13267,plain,
% 24.78/16.51 (v90(constB56, bitIndex0)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13266, 13265])).
% 24.78/16.51 tff(13268,plain,
% 24.78/16.51 (v90(constB57, bitIndex0)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9404, 13267])).
% 24.78/16.51 tff(13269,plain,
% 24.78/16.51 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB57, bitIndex0)) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v122(constB57))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB57, bitIndex0)) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v122(constB57))),
% 24.78/16.51 inference(rewrite,[status(thm)],[])).
% 24.78/16.51 tff(13270,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB57, bitIndex0)) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v122(constB57))),
% 24.78/16.51 inference(quant_inst,[status(thm)],[])).
% 24.78/16.51 tff(13271,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB57, bitIndex0)) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v122(constB57)),
% 24.78/16.51 inference(modus_ponens,[status(thm)],[13270, 13269])).
% 24.78/16.51 tff(13272,plain,
% 24.78/16.51 ($false),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13271, 2641, 13268, 13259, 13223, 13228])).
% 24.78/16.51 tff(13273,plain,((~v121(constB55)) | (~v90(constB58, bitIndex0)) | (~v90(constB58, bitIndex2)) | (~v100(constB56))), inference(lemma,lemma(discharge,[]))).
% 24.78/16.51 tff(13274,plain,
% 24.78/16.51 (~v121(constB55)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13273, 11157, 11147, 13162])).
% 24.78/16.51 tff(13275,plain,
% 24.78/16.51 (v90(constB57, bitIndex0)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[11374, 11236, 11157])).
% 24.78/16.51 tff(13276,plain,
% 24.78/16.51 (v90(constB56, bitIndex0)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[11362, 13275])).
% 24.78/16.51 tff(13277,plain,
% 24.78/16.51 ((~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[11352, 1374, 13162])).
% 24.78/16.51 tff(13278,plain,
% 24.78/16.51 (v129(constB56, bitIndex0)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13277, 13276])).
% 24.78/16.51 tff(13279,plain,
% 24.78/16.51 (v127(constB55, bitIndex0)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[11345, 13278])).
% 24.78/16.51 tff(13280,plain,
% 24.78/16.51 (v130(constB55, bitIndex0)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[11340, 13279])).
% 24.78/16.51 tff(13281,plain,
% 24.78/16.51 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB55)) | (~v130(constB55, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB55)) | (~v130(constB55, bitIndex0)))),
% 24.78/16.51 inference(rewrite,[status(thm)],[])).
% 24.78/16.51 tff(13282,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB55)) | (~v130(constB55, bitIndex0)))),
% 24.78/16.51 inference(quant_inst,[status(thm)],[])).
% 24.78/16.51 tff(13283,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB55)) | (~v130(constB55, bitIndex0))),
% 24.78/16.51 inference(modus_ponens,[status(thm)],[13282, 13281])).
% 24.78/16.51 tff(13284,plain,
% 24.78/16.51 (~v123(constB55)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13283, 1617, 13280])).
% 24.78/16.51 tff(13285,plain,
% 24.78/16.51 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB55)) | (~v130(constB55, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB55)) | (~v130(constB55, bitIndex0)))),
% 24.78/16.51 inference(rewrite,[status(thm)],[])).
% 24.78/16.51 tff(13286,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB55)) | (~v130(constB55, bitIndex0)))),
% 24.78/16.51 inference(quant_inst,[status(thm)],[])).
% 24.78/16.51 tff(13287,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB55)) | (~v130(constB55, bitIndex0))),
% 24.78/16.51 inference(modus_ponens,[status(thm)],[13286, 13285])).
% 24.78/16.51 tff(13288,plain,
% 24.78/16.51 (~v120(constB55)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13287, 2023, 13280])).
% 24.78/16.51 tff(13289,plain,
% 24.78/16.51 (v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex1))),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9343, 1887, 11381])).
% 24.78/16.51 tff(13290,plain,
% 24.78/16.51 ($false),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13289, 13288, 13284, 13274, 13213, 13176, 13170])).
% 24.78/16.51 tff(13291,plain,(v100(constB60) | (~v90(constB60, bitIndex2)) | (~v90(constB60, bitIndex1)) | (~v90(constB60, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 24.78/16.51 tff(13292,plain,
% 24.78/16.51 (v100(constB60)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13291, 11136, 11134, 11116])).
% 24.78/16.51 tff(13293,plain,
% 24.78/16.51 (v129(constB60, bitIndex2) | (~v100(constB60))),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9718, 1845, 11136])).
% 24.78/16.51 tff(13294,plain,
% 24.78/16.51 (v129(constB60, bitIndex2)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13293, 13292])).
% 24.78/16.51 tff(13295,plain,
% 24.78/16.51 (v127(constB59, bitIndex2)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9714, 13294])).
% 24.78/16.51 tff(13296,plain,
% 24.78/16.51 (v130(constB59, bitIndex2)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[9709, 13295])).
% 24.78/16.51 tff(13297,plain,
% 24.78/16.51 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB59)) | (~v130(constB59, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB59)) | (~v130(constB59, bitIndex2)))),
% 24.78/16.51 inference(rewrite,[status(thm)],[])).
% 24.78/16.51 tff(13298,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB59)) | (~v130(constB59, bitIndex2)))),
% 24.78/16.51 inference(quant_inst,[status(thm)],[])).
% 24.78/16.51 tff(13299,plain,
% 24.78/16.51 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB59)) | (~v130(constB59, bitIndex2))),
% 24.78/16.51 inference(modus_ponens,[status(thm)],[13298, 13297])).
% 24.78/16.51 tff(13300,plain,
% 24.78/16.51 (~v124(constB59)),
% 24.78/16.51 inference(unit_resolution,[status(thm)],[13299, 4807, 13296])).
% 24.78/16.51 tff(13301,plain,
% 24.78/16.51 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))),
% 24.78/16.51 inference(rewrite,[status(thm)],[])).
% 24.78/16.51 tff(13302,plain,
% 24.78/16.51 (((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0)) <=> ((~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))),
% 24.78/16.51 inference(rewrite,[status(thm)],[])).
% 24.78/16.51 tff(13303,plain,
% 24.78/16.51 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60))))),
% 24.78/16.52 inference(monotonicity,[status(thm)],[13302])).
% 24.78/16.52 tff(13304,plain,
% 24.78/16.52 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))),
% 24.78/16.52 inference(transitivity,[status(thm)],[13303, 13301])).
% 24.78/16.52 tff(13305,plain,
% 24.78/16.52 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13306,plain,
% 24.78/16.52 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60))),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13305, 13304])).
% 24.78/16.52 tff(13307,plain,
% 24.78/16.52 (v129(constB60, bitIndex0) | (~v100(constB60))),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13306, 1374, 11116])).
% 24.78/16.52 tff(13308,plain,
% 24.78/16.52 (v129(constB60, bitIndex0)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13307, 13292])).
% 24.78/16.52 tff(13309,plain,
% 24.78/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0)))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13310,plain,
% 24.78/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0)))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13311,plain,
% 24.78/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0))),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13310, 13309])).
% 24.78/16.52 tff(13312,plain,
% 24.78/16.52 (v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0))),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13311, 1359, 9667])).
% 24.78/16.52 tff(13313,plain,
% 24.78/16.52 (v127(constB59, bitIndex0)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13312, 13308])).
% 24.78/16.52 tff(13314,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13315,plain,
% 24.78/16.52 ((v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0))) <=> ((~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13316,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0)))),
% 24.78/16.52 inference(monotonicity,[status(thm)],[13315])).
% 24.78/16.52 tff(13317,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))),
% 24.78/16.52 inference(transitivity,[status(thm)],[13316, 13314])).
% 24.78/16.52 tff(13318,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0)))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13319,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0)),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13318, 13317])).
% 24.78/16.52 tff(13320,plain,
% 24.78/16.52 ((~v127(constB59, bitIndex0)) | v130(constB59, bitIndex0)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13319, 1341, 9649])).
% 24.78/16.52 tff(13321,plain,
% 24.78/16.52 (v130(constB59, bitIndex0)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13320, 13313])).
% 24.78/16.52 tff(13322,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB59)) | (~v130(constB59, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB59)) | (~v130(constB59, bitIndex0)))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13323,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB59)) | (~v130(constB59, bitIndex0)))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13324,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB59)) | (~v130(constB59, bitIndex0))),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13323, 13322])).
% 24.78/16.52 tff(13325,plain,
% 24.78/16.52 (~v123(constB59)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13324, 1617, 13321])).
% 24.78/16.52 tff(13326,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB59)) | (~v130(constB59, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB59)) | (~v130(constB59, bitIndex0)))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13327,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB59)) | (~v130(constB59, bitIndex0)))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13328,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB59)) | (~v130(constB59, bitIndex0))),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13327, 13326])).
% 24.78/16.52 tff(13329,plain,
% 24.78/16.52 (~v122(constB59)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13328, 2833, 13321])).
% 24.78/16.52 tff(13330,plain,
% 24.78/16.52 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | v129(constB60, bitIndex1) | (~v100(constB60)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | v129(constB60, bitIndex1) | (~v100(constB60)))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13331,plain,
% 24.78/16.52 (((~v90(constB60, bitIndex1)) | (~v100(constB60)) | v129(constB60, bitIndex1)) <=> ((~v90(constB60, bitIndex1)) | v129(constB60, bitIndex1) | (~v100(constB60)))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13332,plain,
% 24.78/16.52 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | (~v100(constB60)) | v129(constB60, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | v129(constB60, bitIndex1) | (~v100(constB60))))),
% 24.78/16.52 inference(monotonicity,[status(thm)],[13331])).
% 24.78/16.52 tff(13333,plain,
% 24.78/16.52 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | (~v100(constB60)) | v129(constB60, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | v129(constB60, bitIndex1) | (~v100(constB60)))),
% 24.78/16.52 inference(transitivity,[status(thm)],[13332, 13330])).
% 24.78/16.52 tff(13334,plain,
% 24.78/16.52 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | (~v100(constB60)) | v129(constB60, bitIndex1))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13335,plain,
% 24.78/16.52 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | v129(constB60, bitIndex1) | (~v100(constB60))),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13334, 13333])).
% 24.78/16.52 tff(13336,plain,
% 24.78/16.52 (v129(constB60, bitIndex1) | (~v100(constB60))),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13335, 1303, 11134])).
% 24.78/16.52 tff(13337,plain,
% 24.78/16.52 (v129(constB60, bitIndex1)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13336, 13292])).
% 24.78/16.52 tff(13338,plain,
% 24.78/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex1) | (~v129(constB60, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex1) | (~v129(constB60, bitIndex1)))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13339,plain,
% 24.78/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex1) | (~v129(constB60, bitIndex1)))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13340,plain,
% 24.78/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex1) | (~v129(constB60, bitIndex1))),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13339, 13338])).
% 24.78/16.52 tff(13341,plain,
% 24.78/16.52 (v127(constB59, bitIndex1) | (~v129(constB60, bitIndex1))),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13340, 1288, 9667])).
% 24.78/16.52 tff(13342,plain,
% 24.78/16.52 (v127(constB59, bitIndex1)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13341, 13337])).
% 24.78/16.52 tff(13343,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB59, bitIndex1)) | v26(constB59) | v130(constB59, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB59, bitIndex1)) | v26(constB59) | v130(constB59, bitIndex1))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13344,plain,
% 24.78/16.52 ((v26(constB59) | v130(constB59, bitIndex1) | (~v127(constB59, bitIndex1))) <=> ((~v127(constB59, bitIndex1)) | v26(constB59) | v130(constB59, bitIndex1))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13345,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB59) | v130(constB59, bitIndex1) | (~v127(constB59, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB59, bitIndex1)) | v26(constB59) | v130(constB59, bitIndex1)))),
% 24.78/16.52 inference(monotonicity,[status(thm)],[13344])).
% 24.78/16.52 tff(13346,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB59) | v130(constB59, bitIndex1) | (~v127(constB59, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB59, bitIndex1)) | v26(constB59) | v130(constB59, bitIndex1))),
% 24.78/16.52 inference(transitivity,[status(thm)],[13345, 13343])).
% 24.78/16.52 tff(13347,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB59) | v130(constB59, bitIndex1) | (~v127(constB59, bitIndex1)))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13348,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB59, bitIndex1)) | v26(constB59) | v130(constB59, bitIndex1)),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13347, 13346])).
% 24.78/16.52 tff(13349,plain,
% 24.78/16.52 ((~v127(constB59, bitIndex1)) | v130(constB59, bitIndex1)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13348, 1270, 9649])).
% 24.78/16.52 tff(13350,plain,
% 24.78/16.52 (v130(constB59, bitIndex1)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13349, 13342])).
% 24.78/16.52 tff(13351,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB59)) | (~v130(constB59, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB59)) | (~v130(constB59, bitIndex0)))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13352,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB59)) | (~v130(constB59, bitIndex0)))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13353,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB59)) | (~v130(constB59, bitIndex0))),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13352, 13351])).
% 24.78/16.52 tff(13354,plain,
% 24.78/16.52 (~v119(constB59)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13353, 1327, 13321])).
% 24.78/16.52 tff(13355,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB59)) | (~v130(constB59, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB59)) | (~v130(constB59, bitIndex0)))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13356,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB59)) | (~v130(constB59, bitIndex0)))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13357,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB59)) | (~v130(constB59, bitIndex0))),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13356, 13355])).
% 24.78/16.52 tff(13358,plain,
% 24.78/16.52 (~v120(constB59)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13357, 2023, 13321])).
% 24.78/16.52 tff(13359,plain,
% 24.78/16.52 (~v121(constB59)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[10047, 10021, 10019])).
% 24.78/16.52 tff(13360,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB59) | v120(constB59) | v121(constB59) | v122(constB59) | v123(constB59) | v124(constB59) | (~v130(constB59, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB59) | v120(constB59) | v121(constB59) | v122(constB59) | v123(constB59) | v124(constB59) | (~v130(constB59, bitIndex1)))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13361,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB59) | v120(constB59) | v121(constB59) | v122(constB59) | v123(constB59) | v124(constB59) | (~v130(constB59, bitIndex1)))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13362,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB59) | v120(constB59) | v121(constB59) | v122(constB59) | v123(constB59) | v124(constB59) | (~v130(constB59, bitIndex1))),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13361, 13360])).
% 24.78/16.52 tff(13363,plain,
% 24.78/16.52 (v119(constB59) | v120(constB59) | v122(constB59) | v123(constB59) | v124(constB59) | (~v130(constB59, bitIndex1))),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13362, 1887, 13359])).
% 24.78/16.52 tff(13364,plain,
% 24.78/16.52 ($false),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13363, 13358, 13354, 13350, 13329, 13325, 13300])).
% 24.78/16.52 tff(13365,plain,(v100(constB62) | (~v90(constB62, bitIndex2)) | (~v90(constB62, bitIndex1)) | (~v90(constB62, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 24.78/16.52 tff(13366,plain,
% 24.78/16.52 (v100(constB62)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13365, 11098, 11080, 11070])).
% 24.78/16.52 tff(13367,plain,
% 24.78/16.52 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62)))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13368,plain,
% 24.78/16.52 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62)))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13369,plain,
% 24.78/16.52 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62))),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13368, 13367])).
% 24.78/16.52 tff(13370,plain,
% 24.78/16.52 (v129(constB62, bitIndex2) | (~v100(constB62))),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13369, 1845, 11098])).
% 24.78/16.52 tff(13371,plain,
% 24.78/16.52 (v129(constB62, bitIndex2)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13370, 13366])).
% 24.78/16.52 tff(13372,plain,
% 24.78/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2)))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13373,plain,
% 24.78/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2)))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13374,plain,
% 24.78/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2))),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13373, 13372])).
% 24.78/16.52 tff(13375,plain,
% 24.78/16.52 (v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2))),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13374, 1830, 9862])).
% 24.78/16.52 tff(13376,plain,
% 24.78/16.52 (v127(constB61, bitIndex2)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13375, 13371])).
% 24.78/16.52 tff(13377,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13378,plain,
% 24.78/16.52 ((v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2))) <=> ((~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13379,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2)))),
% 24.78/16.52 inference(monotonicity,[status(thm)],[13378])).
% 24.78/16.52 tff(13380,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))),
% 24.78/16.52 inference(transitivity,[status(thm)],[13379, 13377])).
% 24.78/16.52 tff(13381,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2)))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13382,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2)),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13381, 13380])).
% 24.78/16.52 tff(13383,plain,
% 24.78/16.52 ((~v127(constB61, bitIndex2)) | v130(constB61, bitIndex2)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13382, 1812, 9843])).
% 24.78/16.52 tff(13384,plain,
% 24.78/16.52 (v130(constB61, bitIndex2)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13383, 13376])).
% 24.78/16.52 tff(13385,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB61)) | (~v130(constB61, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB61)) | (~v130(constB61, bitIndex2)))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13386,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB61)) | (~v130(constB61, bitIndex2)))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13387,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB61)) | (~v130(constB61, bitIndex2))),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13386, 13385])).
% 24.78/16.52 tff(13388,plain,
% 24.78/16.52 (~v124(constB61)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13387, 4807, 13384])).
% 24.78/16.52 tff(13389,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB61)) | (~v130(constB61, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB61)) | (~v130(constB61, bitIndex2)))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13390,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB61)) | (~v130(constB61, bitIndex2)))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13391,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB61)) | (~v130(constB61, bitIndex2))),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13390, 13389])).
% 24.78/16.52 tff(13392,plain,
% 24.78/16.52 (~v121(constB61)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13391, 2406, 13384])).
% 24.78/16.52 tff(13393,plain,
% 24.78/16.52 (v129(constB62, bitIndex0) | (~v100(constB62))),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[10027, 1374, 11070])).
% 24.78/16.52 tff(13394,plain,
% 24.78/16.52 (v129(constB62, bitIndex0)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13393, 13366])).
% 24.78/16.52 tff(13395,plain,
% 24.78/16.52 (v127(constB61, bitIndex0)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[10033, 13394])).
% 24.78/16.52 tff(13396,plain,
% 24.78/16.52 (v130(constB61, bitIndex0)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[10041, 13395])).
% 24.78/16.52 tff(13397,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB61)) | (~v130(constB61, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB61)) | (~v130(constB61, bitIndex0)))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13398,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB61)) | (~v130(constB61, bitIndex0)))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13399,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB61)) | (~v130(constB61, bitIndex0))),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13398, 13397])).
% 24.78/16.52 tff(13400,plain,
% 24.78/16.52 (~v120(constB61)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13399, 2023, 13396])).
% 24.78/16.52 tff(13401,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB61)) | (~v130(constB61, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB61)) | (~v130(constB61, bitIndex0)))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13402,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB61)) | (~v130(constB61, bitIndex0)))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13403,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB61)) | (~v130(constB61, bitIndex0))),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13402, 13401])).
% 24.78/16.52 tff(13404,plain,
% 24.78/16.52 (~v119(constB61)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13403, 1327, 13396])).
% 24.78/16.52 tff(13405,plain,
% 24.78/16.52 (~v122(constB61)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[10045, 2833, 13396])).
% 24.78/16.52 tff(13406,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB61)) | (~v130(constB61, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB61)) | (~v130(constB61, bitIndex0)))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13407,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB61)) | (~v130(constB61, bitIndex0)))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13408,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB61)) | (~v130(constB61, bitIndex0))),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13407, 13406])).
% 24.78/16.52 tff(13409,plain,
% 24.78/16.52 (~v123(constB61)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13408, 1617, 13396])).
% 24.78/16.52 tff(13410,plain,
% 24.78/16.52 (v129(constB62, bitIndex1) | (~v100(constB62))),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[9978, 1303, 11080])).
% 24.78/16.52 tff(13411,plain,
% 24.78/16.52 (v129(constB62, bitIndex1)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13410, 13366])).
% 24.78/16.52 tff(13412,plain,
% 24.78/16.52 (v127(constB61, bitIndex1)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[9971, 13411])).
% 24.78/16.52 tff(13413,plain,
% 24.78/16.52 (v130(constB61, bitIndex1)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[9966, 13412])).
% 24.78/16.52 tff(13414,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1)))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13415,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1)))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13416,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1))),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13415, 13414])).
% 24.78/16.52 tff(13417,plain,
% 24.78/16.52 (v121(constB61) | v124(constB61)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13416, 1887, 13413, 13409, 13405, 13404, 13400])).
% 24.78/16.52 tff(13418,plain,
% 24.78/16.52 ($false),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13417, 13392, 13388])).
% 24.78/16.52 tff(13419,plain,(v100(constB64) | (~v90(constB64, bitIndex2)) | (~v90(constB64, bitIndex1)) | (~v90(constB64, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 24.78/16.52 tff(13420,plain,
% 24.78/16.52 (v100(constB64)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13419, 11059, 11041, 11023])).
% 24.78/16.52 tff(13421,plain,
% 24.78/16.52 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64)))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13422,plain,
% 24.78/16.52 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64)))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13423,plain,
% 24.78/16.52 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64))),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13422, 13421])).
% 24.78/16.52 tff(13424,plain,
% 24.78/16.52 (v129(constB64, bitIndex2) | (~v100(constB64))),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13423, 1845, 11059])).
% 24.78/16.52 tff(13425,plain,
% 24.78/16.52 (v129(constB64, bitIndex2)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13424, 13420])).
% 24.78/16.52 tff(13426,plain,
% 24.78/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2)))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13427,plain,
% 24.78/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2)))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13428,plain,
% 24.78/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2))),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13427, 13426])).
% 24.78/16.52 tff(13429,plain,
% 24.78/16.52 (v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2))),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13428, 1830, 10098])).
% 24.78/16.52 tff(13430,plain,
% 24.78/16.52 (v127(constB63, bitIndex2)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13429, 13425])).
% 24.78/16.52 tff(13431,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13432,plain,
% 24.78/16.52 ((v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2))) <=> ((~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13433,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2)))),
% 24.78/16.52 inference(monotonicity,[status(thm)],[13432])).
% 24.78/16.52 tff(13434,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))),
% 24.78/16.52 inference(transitivity,[status(thm)],[13433, 13431])).
% 24.78/16.52 tff(13435,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2)))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13436,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2)),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13435, 13434])).
% 24.78/16.52 tff(13437,plain,
% 24.78/16.52 ((~v127(constB63, bitIndex2)) | v130(constB63, bitIndex2)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13436, 1812, 10083])).
% 24.78/16.52 tff(13438,plain,
% 24.78/16.52 (v130(constB63, bitIndex2)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13437, 13430])).
% 24.78/16.52 tff(13439,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB63)) | (~v130(constB63, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB63)) | (~v130(constB63, bitIndex2)))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13440,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB63)) | (~v130(constB63, bitIndex2)))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13441,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB63)) | (~v130(constB63, bitIndex2))),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13440, 13439])).
% 24.78/16.52 tff(13442,plain,
% 24.78/16.52 (~v124(constB63)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13441, 4807, 13438])).
% 24.78/16.52 tff(13443,plain,
% 24.78/16.52 (v129(constB64, bitIndex0) | (~v100(constB64))),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[10280, 1374, 11023])).
% 24.78/16.52 tff(13444,plain,
% 24.78/16.52 (v129(constB64, bitIndex0)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13443, 13420])).
% 24.78/16.52 tff(13445,plain,
% 24.78/16.52 (v127(constB63, bitIndex0)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[10273, 13444])).
% 24.78/16.52 tff(13446,plain,
% 24.78/16.52 (v130(constB63, bitIndex0)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[10268, 13445])).
% 24.78/16.52 tff(13447,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB63)) | (~v130(constB63, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB63)) | (~v130(constB63, bitIndex0)))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13448,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB63)) | (~v130(constB63, bitIndex0)))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13449,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB63)) | (~v130(constB63, bitIndex0))),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13448, 13447])).
% 24.78/16.52 tff(13450,plain,
% 24.78/16.52 (~v122(constB63)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13449, 2833, 13446])).
% 24.78/16.52 tff(13451,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB63)) | (~v130(constB63, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB63)) | (~v130(constB63, bitIndex2)))),
% 24.78/16.52 inference(rewrite,[status(thm)],[])).
% 24.78/16.52 tff(13452,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB63)) | (~v130(constB63, bitIndex2)))),
% 24.78/16.52 inference(quant_inst,[status(thm)],[])).
% 24.78/16.52 tff(13453,plain,
% 24.78/16.52 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB63)) | (~v130(constB63, bitIndex2))),
% 24.78/16.52 inference(modus_ponens,[status(thm)],[13452, 13451])).
% 24.78/16.52 tff(13454,plain,
% 24.78/16.52 (~v121(constB63)),
% 24.78/16.52 inference(unit_resolution,[status(thm)],[13453, 2406, 13438])).
% 24.78/16.52 tff(13455,plain,
% 24.78/16.52 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB63)) | (~v130(constB63, bitIndex2)))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13456,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex2)))),
% 24.78/16.53 inference(quant_inst,[status(thm)],[])).
% 24.78/16.53 tff(13457,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB63)) | (~v130(constB63, bitIndex2))),
% 24.78/16.53 inference(modus_ponens,[status(thm)],[13456, 13455])).
% 24.78/16.53 tff(13458,plain,
% 24.78/16.53 (~v120(constB63)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13457, 2231, 13438])).
% 24.78/16.53 tff(13459,plain,
% 24.78/16.53 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB63)) | (~v130(constB63, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB63)) | (~v130(constB63, bitIndex0)))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13460,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB63)) | (~v130(constB63, bitIndex0)))),
% 24.78/16.53 inference(quant_inst,[status(thm)],[])).
% 24.78/16.53 tff(13461,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB63)) | (~v130(constB63, bitIndex0))),
% 24.78/16.53 inference(modus_ponens,[status(thm)],[13460, 13459])).
% 24.78/16.53 tff(13462,plain,
% 24.78/16.53 (~v119(constB63)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13461, 1327, 13446])).
% 24.78/16.53 tff(13463,assumption,(~v123(constB63)), introduced(assumption)).
% 24.78/16.53 tff(13464,plain,
% 24.78/16.53 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB63) | v120(constB63) | v121(constB63) | v122(constB63) | v123(constB63) | v124(constB63) | (~v130(constB63, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB63) | v120(constB63) | v121(constB63) | v122(constB63) | v123(constB63) | v124(constB63) | (~v130(constB63, bitIndex2)))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13465,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB63) | v120(constB63) | v121(constB63) | v122(constB63) | v123(constB63) | v124(constB63) | (~v130(constB63, bitIndex2)))),
% 24.78/16.53 inference(quant_inst,[status(thm)],[])).
% 24.78/16.53 tff(13466,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB63) | v120(constB63) | v121(constB63) | v122(constB63) | v123(constB63) | v124(constB63) | (~v130(constB63, bitIndex2))),
% 24.78/16.53 inference(modus_ponens,[status(thm)],[13465, 13464])).
% 24.78/16.53 tff(13467,plain,
% 24.78/16.53 (v119(constB63) | v120(constB63) | v121(constB63) | v122(constB63) | v124(constB63) | (~v130(constB63, bitIndex2))),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13466, 1798, 13463])).
% 24.78/16.53 tff(13468,plain,
% 24.78/16.53 ($false),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13467, 13462, 13458, 13438, 13454, 13450, 13442])).
% 24.78/16.53 tff(13469,plain,(v100(constB66) | v123(constB63) | (~v90(constB66, bitIndex1)) | (~v90(constB66, bitIndex0)) | (~v90(constB66, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 24.78/16.53 tff(13470,plain,
% 24.78/16.53 (v100(constB66)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13469, 11012, 11010, 10941, 10923])).
% 24.78/16.53 tff(13471,plain,
% 24.78/16.53 (v129(constB66, bitIndex2) | (~v100(constB66))),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[10356, 1845, 10923])).
% 24.78/16.53 tff(13472,plain,
% 24.78/16.53 (v129(constB66, bitIndex2)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13471, 13470])).
% 24.78/16.53 tff(13473,plain,
% 24.78/16.53 (v127(constB65, bitIndex2)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[10256, 13472])).
% 24.78/16.53 tff(13474,plain,
% 24.78/16.53 (v130(constB65, bitIndex2)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[10248, 13473])).
% 24.78/16.53 tff(13475,plain,
% 24.78/16.53 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB65)) | (~v130(constB65, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB65)) | (~v130(constB65, bitIndex2)))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13476,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB65)) | (~v130(constB65, bitIndex2)))),
% 24.78/16.53 inference(quant_inst,[status(thm)],[])).
% 24.78/16.53 tff(13477,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB65)) | (~v130(constB65, bitIndex2))),
% 24.78/16.53 inference(modus_ponens,[status(thm)],[13476, 13475])).
% 24.78/16.53 tff(13478,plain,
% 24.78/16.53 (~v124(constB65)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13477, 4807, 13474])).
% 24.78/16.53 tff(13479,plain,
% 24.78/16.53 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB65)) | (~v130(constB65, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB65)) | (~v130(constB65, bitIndex2)))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13480,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB65)) | (~v130(constB65, bitIndex2)))),
% 24.78/16.53 inference(quant_inst,[status(thm)],[])).
% 24.78/16.53 tff(13481,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB65)) | (~v130(constB65, bitIndex2))),
% 24.78/16.53 inference(modus_ponens,[status(thm)],[13480, 13479])).
% 24.78/16.53 tff(13482,plain,
% 24.78/16.53 (~v121(constB65)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13481, 2406, 13474])).
% 24.78/16.53 tff(13483,plain,
% 24.78/16.53 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | v129(constB66, bitIndex0) | (~v100(constB66)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | v129(constB66, bitIndex0) | (~v100(constB66)))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13484,plain,
% 24.78/16.53 (((~v90(constB66, bitIndex0)) | (~v100(constB66)) | v129(constB66, bitIndex0)) <=> ((~v90(constB66, bitIndex0)) | v129(constB66, bitIndex0) | (~v100(constB66)))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13485,plain,
% 24.78/16.53 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | (~v100(constB66)) | v129(constB66, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | v129(constB66, bitIndex0) | (~v100(constB66))))),
% 24.78/16.53 inference(monotonicity,[status(thm)],[13484])).
% 24.78/16.53 tff(13486,plain,
% 24.78/16.53 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | (~v100(constB66)) | v129(constB66, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | v129(constB66, bitIndex0) | (~v100(constB66)))),
% 24.78/16.53 inference(transitivity,[status(thm)],[13485, 13483])).
% 24.78/16.53 tff(13487,plain,
% 24.78/16.53 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | (~v100(constB66)) | v129(constB66, bitIndex0))),
% 24.78/16.53 inference(quant_inst,[status(thm)],[])).
% 24.78/16.53 tff(13488,plain,
% 24.78/16.53 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | v129(constB66, bitIndex0) | (~v100(constB66))),
% 24.78/16.53 inference(modus_ponens,[status(thm)],[13487, 13486])).
% 24.78/16.53 tff(13489,plain,
% 24.78/16.53 (v129(constB66, bitIndex0) | (~v100(constB66))),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13488, 1374, 10941])).
% 24.78/16.53 tff(13490,plain,
% 24.78/16.53 (v129(constB66, bitIndex0)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13489, 13470])).
% 24.78/16.53 tff(13491,plain,
% 24.78/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex0) | (~v129(constB66, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex0) | (~v129(constB66, bitIndex0)))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13492,plain,
% 24.78/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex0) | (~v129(constB66, bitIndex0)))),
% 24.78/16.53 inference(quant_inst,[status(thm)],[])).
% 24.78/16.53 tff(13493,plain,
% 24.78/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex0) | (~v129(constB66, bitIndex0))),
% 24.78/16.53 inference(modus_ponens,[status(thm)],[13492, 13491])).
% 24.78/16.53 tff(13494,plain,
% 24.78/16.53 (v127(constB65, bitIndex0) | (~v129(constB66, bitIndex0))),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13493, 1359, 10252])).
% 24.78/16.53 tff(13495,plain,
% 24.78/16.53 (v127(constB65, bitIndex0)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13494, 13490])).
% 24.78/16.53 tff(13496,plain,
% 24.78/16.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB65, bitIndex0)) | v26(constB65) | v130(constB65, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB65, bitIndex0)) | v26(constB65) | v130(constB65, bitIndex0))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13497,plain,
% 24.78/16.53 ((v26(constB65) | v130(constB65, bitIndex0) | (~v127(constB65, bitIndex0))) <=> ((~v127(constB65, bitIndex0)) | v26(constB65) | v130(constB65, bitIndex0))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13498,plain,
% 24.78/16.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB65) | v130(constB65, bitIndex0) | (~v127(constB65, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB65, bitIndex0)) | v26(constB65) | v130(constB65, bitIndex0)))),
% 24.78/16.53 inference(monotonicity,[status(thm)],[13497])).
% 24.78/16.53 tff(13499,plain,
% 24.78/16.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB65) | v130(constB65, bitIndex0) | (~v127(constB65, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB65, bitIndex0)) | v26(constB65) | v130(constB65, bitIndex0))),
% 24.78/16.53 inference(transitivity,[status(thm)],[13498, 13496])).
% 24.78/16.53 tff(13500,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB65) | v130(constB65, bitIndex0) | (~v127(constB65, bitIndex0)))),
% 24.78/16.53 inference(quant_inst,[status(thm)],[])).
% 24.78/16.53 tff(13501,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB65, bitIndex0)) | v26(constB65) | v130(constB65, bitIndex0)),
% 24.78/16.53 inference(modus_ponens,[status(thm)],[13500, 13499])).
% 24.78/16.53 tff(13502,plain,
% 24.78/16.53 ((~v127(constB65, bitIndex0)) | v130(constB65, bitIndex0)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13501, 1341, 10241])).
% 24.78/16.53 tff(13503,plain,
% 24.78/16.53 (v130(constB65, bitIndex0)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13502, 13495])).
% 24.78/16.53 tff(13504,plain,
% 24.78/16.53 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB65)) | (~v130(constB65, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB65)) | (~v130(constB65, bitIndex0)))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13505,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB65)) | (~v130(constB65, bitIndex0)))),
% 24.78/16.53 inference(quant_inst,[status(thm)],[])).
% 24.78/16.53 tff(13506,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB65)) | (~v130(constB65, bitIndex0))),
% 24.78/16.53 inference(modus_ponens,[status(thm)],[13505, 13504])).
% 24.78/16.53 tff(13507,plain,
% 24.78/16.53 (~v120(constB65)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13506, 2023, 13503])).
% 24.78/16.53 tff(13508,plain,
% 24.78/16.53 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB65)) | (~v130(constB65, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB65)) | (~v130(constB65, bitIndex0)))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13509,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB65)) | (~v130(constB65, bitIndex0)))),
% 24.78/16.53 inference(quant_inst,[status(thm)],[])).
% 24.78/16.53 tff(13510,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB65)) | (~v130(constB65, bitIndex0))),
% 24.78/16.53 inference(modus_ponens,[status(thm)],[13509, 13508])).
% 24.78/16.53 tff(13511,plain,
% 24.78/16.53 (~v122(constB65)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13510, 2833, 13503])).
% 24.78/16.53 tff(13512,plain,
% 24.78/16.53 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB65)) | (~v130(constB65, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB65)) | (~v130(constB65, bitIndex0)))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13513,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB65)) | (~v130(constB65, bitIndex0)))),
% 24.78/16.53 inference(quant_inst,[status(thm)],[])).
% 24.78/16.53 tff(13514,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB65)) | (~v130(constB65, bitIndex0))),
% 24.78/16.53 inference(modus_ponens,[status(thm)],[13513, 13512])).
% 24.78/16.53 tff(13515,plain,
% 24.78/16.53 (~v123(constB65)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13514, 1617, 13503])).
% 24.78/16.53 tff(13516,assumption,(v119(constB65)), introduced(assumption)).
% 24.78/16.53 tff(13517,plain,
% 24.78/16.53 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB65)) | (~v130(constB65, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB65)) | (~v130(constB65, bitIndex0)))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13518,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB65)) | (~v130(constB65, bitIndex0)))),
% 24.78/16.53 inference(quant_inst,[status(thm)],[])).
% 24.78/16.53 tff(13519,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB65)) | (~v130(constB65, bitIndex0))),
% 24.78/16.53 inference(modus_ponens,[status(thm)],[13518, 13517])).
% 24.78/16.53 tff(13520,plain,
% 24.78/16.53 (~v130(constB65, bitIndex0)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13519, 1327, 13516])).
% 24.78/16.53 tff(13521,plain,
% 24.78/16.53 (~v127(constB65, bitIndex0)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13502, 13520])).
% 24.78/16.53 tff(13522,plain,
% 24.78/16.53 (~v129(constB66, bitIndex0)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13494, 13521])).
% 24.78/16.53 tff(13523,assumption,(v100(constB66)), introduced(assumption)).
% 24.78/16.53 tff(13524,plain,
% 24.78/16.53 ((~v90(constB66, bitIndex0)) | v129(constB66, bitIndex0)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13488, 1374, 13523])).
% 24.78/16.53 tff(13525,plain,
% 24.78/16.53 (~v90(constB66, bitIndex0)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13524, 13522])).
% 24.78/16.53 tff(13526,plain,
% 24.78/16.53 (~v90(constB67, bitIndex0)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[10940, 13525])).
% 24.78/16.53 tff(13527,plain,
% 24.78/16.53 (v100(constB68)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[10931, 13526, 10924])).
% 24.78/16.53 tff(13528,plain,
% 24.78/16.53 (v129(constB68, bitIndex0)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[11004, 13527])).
% 24.78/16.53 tff(13529,plain,
% 24.78/16.53 (v127(constB67, bitIndex0)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[10639, 13528])).
% 24.78/16.53 tff(13530,plain,
% 24.78/16.53 (v130(constB67, bitIndex0)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[10634, 13529])).
% 24.78/16.53 tff(13531,plain,
% 24.78/16.53 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB67)) | (~v130(constB67, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB67)) | (~v130(constB67, bitIndex0)))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13532,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB67)) | (~v130(constB67, bitIndex0)))),
% 24.78/16.53 inference(quant_inst,[status(thm)],[])).
% 24.78/16.53 tff(13533,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB67)) | (~v130(constB67, bitIndex0))),
% 24.78/16.53 inference(modus_ponens,[status(thm)],[13532, 13531])).
% 24.78/16.53 tff(13534,plain,
% 24.78/16.53 (~v123(constB67)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13533, 1617, 13530])).
% 24.78/16.53 tff(13535,plain,
% 24.78/16.53 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB65)) | v130(constB65, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB65)) | v130(constB65, bitIndex2))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13536,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB65)) | v130(constB65, bitIndex2))),
% 24.78/16.53 inference(quant_inst,[status(thm)],[])).
% 24.78/16.53 tff(13537,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB65)) | v130(constB65, bitIndex2)),
% 24.78/16.53 inference(modus_ponens,[status(thm)],[13536, 13535])).
% 24.78/16.53 tff(13538,plain,
% 24.78/16.53 (v130(constB65, bitIndex2)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13537, 1160, 13516])).
% 24.78/16.53 tff(13539,plain,
% 24.78/16.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB65) | (~v130(constB65, bitIndex2)) | v127(constB65, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB65) | (~v130(constB65, bitIndex2)) | v127(constB65, bitIndex2))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13540,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB65) | (~v130(constB65, bitIndex2)) | v127(constB65, bitIndex2))),
% 24.78/16.53 inference(quant_inst,[status(thm)],[])).
% 24.78/16.53 tff(13541,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB65) | (~v130(constB65, bitIndex2)) | v127(constB65, bitIndex2)),
% 24.78/16.53 inference(modus_ponens,[status(thm)],[13540, 13539])).
% 24.78/16.53 tff(13542,plain,
% 24.78/16.53 ((~v130(constB65, bitIndex2)) | v127(constB65, bitIndex2)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13541, 1174, 10241])).
% 24.78/16.53 tff(13543,plain,
% 24.78/16.53 (v127(constB65, bitIndex2)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13542, 13538])).
% 24.78/16.53 tff(13544,plain,
% 24.78/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex2)) | v129(constB66, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex2)) | v129(constB66, bitIndex2))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13545,plain,
% 24.78/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex2)) | v129(constB66, bitIndex2))),
% 24.78/16.53 inference(quant_inst,[status(thm)],[])).
% 24.78/16.53 tff(13546,plain,
% 24.78/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex2)) | v129(constB66, bitIndex2)),
% 24.78/16.53 inference(modus_ponens,[status(thm)],[13545, 13544])).
% 24.78/16.53 tff(13547,plain,
% 24.78/16.53 ((~v127(constB65, bitIndex2)) | v129(constB66, bitIndex2)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13546, 1189, 10252])).
% 24.78/16.53 tff(13548,plain,
% 24.78/16.53 (v129(constB66, bitIndex2)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13547, 13543])).
% 24.78/16.53 tff(13549,plain,
% 24.78/16.53 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB66, bitIndex2) | (~v129(constB66, bitIndex2)) | (~v100(constB66)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB66, bitIndex2) | (~v129(constB66, bitIndex2)) | (~v100(constB66)))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13550,plain,
% 24.78/16.53 ((v90(constB66, bitIndex2) | (~v100(constB66)) | (~v129(constB66, bitIndex2))) <=> (v90(constB66, bitIndex2) | (~v129(constB66, bitIndex2)) | (~v100(constB66)))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13551,plain,
% 24.78/16.53 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB66, bitIndex2) | (~v100(constB66)) | (~v129(constB66, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB66, bitIndex2) | (~v129(constB66, bitIndex2)) | (~v100(constB66))))),
% 24.78/16.53 inference(monotonicity,[status(thm)],[13550])).
% 24.78/16.53 tff(13552,plain,
% 24.78/16.53 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB66, bitIndex2) | (~v100(constB66)) | (~v129(constB66, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB66, bitIndex2) | (~v129(constB66, bitIndex2)) | (~v100(constB66)))),
% 24.78/16.53 inference(transitivity,[status(thm)],[13551, 13549])).
% 24.78/16.53 tff(13553,plain,
% 24.78/16.53 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB66, bitIndex2) | (~v100(constB66)) | (~v129(constB66, bitIndex2)))),
% 24.78/16.53 inference(quant_inst,[status(thm)],[])).
% 24.78/16.53 tff(13554,plain,
% 24.78/16.53 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB66, bitIndex2) | (~v129(constB66, bitIndex2)) | (~v100(constB66))),
% 24.78/16.53 inference(modus_ponens,[status(thm)],[13553, 13552])).
% 24.78/16.53 tff(13555,plain,
% 24.78/16.53 (v90(constB66, bitIndex2) | (~v129(constB66, bitIndex2))),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13554, 1204, 13523])).
% 24.78/16.53 tff(13556,plain,
% 24.78/16.53 (v90(constB66, bitIndex2)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13555, 13548])).
% 24.78/16.53 tff(13557,plain,
% 24.78/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB66, bitIndex2)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB66, bitIndex2)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex2))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13558,plain,
% 24.78/16.53 (((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex2)) | v100(constB67) | v90(constB67, bitIndex2)) <=> ((~v90(constB66, bitIndex2)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex2))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13559,plain,
% 24.78/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex2)) | v100(constB67) | v90(constB67, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB66, bitIndex2)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex2)))),
% 24.78/16.53 inference(monotonicity,[status(thm)],[13558])).
% 24.78/16.53 tff(13560,plain,
% 24.78/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex2)) | v100(constB67) | v90(constB67, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB66, bitIndex2)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex2))),
% 24.78/16.53 inference(transitivity,[status(thm)],[13559, 13557])).
% 24.78/16.53 tff(13561,plain,
% 24.78/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex2)) | v100(constB67) | v90(constB67, bitIndex2))),
% 24.78/16.53 inference(quant_inst,[status(thm)],[])).
% 24.78/16.53 tff(13562,plain,
% 24.78/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB66, bitIndex2)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex2)),
% 24.78/16.53 inference(modus_ponens,[status(thm)],[13561, 13560])).
% 24.78/16.53 tff(13563,plain,
% 24.78/16.53 ((~v90(constB66, bitIndex2)) | v100(constB67) | v90(constB67, bitIndex2)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13562, 1240, 10363])).
% 24.78/16.53 tff(13564,plain,
% 24.78/16.53 ((~v90(constB66, bitIndex2)) | v90(constB67, bitIndex2)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13563, 10375])).
% 24.78/16.53 tff(13565,plain,
% 24.78/16.53 (v90(constB67, bitIndex2)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13564, 13556])).
% 24.78/16.53 tff(13566,plain,
% 24.78/16.53 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB65)) | (~v130(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB65)) | (~v130(constB65, bitIndex1)))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13567,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB65)) | (~v130(constB65, bitIndex1)))),
% 24.78/16.53 inference(quant_inst,[status(thm)],[])).
% 24.78/16.53 tff(13568,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB65)) | (~v130(constB65, bitIndex1))),
% 24.78/16.53 inference(modus_ponens,[status(thm)],[13567, 13566])).
% 24.78/16.53 tff(13569,plain,
% 24.78/16.53 (~v130(constB65, bitIndex1)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13568, 1256, 13516])).
% 24.78/16.53 tff(13570,plain,
% 24.78/16.53 (~v127(constB65, bitIndex1)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[10395, 13569])).
% 24.78/16.53 tff(13571,plain,
% 24.78/16.53 (~v129(constB66, bitIndex1)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[10400, 13570])).
% 24.78/16.53 tff(13572,plain,
% 24.78/16.53 ((~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[10407, 1303, 13523])).
% 24.78/16.53 tff(13573,plain,
% 24.78/16.53 (~v90(constB66, bitIndex1)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13572, 13571])).
% 24.78/16.53 tff(13574,plain,
% 24.78/16.53 (~v90(constB67, bitIndex1)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[10416, 13573])).
% 24.78/16.53 tff(13575,plain,
% 24.78/16.53 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB67, bitIndex0) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex2)) | v123(constB67))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB67, bitIndex0) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex2)) | v123(constB67))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13576,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB67, bitIndex0) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex2)) | v123(constB67))),
% 24.78/16.53 inference(quant_inst,[status(thm)],[])).
% 24.78/16.53 tff(13577,plain,
% 24.78/16.53 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB67, bitIndex0) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex2)) | v123(constB67)),
% 24.78/16.53 inference(modus_ponens,[status(thm)],[13576, 13575])).
% 24.78/16.53 tff(13578,plain,
% 24.78/16.53 ($false),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13577, 1401, 13526, 13574, 13565, 13534])).
% 24.78/16.53 tff(13579,plain,((~v119(constB65)) | (~v90(constB68, bitIndex0)) | (~v100(constB66))), inference(lemma,lemma(discharge,[]))).
% 24.78/16.53 tff(13580,plain,
% 24.78/16.53 (~v119(constB65)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13579, 13470, 10924])).
% 24.78/16.53 tff(13581,plain,
% 24.78/16.53 (v129(constB66, bitIndex1) | (~v100(constB66))),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[10407, 1303, 11012])).
% 24.78/16.53 tff(13582,plain,
% 24.78/16.53 (v129(constB66, bitIndex1)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13581, 13470])).
% 24.78/16.53 tff(13583,plain,
% 24.78/16.53 (v127(constB65, bitIndex1)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[10400, 13582])).
% 24.78/16.53 tff(13584,plain,
% 24.78/16.53 (v130(constB65, bitIndex1)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[10395, 13583])).
% 24.78/16.53 tff(13585,plain,
% 24.78/16.53 (v121(constB65) | v124(constB65)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[10387, 1887, 13584, 13580, 13515, 13511, 13507])).
% 24.78/16.53 tff(13586,plain,
% 24.78/16.53 ($false),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13585, 13482, 13478])).
% 24.78/16.53 tff(13587,plain,(v100(constB68) | (~v90(constB68, bitIndex0)) | (~v90(constB68, bitIndex2)) | (~v90(constB68, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 24.78/16.53 tff(13588,plain,
% 24.78/16.53 (v100(constB68)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13587, 10912, 10911, 10877])).
% 24.78/16.53 tff(13589,plain,
% 24.78/16.53 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68)))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13590,plain,
% 24.78/16.53 (((~v90(constB68, bitIndex1)) | (~v100(constB68)) | v129(constB68, bitIndex1)) <=> ((~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68)))),
% 24.78/16.53 inference(rewrite,[status(thm)],[])).
% 24.78/16.53 tff(13591,plain,
% 24.78/16.53 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | (~v100(constB68)) | v129(constB68, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68))))),
% 24.78/16.53 inference(monotonicity,[status(thm)],[13590])).
% 24.78/16.53 tff(13592,plain,
% 24.78/16.53 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | (~v100(constB68)) | v129(constB68, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68)))),
% 24.78/16.53 inference(transitivity,[status(thm)],[13591, 13589])).
% 24.78/16.53 tff(13593,plain,
% 24.78/16.53 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | (~v100(constB68)) | v129(constB68, bitIndex1))),
% 24.78/16.53 inference(quant_inst,[status(thm)],[])).
% 24.78/16.53 tff(13594,plain,
% 24.78/16.53 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68))),
% 24.78/16.53 inference(modus_ponens,[status(thm)],[13593, 13592])).
% 24.78/16.53 tff(13595,plain,
% 24.78/16.53 (v129(constB68, bitIndex1) | (~v100(constB68))),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13594, 1303, 10877])).
% 24.78/16.53 tff(13596,plain,
% 24.78/16.53 (v129(constB68, bitIndex1)),
% 24.78/16.53 inference(unit_resolution,[status(thm)],[13595, 13588])).
% 24.78/16.53 tff(13597,plain,
% 24.78/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1)))),
% 24.78/16.54 inference(rewrite,[status(thm)],[])).
% 24.78/16.54 tff(13598,plain,
% 24.78/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1)))),
% 24.78/16.54 inference(quant_inst,[status(thm)],[])).
% 24.78/16.54 tff(13599,plain,
% 24.78/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1))),
% 24.78/16.54 inference(modus_ponens,[status(thm)],[13598, 13597])).
% 24.78/16.54 tff(13600,plain,
% 24.78/16.54 (v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1))),
% 24.78/16.54 inference(unit_resolution,[status(thm)],[13599, 1288, 10509])).
% 24.78/16.54 tff(13601,plain,
% 24.78/16.54 (v127(constB67, bitIndex1)),
% 24.78/16.54 inference(unit_resolution,[status(thm)],[13600, 13596])).
% 24.78/16.54 tff(13602,plain,
% 24.78/16.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1))),
% 24.78/16.54 inference(rewrite,[status(thm)],[])).
% 24.78/16.54 tff(13603,plain,
% 24.78/16.54 ((v26(constB67) | v130(constB67, bitIndex1) | (~v127(constB67, bitIndex1))) <=> ((~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1))),
% 24.78/16.54 inference(rewrite,[status(thm)],[])).
% 24.78/16.54 tff(13604,plain,
% 24.78/16.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB67) | v130(constB67, bitIndex1) | (~v127(constB67, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1)))),
% 24.78/16.54 inference(monotonicity,[status(thm)],[13603])).
% 24.78/16.54 tff(13605,plain,
% 24.78/16.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB67) | v130(constB67, bitIndex1) | (~v127(constB67, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1))),
% 24.78/16.54 inference(transitivity,[status(thm)],[13604, 13602])).
% 24.78/16.54 tff(13606,plain,
% 24.78/16.54 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB67) | v130(constB67, bitIndex1) | (~v127(constB67, bitIndex1)))),
% 24.78/16.54 inference(quant_inst,[status(thm)],[])).
% 24.78/16.54 tff(13607,plain,
% 24.78/16.54 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1)),
% 24.78/16.54 inference(modus_ponens,[status(thm)],[13606, 13605])).
% 24.78/16.54 tff(13608,plain,
% 24.78/16.54 ((~v127(constB67, bitIndex1)) | v130(constB67, bitIndex1)),
% 24.78/16.54 inference(unit_resolution,[status(thm)],[13607, 1270, 10491])).
% 24.78/16.54 tff(13609,plain,
% 24.78/16.54 (v130(constB67, bitIndex1)),
% 24.78/16.54 inference(unit_resolution,[status(thm)],[13608, 13601])).
% 24.78/16.54 tff(13610,plain,
% 24.78/16.54 (v129(constB68, bitIndex2) | (~v100(constB68))),
% 24.78/16.54 inference(unit_resolution,[status(thm)],[10563, 1845, 10911])).
% 24.78/16.54 tff(13611,plain,
% 24.78/16.54 (v129(constB68, bitIndex2)),
% 24.78/16.54 inference(unit_resolution,[status(thm)],[13610, 13588])).
% 24.78/16.54 tff(13612,plain,
% 24.78/16.54 (v127(constB67, bitIndex2)),
% 24.78/16.54 inference(unit_resolution,[status(thm)],[10559, 13611])).
% 24.78/16.54 tff(13613,plain,
% 24.78/16.54 (v130(constB67, bitIndex2)),
% 24.78/16.54 inference(unit_resolution,[status(thm)],[10554, 13612])).
% 24.78/16.54 tff(13614,plain,
% 24.78/16.54 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB67)) | (~v130(constB67, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB67)) | (~v130(constB67, bitIndex2)))),
% 24.78/16.54 inference(rewrite,[status(thm)],[])).
% 24.78/16.54 tff(13615,plain,
% 24.78/16.54 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB67)) | (~v130(constB67, bitIndex2)))),
% 24.78/16.54 inference(quant_inst,[status(thm)],[])).
% 24.78/16.54 tff(13616,plain,
% 24.78/16.54 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB67)) | (~v130(constB67, bitIndex2))),
% 24.78/16.54 inference(modus_ponens,[status(thm)],[13615, 13614])).
% 24.78/16.54 tff(13617,plain,
% 24.78/16.54 (~v124(constB67)),
% 24.78/16.54 inference(unit_resolution,[status(thm)],[13616, 4807, 13613])).
% 24.78/16.54 tff(13618,plain,
% 24.78/16.54 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB67)) | (~v130(constB67, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB67)) | (~v130(constB67, bitIndex2)))),
% 24.78/16.54 inference(rewrite,[status(thm)],[])).
% 24.78/16.54 tff(13619,plain,
% 24.78/16.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB67)) | (~v130(constB67, bitIndex2)))),
% 24.78/16.54 inference(quant_inst,[status(thm)],[])).
% 24.78/16.54 tff(13620,plain,
% 24.78/16.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB67)) | (~v130(constB67, bitIndex2))),
% 24.78/16.54 inference(modus_ponens,[status(thm)],[13619, 13618])).
% 24.78/16.54 tff(13621,plain,
% 24.78/16.54 (~v121(constB67)),
% 24.78/16.54 inference(unit_resolution,[status(thm)],[13620, 2406, 13613])).
% 24.78/16.54 tff(13622,assumption,(~v130(constB67, bitIndex0)), introduced(assumption)).
% 24.78/16.54 tff(13623,plain,
% 24.78/16.54 (~v127(constB67, bitIndex0)),
% 24.78/16.54 inference(unit_resolution,[status(thm)],[10634, 13622])).
% 24.78/16.54 tff(13624,plain,
% 24.78/16.54 (~v129(constB68, bitIndex0)),
% 24.78/16.54 inference(unit_resolution,[status(thm)],[10639, 13623])).
% 24.78/16.54 tff(13625,plain,
% 24.78/16.54 (~v100(constB68)),
% 24.78/16.54 inference(unit_resolution,[status(thm)],[11004, 13624])).
% 24.78/16.54 tff(13626,plain,
% 24.78/16.54 (v90(constB67, bitIndex2)),
% 24.78/16.54 inference(unit_resolution,[status(thm)],[10921, 13625, 10913])).
% 24.78/16.54 tff(13627,plain,
% 24.78/16.54 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB67)) | (~v90(constB67, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB67)) | (~v90(constB67, bitIndex2)))),
% 24.78/16.54 inference(rewrite,[status(thm)],[])).
% 24.78/16.54 tff(13628,plain,
% 24.78/16.54 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB67)) | (~v90(constB67, bitIndex2)))),
% 24.78/16.54 inference(quant_inst,[status(thm)],[])).
% 24.78/16.54 tff(13629,plain,
% 24.78/16.54 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB67)) | (~v90(constB67, bitIndex2))),
% 24.78/16.54 inference(modus_ponens,[status(thm)],[13628, 13627])).
% 24.78/16.54 tff(13630,plain,
% 24.78/16.54 (~v122(constB67)),
% 24.78/16.54 inference(unit_resolution,[status(thm)],[13629, 1740, 13626])).
% 24.78/16.54 tff(13631,plain,
% 24.78/16.54 (v90(constB67, bitIndex1)),
% 24.78/16.54 inference(unit_resolution,[status(thm)],[11002, 13625, 10942])).
% 24.78/16.54 tff(13632,plain,
% 24.78/16.54 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB67)) | (~v90(constB67, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB67)) | (~v90(constB67, bitIndex1)))),
% 24.78/16.54 inference(rewrite,[status(thm)],[])).
% 24.78/16.54 tff(13633,plain,
% 24.78/16.54 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB67)) | (~v90(constB67, bitIndex1)))),
% 24.78/16.54 inference(quant_inst,[status(thm)],[])).
% 24.78/16.54 tff(13634,plain,
% 24.78/16.54 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB67)) | (~v90(constB67, bitIndex1))),
% 24.78/16.54 inference(modus_ponens,[status(thm)],[13633, 13632])).
% 24.78/16.54 tff(13635,plain,
% 24.78/16.54 (~v120(constB67)),
% 24.78/16.54 inference(unit_resolution,[status(thm)],[13634, 1762, 13631])).
% 24.78/16.54 tff(13636,plain,
% 24.78/16.54 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB67)) | (~v90(constB67, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB67)) | (~v90(constB67, bitIndex1)))),
% 24.83/16.54 inference(rewrite,[status(thm)],[])).
% 24.83/16.54 tff(13637,plain,
% 24.83/16.54 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB67)) | (~v90(constB67, bitIndex1)))),
% 24.83/16.54 inference(quant_inst,[status(thm)],[])).
% 24.83/16.54 tff(13638,plain,
% 24.83/16.54 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB67)) | (~v90(constB67, bitIndex1))),
% 24.83/16.54 inference(modus_ponens,[status(thm)],[13637, 13636])).
% 24.83/16.54 tff(13639,plain,
% 24.83/16.54 (~v124(constB67)),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13638, 1784, 13631])).
% 24.83/16.54 tff(13640,plain,
% 24.83/16.54 (v90(constB67, bitIndex0)),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[10931, 13625, 10924])).
% 24.83/16.54 tff(13641,plain,
% 24.83/16.54 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB67)) | (~v90(constB67, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB67)) | (~v90(constB67, bitIndex0)))),
% 24.83/16.54 inference(rewrite,[status(thm)],[])).
% 24.83/16.54 tff(13642,plain,
% 24.83/16.54 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB67)) | (~v90(constB67, bitIndex0)))),
% 24.83/16.54 inference(quant_inst,[status(thm)],[])).
% 24.83/16.54 tff(13643,plain,
% 24.83/16.54 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB67)) | (~v90(constB67, bitIndex0))),
% 24.83/16.54 inference(modus_ponens,[status(thm)],[13642, 13641])).
% 24.83/16.54 tff(13644,plain,
% 24.83/16.54 (~v119(constB67)),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13643, 11913, 13640])).
% 24.83/16.54 tff(13645,plain,
% 24.83/16.54 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB67)) | (~v90(constB67, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB67)) | (~v90(constB67, bitIndex0)))),
% 24.83/16.54 inference(rewrite,[status(thm)],[])).
% 24.83/16.54 tff(13646,plain,
% 24.83/16.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB67)) | (~v90(constB67, bitIndex0)))),
% 24.83/16.54 inference(quant_inst,[status(thm)],[])).
% 24.83/16.54 tff(13647,plain,
% 24.83/16.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB67)) | (~v90(constB67, bitIndex0))),
% 24.83/16.54 inference(modus_ponens,[status(thm)],[13646, 13645])).
% 24.83/16.54 tff(13648,plain,
% 24.83/16.54 (~v121(constB67)),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13647, 11924, 13640])).
% 24.83/16.54 tff(13649,plain,
% 24.83/16.54 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v123(constB67)) | (~v90(constB67, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v123(constB67)) | (~v90(constB67, bitIndex0)))),
% 24.83/16.54 inference(rewrite,[status(thm)],[])).
% 24.83/16.54 tff(13650,plain,
% 24.83/16.54 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v123(constB67)) | (~v90(constB67, bitIndex0)))),
% 24.83/16.54 inference(quant_inst,[status(thm)],[])).
% 24.83/16.54 tff(13651,plain,
% 24.83/16.54 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v123(constB67)) | (~v90(constB67, bitIndex0))),
% 24.83/16.54 inference(modus_ponens,[status(thm)],[13650, 13649])).
% 24.83/16.54 tff(13652,plain,
% 24.83/16.54 (~v123(constB67)),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13651, 11935, 13640])).
% 24.83/16.54 tff(13653,plain,
% 24.83/16.54 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB67) | v120(constB67) | v121(constB67) | v122(constB67) | v123(constB67) | v124(constB67) | v130(constB67, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB67) | v120(constB67) | v121(constB67) | v122(constB67) | v123(constB67) | v124(constB67) | v130(constB67, bitIndex0))),
% 24.83/16.54 inference(rewrite,[status(thm)],[])).
% 24.83/16.54 tff(13654,plain,
% 24.83/16.54 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB67) | v120(constB67) | v121(constB67) | v122(constB67) | v123(constB67) | v124(constB67) | v130(constB67, bitIndex0))),
% 24.83/16.54 inference(quant_inst,[status(thm)],[])).
% 24.83/16.54 tff(13655,plain,
% 24.83/16.54 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB67) | v120(constB67) | v121(constB67) | v122(constB67) | v123(constB67) | v124(constB67) | v130(constB67, bitIndex0)),
% 24.83/16.54 inference(modus_ponens,[status(thm)],[13654, 13653])).
% 24.83/16.54 tff(13656,plain,
% 24.83/16.54 ($false),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13655, 1931, 13622, 13652, 13648, 13644, 13639, 13635, 13630])).
% 24.83/16.54 tff(13657,plain,(v130(constB67, bitIndex0) | (~v90(constB68, bitIndex2)) | (~v90(constB68, bitIndex1)) | (~v90(constB68, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 24.83/16.54 tff(13658,plain,
% 24.83/16.54 (v130(constB67, bitIndex0)),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13657, 10911, 10877, 10912])).
% 24.83/16.54 tff(13659,plain,
% 24.83/16.54 (~v120(constB67)),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[10626, 2023, 13658])).
% 24.83/16.54 tff(13660,plain,
% 24.83/16.54 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB67)) | (~v130(constB67, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB67)) | (~v130(constB67, bitIndex0)))),
% 24.83/16.54 inference(rewrite,[status(thm)],[])).
% 24.83/16.54 tff(13661,plain,
% 24.83/16.54 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB67)) | (~v130(constB67, bitIndex0)))),
% 24.83/16.54 inference(quant_inst,[status(thm)],[])).
% 24.83/16.54 tff(13662,plain,
% 24.83/16.54 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB67)) | (~v130(constB67, bitIndex0))),
% 24.83/16.54 inference(modus_ponens,[status(thm)],[13661, 13660])).
% 24.83/16.54 tff(13663,plain,
% 24.83/16.54 (~v119(constB67)),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13662, 1327, 13658])).
% 24.83/16.54 tff(13664,plain,
% 24.83/16.54 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB67)) | (~v130(constB67, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB67)) | (~v130(constB67, bitIndex0)))),
% 24.83/16.54 inference(rewrite,[status(thm)],[])).
% 24.83/16.54 tff(13665,plain,
% 24.83/16.54 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB67)) | (~v130(constB67, bitIndex0)))),
% 24.83/16.54 inference(quant_inst,[status(thm)],[])).
% 24.83/16.54 tff(13666,plain,
% 24.83/16.54 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB67)) | (~v130(constB67, bitIndex0))),
% 24.83/16.54 inference(modus_ponens,[status(thm)],[13665, 13664])).
% 24.83/16.54 tff(13667,plain,
% 24.83/16.54 (~v122(constB67)),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13666, 2833, 13658])).
% 24.83/16.54 tff(13668,plain,
% 24.83/16.54 (~v123(constB67)),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13533, 1617, 13658])).
% 24.83/16.54 tff(13669,plain,
% 24.83/16.54 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB67) | v120(constB67) | v121(constB67) | v122(constB67) | v123(constB67) | v124(constB67) | (~v130(constB67, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB67) | v120(constB67) | v121(constB67) | v122(constB67) | v123(constB67) | v124(constB67) | (~v130(constB67, bitIndex1)))),
% 24.83/16.54 inference(rewrite,[status(thm)],[])).
% 24.83/16.54 tff(13670,plain,
% 24.83/16.54 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB67) | v120(constB67) | v121(constB67) | v122(constB67) | v123(constB67) | v124(constB67) | (~v130(constB67, bitIndex1)))),
% 24.83/16.54 inference(quant_inst,[status(thm)],[])).
% 24.83/16.54 tff(13671,plain,
% 24.83/16.54 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB67) | v120(constB67) | v121(constB67) | v122(constB67) | v123(constB67) | v124(constB67) | (~v130(constB67, bitIndex1))),
% 24.83/16.54 inference(modus_ponens,[status(thm)],[13670, 13669])).
% 24.83/16.54 tff(13672,plain,
% 24.83/16.54 (v121(constB67) | v124(constB67) | (~v130(constB67, bitIndex1))),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13671, 1887, 13668, 13667, 13663, 13659])).
% 24.83/16.54 tff(13673,plain,
% 24.83/16.54 ($false),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13672, 13621, 13617, 13609])).
% 24.83/16.54 tff(13674,plain,(v100(constB70)), inference(lemma,lemma(discharge,[]))).
% 24.83/16.54 tff(13675,plain,
% 24.83/16.54 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB70, bitIndex2)) | v129(constB70, bitIndex2) | (~v100(constB70)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB70, bitIndex2)) | v129(constB70, bitIndex2) | (~v100(constB70)))),
% 24.83/16.54 inference(rewrite,[status(thm)],[])).
% 24.83/16.54 tff(13676,plain,
% 24.83/16.54 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB70, bitIndex2)) | v129(constB70, bitIndex2) | (~v100(constB70)))),
% 24.83/16.54 inference(quant_inst,[status(thm)],[])).
% 24.83/16.54 tff(13677,plain,
% 24.83/16.54 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB70, bitIndex2)) | v129(constB70, bitIndex2) | (~v100(constB70))),
% 24.83/16.54 inference(modus_ponens,[status(thm)],[13676, 13675])).
% 24.83/16.54 tff(13678,plain,
% 24.83/16.54 ((~v90(constB70, bitIndex2)) | v129(constB70, bitIndex2)),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13677, 1845, 13674])).
% 24.83/16.54 tff(13679,plain,
% 24.83/16.54 (~v90(constB70, bitIndex2)),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13678, 10685])).
% 24.83/16.54 tff(13680,plain,
% 24.83/16.54 ((~v1(constB71)) <=> (~v1(constB71))),
% 24.83/16.54 inference(rewrite,[status(thm)],[])).
% 24.83/16.54 tff(13681,axiom,(~v1(constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_71_1_1')).
% 24.83/16.54 tff(13682,plain,
% 24.83/16.54 (~v1(constB71)),
% 24.83/16.54 inference(modus_ponens,[status(thm)],[13681, 13680])).
% 24.83/16.54 tff(13683,plain,
% 24.83/16.54 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 24.83/16.54 inference(rewrite,[status(thm)],[])).
% 24.83/16.54 tff(13684,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_70_1')).
% 24.83/16.54 tff(13685,plain,
% 24.83/16.54 (nextState(constB70, constB71)),
% 24.83/16.54 inference(modus_ponens,[status(thm)],[13684, 13683])).
% 24.83/16.54 tff(13686,plain,
% 24.83/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 24.83/16.54 inference(rewrite,[status(thm)],[])).
% 24.83/16.54 tff(13687,plain,
% 24.83/16.54 (((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71)) <=> (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 24.83/16.54 inference(rewrite,[status(thm)],[])).
% 24.83/16.54 tff(13688,plain,
% 24.83/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71))))),
% 24.83/16.54 inference(monotonicity,[status(thm)],[13687])).
% 24.83/16.54 tff(13689,plain,
% 24.83/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 24.83/16.54 inference(transitivity,[status(thm)],[13688, 13686])).
% 24.83/16.54 tff(13690,plain,
% 24.83/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))),
% 24.83/16.54 inference(quant_inst,[status(thm)],[])).
% 24.83/16.54 tff(13691,plain,
% 24.83/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71))),
% 24.83/16.54 inference(modus_ponens,[status(thm)],[13690, 13689])).
% 24.83/16.54 tff(13692,plain,
% 24.83/16.54 (~v101(constB71)),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13691, 860, 13685, 13682])).
% 24.83/16.54 tff(13693,plain,
% 24.83/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))),
% 24.83/16.54 inference(rewrite,[status(thm)],[])).
% 24.83/16.54 tff(13694,plain,
% 24.83/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))),
% 24.83/16.54 inference(quant_inst,[status(thm)],[])).
% 24.83/16.54 tff(13695,plain,
% 24.83/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71))),
% 24.83/16.54 inference(modus_ponens,[status(thm)],[13694, 13693])).
% 24.83/16.54 tff(13696,plain,
% 24.83/16.54 (v101(constB71) | (~v100(constB71))),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13695, 877, 13685])).
% 24.83/16.54 tff(13697,plain,
% 24.83/16.54 (~v100(constB71)),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13696, 13692])).
% 24.83/16.54 tff(13698,plain,
% 24.83/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex2)))),
% 24.83/16.54 inference(rewrite,[status(thm)],[])).
% 24.83/16.54 tff(13699,plain,
% 24.83/16.54 (((~nextState(constB70, constB71)) | v90(constB70, bitIndex2) | v100(constB71) | (~v90(constB71, bitIndex2))) <=> (v90(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex2)))),
% 24.83/16.54 inference(rewrite,[status(thm)],[])).
% 24.83/16.54 tff(13700,plain,
% 24.83/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex2) | v100(constB71) | (~v90(constB71, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex2))))),
% 24.83/16.54 inference(monotonicity,[status(thm)],[13699])).
% 24.83/16.54 tff(13701,plain,
% 24.83/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex2) | v100(constB71) | (~v90(constB71, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex2)))),
% 24.83/16.54 inference(transitivity,[status(thm)],[13700, 13698])).
% 24.83/16.54 tff(13702,plain,
% 24.83/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex2) | v100(constB71) | (~v90(constB71, bitIndex2)))),
% 24.83/16.54 inference(quant_inst,[status(thm)],[])).
% 24.83/16.54 tff(13703,plain,
% 24.83/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex2))),
% 24.83/16.54 inference(modus_ponens,[status(thm)],[13702, 13701])).
% 24.83/16.54 tff(13704,plain,
% 24.83/16.54 (v90(constB70, bitIndex2) | v100(constB71) | (~v90(constB71, bitIndex2))),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13703, 892, 13685])).
% 24.83/16.54 tff(13705,plain,
% 24.83/16.54 (v90(constB70, bitIndex2) | (~v90(constB71, bitIndex2))),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13704, 13697])).
% 24.83/16.54 tff(13706,plain,
% 24.83/16.54 (~v90(constB71, bitIndex2)),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13705, 13679])).
% 24.83/16.54 tff(13707,plain,
% 24.83/16.54 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB69)) | v130(constB69, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB69)) | v130(constB69, bitIndex1))),
% 24.83/16.54 inference(rewrite,[status(thm)],[])).
% 24.83/16.54 tff(13708,plain,
% 24.83/16.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB69)) | v130(constB69, bitIndex1))),
% 24.83/16.54 inference(quant_inst,[status(thm)],[])).
% 24.83/16.54 tff(13709,plain,
% 24.83/16.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB69)) | v130(constB69, bitIndex1)),
% 24.83/16.54 inference(modus_ponens,[status(thm)],[13708, 13707])).
% 24.83/16.54 tff(13710,plain,
% 24.83/16.54 (v130(constB69, bitIndex1)),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13709, 2562, 10661])).
% 24.83/16.54 tff(13711,plain,
% 24.83/16.54 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB69) | (~v130(constB69, bitIndex1)) | v127(constB69, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB69) | (~v130(constB69, bitIndex1)) | v127(constB69, bitIndex1))),
% 24.83/16.54 inference(rewrite,[status(thm)],[])).
% 24.83/16.54 tff(13712,plain,
% 24.83/16.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB69) | (~v130(constB69, bitIndex1)) | v127(constB69, bitIndex1))),
% 24.83/16.54 inference(quant_inst,[status(thm)],[])).
% 24.83/16.54 tff(13713,plain,
% 24.83/16.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB69) | (~v130(constB69, bitIndex1)) | v127(constB69, bitIndex1)),
% 24.83/16.54 inference(modus_ponens,[status(thm)],[13712, 13711])).
% 24.83/16.54 tff(13714,plain,
% 24.83/16.54 ((~v130(constB69, bitIndex1)) | v127(constB69, bitIndex1)),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13713, 1553, 10669])).
% 24.83/16.54 tff(13715,plain,
% 24.83/16.54 (v127(constB69, bitIndex1)),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13714, 13710])).
% 24.83/16.54 tff(13716,plain,
% 24.83/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex1)) | v129(constB70, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex1)) | v129(constB70, bitIndex1))),
% 24.83/16.54 inference(rewrite,[status(thm)],[])).
% 24.83/16.54 tff(13717,plain,
% 24.83/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex1)) | v129(constB70, bitIndex1))),
% 24.83/16.54 inference(quant_inst,[status(thm)],[])).
% 24.83/16.54 tff(13718,plain,
% 24.83/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex1)) | v129(constB70, bitIndex1)),
% 24.83/16.54 inference(modus_ponens,[status(thm)],[13717, 13716])).
% 24.83/16.54 tff(13719,plain,
% 24.83/16.54 ((~v127(constB69, bitIndex1)) | v129(constB70, bitIndex1)),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13718, 1568, 10680])).
% 24.83/16.54 tff(13720,plain,
% 24.83/16.54 (v129(constB70, bitIndex1)),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13719, 13715])).
% 24.83/16.54 tff(13721,plain,
% 24.83/16.54 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70)))),
% 24.83/16.54 inference(rewrite,[status(thm)],[])).
% 24.83/16.54 tff(13722,plain,
% 24.83/16.54 ((v90(constB70, bitIndex1) | (~v100(constB70)) | (~v129(constB70, bitIndex1))) <=> (v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70)))),
% 24.83/16.54 inference(rewrite,[status(thm)],[])).
% 24.83/16.54 tff(13723,plain,
% 24.83/16.54 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~v100(constB70)) | (~v129(constB70, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70))))),
% 24.83/16.54 inference(monotonicity,[status(thm)],[13722])).
% 24.83/16.54 tff(13724,plain,
% 24.83/16.54 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~v100(constB70)) | (~v129(constB70, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70)))),
% 24.83/16.54 inference(transitivity,[status(thm)],[13723, 13721])).
% 24.83/16.54 tff(13725,plain,
% 24.83/16.54 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~v100(constB70)) | (~v129(constB70, bitIndex1)))),
% 24.83/16.54 inference(quant_inst,[status(thm)],[])).
% 24.83/16.54 tff(13726,plain,
% 24.83/16.54 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70))),
% 24.83/16.54 inference(modus_ponens,[status(thm)],[13725, 13724])).
% 24.83/16.54 tff(13727,plain,
% 24.83/16.54 (v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1))),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13726, 1583, 13674])).
% 24.83/16.54 tff(13728,plain,
% 24.83/16.54 (v90(constB70, bitIndex1)),
% 24.83/16.54 inference(unit_resolution,[status(thm)],[13727, 13720])).
% 24.83/16.54 tff(13729,plain,
% 24.83/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex1))),
% 24.83/16.54 inference(rewrite,[status(thm)],[])).
% 24.83/16.54 tff(13730,plain,
% 24.83/16.54 (((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex1)) | v100(constB71) | v90(constB71, bitIndex1)) <=> ((~v90(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex1))),
% 24.83/16.54 inference(rewrite,[status(thm)],[])).
% 24.83/16.54 tff(13731,plain,
% 24.83/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex1)) | v100(constB71) | v90(constB71, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex1)))),
% 24.83/16.55 inference(monotonicity,[status(thm)],[13730])).
% 24.83/16.55 tff(13732,plain,
% 24.83/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex1)) | v100(constB71) | v90(constB71, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex1))),
% 24.83/16.55 inference(transitivity,[status(thm)],[13731, 13729])).
% 24.83/16.55 tff(13733,plain,
% 24.83/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex1)) | v100(constB71) | v90(constB71, bitIndex1))),
% 24.83/16.55 inference(quant_inst,[status(thm)],[])).
% 24.83/16.55 tff(13734,plain,
% 24.83/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex1)),
% 24.83/16.55 inference(modus_ponens,[status(thm)],[13733, 13732])).
% 24.83/16.55 tff(13735,plain,
% 24.83/16.55 ((~v90(constB70, bitIndex1)) | v100(constB71) | v90(constB71, bitIndex1)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13734, 1601, 13685])).
% 24.83/16.55 tff(13736,plain,
% 24.83/16.55 ((~v90(constB70, bitIndex1)) | v90(constB71, bitIndex1)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13735, 13697])).
% 24.83/16.55 tff(13737,plain,
% 24.83/16.55 (v90(constB71, bitIndex1)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13736, 13728])).
% 24.83/16.55 tff(13738,plain,
% 24.83/16.55 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB69)) | v130(constB69, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB69)) | v130(constB69, bitIndex0))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13739,plain,
% 24.83/16.55 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB69)) | v130(constB69, bitIndex0))),
% 24.83/16.55 inference(quant_inst,[status(thm)],[])).
% 24.83/16.55 tff(13740,plain,
% 24.83/16.55 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB69)) | v130(constB69, bitIndex0)),
% 24.83/16.55 inference(modus_ponens,[status(thm)],[13739, 13738])).
% 24.83/16.55 tff(13741,plain,
% 24.83/16.55 (v130(constB69, bitIndex0)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13740, 2600, 10661])).
% 24.83/16.55 tff(13742,plain,
% 24.83/16.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13743,plain,
% 24.83/16.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0))),
% 24.83/16.55 inference(quant_inst,[status(thm)],[])).
% 24.83/16.55 tff(13744,plain,
% 24.83/16.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0)),
% 24.83/16.55 inference(modus_ponens,[status(thm)],[13743, 13742])).
% 24.83/16.55 tff(13745,plain,
% 24.83/16.55 ((~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13744, 1945, 10669])).
% 24.83/16.55 tff(13746,plain,
% 24.83/16.55 (v127(constB69, bitIndex0)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13745, 13741])).
% 24.83/16.55 tff(13747,plain,
% 24.83/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13748,plain,
% 24.83/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0))),
% 24.83/16.55 inference(quant_inst,[status(thm)],[])).
% 24.83/16.55 tff(13749,plain,
% 24.83/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0)),
% 24.83/16.55 inference(modus_ponens,[status(thm)],[13748, 13747])).
% 24.83/16.55 tff(13750,plain,
% 24.83/16.55 ((~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13749, 1960, 10680])).
% 24.83/16.55 tff(13751,plain,
% 24.83/16.55 (v129(constB70, bitIndex0)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13750, 13746])).
% 24.83/16.55 tff(13752,plain,
% 24.83/16.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13753,plain,
% 24.83/16.55 ((v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0))) <=> (v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13754,plain,
% 24.83/16.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70))))),
% 24.83/16.55 inference(monotonicity,[status(thm)],[13753])).
% 24.83/16.55 tff(13755,plain,
% 24.83/16.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))),
% 24.83/16.55 inference(transitivity,[status(thm)],[13754, 13752])).
% 24.83/16.55 tff(13756,plain,
% 24.83/16.55 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0)))),
% 24.83/16.55 inference(quant_inst,[status(thm)],[])).
% 24.83/16.55 tff(13757,plain,
% 24.83/16.55 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70))),
% 24.83/16.55 inference(modus_ponens,[status(thm)],[13756, 13755])).
% 24.83/16.55 tff(13758,plain,
% 24.83/16.55 (v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0))),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13757, 1975, 13674])).
% 24.83/16.55 tff(13759,plain,
% 24.83/16.55 (v90(constB70, bitIndex0)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13758, 13751])).
% 24.83/16.55 tff(13760,plain,
% 24.83/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13761,plain,
% 24.83/16.55 (((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0)) <=> ((~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13762,plain,
% 24.83/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0)))),
% 24.83/16.55 inference(monotonicity,[status(thm)],[13761])).
% 24.83/16.55 tff(13763,plain,
% 24.83/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))),
% 24.83/16.55 inference(transitivity,[status(thm)],[13762, 13760])).
% 24.83/16.55 tff(13764,plain,
% 24.83/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0))),
% 24.83/16.55 inference(quant_inst,[status(thm)],[])).
% 24.83/16.55 tff(13765,plain,
% 24.83/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0)),
% 24.83/16.55 inference(modus_ponens,[status(thm)],[13764, 13763])).
% 24.83/16.55 tff(13766,plain,
% 24.83/16.55 ((~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13765, 1993, 13685])).
% 24.83/16.55 tff(13767,plain,
% 24.83/16.55 ((~v90(constB70, bitIndex0)) | v90(constB71, bitIndex0)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13766, 13697])).
% 24.83/16.55 tff(13768,plain,
% 24.83/16.55 (v90(constB71, bitIndex0)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13767, 13759])).
% 24.83/16.55 tff(13769,plain,
% 24.83/16.55 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)) | v90(constB71, bitIndex2) | v122(constB71))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)) | v90(constB71, bitIndex2) | v122(constB71))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13770,plain,
% 24.83/16.55 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)) | v90(constB71, bitIndex2) | v122(constB71))),
% 24.83/16.55 inference(quant_inst,[status(thm)],[])).
% 24.83/16.55 tff(13771,plain,
% 24.83/16.55 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)) | v90(constB71, bitIndex2) | v122(constB71)),
% 24.83/16.55 inference(modus_ponens,[status(thm)],[13770, 13769])).
% 24.83/16.55 tff(13772,plain,
% 24.83/16.55 (v122(constB71)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13771, 2641, 13768, 13737, 13706])).
% 24.83/16.55 tff(13773,plain,
% 24.83/16.55 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB71)) | v116(constB71))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB71)) | v116(constB71))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13774,plain,
% 24.83/16.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB71)) | v116(constB71))),
% 24.83/16.55 inference(quant_inst,[status(thm)],[])).
% 24.83/16.55 tff(13775,plain,
% 24.83/16.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB71)) | v116(constB71)),
% 24.83/16.55 inference(modus_ponens,[status(thm)],[13774, 13773])).
% 24.83/16.55 tff(13776,plain,
% 24.83/16.55 (v116(constB71)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13775, 2652, 13772])).
% 24.83/16.55 tff(13777,plain,
% 24.83/16.55 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB71)) | v115(constB71))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB71)) | v115(constB71))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13778,plain,
% 24.83/16.55 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB71)) | v115(constB71))),
% 24.83/16.55 inference(quant_inst,[status(thm)],[])).
% 24.83/16.55 tff(13779,plain,
% 24.83/16.55 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB71)) | v115(constB71)),
% 24.83/16.55 inference(modus_ponens,[status(thm)],[13778, 13777])).
% 24.83/16.55 tff(13780,plain,
% 24.83/16.55 (v115(constB71)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13779, 1008, 13776])).
% 24.83/16.55 tff(13781,plain,
% 24.83/16.55 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB71) | (~v115(constB71)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB71) | (~v115(constB71)))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13782,plain,
% 24.83/16.55 (((~v115(constB71)) | v114(constB71)) <=> (v114(constB71) | (~v115(constB71)))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13783,plain,
% 24.83/16.55 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB71)) | v114(constB71))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB71) | (~v115(constB71))))),
% 24.83/16.55 inference(monotonicity,[status(thm)],[13782])).
% 24.83/16.55 tff(13784,plain,
% 24.83/16.55 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB71)) | v114(constB71))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB71) | (~v115(constB71)))),
% 24.83/16.55 inference(transitivity,[status(thm)],[13783, 13781])).
% 24.83/16.55 tff(13785,plain,
% 24.83/16.55 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB71)) | v114(constB71))),
% 24.83/16.55 inference(quant_inst,[status(thm)],[])).
% 24.83/16.55 tff(13786,plain,
% 24.83/16.55 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB71) | (~v115(constB71))),
% 24.83/16.55 inference(modus_ponens,[status(thm)],[13785, 13784])).
% 24.83/16.55 tff(13787,plain,
% 24.83/16.55 (v114(constB71)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13786, 1022, 13780])).
% 24.83/16.55 tff(13788,plain,
% 24.83/16.55 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB71) | (~v114(constB71)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB71) | (~v114(constB71)))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13789,plain,
% 24.83/16.55 (((~v114(constB71)) | v113(constB71)) <=> (v113(constB71) | (~v114(constB71)))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13790,plain,
% 24.83/16.55 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB71)) | v113(constB71))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB71) | (~v114(constB71))))),
% 24.83/16.55 inference(monotonicity,[status(thm)],[13789])).
% 24.83/16.55 tff(13791,plain,
% 24.83/16.55 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB71)) | v113(constB71))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB71) | (~v114(constB71)))),
% 24.83/16.55 inference(transitivity,[status(thm)],[13790, 13788])).
% 24.83/16.55 tff(13792,plain,
% 24.83/16.55 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB71)) | v113(constB71))),
% 24.83/16.55 inference(quant_inst,[status(thm)],[])).
% 24.83/16.55 tff(13793,plain,
% 24.83/16.55 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB71) | (~v114(constB71))),
% 24.83/16.55 inference(modus_ponens,[status(thm)],[13792, 13791])).
% 24.83/16.55 tff(13794,plain,
% 24.83/16.55 (v113(constB71)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13793, 1036, 13787])).
% 24.83/16.55 tff(13795,assumption,(v26(constB71)), introduced(assumption)).
% 24.83/16.55 tff(13796,plain,
% 24.83/16.55 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB71))),
% 24.83/16.55 inference(quant_inst,[status(thm)],[])).
% 24.83/16.55 tff(13797,plain,
% 24.83/16.55 ($false),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13796, 797, 13795])).
% 24.83/16.55 tff(13798,plain,(~v26(constB71)), inference(lemma,lemma(discharge,[]))).
% 24.83/16.55 tff(13799,plain,
% 24.83/16.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB71) | (~v113(constB71)) | v112(constB71))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB71) | (~v113(constB71)) | v112(constB71))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13800,plain,
% 24.83/16.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB71) | (~v113(constB71)) | v112(constB71))),
% 24.83/16.55 inference(quant_inst,[status(thm)],[])).
% 24.83/16.55 tff(13801,plain,
% 24.83/16.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB71) | (~v113(constB71)) | v112(constB71)),
% 24.83/16.55 inference(modus_ponens,[status(thm)],[13800, 13799])).
% 24.83/16.55 tff(13802,plain,
% 24.83/16.55 ((~v113(constB71)) | v112(constB71)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13801, 1050, 13798])).
% 24.83/16.55 tff(13803,plain,
% 24.83/16.55 (v112(constB71)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13802, 13794])).
% 24.83/16.55 tff(13804,plain,
% 24.83/16.55 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB71) | (~v112(constB71)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v112(constB71)))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13805,plain,
% 24.83/16.55 (((~v112(constB71)) | v108(constB71)) <=> (v108(constB71) | (~v112(constB71)))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13806,plain,
% 24.83/16.55 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB71)) | v108(constB71))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB71) | (~v112(constB71))))),
% 24.83/16.55 inference(monotonicity,[status(thm)],[13805])).
% 24.83/16.55 tff(13807,plain,
% 24.83/16.55 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB71)) | v108(constB71))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v112(constB71)))),
% 24.83/16.55 inference(transitivity,[status(thm)],[13806, 13804])).
% 24.83/16.55 tff(13808,plain,
% 24.83/16.55 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB71)) | v108(constB71))),
% 24.83/16.55 inference(quant_inst,[status(thm)],[])).
% 24.83/16.55 tff(13809,plain,
% 24.83/16.55 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v112(constB71))),
% 24.83/16.55 inference(modus_ponens,[status(thm)],[13808, 13807])).
% 24.83/16.55 tff(13810,plain,
% 24.83/16.55 (v108(constB71)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13809, 1062, 13803])).
% 24.83/16.55 tff(13811,plain,
% 24.83/16.55 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13812,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_71_1')).
% 24.83/16.55 tff(13813,plain,
% 24.83/16.55 (nextState(constB71, constB72)),
% 24.83/16.55 inference(modus_ponens,[status(thm)],[13812, 13811])).
% 24.83/16.55 tff(13814,plain,
% 24.83/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13815,plain,
% 24.83/16.55 (((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72)) <=> ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13816,plain,
% 24.83/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71))))),
% 24.83/16.55 inference(monotonicity,[status(thm)],[13815])).
% 24.83/16.55 tff(13817,plain,
% 24.83/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 24.83/16.55 inference(transitivity,[status(thm)],[13816, 13814])).
% 24.83/16.55 tff(13818,plain,
% 24.83/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))),
% 24.83/16.55 inference(quant_inst,[status(thm)],[])).
% 24.83/16.55 tff(13819,plain,
% 24.83/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71))),
% 24.83/16.55 inference(modus_ponens,[status(thm)],[13818, 13817])).
% 24.83/16.55 tff(13820,plain,
% 24.83/16.55 (v110(constB72) | (~v108(constB71))),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13819, 1082, 13813])).
% 24.83/16.55 tff(13821,plain,
% 24.83/16.55 (v110(constB72)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13820, 13810])).
% 24.83/16.55 tff(13822,plain,
% 24.83/16.55 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13823,plain,
% 24.83/16.55 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))),
% 24.83/16.55 inference(quant_inst,[status(thm)],[])).
% 24.83/16.55 tff(13824,plain,
% 24.83/16.55 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72))),
% 24.83/16.55 inference(modus_ponens,[status(thm)],[13823, 13822])).
% 24.83/16.55 tff(13825,plain,
% 24.83/16.55 (~v104(constB72)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13824, 1100, 13813, 13682])).
% 24.83/16.55 tff(13826,plain,
% 24.83/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13827,plain,
% 24.83/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))),
% 24.83/16.55 inference(quant_inst,[status(thm)],[])).
% 24.83/16.55 tff(13828,plain,
% 24.83/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v102(constB72) | v104(constB72)),
% 24.83/16.55 inference(modus_ponens,[status(thm)],[13827, 13826])).
% 24.83/16.55 tff(13829,plain,
% 24.83/16.55 (v102(constB72) | v104(constB72)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13828, 1114, 13813])).
% 24.83/16.55 tff(13830,plain,
% 24.83/16.55 (v102(constB72)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13829, 13825])).
% 24.83/16.55 tff(13831,plain,
% 24.83/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13832,plain,
% 24.83/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))),
% 24.83/16.55 inference(quant_inst,[status(thm)],[])).
% 24.83/16.55 tff(13833,plain,
% 24.83/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72))),
% 24.83/16.55 inference(modus_ponens,[status(thm)],[13832, 13831])).
% 24.83/16.55 tff(13834,plain,
% 24.83/16.55 (v101(constB72) | (~v102(constB72))),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13833, 1129, 13813, 614])).
% 24.83/16.55 tff(13835,plain,
% 24.83/16.55 (v101(constB72)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13834, 13830])).
% 24.83/16.55 tff(13836,plain,
% 24.83/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13837,plain,
% 24.83/16.55 (((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72)) <=> ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13838,plain,
% 24.83/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72))))),
% 24.83/16.55 inference(monotonicity,[status(thm)],[13837])).
% 24.83/16.55 tff(13839,plain,
% 24.83/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 24.83/16.55 inference(transitivity,[status(thm)],[13838, 13836])).
% 24.83/16.55 tff(13840,plain,
% 24.83/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))),
% 24.83/16.55 inference(quant_inst,[status(thm)],[])).
% 24.83/16.55 tff(13841,plain,
% 24.83/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 24.83/16.55 inference(modus_ponens,[status(thm)],[13840, 13839])).
% 24.83/16.55 tff(13842,plain,
% 24.83/16.55 (v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13841, 1144, 13813])).
% 24.83/16.55 tff(13843,plain,
% 24.83/16.55 (v100(constB72) | (~v110(constB72))),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13842, 13835])).
% 24.83/16.55 tff(13844,plain,
% 24.83/16.55 (v100(constB72)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13843, 13821])).
% 24.83/16.55 tff(13845,plain,
% 24.83/16.55 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB71)) | v130(constB71, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB71)) | v130(constB71, bitIndex2))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13846,plain,
% 24.83/16.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB71)) | v130(constB71, bitIndex2))),
% 24.83/16.55 inference(quant_inst,[status(thm)],[])).
% 24.83/16.55 tff(13847,plain,
% 24.83/16.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB71)) | v130(constB71, bitIndex2)),
% 24.83/16.55 inference(modus_ponens,[status(thm)],[13846, 13845])).
% 24.83/16.55 tff(13848,plain,
% 24.83/16.55 (v130(constB71, bitIndex2)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13847, 2736, 13772])).
% 24.83/16.55 tff(13849,plain,
% 24.83/16.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13850,plain,
% 24.83/16.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2))),
% 24.83/16.55 inference(quant_inst,[status(thm)],[])).
% 24.83/16.55 tff(13851,plain,
% 24.83/16.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2)),
% 24.83/16.55 inference(modus_ponens,[status(thm)],[13850, 13849])).
% 24.83/16.55 tff(13852,plain,
% 24.83/16.55 ((~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13851, 1174, 13798])).
% 24.83/16.55 tff(13853,plain,
% 24.83/16.55 (v127(constB71, bitIndex2)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13852, 13848])).
% 24.83/16.55 tff(13854,plain,
% 24.83/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13855,plain,
% 24.83/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2))),
% 24.83/16.55 inference(quant_inst,[status(thm)],[])).
% 24.83/16.55 tff(13856,plain,
% 24.83/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2)),
% 24.83/16.55 inference(modus_ponens,[status(thm)],[13855, 13854])).
% 24.83/16.55 tff(13857,plain,
% 24.83/16.55 ((~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13856, 1189, 13813])).
% 24.83/16.55 tff(13858,plain,
% 24.83/16.55 (v129(constB72, bitIndex2)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13857, 13853])).
% 24.83/16.55 tff(13859,plain,
% 24.83/16.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13860,plain,
% 24.83/16.55 ((v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2))) <=> (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13861,plain,
% 24.83/16.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72))))),
% 24.83/16.55 inference(monotonicity,[status(thm)],[13860])).
% 24.83/16.55 tff(13862,plain,
% 24.83/16.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))),
% 24.83/16.55 inference(transitivity,[status(thm)],[13861, 13859])).
% 24.83/16.55 tff(13863,plain,
% 24.83/16.55 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2)))),
% 24.83/16.55 inference(quant_inst,[status(thm)],[])).
% 24.83/16.55 tff(13864,plain,
% 24.83/16.55 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72))),
% 24.83/16.55 inference(modus_ponens,[status(thm)],[13863, 13862])).
% 24.83/16.55 tff(13865,plain,
% 24.83/16.55 (v90(constB72, bitIndex2) | (~v100(constB72))),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13864, 1204, 13858])).
% 24.83/16.55 tff(13866,plain,
% 24.83/16.55 (v90(constB72, bitIndex2)),
% 24.83/16.55 inference(unit_resolution,[status(thm)],[13865, 13844])).
% 24.83/16.55 tff(13867,plain,
% 24.83/16.55 ((~v1(constB73)) <=> (~v1(constB73))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13868,axiom,(~v1(constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_73_1_1')).
% 24.83/16.55 tff(13869,plain,
% 24.83/16.55 (~v1(constB73)),
% 24.83/16.55 inference(modus_ponens,[status(thm)],[13868, 13867])).
% 24.83/16.55 tff(13870,plain,
% 24.83/16.55 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13871,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_72_1')).
% 24.83/16.55 tff(13872,plain,
% 24.83/16.55 (nextState(constB72, constB73)),
% 24.83/16.55 inference(modus_ponens,[status(thm)],[13871, 13870])).
% 24.83/16.55 tff(13873,plain,
% 24.83/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13874,plain,
% 24.83/16.55 (((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73)) <=> (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 24.83/16.55 inference(rewrite,[status(thm)],[])).
% 24.83/16.55 tff(13875,plain,
% 24.83/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73))))),
% 24.83/16.55 inference(monotonicity,[status(thm)],[13874])).
% 24.83/16.55 tff(13876,plain,
% 24.83/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 24.83/16.55 inference(transitivity,[status(thm)],[13875, 13873])).
% 24.83/16.55 tff(13877,plain,
% 24.83/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))),
% 24.83/16.55 inference(quant_inst,[status(thm)],[])).
% 24.83/16.55 tff(13878,plain,
% 24.83/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73))),
% 24.83/16.56 inference(modus_ponens,[status(thm)],[13877, 13876])).
% 24.83/16.56 tff(13879,plain,
% 24.83/16.56 (~v101(constB73)),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13878, 860, 13872, 13869])).
% 24.83/16.56 tff(13880,plain,
% 24.83/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13881,plain,
% 24.83/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))),
% 24.83/16.56 inference(quant_inst,[status(thm)],[])).
% 24.83/16.56 tff(13882,plain,
% 24.83/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73))),
% 24.83/16.56 inference(modus_ponens,[status(thm)],[13881, 13880])).
% 24.83/16.56 tff(13883,plain,
% 24.83/16.56 (v101(constB73) | (~v100(constB73))),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13882, 877, 13872])).
% 24.83/16.56 tff(13884,plain,
% 24.83/16.56 (~v100(constB73)),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13883, 13879])).
% 24.83/16.56 tff(13885,plain,
% 24.83/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13886,plain,
% 24.83/16.56 (((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2)) <=> ((~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13887,plain,
% 24.83/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2)))),
% 24.83/16.56 inference(monotonicity,[status(thm)],[13886])).
% 24.83/16.56 tff(13888,plain,
% 24.83/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))),
% 24.83/16.56 inference(transitivity,[status(thm)],[13887, 13885])).
% 24.83/16.56 tff(13889,plain,
% 24.83/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2))),
% 24.83/16.56 inference(quant_inst,[status(thm)],[])).
% 24.83/16.56 tff(13890,plain,
% 24.83/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2)),
% 24.83/16.56 inference(modus_ponens,[status(thm)],[13889, 13888])).
% 24.83/16.56 tff(13891,plain,
% 24.83/16.56 ((~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2)),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13890, 1240, 13872])).
% 24.83/16.56 tff(13892,plain,
% 24.83/16.56 ((~v90(constB72, bitIndex2)) | v90(constB73, bitIndex2)),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13891, 13884])).
% 24.83/16.56 tff(13893,plain,
% 24.83/16.56 (v90(constB73, bitIndex2)),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13892, 13866])).
% 24.83/16.56 tff(13894,plain,
% 24.83/16.56 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB71)) | (~v130(constB71, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB71)) | (~v130(constB71, bitIndex1)))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13895,plain,
% 24.83/16.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB71)) | (~v130(constB71, bitIndex1)))),
% 24.83/16.56 inference(quant_inst,[status(thm)],[])).
% 24.83/16.56 tff(13896,plain,
% 24.83/16.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB71)) | (~v130(constB71, bitIndex1))),
% 24.83/16.56 inference(modus_ponens,[status(thm)],[13895, 13894])).
% 24.83/16.56 tff(13897,plain,
% 24.83/16.56 (~v130(constB71, bitIndex1)),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13896, 2792, 13772])).
% 24.83/16.56 tff(13898,plain,
% 24.83/16.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB71, bitIndex1)) | v26(constB71) | v130(constB71, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB71, bitIndex1)) | v26(constB71) | v130(constB71, bitIndex1))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13899,plain,
% 24.83/16.56 ((v26(constB71) | v130(constB71, bitIndex1) | (~v127(constB71, bitIndex1))) <=> ((~v127(constB71, bitIndex1)) | v26(constB71) | v130(constB71, bitIndex1))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13900,plain,
% 24.83/16.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB71) | v130(constB71, bitIndex1) | (~v127(constB71, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB71, bitIndex1)) | v26(constB71) | v130(constB71, bitIndex1)))),
% 24.83/16.56 inference(monotonicity,[status(thm)],[13899])).
% 24.83/16.56 tff(13901,plain,
% 24.83/16.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB71) | v130(constB71, bitIndex1) | (~v127(constB71, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB71, bitIndex1)) | v26(constB71) | v130(constB71, bitIndex1))),
% 24.83/16.56 inference(transitivity,[status(thm)],[13900, 13898])).
% 24.83/16.56 tff(13902,plain,
% 24.83/16.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB71) | v130(constB71, bitIndex1) | (~v127(constB71, bitIndex1)))),
% 24.83/16.56 inference(quant_inst,[status(thm)],[])).
% 24.83/16.56 tff(13903,plain,
% 24.83/16.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB71, bitIndex1)) | v26(constB71) | v130(constB71, bitIndex1)),
% 24.83/16.56 inference(modus_ponens,[status(thm)],[13902, 13901])).
% 24.83/16.56 tff(13904,plain,
% 24.83/16.56 ((~v127(constB71, bitIndex1)) | v130(constB71, bitIndex1)),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13903, 1270, 13798])).
% 24.83/16.56 tff(13905,plain,
% 24.83/16.56 (~v127(constB71, bitIndex1)),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13904, 13897])).
% 24.83/16.56 tff(13906,plain,
% 24.83/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB71, constB72)) | v127(constB71, bitIndex1) | (~v129(constB72, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB71, constB72)) | v127(constB71, bitIndex1) | (~v129(constB72, bitIndex1)))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13907,plain,
% 24.83/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB71, constB72)) | v127(constB71, bitIndex1) | (~v129(constB72, bitIndex1)))),
% 24.83/16.56 inference(quant_inst,[status(thm)],[])).
% 24.83/16.56 tff(13908,plain,
% 24.83/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB71, constB72)) | v127(constB71, bitIndex1) | (~v129(constB72, bitIndex1))),
% 24.83/16.56 inference(modus_ponens,[status(thm)],[13907, 13906])).
% 24.83/16.56 tff(13909,plain,
% 24.83/16.56 (v127(constB71, bitIndex1) | (~v129(constB72, bitIndex1))),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13908, 1288, 13813])).
% 24.83/16.56 tff(13910,plain,
% 24.83/16.56 (~v129(constB72, bitIndex1)),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13909, 13905])).
% 24.83/16.56 tff(13911,plain,
% 24.83/16.56 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | v129(constB72, bitIndex1) | (~v100(constB72)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB72, bitIndex1)) | v129(constB72, bitIndex1) | (~v100(constB72)))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13912,plain,
% 24.83/16.56 (((~v90(constB72, bitIndex1)) | (~v100(constB72)) | v129(constB72, bitIndex1)) <=> ((~v90(constB72, bitIndex1)) | v129(constB72, bitIndex1) | (~v100(constB72)))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13913,plain,
% 24.83/16.56 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | (~v100(constB72)) | v129(constB72, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | v129(constB72, bitIndex1) | (~v100(constB72))))),
% 24.83/16.56 inference(monotonicity,[status(thm)],[13912])).
% 24.83/16.56 tff(13914,plain,
% 24.83/16.56 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | (~v100(constB72)) | v129(constB72, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB72, bitIndex1)) | v129(constB72, bitIndex1) | (~v100(constB72)))),
% 24.83/16.56 inference(transitivity,[status(thm)],[13913, 13911])).
% 24.83/16.56 tff(13915,plain,
% 24.83/16.56 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | (~v100(constB72)) | v129(constB72, bitIndex1))),
% 24.83/16.56 inference(quant_inst,[status(thm)],[])).
% 24.83/16.56 tff(13916,plain,
% 24.83/16.56 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB72, bitIndex1)) | v129(constB72, bitIndex1) | (~v100(constB72))),
% 24.83/16.56 inference(modus_ponens,[status(thm)],[13915, 13914])).
% 24.83/16.56 tff(13917,plain,
% 24.83/16.56 ((~v90(constB72, bitIndex1)) | (~v100(constB72))),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13916, 1303, 13910])).
% 24.83/16.56 tff(13918,plain,
% 24.83/16.56 (~v90(constB72, bitIndex1)),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13917, 13844])).
% 24.83/16.56 tff(13919,plain,
% 24.83/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex1)))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13920,plain,
% 24.83/16.56 (((~nextState(constB72, constB73)) | v90(constB72, bitIndex1) | v100(constB73) | (~v90(constB73, bitIndex1))) <=> (v90(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex1)))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13921,plain,
% 24.83/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex1) | v100(constB73) | (~v90(constB73, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex1))))),
% 24.83/16.56 inference(monotonicity,[status(thm)],[13920])).
% 24.83/16.56 tff(13922,plain,
% 24.83/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex1) | v100(constB73) | (~v90(constB73, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex1)))),
% 24.83/16.56 inference(transitivity,[status(thm)],[13921, 13919])).
% 24.83/16.56 tff(13923,plain,
% 24.83/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex1) | v100(constB73) | (~v90(constB73, bitIndex1)))),
% 24.83/16.56 inference(quant_inst,[status(thm)],[])).
% 24.83/16.56 tff(13924,plain,
% 24.83/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex1))),
% 24.83/16.56 inference(modus_ponens,[status(thm)],[13923, 13922])).
% 24.83/16.56 tff(13925,plain,
% 24.83/16.56 (v90(constB72, bitIndex1) | v100(constB73) | (~v90(constB73, bitIndex1))),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13924, 913, 13872])).
% 24.83/16.56 tff(13926,plain,
% 24.83/16.56 (v90(constB72, bitIndex1) | (~v90(constB73, bitIndex1))),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13925, 13884])).
% 24.83/16.56 tff(13927,plain,
% 24.83/16.56 (~v90(constB73, bitIndex1)),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13926, 13918])).
% 24.83/16.56 tff(13928,plain,
% 24.83/16.56 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB71)) | (~v130(constB71, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB71)) | (~v130(constB71, bitIndex0)))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13929,plain,
% 24.83/16.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB71)) | (~v130(constB71, bitIndex0)))),
% 24.83/16.56 inference(quant_inst,[status(thm)],[])).
% 24.83/16.56 tff(13930,plain,
% 24.83/16.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB71)) | (~v130(constB71, bitIndex0))),
% 24.83/16.56 inference(modus_ponens,[status(thm)],[13929, 13928])).
% 24.83/16.56 tff(13931,plain,
% 24.83/16.56 (~v130(constB71, bitIndex0)),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13930, 2833, 13772])).
% 24.83/16.56 tff(13932,assumption,(v127(constB71, bitIndex0)), introduced(assumption)).
% 24.83/16.56 tff(13933,assumption,(~v130(constB71, bitIndex0)), introduced(assumption)).
% 24.83/16.56 tff(13934,plain,
% 24.83/16.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13935,plain,
% 24.83/16.56 ((v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0))) <=> ((~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13936,plain,
% 24.83/16.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0)))),
% 24.83/16.56 inference(monotonicity,[status(thm)],[13935])).
% 24.83/16.56 tff(13937,plain,
% 24.83/16.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))),
% 24.83/16.56 inference(transitivity,[status(thm)],[13936, 13934])).
% 24.83/16.56 tff(13938,plain,
% 24.83/16.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0)))),
% 24.83/16.56 inference(quant_inst,[status(thm)],[])).
% 24.83/16.56 tff(13939,plain,
% 24.83/16.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0)),
% 24.83/16.56 inference(modus_ponens,[status(thm)],[13938, 13937])).
% 24.83/16.56 tff(13940,plain,
% 24.83/16.56 ((~v127(constB71, bitIndex0)) | v26(constB71)),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13939, 1341, 13933])).
% 24.83/16.56 tff(13941,plain,
% 24.83/16.56 (v26(constB71)),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13940, 13932])).
% 24.83/16.56 tff(13942,plain,
% 24.83/16.56 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB71)) | (~v127(constB71, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB71)) | (~v127(constB71, bitIndex0)))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13943,plain,
% 24.83/16.56 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB71)) | (~v127(constB71, bitIndex0)))),
% 24.83/16.56 inference(quant_inst,[status(thm)],[])).
% 24.83/16.56 tff(13944,plain,
% 24.83/16.56 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB71)) | (~v127(constB71, bitIndex0))),
% 24.83/16.56 inference(modus_ponens,[status(thm)],[13943, 13942])).
% 24.83/16.56 tff(13945,plain,
% 24.83/16.56 ($false),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13944, 2189, 13932, 13941])).
% 24.83/16.56 tff(13946,plain,((~v127(constB71, bitIndex0)) | v130(constB71, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 24.83/16.56 tff(13947,plain,
% 24.83/16.56 (~v127(constB71, bitIndex0)),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13946, 13931])).
% 24.83/16.56 tff(13948,plain,
% 24.83/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0)))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13949,plain,
% 24.83/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0)))),
% 24.83/16.56 inference(quant_inst,[status(thm)],[])).
% 24.83/16.56 tff(13950,plain,
% 24.83/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0))),
% 24.83/16.56 inference(modus_ponens,[status(thm)],[13949, 13948])).
% 24.83/16.56 tff(13951,plain,
% 24.83/16.56 (v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0))),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13950, 1359, 13813])).
% 24.83/16.56 tff(13952,plain,
% 24.83/16.56 (~v129(constB72, bitIndex0)),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13951, 13947])).
% 24.83/16.56 tff(13953,plain,
% 24.83/16.56 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13954,plain,
% 24.83/16.56 (((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0)) <=> ((~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13955,plain,
% 24.83/16.56 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72))))),
% 24.83/16.56 inference(monotonicity,[status(thm)],[13954])).
% 24.83/16.56 tff(13956,plain,
% 24.83/16.56 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))),
% 24.83/16.56 inference(transitivity,[status(thm)],[13955, 13953])).
% 24.83/16.56 tff(13957,plain,
% 24.83/16.56 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0))),
% 24.83/16.56 inference(quant_inst,[status(thm)],[])).
% 24.83/16.56 tff(13958,plain,
% 24.83/16.56 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72))),
% 24.83/16.56 inference(modus_ponens,[status(thm)],[13957, 13956])).
% 24.83/16.56 tff(13959,plain,
% 24.83/16.56 ((~v90(constB72, bitIndex0)) | (~v100(constB72))),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13958, 1374, 13952])).
% 24.83/16.56 tff(13960,plain,
% 24.83/16.56 (~v90(constB72, bitIndex0)),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13959, 13844])).
% 24.83/16.56 tff(13961,plain,
% 24.83/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13962,plain,
% 24.83/16.56 (((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0))) <=> (v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13963,plain,
% 24.83/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0))))),
% 24.83/16.56 inference(monotonicity,[status(thm)],[13962])).
% 24.83/16.56 tff(13964,plain,
% 24.83/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 24.83/16.56 inference(transitivity,[status(thm)],[13963, 13961])).
% 24.83/16.56 tff(13965,plain,
% 24.83/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 24.83/16.56 inference(quant_inst,[status(thm)],[])).
% 24.83/16.56 tff(13966,plain,
% 24.83/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0))),
% 24.83/16.56 inference(modus_ponens,[status(thm)],[13965, 13964])).
% 24.83/16.56 tff(13967,plain,
% 24.83/16.56 (v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0))),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13966, 934, 13872])).
% 24.83/16.56 tff(13968,plain,
% 24.83/16.56 (v90(constB72, bitIndex0) | (~v90(constB73, bitIndex0))),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13967, 13884])).
% 24.83/16.56 tff(13969,plain,
% 24.83/16.56 (~v90(constB73, bitIndex0)),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13968, 13960])).
% 24.83/16.56 tff(13970,plain,
% 24.83/16.56 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | v123(constB73))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | v123(constB73))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13971,plain,
% 24.83/16.56 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | v123(constB73))),
% 24.83/16.56 inference(quant_inst,[status(thm)],[])).
% 24.83/16.56 tff(13972,plain,
% 24.83/16.56 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | v123(constB73)),
% 24.83/16.56 inference(modus_ponens,[status(thm)],[13971, 13970])).
% 24.83/16.56 tff(13973,plain,
% 24.83/16.56 (v123(constB73)),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13972, 1401, 13969, 13927, 13893])).
% 24.83/16.56 tff(13974,plain,
% 24.83/16.56 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB73)) | v115(constB73))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB73)) | v115(constB73))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13975,plain,
% 24.83/16.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB73)) | v115(constB73))),
% 24.83/16.56 inference(quant_inst,[status(thm)],[])).
% 24.83/16.56 tff(13976,plain,
% 24.83/16.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB73)) | v115(constB73)),
% 24.83/16.56 inference(modus_ponens,[status(thm)],[13975, 13974])).
% 24.83/16.56 tff(13977,plain,
% 24.83/16.56 (v115(constB73)),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13976, 1412, 13973])).
% 24.83/16.56 tff(13978,plain,
% 24.83/16.56 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB73) | (~v115(constB73)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB73) | (~v115(constB73)))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13979,plain,
% 24.83/16.56 (((~v115(constB73)) | v114(constB73)) <=> (v114(constB73) | (~v115(constB73)))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13980,plain,
% 24.83/16.56 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB73)) | v114(constB73))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB73) | (~v115(constB73))))),
% 24.83/16.56 inference(monotonicity,[status(thm)],[13979])).
% 24.83/16.56 tff(13981,plain,
% 24.83/16.56 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB73)) | v114(constB73))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB73) | (~v115(constB73)))),
% 24.83/16.56 inference(transitivity,[status(thm)],[13980, 13978])).
% 24.83/16.56 tff(13982,plain,
% 24.83/16.56 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB73)) | v114(constB73))),
% 24.83/16.56 inference(quant_inst,[status(thm)],[])).
% 24.83/16.56 tff(13983,plain,
% 24.83/16.56 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB73) | (~v115(constB73))),
% 24.83/16.56 inference(modus_ponens,[status(thm)],[13982, 13981])).
% 24.83/16.56 tff(13984,plain,
% 24.83/16.56 (v114(constB73)),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13983, 1022, 13977])).
% 24.83/16.56 tff(13985,plain,
% 24.83/16.56 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB73) | (~v114(constB73)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB73) | (~v114(constB73)))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13986,plain,
% 24.83/16.56 (((~v114(constB73)) | v113(constB73)) <=> (v113(constB73) | (~v114(constB73)))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13987,plain,
% 24.83/16.56 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB73)) | v113(constB73))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB73) | (~v114(constB73))))),
% 24.83/16.56 inference(monotonicity,[status(thm)],[13986])).
% 24.83/16.56 tff(13988,plain,
% 24.83/16.56 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB73)) | v113(constB73))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB73) | (~v114(constB73)))),
% 24.83/16.56 inference(transitivity,[status(thm)],[13987, 13985])).
% 24.83/16.56 tff(13989,plain,
% 24.83/16.56 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB73)) | v113(constB73))),
% 24.83/16.56 inference(quant_inst,[status(thm)],[])).
% 24.83/16.56 tff(13990,plain,
% 24.83/16.56 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB73) | (~v114(constB73))),
% 24.83/16.56 inference(modus_ponens,[status(thm)],[13989, 13988])).
% 24.83/16.56 tff(13991,plain,
% 24.83/16.56 (v113(constB73)),
% 24.83/16.56 inference(unit_resolution,[status(thm)],[13990, 1036, 13984])).
% 24.83/16.56 tff(13992,plain,
% 24.83/16.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | v112(constB73) | (~v113(constB73)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | v112(constB73) | (~v113(constB73)))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13993,plain,
% 24.83/16.56 ((v26(constB73) | (~v113(constB73)) | v112(constB73)) <=> (v26(constB73) | v112(constB73) | (~v113(constB73)))),
% 24.83/16.56 inference(rewrite,[status(thm)],[])).
% 24.83/16.56 tff(13994,plain,
% 24.83/16.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | v112(constB73) | (~v113(constB73))))),
% 24.83/16.56 inference(monotonicity,[status(thm)],[13993])).
% 24.83/16.56 tff(13995,plain,
% 24.83/16.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | v112(constB73) | (~v113(constB73)))),
% 24.83/16.56 inference(transitivity,[status(thm)],[13994, 13992])).
% 24.83/16.56 tff(13996,plain,
% 24.83/16.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))),
% 24.83/16.56 inference(quant_inst,[status(thm)],[])).
% 24.83/16.56 tff(13997,plain,
% 24.83/16.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | v112(constB73) | (~v113(constB73))),
% 24.83/16.56 inference(modus_ponens,[status(thm)],[13996, 13995])).
% 24.83/16.56 tff(13998,plain,
% 24.83/16.57 (v26(constB73) | v112(constB73)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[13997, 1050, 13991])).
% 24.83/16.57 tff(13999,plain,
% 24.83/16.57 (v112(constB73)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[13998, 820])).
% 24.83/16.57 tff(14000,plain,
% 24.83/16.57 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB73) | (~v112(constB73)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v112(constB73)))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14001,plain,
% 24.83/16.57 (((~v112(constB73)) | v108(constB73)) <=> (v108(constB73) | (~v112(constB73)))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14002,plain,
% 24.83/16.57 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB73)) | v108(constB73))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB73) | (~v112(constB73))))),
% 24.83/16.57 inference(monotonicity,[status(thm)],[14001])).
% 24.83/16.57 tff(14003,plain,
% 24.83/16.57 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB73)) | v108(constB73))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v112(constB73)))),
% 24.83/16.57 inference(transitivity,[status(thm)],[14002, 14000])).
% 24.83/16.57 tff(14004,plain,
% 24.83/16.57 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB73)) | v108(constB73))),
% 24.83/16.57 inference(quant_inst,[status(thm)],[])).
% 24.83/16.57 tff(14005,plain,
% 24.83/16.57 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v112(constB73))),
% 24.83/16.57 inference(modus_ponens,[status(thm)],[14004, 14003])).
% 24.83/16.57 tff(14006,plain,
% 24.83/16.57 (v108(constB73)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14005, 1062, 13999])).
% 24.83/16.57 tff(14007,plain,
% 24.83/16.57 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14008,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_73_1')).
% 24.83/16.57 tff(14009,plain,
% 24.83/16.57 (nextState(constB73, constB74)),
% 24.83/16.57 inference(modus_ponens,[status(thm)],[14008, 14007])).
% 24.83/16.57 tff(14010,plain,
% 24.83/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14011,plain,
% 24.83/16.57 (((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74)) <=> ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14012,plain,
% 24.83/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73))))),
% 24.83/16.57 inference(monotonicity,[status(thm)],[14011])).
% 24.83/16.57 tff(14013,plain,
% 24.83/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 24.83/16.57 inference(transitivity,[status(thm)],[14012, 14010])).
% 24.83/16.57 tff(14014,plain,
% 24.83/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))),
% 24.83/16.57 inference(quant_inst,[status(thm)],[])).
% 24.83/16.57 tff(14015,plain,
% 24.83/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73))),
% 24.83/16.57 inference(modus_ponens,[status(thm)],[14014, 14013])).
% 24.83/16.57 tff(14016,plain,
% 24.83/16.57 (v110(constB74) | (~v108(constB73))),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14015, 1082, 14009])).
% 24.83/16.57 tff(14017,plain,
% 24.83/16.57 (v110(constB74)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14016, 14006])).
% 24.83/16.57 tff(14018,plain,
% 24.83/16.57 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14019,plain,
% 24.83/16.57 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))),
% 24.83/16.57 inference(quant_inst,[status(thm)],[])).
% 24.83/16.57 tff(14020,plain,
% 24.83/16.57 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74))),
% 24.83/16.57 inference(modus_ponens,[status(thm)],[14019, 14018])).
% 24.83/16.57 tff(14021,plain,
% 24.83/16.57 (~v104(constB74)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14020, 1100, 14009, 13869])).
% 24.83/16.57 tff(14022,plain,
% 24.83/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14023,plain,
% 24.83/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))),
% 24.83/16.57 inference(quant_inst,[status(thm)],[])).
% 24.83/16.57 tff(14024,plain,
% 24.83/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v102(constB74) | v104(constB74)),
% 24.83/16.57 inference(modus_ponens,[status(thm)],[14023, 14022])).
% 24.83/16.57 tff(14025,plain,
% 24.83/16.57 (v102(constB74) | v104(constB74)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14024, 1114, 14009])).
% 24.83/16.57 tff(14026,plain,
% 24.83/16.57 (v102(constB74)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14025, 14021])).
% 24.83/16.57 tff(14027,plain,
% 24.83/16.57 (v1(constB74) <=> v1(constB74)),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14028,axiom,(v1(constB74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_74_1')).
% 24.83/16.57 tff(14029,plain,
% 24.83/16.57 (v1(constB74)),
% 24.83/16.57 inference(modus_ponens,[status(thm)],[14028, 14027])).
% 24.83/16.57 tff(14030,plain,
% 24.83/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14031,plain,
% 24.83/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))),
% 24.83/16.57 inference(quant_inst,[status(thm)],[])).
% 24.83/16.57 tff(14032,plain,
% 24.83/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74))),
% 24.83/16.57 inference(modus_ponens,[status(thm)],[14031, 14030])).
% 24.83/16.57 tff(14033,plain,
% 24.83/16.57 (v101(constB74) | (~v102(constB74))),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14032, 1129, 14009, 14029])).
% 24.83/16.57 tff(14034,plain,
% 24.83/16.57 (v101(constB74)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14033, 14026])).
% 24.83/16.57 tff(14035,plain,
% 24.83/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14036,plain,
% 24.83/16.57 (((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74)) <=> ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14037,plain,
% 24.83/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74))))),
% 24.83/16.57 inference(monotonicity,[status(thm)],[14036])).
% 24.83/16.57 tff(14038,plain,
% 24.83/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 24.83/16.57 inference(transitivity,[status(thm)],[14037, 14035])).
% 24.83/16.57 tff(14039,plain,
% 24.83/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))),
% 24.83/16.57 inference(quant_inst,[status(thm)],[])).
% 24.83/16.57 tff(14040,plain,
% 24.83/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 24.83/16.57 inference(modus_ponens,[status(thm)],[14039, 14038])).
% 24.83/16.57 tff(14041,plain,
% 24.83/16.57 (v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14040, 1144, 14009])).
% 24.83/16.57 tff(14042,plain,
% 24.83/16.57 (v100(constB74) | (~v110(constB74))),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14041, 14034])).
% 24.83/16.57 tff(14043,plain,
% 24.83/16.57 (v100(constB74)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14042, 14017])).
% 24.83/16.57 tff(14044,plain,
% 24.83/16.57 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB73)) | v130(constB73, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB73)) | v130(constB73, bitIndex2))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14045,plain,
% 24.83/16.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB73)) | v130(constB73, bitIndex2))),
% 24.83/16.57 inference(quant_inst,[status(thm)],[])).
% 24.83/16.57 tff(14046,plain,
% 24.83/16.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB73)) | v130(constB73, bitIndex2)),
% 24.83/16.57 inference(modus_ponens,[status(thm)],[14045, 14044])).
% 24.83/16.57 tff(14047,plain,
% 24.83/16.57 (v130(constB73, bitIndex2)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14046, 1483, 13973])).
% 24.83/16.57 tff(14048,plain,
% 24.83/16.57 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB73) | (~v130(constB73, bitIndex2)) | v127(constB73, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB73) | (~v130(constB73, bitIndex2)) | v127(constB73, bitIndex2))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14049,plain,
% 24.83/16.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB73) | (~v130(constB73, bitIndex2)) | v127(constB73, bitIndex2))),
% 24.83/16.57 inference(quant_inst,[status(thm)],[])).
% 24.83/16.57 tff(14050,plain,
% 24.83/16.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB73) | (~v130(constB73, bitIndex2)) | v127(constB73, bitIndex2)),
% 24.83/16.57 inference(modus_ponens,[status(thm)],[14049, 14048])).
% 24.83/16.57 tff(14051,plain,
% 24.83/16.57 (v26(constB73) | v127(constB73, bitIndex2)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14050, 1174, 14047])).
% 24.83/16.57 tff(14052,plain,
% 24.83/16.57 (v127(constB73, bitIndex2)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14051, 820])).
% 24.83/16.57 tff(14053,plain,
% 24.83/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB73, constB74)) | (~v127(constB73, bitIndex2)) | v129(constB74, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB73, constB74)) | (~v127(constB73, bitIndex2)) | v129(constB74, bitIndex2))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14054,plain,
% 24.83/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB73, constB74)) | (~v127(constB73, bitIndex2)) | v129(constB74, bitIndex2))),
% 24.83/16.57 inference(quant_inst,[status(thm)],[])).
% 24.83/16.57 tff(14055,plain,
% 24.83/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB73, constB74)) | (~v127(constB73, bitIndex2)) | v129(constB74, bitIndex2)),
% 24.83/16.57 inference(modus_ponens,[status(thm)],[14054, 14053])).
% 24.83/16.57 tff(14056,plain,
% 24.83/16.57 ((~v127(constB73, bitIndex2)) | v129(constB74, bitIndex2)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14055, 1189, 14009])).
% 24.83/16.57 tff(14057,plain,
% 24.83/16.57 (v129(constB74, bitIndex2)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14056, 14052])).
% 24.83/16.57 tff(14058,plain,
% 24.83/16.57 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB74, bitIndex2) | (~v129(constB74, bitIndex2)) | (~v100(constB74)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB74, bitIndex2) | (~v129(constB74, bitIndex2)) | (~v100(constB74)))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14059,plain,
% 24.83/16.57 ((v90(constB74, bitIndex2) | (~v100(constB74)) | (~v129(constB74, bitIndex2))) <=> (v90(constB74, bitIndex2) | (~v129(constB74, bitIndex2)) | (~v100(constB74)))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14060,plain,
% 24.83/16.57 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB74, bitIndex2) | (~v100(constB74)) | (~v129(constB74, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB74, bitIndex2) | (~v129(constB74, bitIndex2)) | (~v100(constB74))))),
% 24.83/16.57 inference(monotonicity,[status(thm)],[14059])).
% 24.83/16.57 tff(14061,plain,
% 24.83/16.57 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB74, bitIndex2) | (~v100(constB74)) | (~v129(constB74, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB74, bitIndex2) | (~v129(constB74, bitIndex2)) | (~v100(constB74)))),
% 24.83/16.57 inference(transitivity,[status(thm)],[14060, 14058])).
% 24.83/16.57 tff(14062,plain,
% 24.83/16.57 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB74, bitIndex2) | (~v100(constB74)) | (~v129(constB74, bitIndex2)))),
% 24.83/16.57 inference(quant_inst,[status(thm)],[])).
% 24.83/16.57 tff(14063,plain,
% 24.83/16.57 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB74, bitIndex2) | (~v129(constB74, bitIndex2)) | (~v100(constB74))),
% 24.83/16.57 inference(modus_ponens,[status(thm)],[14062, 14061])).
% 24.83/16.57 tff(14064,plain,
% 24.83/16.57 (v90(constB74, bitIndex2) | (~v100(constB74))),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14063, 1204, 14057])).
% 24.83/16.57 tff(14065,plain,
% 24.83/16.57 (v90(constB74, bitIndex2)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14064, 14043])).
% 24.83/16.57 tff(14066,plain,
% 24.83/16.57 ((~v1(constB75)) <=> (~v1(constB75))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14067,axiom,(~v1(constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_75_1_1')).
% 24.83/16.57 tff(14068,plain,
% 24.83/16.57 (~v1(constB75)),
% 24.83/16.57 inference(modus_ponens,[status(thm)],[14067, 14066])).
% 24.83/16.57 tff(14069,plain,
% 24.83/16.57 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14070,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_74_1')).
% 24.83/16.57 tff(14071,plain,
% 24.83/16.57 (nextState(constB74, constB75)),
% 24.83/16.57 inference(modus_ponens,[status(thm)],[14070, 14069])).
% 24.83/16.57 tff(14072,plain,
% 24.83/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14073,plain,
% 24.83/16.57 (((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75)) <=> (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14074,plain,
% 24.83/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75))))),
% 24.83/16.57 inference(monotonicity,[status(thm)],[14073])).
% 24.83/16.57 tff(14075,plain,
% 24.83/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 24.83/16.57 inference(transitivity,[status(thm)],[14074, 14072])).
% 24.83/16.57 tff(14076,plain,
% 24.83/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))),
% 24.83/16.57 inference(quant_inst,[status(thm)],[])).
% 24.83/16.57 tff(14077,plain,
% 24.83/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75))),
% 24.83/16.57 inference(modus_ponens,[status(thm)],[14076, 14075])).
% 24.83/16.57 tff(14078,plain,
% 24.83/16.57 (~v101(constB75)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14077, 860, 14071, 14068])).
% 24.83/16.57 tff(14079,plain,
% 24.83/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14080,plain,
% 24.83/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))),
% 24.83/16.57 inference(quant_inst,[status(thm)],[])).
% 24.83/16.57 tff(14081,plain,
% 24.83/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75))),
% 24.83/16.57 inference(modus_ponens,[status(thm)],[14080, 14079])).
% 24.83/16.57 tff(14082,plain,
% 24.83/16.57 (v101(constB75) | (~v100(constB75))),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14081, 877, 14071])).
% 24.83/16.57 tff(14083,plain,
% 24.83/16.57 (~v100(constB75)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14082, 14078])).
% 24.83/16.57 tff(14084,plain,
% 24.83/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex2))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14085,plain,
% 24.83/16.57 (((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex2)) | v100(constB75) | v90(constB75, bitIndex2)) <=> ((~v90(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex2))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14086,plain,
% 24.83/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex2)) | v100(constB75) | v90(constB75, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex2)))),
% 24.83/16.57 inference(monotonicity,[status(thm)],[14085])).
% 24.83/16.57 tff(14087,plain,
% 24.83/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex2)) | v100(constB75) | v90(constB75, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex2))),
% 24.83/16.57 inference(transitivity,[status(thm)],[14086, 14084])).
% 24.83/16.57 tff(14088,plain,
% 24.83/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex2)) | v100(constB75) | v90(constB75, bitIndex2))),
% 24.83/16.57 inference(quant_inst,[status(thm)],[])).
% 24.83/16.57 tff(14089,plain,
% 24.83/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex2)),
% 24.83/16.57 inference(modus_ponens,[status(thm)],[14088, 14087])).
% 24.83/16.57 tff(14090,plain,
% 24.83/16.57 ((~v90(constB74, bitIndex2)) | v100(constB75) | v90(constB75, bitIndex2)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14089, 1240, 14071])).
% 24.83/16.57 tff(14091,plain,
% 24.83/16.57 ((~v90(constB74, bitIndex2)) | v90(constB75, bitIndex2)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14090, 14083])).
% 24.83/16.57 tff(14092,plain,
% 24.83/16.57 (v90(constB75, bitIndex2)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14091, 14065])).
% 24.83/16.57 tff(14093,plain,
% 24.83/16.57 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB73)) | v130(constB73, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB73)) | v130(constB73, bitIndex1))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14094,plain,
% 24.83/16.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB73)) | v130(constB73, bitIndex1))),
% 24.83/16.57 inference(quant_inst,[status(thm)],[])).
% 24.83/16.57 tff(14095,plain,
% 24.83/16.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB73)) | v130(constB73, bitIndex1)),
% 24.83/16.57 inference(modus_ponens,[status(thm)],[14094, 14093])).
% 24.83/16.57 tff(14096,plain,
% 24.83/16.57 (v130(constB73, bitIndex1)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14095, 1539, 13973])).
% 24.83/16.57 tff(14097,plain,
% 24.83/16.57 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB73) | (~v130(constB73, bitIndex1)) | v127(constB73, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB73) | (~v130(constB73, bitIndex1)) | v127(constB73, bitIndex1))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14098,plain,
% 24.83/16.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB73) | (~v130(constB73, bitIndex1)) | v127(constB73, bitIndex1))),
% 24.83/16.57 inference(quant_inst,[status(thm)],[])).
% 24.83/16.57 tff(14099,plain,
% 24.83/16.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB73) | (~v130(constB73, bitIndex1)) | v127(constB73, bitIndex1)),
% 24.83/16.57 inference(modus_ponens,[status(thm)],[14098, 14097])).
% 24.83/16.57 tff(14100,plain,
% 24.83/16.57 (v26(constB73) | v127(constB73, bitIndex1)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14099, 1553, 14096])).
% 24.83/16.57 tff(14101,plain,
% 24.83/16.57 (v127(constB73, bitIndex1)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14100, 820])).
% 24.83/16.57 tff(14102,plain,
% 24.83/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB73, constB74)) | (~v127(constB73, bitIndex1)) | v129(constB74, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB73, constB74)) | (~v127(constB73, bitIndex1)) | v129(constB74, bitIndex1))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14103,plain,
% 24.83/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB73, constB74)) | (~v127(constB73, bitIndex1)) | v129(constB74, bitIndex1))),
% 24.83/16.57 inference(quant_inst,[status(thm)],[])).
% 24.83/16.57 tff(14104,plain,
% 24.83/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB73, constB74)) | (~v127(constB73, bitIndex1)) | v129(constB74, bitIndex1)),
% 24.83/16.57 inference(modus_ponens,[status(thm)],[14103, 14102])).
% 24.83/16.57 tff(14105,plain,
% 24.83/16.57 ((~v127(constB73, bitIndex1)) | v129(constB74, bitIndex1)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14104, 1568, 14009])).
% 24.83/16.57 tff(14106,plain,
% 24.83/16.57 (v129(constB74, bitIndex1)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14105, 14101])).
% 24.83/16.57 tff(14107,plain,
% 24.83/16.57 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~v129(constB74, bitIndex1)) | (~v100(constB74)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB74, bitIndex1) | (~v129(constB74, bitIndex1)) | (~v100(constB74)))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14108,plain,
% 24.83/16.57 ((v90(constB74, bitIndex1) | (~v100(constB74)) | (~v129(constB74, bitIndex1))) <=> (v90(constB74, bitIndex1) | (~v129(constB74, bitIndex1)) | (~v100(constB74)))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14109,plain,
% 24.83/16.57 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~v100(constB74)) | (~v129(constB74, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~v129(constB74, bitIndex1)) | (~v100(constB74))))),
% 24.83/16.57 inference(monotonicity,[status(thm)],[14108])).
% 24.83/16.57 tff(14110,plain,
% 24.83/16.57 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~v100(constB74)) | (~v129(constB74, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB74, bitIndex1) | (~v129(constB74, bitIndex1)) | (~v100(constB74)))),
% 24.83/16.57 inference(transitivity,[status(thm)],[14109, 14107])).
% 24.83/16.57 tff(14111,plain,
% 24.83/16.57 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~v100(constB74)) | (~v129(constB74, bitIndex1)))),
% 24.83/16.57 inference(quant_inst,[status(thm)],[])).
% 24.83/16.57 tff(14112,plain,
% 24.83/16.57 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB74, bitIndex1) | (~v129(constB74, bitIndex1)) | (~v100(constB74))),
% 24.83/16.57 inference(modus_ponens,[status(thm)],[14111, 14110])).
% 24.83/16.57 tff(14113,plain,
% 24.83/16.57 (v90(constB74, bitIndex1) | (~v100(constB74))),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14112, 1583, 14106])).
% 24.83/16.57 tff(14114,plain,
% 24.83/16.57 (v90(constB74, bitIndex1)),
% 24.83/16.57 inference(unit_resolution,[status(thm)],[14113, 14043])).
% 24.83/16.57 tff(14115,plain,
% 24.83/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex1))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14116,plain,
% 24.83/16.57 (((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex1)) | v100(constB75) | v90(constB75, bitIndex1)) <=> ((~v90(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex1))),
% 24.83/16.57 inference(rewrite,[status(thm)],[])).
% 24.83/16.57 tff(14117,plain,
% 24.83/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex1)) | v100(constB75) | v90(constB75, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex1)))),
% 24.83/16.57 inference(monotonicity,[status(thm)],[14116])).
% 24.83/16.57 tff(14118,plain,
% 24.83/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex1)) | v100(constB75) | v90(constB75, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex1))),
% 24.83/16.57 inference(transitivity,[status(thm)],[14117, 14115])).
% 24.83/16.57 tff(14119,plain,
% 24.83/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex1)) | v100(constB75) | v90(constB75, bitIndex1))),
% 24.83/16.57 inference(quant_inst,[status(thm)],[])).
% 24.83/16.57 tff(14120,plain,
% 24.83/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex1)),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14119, 14118])).
% 24.83/16.58 tff(14121,plain,
% 24.83/16.58 ((~v90(constB74, bitIndex1)) | v100(constB75) | v90(constB75, bitIndex1)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14120, 1601, 14071])).
% 24.83/16.58 tff(14122,plain,
% 24.83/16.58 ((~v90(constB74, bitIndex1)) | v90(constB75, bitIndex1)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14121, 14083])).
% 24.83/16.58 tff(14123,plain,
% 24.83/16.58 (v90(constB75, bitIndex1)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14122, 14114])).
% 24.83/16.58 tff(14124,plain,
% 24.83/16.58 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB73)) | (~v130(constB73, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB73)) | (~v130(constB73, bitIndex0)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14125,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB73)) | (~v130(constB73, bitIndex0)))),
% 24.83/16.58 inference(quant_inst,[status(thm)],[])).
% 24.83/16.58 tff(14126,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB73)) | (~v130(constB73, bitIndex0))),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14125, 14124])).
% 24.83/16.58 tff(14127,plain,
% 24.83/16.58 (~v130(constB73, bitIndex0)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14126, 1617, 13973])).
% 24.83/16.58 tff(14128,plain,
% 24.83/16.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB73, bitIndex0)) | v26(constB73) | v130(constB73, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB73, bitIndex0)) | v26(constB73) | v130(constB73, bitIndex0))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14129,plain,
% 24.83/16.58 ((v26(constB73) | v130(constB73, bitIndex0) | (~v127(constB73, bitIndex0))) <=> ((~v127(constB73, bitIndex0)) | v26(constB73) | v130(constB73, bitIndex0))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14130,plain,
% 24.83/16.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB73) | v130(constB73, bitIndex0) | (~v127(constB73, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB73, bitIndex0)) | v26(constB73) | v130(constB73, bitIndex0)))),
% 24.83/16.58 inference(monotonicity,[status(thm)],[14129])).
% 24.83/16.58 tff(14131,plain,
% 24.83/16.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB73) | v130(constB73, bitIndex0) | (~v127(constB73, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB73, bitIndex0)) | v26(constB73) | v130(constB73, bitIndex0))),
% 24.83/16.58 inference(transitivity,[status(thm)],[14130, 14128])).
% 24.83/16.58 tff(14132,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB73) | v130(constB73, bitIndex0) | (~v127(constB73, bitIndex0)))),
% 24.83/16.58 inference(quant_inst,[status(thm)],[])).
% 24.83/16.58 tff(14133,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB73, bitIndex0)) | v26(constB73) | v130(constB73, bitIndex0)),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14132, 14131])).
% 24.83/16.58 tff(14134,plain,
% 24.83/16.58 ((~v127(constB73, bitIndex0)) | v26(constB73)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14133, 1341, 14127])).
% 24.83/16.58 tff(14135,plain,
% 24.83/16.58 (~v127(constB73, bitIndex0)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14134, 820])).
% 24.83/16.58 tff(14136,plain,
% 24.83/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex0) | (~v129(constB74, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex0) | (~v129(constB74, bitIndex0)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14137,plain,
% 24.83/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex0) | (~v129(constB74, bitIndex0)))),
% 24.83/16.58 inference(quant_inst,[status(thm)],[])).
% 24.83/16.58 tff(14138,plain,
% 24.83/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex0) | (~v129(constB74, bitIndex0))),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14137, 14136])).
% 24.83/16.58 tff(14139,plain,
% 24.83/16.58 (v127(constB73, bitIndex0) | (~v129(constB74, bitIndex0))),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14138, 1359, 14009])).
% 24.83/16.58 tff(14140,plain,
% 24.83/16.58 (~v129(constB74, bitIndex0)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14139, 14135])).
% 24.83/16.58 tff(14141,plain,
% 24.83/16.58 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB74, bitIndex0)) | v129(constB74, bitIndex0) | (~v100(constB74)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB74, bitIndex0)) | v129(constB74, bitIndex0) | (~v100(constB74)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14142,plain,
% 24.83/16.58 (((~v90(constB74, bitIndex0)) | (~v100(constB74)) | v129(constB74, bitIndex0)) <=> ((~v90(constB74, bitIndex0)) | v129(constB74, bitIndex0) | (~v100(constB74)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14143,plain,
% 24.83/16.58 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB74, bitIndex0)) | (~v100(constB74)) | v129(constB74, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB74, bitIndex0)) | v129(constB74, bitIndex0) | (~v100(constB74))))),
% 24.83/16.58 inference(monotonicity,[status(thm)],[14142])).
% 24.83/16.58 tff(14144,plain,
% 24.83/16.58 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB74, bitIndex0)) | (~v100(constB74)) | v129(constB74, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB74, bitIndex0)) | v129(constB74, bitIndex0) | (~v100(constB74)))),
% 24.83/16.58 inference(transitivity,[status(thm)],[14143, 14141])).
% 24.83/16.58 tff(14145,plain,
% 24.83/16.58 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB74, bitIndex0)) | (~v100(constB74)) | v129(constB74, bitIndex0))),
% 24.83/16.58 inference(quant_inst,[status(thm)],[])).
% 24.83/16.58 tff(14146,plain,
% 24.83/16.58 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB74, bitIndex0)) | v129(constB74, bitIndex0) | (~v100(constB74))),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14145, 14144])).
% 24.83/16.58 tff(14147,plain,
% 24.83/16.58 ((~v90(constB74, bitIndex0)) | (~v100(constB74))),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14146, 1374, 14140])).
% 24.83/16.58 tff(14148,plain,
% 24.83/16.58 (~v90(constB74, bitIndex0)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14147, 14043])).
% 24.83/16.58 tff(14149,plain,
% 24.83/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex0)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14150,plain,
% 24.83/16.58 (((~nextState(constB74, constB75)) | v90(constB74, bitIndex0) | v100(constB75) | (~v90(constB75, bitIndex0))) <=> (v90(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex0)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14151,plain,
% 24.83/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex0) | v100(constB75) | (~v90(constB75, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex0))))),
% 24.83/16.58 inference(monotonicity,[status(thm)],[14150])).
% 24.83/16.58 tff(14152,plain,
% 24.83/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex0) | v100(constB75) | (~v90(constB75, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex0)))),
% 24.83/16.58 inference(transitivity,[status(thm)],[14151, 14149])).
% 24.83/16.58 tff(14153,plain,
% 24.83/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex0) | v100(constB75) | (~v90(constB75, bitIndex0)))),
% 24.83/16.58 inference(quant_inst,[status(thm)],[])).
% 24.83/16.58 tff(14154,plain,
% 24.83/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex0))),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14153, 14152])).
% 24.83/16.58 tff(14155,plain,
% 24.83/16.58 (v90(constB74, bitIndex0) | v100(constB75) | (~v90(constB75, bitIndex0))),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14154, 934, 14071])).
% 24.83/16.58 tff(14156,plain,
% 24.83/16.58 (v90(constB74, bitIndex0) | (~v90(constB75, bitIndex0))),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14155, 14083])).
% 24.83/16.58 tff(14157,plain,
% 24.83/16.58 (~v90(constB75, bitIndex0)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14156, 14148])).
% 24.83/16.58 tff(14158,plain,
% 24.83/16.58 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2)) | v125(constB75))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2)) | v125(constB75))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14159,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2)) | v125(constB75))),
% 24.83/16.58 inference(quant_inst,[status(thm)],[])).
% 24.83/16.58 tff(14160,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2)) | v125(constB75)),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14159, 14158])).
% 24.83/16.58 tff(14161,plain,
% 24.83/16.58 (v125(constB75)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14160, 1661, 14157, 14123, 14092])).
% 24.83/16.58 tff(14162,plain,
% 24.83/16.58 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB75)) | v113(constB75))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB75)) | v113(constB75))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14163,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB75)) | v113(constB75))),
% 24.83/16.58 inference(quant_inst,[status(thm)],[])).
% 24.83/16.58 tff(14164,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB75)) | v113(constB75)),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14163, 14162])).
% 24.83/16.58 tff(14165,plain,
% 24.83/16.58 (v113(constB75)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14164, 1672, 14161])).
% 24.83/16.58 tff(14166,plain,
% 24.83/16.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | v112(constB75) | (~v113(constB75)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | v112(constB75) | (~v113(constB75)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14167,plain,
% 24.83/16.58 ((v26(constB75) | (~v113(constB75)) | v112(constB75)) <=> (v26(constB75) | v112(constB75) | (~v113(constB75)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14168,plain,
% 24.83/16.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | v112(constB75) | (~v113(constB75))))),
% 24.83/16.58 inference(monotonicity,[status(thm)],[14167])).
% 24.83/16.58 tff(14169,plain,
% 24.83/16.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | v112(constB75) | (~v113(constB75)))),
% 24.83/16.58 inference(transitivity,[status(thm)],[14168, 14166])).
% 24.83/16.58 tff(14170,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))),
% 24.83/16.58 inference(quant_inst,[status(thm)],[])).
% 24.83/16.58 tff(14171,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | v112(constB75) | (~v113(constB75))),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14170, 14169])).
% 24.83/16.58 tff(14172,plain,
% 24.83/16.58 (v26(constB75) | v112(constB75)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14171, 1050, 14165])).
% 24.83/16.58 tff(14173,plain,
% 24.83/16.58 (v112(constB75)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14172, 816])).
% 24.83/16.58 tff(14174,plain,
% 24.83/16.58 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB75) | (~v112(constB75)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v112(constB75)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14175,plain,
% 24.83/16.58 (((~v112(constB75)) | v108(constB75)) <=> (v108(constB75) | (~v112(constB75)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14176,plain,
% 24.83/16.58 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB75)) | v108(constB75))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB75) | (~v112(constB75))))),
% 24.83/16.58 inference(monotonicity,[status(thm)],[14175])).
% 24.83/16.58 tff(14177,plain,
% 24.83/16.58 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB75)) | v108(constB75))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v112(constB75)))),
% 24.83/16.58 inference(transitivity,[status(thm)],[14176, 14174])).
% 24.83/16.58 tff(14178,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB75)) | v108(constB75))),
% 24.83/16.58 inference(quant_inst,[status(thm)],[])).
% 24.83/16.58 tff(14179,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v112(constB75))),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14178, 14177])).
% 24.83/16.58 tff(14180,plain,
% 24.83/16.58 (v108(constB75)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14179, 1062, 14173])).
% 24.83/16.58 tff(14181,plain,
% 24.83/16.58 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14182,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_75_1')).
% 24.83/16.58 tff(14183,plain,
% 24.83/16.58 (nextState(constB75, constB76)),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14182, 14181])).
% 24.83/16.58 tff(14184,plain,
% 24.83/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14185,plain,
% 24.83/16.58 (((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76)) <=> ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14186,plain,
% 24.83/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75))))),
% 24.83/16.58 inference(monotonicity,[status(thm)],[14185])).
% 24.83/16.58 tff(14187,plain,
% 24.83/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 24.83/16.58 inference(transitivity,[status(thm)],[14186, 14184])).
% 24.83/16.58 tff(14188,plain,
% 24.83/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))),
% 24.83/16.58 inference(quant_inst,[status(thm)],[])).
% 24.83/16.58 tff(14189,plain,
% 24.83/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75))),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14188, 14187])).
% 24.83/16.58 tff(14190,plain,
% 24.83/16.58 (v110(constB76) | (~v108(constB75))),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14189, 1082, 14183])).
% 24.83/16.58 tff(14191,plain,
% 24.83/16.58 (v110(constB76)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14190, 14180])).
% 24.83/16.58 tff(14192,plain,
% 24.83/16.58 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14193,plain,
% 24.83/16.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))),
% 24.83/16.58 inference(quant_inst,[status(thm)],[])).
% 24.83/16.58 tff(14194,plain,
% 24.83/16.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76))),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14193, 14192])).
% 24.83/16.58 tff(14195,plain,
% 24.83/16.58 (~v104(constB76)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14194, 1100, 14183, 14068])).
% 24.83/16.58 tff(14196,plain,
% 24.83/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14197,plain,
% 24.83/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))),
% 24.83/16.58 inference(quant_inst,[status(thm)],[])).
% 24.83/16.58 tff(14198,plain,
% 24.83/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v102(constB76) | v104(constB76)),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14197, 14196])).
% 24.83/16.58 tff(14199,plain,
% 24.83/16.58 (v102(constB76) | v104(constB76)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14198, 1114, 14183])).
% 24.83/16.58 tff(14200,plain,
% 24.83/16.58 (v102(constB76)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14199, 14195])).
% 24.83/16.58 tff(14201,plain,
% 24.83/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14202,plain,
% 24.83/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))),
% 24.83/16.58 inference(quant_inst,[status(thm)],[])).
% 24.83/16.58 tff(14203,plain,
% 24.83/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76))),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14202, 14201])).
% 24.83/16.58 tff(14204,plain,
% 24.83/16.58 (v101(constB76) | (~v102(constB76))),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14203, 1129, 14183, 317])).
% 24.83/16.58 tff(14205,plain,
% 24.83/16.58 (v101(constB76)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14204, 14200])).
% 24.83/16.58 tff(14206,plain,
% 24.83/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14207,plain,
% 24.83/16.58 (((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76)) <=> ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14208,plain,
% 24.83/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76))))),
% 24.83/16.58 inference(monotonicity,[status(thm)],[14207])).
% 24.83/16.58 tff(14209,plain,
% 24.83/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 24.83/16.58 inference(transitivity,[status(thm)],[14208, 14206])).
% 24.83/16.58 tff(14210,plain,
% 24.83/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))),
% 24.83/16.58 inference(quant_inst,[status(thm)],[])).
% 24.83/16.58 tff(14211,plain,
% 24.83/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14210, 14209])).
% 24.83/16.58 tff(14212,plain,
% 24.83/16.58 (v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14211, 1144, 14183])).
% 24.83/16.58 tff(14213,plain,
% 24.83/16.58 (v100(constB76) | (~v110(constB76))),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14212, 14205])).
% 24.83/16.58 tff(14214,plain,
% 24.83/16.58 (v100(constB76)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14213, 14191])).
% 24.83/16.58 tff(14215,assumption,(v127(constB75, bitIndex2)), introduced(assumption)).
% 24.83/16.58 tff(14216,plain,
% 24.83/16.58 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB75)) | (~v90(constB75, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB75)) | (~v90(constB75, bitIndex2)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14217,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB75)) | (~v90(constB75, bitIndex2)))),
% 24.83/16.58 inference(quant_inst,[status(thm)],[])).
% 24.83/16.58 tff(14218,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB75)) | (~v90(constB75, bitIndex2))),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14217, 14216])).
% 24.83/16.58 tff(14219,plain,
% 24.83/16.58 (~v121(constB75)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14218, 1729, 14092])).
% 24.83/16.58 tff(14220,plain,
% 24.83/16.58 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB75)) | (~v90(constB75, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB75)) | (~v90(constB75, bitIndex2)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14221,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB75)) | (~v90(constB75, bitIndex2)))),
% 24.83/16.58 inference(quant_inst,[status(thm)],[])).
% 24.83/16.58 tff(14222,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB75)) | (~v90(constB75, bitIndex2))),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14221, 14220])).
% 24.83/16.58 tff(14223,plain,
% 24.83/16.58 (~v122(constB75)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14222, 1740, 14092])).
% 24.83/16.58 tff(14224,plain,
% 24.83/16.58 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB75)) | (~v90(constB75, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB75)) | (~v90(constB75, bitIndex1)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14225,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB75)) | (~v90(constB75, bitIndex1)))),
% 24.83/16.58 inference(quant_inst,[status(thm)],[])).
% 24.83/16.58 tff(14226,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB75)) | (~v90(constB75, bitIndex1))),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14225, 14224])).
% 24.83/16.58 tff(14227,plain,
% 24.83/16.58 (~v119(constB75)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14226, 1751, 14123])).
% 24.83/16.58 tff(14228,plain,
% 24.83/16.58 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB75)) | (~v90(constB75, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB75)) | (~v90(constB75, bitIndex1)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14229,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB75)) | (~v90(constB75, bitIndex1)))),
% 24.83/16.58 inference(quant_inst,[status(thm)],[])).
% 24.83/16.58 tff(14230,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB75)) | (~v90(constB75, bitIndex1))),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14229, 14228])).
% 24.83/16.58 tff(14231,plain,
% 24.83/16.58 (~v120(constB75)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14230, 1762, 14123])).
% 24.83/16.58 tff(14232,plain,
% 24.83/16.58 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB75)) | (~v90(constB75, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB75)) | (~v90(constB75, bitIndex1)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14233,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB75)) | (~v90(constB75, bitIndex1)))),
% 24.83/16.58 inference(quant_inst,[status(thm)],[])).
% 24.83/16.58 tff(14234,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB75)) | (~v90(constB75, bitIndex1))),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14233, 14232])).
% 24.83/16.58 tff(14235,plain,
% 24.83/16.58 (~v123(constB75)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14234, 1773, 14123])).
% 24.83/16.58 tff(14236,plain,
% 24.83/16.58 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB75)) | (~v90(constB75, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB75)) | (~v90(constB75, bitIndex1)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14237,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB75)) | (~v90(constB75, bitIndex1)))),
% 24.83/16.58 inference(quant_inst,[status(thm)],[])).
% 24.83/16.58 tff(14238,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB75)) | (~v90(constB75, bitIndex1))),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14237, 14236])).
% 24.83/16.58 tff(14239,plain,
% 24.83/16.58 (~v124(constB75)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14238, 1784, 14123])).
% 24.83/16.58 tff(14240,plain,
% 24.83/16.58 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex2)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14241,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex2)))),
% 24.83/16.58 inference(quant_inst,[status(thm)],[])).
% 24.83/16.58 tff(14242,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex2))),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14241, 14240])).
% 24.83/16.58 tff(14243,plain,
% 24.83/16.58 (~v130(constB75, bitIndex2)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14242, 1798, 14239, 14235, 14231, 14227, 14223, 14219])).
% 24.83/16.58 tff(14244,plain,
% 24.83/16.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14245,plain,
% 24.83/16.58 ((v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2))) <=> ((~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14246,plain,
% 24.83/16.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2)))),
% 24.83/16.58 inference(monotonicity,[status(thm)],[14245])).
% 24.83/16.58 tff(14247,plain,
% 24.83/16.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))),
% 24.83/16.58 inference(transitivity,[status(thm)],[14246, 14244])).
% 24.83/16.58 tff(14248,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2)))),
% 24.83/16.58 inference(quant_inst,[status(thm)],[])).
% 24.83/16.58 tff(14249,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2)),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14248, 14247])).
% 24.83/16.58 tff(14250,plain,
% 24.83/16.58 ((~v127(constB75, bitIndex2)) | v26(constB75)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14249, 1812, 14243])).
% 24.83/16.58 tff(14251,plain,
% 24.83/16.58 (v26(constB75)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14250, 14215])).
% 24.83/16.58 tff(14252,plain,
% 24.83/16.58 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB75)) | (~v127(constB75, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB75)) | (~v127(constB75, bitIndex2)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14253,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB75)) | (~v127(constB75, bitIndex2)))),
% 24.83/16.58 inference(quant_inst,[status(thm)],[])).
% 24.83/16.58 tff(14254,plain,
% 24.83/16.58 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB75)) | (~v127(constB75, bitIndex2))),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14253, 14252])).
% 24.83/16.58 tff(14255,plain,
% 24.83/16.58 ($false),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14254, 3714, 14215, 14251])).
% 24.83/16.58 tff(14256,plain,(~v127(constB75, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 24.83/16.58 tff(14257,plain,
% 24.83/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.58 tff(14258,plain,
% 24.83/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2)))),
% 24.83/16.58 inference(quant_inst,[status(thm)],[])).
% 24.83/16.58 tff(14259,plain,
% 24.83/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2))),
% 24.83/16.58 inference(modus_ponens,[status(thm)],[14258, 14257])).
% 24.83/16.58 tff(14260,plain,
% 24.83/16.58 (v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2))),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14259, 1830, 14183])).
% 24.83/16.58 tff(14261,plain,
% 24.83/16.58 (~v129(constB76, bitIndex2)),
% 24.83/16.58 inference(unit_resolution,[status(thm)],[14260, 14256])).
% 24.83/16.58 tff(14262,plain,
% 24.83/16.58 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))),
% 24.83/16.58 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14263,plain,
% 24.83/16.59 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))),
% 24.83/16.59 inference(quant_inst,[status(thm)],[])).
% 24.83/16.59 tff(14264,plain,
% 24.83/16.59 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76))),
% 24.83/16.59 inference(modus_ponens,[status(thm)],[14263, 14262])).
% 24.83/16.59 tff(14265,plain,
% 24.83/16.59 ((~v90(constB76, bitIndex2)) | (~v100(constB76))),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14264, 1845, 14261])).
% 24.83/16.59 tff(14266,plain,
% 24.83/16.59 (~v90(constB76, bitIndex2)),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14265, 14214])).
% 24.83/16.59 tff(14267,plain,
% 24.83/16.59 ((~v1(constB77)) <=> (~v1(constB77))),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14268,axiom,(~v1(constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_77_1_1')).
% 24.83/16.59 tff(14269,plain,
% 24.83/16.59 (~v1(constB77)),
% 24.83/16.59 inference(modus_ponens,[status(thm)],[14268, 14267])).
% 24.83/16.59 tff(14270,plain,
% 24.83/16.59 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14271,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_76_1')).
% 24.83/16.59 tff(14272,plain,
% 24.83/16.59 (nextState(constB76, constB77)),
% 24.83/16.59 inference(modus_ponens,[status(thm)],[14271, 14270])).
% 24.83/16.59 tff(14273,plain,
% 24.83/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14274,plain,
% 24.83/16.59 (((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77)) <=> (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14275,plain,
% 24.83/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77))))),
% 24.83/16.59 inference(monotonicity,[status(thm)],[14274])).
% 24.83/16.59 tff(14276,plain,
% 24.83/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 24.83/16.59 inference(transitivity,[status(thm)],[14275, 14273])).
% 24.83/16.59 tff(14277,plain,
% 24.83/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))),
% 24.83/16.59 inference(quant_inst,[status(thm)],[])).
% 24.83/16.59 tff(14278,plain,
% 24.83/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77))),
% 24.83/16.59 inference(modus_ponens,[status(thm)],[14277, 14276])).
% 24.83/16.59 tff(14279,plain,
% 24.83/16.59 (~v101(constB77)),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14278, 860, 14272, 14269])).
% 24.83/16.59 tff(14280,plain,
% 24.83/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14281,plain,
% 24.83/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))),
% 24.83/16.59 inference(quant_inst,[status(thm)],[])).
% 24.83/16.59 tff(14282,plain,
% 24.83/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77))),
% 24.83/16.59 inference(modus_ponens,[status(thm)],[14281, 14280])).
% 24.83/16.59 tff(14283,plain,
% 24.83/16.59 (v101(constB77) | (~v100(constB77))),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14282, 877, 14272])).
% 24.83/16.59 tff(14284,plain,
% 24.83/16.59 (~v100(constB77)),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14283, 14279])).
% 24.83/16.59 tff(14285,plain,
% 24.83/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14286,plain,
% 24.83/16.59 (((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2))) <=> (v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14287,plain,
% 24.83/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2))))),
% 24.83/16.59 inference(monotonicity,[status(thm)],[14286])).
% 24.83/16.59 tff(14288,plain,
% 24.83/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 24.83/16.59 inference(transitivity,[status(thm)],[14287, 14285])).
% 24.83/16.59 tff(14289,plain,
% 24.83/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 24.83/16.59 inference(quant_inst,[status(thm)],[])).
% 24.83/16.59 tff(14290,plain,
% 24.83/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2))),
% 24.83/16.59 inference(modus_ponens,[status(thm)],[14289, 14288])).
% 24.83/16.59 tff(14291,plain,
% 24.83/16.59 (v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2))),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14290, 892, 14272])).
% 24.83/16.59 tff(14292,plain,
% 24.83/16.59 (v90(constB76, bitIndex2) | (~v90(constB77, bitIndex2))),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14291, 14284])).
% 24.83/16.59 tff(14293,plain,
% 24.83/16.59 (~v90(constB77, bitIndex2)),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14292, 14266])).
% 24.83/16.59 tff(14294,plain,
% 24.83/16.59 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex1)))),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14295,plain,
% 24.83/16.59 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex1)))),
% 24.83/16.59 inference(quant_inst,[status(thm)],[])).
% 24.83/16.59 tff(14296,plain,
% 24.83/16.59 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex1))),
% 24.83/16.59 inference(modus_ponens,[status(thm)],[14295, 14294])).
% 24.83/16.59 tff(14297,plain,
% 24.83/16.59 (~v130(constB75, bitIndex1)),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14296, 1887, 14239, 14235, 14231, 14227, 14223, 14219])).
% 24.83/16.59 tff(14298,plain,
% 24.83/16.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB75, bitIndex1)) | v26(constB75) | v130(constB75, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB75, bitIndex1)) | v26(constB75) | v130(constB75, bitIndex1))),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14299,plain,
% 24.83/16.59 ((v26(constB75) | v130(constB75, bitIndex1) | (~v127(constB75, bitIndex1))) <=> ((~v127(constB75, bitIndex1)) | v26(constB75) | v130(constB75, bitIndex1))),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14300,plain,
% 24.83/16.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB75) | v130(constB75, bitIndex1) | (~v127(constB75, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB75, bitIndex1)) | v26(constB75) | v130(constB75, bitIndex1)))),
% 24.83/16.59 inference(monotonicity,[status(thm)],[14299])).
% 24.83/16.59 tff(14301,plain,
% 24.83/16.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB75) | v130(constB75, bitIndex1) | (~v127(constB75, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB75, bitIndex1)) | v26(constB75) | v130(constB75, bitIndex1))),
% 24.83/16.59 inference(transitivity,[status(thm)],[14300, 14298])).
% 24.83/16.59 tff(14302,plain,
% 24.83/16.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB75) | v130(constB75, bitIndex1) | (~v127(constB75, bitIndex1)))),
% 24.83/16.59 inference(quant_inst,[status(thm)],[])).
% 24.83/16.59 tff(14303,plain,
% 24.83/16.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB75, bitIndex1)) | v26(constB75) | v130(constB75, bitIndex1)),
% 24.83/16.59 inference(modus_ponens,[status(thm)],[14302, 14301])).
% 24.83/16.59 tff(14304,plain,
% 24.83/16.59 ((~v127(constB75, bitIndex1)) | v26(constB75)),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14303, 1270, 14297])).
% 24.83/16.59 tff(14305,plain,
% 24.83/16.59 (~v127(constB75, bitIndex1)),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14304, 816])).
% 24.83/16.59 tff(14306,plain,
% 24.83/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex1) | (~v129(constB76, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex1) | (~v129(constB76, bitIndex1)))),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14307,plain,
% 24.83/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex1) | (~v129(constB76, bitIndex1)))),
% 24.83/16.59 inference(quant_inst,[status(thm)],[])).
% 24.83/16.59 tff(14308,plain,
% 24.83/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex1) | (~v129(constB76, bitIndex1))),
% 24.83/16.59 inference(modus_ponens,[status(thm)],[14307, 14306])).
% 24.83/16.59 tff(14309,plain,
% 24.83/16.59 (v127(constB75, bitIndex1) | (~v129(constB76, bitIndex1))),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14308, 1288, 14183])).
% 24.83/16.59 tff(14310,plain,
% 24.83/16.59 (~v129(constB76, bitIndex1)),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14309, 14305])).
% 24.83/16.59 tff(14311,plain,
% 24.83/16.59 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | v129(constB76, bitIndex1) | (~v100(constB76)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | v129(constB76, bitIndex1) | (~v100(constB76)))),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14312,plain,
% 24.83/16.59 (((~v90(constB76, bitIndex1)) | (~v100(constB76)) | v129(constB76, bitIndex1)) <=> ((~v90(constB76, bitIndex1)) | v129(constB76, bitIndex1) | (~v100(constB76)))),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14313,plain,
% 24.83/16.59 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | (~v100(constB76)) | v129(constB76, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | v129(constB76, bitIndex1) | (~v100(constB76))))),
% 24.83/16.59 inference(monotonicity,[status(thm)],[14312])).
% 24.83/16.59 tff(14314,plain,
% 24.83/16.59 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | (~v100(constB76)) | v129(constB76, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | v129(constB76, bitIndex1) | (~v100(constB76)))),
% 24.83/16.59 inference(transitivity,[status(thm)],[14313, 14311])).
% 24.83/16.59 tff(14315,plain,
% 24.83/16.59 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | (~v100(constB76)) | v129(constB76, bitIndex1))),
% 24.83/16.59 inference(quant_inst,[status(thm)],[])).
% 24.83/16.59 tff(14316,plain,
% 24.83/16.59 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | v129(constB76, bitIndex1) | (~v100(constB76))),
% 24.83/16.59 inference(modus_ponens,[status(thm)],[14315, 14314])).
% 24.83/16.59 tff(14317,plain,
% 24.83/16.59 ((~v90(constB76, bitIndex1)) | (~v100(constB76))),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14316, 1303, 14310])).
% 24.83/16.59 tff(14318,plain,
% 24.83/16.59 (~v90(constB76, bitIndex1)),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14317, 14214])).
% 24.83/16.59 tff(14319,plain,
% 24.83/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex1)))),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14320,plain,
% 24.83/16.59 (((~nextState(constB76, constB77)) | v90(constB76, bitIndex1) | v100(constB77) | (~v90(constB77, bitIndex1))) <=> (v90(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex1)))),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14321,plain,
% 24.83/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex1) | v100(constB77) | (~v90(constB77, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex1))))),
% 24.83/16.59 inference(monotonicity,[status(thm)],[14320])).
% 24.83/16.59 tff(14322,plain,
% 24.83/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex1) | v100(constB77) | (~v90(constB77, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex1)))),
% 24.83/16.59 inference(transitivity,[status(thm)],[14321, 14319])).
% 24.83/16.59 tff(14323,plain,
% 24.83/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex1) | v100(constB77) | (~v90(constB77, bitIndex1)))),
% 24.83/16.59 inference(quant_inst,[status(thm)],[])).
% 24.83/16.59 tff(14324,plain,
% 24.83/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex1))),
% 24.83/16.59 inference(modus_ponens,[status(thm)],[14323, 14322])).
% 24.83/16.59 tff(14325,plain,
% 24.83/16.59 (v90(constB76, bitIndex1) | v100(constB77) | (~v90(constB77, bitIndex1))),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14324, 913, 14272])).
% 24.83/16.59 tff(14326,plain,
% 24.83/16.59 (v90(constB76, bitIndex1) | (~v90(constB77, bitIndex1))),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14325, 14284])).
% 24.83/16.59 tff(14327,plain,
% 24.83/16.59 (~v90(constB77, bitIndex1)),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14326, 14318])).
% 24.83/16.59 tff(14328,plain,
% 24.83/16.59 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | v130(constB75, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | v130(constB75, bitIndex0))),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14329,plain,
% 24.83/16.59 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | v130(constB75, bitIndex0))),
% 24.83/16.59 inference(quant_inst,[status(thm)],[])).
% 24.83/16.59 tff(14330,plain,
% 24.83/16.59 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | v130(constB75, bitIndex0)),
% 24.83/16.59 inference(modus_ponens,[status(thm)],[14329, 14328])).
% 24.83/16.59 tff(14331,plain,
% 24.83/16.59 (v130(constB75, bitIndex0)),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14330, 1931, 14239, 14235, 14231, 14227, 14223, 14219])).
% 24.83/16.59 tff(14332,plain,
% 24.83/16.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB75) | (~v130(constB75, bitIndex0)) | v127(constB75, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB75) | (~v130(constB75, bitIndex0)) | v127(constB75, bitIndex0))),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14333,plain,
% 24.83/16.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB75) | (~v130(constB75, bitIndex0)) | v127(constB75, bitIndex0))),
% 24.83/16.59 inference(quant_inst,[status(thm)],[])).
% 24.83/16.59 tff(14334,plain,
% 24.83/16.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB75) | (~v130(constB75, bitIndex0)) | v127(constB75, bitIndex0)),
% 24.83/16.59 inference(modus_ponens,[status(thm)],[14333, 14332])).
% 24.83/16.59 tff(14335,plain,
% 24.83/16.59 (v26(constB75) | v127(constB75, bitIndex0)),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14334, 1945, 14331])).
% 24.83/16.59 tff(14336,plain,
% 24.83/16.59 (v127(constB75, bitIndex0)),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14335, 816])).
% 24.83/16.59 tff(14337,plain,
% 24.83/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB75, constB76)) | (~v127(constB75, bitIndex0)) | v129(constB76, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB75, constB76)) | (~v127(constB75, bitIndex0)) | v129(constB76, bitIndex0))),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14338,plain,
% 24.83/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB75, constB76)) | (~v127(constB75, bitIndex0)) | v129(constB76, bitIndex0))),
% 24.83/16.59 inference(quant_inst,[status(thm)],[])).
% 24.83/16.59 tff(14339,plain,
% 24.83/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB75, constB76)) | (~v127(constB75, bitIndex0)) | v129(constB76, bitIndex0)),
% 24.83/16.59 inference(modus_ponens,[status(thm)],[14338, 14337])).
% 24.83/16.59 tff(14340,plain,
% 24.83/16.59 ((~v127(constB75, bitIndex0)) | v129(constB76, bitIndex0)),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14339, 1960, 14183])).
% 24.83/16.59 tff(14341,plain,
% 24.83/16.59 (v129(constB76, bitIndex0)),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14340, 14336])).
% 24.83/16.59 tff(14342,plain,
% 24.83/16.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~v129(constB76, bitIndex0)) | (~v100(constB76)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~v129(constB76, bitIndex0)) | (~v100(constB76)))),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14343,plain,
% 24.83/16.59 ((v90(constB76, bitIndex0) | (~v100(constB76)) | (~v129(constB76, bitIndex0))) <=> (v90(constB76, bitIndex0) | (~v129(constB76, bitIndex0)) | (~v100(constB76)))),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14344,plain,
% 24.83/16.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~v100(constB76)) | (~v129(constB76, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~v129(constB76, bitIndex0)) | (~v100(constB76))))),
% 24.83/16.59 inference(monotonicity,[status(thm)],[14343])).
% 24.83/16.59 tff(14345,plain,
% 24.83/16.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~v100(constB76)) | (~v129(constB76, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~v129(constB76, bitIndex0)) | (~v100(constB76)))),
% 24.83/16.59 inference(transitivity,[status(thm)],[14344, 14342])).
% 24.83/16.59 tff(14346,plain,
% 24.83/16.59 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~v100(constB76)) | (~v129(constB76, bitIndex0)))),
% 24.83/16.59 inference(quant_inst,[status(thm)],[])).
% 24.83/16.59 tff(14347,plain,
% 24.83/16.59 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~v129(constB76, bitIndex0)) | (~v100(constB76))),
% 24.83/16.59 inference(modus_ponens,[status(thm)],[14346, 14345])).
% 24.83/16.59 tff(14348,plain,
% 24.83/16.59 (v90(constB76, bitIndex0) | (~v100(constB76))),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14347, 1975, 14341])).
% 24.83/16.59 tff(14349,plain,
% 24.83/16.59 (v90(constB76, bitIndex0)),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14348, 14214])).
% 24.83/16.59 tff(14350,plain,
% 24.83/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex0))),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14351,plain,
% 24.83/16.59 (((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex0)) | v100(constB77) | v90(constB77, bitIndex0)) <=> ((~v90(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex0))),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14352,plain,
% 24.83/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex0)) | v100(constB77) | v90(constB77, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex0)))),
% 24.83/16.59 inference(monotonicity,[status(thm)],[14351])).
% 24.83/16.59 tff(14353,plain,
% 24.83/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex0)) | v100(constB77) | v90(constB77, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex0))),
% 24.83/16.59 inference(transitivity,[status(thm)],[14352, 14350])).
% 24.83/16.59 tff(14354,plain,
% 24.83/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex0)) | v100(constB77) | v90(constB77, bitIndex0))),
% 24.83/16.59 inference(quant_inst,[status(thm)],[])).
% 24.83/16.59 tff(14355,plain,
% 24.83/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex0)),
% 24.83/16.59 inference(modus_ponens,[status(thm)],[14354, 14353])).
% 24.83/16.59 tff(14356,plain,
% 24.83/16.59 ((~v90(constB76, bitIndex0)) | v100(constB77) | v90(constB77, bitIndex0)),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14355, 1993, 14272])).
% 24.83/16.59 tff(14357,plain,
% 24.83/16.59 ((~v90(constB76, bitIndex0)) | v90(constB77, bitIndex0)),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14356, 14284])).
% 24.83/16.59 tff(14358,plain,
% 24.83/16.59 (v90(constB77, bitIndex0)),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14357, 14349])).
% 24.83/16.59 tff(14359,plain,
% 24.83/16.59 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB77, bitIndex0)) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v120(constB77))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB77, bitIndex0)) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v120(constB77))),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14360,plain,
% 24.83/16.59 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB77, bitIndex0)) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v120(constB77))),
% 24.83/16.59 inference(quant_inst,[status(thm)],[])).
% 24.83/16.59 tff(14361,plain,
% 24.83/16.59 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB77, bitIndex0)) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v120(constB77)),
% 24.83/16.59 inference(modus_ponens,[status(thm)],[14360, 14359])).
% 24.83/16.59 tff(14362,plain,
% 24.83/16.59 (v120(constB77)),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14361, 2012, 14358, 14327, 14293])).
% 24.83/16.59 tff(14363,plain,
% 24.83/16.59 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB77)) | (~v130(constB77, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB77)) | (~v130(constB77, bitIndex2)))),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14364,plain,
% 24.83/16.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB77)) | (~v130(constB77, bitIndex2)))),
% 24.83/16.59 inference(quant_inst,[status(thm)],[])).
% 24.83/16.59 tff(14365,plain,
% 24.83/16.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB77)) | (~v130(constB77, bitIndex2))),
% 24.83/16.59 inference(modus_ponens,[status(thm)],[14364, 14363])).
% 24.83/16.59 tff(14366,plain,
% 24.83/16.59 (~v130(constB77, bitIndex2)),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14365, 2231, 14362])).
% 24.83/16.59 tff(14367,plain,
% 24.83/16.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14368,plain,
% 24.83/16.59 ((v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2))) <=> ((~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))),
% 24.83/16.59 inference(rewrite,[status(thm)],[])).
% 24.83/16.59 tff(14369,plain,
% 24.83/16.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2)))),
% 24.83/16.59 inference(monotonicity,[status(thm)],[14368])).
% 24.83/16.59 tff(14370,plain,
% 24.83/16.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))),
% 24.83/16.59 inference(transitivity,[status(thm)],[14369, 14367])).
% 24.83/16.59 tff(14371,plain,
% 24.83/16.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2)))),
% 24.83/16.59 inference(quant_inst,[status(thm)],[])).
% 24.83/16.59 tff(14372,plain,
% 24.83/16.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2)),
% 24.83/16.59 inference(modus_ponens,[status(thm)],[14371, 14370])).
% 24.83/16.59 tff(14373,plain,
% 24.83/16.59 ((~v127(constB77, bitIndex2)) | v26(constB77)),
% 24.83/16.59 inference(unit_resolution,[status(thm)],[14372, 1812, 14366])).
% 24.83/16.60 tff(14374,plain,
% 24.83/16.60 (~v127(constB77, bitIndex2)),
% 24.83/16.60 inference(unit_resolution,[status(thm)],[14373, 812])).
% 24.83/16.60 tff(14375,plain,
% 24.83/16.60 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14376,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_77_1')).
% 24.83/16.60 tff(14377,plain,
% 24.83/16.60 (nextState(constB77, constB78)),
% 24.83/16.60 inference(modus_ponens,[status(thm)],[14376, 14375])).
% 24.83/16.60 tff(14378,plain,
% 24.83/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14379,plain,
% 24.83/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2)))),
% 24.83/16.60 inference(quant_inst,[status(thm)],[])).
% 24.83/16.60 tff(14380,plain,
% 24.83/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2))),
% 24.83/16.60 inference(modus_ponens,[status(thm)],[14379, 14378])).
% 24.83/16.60 tff(14381,plain,
% 24.83/16.60 (v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2))),
% 24.83/16.60 inference(unit_resolution,[status(thm)],[14380, 1830, 14377])).
% 24.83/16.60 tff(14382,plain,
% 24.83/16.60 (~v129(constB78, bitIndex2)),
% 24.83/16.60 inference(unit_resolution,[status(thm)],[14381, 14374])).
% 24.83/16.60 tff(14383,assumption,(~v100(constB78)), introduced(assumption)).
% 24.83/16.60 tff(14384,plain,
% 24.83/16.60 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14385,plain,
% 24.83/16.60 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))),
% 24.83/16.60 inference(quant_inst,[status(thm)],[])).
% 24.83/16.60 tff(14386,plain,
% 24.83/16.60 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78))),
% 24.83/16.60 inference(modus_ponens,[status(thm)],[14385, 14384])).
% 24.83/16.60 tff(14387,plain,
% 24.83/16.60 (~v104(constB78)),
% 24.83/16.60 inference(unit_resolution,[status(thm)],[14386, 1100, 14377, 14269])).
% 24.83/16.60 tff(14388,plain,
% 24.83/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14389,plain,
% 24.83/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))),
% 24.83/16.60 inference(quant_inst,[status(thm)],[])).
% 24.83/16.60 tff(14390,plain,
% 24.83/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v102(constB78) | v104(constB78)),
% 24.83/16.60 inference(modus_ponens,[status(thm)],[14389, 14388])).
% 24.83/16.60 tff(14391,plain,
% 24.83/16.60 (v102(constB78) | v104(constB78)),
% 24.83/16.60 inference(unit_resolution,[status(thm)],[14390, 1114, 14377])).
% 24.83/16.60 tff(14392,plain,
% 24.83/16.60 (v102(constB78)),
% 24.83/16.60 inference(unit_resolution,[status(thm)],[14391, 14387])).
% 24.83/16.60 tff(14393,plain,
% 24.83/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14394,plain,
% 24.83/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))),
% 24.83/16.60 inference(quant_inst,[status(thm)],[])).
% 24.83/16.60 tff(14395,plain,
% 24.83/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78))),
% 24.83/16.60 inference(modus_ponens,[status(thm)],[14394, 14393])).
% 24.83/16.60 tff(14396,plain,
% 24.83/16.60 (v101(constB78) | (~v102(constB78))),
% 24.83/16.60 inference(unit_resolution,[status(thm)],[14395, 1129, 14377, 746])).
% 24.83/16.60 tff(14397,plain,
% 24.83/16.60 (v101(constB78)),
% 24.83/16.60 inference(unit_resolution,[status(thm)],[14396, 14392])).
% 24.83/16.60 tff(14398,plain,
% 24.83/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14399,plain,
% 24.83/16.60 (((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78)) <=> ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14400,plain,
% 24.83/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78))))),
% 24.83/16.60 inference(monotonicity,[status(thm)],[14399])).
% 24.83/16.60 tff(14401,plain,
% 24.83/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 24.83/16.60 inference(transitivity,[status(thm)],[14400, 14398])).
% 24.83/16.60 tff(14402,plain,
% 24.83/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))),
% 24.83/16.60 inference(quant_inst,[status(thm)],[])).
% 24.83/16.60 tff(14403,plain,
% 24.83/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 24.83/16.60 inference(modus_ponens,[status(thm)],[14402, 14401])).
% 24.83/16.60 tff(14404,plain,
% 24.83/16.60 (v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 24.83/16.60 inference(unit_resolution,[status(thm)],[14403, 1144, 14377])).
% 24.83/16.60 tff(14405,plain,
% 24.83/16.60 (v100(constB78) | (~v110(constB78))),
% 24.83/16.60 inference(unit_resolution,[status(thm)],[14404, 14397])).
% 24.83/16.60 tff(14406,plain,
% 24.83/16.60 (~v110(constB78)),
% 24.83/16.60 inference(unit_resolution,[status(thm)],[14405, 14383])).
% 24.83/16.60 tff(14407,plain,
% 24.83/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14408,plain,
% 24.83/16.60 (((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78)) <=> ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14409,plain,
% 24.83/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77))))),
% 24.83/16.60 inference(monotonicity,[status(thm)],[14408])).
% 24.83/16.60 tff(14410,plain,
% 24.83/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 24.83/16.60 inference(transitivity,[status(thm)],[14409, 14407])).
% 24.83/16.60 tff(14411,plain,
% 24.83/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))),
% 24.83/16.60 inference(quant_inst,[status(thm)],[])).
% 24.83/16.60 tff(14412,plain,
% 24.83/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77))),
% 24.83/16.60 inference(modus_ponens,[status(thm)],[14411, 14410])).
% 24.83/16.60 tff(14413,plain,
% 24.83/16.60 (v110(constB78) | (~v108(constB77))),
% 24.83/16.60 inference(unit_resolution,[status(thm)],[14412, 1082, 14377])).
% 24.83/16.60 tff(14414,plain,
% 24.83/16.60 (~v108(constB77)),
% 24.83/16.60 inference(unit_resolution,[status(thm)],[14413, 14406])).
% 24.83/16.60 tff(14415,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB77) | (~v112(constB77)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v112(constB77)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14416,plain,
% 24.83/16.60 (((~v112(constB77)) | v108(constB77)) <=> (v108(constB77) | (~v112(constB77)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14417,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB77)) | v108(constB77))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB77) | (~v112(constB77))))),
% 24.83/16.60 inference(monotonicity,[status(thm)],[14416])).
% 24.83/16.60 tff(14418,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB77)) | v108(constB77))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v112(constB77)))),
% 24.83/16.60 inference(transitivity,[status(thm)],[14417, 14415])).
% 24.83/16.60 tff(14419,plain,
% 24.83/16.60 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB77)) | v108(constB77))),
% 24.83/16.60 inference(quant_inst,[status(thm)],[])).
% 24.83/16.60 tff(14420,plain,
% 24.83/16.60 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v112(constB77))),
% 24.83/16.60 inference(modus_ponens,[status(thm)],[14419, 14418])).
% 24.83/16.60 tff(14421,plain,
% 24.83/16.60 (~v112(constB77)),
% 24.83/16.60 inference(unit_resolution,[status(thm)],[14420, 1062, 14414])).
% 24.83/16.60 tff(14422,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB77) | (~v26(constB77)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v26(constB77)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14423,plain,
% 24.83/16.60 (((~v26(constB77)) | v108(constB77)) <=> (v108(constB77) | (~v26(constB77)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14424,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB77)) | v108(constB77))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB77) | (~v26(constB77))))),
% 24.83/16.60 inference(monotonicity,[status(thm)],[14423])).
% 24.83/16.60 tff(14425,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB77)) | v108(constB77))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v26(constB77)))),
% 24.83/16.60 inference(transitivity,[status(thm)],[14424, 14422])).
% 24.83/16.60 tff(14426,plain,
% 24.83/16.60 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB77)) | v108(constB77))),
% 24.83/16.60 inference(quant_inst,[status(thm)],[])).
% 24.83/16.60 tff(14427,plain,
% 24.83/16.60 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v26(constB77))),
% 24.83/16.60 inference(modus_ponens,[status(thm)],[14426, 14425])).
% 24.83/16.60 tff(14428,plain,
% 24.83/16.60 (~v26(constB77)),
% 24.83/16.60 inference(unit_resolution,[status(thm)],[14427, 2441, 14414])).
% 24.83/16.60 tff(14429,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | v112(constB77) | (~v113(constB77)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | v112(constB77) | (~v113(constB77)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14430,plain,
% 24.83/16.60 ((v26(constB77) | (~v113(constB77)) | v112(constB77)) <=> (v26(constB77) | v112(constB77) | (~v113(constB77)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14431,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | v112(constB77) | (~v113(constB77))))),
% 24.83/16.60 inference(monotonicity,[status(thm)],[14430])).
% 24.83/16.60 tff(14432,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | v112(constB77) | (~v113(constB77)))),
% 24.83/16.60 inference(transitivity,[status(thm)],[14431, 14429])).
% 24.83/16.60 tff(14433,plain,
% 24.83/16.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))),
% 24.83/16.60 inference(quant_inst,[status(thm)],[])).
% 24.83/16.60 tff(14434,plain,
% 24.83/16.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | v112(constB77) | (~v113(constB77))),
% 24.83/16.60 inference(modus_ponens,[status(thm)],[14433, 14432])).
% 24.83/16.60 tff(14435,plain,
% 24.83/16.60 (~v113(constB77)),
% 24.83/16.60 inference(unit_resolution,[status(thm)],[14434, 1050, 14428, 14421])).
% 24.83/16.60 tff(14436,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB77) | (~v114(constB77)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB77) | (~v114(constB77)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14437,plain,
% 24.83/16.60 (((~v114(constB77)) | v113(constB77)) <=> (v113(constB77) | (~v114(constB77)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14438,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB77)) | v113(constB77))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB77) | (~v114(constB77))))),
% 24.83/16.60 inference(monotonicity,[status(thm)],[14437])).
% 24.83/16.60 tff(14439,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB77)) | v113(constB77))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB77) | (~v114(constB77)))),
% 24.83/16.60 inference(transitivity,[status(thm)],[14438, 14436])).
% 24.83/16.60 tff(14440,plain,
% 24.83/16.60 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB77)) | v113(constB77))),
% 24.83/16.60 inference(quant_inst,[status(thm)],[])).
% 24.83/16.60 tff(14441,plain,
% 24.83/16.60 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB77) | (~v114(constB77))),
% 24.83/16.60 inference(modus_ponens,[status(thm)],[14440, 14439])).
% 24.83/16.60 tff(14442,plain,
% 24.83/16.60 (~v114(constB77)),
% 24.83/16.60 inference(unit_resolution,[status(thm)],[14441, 1036, 14435])).
% 24.83/16.60 tff(14443,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB77) | (~v115(constB77)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB77) | (~v115(constB77)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14444,plain,
% 24.83/16.60 (((~v115(constB77)) | v114(constB77)) <=> (v114(constB77) | (~v115(constB77)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14445,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB77)) | v114(constB77))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB77) | (~v115(constB77))))),
% 24.83/16.60 inference(monotonicity,[status(thm)],[14444])).
% 24.83/16.60 tff(14446,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB77)) | v114(constB77))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB77) | (~v115(constB77)))),
% 24.83/16.60 inference(transitivity,[status(thm)],[14445, 14443])).
% 24.83/16.60 tff(14447,plain,
% 24.83/16.60 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB77)) | v114(constB77))),
% 24.83/16.60 inference(quant_inst,[status(thm)],[])).
% 24.83/16.60 tff(14448,plain,
% 24.83/16.60 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB77) | (~v115(constB77))),
% 24.83/16.60 inference(modus_ponens,[status(thm)],[14447, 14446])).
% 24.83/16.60 tff(14449,plain,
% 24.83/16.60 (~v115(constB77)),
% 24.83/16.60 inference(unit_resolution,[status(thm)],[14448, 1022, 14442])).
% 24.83/16.60 tff(14450,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB77) | (~v116(constB77)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB77) | (~v116(constB77)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14451,plain,
% 24.83/16.60 (((~v116(constB77)) | v115(constB77)) <=> (v115(constB77) | (~v116(constB77)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14452,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB77)) | v115(constB77))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB77) | (~v116(constB77))))),
% 24.83/16.60 inference(monotonicity,[status(thm)],[14451])).
% 24.83/16.60 tff(14453,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB77)) | v115(constB77))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB77) | (~v116(constB77)))),
% 24.83/16.60 inference(transitivity,[status(thm)],[14452, 14450])).
% 24.83/16.60 tff(14454,plain,
% 24.83/16.60 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB77)) | v115(constB77))),
% 24.83/16.60 inference(quant_inst,[status(thm)],[])).
% 24.83/16.60 tff(14455,plain,
% 24.83/16.60 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB77) | (~v116(constB77))),
% 24.83/16.60 inference(modus_ponens,[status(thm)],[14454, 14453])).
% 24.83/16.60 tff(14456,plain,
% 24.83/16.60 (~v116(constB77)),
% 24.83/16.60 inference(unit_resolution,[status(thm)],[14455, 1008, 14449])).
% 24.83/16.60 tff(14457,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB77) | (~v117(constB77)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v117(constB77)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14458,plain,
% 24.83/16.60 (((~v117(constB77)) | v116(constB77)) <=> (v116(constB77) | (~v117(constB77)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14459,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB77)) | v116(constB77))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB77) | (~v117(constB77))))),
% 24.83/16.60 inference(monotonicity,[status(thm)],[14458])).
% 24.83/16.60 tff(14460,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB77)) | v116(constB77))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v117(constB77)))),
% 24.83/16.60 inference(transitivity,[status(thm)],[14459, 14457])).
% 24.83/16.60 tff(14461,plain,
% 24.83/16.60 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB77)) | v116(constB77))),
% 24.83/16.60 inference(quant_inst,[status(thm)],[])).
% 24.83/16.60 tff(14462,plain,
% 24.83/16.60 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v117(constB77))),
% 24.83/16.60 inference(modus_ponens,[status(thm)],[14461, 14460])).
% 24.83/16.60 tff(14463,plain,
% 24.83/16.60 (~v117(constB77)),
% 24.83/16.60 inference(unit_resolution,[status(thm)],[14462, 994, 14456])).
% 24.83/16.60 tff(14464,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB77) | (~v118(constB77)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB77) | (~v118(constB77)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14465,plain,
% 24.83/16.60 (((~v118(constB77)) | v117(constB77)) <=> (v117(constB77) | (~v118(constB77)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14466,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB77)) | v117(constB77))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB77) | (~v118(constB77))))),
% 24.83/16.60 inference(monotonicity,[status(thm)],[14465])).
% 24.83/16.60 tff(14467,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB77)) | v117(constB77))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB77) | (~v118(constB77)))),
% 24.83/16.60 inference(transitivity,[status(thm)],[14466, 14464])).
% 24.83/16.60 tff(14468,plain,
% 24.83/16.60 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB77)) | v117(constB77))),
% 24.83/16.60 inference(quant_inst,[status(thm)],[])).
% 24.83/16.60 tff(14469,plain,
% 24.83/16.60 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB77) | (~v118(constB77))),
% 24.83/16.60 inference(modus_ponens,[status(thm)],[14468, 14467])).
% 24.83/16.60 tff(14470,plain,
% 24.83/16.60 (~v118(constB77)),
% 24.83/16.60 inference(unit_resolution,[status(thm)],[14469, 980, 14463])).
% 24.83/16.60 tff(14471,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB77) | (~v120(constB77)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB77) | (~v120(constB77)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14472,plain,
% 24.83/16.60 (((~v120(constB77)) | v118(constB77)) <=> (v118(constB77) | (~v120(constB77)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.83/16.60 tff(14473,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB77)) | v118(constB77))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB77) | (~v120(constB77))))),
% 24.83/16.60 inference(monotonicity,[status(thm)],[14472])).
% 24.83/16.60 tff(14474,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB77)) | v118(constB77))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB77) | (~v120(constB77)))),
% 24.83/16.60 inference(transitivity,[status(thm)],[14473, 14471])).
% 24.83/16.60 tff(14475,plain,
% 24.83/16.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB77)) | v118(constB77))),
% 24.83/16.60 inference(quant_inst,[status(thm)],[])).
% 24.83/16.60 tff(14476,plain,
% 24.83/16.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB77) | (~v120(constB77))),
% 24.83/16.60 inference(modus_ponens,[status(thm)],[14475, 14474])).
% 24.83/16.60 tff(14477,plain,
% 24.83/16.60 (~v120(constB77)),
% 24.83/16.60 inference(unit_resolution,[status(thm)],[14476, 2210, 14470])).
% 24.83/16.60 tff(14478,plain,
% 24.83/16.60 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB77) | (~v119(constB77)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB77) | (~v119(constB77)))),
% 24.83/16.60 inference(rewrite,[status(thm)],[])).
% 24.89/16.60 tff(14479,plain,
% 24.89/16.60 (((~v119(constB77)) | v118(constB77)) <=> (v118(constB77) | (~v119(constB77)))),
% 24.89/16.60 inference(rewrite,[status(thm)],[])).
% 24.89/16.60 tff(14480,plain,
% 24.89/16.60 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB77)) | v118(constB77))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB77) | (~v119(constB77))))),
% 24.89/16.60 inference(monotonicity,[status(thm)],[14479])).
% 24.89/16.60 tff(14481,plain,
% 24.89/16.60 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB77)) | v118(constB77))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB77) | (~v119(constB77)))),
% 24.89/16.60 inference(transitivity,[status(thm)],[14480, 14478])).
% 24.89/16.60 tff(14482,plain,
% 24.89/16.60 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB77)) | v118(constB77))),
% 24.89/16.60 inference(quant_inst,[status(thm)],[])).
% 24.89/16.60 tff(14483,plain,
% 24.89/16.60 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB77) | (~v119(constB77))),
% 24.89/16.60 inference(modus_ponens,[status(thm)],[14482, 14481])).
% 24.89/16.60 tff(14484,plain,
% 24.89/16.60 (~v119(constB77)),
% 24.89/16.60 inference(unit_resolution,[status(thm)],[14483, 969, 14470])).
% 24.89/16.60 tff(14485,plain,
% 24.89/16.60 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB77) | (~v122(constB77)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v122(constB77)))),
% 24.89/16.60 inference(rewrite,[status(thm)],[])).
% 24.89/16.60 tff(14486,plain,
% 24.89/16.60 (((~v122(constB77)) | v116(constB77)) <=> (v116(constB77) | (~v122(constB77)))),
% 24.89/16.60 inference(rewrite,[status(thm)],[])).
% 24.89/16.60 tff(14487,plain,
% 24.89/16.60 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB77)) | v116(constB77))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB77) | (~v122(constB77))))),
% 24.89/16.60 inference(monotonicity,[status(thm)],[14486])).
% 24.89/16.60 tff(14488,plain,
% 24.89/16.60 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB77)) | v116(constB77))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v122(constB77)))),
% 24.89/16.60 inference(transitivity,[status(thm)],[14487, 14485])).
% 24.89/16.60 tff(14489,plain,
% 24.89/16.60 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB77)) | v116(constB77))),
% 24.89/16.60 inference(quant_inst,[status(thm)],[])).
% 24.89/16.60 tff(14490,plain,
% 24.89/16.60 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v122(constB77))),
% 24.89/16.60 inference(modus_ponens,[status(thm)],[14489, 14488])).
% 24.89/16.60 tff(14491,plain,
% 24.89/16.60 (~v122(constB77)),
% 24.89/16.60 inference(unit_resolution,[status(thm)],[14490, 2652, 14456])).
% 24.89/16.60 tff(14492,plain,
% 24.89/16.60 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB77) | (~v121(constB77)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB77) | (~v121(constB77)))),
% 24.89/16.60 inference(rewrite,[status(thm)],[])).
% 24.89/16.60 tff(14493,plain,
% 24.89/16.60 (((~v121(constB77)) | v117(constB77)) <=> (v117(constB77) | (~v121(constB77)))),
% 24.89/16.60 inference(rewrite,[status(thm)],[])).
% 24.89/16.60 tff(14494,plain,
% 24.89/16.60 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB77)) | v117(constB77))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB77) | (~v121(constB77))))),
% 24.89/16.60 inference(monotonicity,[status(thm)],[14493])).
% 24.89/16.60 tff(14495,plain,
% 24.89/16.60 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB77)) | v117(constB77))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB77) | (~v121(constB77)))),
% 24.89/16.60 inference(transitivity,[status(thm)],[14494, 14492])).
% 24.89/16.60 tff(14496,plain,
% 24.89/16.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB77)) | v117(constB77))),
% 24.89/16.60 inference(quant_inst,[status(thm)],[])).
% 24.89/16.60 tff(14497,plain,
% 24.89/16.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB77) | (~v121(constB77))),
% 24.89/16.60 inference(modus_ponens,[status(thm)],[14496, 14495])).
% 24.89/16.60 tff(14498,plain,
% 24.89/16.60 (~v121(constB77)),
% 24.89/16.60 inference(unit_resolution,[status(thm)],[14497, 2102, 14463])).
% 24.89/16.60 tff(14499,assumption,(~v90(constB77, bitIndex2)), introduced(assumption)).
% 24.89/16.60 tff(14500,assumption,(~v120(constB77)), introduced(assumption)).
% 24.89/16.60 tff(14501,assumption,(~v119(constB77)), introduced(assumption)).
% 24.89/16.60 tff(14502,assumption,(~v90(constB77, bitIndex1)), introduced(assumption)).
% 24.89/16.60 tff(14503,plain,
% 24.89/16.60 ((~v90(constB77, bitIndex0)) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2)),
% 24.89/16.60 inference(unit_resolution,[status(thm)],[14361, 2012, 14500])).
% 24.89/16.60 tff(14504,plain,
% 24.89/16.60 (~v90(constB77, bitIndex0)),
% 24.89/16.60 inference(unit_resolution,[status(thm)],[14503, 14502, 14499])).
% 24.89/16.60 tff(14505,plain,
% 24.89/16.60 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB77, bitIndex0) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v119(constB77))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB77, bitIndex0) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v119(constB77))),
% 24.89/16.60 inference(rewrite,[status(thm)],[])).
% 24.89/16.60 tff(14506,plain,
% 24.89/16.60 ((v90(constB77, bitIndex0) | v119(constB77) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2)) <=> (v90(constB77, bitIndex0) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v119(constB77))),
% 24.89/16.60 inference(rewrite,[status(thm)],[])).
% 24.89/16.60 tff(14507,plain,
% 24.89/16.60 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB77, bitIndex0) | v119(constB77) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB77, bitIndex0) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v119(constB77)))),
% 24.89/16.60 inference(monotonicity,[status(thm)],[14506])).
% 24.89/16.60 tff(14508,plain,
% 24.89/16.60 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB77, bitIndex0) | v119(constB77) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB77, bitIndex0) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v119(constB77))),
% 24.89/16.60 inference(transitivity,[status(thm)],[14507, 14505])).
% 24.89/16.60 tff(14509,plain,
% 24.89/16.60 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB77, bitIndex0) | v119(constB77) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2))),
% 24.89/16.60 inference(quant_inst,[status(thm)],[])).
% 24.89/16.60 tff(14510,plain,
% 24.89/16.60 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB77, bitIndex0) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v119(constB77)),
% 24.89/16.60 inference(modus_ponens,[status(thm)],[14509, 14508])).
% 24.89/16.60 tff(14511,plain,
% 24.89/16.60 (v90(constB77, bitIndex0) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2)),
% 24.89/16.60 inference(unit_resolution,[status(thm)],[14510, 955, 14501])).
% 24.89/16.60 tff(14512,plain,
% 24.89/16.60 ($false),
% 24.89/16.60 inference(unit_resolution,[status(thm)],[14511, 14504, 14502, 14499])).
% 24.89/16.60 tff(14513,plain,(v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v119(constB77) | v120(constB77)), inference(lemma,lemma(discharge,[]))).
% 24.89/16.60 tff(14514,plain,
% 24.89/16.60 (v90(constB77, bitIndex1)),
% 24.89/16.60 inference(unit_resolution,[status(thm)],[14513, 14499, 14501, 14500])).
% 24.89/16.60 tff(14515,assumption,(~v122(constB77)), introduced(assumption)).
% 24.89/16.60 tff(14516,plain,
% 24.89/16.60 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB77, bitIndex0)) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v122(constB77))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB77, bitIndex0)) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v122(constB77))),
% 24.89/16.60 inference(rewrite,[status(thm)],[])).
% 24.89/16.60 tff(14517,plain,
% 24.89/16.60 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB77, bitIndex0)) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v122(constB77))),
% 24.89/16.60 inference(quant_inst,[status(thm)],[])).
% 24.89/16.60 tff(14518,plain,
% 24.89/16.60 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB77, bitIndex0)) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v122(constB77)),
% 24.89/16.60 inference(modus_ponens,[status(thm)],[14517, 14516])).
% 24.89/16.60 tff(14519,plain,
% 24.89/16.60 ((~v90(constB77, bitIndex0)) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2)),
% 24.89/16.60 inference(unit_resolution,[status(thm)],[14518, 2641, 14515])).
% 24.89/16.60 tff(14520,plain,
% 24.89/16.60 (~v90(constB77, bitIndex0)),
% 24.89/16.60 inference(unit_resolution,[status(thm)],[14519, 14514, 14499])).
% 24.89/16.60 tff(14521,assumption,(~v121(constB77)), introduced(assumption)).
% 24.89/16.60 tff(14522,plain,
% 24.89/16.60 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v121(constB77))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v121(constB77))),
% 24.89/16.60 inference(rewrite,[status(thm)],[])).
% 24.89/16.60 tff(14523,plain,
% 24.89/16.60 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v121(constB77))),
% 24.89/16.60 inference(quant_inst,[status(thm)],[])).
% 24.89/16.60 tff(14524,plain,
% 24.89/16.60 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v121(constB77)),
% 24.89/16.60 inference(modus_ponens,[status(thm)],[14523, 14522])).
% 24.89/16.60 tff(14525,plain,
% 24.89/16.60 (v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2)),
% 24.89/16.60 inference(unit_resolution,[status(thm)],[14524, 2145, 14521])).
% 24.89/16.60 tff(14526,plain,
% 24.89/16.60 ($false),
% 24.89/16.60 inference(unit_resolution,[status(thm)],[14525, 14520, 14514, 14499])).
% 24.89/16.60 tff(14527,plain,(v90(constB77, bitIndex2) | v121(constB77) | v122(constB77) | v119(constB77) | v120(constB77)), inference(lemma,lemma(discharge,[]))).
% 24.89/16.60 tff(14528,plain,
% 24.89/16.60 (v90(constB77, bitIndex2)),
% 24.89/16.60 inference(unit_resolution,[status(thm)],[14527, 14498, 14491, 14484, 14477])).
% 24.89/16.60 tff(14529,plain,
% 24.89/16.60 (v90(constB76, bitIndex2)),
% 24.89/16.60 inference(unit_resolution,[status(thm)],[14292, 14528])).
% 24.89/16.60 tff(14530,plain,
% 24.89/16.60 (~v100(constB76)),
% 24.89/16.60 inference(unit_resolution,[status(thm)],[14265, 14529])).
% 24.89/16.60 tff(14531,plain,
% 24.89/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB75, bitIndex0) | (~nextState(constB75, constB76)) | v100(constB76) | (~v90(constB76, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB75, bitIndex0) | (~nextState(constB75, constB76)) | v100(constB76) | (~v90(constB76, bitIndex0)))),
% 24.89/16.60 inference(rewrite,[status(thm)],[])).
% 24.89/16.60 tff(14532,plain,
% 24.89/16.60 (((~nextState(constB75, constB76)) | v90(constB75, bitIndex0) | v100(constB76) | (~v90(constB76, bitIndex0))) <=> (v90(constB75, bitIndex0) | (~nextState(constB75, constB76)) | v100(constB76) | (~v90(constB76, bitIndex0)))),
% 24.89/16.60 inference(rewrite,[status(thm)],[])).
% 24.89/16.60 tff(14533,plain,
% 24.89/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v90(constB75, bitIndex0) | v100(constB76) | (~v90(constB76, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB75, bitIndex0) | (~nextState(constB75, constB76)) | v100(constB76) | (~v90(constB76, bitIndex0))))),
% 24.89/16.61 inference(monotonicity,[status(thm)],[14532])).
% 24.89/16.61 tff(14534,plain,
% 24.89/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v90(constB75, bitIndex0) | v100(constB76) | (~v90(constB76, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB75, bitIndex0) | (~nextState(constB75, constB76)) | v100(constB76) | (~v90(constB76, bitIndex0)))),
% 24.89/16.61 inference(transitivity,[status(thm)],[14533, 14531])).
% 24.89/16.61 tff(14535,plain,
% 24.89/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v90(constB75, bitIndex0) | v100(constB76) | (~v90(constB76, bitIndex0)))),
% 24.89/16.61 inference(quant_inst,[status(thm)],[])).
% 24.89/16.61 tff(14536,plain,
% 24.89/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB75, bitIndex0) | (~nextState(constB75, constB76)) | v100(constB76) | (~v90(constB76, bitIndex0))),
% 24.89/16.61 inference(modus_ponens,[status(thm)],[14535, 14534])).
% 24.89/16.61 tff(14537,plain,
% 24.89/16.61 (v90(constB75, bitIndex0) | v100(constB76) | (~v90(constB76, bitIndex0))),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14536, 934, 14183])).
% 24.89/16.61 tff(14538,plain,
% 24.89/16.61 (v100(constB76) | (~v90(constB76, bitIndex0))),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14537, 14157])).
% 24.89/16.61 tff(14539,plain,
% 24.89/16.61 (~v90(constB76, bitIndex0)),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14538, 14530])).
% 24.89/16.61 tff(14540,plain,
% 24.89/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB77, bitIndex2)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB77, bitIndex2)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, bitIndex2))),
% 24.89/16.61 inference(rewrite,[status(thm)],[])).
% 24.89/16.61 tff(14541,plain,
% 24.89/16.61 (((~nextState(constB77, constB78)) | (~v90(constB77, bitIndex2)) | v100(constB78) | v90(constB78, bitIndex2)) <=> ((~v90(constB77, bitIndex2)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, bitIndex2))),
% 24.89/16.61 inference(rewrite,[status(thm)],[])).
% 24.89/16.61 tff(14542,plain,
% 24.89/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB77, constB78)) | (~v90(constB77, bitIndex2)) | v100(constB78) | v90(constB78, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB77, bitIndex2)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, bitIndex2)))),
% 24.89/16.61 inference(monotonicity,[status(thm)],[14541])).
% 24.89/16.61 tff(14543,plain,
% 24.89/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB77, constB78)) | (~v90(constB77, bitIndex2)) | v100(constB78) | v90(constB78, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB77, bitIndex2)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, bitIndex2))),
% 24.89/16.61 inference(transitivity,[status(thm)],[14542, 14540])).
% 24.89/16.61 tff(14544,plain,
% 24.89/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB77, constB78)) | (~v90(constB77, bitIndex2)) | v100(constB78) | v90(constB78, bitIndex2))),
% 24.89/16.61 inference(quant_inst,[status(thm)],[])).
% 24.89/16.61 tff(14545,plain,
% 24.89/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB77, bitIndex2)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, bitIndex2)),
% 24.89/16.61 inference(modus_ponens,[status(thm)],[14544, 14543])).
% 24.89/16.61 tff(14546,plain,
% 24.89/16.61 ((~v90(constB77, bitIndex2)) | v100(constB78) | v90(constB78, bitIndex2)),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14545, 1240, 14377])).
% 24.89/16.61 tff(14547,plain,
% 24.89/16.61 (v90(constB78, bitIndex2)),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14546, 14528, 14383])).
% 24.89/16.61 tff(14548,assumption,(v90(constB78, bitIndex2)), introduced(assumption)).
% 24.89/16.61 tff(14549,plain,
% 24.89/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB77, bitIndex2) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB77, bitIndex2) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, bitIndex2)))),
% 24.89/16.61 inference(rewrite,[status(thm)],[])).
% 24.89/16.61 tff(14550,plain,
% 24.89/16.61 (((~nextState(constB77, constB78)) | v90(constB77, bitIndex2) | v100(constB78) | (~v90(constB78, bitIndex2))) <=> (v90(constB77, bitIndex2) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, bitIndex2)))),
% 24.89/16.61 inference(rewrite,[status(thm)],[])).
% 24.89/16.61 tff(14551,plain,
% 24.89/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v90(constB77, bitIndex2) | v100(constB78) | (~v90(constB78, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB77, bitIndex2) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, bitIndex2))))),
% 24.89/16.61 inference(monotonicity,[status(thm)],[14550])).
% 24.89/16.61 tff(14552,plain,
% 24.89/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v90(constB77, bitIndex2) | v100(constB78) | (~v90(constB78, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB77, bitIndex2) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, bitIndex2)))),
% 24.89/16.61 inference(transitivity,[status(thm)],[14551, 14549])).
% 24.89/16.61 tff(14553,plain,
% 24.89/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v90(constB77, bitIndex2) | v100(constB78) | (~v90(constB78, bitIndex2)))),
% 24.89/16.61 inference(quant_inst,[status(thm)],[])).
% 24.89/16.61 tff(14554,plain,
% 24.89/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB77, bitIndex2) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, bitIndex2))),
% 24.89/16.61 inference(modus_ponens,[status(thm)],[14553, 14552])).
% 24.89/16.61 tff(14555,plain,
% 24.89/16.61 (v90(constB77, bitIndex2) | v100(constB78) | (~v90(constB78, bitIndex2))),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14554, 892, 14377])).
% 24.89/16.61 tff(14556,plain,
% 24.89/16.61 (v90(constB77, bitIndex2)),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14555, 14383, 14548])).
% 24.89/16.61 tff(14557,plain,
% 24.89/16.61 (v90(constB76, bitIndex2)),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14292, 14556])).
% 24.89/16.61 tff(14558,assumption,(~v90(constB78, bitIndex1)), introduced(assumption)).
% 24.89/16.61 tff(14559,plain,
% 24.89/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB77, bitIndex1)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB77, bitIndex1)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, bitIndex1))),
% 24.89/16.61 inference(rewrite,[status(thm)],[])).
% 24.89/16.61 tff(14560,plain,
% 24.89/16.61 (((~nextState(constB77, constB78)) | (~v90(constB77, bitIndex1)) | v100(constB78) | v90(constB78, bitIndex1)) <=> ((~v90(constB77, bitIndex1)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, bitIndex1))),
% 24.89/16.61 inference(rewrite,[status(thm)],[])).
% 24.89/16.61 tff(14561,plain,
% 24.89/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v90(constB77, bitIndex1)) | v100(constB78) | v90(constB78, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB77, bitIndex1)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, bitIndex1)))),
% 24.89/16.61 inference(monotonicity,[status(thm)],[14560])).
% 24.89/16.61 tff(14562,plain,
% 24.89/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v90(constB77, bitIndex1)) | v100(constB78) | v90(constB78, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB77, bitIndex1)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, bitIndex1))),
% 24.89/16.61 inference(transitivity,[status(thm)],[14561, 14559])).
% 24.89/16.61 tff(14563,plain,
% 24.89/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v90(constB77, bitIndex1)) | v100(constB78) | v90(constB78, bitIndex1))),
% 24.89/16.61 inference(quant_inst,[status(thm)],[])).
% 24.89/16.61 tff(14564,plain,
% 24.89/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB77, bitIndex1)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, bitIndex1)),
% 24.89/16.61 inference(modus_ponens,[status(thm)],[14563, 14562])).
% 24.89/16.61 tff(14565,plain,
% 24.89/16.61 ((~v90(constB77, bitIndex1)) | v100(constB78) | v90(constB78, bitIndex1)),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14564, 1601, 14377])).
% 24.89/16.61 tff(14566,plain,
% 24.89/16.61 (~v90(constB77, bitIndex1)),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14565, 14383, 14558])).
% 24.89/16.61 tff(14567,plain,
% 24.89/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1))),
% 24.89/16.61 inference(rewrite,[status(thm)],[])).
% 24.89/16.61 tff(14568,plain,
% 24.89/16.61 (((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1)) <=> ((~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1))),
% 24.89/16.61 inference(rewrite,[status(thm)],[])).
% 24.89/16.61 tff(14569,plain,
% 24.89/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1)))),
% 24.89/16.61 inference(monotonicity,[status(thm)],[14568])).
% 24.89/16.61 tff(14570,plain,
% 24.89/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1))),
% 24.89/16.61 inference(transitivity,[status(thm)],[14569, 14567])).
% 24.89/16.61 tff(14571,plain,
% 24.89/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1))),
% 24.89/16.61 inference(quant_inst,[status(thm)],[])).
% 24.89/16.61 tff(14572,plain,
% 24.89/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1)),
% 24.89/16.61 inference(modus_ponens,[status(thm)],[14571, 14570])).
% 24.89/16.61 tff(14573,plain,
% 24.89/16.61 ((~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1)),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14572, 1601, 14272])).
% 24.89/16.61 tff(14574,plain,
% 24.89/16.61 ((~v90(constB76, bitIndex1)) | v90(constB77, bitIndex1)),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14573, 14284])).
% 24.89/16.61 tff(14575,plain,
% 24.89/16.61 (~v90(constB76, bitIndex1)),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14574, 14566])).
% 24.89/16.61 tff(14576,plain,
% 24.89/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB75, bitIndex1)) | (~nextState(constB75, constB76)) | v100(constB76) | v90(constB76, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB75, bitIndex1)) | (~nextState(constB75, constB76)) | v100(constB76) | v90(constB76, bitIndex1))),
% 24.89/16.61 inference(rewrite,[status(thm)],[])).
% 24.89/16.61 tff(14577,plain,
% 24.89/16.61 (((~nextState(constB75, constB76)) | (~v90(constB75, bitIndex1)) | v100(constB76) | v90(constB76, bitIndex1)) <=> ((~v90(constB75, bitIndex1)) | (~nextState(constB75, constB76)) | v100(constB76) | v90(constB76, bitIndex1))),
% 24.89/16.61 inference(rewrite,[status(thm)],[])).
% 24.89/16.61 tff(14578,plain,
% 24.89/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB75, constB76)) | (~v90(constB75, bitIndex1)) | v100(constB76) | v90(constB76, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB75, bitIndex1)) | (~nextState(constB75, constB76)) | v100(constB76) | v90(constB76, bitIndex1)))),
% 24.89/16.61 inference(monotonicity,[status(thm)],[14577])).
% 24.89/16.61 tff(14579,plain,
% 24.89/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB75, constB76)) | (~v90(constB75, bitIndex1)) | v100(constB76) | v90(constB76, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB75, bitIndex1)) | (~nextState(constB75, constB76)) | v100(constB76) | v90(constB76, bitIndex1))),
% 24.89/16.61 inference(transitivity,[status(thm)],[14578, 14576])).
% 24.89/16.61 tff(14580,plain,
% 24.89/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB75, constB76)) | (~v90(constB75, bitIndex1)) | v100(constB76) | v90(constB76, bitIndex1))),
% 24.89/16.61 inference(quant_inst,[status(thm)],[])).
% 24.89/16.61 tff(14581,plain,
% 24.89/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB75, bitIndex1)) | (~nextState(constB75, constB76)) | v100(constB76) | v90(constB76, bitIndex1)),
% 24.89/16.61 inference(modus_ponens,[status(thm)],[14580, 14579])).
% 24.89/16.61 tff(14582,plain,
% 24.89/16.61 ((~v90(constB75, bitIndex1)) | v100(constB76) | v90(constB76, bitIndex1)),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14581, 1601, 14183])).
% 24.89/16.61 tff(14583,plain,
% 24.89/16.61 (v100(constB76) | v90(constB76, bitIndex1)),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14582, 14123])).
% 24.89/16.61 tff(14584,plain,
% 24.89/16.61 (v100(constB76)),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14583, 14575])).
% 24.89/16.61 tff(14585,assumption,(~v129(constB76, bitIndex2)), introduced(assumption)).
% 24.89/16.61 tff(14586,plain,
% 24.89/16.61 ((~v90(constB76, bitIndex2)) | (~v100(constB76))),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14264, 1845, 14585])).
% 24.89/16.61 tff(14587,plain,
% 24.89/16.61 ($false),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14586, 14584, 14557])).
% 24.89/16.61 tff(14588,plain,(v100(constB78) | v129(constB76, bitIndex2) | (~v90(constB78, bitIndex2)) | v90(constB78, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 24.89/16.61 tff(14589,plain,
% 24.89/16.61 (v100(constB78) | (~v90(constB78, bitIndex2)) | v90(constB78, bitIndex1)),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14588, 14261])).
% 24.89/16.61 tff(14590,plain,
% 24.89/16.61 (v90(constB78, bitIndex1)),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14589, 14547, 14383])).
% 24.89/16.61 tff(14591,plain,
% 24.89/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB77, bitIndex1) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB77, bitIndex1) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, bitIndex1)))),
% 24.89/16.61 inference(rewrite,[status(thm)],[])).
% 24.89/16.61 tff(14592,plain,
% 24.89/16.61 (((~nextState(constB77, constB78)) | v90(constB77, bitIndex1) | v100(constB78) | (~v90(constB78, bitIndex1))) <=> (v90(constB77, bitIndex1) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, bitIndex1)))),
% 24.89/16.61 inference(rewrite,[status(thm)],[])).
% 24.89/16.61 tff(14593,plain,
% 24.89/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB77, constB78)) | v90(constB77, bitIndex1) | v100(constB78) | (~v90(constB78, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB77, bitIndex1) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, bitIndex1))))),
% 24.89/16.61 inference(monotonicity,[status(thm)],[14592])).
% 24.89/16.61 tff(14594,plain,
% 24.89/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB77, constB78)) | v90(constB77, bitIndex1) | v100(constB78) | (~v90(constB78, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB77, bitIndex1) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, bitIndex1)))),
% 24.89/16.61 inference(transitivity,[status(thm)],[14593, 14591])).
% 24.89/16.61 tff(14595,plain,
% 24.89/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB77, constB78)) | v90(constB77, bitIndex1) | v100(constB78) | (~v90(constB78, bitIndex1)))),
% 24.89/16.61 inference(quant_inst,[status(thm)],[])).
% 24.89/16.61 tff(14596,plain,
% 24.89/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB77, bitIndex1) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, bitIndex1))),
% 24.89/16.61 inference(modus_ponens,[status(thm)],[14595, 14594])).
% 24.89/16.61 tff(14597,plain,
% 24.89/16.61 (v90(constB77, bitIndex1) | v100(constB78) | (~v90(constB78, bitIndex1))),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14596, 913, 14377])).
% 24.89/16.61 tff(14598,plain,
% 24.89/16.61 (v90(constB77, bitIndex1)),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14597, 14590, 14383])).
% 24.89/16.61 tff(14599,plain,
% 24.89/16.61 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB77) | (~v125(constB77)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB77) | (~v125(constB77)))),
% 24.89/16.61 inference(rewrite,[status(thm)],[])).
% 24.89/16.61 tff(14600,plain,
% 24.89/16.61 (((~v125(constB77)) | v113(constB77)) <=> (v113(constB77) | (~v125(constB77)))),
% 24.89/16.61 inference(rewrite,[status(thm)],[])).
% 24.89/16.61 tff(14601,plain,
% 24.89/16.61 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB77)) | v113(constB77))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB77) | (~v125(constB77))))),
% 24.89/16.61 inference(monotonicity,[status(thm)],[14600])).
% 24.89/16.61 tff(14602,plain,
% 24.89/16.61 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB77)) | v113(constB77))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB77) | (~v125(constB77)))),
% 24.89/16.61 inference(transitivity,[status(thm)],[14601, 14599])).
% 24.89/16.61 tff(14603,plain,
% 24.89/16.61 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB77)) | v113(constB77))),
% 24.89/16.61 inference(quant_inst,[status(thm)],[])).
% 24.89/16.61 tff(14604,plain,
% 24.89/16.61 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB77) | (~v125(constB77))),
% 24.89/16.61 inference(modus_ponens,[status(thm)],[14603, 14602])).
% 24.89/16.61 tff(14605,plain,
% 24.89/16.61 (~v125(constB77)),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14604, 1672, 14435])).
% 24.89/16.61 tff(14606,plain,
% 24.89/16.61 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | (~v90(constB77, bitIndex2)) | v125(constB77))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | (~v90(constB77, bitIndex2)) | v125(constB77))),
% 24.89/16.61 inference(rewrite,[status(thm)],[])).
% 24.89/16.61 tff(14607,plain,
% 24.89/16.61 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | (~v90(constB77, bitIndex2)) | v125(constB77))),
% 24.89/16.61 inference(quant_inst,[status(thm)],[])).
% 24.89/16.61 tff(14608,plain,
% 24.89/16.61 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | (~v90(constB77, bitIndex2)) | v125(constB77)),
% 24.89/16.61 inference(modus_ponens,[status(thm)],[14607, 14606])).
% 24.89/16.61 tff(14609,plain,
% 24.89/16.61 (v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | (~v90(constB77, bitIndex2))),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14608, 1661, 14605])).
% 24.89/16.61 tff(14610,plain,
% 24.89/16.61 (v90(constB77, bitIndex0)),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14609, 14598, 14528])).
% 24.89/16.61 tff(14611,plain,
% 24.89/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0)))),
% 24.89/16.61 inference(rewrite,[status(thm)],[])).
% 24.89/16.61 tff(14612,plain,
% 24.89/16.61 (((~nextState(constB76, constB77)) | v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0))) <=> (v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0)))),
% 24.89/16.61 inference(rewrite,[status(thm)],[])).
% 24.89/16.61 tff(14613,plain,
% 24.89/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0))))),
% 24.89/16.61 inference(monotonicity,[status(thm)],[14612])).
% 24.89/16.61 tff(14614,plain,
% 24.89/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0)))),
% 24.89/16.61 inference(transitivity,[status(thm)],[14613, 14611])).
% 24.89/16.61 tff(14615,plain,
% 24.89/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0)))),
% 24.89/16.61 inference(quant_inst,[status(thm)],[])).
% 24.89/16.61 tff(14616,plain,
% 24.89/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0))),
% 24.89/16.61 inference(modus_ponens,[status(thm)],[14615, 14614])).
% 24.89/16.61 tff(14617,plain,
% 24.89/16.61 (v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0))),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14616, 934, 14272])).
% 24.89/16.61 tff(14618,plain,
% 24.89/16.61 (v90(constB76, bitIndex0) | (~v90(constB77, bitIndex0))),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14617, 14284])).
% 24.89/16.61 tff(14619,plain,
% 24.89/16.61 ($false),
% 24.89/16.61 inference(unit_resolution,[status(thm)],[14618, 14610, 14539])).
% 24.89/16.61 tff(14620,plain,(v100(constB78)), inference(lemma,lemma(discharge,[]))).
% 24.89/16.61 tff(14621,plain,
% 24.89/16.61 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))),
% 24.89/16.61 inference(rewrite,[status(thm)],[])).
% 24.89/16.61 tff(14622,plain,
% 24.89/16.61 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))),
% 24.89/16.61 inference(quant_inst,[status(thm)],[])).
% 24.89/16.62 tff(14623,plain,
% 24.89/16.62 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78))),
% 24.89/16.62 inference(modus_ponens,[status(thm)],[14622, 14621])).
% 24.89/16.62 tff(14624,plain,
% 24.89/16.62 ((~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14623, 1845, 14620])).
% 24.89/16.62 tff(14625,plain,
% 24.89/16.62 (~v90(constB78, bitIndex2)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14624, 14382])).
% 24.89/16.62 tff(14626,plain,
% 24.89/16.62 ((~v1(constB79)) <=> (~v1(constB79))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14627,axiom,(~v1(constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_79_1_1')).
% 24.89/16.62 tff(14628,plain,
% 24.89/16.62 (~v1(constB79)),
% 24.89/16.62 inference(modus_ponens,[status(thm)],[14627, 14626])).
% 24.89/16.62 tff(14629,plain,
% 24.89/16.62 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14630,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_78_1')).
% 24.89/16.62 tff(14631,plain,
% 24.89/16.62 (nextState(constB78, constB79)),
% 24.89/16.62 inference(modus_ponens,[status(thm)],[14630, 14629])).
% 24.89/16.62 tff(14632,plain,
% 24.89/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14633,plain,
% 24.89/16.62 (((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79)) <=> (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14634,plain,
% 24.89/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79))))),
% 24.89/16.62 inference(monotonicity,[status(thm)],[14633])).
% 24.89/16.62 tff(14635,plain,
% 24.89/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 24.89/16.62 inference(transitivity,[status(thm)],[14634, 14632])).
% 24.89/16.62 tff(14636,plain,
% 24.89/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))),
% 24.89/16.62 inference(quant_inst,[status(thm)],[])).
% 24.89/16.62 tff(14637,plain,
% 24.89/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79))),
% 24.89/16.62 inference(modus_ponens,[status(thm)],[14636, 14635])).
% 24.89/16.62 tff(14638,plain,
% 24.89/16.62 (~v101(constB79)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14637, 860, 14631, 14628])).
% 24.89/16.62 tff(14639,plain,
% 24.89/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14640,plain,
% 24.89/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))),
% 24.89/16.62 inference(quant_inst,[status(thm)],[])).
% 24.89/16.62 tff(14641,plain,
% 24.89/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79))),
% 24.89/16.62 inference(modus_ponens,[status(thm)],[14640, 14639])).
% 24.89/16.62 tff(14642,plain,
% 24.89/16.62 (v101(constB79) | (~v100(constB79))),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14641, 877, 14631])).
% 24.89/16.62 tff(14643,plain,
% 24.89/16.62 (~v100(constB79)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14642, 14638])).
% 24.89/16.62 tff(14644,plain,
% 24.89/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14645,plain,
% 24.89/16.62 (((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2))) <=> (v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14646,plain,
% 24.89/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2))))),
% 24.89/16.62 inference(monotonicity,[status(thm)],[14645])).
% 24.89/16.62 tff(14647,plain,
% 24.89/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 24.89/16.62 inference(transitivity,[status(thm)],[14646, 14644])).
% 24.89/16.62 tff(14648,plain,
% 24.89/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 24.89/16.62 inference(quant_inst,[status(thm)],[])).
% 24.89/16.62 tff(14649,plain,
% 24.89/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2))),
% 24.89/16.62 inference(modus_ponens,[status(thm)],[14648, 14647])).
% 24.89/16.62 tff(14650,plain,
% 24.89/16.62 (v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2))),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14649, 892, 14631])).
% 24.89/16.62 tff(14651,plain,
% 24.89/16.62 (v90(constB78, bitIndex2) | (~v90(constB79, bitIndex2))),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14650, 14643])).
% 24.89/16.62 tff(14652,plain,
% 24.89/16.62 (~v90(constB79, bitIndex2)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14651, 14625])).
% 24.89/16.62 tff(14653,plain,
% 24.89/16.62 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB77)) | v130(constB77, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB77)) | v130(constB77, bitIndex1))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14654,plain,
% 24.89/16.62 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB77)) | v130(constB77, bitIndex1))),
% 24.89/16.62 inference(quant_inst,[status(thm)],[])).
% 24.89/16.62 tff(14655,plain,
% 24.89/16.62 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB77)) | v130(constB77, bitIndex1)),
% 24.89/16.62 inference(modus_ponens,[status(thm)],[14654, 14653])).
% 24.89/16.62 tff(14656,plain,
% 24.89/16.62 (v130(constB77, bitIndex1)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14655, 2034, 14362])).
% 24.89/16.62 tff(14657,plain,
% 24.89/16.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14658,plain,
% 24.89/16.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1))),
% 24.89/16.62 inference(quant_inst,[status(thm)],[])).
% 24.89/16.62 tff(14659,plain,
% 24.89/16.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1)),
% 24.89/16.62 inference(modus_ponens,[status(thm)],[14658, 14657])).
% 24.89/16.62 tff(14660,plain,
% 24.89/16.62 (v26(constB77) | v127(constB77, bitIndex1)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14659, 1553, 14656])).
% 24.89/16.62 tff(14661,plain,
% 24.89/16.62 (v127(constB77, bitIndex1)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14660, 812])).
% 24.89/16.62 tff(14662,plain,
% 24.89/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14663,plain,
% 24.89/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1))),
% 24.89/16.62 inference(quant_inst,[status(thm)],[])).
% 24.89/16.62 tff(14664,plain,
% 24.89/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1)),
% 24.89/16.62 inference(modus_ponens,[status(thm)],[14663, 14662])).
% 24.89/16.62 tff(14665,plain,
% 24.89/16.62 ((~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14664, 1568, 14377])).
% 24.89/16.62 tff(14666,plain,
% 24.89/16.62 (v129(constB78, bitIndex1)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14665, 14661])).
% 24.89/16.62 tff(14667,plain,
% 24.89/16.62 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14668,plain,
% 24.89/16.62 ((v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1))) <=> (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14669,plain,
% 24.89/16.62 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78))))),
% 24.89/16.62 inference(monotonicity,[status(thm)],[14668])).
% 24.89/16.62 tff(14670,plain,
% 24.89/16.62 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))),
% 24.89/16.62 inference(transitivity,[status(thm)],[14669, 14667])).
% 24.89/16.62 tff(14671,plain,
% 24.89/16.62 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1)))),
% 24.89/16.62 inference(quant_inst,[status(thm)],[])).
% 24.89/16.62 tff(14672,plain,
% 24.89/16.62 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78))),
% 24.89/16.62 inference(modus_ponens,[status(thm)],[14671, 14670])).
% 24.89/16.62 tff(14673,plain,
% 24.89/16.62 (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1))),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14672, 1583, 14620])).
% 24.89/16.62 tff(14674,plain,
% 24.89/16.62 (v90(constB78, bitIndex1)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14673, 14666])).
% 24.89/16.62 tff(14675,plain,
% 24.89/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14676,plain,
% 24.89/16.62 (((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1)) <=> ((~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14677,plain,
% 24.89/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1)))),
% 24.89/16.62 inference(monotonicity,[status(thm)],[14676])).
% 24.89/16.62 tff(14678,plain,
% 24.89/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))),
% 24.89/16.62 inference(transitivity,[status(thm)],[14677, 14675])).
% 24.89/16.62 tff(14679,plain,
% 24.89/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1))),
% 24.89/16.62 inference(quant_inst,[status(thm)],[])).
% 24.89/16.62 tff(14680,plain,
% 24.89/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1)),
% 24.89/16.62 inference(modus_ponens,[status(thm)],[14679, 14678])).
% 24.89/16.62 tff(14681,plain,
% 24.89/16.62 ((~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14680, 1601, 14631])).
% 24.89/16.62 tff(14682,plain,
% 24.89/16.62 ((~v90(constB78, bitIndex1)) | v90(constB79, bitIndex1)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14681, 14643])).
% 24.89/16.62 tff(14683,plain,
% 24.89/16.62 (v90(constB79, bitIndex1)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14682, 14674])).
% 24.89/16.62 tff(14684,plain,
% 24.89/16.62 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB77)) | (~v130(constB77, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB77)) | (~v130(constB77, bitIndex0)))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14685,plain,
% 24.89/16.62 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB77)) | (~v130(constB77, bitIndex0)))),
% 24.89/16.62 inference(quant_inst,[status(thm)],[])).
% 24.89/16.62 tff(14686,plain,
% 24.89/16.62 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB77)) | (~v130(constB77, bitIndex0))),
% 24.89/16.62 inference(modus_ponens,[status(thm)],[14685, 14684])).
% 24.89/16.62 tff(14687,plain,
% 24.89/16.62 (~v130(constB77, bitIndex0)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14686, 2023, 14362])).
% 24.89/16.62 tff(14688,plain,
% 24.89/16.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB77, bitIndex0)) | v26(constB77) | v130(constB77, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB77, bitIndex0)) | v26(constB77) | v130(constB77, bitIndex0))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14689,plain,
% 24.89/16.62 ((v26(constB77) | v130(constB77, bitIndex0) | (~v127(constB77, bitIndex0))) <=> ((~v127(constB77, bitIndex0)) | v26(constB77) | v130(constB77, bitIndex0))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14690,plain,
% 24.89/16.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB77) | v130(constB77, bitIndex0) | (~v127(constB77, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB77, bitIndex0)) | v26(constB77) | v130(constB77, bitIndex0)))),
% 24.89/16.62 inference(monotonicity,[status(thm)],[14689])).
% 24.89/16.62 tff(14691,plain,
% 24.89/16.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB77) | v130(constB77, bitIndex0) | (~v127(constB77, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB77, bitIndex0)) | v26(constB77) | v130(constB77, bitIndex0))),
% 24.89/16.62 inference(transitivity,[status(thm)],[14690, 14688])).
% 24.89/16.62 tff(14692,plain,
% 24.89/16.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB77) | v130(constB77, bitIndex0) | (~v127(constB77, bitIndex0)))),
% 24.89/16.62 inference(quant_inst,[status(thm)],[])).
% 24.89/16.62 tff(14693,plain,
% 24.89/16.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB77, bitIndex0)) | v26(constB77) | v130(constB77, bitIndex0)),
% 24.89/16.62 inference(modus_ponens,[status(thm)],[14692, 14691])).
% 24.89/16.62 tff(14694,plain,
% 24.89/16.62 ((~v127(constB77, bitIndex0)) | v26(constB77)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14693, 1341, 14687])).
% 24.89/16.62 tff(14695,plain,
% 24.89/16.62 (~v127(constB77, bitIndex0)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14694, 812])).
% 24.89/16.62 tff(14696,plain,
% 24.89/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB77, constB78)) | v127(constB77, bitIndex0) | (~v129(constB78, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB77, constB78)) | v127(constB77, bitIndex0) | (~v129(constB78, bitIndex0)))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14697,plain,
% 24.89/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB77, constB78)) | v127(constB77, bitIndex0) | (~v129(constB78, bitIndex0)))),
% 24.89/16.62 inference(quant_inst,[status(thm)],[])).
% 24.89/16.62 tff(14698,plain,
% 24.89/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB77, constB78)) | v127(constB77, bitIndex0) | (~v129(constB78, bitIndex0))),
% 24.89/16.62 inference(modus_ponens,[status(thm)],[14697, 14696])).
% 24.89/16.62 tff(14699,plain,
% 24.89/16.62 (v127(constB77, bitIndex0) | (~v129(constB78, bitIndex0))),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14698, 1359, 14377])).
% 24.89/16.62 tff(14700,plain,
% 24.89/16.62 (~v129(constB78, bitIndex0)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14699, 14695])).
% 24.89/16.62 tff(14701,plain,
% 24.89/16.62 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | v129(constB78, bitIndex0) | (~v100(constB78)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB78, bitIndex0)) | v129(constB78, bitIndex0) | (~v100(constB78)))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14702,plain,
% 24.89/16.62 (((~v90(constB78, bitIndex0)) | (~v100(constB78)) | v129(constB78, bitIndex0)) <=> ((~v90(constB78, bitIndex0)) | v129(constB78, bitIndex0) | (~v100(constB78)))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14703,plain,
% 24.89/16.62 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | (~v100(constB78)) | v129(constB78, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | v129(constB78, bitIndex0) | (~v100(constB78))))),
% 24.89/16.62 inference(monotonicity,[status(thm)],[14702])).
% 24.89/16.62 tff(14704,plain,
% 24.89/16.62 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | (~v100(constB78)) | v129(constB78, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB78, bitIndex0)) | v129(constB78, bitIndex0) | (~v100(constB78)))),
% 24.89/16.62 inference(transitivity,[status(thm)],[14703, 14701])).
% 24.89/16.62 tff(14705,plain,
% 24.89/16.62 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | (~v100(constB78)) | v129(constB78, bitIndex0))),
% 24.89/16.62 inference(quant_inst,[status(thm)],[])).
% 24.89/16.62 tff(14706,plain,
% 24.89/16.62 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB78, bitIndex0)) | v129(constB78, bitIndex0) | (~v100(constB78))),
% 24.89/16.62 inference(modus_ponens,[status(thm)],[14705, 14704])).
% 24.89/16.62 tff(14707,plain,
% 24.89/16.62 ((~v90(constB78, bitIndex0)) | v129(constB78, bitIndex0)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14706, 1374, 14620])).
% 24.89/16.62 tff(14708,plain,
% 24.89/16.62 (~v90(constB78, bitIndex0)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14707, 14700])).
% 24.89/16.62 tff(14709,plain,
% 24.89/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex0)))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14710,plain,
% 24.89/16.62 (((~nextState(constB78, constB79)) | v90(constB78, bitIndex0) | v100(constB79) | (~v90(constB79, bitIndex0))) <=> (v90(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex0)))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14711,plain,
% 24.89/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex0) | v100(constB79) | (~v90(constB79, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex0))))),
% 24.89/16.62 inference(monotonicity,[status(thm)],[14710])).
% 24.89/16.62 tff(14712,plain,
% 24.89/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex0) | v100(constB79) | (~v90(constB79, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex0)))),
% 24.89/16.62 inference(transitivity,[status(thm)],[14711, 14709])).
% 24.89/16.62 tff(14713,plain,
% 24.89/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex0) | v100(constB79) | (~v90(constB79, bitIndex0)))),
% 24.89/16.62 inference(quant_inst,[status(thm)],[])).
% 24.89/16.62 tff(14714,plain,
% 24.89/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex0))),
% 24.89/16.62 inference(modus_ponens,[status(thm)],[14713, 14712])).
% 24.89/16.62 tff(14715,plain,
% 24.89/16.62 (v90(constB78, bitIndex0) | v100(constB79) | (~v90(constB79, bitIndex0))),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14714, 934, 14631])).
% 24.89/16.62 tff(14716,plain,
% 24.89/16.62 (v90(constB78, bitIndex0) | (~v90(constB79, bitIndex0))),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14715, 14643])).
% 24.89/16.62 tff(14717,plain,
% 24.89/16.62 (~v90(constB79, bitIndex0)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14716, 14708])).
% 24.89/16.62 tff(14718,plain,
% 24.89/16.62 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v121(constB79))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v121(constB79))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14719,plain,
% 24.89/16.62 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v121(constB79))),
% 24.89/16.62 inference(quant_inst,[status(thm)],[])).
% 24.89/16.62 tff(14720,plain,
% 24.89/16.62 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v121(constB79)),
% 24.89/16.62 inference(modus_ponens,[status(thm)],[14719, 14718])).
% 24.89/16.62 tff(14721,plain,
% 24.89/16.62 (v121(constB79)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14720, 2145, 14717, 14683, 14652])).
% 24.89/16.62 tff(14722,plain,
% 24.89/16.62 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB79) | (~v121(constB79)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB79) | (~v121(constB79)))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14723,plain,
% 24.89/16.62 (((~v121(constB79)) | v117(constB79)) <=> (v117(constB79) | (~v121(constB79)))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14724,plain,
% 24.89/16.62 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB79)) | v117(constB79))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB79) | (~v121(constB79))))),
% 24.89/16.62 inference(monotonicity,[status(thm)],[14723])).
% 24.89/16.62 tff(14725,plain,
% 24.89/16.62 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB79)) | v117(constB79))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB79) | (~v121(constB79)))),
% 24.89/16.62 inference(transitivity,[status(thm)],[14724, 14722])).
% 24.89/16.62 tff(14726,plain,
% 24.89/16.62 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB79)) | v117(constB79))),
% 24.89/16.62 inference(quant_inst,[status(thm)],[])).
% 24.89/16.62 tff(14727,plain,
% 24.89/16.62 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB79) | (~v121(constB79))),
% 24.89/16.62 inference(modus_ponens,[status(thm)],[14726, 14725])).
% 24.89/16.62 tff(14728,plain,
% 24.89/16.62 (v117(constB79)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14727, 2102, 14721])).
% 24.89/16.62 tff(14729,plain,
% 24.89/16.62 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB79) | (~v117(constB79)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB79) | (~v117(constB79)))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14730,plain,
% 24.89/16.62 (((~v117(constB79)) | v116(constB79)) <=> (v116(constB79) | (~v117(constB79)))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14731,plain,
% 24.89/16.62 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB79)) | v116(constB79))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB79) | (~v117(constB79))))),
% 24.89/16.62 inference(monotonicity,[status(thm)],[14730])).
% 24.89/16.62 tff(14732,plain,
% 24.89/16.62 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB79)) | v116(constB79))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB79) | (~v117(constB79)))),
% 24.89/16.62 inference(transitivity,[status(thm)],[14731, 14729])).
% 24.89/16.62 tff(14733,plain,
% 24.89/16.62 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB79)) | v116(constB79))),
% 24.89/16.62 inference(quant_inst,[status(thm)],[])).
% 24.89/16.62 tff(14734,plain,
% 24.89/16.62 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB79) | (~v117(constB79))),
% 24.89/16.62 inference(modus_ponens,[status(thm)],[14733, 14732])).
% 24.89/16.62 tff(14735,plain,
% 24.89/16.62 (v116(constB79)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14734, 994, 14728])).
% 24.89/16.62 tff(14736,plain,
% 24.89/16.62 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB79) | (~v116(constB79)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB79) | (~v116(constB79)))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14737,plain,
% 24.89/16.62 (((~v116(constB79)) | v115(constB79)) <=> (v115(constB79) | (~v116(constB79)))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14738,plain,
% 24.89/16.62 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB79)) | v115(constB79))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB79) | (~v116(constB79))))),
% 24.89/16.62 inference(monotonicity,[status(thm)],[14737])).
% 24.89/16.62 tff(14739,plain,
% 24.89/16.62 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB79)) | v115(constB79))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB79) | (~v116(constB79)))),
% 24.89/16.62 inference(transitivity,[status(thm)],[14738, 14736])).
% 24.89/16.62 tff(14740,plain,
% 24.89/16.62 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB79)) | v115(constB79))),
% 24.89/16.62 inference(quant_inst,[status(thm)],[])).
% 24.89/16.62 tff(14741,plain,
% 24.89/16.62 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB79) | (~v116(constB79))),
% 24.89/16.62 inference(modus_ponens,[status(thm)],[14740, 14739])).
% 24.89/16.62 tff(14742,plain,
% 24.89/16.62 (v115(constB79)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14741, 1008, 14735])).
% 24.89/16.62 tff(14743,plain,
% 24.89/16.62 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB79) | (~v115(constB79)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB79) | (~v115(constB79)))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14744,plain,
% 24.89/16.62 (((~v115(constB79)) | v114(constB79)) <=> (v114(constB79) | (~v115(constB79)))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14745,plain,
% 24.89/16.62 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB79)) | v114(constB79))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB79) | (~v115(constB79))))),
% 24.89/16.62 inference(monotonicity,[status(thm)],[14744])).
% 24.89/16.62 tff(14746,plain,
% 24.89/16.62 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB79)) | v114(constB79))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB79) | (~v115(constB79)))),
% 24.89/16.62 inference(transitivity,[status(thm)],[14745, 14743])).
% 24.89/16.62 tff(14747,plain,
% 24.89/16.62 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB79)) | v114(constB79))),
% 24.89/16.62 inference(quant_inst,[status(thm)],[])).
% 24.89/16.62 tff(14748,plain,
% 24.89/16.62 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB79) | (~v115(constB79))),
% 24.89/16.62 inference(modus_ponens,[status(thm)],[14747, 14746])).
% 24.89/16.62 tff(14749,plain,
% 24.89/16.62 (v114(constB79)),
% 24.89/16.62 inference(unit_resolution,[status(thm)],[14748, 1022, 14742])).
% 24.89/16.62 tff(14750,plain,
% 24.89/16.62 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB79) | (~v114(constB79)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB79) | (~v114(constB79)))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14751,plain,
% 24.89/16.62 (((~v114(constB79)) | v113(constB79)) <=> (v113(constB79) | (~v114(constB79)))),
% 24.89/16.62 inference(rewrite,[status(thm)],[])).
% 24.89/16.62 tff(14752,plain,
% 24.89/16.62 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB79)) | v113(constB79))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB79) | (~v114(constB79))))),
% 24.89/16.62 inference(monotonicity,[status(thm)],[14751])).
% 24.89/16.62 tff(14753,plain,
% 24.89/16.62 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB79)) | v113(constB79))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB79) | (~v114(constB79)))),
% 24.89/16.63 inference(transitivity,[status(thm)],[14752, 14750])).
% 24.89/16.63 tff(14754,plain,
% 24.89/16.63 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB79)) | v113(constB79))),
% 24.89/16.63 inference(quant_inst,[status(thm)],[])).
% 24.89/16.63 tff(14755,plain,
% 24.89/16.63 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB79) | (~v114(constB79))),
% 24.89/16.63 inference(modus_ponens,[status(thm)],[14754, 14753])).
% 24.89/16.63 tff(14756,plain,
% 24.89/16.63 (v113(constB79)),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14755, 1036, 14749])).
% 24.89/16.63 tff(14757,assumption,(v26(constB79)), introduced(assumption)).
% 24.89/16.63 tff(14758,plain,
% 24.89/16.63 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB79))),
% 24.89/16.63 inference(quant_inst,[status(thm)],[])).
% 24.89/16.63 tff(14759,plain,
% 24.89/16.63 ($false),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14758, 797, 14757])).
% 24.89/16.63 tff(14760,plain,(~v26(constB79)), inference(lemma,lemma(discharge,[]))).
% 24.89/16.63 tff(14761,plain,
% 24.89/16.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | v112(constB79) | (~v113(constB79)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | v112(constB79) | (~v113(constB79)))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14762,plain,
% 24.89/16.63 ((v26(constB79) | (~v113(constB79)) | v112(constB79)) <=> (v26(constB79) | v112(constB79) | (~v113(constB79)))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14763,plain,
% 24.89/16.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | v112(constB79) | (~v113(constB79))))),
% 24.89/16.63 inference(monotonicity,[status(thm)],[14762])).
% 24.89/16.63 tff(14764,plain,
% 24.89/16.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | v112(constB79) | (~v113(constB79)))),
% 24.89/16.63 inference(transitivity,[status(thm)],[14763, 14761])).
% 24.89/16.63 tff(14765,plain,
% 24.89/16.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))),
% 24.89/16.63 inference(quant_inst,[status(thm)],[])).
% 24.89/16.63 tff(14766,plain,
% 24.89/16.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | v112(constB79) | (~v113(constB79))),
% 24.89/16.63 inference(modus_ponens,[status(thm)],[14765, 14764])).
% 24.89/16.63 tff(14767,plain,
% 24.89/16.63 (v112(constB79) | (~v113(constB79))),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14766, 1050, 14760])).
% 24.89/16.63 tff(14768,plain,
% 24.89/16.63 (v112(constB79)),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14767, 14756])).
% 24.89/16.63 tff(14769,plain,
% 24.89/16.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB79) | (~v112(constB79)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v112(constB79)))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14770,plain,
% 24.89/16.63 (((~v112(constB79)) | v108(constB79)) <=> (v108(constB79) | (~v112(constB79)))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14771,plain,
% 24.89/16.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB79)) | v108(constB79))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB79) | (~v112(constB79))))),
% 24.89/16.63 inference(monotonicity,[status(thm)],[14770])).
% 24.89/16.63 tff(14772,plain,
% 24.89/16.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB79)) | v108(constB79))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v112(constB79)))),
% 24.89/16.63 inference(transitivity,[status(thm)],[14771, 14769])).
% 24.89/16.63 tff(14773,plain,
% 24.89/16.63 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB79)) | v108(constB79))),
% 24.89/16.63 inference(quant_inst,[status(thm)],[])).
% 24.89/16.63 tff(14774,plain,
% 24.89/16.63 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v112(constB79))),
% 24.89/16.63 inference(modus_ponens,[status(thm)],[14773, 14772])).
% 24.89/16.63 tff(14775,plain,
% 24.89/16.63 (v108(constB79)),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14774, 1062, 14768])).
% 24.89/16.63 tff(14776,plain,
% 24.89/16.63 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14777,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_79_1')).
% 24.89/16.63 tff(14778,plain,
% 24.89/16.63 (nextState(constB79, constB80)),
% 24.89/16.63 inference(modus_ponens,[status(thm)],[14777, 14776])).
% 24.89/16.63 tff(14779,plain,
% 24.89/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14780,plain,
% 24.89/16.63 (((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80)) <=> ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14781,plain,
% 24.89/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79))))),
% 24.89/16.63 inference(monotonicity,[status(thm)],[14780])).
% 24.89/16.63 tff(14782,plain,
% 24.89/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 24.89/16.63 inference(transitivity,[status(thm)],[14781, 14779])).
% 24.89/16.63 tff(14783,plain,
% 24.89/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))),
% 24.89/16.63 inference(quant_inst,[status(thm)],[])).
% 24.89/16.63 tff(14784,plain,
% 24.89/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79))),
% 24.89/16.63 inference(modus_ponens,[status(thm)],[14783, 14782])).
% 24.89/16.63 tff(14785,plain,
% 24.89/16.63 (v110(constB80) | (~v108(constB79))),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14784, 1082, 14778])).
% 24.89/16.63 tff(14786,plain,
% 24.89/16.63 (v110(constB80)),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14785, 14775])).
% 24.89/16.63 tff(14787,plain,
% 24.89/16.63 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14788,plain,
% 24.89/16.63 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))),
% 24.89/16.63 inference(quant_inst,[status(thm)],[])).
% 24.89/16.63 tff(14789,plain,
% 24.89/16.63 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80))),
% 24.89/16.63 inference(modus_ponens,[status(thm)],[14788, 14787])).
% 24.89/16.63 tff(14790,plain,
% 24.89/16.63 (~v104(constB80)),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14789, 1100, 14778, 14628])).
% 24.89/16.63 tff(14791,plain,
% 24.89/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14792,plain,
% 24.89/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))),
% 24.89/16.63 inference(quant_inst,[status(thm)],[])).
% 24.89/16.63 tff(14793,plain,
% 24.89/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v102(constB80) | v104(constB80)),
% 24.89/16.63 inference(modus_ponens,[status(thm)],[14792, 14791])).
% 24.89/16.63 tff(14794,plain,
% 24.89/16.63 (v102(constB80) | v104(constB80)),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14793, 1114, 14778])).
% 24.89/16.63 tff(14795,plain,
% 24.89/16.63 (v102(constB80)),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14794, 14790])).
% 24.89/16.63 tff(14796,plain,
% 24.89/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14797,plain,
% 24.89/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))),
% 24.89/16.63 inference(quant_inst,[status(thm)],[])).
% 24.89/16.63 tff(14798,plain,
% 24.89/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80))),
% 24.89/16.63 inference(modus_ponens,[status(thm)],[14797, 14796])).
% 24.89/16.63 tff(14799,plain,
% 24.89/16.63 (v101(constB80) | (~v102(constB80))),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14798, 1129, 14778, 75])).
% 24.89/16.63 tff(14800,plain,
% 24.89/16.63 (v101(constB80)),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14799, 14795])).
% 24.89/16.63 tff(14801,plain,
% 24.89/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14802,plain,
% 24.89/16.63 (((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80)) <=> ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14803,plain,
% 24.89/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80))))),
% 24.89/16.63 inference(monotonicity,[status(thm)],[14802])).
% 24.89/16.63 tff(14804,plain,
% 24.89/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 24.89/16.63 inference(transitivity,[status(thm)],[14803, 14801])).
% 24.89/16.63 tff(14805,plain,
% 24.89/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))),
% 24.89/16.63 inference(quant_inst,[status(thm)],[])).
% 24.89/16.63 tff(14806,plain,
% 24.89/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 24.89/16.63 inference(modus_ponens,[status(thm)],[14805, 14804])).
% 24.89/16.63 tff(14807,plain,
% 24.89/16.63 (v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14806, 1144, 14778])).
% 24.89/16.63 tff(14808,plain,
% 24.89/16.63 (v100(constB80) | (~v110(constB80))),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14807, 14800])).
% 24.89/16.63 tff(14809,plain,
% 24.89/16.63 (v100(constB80)),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14808, 14786])).
% 24.89/16.63 tff(14810,plain,
% 24.89/16.63 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB79)) | (~v130(constB79, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB79)) | (~v130(constB79, bitIndex2)))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14811,plain,
% 24.89/16.63 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB79)) | (~v130(constB79, bitIndex2)))),
% 24.89/16.63 inference(quant_inst,[status(thm)],[])).
% 24.89/16.63 tff(14812,plain,
% 24.89/16.63 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB79)) | (~v130(constB79, bitIndex2))),
% 24.89/16.63 inference(modus_ponens,[status(thm)],[14811, 14810])).
% 24.89/16.63 tff(14813,plain,
% 24.89/16.63 (~v130(constB79, bitIndex2)),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14812, 2406, 14721])).
% 24.89/16.63 tff(14814,plain,
% 24.89/16.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB79, bitIndex2)) | v26(constB79) | v130(constB79, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB79, bitIndex2)) | v26(constB79) | v130(constB79, bitIndex2))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14815,plain,
% 24.89/16.63 ((v26(constB79) | v130(constB79, bitIndex2) | (~v127(constB79, bitIndex2))) <=> ((~v127(constB79, bitIndex2)) | v26(constB79) | v130(constB79, bitIndex2))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14816,plain,
% 24.89/16.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB79) | v130(constB79, bitIndex2) | (~v127(constB79, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB79, bitIndex2)) | v26(constB79) | v130(constB79, bitIndex2)))),
% 24.89/16.63 inference(monotonicity,[status(thm)],[14815])).
% 24.89/16.63 tff(14817,plain,
% 24.89/16.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB79) | v130(constB79, bitIndex2) | (~v127(constB79, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB79, bitIndex2)) | v26(constB79) | v130(constB79, bitIndex2))),
% 24.89/16.63 inference(transitivity,[status(thm)],[14816, 14814])).
% 24.89/16.63 tff(14818,plain,
% 24.89/16.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB79) | v130(constB79, bitIndex2) | (~v127(constB79, bitIndex2)))),
% 24.89/16.63 inference(quant_inst,[status(thm)],[])).
% 24.89/16.63 tff(14819,plain,
% 24.89/16.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB79, bitIndex2)) | v26(constB79) | v130(constB79, bitIndex2)),
% 24.89/16.63 inference(modus_ponens,[status(thm)],[14818, 14817])).
% 24.89/16.63 tff(14820,plain,
% 24.89/16.63 ((~v127(constB79, bitIndex2)) | v130(constB79, bitIndex2)),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14819, 1812, 14760])).
% 24.89/16.63 tff(14821,plain,
% 24.89/16.63 (~v127(constB79, bitIndex2)),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14820, 14813])).
% 24.89/16.63 tff(14822,plain,
% 24.89/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex2) | (~v129(constB80, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex2) | (~v129(constB80, bitIndex2)))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14823,plain,
% 24.89/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex2) | (~v129(constB80, bitIndex2)))),
% 24.89/16.63 inference(quant_inst,[status(thm)],[])).
% 24.89/16.63 tff(14824,plain,
% 24.89/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex2) | (~v129(constB80, bitIndex2))),
% 24.89/16.63 inference(modus_ponens,[status(thm)],[14823, 14822])).
% 24.89/16.63 tff(14825,plain,
% 24.89/16.63 (v127(constB79, bitIndex2) | (~v129(constB80, bitIndex2))),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14824, 1830, 14778])).
% 24.89/16.63 tff(14826,plain,
% 24.89/16.63 (~v129(constB80, bitIndex2)),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14825, 14821])).
% 24.89/16.63 tff(14827,plain,
% 24.89/16.63 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB80, bitIndex2)) | v129(constB80, bitIndex2) | (~v100(constB80)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB80, bitIndex2)) | v129(constB80, bitIndex2) | (~v100(constB80)))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14828,plain,
% 24.89/16.63 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB80, bitIndex2)) | v129(constB80, bitIndex2) | (~v100(constB80)))),
% 24.89/16.63 inference(quant_inst,[status(thm)],[])).
% 24.89/16.63 tff(14829,plain,
% 24.89/16.63 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB80, bitIndex2)) | v129(constB80, bitIndex2) | (~v100(constB80))),
% 24.89/16.63 inference(modus_ponens,[status(thm)],[14828, 14827])).
% 24.89/16.63 tff(14830,plain,
% 24.89/16.63 ((~v90(constB80, bitIndex2)) | (~v100(constB80))),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14829, 1845, 14826])).
% 24.89/16.63 tff(14831,plain,
% 24.89/16.63 (~v90(constB80, bitIndex2)),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14830, 14809])).
% 24.89/16.63 tff(14832,plain,
% 24.89/16.63 ((~v1(constB81)) <=> (~v1(constB81))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14833,axiom,(~v1(constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_81_1_1')).
% 24.89/16.63 tff(14834,plain,
% 24.89/16.63 (~v1(constB81)),
% 24.89/16.63 inference(modus_ponens,[status(thm)],[14833, 14832])).
% 24.89/16.63 tff(14835,plain,
% 24.89/16.63 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14836,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_80_1')).
% 24.89/16.63 tff(14837,plain,
% 24.89/16.63 (nextState(constB80, constB81)),
% 24.89/16.63 inference(modus_ponens,[status(thm)],[14836, 14835])).
% 24.89/16.63 tff(14838,plain,
% 24.89/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14839,plain,
% 24.89/16.63 (((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81)) <=> (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14840,plain,
% 24.89/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81))))),
% 24.89/16.63 inference(monotonicity,[status(thm)],[14839])).
% 24.89/16.63 tff(14841,plain,
% 24.89/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 24.89/16.63 inference(transitivity,[status(thm)],[14840, 14838])).
% 24.89/16.63 tff(14842,plain,
% 24.89/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))),
% 24.89/16.63 inference(quant_inst,[status(thm)],[])).
% 24.89/16.63 tff(14843,plain,
% 24.89/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81))),
% 24.89/16.63 inference(modus_ponens,[status(thm)],[14842, 14841])).
% 24.89/16.63 tff(14844,plain,
% 24.89/16.63 (~v101(constB81)),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14843, 860, 14837, 14834])).
% 24.89/16.63 tff(14845,plain,
% 24.89/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14846,plain,
% 24.89/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))),
% 24.89/16.63 inference(quant_inst,[status(thm)],[])).
% 24.89/16.63 tff(14847,plain,
% 24.89/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81))),
% 24.89/16.63 inference(modus_ponens,[status(thm)],[14846, 14845])).
% 24.89/16.63 tff(14848,plain,
% 24.89/16.63 (v101(constB81) | (~v100(constB81))),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14847, 877, 14837])).
% 24.89/16.63 tff(14849,plain,
% 24.89/16.63 (~v100(constB81)),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14848, 14844])).
% 24.89/16.63 tff(14850,plain,
% 24.89/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex2)))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14851,plain,
% 24.89/16.63 (((~nextState(constB80, constB81)) | v90(constB80, bitIndex2) | v100(constB81) | (~v90(constB81, bitIndex2))) <=> (v90(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex2)))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14852,plain,
% 24.89/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex2) | v100(constB81) | (~v90(constB81, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex2))))),
% 24.89/16.63 inference(monotonicity,[status(thm)],[14851])).
% 24.89/16.63 tff(14853,plain,
% 24.89/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex2) | v100(constB81) | (~v90(constB81, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex2)))),
% 24.89/16.63 inference(transitivity,[status(thm)],[14852, 14850])).
% 24.89/16.63 tff(14854,plain,
% 24.89/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex2) | v100(constB81) | (~v90(constB81, bitIndex2)))),
% 24.89/16.63 inference(quant_inst,[status(thm)],[])).
% 24.89/16.63 tff(14855,plain,
% 24.89/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex2))),
% 24.89/16.63 inference(modus_ponens,[status(thm)],[14854, 14853])).
% 24.89/16.63 tff(14856,plain,
% 24.89/16.63 (v90(constB80, bitIndex2) | v100(constB81) | (~v90(constB81, bitIndex2))),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14855, 892, 14837])).
% 24.89/16.63 tff(14857,plain,
% 24.89/16.63 (v90(constB80, bitIndex2) | (~v90(constB81, bitIndex2))),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14856, 14849])).
% 24.89/16.63 tff(14858,plain,
% 24.89/16.63 (~v90(constB81, bitIndex2)),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14857, 14831])).
% 24.89/16.63 tff(14859,plain,
% 24.89/16.63 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB79)) | v130(constB79, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB79)) | v130(constB79, bitIndex1))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14860,plain,
% 24.89/16.63 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB79)) | v130(constB79, bitIndex1))),
% 24.89/16.63 inference(quant_inst,[status(thm)],[])).
% 24.89/16.63 tff(14861,plain,
% 24.89/16.63 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB79)) | v130(constB79, bitIndex1)),
% 24.89/16.63 inference(modus_ponens,[status(thm)],[14860, 14859])).
% 24.89/16.63 tff(14862,plain,
% 24.89/16.63 (v130(constB79, bitIndex1)),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14861, 2562, 14721])).
% 24.89/16.63 tff(14863,plain,
% 24.89/16.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB79) | (~v130(constB79, bitIndex1)) | v127(constB79, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB79) | (~v130(constB79, bitIndex1)) | v127(constB79, bitIndex1))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14864,plain,
% 24.89/16.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB79) | (~v130(constB79, bitIndex1)) | v127(constB79, bitIndex1))),
% 24.89/16.63 inference(quant_inst,[status(thm)],[])).
% 24.89/16.63 tff(14865,plain,
% 24.89/16.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB79) | (~v130(constB79, bitIndex1)) | v127(constB79, bitIndex1)),
% 24.89/16.63 inference(modus_ponens,[status(thm)],[14864, 14863])).
% 24.89/16.63 tff(14866,plain,
% 24.89/16.63 ((~v130(constB79, bitIndex1)) | v127(constB79, bitIndex1)),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14865, 1553, 14760])).
% 24.89/16.63 tff(14867,plain,
% 24.89/16.63 (v127(constB79, bitIndex1)),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14866, 14862])).
% 24.89/16.63 tff(14868,plain,
% 24.89/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB79, constB80)) | (~v127(constB79, bitIndex1)) | v129(constB80, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB79, constB80)) | (~v127(constB79, bitIndex1)) | v129(constB80, bitIndex1))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14869,plain,
% 24.89/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB79, constB80)) | (~v127(constB79, bitIndex1)) | v129(constB80, bitIndex1))),
% 24.89/16.63 inference(quant_inst,[status(thm)],[])).
% 24.89/16.63 tff(14870,plain,
% 24.89/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB79, constB80)) | (~v127(constB79, bitIndex1)) | v129(constB80, bitIndex1)),
% 24.89/16.63 inference(modus_ponens,[status(thm)],[14869, 14868])).
% 24.89/16.63 tff(14871,plain,
% 24.89/16.63 ((~v127(constB79, bitIndex1)) | v129(constB80, bitIndex1)),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14870, 1568, 14778])).
% 24.89/16.63 tff(14872,plain,
% 24.89/16.63 (v129(constB80, bitIndex1)),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14871, 14867])).
% 24.89/16.63 tff(14873,plain,
% 24.89/16.63 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB80, bitIndex1) | (~v129(constB80, bitIndex1)) | (~v100(constB80)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB80, bitIndex1) | (~v129(constB80, bitIndex1)) | (~v100(constB80)))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14874,plain,
% 24.89/16.63 ((v90(constB80, bitIndex1) | (~v100(constB80)) | (~v129(constB80, bitIndex1))) <=> (v90(constB80, bitIndex1) | (~v129(constB80, bitIndex1)) | (~v100(constB80)))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14875,plain,
% 24.89/16.63 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB80, bitIndex1) | (~v100(constB80)) | (~v129(constB80, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB80, bitIndex1) | (~v129(constB80, bitIndex1)) | (~v100(constB80))))),
% 24.89/16.63 inference(monotonicity,[status(thm)],[14874])).
% 24.89/16.63 tff(14876,plain,
% 24.89/16.63 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB80, bitIndex1) | (~v100(constB80)) | (~v129(constB80, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB80, bitIndex1) | (~v129(constB80, bitIndex1)) | (~v100(constB80)))),
% 24.89/16.63 inference(transitivity,[status(thm)],[14875, 14873])).
% 24.89/16.63 tff(14877,plain,
% 24.89/16.63 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB80, bitIndex1) | (~v100(constB80)) | (~v129(constB80, bitIndex1)))),
% 24.89/16.63 inference(quant_inst,[status(thm)],[])).
% 24.89/16.63 tff(14878,plain,
% 24.89/16.63 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB80, bitIndex1) | (~v129(constB80, bitIndex1)) | (~v100(constB80))),
% 24.89/16.63 inference(modus_ponens,[status(thm)],[14877, 14876])).
% 24.89/16.63 tff(14879,plain,
% 24.89/16.63 (v90(constB80, bitIndex1) | (~v100(constB80))),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14878, 1583, 14872])).
% 24.89/16.63 tff(14880,plain,
% 24.89/16.63 (v90(constB80, bitIndex1)),
% 24.89/16.63 inference(unit_resolution,[status(thm)],[14879, 14809])).
% 24.89/16.63 tff(14881,plain,
% 24.89/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex1))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14882,plain,
% 24.89/16.63 (((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex1)) | v100(constB81) | v90(constB81, bitIndex1)) <=> ((~v90(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex1))),
% 24.89/16.63 inference(rewrite,[status(thm)],[])).
% 24.89/16.63 tff(14883,plain,
% 24.89/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex1)) | v100(constB81) | v90(constB81, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex1)))),
% 24.89/16.63 inference(monotonicity,[status(thm)],[14882])).
% 24.89/16.63 tff(14884,plain,
% 24.89/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex1)) | v100(constB81) | v90(constB81, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex1))),
% 24.89/16.63 inference(transitivity,[status(thm)],[14883, 14881])).
% 24.89/16.63 tff(14885,plain,
% 24.89/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex1)) | v100(constB81) | v90(constB81, bitIndex1))),
% 24.89/16.64 inference(quant_inst,[status(thm)],[])).
% 24.89/16.64 tff(14886,plain,
% 24.89/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex1)),
% 24.89/16.64 inference(modus_ponens,[status(thm)],[14885, 14884])).
% 24.89/16.64 tff(14887,plain,
% 24.89/16.64 ((~v90(constB80, bitIndex1)) | v100(constB81) | v90(constB81, bitIndex1)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14886, 1601, 14837])).
% 24.89/16.64 tff(14888,plain,
% 24.89/16.64 ((~v90(constB80, bitIndex1)) | v90(constB81, bitIndex1)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14887, 14849])).
% 24.89/16.64 tff(14889,plain,
% 24.89/16.64 (v90(constB81, bitIndex1)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14888, 14880])).
% 24.89/16.64 tff(14890,plain,
% 24.89/16.64 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB79)) | v130(constB79, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB79)) | v130(constB79, bitIndex0))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14891,plain,
% 24.89/16.64 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB79)) | v130(constB79, bitIndex0))),
% 24.89/16.64 inference(quant_inst,[status(thm)],[])).
% 24.89/16.64 tff(14892,plain,
% 24.89/16.64 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB79)) | v130(constB79, bitIndex0)),
% 24.89/16.64 inference(modus_ponens,[status(thm)],[14891, 14890])).
% 24.89/16.64 tff(14893,plain,
% 24.89/16.64 (v130(constB79, bitIndex0)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14892, 2600, 14721])).
% 24.89/16.64 tff(14894,plain,
% 24.89/16.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB79) | (~v130(constB79, bitIndex0)) | v127(constB79, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB79) | (~v130(constB79, bitIndex0)) | v127(constB79, bitIndex0))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14895,plain,
% 24.89/16.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB79) | (~v130(constB79, bitIndex0)) | v127(constB79, bitIndex0))),
% 24.89/16.64 inference(quant_inst,[status(thm)],[])).
% 24.89/16.64 tff(14896,plain,
% 24.89/16.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB79) | (~v130(constB79, bitIndex0)) | v127(constB79, bitIndex0)),
% 24.89/16.64 inference(modus_ponens,[status(thm)],[14895, 14894])).
% 24.89/16.64 tff(14897,plain,
% 24.89/16.64 ((~v130(constB79, bitIndex0)) | v127(constB79, bitIndex0)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14896, 1945, 14760])).
% 24.89/16.64 tff(14898,plain,
% 24.89/16.64 (v127(constB79, bitIndex0)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14897, 14893])).
% 24.89/16.64 tff(14899,plain,
% 24.89/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB79, constB80)) | (~v127(constB79, bitIndex0)) | v129(constB80, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB79, constB80)) | (~v127(constB79, bitIndex0)) | v129(constB80, bitIndex0))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14900,plain,
% 24.89/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB79, constB80)) | (~v127(constB79, bitIndex0)) | v129(constB80, bitIndex0))),
% 24.89/16.64 inference(quant_inst,[status(thm)],[])).
% 24.89/16.64 tff(14901,plain,
% 24.89/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB79, constB80)) | (~v127(constB79, bitIndex0)) | v129(constB80, bitIndex0)),
% 24.89/16.64 inference(modus_ponens,[status(thm)],[14900, 14899])).
% 24.89/16.64 tff(14902,plain,
% 24.89/16.64 ((~v127(constB79, bitIndex0)) | v129(constB80, bitIndex0)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14901, 1960, 14778])).
% 24.89/16.64 tff(14903,plain,
% 24.89/16.64 (v129(constB80, bitIndex0)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14902, 14898])).
% 24.89/16.64 tff(14904,plain,
% 24.89/16.64 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~v129(constB80, bitIndex0)) | (~v100(constB80)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB80, bitIndex0) | (~v129(constB80, bitIndex0)) | (~v100(constB80)))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14905,plain,
% 24.89/16.64 ((v90(constB80, bitIndex0) | (~v100(constB80)) | (~v129(constB80, bitIndex0))) <=> (v90(constB80, bitIndex0) | (~v129(constB80, bitIndex0)) | (~v100(constB80)))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14906,plain,
% 24.89/16.64 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~v100(constB80)) | (~v129(constB80, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~v129(constB80, bitIndex0)) | (~v100(constB80))))),
% 24.89/16.64 inference(monotonicity,[status(thm)],[14905])).
% 24.89/16.64 tff(14907,plain,
% 24.89/16.64 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~v100(constB80)) | (~v129(constB80, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB80, bitIndex0) | (~v129(constB80, bitIndex0)) | (~v100(constB80)))),
% 24.89/16.64 inference(transitivity,[status(thm)],[14906, 14904])).
% 24.89/16.64 tff(14908,plain,
% 24.89/16.64 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~v100(constB80)) | (~v129(constB80, bitIndex0)))),
% 24.89/16.64 inference(quant_inst,[status(thm)],[])).
% 24.89/16.64 tff(14909,plain,
% 24.89/16.64 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB80, bitIndex0) | (~v129(constB80, bitIndex0)) | (~v100(constB80))),
% 24.89/16.64 inference(modus_ponens,[status(thm)],[14908, 14907])).
% 24.89/16.64 tff(14910,plain,
% 24.89/16.64 (v90(constB80, bitIndex0) | (~v100(constB80))),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14909, 1975, 14903])).
% 24.89/16.64 tff(14911,plain,
% 24.89/16.64 (v90(constB80, bitIndex0)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14910, 14809])).
% 24.89/16.64 tff(14912,plain,
% 24.89/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex0))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14913,plain,
% 24.89/16.64 (((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex0)) | v100(constB81) | v90(constB81, bitIndex0)) <=> ((~v90(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex0))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14914,plain,
% 24.89/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex0)) | v100(constB81) | v90(constB81, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex0)))),
% 24.89/16.64 inference(monotonicity,[status(thm)],[14913])).
% 24.89/16.64 tff(14915,plain,
% 24.89/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex0)) | v100(constB81) | v90(constB81, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex0))),
% 24.89/16.64 inference(transitivity,[status(thm)],[14914, 14912])).
% 24.89/16.64 tff(14916,plain,
% 24.89/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex0)) | v100(constB81) | v90(constB81, bitIndex0))),
% 24.89/16.64 inference(quant_inst,[status(thm)],[])).
% 24.89/16.64 tff(14917,plain,
% 24.89/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex0)),
% 24.89/16.64 inference(modus_ponens,[status(thm)],[14916, 14915])).
% 24.89/16.64 tff(14918,plain,
% 24.89/16.64 ((~v90(constB80, bitIndex0)) | v100(constB81) | v90(constB81, bitIndex0)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14917, 1993, 14837])).
% 24.89/16.64 tff(14919,plain,
% 24.89/16.64 ((~v90(constB80, bitIndex0)) | v90(constB81, bitIndex0)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14918, 14849])).
% 24.89/16.64 tff(14920,plain,
% 24.89/16.64 (v90(constB81, bitIndex0)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14919, 14911])).
% 24.89/16.64 tff(14921,plain,
% 24.89/16.64 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB81, bitIndex0)) | (~v90(constB81, bitIndex1)) | v90(constB81, bitIndex2) | v122(constB81))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB81, bitIndex0)) | (~v90(constB81, bitIndex1)) | v90(constB81, bitIndex2) | v122(constB81))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14922,plain,
% 24.89/16.64 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB81, bitIndex0)) | (~v90(constB81, bitIndex1)) | v90(constB81, bitIndex2) | v122(constB81))),
% 24.89/16.64 inference(quant_inst,[status(thm)],[])).
% 24.89/16.64 tff(14923,plain,
% 24.89/16.64 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB81, bitIndex0)) | (~v90(constB81, bitIndex1)) | v90(constB81, bitIndex2) | v122(constB81)),
% 24.89/16.64 inference(modus_ponens,[status(thm)],[14922, 14921])).
% 24.89/16.64 tff(14924,plain,
% 24.89/16.64 (v122(constB81)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14923, 2641, 14920, 14889, 14858])).
% 24.89/16.64 tff(14925,plain,
% 24.89/16.64 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB81) | (~v122(constB81)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB81) | (~v122(constB81)))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14926,plain,
% 24.89/16.64 (((~v122(constB81)) | v116(constB81)) <=> (v116(constB81) | (~v122(constB81)))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14927,plain,
% 24.89/16.64 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB81)) | v116(constB81))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB81) | (~v122(constB81))))),
% 24.89/16.64 inference(monotonicity,[status(thm)],[14926])).
% 24.89/16.64 tff(14928,plain,
% 24.89/16.64 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB81)) | v116(constB81))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB81) | (~v122(constB81)))),
% 24.89/16.64 inference(transitivity,[status(thm)],[14927, 14925])).
% 24.89/16.64 tff(14929,plain,
% 24.89/16.64 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB81)) | v116(constB81))),
% 24.89/16.64 inference(quant_inst,[status(thm)],[])).
% 24.89/16.64 tff(14930,plain,
% 24.89/16.64 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB81) | (~v122(constB81))),
% 24.89/16.64 inference(modus_ponens,[status(thm)],[14929, 14928])).
% 24.89/16.64 tff(14931,plain,
% 24.89/16.64 (v116(constB81)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14930, 2652, 14924])).
% 24.89/16.64 tff(14932,plain,
% 24.89/16.64 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB81) | (~v116(constB81)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB81) | (~v116(constB81)))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14933,plain,
% 24.89/16.64 (((~v116(constB81)) | v115(constB81)) <=> (v115(constB81) | (~v116(constB81)))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14934,plain,
% 24.89/16.64 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB81)) | v115(constB81))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB81) | (~v116(constB81))))),
% 24.89/16.64 inference(monotonicity,[status(thm)],[14933])).
% 24.89/16.64 tff(14935,plain,
% 24.89/16.64 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB81)) | v115(constB81))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB81) | (~v116(constB81)))),
% 24.89/16.64 inference(transitivity,[status(thm)],[14934, 14932])).
% 24.89/16.64 tff(14936,plain,
% 24.89/16.64 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB81)) | v115(constB81))),
% 24.89/16.64 inference(quant_inst,[status(thm)],[])).
% 24.89/16.64 tff(14937,plain,
% 24.89/16.64 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB81) | (~v116(constB81))),
% 24.89/16.64 inference(modus_ponens,[status(thm)],[14936, 14935])).
% 24.89/16.64 tff(14938,plain,
% 24.89/16.64 (v115(constB81)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14937, 1008, 14931])).
% 24.89/16.64 tff(14939,plain,
% 24.89/16.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB81) | (~v115(constB81)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB81) | (~v115(constB81)))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14940,plain,
% 24.89/16.64 (((~v115(constB81)) | v114(constB81)) <=> (v114(constB81) | (~v115(constB81)))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14941,plain,
% 24.89/16.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB81)) | v114(constB81))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB81) | (~v115(constB81))))),
% 24.89/16.64 inference(monotonicity,[status(thm)],[14940])).
% 24.89/16.64 tff(14942,plain,
% 24.89/16.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB81)) | v114(constB81))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB81) | (~v115(constB81)))),
% 24.89/16.64 inference(transitivity,[status(thm)],[14941, 14939])).
% 24.89/16.64 tff(14943,plain,
% 24.89/16.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB81)) | v114(constB81))),
% 24.89/16.64 inference(quant_inst,[status(thm)],[])).
% 24.89/16.64 tff(14944,plain,
% 24.89/16.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB81) | (~v115(constB81))),
% 24.89/16.64 inference(modus_ponens,[status(thm)],[14943, 14942])).
% 24.89/16.64 tff(14945,plain,
% 24.89/16.64 (v114(constB81)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14944, 1022, 14938])).
% 24.89/16.64 tff(14946,plain,
% 24.89/16.64 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB81) | (~v114(constB81)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB81) | (~v114(constB81)))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14947,plain,
% 24.89/16.64 (((~v114(constB81)) | v113(constB81)) <=> (v113(constB81) | (~v114(constB81)))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14948,plain,
% 24.89/16.64 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB81)) | v113(constB81))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB81) | (~v114(constB81))))),
% 24.89/16.64 inference(monotonicity,[status(thm)],[14947])).
% 24.89/16.64 tff(14949,plain,
% 24.89/16.64 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB81)) | v113(constB81))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB81) | (~v114(constB81)))),
% 24.89/16.64 inference(transitivity,[status(thm)],[14948, 14946])).
% 24.89/16.64 tff(14950,plain,
% 24.89/16.64 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB81)) | v113(constB81))),
% 24.89/16.64 inference(quant_inst,[status(thm)],[])).
% 24.89/16.64 tff(14951,plain,
% 24.89/16.64 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB81) | (~v114(constB81))),
% 24.89/16.64 inference(modus_ponens,[status(thm)],[14950, 14949])).
% 24.89/16.64 tff(14952,plain,
% 24.89/16.64 (v113(constB81)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14951, 1036, 14945])).
% 24.89/16.64 tff(14953,assumption,(v26(constB81)), introduced(assumption)).
% 24.89/16.64 tff(14954,plain,
% 24.89/16.64 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB81))),
% 24.89/16.64 inference(quant_inst,[status(thm)],[])).
% 24.89/16.64 tff(14955,plain,
% 24.89/16.64 ($false),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14954, 797, 14953])).
% 24.89/16.64 tff(14956,plain,(~v26(constB81)), inference(lemma,lemma(discharge,[]))).
% 24.89/16.64 tff(14957,plain,
% 24.89/16.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | (~v113(constB81)) | v112(constB81))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14958,plain,
% 24.89/16.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))),
% 24.89/16.64 inference(quant_inst,[status(thm)],[])).
% 24.89/16.64 tff(14959,plain,
% 24.89/16.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | (~v113(constB81)) | v112(constB81)),
% 24.89/16.64 inference(modus_ponens,[status(thm)],[14958, 14957])).
% 24.89/16.64 tff(14960,plain,
% 24.89/16.64 ((~v113(constB81)) | v112(constB81)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14959, 1050, 14956])).
% 24.89/16.64 tff(14961,plain,
% 24.89/16.64 (v112(constB81)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14960, 14952])).
% 24.89/16.64 tff(14962,plain,
% 24.89/16.64 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB81) | (~v112(constB81)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB81) | (~v112(constB81)))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14963,plain,
% 24.89/16.64 (((~v112(constB81)) | v108(constB81)) <=> (v108(constB81) | (~v112(constB81)))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14964,plain,
% 24.89/16.64 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB81)) | v108(constB81))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB81) | (~v112(constB81))))),
% 24.89/16.64 inference(monotonicity,[status(thm)],[14963])).
% 24.89/16.64 tff(14965,plain,
% 24.89/16.64 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB81)) | v108(constB81))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB81) | (~v112(constB81)))),
% 24.89/16.64 inference(transitivity,[status(thm)],[14964, 14962])).
% 24.89/16.64 tff(14966,plain,
% 24.89/16.64 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB81)) | v108(constB81))),
% 24.89/16.64 inference(quant_inst,[status(thm)],[])).
% 24.89/16.64 tff(14967,plain,
% 24.89/16.64 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB81) | (~v112(constB81))),
% 24.89/16.64 inference(modus_ponens,[status(thm)],[14966, 14965])).
% 24.89/16.64 tff(14968,plain,
% 24.89/16.64 (v108(constB81)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14967, 1062, 14961])).
% 24.89/16.64 tff(14969,plain,
% 24.89/16.64 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14970,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_81_1')).
% 24.89/16.64 tff(14971,plain,
% 24.89/16.64 (nextState(constB81, constB82)),
% 24.89/16.64 inference(modus_ponens,[status(thm)],[14970, 14969])).
% 24.89/16.64 tff(14972,plain,
% 24.89/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14973,plain,
% 24.89/16.64 (((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82)) <=> ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14974,plain,
% 24.89/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81))))),
% 24.89/16.64 inference(monotonicity,[status(thm)],[14973])).
% 24.89/16.64 tff(14975,plain,
% 24.89/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 24.89/16.64 inference(transitivity,[status(thm)],[14974, 14972])).
% 24.89/16.64 tff(14976,plain,
% 24.89/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))),
% 24.89/16.64 inference(quant_inst,[status(thm)],[])).
% 24.89/16.64 tff(14977,plain,
% 24.89/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81))),
% 24.89/16.64 inference(modus_ponens,[status(thm)],[14976, 14975])).
% 24.89/16.64 tff(14978,plain,
% 24.89/16.64 (v110(constB82) | (~v108(constB81))),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14977, 1082, 14971])).
% 24.89/16.64 tff(14979,plain,
% 24.89/16.64 (v110(constB82)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14978, 14968])).
% 24.89/16.64 tff(14980,plain,
% 24.89/16.64 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14981,plain,
% 24.89/16.64 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))),
% 24.89/16.64 inference(quant_inst,[status(thm)],[])).
% 24.89/16.64 tff(14982,plain,
% 24.89/16.64 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82))),
% 24.89/16.64 inference(modus_ponens,[status(thm)],[14981, 14980])).
% 24.89/16.64 tff(14983,plain,
% 24.89/16.64 (~v104(constB82)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14982, 1100, 14971, 14834])).
% 24.89/16.64 tff(14984,plain,
% 24.89/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14985,plain,
% 24.89/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))),
% 24.89/16.64 inference(quant_inst,[status(thm)],[])).
% 24.89/16.64 tff(14986,plain,
% 24.89/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v102(constB82) | v104(constB82)),
% 24.89/16.64 inference(modus_ponens,[status(thm)],[14985, 14984])).
% 24.89/16.64 tff(14987,plain,
% 24.89/16.64 (v102(constB82) | v104(constB82)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14986, 1114, 14971])).
% 24.89/16.64 tff(14988,plain,
% 24.89/16.64 (v102(constB82)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14987, 14983])).
% 24.89/16.64 tff(14989,plain,
% 24.89/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14990,plain,
% 24.89/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))),
% 24.89/16.64 inference(quant_inst,[status(thm)],[])).
% 24.89/16.64 tff(14991,plain,
% 24.89/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82))),
% 24.89/16.64 inference(modus_ponens,[status(thm)],[14990, 14989])).
% 24.89/16.64 tff(14992,plain,
% 24.89/16.64 (v101(constB82) | (~v102(constB82))),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14991, 1129, 14971, 42])).
% 24.89/16.64 tff(14993,plain,
% 24.89/16.64 (v101(constB82)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14992, 14988])).
% 24.89/16.64 tff(14994,plain,
% 24.89/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14995,plain,
% 24.89/16.64 (((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82)) <=> ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(14996,plain,
% 24.89/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82))))),
% 24.89/16.64 inference(monotonicity,[status(thm)],[14995])).
% 24.89/16.64 tff(14997,plain,
% 24.89/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 24.89/16.64 inference(transitivity,[status(thm)],[14996, 14994])).
% 24.89/16.64 tff(14998,plain,
% 24.89/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))),
% 24.89/16.64 inference(quant_inst,[status(thm)],[])).
% 24.89/16.64 tff(14999,plain,
% 24.89/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 24.89/16.64 inference(modus_ponens,[status(thm)],[14998, 14997])).
% 24.89/16.64 tff(15000,plain,
% 24.89/16.64 (v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[14999, 1144, 14971])).
% 24.89/16.64 tff(15001,plain,
% 24.89/16.64 (v100(constB82) | (~v110(constB82))),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[15000, 14993])).
% 24.89/16.64 tff(15002,plain,
% 24.89/16.64 (v100(constB82)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[15001, 14979])).
% 24.89/16.64 tff(15003,plain,
% 24.89/16.64 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB81)) | v130(constB81, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB81)) | v130(constB81, bitIndex2))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(15004,plain,
% 24.89/16.64 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB81)) | v130(constB81, bitIndex2))),
% 24.89/16.64 inference(quant_inst,[status(thm)],[])).
% 24.89/16.64 tff(15005,plain,
% 24.89/16.64 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB81)) | v130(constB81, bitIndex2)),
% 24.89/16.64 inference(modus_ponens,[status(thm)],[15004, 15003])).
% 24.89/16.64 tff(15006,plain,
% 24.89/16.64 (v130(constB81, bitIndex2)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[15005, 2736, 14924])).
% 24.89/16.64 tff(15007,plain,
% 24.89/16.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(15008,plain,
% 24.89/16.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2))),
% 24.89/16.64 inference(quant_inst,[status(thm)],[])).
% 24.89/16.64 tff(15009,plain,
% 24.89/16.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2)),
% 24.89/16.64 inference(modus_ponens,[status(thm)],[15008, 15007])).
% 24.89/16.64 tff(15010,plain,
% 24.89/16.64 ((~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[15009, 1174, 14956])).
% 24.89/16.64 tff(15011,plain,
% 24.89/16.64 (v127(constB81, bitIndex2)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[15010, 15006])).
% 24.89/16.64 tff(15012,plain,
% 24.89/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(15013,plain,
% 24.89/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2))),
% 24.89/16.64 inference(quant_inst,[status(thm)],[])).
% 24.89/16.64 tff(15014,plain,
% 24.89/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2)),
% 24.89/16.64 inference(modus_ponens,[status(thm)],[15013, 15012])).
% 24.89/16.64 tff(15015,plain,
% 24.89/16.64 ((~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[15014, 1189, 14971])).
% 24.89/16.64 tff(15016,plain,
% 24.89/16.64 (v129(constB82, bitIndex2)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[15015, 15011])).
% 24.89/16.64 tff(15017,plain,
% 24.89/16.64 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(15018,plain,
% 24.89/16.64 ((v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2))) <=> (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(15019,plain,
% 24.89/16.64 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82))))),
% 24.89/16.64 inference(monotonicity,[status(thm)],[15018])).
% 24.89/16.64 tff(15020,plain,
% 24.89/16.64 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))),
% 24.89/16.64 inference(transitivity,[status(thm)],[15019, 15017])).
% 24.89/16.64 tff(15021,plain,
% 24.89/16.64 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2)))),
% 24.89/16.64 inference(quant_inst,[status(thm)],[])).
% 24.89/16.64 tff(15022,plain,
% 24.89/16.64 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82))),
% 24.89/16.64 inference(modus_ponens,[status(thm)],[15021, 15020])).
% 24.89/16.64 tff(15023,plain,
% 24.89/16.64 (v90(constB82, bitIndex2) | (~v100(constB82))),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[15022, 1204, 15016])).
% 24.89/16.64 tff(15024,plain,
% 24.89/16.64 (v90(constB82, bitIndex2)),
% 24.89/16.64 inference(unit_resolution,[status(thm)],[15023, 15002])).
% 24.89/16.64 tff(15025,plain,
% 24.89/16.64 ((~v1(constB83)) <=> (~v1(constB83))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(15026,axiom,(~v1(constB83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_83_1_1')).
% 24.89/16.64 tff(15027,plain,
% 24.89/16.64 (~v1(constB83)),
% 24.89/16.64 inference(modus_ponens,[status(thm)],[15026, 15025])).
% 24.89/16.64 tff(15028,plain,
% 24.89/16.64 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(15029,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_82_1')).
% 24.89/16.64 tff(15030,plain,
% 24.89/16.64 (nextState(constB82, constB83)),
% 24.89/16.64 inference(modus_ponens,[status(thm)],[15029, 15028])).
% 24.89/16.64 tff(15031,plain,
% 24.89/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(15032,plain,
% 24.89/16.64 (((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83)) <=> (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 24.89/16.64 inference(rewrite,[status(thm)],[])).
% 24.89/16.64 tff(15033,plain,
% 24.89/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83))))),
% 24.89/16.64 inference(monotonicity,[status(thm)],[15032])).
% 24.89/16.64 tff(15034,plain,
% 24.89/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 24.89/16.65 inference(transitivity,[status(thm)],[15033, 15031])).
% 24.89/16.65 tff(15035,plain,
% 24.89/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))),
% 24.89/16.65 inference(quant_inst,[status(thm)],[])).
% 24.89/16.65 tff(15036,plain,
% 24.89/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83))),
% 24.89/16.65 inference(modus_ponens,[status(thm)],[15035, 15034])).
% 24.89/16.65 tff(15037,plain,
% 24.89/16.65 (~v101(constB83)),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15036, 860, 15030, 15027])).
% 24.89/16.65 tff(15038,plain,
% 24.89/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))),
% 24.89/16.65 inference(rewrite,[status(thm)],[])).
% 24.89/16.65 tff(15039,plain,
% 24.89/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))),
% 24.89/16.65 inference(quant_inst,[status(thm)],[])).
% 24.89/16.65 tff(15040,plain,
% 24.89/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83))),
% 24.89/16.65 inference(modus_ponens,[status(thm)],[15039, 15038])).
% 24.89/16.65 tff(15041,plain,
% 24.89/16.65 (v101(constB83) | (~v100(constB83))),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15040, 877, 15030])).
% 24.89/16.65 tff(15042,plain,
% 24.89/16.65 (~v100(constB83)),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15041, 15037])).
% 24.89/16.65 tff(15043,plain,
% 24.89/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))),
% 24.89/16.65 inference(rewrite,[status(thm)],[])).
% 24.89/16.65 tff(15044,plain,
% 24.89/16.65 (((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2)) <=> ((~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))),
% 24.89/16.65 inference(rewrite,[status(thm)],[])).
% 24.89/16.65 tff(15045,plain,
% 24.89/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2)))),
% 24.89/16.65 inference(monotonicity,[status(thm)],[15044])).
% 24.89/16.65 tff(15046,plain,
% 24.89/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))),
% 24.89/16.65 inference(transitivity,[status(thm)],[15045, 15043])).
% 24.89/16.65 tff(15047,plain,
% 24.89/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2))),
% 24.89/16.65 inference(quant_inst,[status(thm)],[])).
% 24.89/16.65 tff(15048,plain,
% 24.89/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2)),
% 24.89/16.65 inference(modus_ponens,[status(thm)],[15047, 15046])).
% 24.89/16.65 tff(15049,plain,
% 24.89/16.65 ((~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2)),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15048, 1240, 15030])).
% 24.89/16.65 tff(15050,plain,
% 24.89/16.65 ((~v90(constB82, bitIndex2)) | v90(constB83, bitIndex2)),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15049, 15042])).
% 24.89/16.65 tff(15051,plain,
% 24.89/16.65 (v90(constB83, bitIndex2)),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15050, 15024])).
% 24.89/16.65 tff(15052,plain,
% 24.89/16.65 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB81)) | (~v130(constB81, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB81)) | (~v130(constB81, bitIndex1)))),
% 24.89/16.65 inference(rewrite,[status(thm)],[])).
% 24.89/16.65 tff(15053,plain,
% 24.89/16.65 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB81)) | (~v130(constB81, bitIndex1)))),
% 24.89/16.65 inference(quant_inst,[status(thm)],[])).
% 24.89/16.65 tff(15054,plain,
% 24.89/16.65 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB81)) | (~v130(constB81, bitIndex1))),
% 24.89/16.65 inference(modus_ponens,[status(thm)],[15053, 15052])).
% 24.89/16.65 tff(15055,plain,
% 24.89/16.65 (~v130(constB81, bitIndex1)),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15054, 2792, 14924])).
% 24.89/16.65 tff(15056,plain,
% 24.89/16.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))),
% 24.89/16.65 inference(rewrite,[status(thm)],[])).
% 24.89/16.65 tff(15057,plain,
% 24.89/16.65 ((v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1))) <=> ((~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))),
% 24.89/16.65 inference(rewrite,[status(thm)],[])).
% 24.89/16.65 tff(15058,plain,
% 24.89/16.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1)))),
% 24.89/16.65 inference(monotonicity,[status(thm)],[15057])).
% 24.89/16.65 tff(15059,plain,
% 24.89/16.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))),
% 24.89/16.65 inference(transitivity,[status(thm)],[15058, 15056])).
% 24.89/16.65 tff(15060,plain,
% 24.89/16.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1)))),
% 24.89/16.65 inference(quant_inst,[status(thm)],[])).
% 24.89/16.65 tff(15061,plain,
% 24.89/16.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1)),
% 24.89/16.65 inference(modus_ponens,[status(thm)],[15060, 15059])).
% 24.89/16.65 tff(15062,plain,
% 24.89/16.65 ((~v127(constB81, bitIndex1)) | v130(constB81, bitIndex1)),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15061, 1270, 14956])).
% 24.89/16.65 tff(15063,plain,
% 24.89/16.65 (~v127(constB81, bitIndex1)),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15062, 15055])).
% 24.89/16.65 tff(15064,plain,
% 24.89/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1)))),
% 24.89/16.65 inference(rewrite,[status(thm)],[])).
% 24.89/16.65 tff(15065,plain,
% 24.89/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1)))),
% 24.89/16.65 inference(quant_inst,[status(thm)],[])).
% 24.89/16.65 tff(15066,plain,
% 24.89/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1))),
% 24.89/16.65 inference(modus_ponens,[status(thm)],[15065, 15064])).
% 24.89/16.65 tff(15067,plain,
% 24.89/16.65 (v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1))),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15066, 1288, 14971])).
% 24.89/16.65 tff(15068,plain,
% 24.89/16.65 (~v129(constB82, bitIndex1)),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15067, 15063])).
% 24.89/16.65 tff(15069,plain,
% 24.89/16.65 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))),
% 24.89/16.65 inference(rewrite,[status(thm)],[])).
% 24.89/16.65 tff(15070,plain,
% 24.89/16.65 (((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1)) <=> ((~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))),
% 24.89/16.65 inference(rewrite,[status(thm)],[])).
% 24.89/16.65 tff(15071,plain,
% 24.89/16.65 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82))))),
% 24.89/16.65 inference(monotonicity,[status(thm)],[15070])).
% 24.89/16.65 tff(15072,plain,
% 24.89/16.65 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))),
% 24.89/16.65 inference(transitivity,[status(thm)],[15071, 15069])).
% 24.89/16.65 tff(15073,plain,
% 24.89/16.65 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1))),
% 24.89/16.65 inference(quant_inst,[status(thm)],[])).
% 24.89/16.65 tff(15074,plain,
% 24.89/16.65 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82))),
% 24.89/16.65 inference(modus_ponens,[status(thm)],[15073, 15072])).
% 24.89/16.65 tff(15075,plain,
% 24.89/16.65 ((~v90(constB82, bitIndex1)) | (~v100(constB82))),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15074, 1303, 15068])).
% 24.89/16.65 tff(15076,plain,
% 24.89/16.65 (~v90(constB82, bitIndex1)),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15075, 15002])).
% 24.89/16.65 tff(15077,plain,
% 24.89/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 24.89/16.65 inference(rewrite,[status(thm)],[])).
% 24.89/16.65 tff(15078,plain,
% 24.89/16.65 (((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1))) <=> (v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 24.89/16.65 inference(rewrite,[status(thm)],[])).
% 24.89/16.65 tff(15079,plain,
% 24.89/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1))))),
% 24.89/16.65 inference(monotonicity,[status(thm)],[15078])).
% 24.89/16.65 tff(15080,plain,
% 24.89/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 24.89/16.65 inference(transitivity,[status(thm)],[15079, 15077])).
% 24.89/16.65 tff(15081,plain,
% 24.89/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 24.89/16.65 inference(quant_inst,[status(thm)],[])).
% 24.89/16.65 tff(15082,plain,
% 24.89/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1))),
% 24.89/16.65 inference(modus_ponens,[status(thm)],[15081, 15080])).
% 24.89/16.65 tff(15083,plain,
% 24.89/16.65 (v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1))),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15082, 913, 15030])).
% 24.89/16.65 tff(15084,plain,
% 24.89/16.65 (v90(constB82, bitIndex1) | (~v90(constB83, bitIndex1))),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15083, 15042])).
% 24.89/16.65 tff(15085,plain,
% 24.89/16.65 (~v90(constB83, bitIndex1)),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15084, 15076])).
% 24.89/16.65 tff(15086,plain,
% 24.89/16.65 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB81)) | (~v130(constB81, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB81)) | (~v130(constB81, bitIndex0)))),
% 24.89/16.65 inference(rewrite,[status(thm)],[])).
% 24.89/16.65 tff(15087,plain,
% 24.89/16.65 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB81)) | (~v130(constB81, bitIndex0)))),
% 24.89/16.65 inference(quant_inst,[status(thm)],[])).
% 24.89/16.65 tff(15088,plain,
% 24.89/16.65 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB81)) | (~v130(constB81, bitIndex0))),
% 24.89/16.65 inference(modus_ponens,[status(thm)],[15087, 15086])).
% 24.89/16.65 tff(15089,plain,
% 24.89/16.65 (~v130(constB81, bitIndex0)),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15088, 2833, 14924])).
% 24.89/16.65 tff(15090,plain,
% 24.89/16.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB81, bitIndex0)) | v26(constB81) | v130(constB81, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB81, bitIndex0)) | v26(constB81) | v130(constB81, bitIndex0))),
% 24.89/16.65 inference(rewrite,[status(thm)],[])).
% 24.89/16.65 tff(15091,plain,
% 24.89/16.65 ((v26(constB81) | v130(constB81, bitIndex0) | (~v127(constB81, bitIndex0))) <=> ((~v127(constB81, bitIndex0)) | v26(constB81) | v130(constB81, bitIndex0))),
% 24.89/16.65 inference(rewrite,[status(thm)],[])).
% 24.89/16.65 tff(15092,plain,
% 24.89/16.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB81) | v130(constB81, bitIndex0) | (~v127(constB81, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB81, bitIndex0)) | v26(constB81) | v130(constB81, bitIndex0)))),
% 24.89/16.65 inference(monotonicity,[status(thm)],[15091])).
% 24.89/16.65 tff(15093,plain,
% 24.89/16.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB81) | v130(constB81, bitIndex0) | (~v127(constB81, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB81, bitIndex0)) | v26(constB81) | v130(constB81, bitIndex0))),
% 24.89/16.65 inference(transitivity,[status(thm)],[15092, 15090])).
% 24.89/16.65 tff(15094,plain,
% 24.89/16.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB81) | v130(constB81, bitIndex0) | (~v127(constB81, bitIndex0)))),
% 24.89/16.65 inference(quant_inst,[status(thm)],[])).
% 24.89/16.65 tff(15095,plain,
% 24.89/16.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB81, bitIndex0)) | v26(constB81) | v130(constB81, bitIndex0)),
% 24.89/16.65 inference(modus_ponens,[status(thm)],[15094, 15093])).
% 24.89/16.65 tff(15096,plain,
% 24.89/16.65 ((~v127(constB81, bitIndex0)) | v130(constB81, bitIndex0)),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15095, 1341, 14956])).
% 24.89/16.65 tff(15097,plain,
% 24.89/16.65 (~v127(constB81, bitIndex0)),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15096, 15089])).
% 24.89/16.65 tff(15098,plain,
% 24.89/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB81, constB82)) | v127(constB81, bitIndex0) | (~v129(constB82, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB81, constB82)) | v127(constB81, bitIndex0) | (~v129(constB82, bitIndex0)))),
% 24.89/16.65 inference(rewrite,[status(thm)],[])).
% 24.89/16.65 tff(15099,plain,
% 24.89/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB81, constB82)) | v127(constB81, bitIndex0) | (~v129(constB82, bitIndex0)))),
% 24.89/16.65 inference(quant_inst,[status(thm)],[])).
% 24.89/16.65 tff(15100,plain,
% 24.89/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB81, constB82)) | v127(constB81, bitIndex0) | (~v129(constB82, bitIndex0))),
% 24.89/16.65 inference(modus_ponens,[status(thm)],[15099, 15098])).
% 24.89/16.65 tff(15101,plain,
% 24.89/16.65 (v127(constB81, bitIndex0) | (~v129(constB82, bitIndex0))),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15100, 1359, 14971])).
% 24.89/16.65 tff(15102,plain,
% 24.89/16.65 (~v129(constB82, bitIndex0)),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15101, 15097])).
% 24.89/16.65 tff(15103,plain,
% 24.89/16.65 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82)))),
% 24.89/16.65 inference(rewrite,[status(thm)],[])).
% 24.89/16.65 tff(15104,plain,
% 24.89/16.65 (((~v90(constB82, bitIndex0)) | (~v100(constB82)) | v129(constB82, bitIndex0)) <=> ((~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82)))),
% 24.89/16.65 inference(rewrite,[status(thm)],[])).
% 24.89/16.65 tff(15105,plain,
% 24.89/16.65 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | (~v100(constB82)) | v129(constB82, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82))))),
% 24.89/16.65 inference(monotonicity,[status(thm)],[15104])).
% 24.89/16.65 tff(15106,plain,
% 24.89/16.65 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | (~v100(constB82)) | v129(constB82, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82)))),
% 24.89/16.65 inference(transitivity,[status(thm)],[15105, 15103])).
% 24.89/16.65 tff(15107,plain,
% 24.89/16.65 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | (~v100(constB82)) | v129(constB82, bitIndex0))),
% 24.89/16.65 inference(quant_inst,[status(thm)],[])).
% 24.89/16.65 tff(15108,plain,
% 24.89/16.65 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82))),
% 24.89/16.65 inference(modus_ponens,[status(thm)],[15107, 15106])).
% 24.89/16.65 tff(15109,plain,
% 24.89/16.65 ((~v90(constB82, bitIndex0)) | (~v100(constB82))),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15108, 1374, 15102])).
% 24.89/16.65 tff(15110,plain,
% 24.89/16.65 (~v90(constB82, bitIndex0)),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15109, 15002])).
% 24.89/16.65 tff(15111,plain,
% 24.89/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex0)))),
% 24.89/16.65 inference(rewrite,[status(thm)],[])).
% 24.89/16.65 tff(15112,plain,
% 24.89/16.65 (((~nextState(constB82, constB83)) | v90(constB82, bitIndex0) | v100(constB83) | (~v90(constB83, bitIndex0))) <=> (v90(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex0)))),
% 24.89/16.65 inference(rewrite,[status(thm)],[])).
% 24.89/16.65 tff(15113,plain,
% 24.89/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex0) | v100(constB83) | (~v90(constB83, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex0))))),
% 24.89/16.65 inference(monotonicity,[status(thm)],[15112])).
% 24.89/16.65 tff(15114,plain,
% 24.89/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex0) | v100(constB83) | (~v90(constB83, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex0)))),
% 24.89/16.65 inference(transitivity,[status(thm)],[15113, 15111])).
% 24.89/16.65 tff(15115,plain,
% 24.89/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex0) | v100(constB83) | (~v90(constB83, bitIndex0)))),
% 24.89/16.65 inference(quant_inst,[status(thm)],[])).
% 24.89/16.65 tff(15116,plain,
% 24.89/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex0))),
% 24.89/16.65 inference(modus_ponens,[status(thm)],[15115, 15114])).
% 24.89/16.65 tff(15117,plain,
% 24.89/16.65 (v90(constB82, bitIndex0) | v100(constB83) | (~v90(constB83, bitIndex0))),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15116, 934, 15030])).
% 24.89/16.65 tff(15118,plain,
% 24.89/16.65 (v90(constB82, bitIndex0) | (~v90(constB83, bitIndex0))),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15117, 15042])).
% 24.89/16.65 tff(15119,plain,
% 24.89/16.65 (~v90(constB83, bitIndex0)),
% 24.89/16.65 inference(unit_resolution,[status(thm)],[15118, 15110])).
% 24.89/16.65 tff(15120,plain,
% 24.89/16.65 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v123(constB83))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v123(constB83))),
% 24.89/16.65 inference(rewrite,[status(thm)],[])).
% 24.89/16.65 tff(15121,plain,
% 24.89/16.65 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v123(constB83))),
% 24.89/16.65 inference(quant_inst,[status(thm)],[])).
% 24.89/16.65 tff(15122,plain,
% 24.89/16.65 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v123(constB83)),
% 24.94/16.65 inference(modus_ponens,[status(thm)],[15121, 15120])).
% 24.94/16.65 tff(15123,plain,
% 24.94/16.65 (v123(constB83)),
% 24.94/16.65 inference(unit_resolution,[status(thm)],[15122, 1401, 15119, 15085, 15051])).
% 24.94/16.65 tff(15124,plain,
% 24.94/16.65 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB83)) | v115(constB83))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB83)) | v115(constB83))),
% 24.94/16.65 inference(rewrite,[status(thm)],[])).
% 24.94/16.65 tff(15125,plain,
% 24.94/16.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB83)) | v115(constB83))),
% 24.94/16.65 inference(quant_inst,[status(thm)],[])).
% 24.94/16.65 tff(15126,plain,
% 24.94/16.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB83)) | v115(constB83)),
% 24.94/16.65 inference(modus_ponens,[status(thm)],[15125, 15124])).
% 24.94/16.65 tff(15127,plain,
% 24.94/16.65 (v115(constB83)),
% 24.94/16.65 inference(unit_resolution,[status(thm)],[15126, 1412, 15123])).
% 24.94/16.65 tff(15128,plain,
% 24.94/16.65 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB83)) | v114(constB83))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB83)) | v114(constB83))),
% 24.94/16.65 inference(rewrite,[status(thm)],[])).
% 24.94/16.65 tff(15129,plain,
% 24.94/16.65 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB83)) | v114(constB83))),
% 24.94/16.65 inference(quant_inst,[status(thm)],[])).
% 24.94/16.65 tff(15130,plain,
% 24.94/16.65 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB83)) | v114(constB83)),
% 24.94/16.65 inference(modus_ponens,[status(thm)],[15129, 15128])).
% 24.94/16.65 tff(15131,plain,
% 24.94/16.65 (v114(constB83)),
% 24.94/16.65 inference(unit_resolution,[status(thm)],[15130, 1022, 15127])).
% 24.94/16.65 tff(15132,plain,
% 24.94/16.65 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB83) | (~v114(constB83)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB83) | (~v114(constB83)))),
% 24.94/16.65 inference(rewrite,[status(thm)],[])).
% 24.94/16.65 tff(15133,plain,
% 24.94/16.65 (((~v114(constB83)) | v113(constB83)) <=> (v113(constB83) | (~v114(constB83)))),
% 24.94/16.65 inference(rewrite,[status(thm)],[])).
% 24.94/16.65 tff(15134,plain,
% 24.94/16.65 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB83)) | v113(constB83))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB83) | (~v114(constB83))))),
% 24.94/16.65 inference(monotonicity,[status(thm)],[15133])).
% 24.94/16.65 tff(15135,plain,
% 24.94/16.65 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB83)) | v113(constB83))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB83) | (~v114(constB83)))),
% 24.94/16.65 inference(transitivity,[status(thm)],[15134, 15132])).
% 24.94/16.65 tff(15136,plain,
% 24.94/16.65 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB83)) | v113(constB83))),
% 24.94/16.65 inference(quant_inst,[status(thm)],[])).
% 24.94/16.65 tff(15137,plain,
% 24.94/16.65 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB83) | (~v114(constB83))),
% 24.94/16.65 inference(modus_ponens,[status(thm)],[15136, 15135])).
% 24.94/16.65 tff(15138,plain,
% 24.94/16.65 (v113(constB83)),
% 24.94/16.65 inference(unit_resolution,[status(thm)],[15137, 1036, 15131])).
% 24.94/16.65 tff(15139,assumption,(v26(constB83)), introduced(assumption)).
% 24.94/16.65 tff(15140,plain,
% 24.94/16.65 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB83))),
% 24.94/16.65 inference(quant_inst,[status(thm)],[])).
% 24.94/16.65 tff(15141,plain,
% 24.94/16.65 ($false),
% 24.94/16.65 inference(unit_resolution,[status(thm)],[15140, 797, 15139])).
% 24.94/16.65 tff(15142,plain,(~v26(constB83)), inference(lemma,lemma(discharge,[]))).
% 24.94/16.65 tff(15143,plain,
% 24.94/16.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | v112(constB83) | (~v113(constB83)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | v112(constB83) | (~v113(constB83)))),
% 24.94/16.65 inference(rewrite,[status(thm)],[])).
% 24.94/16.65 tff(15144,plain,
% 24.94/16.65 ((v26(constB83) | (~v113(constB83)) | v112(constB83)) <=> (v26(constB83) | v112(constB83) | (~v113(constB83)))),
% 24.94/16.65 inference(rewrite,[status(thm)],[])).
% 24.94/16.65 tff(15145,plain,
% 24.94/16.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | v112(constB83) | (~v113(constB83))))),
% 24.94/16.65 inference(monotonicity,[status(thm)],[15144])).
% 24.94/16.65 tff(15146,plain,
% 24.94/16.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | v112(constB83) | (~v113(constB83)))),
% 24.94/16.65 inference(transitivity,[status(thm)],[15145, 15143])).
% 24.94/16.65 tff(15147,plain,
% 24.94/16.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))),
% 24.94/16.65 inference(quant_inst,[status(thm)],[])).
% 24.94/16.65 tff(15148,plain,
% 24.94/16.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | v112(constB83) | (~v113(constB83))),
% 24.94/16.65 inference(modus_ponens,[status(thm)],[15147, 15146])).
% 24.94/16.65 tff(15149,plain,
% 24.94/16.65 (v112(constB83) | (~v113(constB83))),
% 24.94/16.65 inference(unit_resolution,[status(thm)],[15148, 1050, 15142])).
% 24.94/16.65 tff(15150,plain,
% 24.94/16.65 (v112(constB83)),
% 24.94/16.65 inference(unit_resolution,[status(thm)],[15149, 15138])).
% 24.94/16.65 tff(15151,plain,
% 24.94/16.65 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB83) | (~v112(constB83)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB83) | (~v112(constB83)))),
% 24.94/16.65 inference(rewrite,[status(thm)],[])).
% 24.94/16.65 tff(15152,plain,
% 24.94/16.65 (((~v112(constB83)) | v108(constB83)) <=> (v108(constB83) | (~v112(constB83)))),
% 24.94/16.65 inference(rewrite,[status(thm)],[])).
% 24.94/16.65 tff(15153,plain,
% 24.94/16.65 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB83)) | v108(constB83))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB83) | (~v112(constB83))))),
% 24.94/16.65 inference(monotonicity,[status(thm)],[15152])).
% 24.94/16.65 tff(15154,plain,
% 24.94/16.65 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB83)) | v108(constB83))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB83) | (~v112(constB83)))),
% 24.94/16.66 inference(transitivity,[status(thm)],[15153, 15151])).
% 24.94/16.66 tff(15155,plain,
% 24.94/16.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB83)) | v108(constB83))),
% 24.94/16.66 inference(quant_inst,[status(thm)],[])).
% 24.94/16.66 tff(15156,plain,
% 24.94/16.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB83) | (~v112(constB83))),
% 24.94/16.66 inference(modus_ponens,[status(thm)],[15155, 15154])).
% 24.94/16.66 tff(15157,plain,
% 24.94/16.66 (v108(constB83)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15156, 1062, 15150])).
% 24.94/16.66 tff(15158,plain,
% 24.94/16.66 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15159,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_83_1')).
% 24.94/16.66 tff(15160,plain,
% 24.94/16.66 (nextState(constB83, constB84)),
% 24.94/16.66 inference(modus_ponens,[status(thm)],[15159, 15158])).
% 24.94/16.66 tff(15161,plain,
% 24.94/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15162,plain,
% 24.94/16.66 (((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84)) <=> ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15163,plain,
% 24.94/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83))))),
% 24.94/16.66 inference(monotonicity,[status(thm)],[15162])).
% 24.94/16.66 tff(15164,plain,
% 24.94/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 24.94/16.66 inference(transitivity,[status(thm)],[15163, 15161])).
% 24.94/16.66 tff(15165,plain,
% 24.94/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))),
% 24.94/16.66 inference(quant_inst,[status(thm)],[])).
% 24.94/16.66 tff(15166,plain,
% 24.94/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83))),
% 24.94/16.66 inference(modus_ponens,[status(thm)],[15165, 15164])).
% 24.94/16.66 tff(15167,plain,
% 24.94/16.66 (v110(constB84) | (~v108(constB83))),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15166, 1082, 15160])).
% 24.94/16.66 tff(15168,plain,
% 24.94/16.66 (v110(constB84)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15167, 15157])).
% 24.94/16.66 tff(15169,plain,
% 24.94/16.66 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15170,plain,
% 24.94/16.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))),
% 24.94/16.66 inference(quant_inst,[status(thm)],[])).
% 24.94/16.66 tff(15171,plain,
% 24.94/16.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84))),
% 24.94/16.66 inference(modus_ponens,[status(thm)],[15170, 15169])).
% 24.94/16.66 tff(15172,plain,
% 24.94/16.66 (~v104(constB84)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15171, 1100, 15160, 15027])).
% 24.94/16.66 tff(15173,plain,
% 24.94/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15174,plain,
% 24.94/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))),
% 24.94/16.66 inference(quant_inst,[status(thm)],[])).
% 24.94/16.66 tff(15175,plain,
% 24.94/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v102(constB84) | v104(constB84)),
% 24.94/16.66 inference(modus_ponens,[status(thm)],[15174, 15173])).
% 24.94/16.66 tff(15176,plain,
% 24.94/16.66 (v102(constB84) | v104(constB84)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15175, 1114, 15160])).
% 24.94/16.66 tff(15177,plain,
% 24.94/16.66 (v102(constB84)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15176, 15172])).
% 24.94/16.66 tff(15178,plain,
% 24.94/16.66 (v1(constB84) <=> v1(constB84)),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15179,axiom,(v1(constB84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_84_1')).
% 24.94/16.66 tff(15180,plain,
% 24.94/16.66 (v1(constB84)),
% 24.94/16.66 inference(modus_ponens,[status(thm)],[15179, 15178])).
% 24.94/16.66 tff(15181,plain,
% 24.94/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15182,plain,
% 24.94/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))),
% 24.94/16.66 inference(quant_inst,[status(thm)],[])).
% 24.94/16.66 tff(15183,plain,
% 24.94/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84))),
% 24.94/16.66 inference(modus_ponens,[status(thm)],[15182, 15181])).
% 24.94/16.66 tff(15184,plain,
% 24.94/16.66 (v101(constB84) | (~v102(constB84))),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15183, 1129, 15160, 15180])).
% 24.94/16.66 tff(15185,plain,
% 24.94/16.66 (v101(constB84)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15184, 15177])).
% 24.94/16.66 tff(15186,plain,
% 24.94/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15187,plain,
% 24.94/16.66 (((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84)) <=> ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15188,plain,
% 24.94/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84))))),
% 24.94/16.66 inference(monotonicity,[status(thm)],[15187])).
% 24.94/16.66 tff(15189,plain,
% 24.94/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 24.94/16.66 inference(transitivity,[status(thm)],[15188, 15186])).
% 24.94/16.66 tff(15190,plain,
% 24.94/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))),
% 24.94/16.66 inference(quant_inst,[status(thm)],[])).
% 24.94/16.66 tff(15191,plain,
% 24.94/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 24.94/16.66 inference(modus_ponens,[status(thm)],[15190, 15189])).
% 24.94/16.66 tff(15192,plain,
% 24.94/16.66 (v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15191, 1144, 15160])).
% 24.94/16.66 tff(15193,plain,
% 24.94/16.66 (v100(constB84) | (~v110(constB84))),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15192, 15185])).
% 24.94/16.66 tff(15194,plain,
% 24.94/16.66 (v100(constB84)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15193, 15168])).
% 24.94/16.66 tff(15195,plain,
% 24.94/16.66 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB83)) | v130(constB83, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB83)) | v130(constB83, bitIndex2))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15196,plain,
% 24.94/16.66 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB83)) | v130(constB83, bitIndex2))),
% 24.94/16.66 inference(quant_inst,[status(thm)],[])).
% 24.94/16.66 tff(15197,plain,
% 24.94/16.66 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB83)) | v130(constB83, bitIndex2)),
% 24.94/16.66 inference(modus_ponens,[status(thm)],[15196, 15195])).
% 24.94/16.66 tff(15198,plain,
% 24.94/16.66 (v130(constB83, bitIndex2)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15197, 1483, 15123])).
% 24.94/16.66 tff(15199,plain,
% 24.94/16.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15200,plain,
% 24.94/16.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2))),
% 24.94/16.66 inference(quant_inst,[status(thm)],[])).
% 24.94/16.66 tff(15201,plain,
% 24.94/16.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2)),
% 24.94/16.66 inference(modus_ponens,[status(thm)],[15200, 15199])).
% 24.94/16.66 tff(15202,plain,
% 24.94/16.66 ((~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15201, 1174, 15142])).
% 24.94/16.66 tff(15203,plain,
% 24.94/16.66 (v127(constB83, bitIndex2)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15202, 15198])).
% 24.94/16.66 tff(15204,plain,
% 24.94/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15205,plain,
% 24.94/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2))),
% 24.94/16.66 inference(quant_inst,[status(thm)],[])).
% 24.94/16.66 tff(15206,plain,
% 24.94/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2)),
% 24.94/16.66 inference(modus_ponens,[status(thm)],[15205, 15204])).
% 24.94/16.66 tff(15207,plain,
% 24.94/16.66 ((~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15206, 1189, 15160])).
% 24.94/16.66 tff(15208,plain,
% 24.94/16.66 (v129(constB84, bitIndex2)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15207, 15203])).
% 24.94/16.66 tff(15209,plain,
% 24.94/16.66 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15210,plain,
% 24.94/16.66 ((v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2))) <=> (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15211,plain,
% 24.94/16.66 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84))))),
% 24.94/16.66 inference(monotonicity,[status(thm)],[15210])).
% 24.94/16.66 tff(15212,plain,
% 24.94/16.66 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))),
% 24.94/16.66 inference(transitivity,[status(thm)],[15211, 15209])).
% 24.94/16.66 tff(15213,plain,
% 24.94/16.66 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2)))),
% 24.94/16.66 inference(quant_inst,[status(thm)],[])).
% 24.94/16.66 tff(15214,plain,
% 24.94/16.66 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84))),
% 24.94/16.66 inference(modus_ponens,[status(thm)],[15213, 15212])).
% 24.94/16.66 tff(15215,plain,
% 24.94/16.66 (v90(constB84, bitIndex2) | (~v100(constB84))),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15214, 1204, 15208])).
% 24.94/16.66 tff(15216,plain,
% 24.94/16.66 (v90(constB84, bitIndex2)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15215, 15194])).
% 24.94/16.66 tff(15217,plain,
% 24.94/16.66 ((~v1(constB85)) <=> (~v1(constB85))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15218,axiom,(~v1(constB85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_85_1_1')).
% 24.94/16.66 tff(15219,plain,
% 24.94/16.66 (~v1(constB85)),
% 24.94/16.66 inference(modus_ponens,[status(thm)],[15218, 15217])).
% 24.94/16.66 tff(15220,plain,
% 24.94/16.66 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15221,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_84_1')).
% 24.94/16.66 tff(15222,plain,
% 24.94/16.66 (nextState(constB84, constB85)),
% 24.94/16.66 inference(modus_ponens,[status(thm)],[15221, 15220])).
% 24.94/16.66 tff(15223,plain,
% 24.94/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15224,plain,
% 24.94/16.66 (((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85)) <=> (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15225,plain,
% 24.94/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85))))),
% 24.94/16.66 inference(monotonicity,[status(thm)],[15224])).
% 24.94/16.66 tff(15226,plain,
% 24.94/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 24.94/16.66 inference(transitivity,[status(thm)],[15225, 15223])).
% 24.94/16.66 tff(15227,plain,
% 24.94/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))),
% 24.94/16.66 inference(quant_inst,[status(thm)],[])).
% 24.94/16.66 tff(15228,plain,
% 24.94/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85))),
% 24.94/16.66 inference(modus_ponens,[status(thm)],[15227, 15226])).
% 24.94/16.66 tff(15229,plain,
% 24.94/16.66 (~v101(constB85)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15228, 860, 15222, 15219])).
% 24.94/16.66 tff(15230,plain,
% 24.94/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15231,plain,
% 24.94/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))),
% 24.94/16.66 inference(quant_inst,[status(thm)],[])).
% 24.94/16.66 tff(15232,plain,
% 24.94/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85))),
% 24.94/16.66 inference(modus_ponens,[status(thm)],[15231, 15230])).
% 24.94/16.66 tff(15233,plain,
% 24.94/16.66 (v101(constB85) | (~v100(constB85))),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15232, 877, 15222])).
% 24.94/16.66 tff(15234,plain,
% 24.94/16.66 (~v100(constB85)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15233, 15229])).
% 24.94/16.66 tff(15235,plain,
% 24.94/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15236,plain,
% 24.94/16.66 (((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2)) <=> ((~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15237,plain,
% 24.94/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2)))),
% 24.94/16.66 inference(monotonicity,[status(thm)],[15236])).
% 24.94/16.66 tff(15238,plain,
% 24.94/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))),
% 24.94/16.66 inference(transitivity,[status(thm)],[15237, 15235])).
% 24.94/16.66 tff(15239,plain,
% 24.94/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2))),
% 24.94/16.66 inference(quant_inst,[status(thm)],[])).
% 24.94/16.66 tff(15240,plain,
% 24.94/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2)),
% 24.94/16.66 inference(modus_ponens,[status(thm)],[15239, 15238])).
% 24.94/16.66 tff(15241,plain,
% 24.94/16.66 ((~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15240, 1240, 15222])).
% 24.94/16.66 tff(15242,plain,
% 24.94/16.66 ((~v90(constB84, bitIndex2)) | v90(constB85, bitIndex2)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15241, 15234])).
% 24.94/16.66 tff(15243,plain,
% 24.94/16.66 (v90(constB85, bitIndex2)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15242, 15216])).
% 24.94/16.66 tff(15244,plain,
% 24.94/16.66 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB83)) | v130(constB83, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB83)) | v130(constB83, bitIndex1))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15245,plain,
% 24.94/16.66 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB83)) | v130(constB83, bitIndex1))),
% 24.94/16.66 inference(quant_inst,[status(thm)],[])).
% 24.94/16.66 tff(15246,plain,
% 24.94/16.66 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB83)) | v130(constB83, bitIndex1)),
% 24.94/16.66 inference(modus_ponens,[status(thm)],[15245, 15244])).
% 24.94/16.66 tff(15247,plain,
% 24.94/16.66 (v130(constB83, bitIndex1)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15246, 1539, 15123])).
% 24.94/16.66 tff(15248,plain,
% 24.94/16.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15249,plain,
% 24.94/16.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1))),
% 24.94/16.66 inference(quant_inst,[status(thm)],[])).
% 24.94/16.66 tff(15250,plain,
% 24.94/16.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1)),
% 24.94/16.66 inference(modus_ponens,[status(thm)],[15249, 15248])).
% 24.94/16.66 tff(15251,plain,
% 24.94/16.66 ((~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15250, 1553, 15142])).
% 24.94/16.66 tff(15252,plain,
% 24.94/16.66 (v127(constB83, bitIndex1)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15251, 15247])).
% 24.94/16.66 tff(15253,plain,
% 24.94/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15254,plain,
% 24.94/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1))),
% 24.94/16.66 inference(quant_inst,[status(thm)],[])).
% 24.94/16.66 tff(15255,plain,
% 24.94/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1)),
% 24.94/16.66 inference(modus_ponens,[status(thm)],[15254, 15253])).
% 24.94/16.66 tff(15256,plain,
% 24.94/16.66 ((~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15255, 1568, 15160])).
% 24.94/16.66 tff(15257,plain,
% 24.94/16.66 (v129(constB84, bitIndex1)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15256, 15252])).
% 24.94/16.66 tff(15258,plain,
% 24.94/16.66 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15259,plain,
% 24.94/16.66 ((v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1))) <=> (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15260,plain,
% 24.94/16.66 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84))))),
% 24.94/16.66 inference(monotonicity,[status(thm)],[15259])).
% 24.94/16.66 tff(15261,plain,
% 24.94/16.66 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))),
% 24.94/16.66 inference(transitivity,[status(thm)],[15260, 15258])).
% 24.94/16.66 tff(15262,plain,
% 24.94/16.66 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1)))),
% 24.94/16.66 inference(quant_inst,[status(thm)],[])).
% 24.94/16.66 tff(15263,plain,
% 24.94/16.66 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84))),
% 24.94/16.66 inference(modus_ponens,[status(thm)],[15262, 15261])).
% 24.94/16.66 tff(15264,plain,
% 24.94/16.66 (v90(constB84, bitIndex1) | (~v100(constB84))),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15263, 1583, 15257])).
% 24.94/16.66 tff(15265,plain,
% 24.94/16.66 (v90(constB84, bitIndex1)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15264, 15194])).
% 24.94/16.66 tff(15266,plain,
% 24.94/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15267,plain,
% 24.94/16.66 (((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1)) <=> ((~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15268,plain,
% 24.94/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1)))),
% 24.94/16.66 inference(monotonicity,[status(thm)],[15267])).
% 24.94/16.66 tff(15269,plain,
% 24.94/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))),
% 24.94/16.66 inference(transitivity,[status(thm)],[15268, 15266])).
% 24.94/16.66 tff(15270,plain,
% 24.94/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1))),
% 24.94/16.66 inference(quant_inst,[status(thm)],[])).
% 24.94/16.66 tff(15271,plain,
% 24.94/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1)),
% 24.94/16.66 inference(modus_ponens,[status(thm)],[15270, 15269])).
% 24.94/16.66 tff(15272,plain,
% 24.94/16.66 ((~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15271, 1601, 15222])).
% 24.94/16.66 tff(15273,plain,
% 24.94/16.66 ((~v90(constB84, bitIndex1)) | v90(constB85, bitIndex1)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15272, 15234])).
% 24.94/16.66 tff(15274,plain,
% 24.94/16.66 (v90(constB85, bitIndex1)),
% 24.94/16.66 inference(unit_resolution,[status(thm)],[15273, 15265])).
% 24.94/16.66 tff(15275,plain,
% 24.94/16.66 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB83)) | (~v130(constB83, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB83)) | (~v130(constB83, bitIndex0)))),
% 24.94/16.66 inference(rewrite,[status(thm)],[])).
% 24.94/16.66 tff(15276,plain,
% 24.94/16.66 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB83)) | (~v130(constB83, bitIndex0)))),
% 24.94/16.67 inference(quant_inst,[status(thm)],[])).
% 24.94/16.67 tff(15277,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB83)) | (~v130(constB83, bitIndex0))),
% 24.94/16.67 inference(modus_ponens,[status(thm)],[15276, 15275])).
% 24.94/16.67 tff(15278,plain,
% 24.94/16.67 (~v130(constB83, bitIndex0)),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15277, 1617, 15123])).
% 24.94/16.67 tff(15279,plain,
% 24.94/16.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15280,plain,
% 24.94/16.67 ((v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0))) <=> ((~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15281,plain,
% 24.94/16.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0)))),
% 24.94/16.67 inference(monotonicity,[status(thm)],[15280])).
% 24.94/16.67 tff(15282,plain,
% 24.94/16.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))),
% 24.94/16.67 inference(transitivity,[status(thm)],[15281, 15279])).
% 24.94/16.67 tff(15283,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0)))),
% 24.94/16.67 inference(quant_inst,[status(thm)],[])).
% 24.94/16.67 tff(15284,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0)),
% 24.94/16.67 inference(modus_ponens,[status(thm)],[15283, 15282])).
% 24.94/16.67 tff(15285,plain,
% 24.94/16.67 ((~v127(constB83, bitIndex0)) | v130(constB83, bitIndex0)),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15284, 1341, 15142])).
% 24.94/16.67 tff(15286,plain,
% 24.94/16.67 (~v127(constB83, bitIndex0)),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15285, 15278])).
% 24.94/16.67 tff(15287,plain,
% 24.94/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0)))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15288,plain,
% 24.94/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0)))),
% 24.94/16.67 inference(quant_inst,[status(thm)],[])).
% 24.94/16.67 tff(15289,plain,
% 24.94/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0))),
% 24.94/16.67 inference(modus_ponens,[status(thm)],[15288, 15287])).
% 24.94/16.67 tff(15290,plain,
% 24.94/16.67 (v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0))),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15289, 1359, 15160])).
% 24.94/16.67 tff(15291,plain,
% 24.94/16.67 (~v129(constB84, bitIndex0)),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15290, 15286])).
% 24.94/16.67 tff(15292,plain,
% 24.94/16.67 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15293,plain,
% 24.94/16.67 (((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0)) <=> ((~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15294,plain,
% 24.94/16.67 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84))))),
% 24.94/16.67 inference(monotonicity,[status(thm)],[15293])).
% 24.94/16.67 tff(15295,plain,
% 24.94/16.67 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))),
% 24.94/16.67 inference(transitivity,[status(thm)],[15294, 15292])).
% 24.94/16.67 tff(15296,plain,
% 24.94/16.67 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0))),
% 24.94/16.67 inference(quant_inst,[status(thm)],[])).
% 24.94/16.67 tff(15297,plain,
% 24.94/16.67 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84))),
% 24.94/16.67 inference(modus_ponens,[status(thm)],[15296, 15295])).
% 24.94/16.67 tff(15298,plain,
% 24.94/16.67 ((~v90(constB84, bitIndex0)) | (~v100(constB84))),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15297, 1374, 15291])).
% 24.94/16.67 tff(15299,plain,
% 24.94/16.67 (~v90(constB84, bitIndex0)),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15298, 15194])).
% 24.94/16.67 tff(15300,plain,
% 24.94/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15301,plain,
% 24.94/16.67 (((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0))) <=> (v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15302,plain,
% 24.94/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0))))),
% 24.94/16.67 inference(monotonicity,[status(thm)],[15301])).
% 24.94/16.67 tff(15303,plain,
% 24.94/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 24.94/16.67 inference(transitivity,[status(thm)],[15302, 15300])).
% 24.94/16.67 tff(15304,plain,
% 24.94/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 24.94/16.67 inference(quant_inst,[status(thm)],[])).
% 24.94/16.67 tff(15305,plain,
% 24.94/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0))),
% 24.94/16.67 inference(modus_ponens,[status(thm)],[15304, 15303])).
% 24.94/16.67 tff(15306,plain,
% 24.94/16.67 (v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0))),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15305, 934, 15222])).
% 24.94/16.67 tff(15307,plain,
% 24.94/16.67 (v90(constB84, bitIndex0) | (~v90(constB85, bitIndex0))),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15306, 15234])).
% 24.94/16.67 tff(15308,plain,
% 24.94/16.67 (~v90(constB85, bitIndex0)),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15307, 15299])).
% 24.94/16.67 tff(15309,plain,
% 24.94/16.67 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15310,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85))),
% 24.94/16.67 inference(quant_inst,[status(thm)],[])).
% 24.94/16.67 tff(15311,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85)),
% 24.94/16.67 inference(modus_ponens,[status(thm)],[15310, 15309])).
% 24.94/16.67 tff(15312,plain,
% 24.94/16.67 (v125(constB85)),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15311, 1661, 15308, 15274, 15243])).
% 24.94/16.67 tff(15313,plain,
% 24.94/16.67 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB85) | (~v125(constB85)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB85) | (~v125(constB85)))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15314,plain,
% 24.94/16.67 (((~v125(constB85)) | v113(constB85)) <=> (v113(constB85) | (~v125(constB85)))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15315,plain,
% 24.94/16.67 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB85)) | v113(constB85))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB85) | (~v125(constB85))))),
% 24.94/16.67 inference(monotonicity,[status(thm)],[15314])).
% 24.94/16.67 tff(15316,plain,
% 24.94/16.67 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB85)) | v113(constB85))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB85) | (~v125(constB85)))),
% 24.94/16.67 inference(transitivity,[status(thm)],[15315, 15313])).
% 24.94/16.67 tff(15317,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB85)) | v113(constB85))),
% 24.94/16.67 inference(quant_inst,[status(thm)],[])).
% 24.94/16.67 tff(15318,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB85) | (~v125(constB85))),
% 24.94/16.67 inference(modus_ponens,[status(thm)],[15317, 15316])).
% 24.94/16.67 tff(15319,plain,
% 24.94/16.67 (v113(constB85)),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15318, 1672, 15312])).
% 24.94/16.67 tff(15320,assumption,(v26(constB85)), introduced(assumption)).
% 24.94/16.67 tff(15321,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB85))),
% 24.94/16.67 inference(quant_inst,[status(thm)],[])).
% 24.94/16.67 tff(15322,plain,
% 24.94/16.67 ($false),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15321, 797, 15320])).
% 24.94/16.67 tff(15323,plain,(~v26(constB85)), inference(lemma,lemma(discharge,[]))).
% 24.94/16.67 tff(15324,plain,
% 24.94/16.67 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | v112(constB85) | (~v113(constB85)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15325,plain,
% 24.94/16.67 ((v26(constB85) | (~v113(constB85)) | v112(constB85)) <=> (v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15326,plain,
% 24.94/16.67 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | v112(constB85) | (~v113(constB85))))),
% 24.94/16.67 inference(monotonicity,[status(thm)],[15325])).
% 24.94/16.67 tff(15327,plain,
% 24.94/16.67 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 24.94/16.67 inference(transitivity,[status(thm)],[15326, 15324])).
% 24.94/16.67 tff(15328,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))),
% 24.94/16.67 inference(quant_inst,[status(thm)],[])).
% 24.94/16.67 tff(15329,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85))),
% 24.94/16.67 inference(modus_ponens,[status(thm)],[15328, 15327])).
% 24.94/16.67 tff(15330,plain,
% 24.94/16.67 (v112(constB85) | (~v113(constB85))),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15329, 1050, 15323])).
% 24.94/16.67 tff(15331,plain,
% 24.94/16.67 (v112(constB85)),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15330, 15319])).
% 24.94/16.67 tff(15332,plain,
% 24.94/16.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB85) | (~v112(constB85)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB85) | (~v112(constB85)))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15333,plain,
% 24.94/16.67 (((~v112(constB85)) | v108(constB85)) <=> (v108(constB85) | (~v112(constB85)))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15334,plain,
% 24.94/16.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB85)) | v108(constB85))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB85) | (~v112(constB85))))),
% 24.94/16.67 inference(monotonicity,[status(thm)],[15333])).
% 24.94/16.67 tff(15335,plain,
% 24.94/16.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB85)) | v108(constB85))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB85) | (~v112(constB85)))),
% 24.94/16.67 inference(transitivity,[status(thm)],[15334, 15332])).
% 24.94/16.67 tff(15336,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB85)) | v108(constB85))),
% 24.94/16.67 inference(quant_inst,[status(thm)],[])).
% 24.94/16.67 tff(15337,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB85) | (~v112(constB85))),
% 24.94/16.67 inference(modus_ponens,[status(thm)],[15336, 15335])).
% 24.94/16.67 tff(15338,plain,
% 24.94/16.67 (v108(constB85)),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15337, 1062, 15331])).
% 24.94/16.67 tff(15339,plain,
% 24.94/16.67 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15340,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_85_1')).
% 24.94/16.67 tff(15341,plain,
% 24.94/16.67 (nextState(constB85, constB86)),
% 24.94/16.67 inference(modus_ponens,[status(thm)],[15340, 15339])).
% 24.94/16.67 tff(15342,plain,
% 24.94/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15343,plain,
% 24.94/16.67 (((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86)) <=> ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15344,plain,
% 24.94/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85))))),
% 24.94/16.67 inference(monotonicity,[status(thm)],[15343])).
% 24.94/16.67 tff(15345,plain,
% 24.94/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 24.94/16.67 inference(transitivity,[status(thm)],[15344, 15342])).
% 24.94/16.67 tff(15346,plain,
% 24.94/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))),
% 24.94/16.67 inference(quant_inst,[status(thm)],[])).
% 24.94/16.67 tff(15347,plain,
% 24.94/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85))),
% 24.94/16.67 inference(modus_ponens,[status(thm)],[15346, 15345])).
% 24.94/16.67 tff(15348,plain,
% 24.94/16.67 (v110(constB86) | (~v108(constB85))),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15347, 1082, 15341])).
% 24.94/16.67 tff(15349,plain,
% 24.94/16.67 (v110(constB86)),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15348, 15338])).
% 24.94/16.67 tff(15350,plain,
% 24.94/16.67 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15351,plain,
% 24.94/16.67 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))),
% 24.94/16.67 inference(quant_inst,[status(thm)],[])).
% 24.94/16.67 tff(15352,plain,
% 24.94/16.67 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86))),
% 24.94/16.67 inference(modus_ponens,[status(thm)],[15351, 15350])).
% 24.94/16.67 tff(15353,plain,
% 24.94/16.67 (~v104(constB86)),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15352, 1100, 15341, 15219])).
% 24.94/16.67 tff(15354,plain,
% 24.94/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15355,plain,
% 24.94/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))),
% 24.94/16.67 inference(quant_inst,[status(thm)],[])).
% 24.94/16.67 tff(15356,plain,
% 24.94/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v102(constB86) | v104(constB86)),
% 24.94/16.67 inference(modus_ponens,[status(thm)],[15355, 15354])).
% 24.94/16.67 tff(15357,plain,
% 24.94/16.67 (v102(constB86) | v104(constB86)),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15356, 1114, 15341])).
% 24.94/16.67 tff(15358,plain,
% 24.94/16.67 (v102(constB86)),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15357, 15353])).
% 24.94/16.67 tff(15359,plain,
% 24.94/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15360,plain,
% 24.94/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))),
% 24.94/16.67 inference(quant_inst,[status(thm)],[])).
% 24.94/16.67 tff(15361,plain,
% 24.94/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86))),
% 24.94/16.67 inference(modus_ponens,[status(thm)],[15360, 15359])).
% 24.94/16.67 tff(15362,plain,
% 24.94/16.67 (v101(constB86) | (~v102(constB86))),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15361, 1129, 15341, 636])).
% 24.94/16.67 tff(15363,plain,
% 24.94/16.67 (v101(constB86)),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15362, 15358])).
% 24.94/16.67 tff(15364,plain,
% 24.94/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15365,plain,
% 24.94/16.67 (((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86)) <=> ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15366,plain,
% 24.94/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86))))),
% 24.94/16.67 inference(monotonicity,[status(thm)],[15365])).
% 24.94/16.67 tff(15367,plain,
% 24.94/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 24.94/16.67 inference(transitivity,[status(thm)],[15366, 15364])).
% 24.94/16.67 tff(15368,plain,
% 24.94/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))),
% 24.94/16.67 inference(quant_inst,[status(thm)],[])).
% 24.94/16.67 tff(15369,plain,
% 24.94/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 24.94/16.67 inference(modus_ponens,[status(thm)],[15368, 15367])).
% 24.94/16.67 tff(15370,plain,
% 24.94/16.67 (v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15369, 1144, 15341])).
% 24.94/16.67 tff(15371,plain,
% 24.94/16.67 (v100(constB86) | (~v110(constB86))),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15370, 15363])).
% 24.94/16.67 tff(15372,plain,
% 24.94/16.67 (v100(constB86)),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15371, 15349])).
% 24.94/16.67 tff(15373,plain,
% 24.94/16.67 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB85)) | (~v90(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB85)) | (~v90(constB85, bitIndex2)))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15374,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB85)) | (~v90(constB85, bitIndex2)))),
% 24.94/16.67 inference(quant_inst,[status(thm)],[])).
% 24.94/16.67 tff(15375,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB85)) | (~v90(constB85, bitIndex2))),
% 24.94/16.67 inference(modus_ponens,[status(thm)],[15374, 15373])).
% 24.94/16.67 tff(15376,plain,
% 24.94/16.67 (~v121(constB85)),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15375, 1729, 15243])).
% 24.94/16.67 tff(15377,plain,
% 24.94/16.67 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB85)) | (~v90(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB85)) | (~v90(constB85, bitIndex2)))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15378,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB85)) | (~v90(constB85, bitIndex2)))),
% 24.94/16.67 inference(quant_inst,[status(thm)],[])).
% 24.94/16.67 tff(15379,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB85)) | (~v90(constB85, bitIndex2))),
% 24.94/16.67 inference(modus_ponens,[status(thm)],[15378, 15377])).
% 24.94/16.67 tff(15380,plain,
% 24.94/16.67 (~v122(constB85)),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15379, 1740, 15243])).
% 24.94/16.67 tff(15381,plain,
% 24.94/16.67 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB85)) | (~v90(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB85)) | (~v90(constB85, bitIndex1)))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15382,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB85)) | (~v90(constB85, bitIndex1)))),
% 24.94/16.67 inference(quant_inst,[status(thm)],[])).
% 24.94/16.67 tff(15383,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB85)) | (~v90(constB85, bitIndex1))),
% 24.94/16.67 inference(modus_ponens,[status(thm)],[15382, 15381])).
% 24.94/16.67 tff(15384,plain,
% 24.94/16.67 (~v119(constB85)),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15383, 1751, 15274])).
% 24.94/16.67 tff(15385,plain,
% 24.94/16.67 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB85)) | (~v90(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB85)) | (~v90(constB85, bitIndex1)))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15386,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB85)) | (~v90(constB85, bitIndex1)))),
% 24.94/16.67 inference(quant_inst,[status(thm)],[])).
% 24.94/16.67 tff(15387,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB85)) | (~v90(constB85, bitIndex1))),
% 24.94/16.67 inference(modus_ponens,[status(thm)],[15386, 15385])).
% 24.94/16.67 tff(15388,plain,
% 24.94/16.67 (~v120(constB85)),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15387, 1762, 15274])).
% 24.94/16.67 tff(15389,plain,
% 24.94/16.67 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB85)) | (~v90(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB85)) | (~v90(constB85, bitIndex1)))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15390,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB85)) | (~v90(constB85, bitIndex1)))),
% 24.94/16.67 inference(quant_inst,[status(thm)],[])).
% 24.94/16.67 tff(15391,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB85)) | (~v90(constB85, bitIndex1))),
% 24.94/16.67 inference(modus_ponens,[status(thm)],[15390, 15389])).
% 24.94/16.67 tff(15392,plain,
% 24.94/16.67 (~v124(constB85)),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15391, 1784, 15274])).
% 24.94/16.67 tff(15393,plain,
% 24.94/16.67 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB85)) | (~v90(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB85)) | (~v90(constB85, bitIndex1)))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15394,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB85)) | (~v90(constB85, bitIndex1)))),
% 24.94/16.67 inference(quant_inst,[status(thm)],[])).
% 24.94/16.67 tff(15395,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB85)) | (~v90(constB85, bitIndex1))),
% 24.94/16.67 inference(modus_ponens,[status(thm)],[15394, 15393])).
% 24.94/16.67 tff(15396,plain,
% 24.94/16.67 (~v123(constB85)),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15395, 1773, 15274])).
% 24.94/16.67 tff(15397,plain,
% 24.94/16.67 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1)))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15398,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1)))),
% 24.94/16.67 inference(quant_inst,[status(thm)],[])).
% 24.94/16.67 tff(15399,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1))),
% 24.94/16.67 inference(modus_ponens,[status(thm)],[15398, 15397])).
% 24.94/16.67 tff(15400,plain,
% 24.94/16.67 (~v130(constB85, bitIndex1)),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15399, 1887, 15396, 15392, 15388, 15384, 15380, 15376])).
% 24.94/16.67 tff(15401,plain,
% 24.94/16.67 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15402,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0))),
% 24.94/16.67 inference(quant_inst,[status(thm)],[])).
% 24.94/16.67 tff(15403,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0)),
% 24.94/16.67 inference(modus_ponens,[status(thm)],[15402, 15401])).
% 24.94/16.67 tff(15404,plain,
% 24.94/16.67 (v130(constB85, bitIndex0)),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15403, 1931, 15396, 15392, 15388, 15384, 15380, 15376])).
% 24.94/16.67 tff(15405,plain,
% 24.94/16.67 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2)))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15406,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2)))),
% 24.94/16.67 inference(quant_inst,[status(thm)],[])).
% 24.94/16.67 tff(15407,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2))),
% 24.94/16.67 inference(modus_ponens,[status(thm)],[15406, 15405])).
% 24.94/16.67 tff(15408,plain,
% 24.94/16.67 (~v130(constB85, bitIndex2)),
% 24.94/16.67 inference(unit_resolution,[status(thm)],[15407, 1798, 15396, 15392, 15388, 15384, 15380, 15376])).
% 24.94/16.67 tff(15409,plain,
% 24.94/16.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15410,plain,
% 24.94/16.67 ((v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2))) <=> ((~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))),
% 24.94/16.67 inference(rewrite,[status(thm)],[])).
% 24.94/16.67 tff(15411,plain,
% 24.94/16.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2)))),
% 24.94/16.67 inference(monotonicity,[status(thm)],[15410])).
% 24.94/16.67 tff(15412,plain,
% 24.94/16.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))),
% 24.94/16.67 inference(transitivity,[status(thm)],[15411, 15409])).
% 24.94/16.67 tff(15413,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2)))),
% 24.94/16.67 inference(quant_inst,[status(thm)],[])).
% 24.94/16.67 tff(15414,plain,
% 24.94/16.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2)),
% 24.94/16.68 inference(modus_ponens,[status(thm)],[15413, 15412])).
% 24.94/16.68 tff(15415,plain,
% 24.94/16.68 ((~v127(constB85, bitIndex2)) | v130(constB85, bitIndex2)),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15414, 1812, 15323])).
% 24.94/16.68 tff(15416,plain,
% 24.94/16.68 (~v127(constB85, bitIndex2)),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15415, 15408])).
% 24.94/16.68 tff(15417,plain,
% 24.94/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2)))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15418,plain,
% 24.94/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2)))),
% 24.94/16.68 inference(quant_inst,[status(thm)],[])).
% 24.94/16.68 tff(15419,plain,
% 24.94/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2))),
% 24.94/16.68 inference(modus_ponens,[status(thm)],[15418, 15417])).
% 24.94/16.68 tff(15420,plain,
% 24.94/16.68 (v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2))),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15419, 1830, 15341])).
% 24.94/16.68 tff(15421,plain,
% 24.94/16.68 (~v129(constB86, bitIndex2)),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15420, 15416])).
% 24.94/16.68 tff(15422,plain,
% 24.94/16.68 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15423,plain,
% 24.94/16.68 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))),
% 24.94/16.68 inference(quant_inst,[status(thm)],[])).
% 24.94/16.68 tff(15424,plain,
% 24.94/16.68 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86))),
% 24.94/16.68 inference(modus_ponens,[status(thm)],[15423, 15422])).
% 24.94/16.68 tff(15425,plain,
% 24.94/16.68 ((~v90(constB86, bitIndex2)) | (~v100(constB86))),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15424, 1845, 15421])).
% 24.94/16.68 tff(15426,plain,
% 24.94/16.68 (~v90(constB86, bitIndex2)),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15425, 15372])).
% 24.94/16.68 tff(15427,plain,
% 24.94/16.68 ((~v1(constB87)) <=> (~v1(constB87))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15428,axiom,(~v1(constB87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_87_1_1')).
% 24.94/16.68 tff(15429,plain,
% 24.94/16.68 (~v1(constB87)),
% 24.94/16.68 inference(modus_ponens,[status(thm)],[15428, 15427])).
% 24.94/16.68 tff(15430,plain,
% 24.94/16.68 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15431,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_86_1')).
% 24.94/16.68 tff(15432,plain,
% 24.94/16.68 (nextState(constB86, constB87)),
% 24.94/16.68 inference(modus_ponens,[status(thm)],[15431, 15430])).
% 24.94/16.68 tff(15433,plain,
% 24.94/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15434,plain,
% 24.94/16.68 (((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87)) <=> (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15435,plain,
% 24.94/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87))))),
% 24.94/16.68 inference(monotonicity,[status(thm)],[15434])).
% 24.94/16.68 tff(15436,plain,
% 24.94/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 24.94/16.68 inference(transitivity,[status(thm)],[15435, 15433])).
% 24.94/16.68 tff(15437,plain,
% 24.94/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))),
% 24.94/16.68 inference(quant_inst,[status(thm)],[])).
% 24.94/16.68 tff(15438,plain,
% 24.94/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87))),
% 24.94/16.68 inference(modus_ponens,[status(thm)],[15437, 15436])).
% 24.94/16.68 tff(15439,plain,
% 24.94/16.68 (~v101(constB87)),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15438, 860, 15432, 15429])).
% 24.94/16.68 tff(15440,plain,
% 24.94/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15441,plain,
% 24.94/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))),
% 24.94/16.68 inference(quant_inst,[status(thm)],[])).
% 24.94/16.68 tff(15442,plain,
% 24.94/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87))),
% 24.94/16.68 inference(modus_ponens,[status(thm)],[15441, 15440])).
% 24.94/16.68 tff(15443,plain,
% 24.94/16.68 (v101(constB87) | (~v100(constB87))),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15442, 877, 15432])).
% 24.94/16.68 tff(15444,plain,
% 24.94/16.68 (~v100(constB87)),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15443, 15439])).
% 24.94/16.68 tff(15445,plain,
% 24.94/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15446,plain,
% 24.94/16.68 (((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2))) <=> (v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15447,plain,
% 24.94/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2))))),
% 24.94/16.68 inference(monotonicity,[status(thm)],[15446])).
% 24.94/16.68 tff(15448,plain,
% 24.94/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 24.94/16.68 inference(transitivity,[status(thm)],[15447, 15445])).
% 24.94/16.68 tff(15449,plain,
% 24.94/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 24.94/16.68 inference(quant_inst,[status(thm)],[])).
% 24.94/16.68 tff(15450,plain,
% 24.94/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2))),
% 24.94/16.68 inference(modus_ponens,[status(thm)],[15449, 15448])).
% 24.94/16.68 tff(15451,plain,
% 24.94/16.68 (v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2))),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15450, 892, 15432])).
% 24.94/16.68 tff(15452,plain,
% 24.94/16.68 (v90(constB86, bitIndex2) | (~v90(constB87, bitIndex2))),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15451, 15444])).
% 24.94/16.68 tff(15453,plain,
% 24.94/16.68 (~v90(constB87, bitIndex2)),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15452, 15426])).
% 24.94/16.68 tff(15454,assumption,(~v90(constB87, bitIndex2)), introduced(assumption)).
% 24.94/16.68 tff(15455,assumption,(~v26(constB85)), introduced(assumption)).
% 24.94/16.68 tff(15456,assumption,(v130(constB85, bitIndex0)), introduced(assumption)).
% 24.94/16.68 tff(15457,plain,
% 24.94/16.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15458,plain,
% 24.94/16.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0))),
% 24.94/16.68 inference(quant_inst,[status(thm)],[])).
% 24.94/16.68 tff(15459,plain,
% 24.94/16.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0)),
% 24.94/16.68 inference(modus_ponens,[status(thm)],[15458, 15457])).
% 24.94/16.68 tff(15460,plain,
% 24.94/16.68 (v26(constB85) | v127(constB85, bitIndex0)),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15459, 1945, 15456])).
% 24.94/16.68 tff(15461,plain,
% 24.94/16.68 (v127(constB85, bitIndex0)),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15460, 15455])).
% 24.94/16.68 tff(15462,plain,
% 24.94/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15463,plain,
% 24.94/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0))),
% 24.94/16.68 inference(quant_inst,[status(thm)],[])).
% 24.94/16.68 tff(15464,plain,
% 24.94/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0)),
% 24.94/16.68 inference(modus_ponens,[status(thm)],[15463, 15462])).
% 24.94/16.68 tff(15465,plain,
% 24.94/16.68 ((~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0)),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15464, 1960, 15341])).
% 24.94/16.68 tff(15466,plain,
% 24.94/16.68 (v129(constB86, bitIndex0)),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15465, 15461])).
% 24.94/16.68 tff(15467,assumption,(v100(constB86)), introduced(assumption)).
% 24.94/16.68 tff(15468,plain,
% 24.94/16.68 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15469,plain,
% 24.94/16.68 ((v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0))) <=> (v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15470,plain,
% 24.94/16.68 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86))))),
% 24.94/16.68 inference(monotonicity,[status(thm)],[15469])).
% 24.94/16.68 tff(15471,plain,
% 24.94/16.68 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))),
% 24.94/16.68 inference(transitivity,[status(thm)],[15470, 15468])).
% 24.94/16.68 tff(15472,plain,
% 24.94/16.68 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0)))),
% 24.94/16.68 inference(quant_inst,[status(thm)],[])).
% 24.94/16.68 tff(15473,plain,
% 24.94/16.68 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86))),
% 24.94/16.68 inference(modus_ponens,[status(thm)],[15472, 15471])).
% 24.94/16.68 tff(15474,plain,
% 24.94/16.68 (v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0))),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15473, 1975, 15467])).
% 24.94/16.68 tff(15475,plain,
% 24.94/16.68 (v90(constB86, bitIndex0)),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15474, 15466])).
% 24.94/16.68 tff(15476,plain,
% 24.94/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15477,plain,
% 24.94/16.68 (((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0)) <=> ((~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15478,plain,
% 24.94/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0)))),
% 24.94/16.68 inference(monotonicity,[status(thm)],[15477])).
% 24.94/16.68 tff(15479,plain,
% 24.94/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))),
% 24.94/16.68 inference(transitivity,[status(thm)],[15478, 15476])).
% 24.94/16.68 tff(15480,plain,
% 24.94/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0))),
% 24.94/16.68 inference(quant_inst,[status(thm)],[])).
% 24.94/16.68 tff(15481,plain,
% 24.94/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0)),
% 24.94/16.68 inference(modus_ponens,[status(thm)],[15480, 15479])).
% 24.94/16.68 tff(15482,plain,
% 24.94/16.68 ((~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0)),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15481, 1993, 15432])).
% 24.94/16.68 tff(15483,plain,
% 24.94/16.68 ((~v90(constB86, bitIndex0)) | v90(constB87, bitIndex0)),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15482, 15444])).
% 24.94/16.68 tff(15484,plain,
% 24.94/16.68 (v90(constB87, bitIndex0)),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15483, 15475])).
% 24.94/16.68 tff(15485,assumption,(~v130(constB85, bitIndex1)), introduced(assumption)).
% 24.94/16.68 tff(15486,plain,
% 24.94/16.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15487,plain,
% 24.94/16.68 ((v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1))) <=> ((~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15488,plain,
% 24.94/16.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1)))),
% 24.94/16.68 inference(monotonicity,[status(thm)],[15487])).
% 24.94/16.68 tff(15489,plain,
% 24.94/16.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))),
% 24.94/16.68 inference(transitivity,[status(thm)],[15488, 15486])).
% 24.94/16.68 tff(15490,plain,
% 24.94/16.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1)))),
% 24.94/16.68 inference(quant_inst,[status(thm)],[])).
% 24.94/16.68 tff(15491,plain,
% 24.94/16.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1)),
% 24.94/16.68 inference(modus_ponens,[status(thm)],[15490, 15489])).
% 24.94/16.68 tff(15492,plain,
% 24.94/16.68 ((~v127(constB85, bitIndex1)) | v26(constB85)),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15491, 1270, 15485])).
% 24.94/16.68 tff(15493,plain,
% 24.94/16.68 (~v127(constB85, bitIndex1)),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15492, 15455])).
% 24.94/16.68 tff(15494,plain,
% 24.94/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1)))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15495,plain,
% 24.94/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1)))),
% 24.94/16.68 inference(quant_inst,[status(thm)],[])).
% 24.94/16.68 tff(15496,plain,
% 24.94/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1))),
% 24.94/16.68 inference(modus_ponens,[status(thm)],[15495, 15494])).
% 24.94/16.68 tff(15497,plain,
% 24.94/16.68 (v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1))),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15496, 1288, 15341])).
% 24.94/16.68 tff(15498,plain,
% 24.94/16.68 (~v129(constB86, bitIndex1)),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15497, 15493])).
% 24.94/16.68 tff(15499,plain,
% 24.94/16.68 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15500,plain,
% 24.94/16.68 (((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1)) <=> ((~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15501,plain,
% 24.94/16.68 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86))))),
% 24.94/16.68 inference(monotonicity,[status(thm)],[15500])).
% 24.94/16.68 tff(15502,plain,
% 24.94/16.68 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))),
% 24.94/16.68 inference(transitivity,[status(thm)],[15501, 15499])).
% 24.94/16.68 tff(15503,plain,
% 24.94/16.68 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1))),
% 24.94/16.68 inference(quant_inst,[status(thm)],[])).
% 24.94/16.68 tff(15504,plain,
% 24.94/16.68 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86))),
% 24.94/16.68 inference(modus_ponens,[status(thm)],[15503, 15502])).
% 24.94/16.68 tff(15505,plain,
% 24.94/16.68 ((~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1)),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15504, 1303, 15467])).
% 24.94/16.68 tff(15506,plain,
% 24.94/16.68 (~v90(constB86, bitIndex1)),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15505, 15498])).
% 24.94/16.68 tff(15507,plain,
% 24.94/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15508,plain,
% 24.94/16.68 (((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1))) <=> (v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15509,plain,
% 24.94/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1))))),
% 24.94/16.68 inference(monotonicity,[status(thm)],[15508])).
% 24.94/16.68 tff(15510,plain,
% 24.94/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 24.94/16.68 inference(transitivity,[status(thm)],[15509, 15507])).
% 24.94/16.68 tff(15511,plain,
% 24.94/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 24.94/16.68 inference(quant_inst,[status(thm)],[])).
% 24.94/16.68 tff(15512,plain,
% 24.94/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1))),
% 24.94/16.68 inference(modus_ponens,[status(thm)],[15511, 15510])).
% 24.94/16.68 tff(15513,plain,
% 24.94/16.68 (v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1))),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15512, 913, 15432])).
% 24.94/16.68 tff(15514,plain,
% 24.94/16.68 (v90(constB86, bitIndex1) | (~v90(constB87, bitIndex1))),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15513, 15444])).
% 24.94/16.68 tff(15515,plain,
% 24.94/16.68 (~v90(constB87, bitIndex1)),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15514, 15506])).
% 24.94/16.68 tff(15516,assumption,(~v120(constB87)), introduced(assumption)).
% 24.94/16.68 tff(15517,plain,
% 24.94/16.68 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15518,plain,
% 24.94/16.68 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))),
% 24.94/16.68 inference(quant_inst,[status(thm)],[])).
% 24.94/16.68 tff(15519,plain,
% 24.94/16.68 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87)),
% 24.94/16.68 inference(modus_ponens,[status(thm)],[15518, 15517])).
% 24.94/16.68 tff(15520,plain,
% 24.94/16.68 ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2)),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15519, 2012, 15516])).
% 24.94/16.68 tff(15521,plain,
% 24.94/16.68 ($false),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15520, 15515, 15484, 15454])).
% 24.94/16.68 tff(15522,plain,(v26(constB85) | v90(constB87, bitIndex2) | v120(constB87) | (~v100(constB86)) | v130(constB85, bitIndex1) | (~v130(constB85, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 24.94/16.68 tff(15523,plain,
% 24.94/16.68 (v90(constB87, bitIndex2) | v120(constB87) | (~v100(constB86)) | v130(constB85, bitIndex1) | (~v130(constB85, bitIndex0))),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15522, 15323])).
% 24.94/16.68 tff(15524,plain,
% 24.94/16.68 (v120(constB87)),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15523, 15453, 15404, 15400, 15372])).
% 24.94/16.68 tff(15525,plain,
% 24.94/16.68 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB87) | (~v120(constB87)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB87) | (~v120(constB87)))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15526,plain,
% 24.94/16.68 (((~v120(constB87)) | v118(constB87)) <=> (v118(constB87) | (~v120(constB87)))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15527,plain,
% 24.94/16.68 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB87)) | v118(constB87))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB87) | (~v120(constB87))))),
% 24.94/16.68 inference(monotonicity,[status(thm)],[15526])).
% 24.94/16.68 tff(15528,plain,
% 24.94/16.68 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB87)) | v118(constB87))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB87) | (~v120(constB87)))),
% 24.94/16.68 inference(transitivity,[status(thm)],[15527, 15525])).
% 24.94/16.68 tff(15529,plain,
% 24.94/16.68 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB87)) | v118(constB87))),
% 24.94/16.68 inference(quant_inst,[status(thm)],[])).
% 24.94/16.68 tff(15530,plain,
% 24.94/16.68 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB87) | (~v120(constB87))),
% 24.94/16.68 inference(modus_ponens,[status(thm)],[15529, 15528])).
% 24.94/16.68 tff(15531,plain,
% 24.94/16.68 (v118(constB87)),
% 24.94/16.68 inference(unit_resolution,[status(thm)],[15530, 2210, 15524])).
% 24.94/16.68 tff(15532,plain,
% 24.94/16.68 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB87) | (~v118(constB87)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB87) | (~v118(constB87)))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15533,plain,
% 24.94/16.68 (((~v118(constB87)) | v117(constB87)) <=> (v117(constB87) | (~v118(constB87)))),
% 24.94/16.68 inference(rewrite,[status(thm)],[])).
% 24.94/16.68 tff(15534,plain,
% 24.94/16.68 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB87)) | v117(constB87))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB87) | (~v118(constB87))))),
% 24.94/16.68 inference(monotonicity,[status(thm)],[15533])).
% 24.94/16.68 tff(15535,plain,
% 24.94/16.68 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB87)) | v117(constB87))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB87) | (~v118(constB87)))),
% 24.94/16.68 inference(transitivity,[status(thm)],[15534, 15532])).
% 24.94/16.68 tff(15536,plain,
% 24.94/16.68 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB87)) | v117(constB87))),
% 24.94/16.68 inference(quant_inst,[status(thm)],[])).
% 24.94/16.68 tff(15537,plain,
% 24.94/16.68 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB87) | (~v118(constB87))),
% 24.94/16.69 inference(modus_ponens,[status(thm)],[15536, 15535])).
% 24.94/16.69 tff(15538,plain,
% 24.94/16.69 (v117(constB87)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15537, 980, 15531])).
% 24.94/16.69 tff(15539,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB87) | (~v117(constB87)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB87) | (~v117(constB87)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15540,plain,
% 24.94/16.69 (((~v117(constB87)) | v116(constB87)) <=> (v116(constB87) | (~v117(constB87)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15541,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB87)) | v116(constB87))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB87) | (~v117(constB87))))),
% 24.94/16.69 inference(monotonicity,[status(thm)],[15540])).
% 24.94/16.69 tff(15542,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB87)) | v116(constB87))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB87) | (~v117(constB87)))),
% 24.94/16.69 inference(transitivity,[status(thm)],[15541, 15539])).
% 24.94/16.69 tff(15543,plain,
% 24.94/16.69 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB87)) | v116(constB87))),
% 24.94/16.69 inference(quant_inst,[status(thm)],[])).
% 24.94/16.69 tff(15544,plain,
% 24.94/16.69 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB87) | (~v117(constB87))),
% 24.94/16.69 inference(modus_ponens,[status(thm)],[15543, 15542])).
% 24.94/16.69 tff(15545,plain,
% 24.94/16.69 (v116(constB87)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15544, 994, 15538])).
% 24.94/16.69 tff(15546,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB87) | (~v116(constB87)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB87) | (~v116(constB87)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15547,plain,
% 24.94/16.69 (((~v116(constB87)) | v115(constB87)) <=> (v115(constB87) | (~v116(constB87)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15548,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB87)) | v115(constB87))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB87) | (~v116(constB87))))),
% 24.94/16.69 inference(monotonicity,[status(thm)],[15547])).
% 24.94/16.69 tff(15549,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB87)) | v115(constB87))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB87) | (~v116(constB87)))),
% 24.94/16.69 inference(transitivity,[status(thm)],[15548, 15546])).
% 24.94/16.69 tff(15550,plain,
% 24.94/16.69 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB87)) | v115(constB87))),
% 24.94/16.69 inference(quant_inst,[status(thm)],[])).
% 24.94/16.69 tff(15551,plain,
% 24.94/16.69 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB87) | (~v116(constB87))),
% 24.94/16.69 inference(modus_ponens,[status(thm)],[15550, 15549])).
% 24.94/16.69 tff(15552,plain,
% 24.94/16.69 (v115(constB87)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15551, 1008, 15545])).
% 24.94/16.69 tff(15553,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB87) | (~v115(constB87)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB87) | (~v115(constB87)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15554,plain,
% 24.94/16.69 (((~v115(constB87)) | v114(constB87)) <=> (v114(constB87) | (~v115(constB87)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15555,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB87)) | v114(constB87))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB87) | (~v115(constB87))))),
% 24.94/16.69 inference(monotonicity,[status(thm)],[15554])).
% 24.94/16.69 tff(15556,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB87)) | v114(constB87))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB87) | (~v115(constB87)))),
% 24.94/16.69 inference(transitivity,[status(thm)],[15555, 15553])).
% 24.94/16.69 tff(15557,plain,
% 24.94/16.69 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB87)) | v114(constB87))),
% 24.94/16.69 inference(quant_inst,[status(thm)],[])).
% 24.94/16.69 tff(15558,plain,
% 24.94/16.69 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB87) | (~v115(constB87))),
% 24.94/16.69 inference(modus_ponens,[status(thm)],[15557, 15556])).
% 24.94/16.69 tff(15559,plain,
% 24.94/16.69 (v114(constB87)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15558, 1022, 15552])).
% 24.94/16.69 tff(15560,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB87) | (~v114(constB87)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB87) | (~v114(constB87)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15561,plain,
% 24.94/16.69 (((~v114(constB87)) | v113(constB87)) <=> (v113(constB87) | (~v114(constB87)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15562,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB87)) | v113(constB87))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB87) | (~v114(constB87))))),
% 24.94/16.69 inference(monotonicity,[status(thm)],[15561])).
% 24.94/16.69 tff(15563,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB87)) | v113(constB87))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB87) | (~v114(constB87)))),
% 24.94/16.69 inference(transitivity,[status(thm)],[15562, 15560])).
% 24.94/16.69 tff(15564,plain,
% 24.94/16.69 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB87)) | v113(constB87))),
% 24.94/16.69 inference(quant_inst,[status(thm)],[])).
% 24.94/16.69 tff(15565,plain,
% 24.94/16.69 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB87) | (~v114(constB87))),
% 24.94/16.69 inference(modus_ponens,[status(thm)],[15564, 15563])).
% 24.94/16.69 tff(15566,plain,
% 24.94/16.69 (v113(constB87)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15565, 1036, 15559])).
% 24.94/16.69 tff(15567,assumption,(~v108(constB87)), introduced(assumption)).
% 24.94/16.69 tff(15568,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB87) | (~v112(constB87)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v112(constB87)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15569,plain,
% 24.94/16.69 (((~v112(constB87)) | v108(constB87)) <=> (v108(constB87) | (~v112(constB87)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15570,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB87)) | v108(constB87))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB87) | (~v112(constB87))))),
% 24.94/16.69 inference(monotonicity,[status(thm)],[15569])).
% 24.94/16.69 tff(15571,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB87)) | v108(constB87))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v112(constB87)))),
% 24.94/16.69 inference(transitivity,[status(thm)],[15570, 15568])).
% 24.94/16.69 tff(15572,plain,
% 24.94/16.69 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB87)) | v108(constB87))),
% 24.94/16.69 inference(quant_inst,[status(thm)],[])).
% 24.94/16.69 tff(15573,plain,
% 24.94/16.69 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v112(constB87))),
% 24.94/16.69 inference(modus_ponens,[status(thm)],[15572, 15571])).
% 24.94/16.69 tff(15574,plain,
% 24.94/16.69 (~v112(constB87)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15573, 1062, 15567])).
% 24.94/16.69 tff(15575,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB87) | (~v26(constB87)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v26(constB87)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15576,plain,
% 24.94/16.69 (((~v26(constB87)) | v108(constB87)) <=> (v108(constB87) | (~v26(constB87)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15577,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB87)) | v108(constB87))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB87) | (~v26(constB87))))),
% 24.94/16.69 inference(monotonicity,[status(thm)],[15576])).
% 24.94/16.69 tff(15578,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB87)) | v108(constB87))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v26(constB87)))),
% 24.94/16.69 inference(transitivity,[status(thm)],[15577, 15575])).
% 24.94/16.69 tff(15579,plain,
% 24.94/16.69 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB87)) | v108(constB87))),
% 24.94/16.69 inference(quant_inst,[status(thm)],[])).
% 24.94/16.69 tff(15580,plain,
% 24.94/16.69 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v26(constB87))),
% 24.94/16.69 inference(modus_ponens,[status(thm)],[15579, 15578])).
% 24.94/16.69 tff(15581,plain,
% 24.94/16.69 (~v26(constB87)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15580, 2441, 15567])).
% 24.94/16.69 tff(15582,assumption,(v113(constB87)), introduced(assumption)).
% 24.94/16.69 tff(15583,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | v112(constB87) | (~v113(constB87)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | v112(constB87) | (~v113(constB87)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15584,plain,
% 24.94/16.69 ((v26(constB87) | (~v113(constB87)) | v112(constB87)) <=> (v26(constB87) | v112(constB87) | (~v113(constB87)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15585,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | v112(constB87) | (~v113(constB87))))),
% 24.94/16.69 inference(monotonicity,[status(thm)],[15584])).
% 24.94/16.69 tff(15586,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | v112(constB87) | (~v113(constB87)))),
% 24.94/16.69 inference(transitivity,[status(thm)],[15585, 15583])).
% 24.94/16.69 tff(15587,plain,
% 24.94/16.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))),
% 24.94/16.69 inference(quant_inst,[status(thm)],[])).
% 24.94/16.69 tff(15588,plain,
% 24.94/16.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | v112(constB87) | (~v113(constB87))),
% 24.94/16.69 inference(modus_ponens,[status(thm)],[15587, 15586])).
% 24.94/16.69 tff(15589,plain,
% 24.94/16.69 (v26(constB87) | v112(constB87)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15588, 1050, 15582])).
% 24.94/16.69 tff(15590,plain,
% 24.94/16.69 ($false),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15589, 15581, 15574])).
% 24.94/16.69 tff(15591,plain,(v108(constB87) | (~v113(constB87))), inference(lemma,lemma(discharge,[]))).
% 24.94/16.69 tff(15592,plain,
% 24.94/16.69 (v108(constB87)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15591, 15566])).
% 24.94/16.69 tff(15593,plain,
% 24.94/16.69 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15594,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_87_1')).
% 24.94/16.69 tff(15595,plain,
% 24.94/16.69 (nextState(constB87, constB88)),
% 24.94/16.69 inference(modus_ponens,[status(thm)],[15594, 15593])).
% 24.94/16.69 tff(15596,plain,
% 24.94/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15597,plain,
% 24.94/16.69 (((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88)) <=> ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15598,plain,
% 24.94/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87))))),
% 24.94/16.69 inference(monotonicity,[status(thm)],[15597])).
% 24.94/16.69 tff(15599,plain,
% 24.94/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 24.94/16.69 inference(transitivity,[status(thm)],[15598, 15596])).
% 24.94/16.69 tff(15600,plain,
% 24.94/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))),
% 24.94/16.69 inference(quant_inst,[status(thm)],[])).
% 24.94/16.69 tff(15601,plain,
% 24.94/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87))),
% 24.94/16.69 inference(modus_ponens,[status(thm)],[15600, 15599])).
% 24.94/16.69 tff(15602,plain,
% 24.94/16.69 (v110(constB88) | (~v108(constB87))),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15601, 1082, 15595])).
% 24.94/16.69 tff(15603,plain,
% 24.94/16.69 (v110(constB88)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15602, 15592])).
% 24.94/16.69 tff(15604,plain,
% 24.94/16.69 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15605,plain,
% 24.94/16.69 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))),
% 24.94/16.69 inference(quant_inst,[status(thm)],[])).
% 24.94/16.69 tff(15606,plain,
% 24.94/16.69 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88))),
% 24.94/16.69 inference(modus_ponens,[status(thm)],[15605, 15604])).
% 24.94/16.69 tff(15607,plain,
% 24.94/16.69 (~v104(constB88)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15606, 1100, 15595, 15429])).
% 24.94/16.69 tff(15608,plain,
% 24.94/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15609,plain,
% 24.94/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))),
% 24.94/16.69 inference(quant_inst,[status(thm)],[])).
% 24.94/16.69 tff(15610,plain,
% 24.94/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v102(constB88) | v104(constB88)),
% 24.94/16.69 inference(modus_ponens,[status(thm)],[15609, 15608])).
% 24.94/16.69 tff(15611,plain,
% 24.94/16.69 (v102(constB88) | v104(constB88)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15610, 1114, 15595])).
% 24.94/16.69 tff(15612,plain,
% 24.94/16.69 (v102(constB88)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15611, 15607])).
% 24.94/16.69 tff(15613,plain,
% 24.94/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15614,plain,
% 24.94/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))),
% 24.94/16.69 inference(quant_inst,[status(thm)],[])).
% 24.94/16.69 tff(15615,plain,
% 24.94/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88))),
% 24.94/16.69 inference(modus_ponens,[status(thm)],[15614, 15613])).
% 24.94/16.69 tff(15616,plain,
% 24.94/16.69 (v101(constB88) | (~v102(constB88))),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15615, 1129, 15595, 680])).
% 24.94/16.69 tff(15617,plain,
% 24.94/16.69 (v101(constB88)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15616, 15612])).
% 24.94/16.69 tff(15618,plain,
% 24.94/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15619,plain,
% 24.94/16.69 (((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88)) <=> ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15620,plain,
% 24.94/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88))))),
% 24.94/16.69 inference(monotonicity,[status(thm)],[15619])).
% 24.94/16.69 tff(15621,plain,
% 24.94/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 24.94/16.69 inference(transitivity,[status(thm)],[15620, 15618])).
% 24.94/16.69 tff(15622,plain,
% 24.94/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))),
% 24.94/16.69 inference(quant_inst,[status(thm)],[])).
% 24.94/16.69 tff(15623,plain,
% 24.94/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 24.94/16.69 inference(modus_ponens,[status(thm)],[15622, 15621])).
% 24.94/16.69 tff(15624,plain,
% 24.94/16.69 (v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15623, 1144, 15595])).
% 24.94/16.69 tff(15625,plain,
% 24.94/16.69 (v100(constB88) | (~v110(constB88))),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15624, 15617])).
% 24.94/16.69 tff(15626,plain,
% 24.94/16.69 (v100(constB88)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15625, 15603])).
% 24.94/16.69 tff(15627,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB87)) | (~v130(constB87, bitIndex2)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15628,plain,
% 24.94/16.69 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex2)))),
% 24.94/16.69 inference(quant_inst,[status(thm)],[])).
% 24.94/16.69 tff(15629,plain,
% 24.94/16.69 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB87)) | (~v130(constB87, bitIndex2))),
% 24.94/16.69 inference(modus_ponens,[status(thm)],[15628, 15627])).
% 24.94/16.69 tff(15630,plain,
% 24.94/16.69 (~v130(constB87, bitIndex2)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15629, 2231, 15524])).
% 24.94/16.69 tff(15631,assumption,(v26(constB87)), introduced(assumption)).
% 24.94/16.69 tff(15632,plain,
% 24.94/16.69 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB87))),
% 24.94/16.69 inference(quant_inst,[status(thm)],[])).
% 24.94/16.69 tff(15633,plain,
% 24.94/16.69 ($false),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15632, 797, 15631])).
% 24.94/16.69 tff(15634,plain,(~v26(constB87)), inference(lemma,lemma(discharge,[]))).
% 24.94/16.69 tff(15635,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15636,plain,
% 24.94/16.69 ((v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2))) <=> ((~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15637,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2)))),
% 24.94/16.69 inference(monotonicity,[status(thm)],[15636])).
% 24.94/16.69 tff(15638,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))),
% 24.94/16.69 inference(transitivity,[status(thm)],[15637, 15635])).
% 24.94/16.69 tff(15639,plain,
% 24.94/16.69 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2)))),
% 24.94/16.69 inference(quant_inst,[status(thm)],[])).
% 24.94/16.69 tff(15640,plain,
% 24.94/16.69 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2)),
% 24.94/16.69 inference(modus_ponens,[status(thm)],[15639, 15638])).
% 24.94/16.69 tff(15641,plain,
% 24.94/16.69 ((~v127(constB87, bitIndex2)) | v130(constB87, bitIndex2)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15640, 1812, 15634])).
% 24.94/16.69 tff(15642,plain,
% 24.94/16.69 (~v127(constB87, bitIndex2)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15641, 15630])).
% 24.94/16.69 tff(15643,plain,
% 24.94/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15644,plain,
% 24.94/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2)))),
% 24.94/16.69 inference(quant_inst,[status(thm)],[])).
% 24.94/16.69 tff(15645,plain,
% 24.94/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2))),
% 24.94/16.69 inference(modus_ponens,[status(thm)],[15644, 15643])).
% 24.94/16.69 tff(15646,plain,
% 24.94/16.69 (v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2))),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15645, 1830, 15595])).
% 24.94/16.69 tff(15647,plain,
% 24.94/16.69 (~v129(constB88, bitIndex2)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15646, 15642])).
% 24.94/16.69 tff(15648,plain,
% 24.94/16.69 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15649,plain,
% 24.94/16.69 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))),
% 24.94/16.69 inference(quant_inst,[status(thm)],[])).
% 24.94/16.69 tff(15650,plain,
% 24.94/16.69 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88))),
% 24.94/16.69 inference(modus_ponens,[status(thm)],[15649, 15648])).
% 24.94/16.69 tff(15651,plain,
% 24.94/16.69 ((~v90(constB88, bitIndex2)) | (~v100(constB88))),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15650, 1845, 15647])).
% 24.94/16.69 tff(15652,plain,
% 24.94/16.69 (~v90(constB88, bitIndex2)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15651, 15626])).
% 24.94/16.69 tff(15653,plain,
% 24.94/16.69 ((~v1(constB89)) <=> (~v1(constB89))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15654,axiom,(~v1(constB89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_89_1_1')).
% 24.94/16.69 tff(15655,plain,
% 24.94/16.69 (~v1(constB89)),
% 24.94/16.69 inference(modus_ponens,[status(thm)],[15654, 15653])).
% 24.94/16.69 tff(15656,plain,
% 24.94/16.69 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15657,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_88_1')).
% 24.94/16.69 tff(15658,plain,
% 24.94/16.69 (nextState(constB88, constB89)),
% 24.94/16.69 inference(modus_ponens,[status(thm)],[15657, 15656])).
% 24.94/16.69 tff(15659,plain,
% 24.94/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15660,plain,
% 24.94/16.69 (((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89)) <=> (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15661,plain,
% 24.94/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89))))),
% 24.94/16.69 inference(monotonicity,[status(thm)],[15660])).
% 24.94/16.69 tff(15662,plain,
% 24.94/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 24.94/16.69 inference(transitivity,[status(thm)],[15661, 15659])).
% 24.94/16.69 tff(15663,plain,
% 24.94/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))),
% 24.94/16.69 inference(quant_inst,[status(thm)],[])).
% 24.94/16.69 tff(15664,plain,
% 24.94/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89))),
% 24.94/16.69 inference(modus_ponens,[status(thm)],[15663, 15662])).
% 24.94/16.69 tff(15665,plain,
% 24.94/16.69 (~v101(constB89)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15664, 860, 15658, 15655])).
% 24.94/16.69 tff(15666,plain,
% 24.94/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15667,plain,
% 24.94/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))),
% 24.94/16.69 inference(quant_inst,[status(thm)],[])).
% 24.94/16.69 tff(15668,plain,
% 24.94/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89))),
% 24.94/16.69 inference(modus_ponens,[status(thm)],[15667, 15666])).
% 24.94/16.69 tff(15669,plain,
% 24.94/16.69 (v101(constB89) | (~v100(constB89))),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15668, 877, 15658])).
% 24.94/16.69 tff(15670,plain,
% 24.94/16.69 (~v100(constB89)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15669, 15665])).
% 24.94/16.69 tff(15671,plain,
% 24.94/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15672,plain,
% 24.94/16.69 (((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2))) <=> (v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15673,plain,
% 24.94/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2))))),
% 24.94/16.69 inference(monotonicity,[status(thm)],[15672])).
% 24.94/16.69 tff(15674,plain,
% 24.94/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 24.94/16.69 inference(transitivity,[status(thm)],[15673, 15671])).
% 24.94/16.69 tff(15675,plain,
% 24.94/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 24.94/16.69 inference(quant_inst,[status(thm)],[])).
% 24.94/16.69 tff(15676,plain,
% 24.94/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2))),
% 24.94/16.69 inference(modus_ponens,[status(thm)],[15675, 15674])).
% 24.94/16.69 tff(15677,plain,
% 24.94/16.69 (v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2))),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15676, 892, 15658])).
% 24.94/16.69 tff(15678,plain,
% 24.94/16.69 (v90(constB88, bitIndex2) | (~v90(constB89, bitIndex2))),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15677, 15670])).
% 24.94/16.69 tff(15679,plain,
% 24.94/16.69 (~v90(constB89, bitIndex2)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15678, 15652])).
% 24.94/16.69 tff(15680,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB87)) | v130(constB87, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB87)) | v130(constB87, bitIndex1))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15681,plain,
% 24.94/16.69 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB87)) | v130(constB87, bitIndex1))),
% 24.94/16.69 inference(quant_inst,[status(thm)],[])).
% 24.94/16.69 tff(15682,plain,
% 24.94/16.69 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB87)) | v130(constB87, bitIndex1)),
% 24.94/16.69 inference(modus_ponens,[status(thm)],[15681, 15680])).
% 24.94/16.69 tff(15683,plain,
% 24.94/16.69 (v130(constB87, bitIndex1)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15682, 2034, 15524])).
% 24.94/16.69 tff(15684,plain,
% 24.94/16.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15685,plain,
% 24.94/16.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1))),
% 24.94/16.69 inference(quant_inst,[status(thm)],[])).
% 24.94/16.69 tff(15686,plain,
% 24.94/16.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1)),
% 24.94/16.69 inference(modus_ponens,[status(thm)],[15685, 15684])).
% 24.94/16.69 tff(15687,plain,
% 24.94/16.69 ((~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15686, 1553, 15634])).
% 24.94/16.69 tff(15688,plain,
% 24.94/16.69 (v127(constB87, bitIndex1)),
% 24.94/16.69 inference(unit_resolution,[status(thm)],[15687, 15683])).
% 24.94/16.69 tff(15689,plain,
% 24.94/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1))),
% 24.94/16.69 inference(rewrite,[status(thm)],[])).
% 24.94/16.69 tff(15690,plain,
% 24.94/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1))),
% 24.94/16.69 inference(quant_inst,[status(thm)],[])).
% 24.94/16.69 tff(15691,plain,
% 24.94/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1)),
% 24.94/16.70 inference(modus_ponens,[status(thm)],[15690, 15689])).
% 24.94/16.70 tff(15692,plain,
% 24.94/16.70 ((~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15691, 1568, 15595])).
% 24.94/16.70 tff(15693,plain,
% 24.94/16.70 (v129(constB88, bitIndex1)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15692, 15688])).
% 24.94/16.70 tff(15694,plain,
% 24.94/16.70 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15695,plain,
% 24.94/16.70 ((v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1))) <=> (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15696,plain,
% 24.94/16.70 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88))))),
% 24.94/16.70 inference(monotonicity,[status(thm)],[15695])).
% 24.94/16.70 tff(15697,plain,
% 24.94/16.70 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))),
% 24.94/16.70 inference(transitivity,[status(thm)],[15696, 15694])).
% 24.94/16.70 tff(15698,plain,
% 24.94/16.70 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1)))),
% 24.94/16.70 inference(quant_inst,[status(thm)],[])).
% 24.94/16.70 tff(15699,plain,
% 24.94/16.70 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88))),
% 24.94/16.70 inference(modus_ponens,[status(thm)],[15698, 15697])).
% 24.94/16.70 tff(15700,plain,
% 24.94/16.70 (v90(constB88, bitIndex1) | (~v100(constB88))),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15699, 1583, 15693])).
% 24.94/16.70 tff(15701,plain,
% 24.94/16.70 (v90(constB88, bitIndex1)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15700, 15626])).
% 24.94/16.70 tff(15702,plain,
% 24.94/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15703,plain,
% 24.94/16.70 (((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1)) <=> ((~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15704,plain,
% 24.94/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1)))),
% 24.94/16.70 inference(monotonicity,[status(thm)],[15703])).
% 24.94/16.70 tff(15705,plain,
% 24.94/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))),
% 24.94/16.70 inference(transitivity,[status(thm)],[15704, 15702])).
% 24.94/16.70 tff(15706,plain,
% 24.94/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1))),
% 24.94/16.70 inference(quant_inst,[status(thm)],[])).
% 24.94/16.70 tff(15707,plain,
% 24.94/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1)),
% 24.94/16.70 inference(modus_ponens,[status(thm)],[15706, 15705])).
% 24.94/16.70 tff(15708,plain,
% 24.94/16.70 ((~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15707, 1601, 15658])).
% 24.94/16.70 tff(15709,plain,
% 24.94/16.70 ((~v90(constB88, bitIndex1)) | v90(constB89, bitIndex1)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15708, 15670])).
% 24.94/16.70 tff(15710,plain,
% 24.94/16.70 (v90(constB89, bitIndex1)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15709, 15701])).
% 24.94/16.70 tff(15711,plain,
% 24.94/16.70 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB87)) | (~v130(constB87, bitIndex0)))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15712,plain,
% 24.94/16.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex0)))),
% 24.94/16.70 inference(quant_inst,[status(thm)],[])).
% 24.94/16.70 tff(15713,plain,
% 24.94/16.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB87)) | (~v130(constB87, bitIndex0))),
% 24.94/16.70 inference(modus_ponens,[status(thm)],[15712, 15711])).
% 24.94/16.70 tff(15714,plain,
% 24.94/16.70 (~v130(constB87, bitIndex0)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15713, 2023, 15524])).
% 24.94/16.70 tff(15715,plain,
% 24.94/16.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15716,plain,
% 24.94/16.70 ((v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0))) <=> ((~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15717,plain,
% 24.94/16.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0)))),
% 24.94/16.70 inference(monotonicity,[status(thm)],[15716])).
% 24.94/16.70 tff(15718,plain,
% 24.94/16.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))),
% 24.94/16.70 inference(transitivity,[status(thm)],[15717, 15715])).
% 24.94/16.70 tff(15719,plain,
% 24.94/16.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0)))),
% 24.94/16.70 inference(quant_inst,[status(thm)],[])).
% 24.94/16.70 tff(15720,plain,
% 24.94/16.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0)),
% 24.94/16.70 inference(modus_ponens,[status(thm)],[15719, 15718])).
% 24.94/16.70 tff(15721,plain,
% 24.94/16.70 ((~v127(constB87, bitIndex0)) | v130(constB87, bitIndex0)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15720, 1341, 15634])).
% 24.94/16.70 tff(15722,plain,
% 24.94/16.70 (~v127(constB87, bitIndex0)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15721, 15714])).
% 24.94/16.70 tff(15723,plain,
% 24.94/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0)))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15724,plain,
% 24.94/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0)))),
% 24.94/16.70 inference(quant_inst,[status(thm)],[])).
% 24.94/16.70 tff(15725,plain,
% 24.94/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0))),
% 24.94/16.70 inference(modus_ponens,[status(thm)],[15724, 15723])).
% 24.94/16.70 tff(15726,plain,
% 24.94/16.70 (v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0))),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15725, 1359, 15595])).
% 24.94/16.70 tff(15727,plain,
% 24.94/16.70 (~v129(constB88, bitIndex0)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15726, 15722])).
% 24.94/16.70 tff(15728,plain,
% 24.94/16.70 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15729,plain,
% 24.94/16.70 (((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0)) <=> ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15730,plain,
% 24.94/16.70 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88))))),
% 24.94/16.70 inference(monotonicity,[status(thm)],[15729])).
% 24.94/16.70 tff(15731,plain,
% 24.94/16.70 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))),
% 24.94/16.70 inference(transitivity,[status(thm)],[15730, 15728])).
% 24.94/16.70 tff(15732,plain,
% 24.94/16.70 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0))),
% 24.94/16.70 inference(quant_inst,[status(thm)],[])).
% 24.94/16.70 tff(15733,plain,
% 24.94/16.70 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88))),
% 24.94/16.70 inference(modus_ponens,[status(thm)],[15732, 15731])).
% 24.94/16.70 tff(15734,plain,
% 24.94/16.70 ((~v90(constB88, bitIndex0)) | (~v100(constB88))),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15733, 1374, 15727])).
% 24.94/16.70 tff(15735,plain,
% 24.94/16.70 (~v90(constB88, bitIndex0)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15734, 15626])).
% 24.94/16.70 tff(15736,plain,
% 24.94/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15737,plain,
% 24.94/16.70 (((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0))) <=> (v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15738,plain,
% 24.94/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0))))),
% 24.94/16.70 inference(monotonicity,[status(thm)],[15737])).
% 24.94/16.70 tff(15739,plain,
% 24.94/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 24.94/16.70 inference(transitivity,[status(thm)],[15738, 15736])).
% 24.94/16.70 tff(15740,plain,
% 24.94/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 24.94/16.70 inference(quant_inst,[status(thm)],[])).
% 24.94/16.70 tff(15741,plain,
% 24.94/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0))),
% 24.94/16.70 inference(modus_ponens,[status(thm)],[15740, 15739])).
% 24.94/16.70 tff(15742,plain,
% 24.94/16.70 (v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0))),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15741, 934, 15658])).
% 24.94/16.70 tff(15743,plain,
% 24.94/16.70 (v90(constB88, bitIndex0) | (~v90(constB89, bitIndex0))),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15742, 15670])).
% 24.94/16.70 tff(15744,plain,
% 24.94/16.70 (~v90(constB89, bitIndex0)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15743, 15735])).
% 24.94/16.70 tff(15745,plain,
% 24.94/16.70 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15746,plain,
% 24.94/16.70 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89))),
% 24.94/16.70 inference(quant_inst,[status(thm)],[])).
% 24.94/16.70 tff(15747,plain,
% 24.94/16.70 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89)),
% 24.94/16.70 inference(modus_ponens,[status(thm)],[15746, 15745])).
% 24.94/16.70 tff(15748,plain,
% 24.94/16.70 (v121(constB89)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15747, 2145, 15744, 15710, 15679])).
% 24.94/16.70 tff(15749,plain,
% 24.94/16.70 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB89) | (~v121(constB89)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB89) | (~v121(constB89)))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15750,plain,
% 24.94/16.70 (((~v121(constB89)) | v117(constB89)) <=> (v117(constB89) | (~v121(constB89)))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15751,plain,
% 24.94/16.70 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB89)) | v117(constB89))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB89) | (~v121(constB89))))),
% 24.94/16.70 inference(monotonicity,[status(thm)],[15750])).
% 24.94/16.70 tff(15752,plain,
% 24.94/16.70 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB89)) | v117(constB89))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB89) | (~v121(constB89)))),
% 24.94/16.70 inference(transitivity,[status(thm)],[15751, 15749])).
% 24.94/16.70 tff(15753,plain,
% 24.94/16.70 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB89)) | v117(constB89))),
% 24.94/16.70 inference(quant_inst,[status(thm)],[])).
% 24.94/16.70 tff(15754,plain,
% 24.94/16.70 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB89) | (~v121(constB89))),
% 24.94/16.70 inference(modus_ponens,[status(thm)],[15753, 15752])).
% 24.94/16.70 tff(15755,plain,
% 24.94/16.70 (v117(constB89)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15754, 2102, 15748])).
% 24.94/16.70 tff(15756,plain,
% 24.94/16.70 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB89)) | v116(constB89))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB89)) | v116(constB89))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15757,plain,
% 24.94/16.70 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB89)) | v116(constB89))),
% 24.94/16.70 inference(quant_inst,[status(thm)],[])).
% 24.94/16.70 tff(15758,plain,
% 24.94/16.70 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB89)) | v116(constB89)),
% 24.94/16.70 inference(modus_ponens,[status(thm)],[15757, 15756])).
% 24.94/16.70 tff(15759,plain,
% 24.94/16.70 (v116(constB89)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15758, 994, 15755])).
% 24.94/16.70 tff(15760,plain,
% 24.94/16.70 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB89)) | v115(constB89))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB89)) | v115(constB89))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15761,plain,
% 24.94/16.70 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB89)) | v115(constB89))),
% 24.94/16.70 inference(quant_inst,[status(thm)],[])).
% 24.94/16.70 tff(15762,plain,
% 24.94/16.70 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB89)) | v115(constB89)),
% 24.94/16.70 inference(modus_ponens,[status(thm)],[15761, 15760])).
% 24.94/16.70 tff(15763,plain,
% 24.94/16.70 (v115(constB89)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15762, 1008, 15759])).
% 24.94/16.70 tff(15764,plain,
% 24.94/16.70 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB89) | (~v115(constB89)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB89) | (~v115(constB89)))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15765,plain,
% 24.94/16.70 (((~v115(constB89)) | v114(constB89)) <=> (v114(constB89) | (~v115(constB89)))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15766,plain,
% 24.94/16.70 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB89)) | v114(constB89))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB89) | (~v115(constB89))))),
% 24.94/16.70 inference(monotonicity,[status(thm)],[15765])).
% 24.94/16.70 tff(15767,plain,
% 24.94/16.70 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB89)) | v114(constB89))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB89) | (~v115(constB89)))),
% 24.94/16.70 inference(transitivity,[status(thm)],[15766, 15764])).
% 24.94/16.70 tff(15768,plain,
% 24.94/16.70 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB89)) | v114(constB89))),
% 24.94/16.70 inference(quant_inst,[status(thm)],[])).
% 24.94/16.70 tff(15769,plain,
% 24.94/16.70 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB89) | (~v115(constB89))),
% 24.94/16.70 inference(modus_ponens,[status(thm)],[15768, 15767])).
% 24.94/16.70 tff(15770,plain,
% 24.94/16.70 (v114(constB89)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15769, 1022, 15763])).
% 24.94/16.70 tff(15771,plain,
% 24.94/16.70 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB89) | (~v114(constB89)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB89) | (~v114(constB89)))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15772,plain,
% 24.94/16.70 (((~v114(constB89)) | v113(constB89)) <=> (v113(constB89) | (~v114(constB89)))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15773,plain,
% 24.94/16.70 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB89)) | v113(constB89))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB89) | (~v114(constB89))))),
% 24.94/16.70 inference(monotonicity,[status(thm)],[15772])).
% 24.94/16.70 tff(15774,plain,
% 24.94/16.70 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB89)) | v113(constB89))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB89) | (~v114(constB89)))),
% 24.94/16.70 inference(transitivity,[status(thm)],[15773, 15771])).
% 24.94/16.70 tff(15775,plain,
% 24.94/16.70 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB89)) | v113(constB89))),
% 24.94/16.70 inference(quant_inst,[status(thm)],[])).
% 24.94/16.70 tff(15776,plain,
% 24.94/16.70 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB89) | (~v114(constB89))),
% 24.94/16.70 inference(modus_ponens,[status(thm)],[15775, 15774])).
% 24.94/16.70 tff(15777,plain,
% 24.94/16.70 (v113(constB89)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15776, 1036, 15770])).
% 24.94/16.70 tff(15778,assumption,(v26(constB89)), introduced(assumption)).
% 24.94/16.70 tff(15779,plain,
% 24.94/16.70 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB89))),
% 24.94/16.70 inference(quant_inst,[status(thm)],[])).
% 24.94/16.70 tff(15780,plain,
% 24.94/16.70 ($false),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15779, 797, 15778])).
% 24.94/16.70 tff(15781,plain,(~v26(constB89)), inference(lemma,lemma(discharge,[]))).
% 24.94/16.70 tff(15782,plain,
% 24.94/16.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | v112(constB89) | (~v113(constB89)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15783,plain,
% 24.94/16.70 ((v26(constB89) | (~v113(constB89)) | v112(constB89)) <=> (v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15784,plain,
% 24.94/16.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | v112(constB89) | (~v113(constB89))))),
% 24.94/16.70 inference(monotonicity,[status(thm)],[15783])).
% 24.94/16.70 tff(15785,plain,
% 24.94/16.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 24.94/16.70 inference(transitivity,[status(thm)],[15784, 15782])).
% 24.94/16.70 tff(15786,plain,
% 24.94/16.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))),
% 24.94/16.70 inference(quant_inst,[status(thm)],[])).
% 24.94/16.70 tff(15787,plain,
% 24.94/16.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89))),
% 24.94/16.70 inference(modus_ponens,[status(thm)],[15786, 15785])).
% 24.94/16.70 tff(15788,plain,
% 24.94/16.70 (v112(constB89) | (~v113(constB89))),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15787, 1050, 15781])).
% 24.94/16.70 tff(15789,plain,
% 24.94/16.70 (v112(constB89)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15788, 15777])).
% 24.94/16.70 tff(15790,plain,
% 24.94/16.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB89) | (~v112(constB89)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v112(constB89)))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15791,plain,
% 24.94/16.70 (((~v112(constB89)) | v108(constB89)) <=> (v108(constB89) | (~v112(constB89)))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15792,plain,
% 24.94/16.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB89)) | v108(constB89))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB89) | (~v112(constB89))))),
% 24.94/16.70 inference(monotonicity,[status(thm)],[15791])).
% 24.94/16.70 tff(15793,plain,
% 24.94/16.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB89)) | v108(constB89))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v112(constB89)))),
% 24.94/16.70 inference(transitivity,[status(thm)],[15792, 15790])).
% 24.94/16.70 tff(15794,plain,
% 24.94/16.70 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB89)) | v108(constB89))),
% 24.94/16.70 inference(quant_inst,[status(thm)],[])).
% 24.94/16.70 tff(15795,plain,
% 24.94/16.70 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v112(constB89))),
% 24.94/16.70 inference(modus_ponens,[status(thm)],[15794, 15793])).
% 24.94/16.70 tff(15796,plain,
% 24.94/16.70 (v108(constB89)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15795, 1062, 15789])).
% 24.94/16.70 tff(15797,plain,
% 24.94/16.70 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15798,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_89_1')).
% 24.94/16.70 tff(15799,plain,
% 24.94/16.70 (nextState(constB89, constB90)),
% 24.94/16.70 inference(modus_ponens,[status(thm)],[15798, 15797])).
% 24.94/16.70 tff(15800,plain,
% 24.94/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15801,plain,
% 24.94/16.70 (((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90)) <=> ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15802,plain,
% 24.94/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89))))),
% 24.94/16.70 inference(monotonicity,[status(thm)],[15801])).
% 24.94/16.70 tff(15803,plain,
% 24.94/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 24.94/16.70 inference(transitivity,[status(thm)],[15802, 15800])).
% 24.94/16.70 tff(15804,plain,
% 24.94/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))),
% 24.94/16.70 inference(quant_inst,[status(thm)],[])).
% 24.94/16.70 tff(15805,plain,
% 24.94/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89))),
% 24.94/16.70 inference(modus_ponens,[status(thm)],[15804, 15803])).
% 24.94/16.70 tff(15806,plain,
% 24.94/16.70 (v110(constB90) | (~v108(constB89))),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15805, 1082, 15799])).
% 24.94/16.70 tff(15807,plain,
% 24.94/16.70 (v110(constB90)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15806, 15796])).
% 24.94/16.70 tff(15808,plain,
% 24.94/16.70 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15809,plain,
% 24.94/16.70 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))),
% 24.94/16.70 inference(quant_inst,[status(thm)],[])).
% 24.94/16.70 tff(15810,plain,
% 24.94/16.70 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90))),
% 24.94/16.70 inference(modus_ponens,[status(thm)],[15809, 15808])).
% 24.94/16.70 tff(15811,plain,
% 24.94/16.70 (~v104(constB90)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15810, 1100, 15799, 15655])).
% 24.94/16.70 tff(15812,plain,
% 24.94/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15813,plain,
% 24.94/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))),
% 24.94/16.70 inference(quant_inst,[status(thm)],[])).
% 24.94/16.70 tff(15814,plain,
% 24.94/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v102(constB90) | v104(constB90)),
% 24.94/16.70 inference(modus_ponens,[status(thm)],[15813, 15812])).
% 24.94/16.70 tff(15815,plain,
% 24.94/16.70 (v102(constB90) | v104(constB90)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15814, 1114, 15799])).
% 24.94/16.70 tff(15816,plain,
% 24.94/16.70 (v102(constB90)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15815, 15811])).
% 24.94/16.70 tff(15817,plain,
% 24.94/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15818,plain,
% 24.94/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))),
% 24.94/16.70 inference(quant_inst,[status(thm)],[])).
% 24.94/16.70 tff(15819,plain,
% 24.94/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90))),
% 24.94/16.70 inference(modus_ponens,[status(thm)],[15818, 15817])).
% 24.94/16.70 tff(15820,plain,
% 24.94/16.70 (v101(constB90) | (~v102(constB90))),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15819, 1129, 15799, 108])).
% 24.94/16.70 tff(15821,plain,
% 24.94/16.70 (v101(constB90)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15820, 15816])).
% 24.94/16.70 tff(15822,plain,
% 24.94/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15823,plain,
% 24.94/16.70 (((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90)) <=> ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15824,plain,
% 24.94/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90))))),
% 24.94/16.70 inference(monotonicity,[status(thm)],[15823])).
% 24.94/16.70 tff(15825,plain,
% 24.94/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 24.94/16.70 inference(transitivity,[status(thm)],[15824, 15822])).
% 24.94/16.70 tff(15826,plain,
% 24.94/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))),
% 24.94/16.70 inference(quant_inst,[status(thm)],[])).
% 24.94/16.70 tff(15827,plain,
% 24.94/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 24.94/16.70 inference(modus_ponens,[status(thm)],[15826, 15825])).
% 24.94/16.70 tff(15828,plain,
% 24.94/16.70 (v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15827, 1144, 15799])).
% 24.94/16.70 tff(15829,plain,
% 24.94/16.70 (v100(constB90) | (~v110(constB90))),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15828, 15821])).
% 24.94/16.70 tff(15830,plain,
% 24.94/16.70 (v100(constB90)),
% 24.94/16.70 inference(unit_resolution,[status(thm)],[15829, 15807])).
% 24.94/16.70 tff(15831,plain,
% 24.94/16.70 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB89)) | (~v130(constB89, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB89)) | (~v130(constB89, bitIndex2)))),
% 24.94/16.70 inference(rewrite,[status(thm)],[])).
% 24.94/16.70 tff(15832,plain,
% 24.94/16.70 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB89)) | (~v130(constB89, bitIndex2)))),
% 24.94/16.70 inference(quant_inst,[status(thm)],[])).
% 24.94/16.70 tff(15833,plain,
% 24.94/16.70 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB89)) | (~v130(constB89, bitIndex2))),
% 24.94/16.70 inference(modus_ponens,[status(thm)],[15832, 15831])).
% 24.94/16.71 tff(15834,plain,
% 24.94/16.71 (~v130(constB89, bitIndex2)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15833, 2406, 15748])).
% 24.94/16.71 tff(15835,plain,
% 24.94/16.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15836,plain,
% 24.94/16.71 ((v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2))) <=> ((~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15837,plain,
% 24.94/16.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2)))),
% 24.94/16.71 inference(monotonicity,[status(thm)],[15836])).
% 24.94/16.71 tff(15838,plain,
% 24.94/16.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))),
% 24.94/16.71 inference(transitivity,[status(thm)],[15837, 15835])).
% 24.94/16.71 tff(15839,plain,
% 24.94/16.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2)))),
% 24.94/16.71 inference(quant_inst,[status(thm)],[])).
% 24.94/16.71 tff(15840,plain,
% 24.94/16.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2)),
% 24.94/16.71 inference(modus_ponens,[status(thm)],[15839, 15838])).
% 24.94/16.71 tff(15841,plain,
% 24.94/16.71 ((~v127(constB89, bitIndex2)) | v130(constB89, bitIndex2)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15840, 1812, 15781])).
% 24.94/16.71 tff(15842,plain,
% 24.94/16.71 (~v127(constB89, bitIndex2)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15841, 15834])).
% 24.94/16.71 tff(15843,plain,
% 24.94/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2)))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15844,plain,
% 24.94/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2)))),
% 24.94/16.71 inference(quant_inst,[status(thm)],[])).
% 24.94/16.71 tff(15845,plain,
% 24.94/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2))),
% 24.94/16.71 inference(modus_ponens,[status(thm)],[15844, 15843])).
% 24.94/16.71 tff(15846,plain,
% 24.94/16.71 (v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2))),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15845, 1830, 15799])).
% 24.94/16.71 tff(15847,plain,
% 24.94/16.71 (~v129(constB90, bitIndex2)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15846, 15842])).
% 24.94/16.71 tff(15848,plain,
% 24.94/16.71 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15849,plain,
% 24.94/16.71 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))),
% 24.94/16.71 inference(quant_inst,[status(thm)],[])).
% 24.94/16.71 tff(15850,plain,
% 24.94/16.71 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90))),
% 24.94/16.71 inference(modus_ponens,[status(thm)],[15849, 15848])).
% 24.94/16.71 tff(15851,plain,
% 24.94/16.71 ((~v90(constB90, bitIndex2)) | (~v100(constB90))),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15850, 1845, 15847])).
% 24.94/16.71 tff(15852,plain,
% 24.94/16.71 (~v90(constB90, bitIndex2)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15851, 15830])).
% 24.94/16.71 tff(15853,plain,
% 24.94/16.71 ((~v1(constB91)) <=> (~v1(constB91))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15854,axiom,(~v1(constB91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_91_1_1')).
% 24.94/16.71 tff(15855,plain,
% 24.94/16.71 (~v1(constB91)),
% 24.94/16.71 inference(modus_ponens,[status(thm)],[15854, 15853])).
% 24.94/16.71 tff(15856,plain,
% 24.94/16.71 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15857,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_90_1')).
% 24.94/16.71 tff(15858,plain,
% 24.94/16.71 (nextState(constB90, constB91)),
% 24.94/16.71 inference(modus_ponens,[status(thm)],[15857, 15856])).
% 24.94/16.71 tff(15859,plain,
% 24.94/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15860,plain,
% 24.94/16.71 (((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91)) <=> (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15861,plain,
% 24.94/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91))))),
% 24.94/16.71 inference(monotonicity,[status(thm)],[15860])).
% 24.94/16.71 tff(15862,plain,
% 24.94/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 24.94/16.71 inference(transitivity,[status(thm)],[15861, 15859])).
% 24.94/16.71 tff(15863,plain,
% 24.94/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))),
% 24.94/16.71 inference(quant_inst,[status(thm)],[])).
% 24.94/16.71 tff(15864,plain,
% 24.94/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91))),
% 24.94/16.71 inference(modus_ponens,[status(thm)],[15863, 15862])).
% 24.94/16.71 tff(15865,plain,
% 24.94/16.71 (~v101(constB91)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15864, 860, 15858, 15855])).
% 24.94/16.71 tff(15866,plain,
% 24.94/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15867,plain,
% 24.94/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))),
% 24.94/16.71 inference(quant_inst,[status(thm)],[])).
% 24.94/16.71 tff(15868,plain,
% 24.94/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91))),
% 24.94/16.71 inference(modus_ponens,[status(thm)],[15867, 15866])).
% 24.94/16.71 tff(15869,plain,
% 24.94/16.71 (v101(constB91) | (~v100(constB91))),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15868, 877, 15858])).
% 24.94/16.71 tff(15870,plain,
% 24.94/16.71 (~v100(constB91)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15869, 15865])).
% 24.94/16.71 tff(15871,plain,
% 24.94/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15872,plain,
% 24.94/16.71 (((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2))) <=> (v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15873,plain,
% 24.94/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2))))),
% 24.94/16.71 inference(monotonicity,[status(thm)],[15872])).
% 24.94/16.71 tff(15874,plain,
% 24.94/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 24.94/16.71 inference(transitivity,[status(thm)],[15873, 15871])).
% 24.94/16.71 tff(15875,plain,
% 24.94/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 24.94/16.71 inference(quant_inst,[status(thm)],[])).
% 24.94/16.71 tff(15876,plain,
% 24.94/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2))),
% 24.94/16.71 inference(modus_ponens,[status(thm)],[15875, 15874])).
% 24.94/16.71 tff(15877,plain,
% 24.94/16.71 (v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2))),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15876, 892, 15858])).
% 24.94/16.71 tff(15878,plain,
% 24.94/16.71 (v90(constB90, bitIndex2) | (~v90(constB91, bitIndex2))),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15877, 15870])).
% 24.94/16.71 tff(15879,plain,
% 24.94/16.71 (~v90(constB91, bitIndex2)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15878, 15852])).
% 24.94/16.71 tff(15880,plain,
% 24.94/16.71 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB89)) | v130(constB89, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB89)) | v130(constB89, bitIndex1))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15881,plain,
% 24.94/16.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB89)) | v130(constB89, bitIndex1))),
% 24.94/16.71 inference(quant_inst,[status(thm)],[])).
% 24.94/16.71 tff(15882,plain,
% 24.94/16.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB89)) | v130(constB89, bitIndex1)),
% 24.94/16.71 inference(modus_ponens,[status(thm)],[15881, 15880])).
% 24.94/16.71 tff(15883,plain,
% 24.94/16.71 (v130(constB89, bitIndex1)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15882, 2562, 15748])).
% 24.94/16.71 tff(15884,plain,
% 24.94/16.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15885,plain,
% 24.94/16.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1))),
% 24.94/16.71 inference(quant_inst,[status(thm)],[])).
% 24.94/16.71 tff(15886,plain,
% 24.94/16.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1)),
% 24.94/16.71 inference(modus_ponens,[status(thm)],[15885, 15884])).
% 24.94/16.71 tff(15887,plain,
% 24.94/16.71 ((~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15886, 1553, 15781])).
% 24.94/16.71 tff(15888,plain,
% 24.94/16.71 (v127(constB89, bitIndex1)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15887, 15883])).
% 24.94/16.71 tff(15889,plain,
% 24.94/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15890,plain,
% 24.94/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1))),
% 24.94/16.71 inference(quant_inst,[status(thm)],[])).
% 24.94/16.71 tff(15891,plain,
% 24.94/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1)),
% 24.94/16.71 inference(modus_ponens,[status(thm)],[15890, 15889])).
% 24.94/16.71 tff(15892,plain,
% 24.94/16.71 ((~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15891, 1568, 15799])).
% 24.94/16.71 tff(15893,plain,
% 24.94/16.71 (v129(constB90, bitIndex1)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15892, 15888])).
% 24.94/16.71 tff(15894,plain,
% 24.94/16.71 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15895,plain,
% 24.94/16.71 ((v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1))) <=> (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15896,plain,
% 24.94/16.71 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90))))),
% 24.94/16.71 inference(monotonicity,[status(thm)],[15895])).
% 24.94/16.71 tff(15897,plain,
% 24.94/16.71 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))),
% 24.94/16.71 inference(transitivity,[status(thm)],[15896, 15894])).
% 24.94/16.71 tff(15898,plain,
% 24.94/16.71 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1)))),
% 24.94/16.71 inference(quant_inst,[status(thm)],[])).
% 24.94/16.71 tff(15899,plain,
% 24.94/16.71 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90))),
% 24.94/16.71 inference(modus_ponens,[status(thm)],[15898, 15897])).
% 24.94/16.71 tff(15900,plain,
% 24.94/16.71 (v90(constB90, bitIndex1) | (~v100(constB90))),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15899, 1583, 15893])).
% 24.94/16.71 tff(15901,plain,
% 24.94/16.71 (v90(constB90, bitIndex1)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15900, 15830])).
% 24.94/16.71 tff(15902,plain,
% 24.94/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15903,plain,
% 24.94/16.71 (((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1)) <=> ((~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15904,plain,
% 24.94/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1)))),
% 24.94/16.71 inference(monotonicity,[status(thm)],[15903])).
% 24.94/16.71 tff(15905,plain,
% 24.94/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))),
% 24.94/16.71 inference(transitivity,[status(thm)],[15904, 15902])).
% 24.94/16.71 tff(15906,plain,
% 24.94/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1))),
% 24.94/16.71 inference(quant_inst,[status(thm)],[])).
% 24.94/16.71 tff(15907,plain,
% 24.94/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1)),
% 24.94/16.71 inference(modus_ponens,[status(thm)],[15906, 15905])).
% 24.94/16.71 tff(15908,plain,
% 24.94/16.71 ((~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15907, 1601, 15858])).
% 24.94/16.71 tff(15909,plain,
% 24.94/16.71 ((~v90(constB90, bitIndex1)) | v90(constB91, bitIndex1)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15908, 15870])).
% 24.94/16.71 tff(15910,plain,
% 24.94/16.71 (v90(constB91, bitIndex1)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15909, 15901])).
% 24.94/16.71 tff(15911,plain,
% 24.94/16.71 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB89)) | v130(constB89, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB89)) | v130(constB89, bitIndex0))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15912,plain,
% 24.94/16.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB89)) | v130(constB89, bitIndex0))),
% 24.94/16.71 inference(quant_inst,[status(thm)],[])).
% 24.94/16.71 tff(15913,plain,
% 24.94/16.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB89)) | v130(constB89, bitIndex0)),
% 24.94/16.71 inference(modus_ponens,[status(thm)],[15912, 15911])).
% 24.94/16.71 tff(15914,plain,
% 24.94/16.71 (v130(constB89, bitIndex0)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15913, 2600, 15748])).
% 24.94/16.71 tff(15915,plain,
% 24.94/16.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15916,plain,
% 24.94/16.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0))),
% 24.94/16.71 inference(quant_inst,[status(thm)],[])).
% 24.94/16.71 tff(15917,plain,
% 24.94/16.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0)),
% 24.94/16.71 inference(modus_ponens,[status(thm)],[15916, 15915])).
% 24.94/16.71 tff(15918,plain,
% 24.94/16.71 ((~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15917, 1945, 15781])).
% 24.94/16.71 tff(15919,plain,
% 24.94/16.71 (v127(constB89, bitIndex0)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15918, 15914])).
% 24.94/16.71 tff(15920,plain,
% 24.94/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15921,plain,
% 24.94/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0))),
% 24.94/16.71 inference(quant_inst,[status(thm)],[])).
% 24.94/16.71 tff(15922,plain,
% 24.94/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0)),
% 24.94/16.71 inference(modus_ponens,[status(thm)],[15921, 15920])).
% 24.94/16.71 tff(15923,plain,
% 24.94/16.71 ((~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15922, 1960, 15799])).
% 24.94/16.71 tff(15924,plain,
% 24.94/16.71 (v129(constB90, bitIndex0)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15923, 15919])).
% 24.94/16.71 tff(15925,plain,
% 24.94/16.71 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15926,plain,
% 24.94/16.71 ((v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0))) <=> (v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15927,plain,
% 24.94/16.71 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90))))),
% 24.94/16.71 inference(monotonicity,[status(thm)],[15926])).
% 24.94/16.71 tff(15928,plain,
% 24.94/16.71 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))),
% 24.94/16.71 inference(transitivity,[status(thm)],[15927, 15925])).
% 24.94/16.71 tff(15929,plain,
% 24.94/16.71 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0)))),
% 24.94/16.71 inference(quant_inst,[status(thm)],[])).
% 24.94/16.71 tff(15930,plain,
% 24.94/16.71 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90))),
% 24.94/16.71 inference(modus_ponens,[status(thm)],[15929, 15928])).
% 24.94/16.71 tff(15931,plain,
% 24.94/16.71 (v90(constB90, bitIndex0) | (~v100(constB90))),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15930, 1975, 15924])).
% 24.94/16.71 tff(15932,plain,
% 24.94/16.71 (v90(constB90, bitIndex0)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15931, 15830])).
% 24.94/16.71 tff(15933,plain,
% 24.94/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15934,plain,
% 24.94/16.71 (((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0)) <=> ((~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15935,plain,
% 24.94/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0)))),
% 24.94/16.71 inference(monotonicity,[status(thm)],[15934])).
% 24.94/16.71 tff(15936,plain,
% 24.94/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))),
% 24.94/16.71 inference(transitivity,[status(thm)],[15935, 15933])).
% 24.94/16.71 tff(15937,plain,
% 24.94/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0))),
% 24.94/16.71 inference(quant_inst,[status(thm)],[])).
% 24.94/16.71 tff(15938,plain,
% 24.94/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0)),
% 24.94/16.71 inference(modus_ponens,[status(thm)],[15937, 15936])).
% 24.94/16.71 tff(15939,plain,
% 24.94/16.71 ((~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15938, 1993, 15858])).
% 24.94/16.71 tff(15940,plain,
% 24.94/16.71 ((~v90(constB90, bitIndex0)) | v90(constB91, bitIndex0)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15939, 15870])).
% 24.94/16.71 tff(15941,plain,
% 24.94/16.71 (v90(constB91, bitIndex0)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15940, 15932])).
% 24.94/16.71 tff(15942,plain,
% 24.94/16.71 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15943,plain,
% 24.94/16.71 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91))),
% 24.94/16.71 inference(quant_inst,[status(thm)],[])).
% 24.94/16.71 tff(15944,plain,
% 24.94/16.71 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91)),
% 24.94/16.71 inference(modus_ponens,[status(thm)],[15943, 15942])).
% 24.94/16.71 tff(15945,plain,
% 24.94/16.71 (v122(constB91)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15944, 2641, 15941, 15910, 15879])).
% 24.94/16.71 tff(15946,plain,
% 24.94/16.71 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB91)) | v116(constB91))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB91)) | v116(constB91))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15947,plain,
% 24.94/16.71 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB91)) | v116(constB91))),
% 24.94/16.71 inference(quant_inst,[status(thm)],[])).
% 24.94/16.71 tff(15948,plain,
% 24.94/16.71 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB91)) | v116(constB91)),
% 24.94/16.71 inference(modus_ponens,[status(thm)],[15947, 15946])).
% 24.94/16.71 tff(15949,plain,
% 24.94/16.71 (v116(constB91)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15948, 2652, 15945])).
% 24.94/16.71 tff(15950,plain,
% 24.94/16.71 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB91)) | v115(constB91))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB91)) | v115(constB91))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15951,plain,
% 24.94/16.71 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB91)) | v115(constB91))),
% 24.94/16.71 inference(quant_inst,[status(thm)],[])).
% 24.94/16.71 tff(15952,plain,
% 24.94/16.71 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB91)) | v115(constB91)),
% 24.94/16.71 inference(modus_ponens,[status(thm)],[15951, 15950])).
% 24.94/16.71 tff(15953,plain,
% 24.94/16.71 (v115(constB91)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15952, 1008, 15949])).
% 24.94/16.71 tff(15954,plain,
% 24.94/16.71 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB91) | (~v115(constB91)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB91) | (~v115(constB91)))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15955,plain,
% 24.94/16.71 (((~v115(constB91)) | v114(constB91)) <=> (v114(constB91) | (~v115(constB91)))),
% 24.94/16.71 inference(rewrite,[status(thm)],[])).
% 24.94/16.71 tff(15956,plain,
% 24.94/16.71 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB91)) | v114(constB91))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB91) | (~v115(constB91))))),
% 24.94/16.71 inference(monotonicity,[status(thm)],[15955])).
% 24.94/16.71 tff(15957,plain,
% 24.94/16.71 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB91)) | v114(constB91))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB91) | (~v115(constB91)))),
% 24.94/16.71 inference(transitivity,[status(thm)],[15956, 15954])).
% 24.94/16.71 tff(15958,plain,
% 24.94/16.71 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB91)) | v114(constB91))),
% 24.94/16.71 inference(quant_inst,[status(thm)],[])).
% 24.94/16.71 tff(15959,plain,
% 24.94/16.71 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB91) | (~v115(constB91))),
% 24.94/16.71 inference(modus_ponens,[status(thm)],[15958, 15957])).
% 24.94/16.71 tff(15960,plain,
% 24.94/16.71 (v114(constB91)),
% 24.94/16.71 inference(unit_resolution,[status(thm)],[15959, 1022, 15953])).
% 24.94/16.71 tff(15961,plain,
% 24.94/16.71 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB91) | (~v114(constB91)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB91) | (~v114(constB91)))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(15962,plain,
% 24.94/16.72 (((~v114(constB91)) | v113(constB91)) <=> (v113(constB91) | (~v114(constB91)))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(15963,plain,
% 24.94/16.72 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB91)) | v113(constB91))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB91) | (~v114(constB91))))),
% 24.94/16.72 inference(monotonicity,[status(thm)],[15962])).
% 24.94/16.72 tff(15964,plain,
% 24.94/16.72 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB91)) | v113(constB91))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB91) | (~v114(constB91)))),
% 24.94/16.72 inference(transitivity,[status(thm)],[15963, 15961])).
% 24.94/16.72 tff(15965,plain,
% 24.94/16.72 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB91)) | v113(constB91))),
% 24.94/16.72 inference(quant_inst,[status(thm)],[])).
% 24.94/16.72 tff(15966,plain,
% 24.94/16.72 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB91) | (~v114(constB91))),
% 24.94/16.72 inference(modus_ponens,[status(thm)],[15965, 15964])).
% 24.94/16.72 tff(15967,plain,
% 24.94/16.72 (v113(constB91)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[15966, 1036, 15960])).
% 24.94/16.72 tff(15968,assumption,(v26(constB91)), introduced(assumption)).
% 24.94/16.72 tff(15969,plain,
% 24.94/16.72 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB91))),
% 24.94/16.72 inference(quant_inst,[status(thm)],[])).
% 24.94/16.72 tff(15970,plain,
% 24.94/16.72 ($false),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[15969, 797, 15968])).
% 24.94/16.72 tff(15971,plain,(~v26(constB91)), inference(lemma,lemma(discharge,[]))).
% 24.94/16.72 tff(15972,plain,
% 24.94/16.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | (~v113(constB91)) | v112(constB91))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(15973,plain,
% 24.94/16.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))),
% 24.94/16.72 inference(quant_inst,[status(thm)],[])).
% 24.94/16.72 tff(15974,plain,
% 24.94/16.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | (~v113(constB91)) | v112(constB91)),
% 24.94/16.72 inference(modus_ponens,[status(thm)],[15973, 15972])).
% 24.94/16.72 tff(15975,plain,
% 24.94/16.72 ((~v113(constB91)) | v112(constB91)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[15974, 1050, 15971])).
% 24.94/16.72 tff(15976,plain,
% 24.94/16.72 (v112(constB91)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[15975, 15967])).
% 24.94/16.72 tff(15977,plain,
% 24.94/16.72 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB91) | (~v112(constB91)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB91) | (~v112(constB91)))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(15978,plain,
% 24.94/16.72 (((~v112(constB91)) | v108(constB91)) <=> (v108(constB91) | (~v112(constB91)))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(15979,plain,
% 24.94/16.72 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB91)) | v108(constB91))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB91) | (~v112(constB91))))),
% 24.94/16.72 inference(monotonicity,[status(thm)],[15978])).
% 24.94/16.72 tff(15980,plain,
% 24.94/16.72 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB91)) | v108(constB91))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB91) | (~v112(constB91)))),
% 24.94/16.72 inference(transitivity,[status(thm)],[15979, 15977])).
% 24.94/16.72 tff(15981,plain,
% 24.94/16.72 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB91)) | v108(constB91))),
% 24.94/16.72 inference(quant_inst,[status(thm)],[])).
% 24.94/16.72 tff(15982,plain,
% 24.94/16.72 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB91) | (~v112(constB91))),
% 24.94/16.72 inference(modus_ponens,[status(thm)],[15981, 15980])).
% 24.94/16.72 tff(15983,plain,
% 24.94/16.72 (v108(constB91)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[15982, 1062, 15976])).
% 24.94/16.72 tff(15984,plain,
% 24.94/16.72 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(15985,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_91_1')).
% 24.94/16.72 tff(15986,plain,
% 24.94/16.72 (nextState(constB91, constB92)),
% 24.94/16.72 inference(modus_ponens,[status(thm)],[15985, 15984])).
% 24.94/16.72 tff(15987,plain,
% 24.94/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(15988,plain,
% 24.94/16.72 (((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92)) <=> ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(15989,plain,
% 24.94/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91))))),
% 24.94/16.72 inference(monotonicity,[status(thm)],[15988])).
% 24.94/16.72 tff(15990,plain,
% 24.94/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 24.94/16.72 inference(transitivity,[status(thm)],[15989, 15987])).
% 24.94/16.72 tff(15991,plain,
% 24.94/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))),
% 24.94/16.72 inference(quant_inst,[status(thm)],[])).
% 24.94/16.72 tff(15992,plain,
% 24.94/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91))),
% 24.94/16.72 inference(modus_ponens,[status(thm)],[15991, 15990])).
% 24.94/16.72 tff(15993,plain,
% 24.94/16.72 (v110(constB92) | (~v108(constB91))),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[15992, 1082, 15986])).
% 24.94/16.72 tff(15994,plain,
% 24.94/16.72 (v110(constB92)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[15993, 15983])).
% 24.94/16.72 tff(15995,plain,
% 24.94/16.72 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(15996,plain,
% 24.94/16.72 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))),
% 24.94/16.72 inference(quant_inst,[status(thm)],[])).
% 24.94/16.72 tff(15997,plain,
% 24.94/16.72 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92))),
% 24.94/16.72 inference(modus_ponens,[status(thm)],[15996, 15995])).
% 24.94/16.72 tff(15998,plain,
% 24.94/16.72 (~v104(constB92)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[15997, 1100, 15986, 15855])).
% 24.94/16.72 tff(15999,plain,
% 24.94/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(16000,plain,
% 24.94/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))),
% 24.94/16.72 inference(quant_inst,[status(thm)],[])).
% 24.94/16.72 tff(16001,plain,
% 24.94/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v102(constB92) | v104(constB92)),
% 24.94/16.72 inference(modus_ponens,[status(thm)],[16000, 15999])).
% 24.94/16.72 tff(16002,plain,
% 24.94/16.72 (v102(constB92) | v104(constB92)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16001, 1114, 15986])).
% 24.94/16.72 tff(16003,plain,
% 24.94/16.72 (v102(constB92)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16002, 15998])).
% 24.94/16.72 tff(16004,plain,
% 24.94/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(16005,plain,
% 24.94/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))),
% 24.94/16.72 inference(quant_inst,[status(thm)],[])).
% 24.94/16.72 tff(16006,plain,
% 24.94/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92))),
% 24.94/16.72 inference(modus_ponens,[status(thm)],[16005, 16004])).
% 24.94/16.72 tff(16007,plain,
% 24.94/16.72 (v101(constB92) | (~v102(constB92))),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16006, 1129, 15986, 383])).
% 24.94/16.72 tff(16008,plain,
% 24.94/16.72 (v101(constB92)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16007, 16003])).
% 24.94/16.72 tff(16009,plain,
% 24.94/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(16010,plain,
% 24.94/16.72 (((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92)) <=> ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(16011,plain,
% 24.94/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92))))),
% 24.94/16.72 inference(monotonicity,[status(thm)],[16010])).
% 24.94/16.72 tff(16012,plain,
% 24.94/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 24.94/16.72 inference(transitivity,[status(thm)],[16011, 16009])).
% 24.94/16.72 tff(16013,plain,
% 24.94/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))),
% 24.94/16.72 inference(quant_inst,[status(thm)],[])).
% 24.94/16.72 tff(16014,plain,
% 24.94/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 24.94/16.72 inference(modus_ponens,[status(thm)],[16013, 16012])).
% 24.94/16.72 tff(16015,plain,
% 24.94/16.72 (v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16014, 1144, 15986])).
% 24.94/16.72 tff(16016,plain,
% 24.94/16.72 (v100(constB92) | (~v110(constB92))),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16015, 16008])).
% 24.94/16.72 tff(16017,plain,
% 24.94/16.72 (v100(constB92)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16016, 15994])).
% 24.94/16.72 tff(16018,plain,
% 24.94/16.72 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB91)) | v130(constB91, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB91)) | v130(constB91, bitIndex2))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(16019,plain,
% 24.94/16.72 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB91)) | v130(constB91, bitIndex2))),
% 24.94/16.72 inference(quant_inst,[status(thm)],[])).
% 24.94/16.72 tff(16020,plain,
% 24.94/16.72 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB91)) | v130(constB91, bitIndex2)),
% 24.94/16.72 inference(modus_ponens,[status(thm)],[16019, 16018])).
% 24.94/16.72 tff(16021,plain,
% 24.94/16.72 (v130(constB91, bitIndex2)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16020, 2736, 15945])).
% 24.94/16.72 tff(16022,plain,
% 24.94/16.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(16023,plain,
% 24.94/16.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2))),
% 24.94/16.72 inference(quant_inst,[status(thm)],[])).
% 24.94/16.72 tff(16024,plain,
% 24.94/16.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2)),
% 24.94/16.72 inference(modus_ponens,[status(thm)],[16023, 16022])).
% 24.94/16.72 tff(16025,plain,
% 24.94/16.72 ((~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16024, 1174, 15971])).
% 24.94/16.72 tff(16026,plain,
% 24.94/16.72 (v127(constB91, bitIndex2)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16025, 16021])).
% 24.94/16.72 tff(16027,plain,
% 24.94/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(16028,plain,
% 24.94/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2))),
% 24.94/16.72 inference(quant_inst,[status(thm)],[])).
% 24.94/16.72 tff(16029,plain,
% 24.94/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2)),
% 24.94/16.72 inference(modus_ponens,[status(thm)],[16028, 16027])).
% 24.94/16.72 tff(16030,plain,
% 24.94/16.72 ((~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16029, 1189, 15986])).
% 24.94/16.72 tff(16031,plain,
% 24.94/16.72 (v129(constB92, bitIndex2)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16030, 16026])).
% 24.94/16.72 tff(16032,plain,
% 24.94/16.72 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(16033,plain,
% 24.94/16.72 ((v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2))) <=> (v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(16034,plain,
% 24.94/16.72 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92))))),
% 24.94/16.72 inference(monotonicity,[status(thm)],[16033])).
% 24.94/16.72 tff(16035,plain,
% 24.94/16.72 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))),
% 24.94/16.72 inference(transitivity,[status(thm)],[16034, 16032])).
% 24.94/16.72 tff(16036,plain,
% 24.94/16.72 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2)))),
% 24.94/16.72 inference(quant_inst,[status(thm)],[])).
% 24.94/16.72 tff(16037,plain,
% 24.94/16.72 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92))),
% 24.94/16.72 inference(modus_ponens,[status(thm)],[16036, 16035])).
% 24.94/16.72 tff(16038,plain,
% 24.94/16.72 (v90(constB92, bitIndex2) | (~v100(constB92))),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16037, 1204, 16031])).
% 24.94/16.72 tff(16039,plain,
% 24.94/16.72 (v90(constB92, bitIndex2)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16038, 16017])).
% 24.94/16.72 tff(16040,plain,
% 24.94/16.72 ((~v1(constB93)) <=> (~v1(constB93))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(16041,axiom,(~v1(constB93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_93_1_1')).
% 24.94/16.72 tff(16042,plain,
% 24.94/16.72 (~v1(constB93)),
% 24.94/16.72 inference(modus_ponens,[status(thm)],[16041, 16040])).
% 24.94/16.72 tff(16043,plain,
% 24.94/16.72 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(16044,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_92_1')).
% 24.94/16.72 tff(16045,plain,
% 24.94/16.72 (nextState(constB92, constB93)),
% 24.94/16.72 inference(modus_ponens,[status(thm)],[16044, 16043])).
% 24.94/16.72 tff(16046,plain,
% 24.94/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(16047,plain,
% 24.94/16.72 (((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93)) <=> (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(16048,plain,
% 24.94/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93))))),
% 24.94/16.72 inference(monotonicity,[status(thm)],[16047])).
% 24.94/16.72 tff(16049,plain,
% 24.94/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 24.94/16.72 inference(transitivity,[status(thm)],[16048, 16046])).
% 24.94/16.72 tff(16050,plain,
% 24.94/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))),
% 24.94/16.72 inference(quant_inst,[status(thm)],[])).
% 24.94/16.72 tff(16051,plain,
% 24.94/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93))),
% 24.94/16.72 inference(modus_ponens,[status(thm)],[16050, 16049])).
% 24.94/16.72 tff(16052,plain,
% 24.94/16.72 (~v101(constB93)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16051, 860, 16045, 16042])).
% 24.94/16.72 tff(16053,plain,
% 24.94/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(16054,plain,
% 24.94/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))),
% 24.94/16.72 inference(quant_inst,[status(thm)],[])).
% 24.94/16.72 tff(16055,plain,
% 24.94/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93))),
% 24.94/16.72 inference(modus_ponens,[status(thm)],[16054, 16053])).
% 24.94/16.72 tff(16056,plain,
% 24.94/16.72 (v101(constB93) | (~v100(constB93))),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16055, 877, 16045])).
% 24.94/16.72 tff(16057,plain,
% 24.94/16.72 (~v100(constB93)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16056, 16052])).
% 24.94/16.72 tff(16058,plain,
% 24.94/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(16059,plain,
% 24.94/16.72 (((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2)) <=> ((~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(16060,plain,
% 24.94/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2)))),
% 24.94/16.72 inference(monotonicity,[status(thm)],[16059])).
% 24.94/16.72 tff(16061,plain,
% 24.94/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))),
% 24.94/16.72 inference(transitivity,[status(thm)],[16060, 16058])).
% 24.94/16.72 tff(16062,plain,
% 24.94/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2))),
% 24.94/16.72 inference(quant_inst,[status(thm)],[])).
% 24.94/16.72 tff(16063,plain,
% 24.94/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2)),
% 24.94/16.72 inference(modus_ponens,[status(thm)],[16062, 16061])).
% 24.94/16.72 tff(16064,plain,
% 24.94/16.72 ((~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16063, 1240, 16045])).
% 24.94/16.72 tff(16065,plain,
% 24.94/16.72 ((~v90(constB92, bitIndex2)) | v90(constB93, bitIndex2)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16064, 16057])).
% 24.94/16.72 tff(16066,plain,
% 24.94/16.72 (v90(constB93, bitIndex2)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16065, 16039])).
% 24.94/16.72 tff(16067,plain,
% 24.94/16.72 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB91)) | (~v130(constB91, bitIndex1)))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(16068,plain,
% 24.94/16.72 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex1)))),
% 24.94/16.72 inference(quant_inst,[status(thm)],[])).
% 24.94/16.72 tff(16069,plain,
% 24.94/16.72 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB91)) | (~v130(constB91, bitIndex1))),
% 24.94/16.72 inference(modus_ponens,[status(thm)],[16068, 16067])).
% 24.94/16.72 tff(16070,plain,
% 24.94/16.72 (~v130(constB91, bitIndex1)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16069, 2792, 15945])).
% 24.94/16.72 tff(16071,plain,
% 24.94/16.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(16072,plain,
% 24.94/16.72 ((v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1))) <=> ((~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(16073,plain,
% 24.94/16.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1)))),
% 24.94/16.72 inference(monotonicity,[status(thm)],[16072])).
% 24.94/16.72 tff(16074,plain,
% 24.94/16.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))),
% 24.94/16.72 inference(transitivity,[status(thm)],[16073, 16071])).
% 24.94/16.72 tff(16075,plain,
% 24.94/16.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1)))),
% 24.94/16.72 inference(quant_inst,[status(thm)],[])).
% 24.94/16.72 tff(16076,plain,
% 24.94/16.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1)),
% 24.94/16.72 inference(modus_ponens,[status(thm)],[16075, 16074])).
% 24.94/16.72 tff(16077,plain,
% 24.94/16.72 ((~v127(constB91, bitIndex1)) | v130(constB91, bitIndex1)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16076, 1270, 15971])).
% 24.94/16.72 tff(16078,plain,
% 24.94/16.72 (~v127(constB91, bitIndex1)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16077, 16070])).
% 24.94/16.72 tff(16079,plain,
% 24.94/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1)))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(16080,plain,
% 24.94/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1)))),
% 24.94/16.72 inference(quant_inst,[status(thm)],[])).
% 24.94/16.72 tff(16081,plain,
% 24.94/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1))),
% 24.94/16.72 inference(modus_ponens,[status(thm)],[16080, 16079])).
% 24.94/16.72 tff(16082,plain,
% 24.94/16.72 (v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1))),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16081, 1288, 15986])).
% 24.94/16.72 tff(16083,plain,
% 24.94/16.72 (~v129(constB92, bitIndex1)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16082, 16078])).
% 24.94/16.72 tff(16084,plain,
% 24.94/16.72 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(16085,plain,
% 24.94/16.72 (((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1)) <=> ((~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(16086,plain,
% 24.94/16.72 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92))))),
% 24.94/16.72 inference(monotonicity,[status(thm)],[16085])).
% 24.94/16.72 tff(16087,plain,
% 24.94/16.72 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))),
% 24.94/16.72 inference(transitivity,[status(thm)],[16086, 16084])).
% 24.94/16.72 tff(16088,plain,
% 24.94/16.72 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1))),
% 24.94/16.72 inference(quant_inst,[status(thm)],[])).
% 24.94/16.72 tff(16089,plain,
% 24.94/16.72 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92))),
% 24.94/16.72 inference(modus_ponens,[status(thm)],[16088, 16087])).
% 24.94/16.72 tff(16090,plain,
% 24.94/16.72 ((~v90(constB92, bitIndex1)) | (~v100(constB92))),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16089, 1303, 16083])).
% 24.94/16.72 tff(16091,plain,
% 24.94/16.72 (~v90(constB92, bitIndex1)),
% 24.94/16.72 inference(unit_resolution,[status(thm)],[16090, 16017])).
% 24.94/16.72 tff(16092,plain,
% 24.94/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(16093,plain,
% 24.94/16.72 (((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1))) <=> (v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 24.94/16.72 inference(rewrite,[status(thm)],[])).
% 24.94/16.72 tff(16094,plain,
% 24.94/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1))))),
% 24.94/16.72 inference(monotonicity,[status(thm)],[16093])).
% 24.94/16.73 tff(16095,plain,
% 24.94/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 24.94/16.73 inference(transitivity,[status(thm)],[16094, 16092])).
% 24.94/16.73 tff(16096,plain,
% 24.94/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 24.94/16.73 inference(quant_inst,[status(thm)],[])).
% 24.94/16.73 tff(16097,plain,
% 24.94/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1))),
% 24.94/16.73 inference(modus_ponens,[status(thm)],[16096, 16095])).
% 24.94/16.73 tff(16098,plain,
% 24.94/16.73 (v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1))),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16097, 913, 16045])).
% 24.94/16.73 tff(16099,plain,
% 24.94/16.73 (v90(constB92, bitIndex1) | (~v90(constB93, bitIndex1))),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16098, 16057])).
% 24.94/16.73 tff(16100,plain,
% 24.94/16.73 (~v90(constB93, bitIndex1)),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16099, 16091])).
% 24.94/16.73 tff(16101,plain,
% 24.94/16.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB91)) | (~v130(constB91, bitIndex0)))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16102,plain,
% 24.94/16.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex0)))),
% 24.94/16.73 inference(quant_inst,[status(thm)],[])).
% 24.94/16.73 tff(16103,plain,
% 24.94/16.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB91)) | (~v130(constB91, bitIndex0))),
% 24.94/16.73 inference(modus_ponens,[status(thm)],[16102, 16101])).
% 24.94/16.73 tff(16104,plain,
% 24.94/16.73 (~v130(constB91, bitIndex0)),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16103, 2833, 15945])).
% 24.94/16.73 tff(16105,plain,
% 24.94/16.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16106,plain,
% 24.94/16.73 ((v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0))) <=> ((~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16107,plain,
% 24.94/16.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0)))),
% 24.94/16.73 inference(monotonicity,[status(thm)],[16106])).
% 24.94/16.73 tff(16108,plain,
% 24.94/16.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))),
% 24.94/16.73 inference(transitivity,[status(thm)],[16107, 16105])).
% 24.94/16.73 tff(16109,plain,
% 24.94/16.73 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0)))),
% 24.94/16.73 inference(quant_inst,[status(thm)],[])).
% 24.94/16.73 tff(16110,plain,
% 24.94/16.73 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0)),
% 24.94/16.73 inference(modus_ponens,[status(thm)],[16109, 16108])).
% 24.94/16.73 tff(16111,plain,
% 24.94/16.73 ((~v127(constB91, bitIndex0)) | v130(constB91, bitIndex0)),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16110, 1341, 15971])).
% 24.94/16.73 tff(16112,plain,
% 24.94/16.73 (~v127(constB91, bitIndex0)),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16111, 16104])).
% 24.94/16.73 tff(16113,plain,
% 24.94/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0)))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16114,plain,
% 24.94/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0)))),
% 24.94/16.73 inference(quant_inst,[status(thm)],[])).
% 24.94/16.73 tff(16115,plain,
% 24.94/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0))),
% 24.94/16.73 inference(modus_ponens,[status(thm)],[16114, 16113])).
% 24.94/16.73 tff(16116,plain,
% 24.94/16.73 (v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0))),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16115, 1359, 15986])).
% 24.94/16.73 tff(16117,plain,
% 24.94/16.73 (~v129(constB92, bitIndex0)),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16116, 16112])).
% 24.94/16.73 tff(16118,plain,
% 24.94/16.73 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16119,plain,
% 24.94/16.73 (((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0)) <=> ((~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16120,plain,
% 24.94/16.73 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92))))),
% 24.94/16.73 inference(monotonicity,[status(thm)],[16119])).
% 24.94/16.73 tff(16121,plain,
% 24.94/16.73 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))),
% 24.94/16.73 inference(transitivity,[status(thm)],[16120, 16118])).
% 24.94/16.73 tff(16122,plain,
% 24.94/16.73 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0))),
% 24.94/16.73 inference(quant_inst,[status(thm)],[])).
% 24.94/16.73 tff(16123,plain,
% 24.94/16.73 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92))),
% 24.94/16.73 inference(modus_ponens,[status(thm)],[16122, 16121])).
% 24.94/16.73 tff(16124,plain,
% 24.94/16.73 ((~v90(constB92, bitIndex0)) | (~v100(constB92))),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16123, 1374, 16117])).
% 24.94/16.73 tff(16125,plain,
% 24.94/16.73 (~v90(constB92, bitIndex0)),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16124, 16017])).
% 24.94/16.73 tff(16126,plain,
% 24.94/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16127,plain,
% 24.94/16.73 (((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0))) <=> (v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16128,plain,
% 24.94/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0))))),
% 24.94/16.73 inference(monotonicity,[status(thm)],[16127])).
% 24.94/16.73 tff(16129,plain,
% 24.94/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 24.94/16.73 inference(transitivity,[status(thm)],[16128, 16126])).
% 24.94/16.73 tff(16130,plain,
% 24.94/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 24.94/16.73 inference(quant_inst,[status(thm)],[])).
% 24.94/16.73 tff(16131,plain,
% 24.94/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0))),
% 24.94/16.73 inference(modus_ponens,[status(thm)],[16130, 16129])).
% 24.94/16.73 tff(16132,plain,
% 24.94/16.73 (v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0))),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16131, 934, 16045])).
% 24.94/16.73 tff(16133,plain,
% 24.94/16.73 (v90(constB92, bitIndex0) | (~v90(constB93, bitIndex0))),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16132, 16057])).
% 24.94/16.73 tff(16134,plain,
% 24.94/16.73 (~v90(constB93, bitIndex0)),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16133, 16125])).
% 24.94/16.73 tff(16135,plain,
% 24.94/16.73 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16136,plain,
% 24.94/16.73 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93))),
% 24.94/16.73 inference(quant_inst,[status(thm)],[])).
% 24.94/16.73 tff(16137,plain,
% 24.94/16.73 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93)),
% 24.94/16.73 inference(modus_ponens,[status(thm)],[16136, 16135])).
% 24.94/16.73 tff(16138,plain,
% 24.94/16.73 (v123(constB93)),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16137, 1401, 16134, 16100, 16066])).
% 24.94/16.73 tff(16139,plain,
% 24.94/16.73 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB93) | (~v123(constB93)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB93) | (~v123(constB93)))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16140,plain,
% 24.94/16.73 (((~v123(constB93)) | v115(constB93)) <=> (v115(constB93) | (~v123(constB93)))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16141,plain,
% 24.94/16.73 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB93)) | v115(constB93))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB93) | (~v123(constB93))))),
% 24.94/16.73 inference(monotonicity,[status(thm)],[16140])).
% 24.94/16.73 tff(16142,plain,
% 24.94/16.73 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB93)) | v115(constB93))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB93) | (~v123(constB93)))),
% 24.94/16.73 inference(transitivity,[status(thm)],[16141, 16139])).
% 24.94/16.73 tff(16143,plain,
% 24.94/16.73 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB93)) | v115(constB93))),
% 24.94/16.73 inference(quant_inst,[status(thm)],[])).
% 24.94/16.73 tff(16144,plain,
% 24.94/16.73 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB93) | (~v123(constB93))),
% 24.94/16.73 inference(modus_ponens,[status(thm)],[16143, 16142])).
% 24.94/16.73 tff(16145,plain,
% 24.94/16.73 (v115(constB93)),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16144, 1412, 16138])).
% 24.94/16.73 tff(16146,plain,
% 24.94/16.73 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB93) | (~v115(constB93)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB93) | (~v115(constB93)))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16147,plain,
% 24.94/16.73 (((~v115(constB93)) | v114(constB93)) <=> (v114(constB93) | (~v115(constB93)))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16148,plain,
% 24.94/16.73 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB93)) | v114(constB93))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB93) | (~v115(constB93))))),
% 24.94/16.73 inference(monotonicity,[status(thm)],[16147])).
% 24.94/16.73 tff(16149,plain,
% 24.94/16.73 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB93)) | v114(constB93))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB93) | (~v115(constB93)))),
% 24.94/16.73 inference(transitivity,[status(thm)],[16148, 16146])).
% 24.94/16.73 tff(16150,plain,
% 24.94/16.73 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB93)) | v114(constB93))),
% 24.94/16.73 inference(quant_inst,[status(thm)],[])).
% 24.94/16.73 tff(16151,plain,
% 24.94/16.73 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB93) | (~v115(constB93))),
% 24.94/16.73 inference(modus_ponens,[status(thm)],[16150, 16149])).
% 24.94/16.73 tff(16152,plain,
% 24.94/16.73 (v114(constB93)),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16151, 1022, 16145])).
% 24.94/16.73 tff(16153,plain,
% 24.94/16.73 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB93) | (~v114(constB93)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB93) | (~v114(constB93)))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16154,plain,
% 24.94/16.73 (((~v114(constB93)) | v113(constB93)) <=> (v113(constB93) | (~v114(constB93)))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16155,plain,
% 24.94/16.73 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB93)) | v113(constB93))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB93) | (~v114(constB93))))),
% 24.94/16.73 inference(monotonicity,[status(thm)],[16154])).
% 24.94/16.73 tff(16156,plain,
% 24.94/16.73 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB93)) | v113(constB93))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB93) | (~v114(constB93)))),
% 24.94/16.73 inference(transitivity,[status(thm)],[16155, 16153])).
% 24.94/16.73 tff(16157,plain,
% 24.94/16.73 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB93)) | v113(constB93))),
% 24.94/16.73 inference(quant_inst,[status(thm)],[])).
% 24.94/16.73 tff(16158,plain,
% 24.94/16.73 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB93) | (~v114(constB93))),
% 24.94/16.73 inference(modus_ponens,[status(thm)],[16157, 16156])).
% 24.94/16.73 tff(16159,plain,
% 24.94/16.73 (v113(constB93)),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16158, 1036, 16152])).
% 24.94/16.73 tff(16160,assumption,(v26(constB93)), introduced(assumption)).
% 24.94/16.73 tff(16161,plain,
% 24.94/16.73 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB93))),
% 24.94/16.73 inference(quant_inst,[status(thm)],[])).
% 24.94/16.73 tff(16162,plain,
% 24.94/16.73 ($false),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16161, 797, 16160])).
% 24.94/16.73 tff(16163,plain,(~v26(constB93)), inference(lemma,lemma(discharge,[]))).
% 24.94/16.73 tff(16164,plain,
% 24.94/16.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | v112(constB93) | (~v113(constB93)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16165,plain,
% 24.94/16.73 ((v26(constB93) | (~v113(constB93)) | v112(constB93)) <=> (v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16166,plain,
% 24.94/16.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | v112(constB93) | (~v113(constB93))))),
% 24.94/16.73 inference(monotonicity,[status(thm)],[16165])).
% 24.94/16.73 tff(16167,plain,
% 24.94/16.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 24.94/16.73 inference(transitivity,[status(thm)],[16166, 16164])).
% 24.94/16.73 tff(16168,plain,
% 24.94/16.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))),
% 24.94/16.73 inference(quant_inst,[status(thm)],[])).
% 24.94/16.73 tff(16169,plain,
% 24.94/16.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93))),
% 24.94/16.73 inference(modus_ponens,[status(thm)],[16168, 16167])).
% 24.94/16.73 tff(16170,plain,
% 24.94/16.73 (v112(constB93) | (~v113(constB93))),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16169, 1050, 16163])).
% 24.94/16.73 tff(16171,plain,
% 24.94/16.73 (v112(constB93)),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16170, 16159])).
% 24.94/16.73 tff(16172,plain,
% 24.94/16.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB93) | (~v112(constB93)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v112(constB93)))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16173,plain,
% 24.94/16.73 (((~v112(constB93)) | v108(constB93)) <=> (v108(constB93) | (~v112(constB93)))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16174,plain,
% 24.94/16.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB93)) | v108(constB93))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB93) | (~v112(constB93))))),
% 24.94/16.73 inference(monotonicity,[status(thm)],[16173])).
% 24.94/16.73 tff(16175,plain,
% 24.94/16.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB93)) | v108(constB93))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v112(constB93)))),
% 24.94/16.73 inference(transitivity,[status(thm)],[16174, 16172])).
% 24.94/16.73 tff(16176,plain,
% 24.94/16.73 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB93)) | v108(constB93))),
% 24.94/16.73 inference(quant_inst,[status(thm)],[])).
% 24.94/16.73 tff(16177,plain,
% 24.94/16.73 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v112(constB93))),
% 24.94/16.73 inference(modus_ponens,[status(thm)],[16176, 16175])).
% 24.94/16.73 tff(16178,plain,
% 24.94/16.73 (v108(constB93)),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16177, 1062, 16171])).
% 24.94/16.73 tff(16179,plain,
% 24.94/16.73 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16180,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_93_1')).
% 24.94/16.73 tff(16181,plain,
% 24.94/16.73 (nextState(constB93, constB94)),
% 24.94/16.73 inference(modus_ponens,[status(thm)],[16180, 16179])).
% 24.94/16.73 tff(16182,plain,
% 24.94/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16183,plain,
% 24.94/16.73 (((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94)) <=> ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16184,plain,
% 24.94/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93))))),
% 24.94/16.73 inference(monotonicity,[status(thm)],[16183])).
% 24.94/16.73 tff(16185,plain,
% 24.94/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 24.94/16.73 inference(transitivity,[status(thm)],[16184, 16182])).
% 24.94/16.73 tff(16186,plain,
% 24.94/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))),
% 24.94/16.73 inference(quant_inst,[status(thm)],[])).
% 24.94/16.73 tff(16187,plain,
% 24.94/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93))),
% 24.94/16.73 inference(modus_ponens,[status(thm)],[16186, 16185])).
% 24.94/16.73 tff(16188,plain,
% 24.94/16.73 (v110(constB94) | (~v108(constB93))),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16187, 1082, 16181])).
% 24.94/16.73 tff(16189,plain,
% 24.94/16.73 (v110(constB94)),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16188, 16178])).
% 24.94/16.73 tff(16190,plain,
% 24.94/16.73 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16191,plain,
% 24.94/16.73 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))),
% 24.94/16.73 inference(quant_inst,[status(thm)],[])).
% 24.94/16.73 tff(16192,plain,
% 24.94/16.73 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94))),
% 24.94/16.73 inference(modus_ponens,[status(thm)],[16191, 16190])).
% 24.94/16.73 tff(16193,plain,
% 24.94/16.73 (~v104(constB94)),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16192, 1100, 16181, 16042])).
% 24.94/16.73 tff(16194,plain,
% 24.94/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16195,plain,
% 24.94/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))),
% 24.94/16.73 inference(quant_inst,[status(thm)],[])).
% 24.94/16.73 tff(16196,plain,
% 24.94/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v102(constB94) | v104(constB94)),
% 24.94/16.73 inference(modus_ponens,[status(thm)],[16195, 16194])).
% 24.94/16.73 tff(16197,plain,
% 24.94/16.73 (v102(constB94) | v104(constB94)),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16196, 1114, 16181])).
% 24.94/16.73 tff(16198,plain,
% 24.94/16.73 (v102(constB94)),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16197, 16193])).
% 24.94/16.73 tff(16199,plain,
% 24.94/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16200,plain,
% 24.94/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))),
% 24.94/16.73 inference(quant_inst,[status(thm)],[])).
% 24.94/16.73 tff(16201,plain,
% 24.94/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94))),
% 24.94/16.73 inference(modus_ponens,[status(thm)],[16200, 16199])).
% 24.94/16.73 tff(16202,plain,
% 24.94/16.73 (v101(constB94) | (~v102(constB94))),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16201, 1129, 16181, 493])).
% 24.94/16.73 tff(16203,plain,
% 24.94/16.73 (v101(constB94)),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16202, 16198])).
% 24.94/16.73 tff(16204,plain,
% 24.94/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16205,plain,
% 24.94/16.73 (((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94)) <=> ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16206,plain,
% 24.94/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94))))),
% 24.94/16.73 inference(monotonicity,[status(thm)],[16205])).
% 24.94/16.73 tff(16207,plain,
% 24.94/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 24.94/16.73 inference(transitivity,[status(thm)],[16206, 16204])).
% 24.94/16.73 tff(16208,plain,
% 24.94/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))),
% 24.94/16.73 inference(quant_inst,[status(thm)],[])).
% 24.94/16.73 tff(16209,plain,
% 24.94/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 24.94/16.73 inference(modus_ponens,[status(thm)],[16208, 16207])).
% 24.94/16.73 tff(16210,plain,
% 24.94/16.73 (v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16209, 1144, 16181])).
% 24.94/16.73 tff(16211,plain,
% 24.94/16.73 (v100(constB94) | (~v110(constB94))),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16210, 16203])).
% 24.94/16.73 tff(16212,plain,
% 24.94/16.73 (v100(constB94)),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16211, 16189])).
% 24.94/16.73 tff(16213,plain,
% 24.94/16.73 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB93)) | v130(constB93, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB93)) | v130(constB93, bitIndex2))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16214,plain,
% 24.94/16.73 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB93)) | v130(constB93, bitIndex2))),
% 24.94/16.73 inference(quant_inst,[status(thm)],[])).
% 24.94/16.73 tff(16215,plain,
% 24.94/16.73 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB93)) | v130(constB93, bitIndex2)),
% 24.94/16.73 inference(modus_ponens,[status(thm)],[16214, 16213])).
% 24.94/16.73 tff(16216,plain,
% 24.94/16.73 (v130(constB93, bitIndex2)),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16215, 1483, 16138])).
% 24.94/16.73 tff(16217,plain,
% 24.94/16.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16218,plain,
% 24.94/16.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2))),
% 24.94/16.73 inference(quant_inst,[status(thm)],[])).
% 24.94/16.73 tff(16219,plain,
% 24.94/16.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2)),
% 24.94/16.73 inference(modus_ponens,[status(thm)],[16218, 16217])).
% 24.94/16.73 tff(16220,plain,
% 24.94/16.73 ((~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2)),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16219, 1174, 16163])).
% 24.94/16.73 tff(16221,plain,
% 24.94/16.73 (v127(constB93, bitIndex2)),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16220, 16216])).
% 24.94/16.73 tff(16222,plain,
% 24.94/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16223,plain,
% 24.94/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2))),
% 24.94/16.73 inference(quant_inst,[status(thm)],[])).
% 24.94/16.73 tff(16224,plain,
% 24.94/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2)),
% 24.94/16.73 inference(modus_ponens,[status(thm)],[16223, 16222])).
% 24.94/16.73 tff(16225,plain,
% 24.94/16.73 ((~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2)),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16224, 1189, 16181])).
% 24.94/16.73 tff(16226,plain,
% 24.94/16.73 (v129(constB94, bitIndex2)),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16225, 16221])).
% 24.94/16.73 tff(16227,plain,
% 24.94/16.73 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16228,plain,
% 24.94/16.73 ((v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2))) <=> (v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16229,plain,
% 24.94/16.73 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94))))),
% 24.94/16.73 inference(monotonicity,[status(thm)],[16228])).
% 24.94/16.73 tff(16230,plain,
% 24.94/16.73 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))),
% 24.94/16.73 inference(transitivity,[status(thm)],[16229, 16227])).
% 24.94/16.73 tff(16231,plain,
% 24.94/16.73 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2)))),
% 24.94/16.73 inference(quant_inst,[status(thm)],[])).
% 24.94/16.73 tff(16232,plain,
% 24.94/16.73 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94))),
% 24.94/16.73 inference(modus_ponens,[status(thm)],[16231, 16230])).
% 24.94/16.73 tff(16233,plain,
% 24.94/16.73 (v90(constB94, bitIndex2) | (~v100(constB94))),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16232, 1204, 16226])).
% 24.94/16.73 tff(16234,plain,
% 24.94/16.73 (v90(constB94, bitIndex2)),
% 24.94/16.73 inference(unit_resolution,[status(thm)],[16233, 16212])).
% 24.94/16.73 tff(16235,plain,
% 24.94/16.73 ((~v1(constB95)) <=> (~v1(constB95))),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16236,axiom,(~v1(constB95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_95_1_1')).
% 24.94/16.73 tff(16237,plain,
% 24.94/16.73 (~v1(constB95)),
% 24.94/16.73 inference(modus_ponens,[status(thm)],[16236, 16235])).
% 24.94/16.73 tff(16238,plain,
% 24.94/16.73 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 24.94/16.73 inference(rewrite,[status(thm)],[])).
% 24.94/16.73 tff(16239,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_94_1')).
% 24.94/16.73 tff(16240,plain,
% 24.94/16.73 (nextState(constB94, constB95)),
% 24.94/16.73 inference(modus_ponens,[status(thm)],[16239, 16238])).
% 24.94/16.74 tff(16241,plain,
% 24.94/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16242,plain,
% 24.94/16.74 (((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95)) <=> (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16243,plain,
% 24.94/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95))))),
% 24.94/16.74 inference(monotonicity,[status(thm)],[16242])).
% 24.94/16.74 tff(16244,plain,
% 24.94/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 24.94/16.74 inference(transitivity,[status(thm)],[16243, 16241])).
% 24.94/16.74 tff(16245,plain,
% 24.94/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))),
% 24.94/16.74 inference(quant_inst,[status(thm)],[])).
% 24.94/16.74 tff(16246,plain,
% 24.94/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95))),
% 24.94/16.74 inference(modus_ponens,[status(thm)],[16245, 16244])).
% 24.94/16.74 tff(16247,plain,
% 24.94/16.74 (~v101(constB95)),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16246, 860, 16240, 16237])).
% 24.94/16.74 tff(16248,plain,
% 24.94/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16249,plain,
% 24.94/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))),
% 24.94/16.74 inference(quant_inst,[status(thm)],[])).
% 24.94/16.74 tff(16250,plain,
% 24.94/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95))),
% 24.94/16.74 inference(modus_ponens,[status(thm)],[16249, 16248])).
% 24.94/16.74 tff(16251,plain,
% 24.94/16.74 (v101(constB95) | (~v100(constB95))),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16250, 877, 16240])).
% 24.94/16.74 tff(16252,plain,
% 24.94/16.74 (~v100(constB95)),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16251, 16247])).
% 24.94/16.74 tff(16253,plain,
% 24.94/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16254,plain,
% 24.94/16.74 (((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2)) <=> ((~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16255,plain,
% 24.94/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2)))),
% 24.94/16.74 inference(monotonicity,[status(thm)],[16254])).
% 24.94/16.74 tff(16256,plain,
% 24.94/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))),
% 24.94/16.74 inference(transitivity,[status(thm)],[16255, 16253])).
% 24.94/16.74 tff(16257,plain,
% 24.94/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2))),
% 24.94/16.74 inference(quant_inst,[status(thm)],[])).
% 24.94/16.74 tff(16258,plain,
% 24.94/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2)),
% 24.94/16.74 inference(modus_ponens,[status(thm)],[16257, 16256])).
% 24.94/16.74 tff(16259,plain,
% 24.94/16.74 ((~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2)),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16258, 1240, 16240])).
% 24.94/16.74 tff(16260,plain,
% 24.94/16.74 ((~v90(constB94, bitIndex2)) | v90(constB95, bitIndex2)),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16259, 16252])).
% 24.94/16.74 tff(16261,plain,
% 24.94/16.74 (v90(constB95, bitIndex2)),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16260, 16234])).
% 24.94/16.74 tff(16262,plain,
% 24.94/16.74 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB93)) | v130(constB93, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB93)) | v130(constB93, bitIndex1))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16263,plain,
% 24.94/16.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB93)) | v130(constB93, bitIndex1))),
% 24.94/16.74 inference(quant_inst,[status(thm)],[])).
% 24.94/16.74 tff(16264,plain,
% 24.94/16.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB93)) | v130(constB93, bitIndex1)),
% 24.94/16.74 inference(modus_ponens,[status(thm)],[16263, 16262])).
% 24.94/16.74 tff(16265,plain,
% 24.94/16.74 (v130(constB93, bitIndex1)),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16264, 1539, 16138])).
% 24.94/16.74 tff(16266,plain,
% 24.94/16.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB93) | (~v130(constB93, bitIndex1)) | v127(constB93, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB93) | (~v130(constB93, bitIndex1)) | v127(constB93, bitIndex1))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16267,plain,
% 24.94/16.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB93) | (~v130(constB93, bitIndex1)) | v127(constB93, bitIndex1))),
% 24.94/16.74 inference(quant_inst,[status(thm)],[])).
% 24.94/16.74 tff(16268,plain,
% 24.94/16.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB93) | (~v130(constB93, bitIndex1)) | v127(constB93, bitIndex1)),
% 24.94/16.74 inference(modus_ponens,[status(thm)],[16267, 16266])).
% 24.94/16.74 tff(16269,plain,
% 24.94/16.74 ((~v130(constB93, bitIndex1)) | v127(constB93, bitIndex1)),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16268, 1553, 16163])).
% 24.94/16.74 tff(16270,plain,
% 24.94/16.74 (v127(constB93, bitIndex1)),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16269, 16265])).
% 24.94/16.74 tff(16271,plain,
% 24.94/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex1)) | v129(constB94, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex1)) | v129(constB94, bitIndex1))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16272,plain,
% 24.94/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex1)) | v129(constB94, bitIndex1))),
% 24.94/16.74 inference(quant_inst,[status(thm)],[])).
% 24.94/16.74 tff(16273,plain,
% 24.94/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex1)) | v129(constB94, bitIndex1)),
% 24.94/16.74 inference(modus_ponens,[status(thm)],[16272, 16271])).
% 24.94/16.74 tff(16274,plain,
% 24.94/16.74 ((~v127(constB93, bitIndex1)) | v129(constB94, bitIndex1)),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16273, 1568, 16181])).
% 24.94/16.74 tff(16275,plain,
% 24.94/16.74 (v129(constB94, bitIndex1)),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16274, 16270])).
% 24.94/16.74 tff(16276,plain,
% 24.94/16.74 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB94, bitIndex1) | (~v129(constB94, bitIndex1)) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB94, bitIndex1) | (~v129(constB94, bitIndex1)) | (~v100(constB94)))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16277,plain,
% 24.94/16.74 ((v90(constB94, bitIndex1) | (~v100(constB94)) | (~v129(constB94, bitIndex1))) <=> (v90(constB94, bitIndex1) | (~v129(constB94, bitIndex1)) | (~v100(constB94)))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16278,plain,
% 24.94/16.74 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB94, bitIndex1) | (~v100(constB94)) | (~v129(constB94, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB94, bitIndex1) | (~v129(constB94, bitIndex1)) | (~v100(constB94))))),
% 24.94/16.74 inference(monotonicity,[status(thm)],[16277])).
% 24.94/16.74 tff(16279,plain,
% 24.94/16.74 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB94, bitIndex1) | (~v100(constB94)) | (~v129(constB94, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB94, bitIndex1) | (~v129(constB94, bitIndex1)) | (~v100(constB94)))),
% 24.94/16.74 inference(transitivity,[status(thm)],[16278, 16276])).
% 24.94/16.74 tff(16280,plain,
% 24.94/16.74 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB94, bitIndex1) | (~v100(constB94)) | (~v129(constB94, bitIndex1)))),
% 24.94/16.74 inference(quant_inst,[status(thm)],[])).
% 24.94/16.74 tff(16281,plain,
% 24.94/16.74 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB94, bitIndex1) | (~v129(constB94, bitIndex1)) | (~v100(constB94))),
% 24.94/16.74 inference(modus_ponens,[status(thm)],[16280, 16279])).
% 24.94/16.74 tff(16282,plain,
% 24.94/16.74 (v90(constB94, bitIndex1) | (~v100(constB94))),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16281, 1583, 16275])).
% 24.94/16.74 tff(16283,plain,
% 24.94/16.74 (v90(constB94, bitIndex1)),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16282, 16212])).
% 24.94/16.74 tff(16284,plain,
% 24.94/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex1))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16285,plain,
% 24.94/16.74 (((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex1)) | v100(constB95) | v90(constB95, bitIndex1)) <=> ((~v90(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex1))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16286,plain,
% 24.94/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex1)) | v100(constB95) | v90(constB95, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex1)))),
% 24.94/16.74 inference(monotonicity,[status(thm)],[16285])).
% 24.94/16.74 tff(16287,plain,
% 24.94/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex1)) | v100(constB95) | v90(constB95, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex1))),
% 24.94/16.74 inference(transitivity,[status(thm)],[16286, 16284])).
% 24.94/16.74 tff(16288,plain,
% 24.94/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex1)) | v100(constB95) | v90(constB95, bitIndex1))),
% 24.94/16.74 inference(quant_inst,[status(thm)],[])).
% 24.94/16.74 tff(16289,plain,
% 24.94/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex1)),
% 24.94/16.74 inference(modus_ponens,[status(thm)],[16288, 16287])).
% 24.94/16.74 tff(16290,plain,
% 24.94/16.74 ((~v90(constB94, bitIndex1)) | v100(constB95) | v90(constB95, bitIndex1)),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16289, 1601, 16240])).
% 24.94/16.74 tff(16291,plain,
% 24.94/16.74 ((~v90(constB94, bitIndex1)) | v90(constB95, bitIndex1)),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16290, 16252])).
% 24.94/16.74 tff(16292,plain,
% 24.94/16.74 (v90(constB95, bitIndex1)),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16291, 16283])).
% 24.94/16.74 tff(16293,plain,
% 24.94/16.74 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB93)) | (~v130(constB93, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB93)) | (~v130(constB93, bitIndex0)))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16294,plain,
% 24.94/16.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB93)) | (~v130(constB93, bitIndex0)))),
% 24.94/16.74 inference(quant_inst,[status(thm)],[])).
% 24.94/16.74 tff(16295,plain,
% 24.94/16.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB93)) | (~v130(constB93, bitIndex0))),
% 24.94/16.74 inference(modus_ponens,[status(thm)],[16294, 16293])).
% 24.94/16.74 tff(16296,plain,
% 24.94/16.74 (~v130(constB93, bitIndex0)),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16295, 1617, 16138])).
% 24.94/16.74 tff(16297,plain,
% 24.94/16.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB93, bitIndex0)) | v26(constB93) | v130(constB93, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB93, bitIndex0)) | v26(constB93) | v130(constB93, bitIndex0))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16298,plain,
% 24.94/16.74 ((v26(constB93) | v130(constB93, bitIndex0) | (~v127(constB93, bitIndex0))) <=> ((~v127(constB93, bitIndex0)) | v26(constB93) | v130(constB93, bitIndex0))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16299,plain,
% 24.94/16.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB93) | v130(constB93, bitIndex0) | (~v127(constB93, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB93, bitIndex0)) | v26(constB93) | v130(constB93, bitIndex0)))),
% 24.94/16.74 inference(monotonicity,[status(thm)],[16298])).
% 24.94/16.74 tff(16300,plain,
% 24.94/16.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB93) | v130(constB93, bitIndex0) | (~v127(constB93, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB93, bitIndex0)) | v26(constB93) | v130(constB93, bitIndex0))),
% 24.94/16.74 inference(transitivity,[status(thm)],[16299, 16297])).
% 24.94/16.74 tff(16301,plain,
% 24.94/16.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB93) | v130(constB93, bitIndex0) | (~v127(constB93, bitIndex0)))),
% 24.94/16.74 inference(quant_inst,[status(thm)],[])).
% 24.94/16.74 tff(16302,plain,
% 24.94/16.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB93, bitIndex0)) | v26(constB93) | v130(constB93, bitIndex0)),
% 24.94/16.74 inference(modus_ponens,[status(thm)],[16301, 16300])).
% 24.94/16.74 tff(16303,plain,
% 24.94/16.74 ((~v127(constB93, bitIndex0)) | v130(constB93, bitIndex0)),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16302, 1341, 16163])).
% 24.94/16.74 tff(16304,plain,
% 24.94/16.74 (~v127(constB93, bitIndex0)),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16303, 16296])).
% 24.94/16.74 tff(16305,plain,
% 24.94/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v127(constB93, bitIndex0) | (~v129(constB94, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB93, constB94)) | v127(constB93, bitIndex0) | (~v129(constB94, bitIndex0)))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16306,plain,
% 24.94/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v127(constB93, bitIndex0) | (~v129(constB94, bitIndex0)))),
% 24.94/16.74 inference(quant_inst,[status(thm)],[])).
% 24.94/16.74 tff(16307,plain,
% 24.94/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB93, constB94)) | v127(constB93, bitIndex0) | (~v129(constB94, bitIndex0))),
% 24.94/16.74 inference(modus_ponens,[status(thm)],[16306, 16305])).
% 24.94/16.74 tff(16308,plain,
% 24.94/16.74 (v127(constB93, bitIndex0) | (~v129(constB94, bitIndex0))),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16307, 1359, 16181])).
% 24.94/16.74 tff(16309,plain,
% 24.94/16.74 (~v129(constB94, bitIndex0)),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16308, 16304])).
% 24.94/16.74 tff(16310,plain,
% 24.94/16.74 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | v129(constB94, bitIndex0) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB94, bitIndex0)) | v129(constB94, bitIndex0) | (~v100(constB94)))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16311,plain,
% 24.94/16.74 (((~v90(constB94, bitIndex0)) | (~v100(constB94)) | v129(constB94, bitIndex0)) <=> ((~v90(constB94, bitIndex0)) | v129(constB94, bitIndex0) | (~v100(constB94)))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16312,plain,
% 24.94/16.74 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | (~v100(constB94)) | v129(constB94, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | v129(constB94, bitIndex0) | (~v100(constB94))))),
% 24.94/16.74 inference(monotonicity,[status(thm)],[16311])).
% 24.94/16.74 tff(16313,plain,
% 24.94/16.74 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | (~v100(constB94)) | v129(constB94, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB94, bitIndex0)) | v129(constB94, bitIndex0) | (~v100(constB94)))),
% 24.94/16.74 inference(transitivity,[status(thm)],[16312, 16310])).
% 24.94/16.74 tff(16314,plain,
% 24.94/16.74 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | (~v100(constB94)) | v129(constB94, bitIndex0))),
% 24.94/16.74 inference(quant_inst,[status(thm)],[])).
% 24.94/16.74 tff(16315,plain,
% 24.94/16.74 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB94, bitIndex0)) | v129(constB94, bitIndex0) | (~v100(constB94))),
% 24.94/16.74 inference(modus_ponens,[status(thm)],[16314, 16313])).
% 24.94/16.74 tff(16316,plain,
% 24.94/16.74 ((~v90(constB94, bitIndex0)) | (~v100(constB94))),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16315, 1374, 16309])).
% 24.94/16.74 tff(16317,plain,
% 24.94/16.74 (~v90(constB94, bitIndex0)),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16316, 16212])).
% 24.94/16.74 tff(16318,plain,
% 24.94/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex0)))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16319,plain,
% 24.94/16.74 (((~nextState(constB94, constB95)) | v90(constB94, bitIndex0) | v100(constB95) | (~v90(constB95, bitIndex0))) <=> (v90(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex0)))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16320,plain,
% 24.94/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB94, constB95)) | v90(constB94, bitIndex0) | v100(constB95) | (~v90(constB95, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex0))))),
% 24.94/16.74 inference(monotonicity,[status(thm)],[16319])).
% 24.94/16.74 tff(16321,plain,
% 24.94/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB94, constB95)) | v90(constB94, bitIndex0) | v100(constB95) | (~v90(constB95, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex0)))),
% 24.94/16.74 inference(transitivity,[status(thm)],[16320, 16318])).
% 24.94/16.74 tff(16322,plain,
% 24.94/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB94, constB95)) | v90(constB94, bitIndex0) | v100(constB95) | (~v90(constB95, bitIndex0)))),
% 24.94/16.74 inference(quant_inst,[status(thm)],[])).
% 24.94/16.74 tff(16323,plain,
% 24.94/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex0))),
% 24.94/16.74 inference(modus_ponens,[status(thm)],[16322, 16321])).
% 24.94/16.74 tff(16324,plain,
% 24.94/16.74 (v90(constB94, bitIndex0) | v100(constB95) | (~v90(constB95, bitIndex0))),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16323, 934, 16240])).
% 24.94/16.74 tff(16325,plain,
% 24.94/16.74 (v90(constB94, bitIndex0) | (~v90(constB95, bitIndex0))),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16324, 16252])).
% 24.94/16.74 tff(16326,plain,
% 24.94/16.74 (~v90(constB95, bitIndex0)),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16325, 16317])).
% 24.94/16.74 tff(16327,plain,
% 24.94/16.74 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)) | v125(constB95))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)) | v125(constB95))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16328,plain,
% 24.94/16.74 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)) | v125(constB95))),
% 24.94/16.74 inference(quant_inst,[status(thm)],[])).
% 24.94/16.74 tff(16329,plain,
% 24.94/16.74 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)) | v125(constB95)),
% 24.94/16.74 inference(modus_ponens,[status(thm)],[16328, 16327])).
% 24.94/16.74 tff(16330,plain,
% 24.94/16.74 (v125(constB95)),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16329, 1661, 16326, 16292, 16261])).
% 24.94/16.74 tff(16331,plain,
% 24.94/16.74 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB95)) | v113(constB95))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB95)) | v113(constB95))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16332,plain,
% 24.94/16.74 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB95)) | v113(constB95))),
% 24.94/16.74 inference(quant_inst,[status(thm)],[])).
% 24.94/16.74 tff(16333,plain,
% 24.94/16.74 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB95)) | v113(constB95)),
% 24.94/16.74 inference(modus_ponens,[status(thm)],[16332, 16331])).
% 24.94/16.74 tff(16334,plain,
% 24.94/16.74 (v113(constB95)),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16333, 1672, 16330])).
% 24.94/16.74 tff(16335,assumption,(v26(constB95)), introduced(assumption)).
% 24.94/16.74 tff(16336,plain,
% 24.94/16.74 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB95))),
% 24.94/16.74 inference(quant_inst,[status(thm)],[])).
% 24.94/16.74 tff(16337,plain,
% 24.94/16.74 ($false),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16336, 797, 16335])).
% 24.94/16.74 tff(16338,plain,(~v26(constB95)), inference(lemma,lemma(discharge,[]))).
% 24.94/16.74 tff(16339,plain,
% 24.94/16.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | (~v113(constB95)) | v112(constB95))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16340,plain,
% 24.94/16.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))),
% 24.94/16.74 inference(quant_inst,[status(thm)],[])).
% 24.94/16.74 tff(16341,plain,
% 24.94/16.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | (~v113(constB95)) | v112(constB95)),
% 24.94/16.74 inference(modus_ponens,[status(thm)],[16340, 16339])).
% 24.94/16.74 tff(16342,plain,
% 24.94/16.74 ((~v113(constB95)) | v112(constB95)),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16341, 1050, 16338])).
% 24.94/16.74 tff(16343,plain,
% 24.94/16.74 (v112(constB95)),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16342, 16334])).
% 24.94/16.74 tff(16344,plain,
% 24.94/16.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB95) | (~v112(constB95)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v112(constB95)))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16345,plain,
% 24.94/16.74 (((~v112(constB95)) | v108(constB95)) <=> (v108(constB95) | (~v112(constB95)))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16346,plain,
% 24.94/16.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB95)) | v108(constB95))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB95) | (~v112(constB95))))),
% 24.94/16.74 inference(monotonicity,[status(thm)],[16345])).
% 24.94/16.74 tff(16347,plain,
% 24.94/16.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB95)) | v108(constB95))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v112(constB95)))),
% 24.94/16.74 inference(transitivity,[status(thm)],[16346, 16344])).
% 24.94/16.74 tff(16348,plain,
% 24.94/16.74 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB95)) | v108(constB95))),
% 24.94/16.74 inference(quant_inst,[status(thm)],[])).
% 24.94/16.74 tff(16349,plain,
% 24.94/16.74 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v112(constB95))),
% 24.94/16.74 inference(modus_ponens,[status(thm)],[16348, 16347])).
% 24.94/16.74 tff(16350,plain,
% 24.94/16.74 (v108(constB95)),
% 24.94/16.74 inference(unit_resolution,[status(thm)],[16349, 1062, 16343])).
% 24.94/16.74 tff(16351,plain,
% 24.94/16.74 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16352,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_95_1')).
% 24.94/16.74 tff(16353,plain,
% 24.94/16.74 (nextState(constB95, constB96)),
% 24.94/16.74 inference(modus_ponens,[status(thm)],[16352, 16351])).
% 24.94/16.74 tff(16354,plain,
% 24.94/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16355,plain,
% 24.94/16.74 (((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96)) <=> ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 24.94/16.74 inference(rewrite,[status(thm)],[])).
% 24.94/16.74 tff(16356,plain,
% 24.94/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95))))),
% 24.94/16.74 inference(monotonicity,[status(thm)],[16355])).
% 24.94/16.74 tff(16357,plain,
% 24.94/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 24.94/16.74 inference(transitivity,[status(thm)],[16356, 16354])).
% 24.94/16.74 tff(16358,plain,
% 24.94/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))),
% 24.94/16.75 inference(quant_inst,[status(thm)],[])).
% 24.94/16.75 tff(16359,plain,
% 24.94/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95))),
% 24.94/16.75 inference(modus_ponens,[status(thm)],[16358, 16357])).
% 24.94/16.75 tff(16360,plain,
% 24.94/16.75 (v110(constB96) | (~v108(constB95))),
% 24.94/16.75 inference(unit_resolution,[status(thm)],[16359, 1082, 16353])).
% 24.94/16.75 tff(16361,plain,
% 24.94/16.75 (v110(constB96)),
% 24.94/16.75 inference(unit_resolution,[status(thm)],[16360, 16350])).
% 24.94/16.75 tff(16362,plain,
% 24.94/16.75 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))),
% 24.94/16.75 inference(rewrite,[status(thm)],[])).
% 24.94/16.75 tff(16363,plain,
% 24.94/16.75 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))),
% 24.94/16.75 inference(quant_inst,[status(thm)],[])).
% 24.94/16.75 tff(16364,plain,
% 24.94/16.75 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96))),
% 24.94/16.75 inference(modus_ponens,[status(thm)],[16363, 16362])).
% 24.94/16.75 tff(16365,plain,
% 24.94/16.75 (~v104(constB96)),
% 24.94/16.75 inference(unit_resolution,[status(thm)],[16364, 1100, 16353, 16237])).
% 24.94/16.75 tff(16366,plain,
% 24.94/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))),
% 24.94/16.75 inference(rewrite,[status(thm)],[])).
% 24.94/16.75 tff(16367,plain,
% 24.94/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))),
% 24.94/16.75 inference(quant_inst,[status(thm)],[])).
% 24.94/16.75 tff(16368,plain,
% 24.94/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v102(constB96) | v104(constB96)),
% 24.94/16.75 inference(modus_ponens,[status(thm)],[16367, 16366])).
% 24.94/16.75 tff(16369,plain,
% 24.94/16.75 (v102(constB96) | v104(constB96)),
% 24.94/16.75 inference(unit_resolution,[status(thm)],[16368, 1114, 16353])).
% 24.94/16.75 tff(16370,plain,
% 24.94/16.75 (v102(constB96)),
% 24.94/16.75 inference(unit_resolution,[status(thm)],[16369, 16365])).
% 24.94/16.75 tff(16371,plain,
% 24.94/16.75 (v1(constB96) <=> v1(constB96)),
% 24.94/16.75 inference(rewrite,[status(thm)],[])).
% 24.94/16.75 tff(16372,axiom,(v1(constB96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_96_1')).
% 24.94/16.75 tff(16373,plain,
% 24.94/16.75 (v1(constB96)),
% 24.94/16.75 inference(modus_ponens,[status(thm)],[16372, 16371])).
% 24.94/16.75 tff(16374,plain,
% 24.94/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))),
% 24.94/16.75 inference(rewrite,[status(thm)],[])).
% 24.94/16.75 tff(16375,plain,
% 24.94/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))),
% 24.94/16.75 inference(quant_inst,[status(thm)],[])).
% 24.94/16.75 tff(16376,plain,
% 24.94/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96))),
% 24.94/16.75 inference(modus_ponens,[status(thm)],[16375, 16374])).
% 24.94/16.75 tff(16377,plain,
% 24.94/16.75 (v101(constB96) | (~v102(constB96))),
% 24.94/16.75 inference(unit_resolution,[status(thm)],[16376, 1129, 16353, 16373])).
% 24.94/16.75 tff(16378,plain,
% 24.94/16.75 (v101(constB96)),
% 24.94/16.75 inference(unit_resolution,[status(thm)],[16377, 16370])).
% 24.94/16.75 tff(16379,plain,
% 24.94/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 24.94/16.75 inference(rewrite,[status(thm)],[])).
% 24.94/16.75 tff(16380,plain,
% 24.94/16.75 (((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96)) <=> ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 24.94/16.75 inference(rewrite,[status(thm)],[])).
% 24.94/16.75 tff(16381,plain,
% 24.94/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96))))),
% 24.94/16.75 inference(monotonicity,[status(thm)],[16380])).
% 24.94/16.75 tff(16382,plain,
% 24.94/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 24.94/16.75 inference(transitivity,[status(thm)],[16381, 16379])).
% 24.94/16.75 tff(16383,plain,
% 24.94/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))),
% 24.94/16.75 inference(quant_inst,[status(thm)],[])).
% 24.94/16.75 tff(16384,plain,
% 24.94/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 24.94/16.75 inference(modus_ponens,[status(thm)],[16383, 16382])).
% 24.94/16.75 tff(16385,plain,
% 24.94/16.75 (v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 24.94/16.75 inference(unit_resolution,[status(thm)],[16384, 1144, 16353])).
% 24.94/16.75 tff(16386,plain,
% 24.94/16.75 (v100(constB96) | (~v110(constB96))),
% 24.94/16.75 inference(unit_resolution,[status(thm)],[16385, 16378])).
% 24.94/16.75 tff(16387,plain,
% 24.94/16.75 (v100(constB96)),
% 24.94/16.75 inference(unit_resolution,[status(thm)],[16386, 16361])).
% 24.94/16.75 tff(16388,plain,
% 24.94/16.75 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB95)) | (~v90(constB95, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB95)) | (~v90(constB95, bitIndex2)))),
% 24.94/16.75 inference(rewrite,[status(thm)],[])).
% 24.94/16.75 tff(16389,plain,
% 24.94/16.75 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB95)) | (~v90(constB95, bitIndex2)))),
% 24.94/16.75 inference(quant_inst,[status(thm)],[])).
% 24.94/16.75 tff(16390,plain,
% 24.94/16.75 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB95)) | (~v90(constB95, bitIndex2))),
% 24.94/16.75 inference(modus_ponens,[status(thm)],[16389, 16388])).
% 24.94/16.75 tff(16391,plain,
% 24.94/16.75 (~v121(constB95)),
% 24.94/16.75 inference(unit_resolution,[status(thm)],[16390, 1729, 16261])).
% 24.94/16.75 tff(16392,plain,
% 25.04/16.75 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB95)) | (~v90(constB95, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB95)) | (~v90(constB95, bitIndex2)))),
% 25.04/16.75 inference(rewrite,[status(thm)],[])).
% 25.04/16.75 tff(16393,plain,
% 25.04/16.75 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB95)) | (~v90(constB95, bitIndex2)))),
% 25.04/16.75 inference(quant_inst,[status(thm)],[])).
% 25.04/16.75 tff(16394,plain,
% 25.04/16.75 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB95)) | (~v90(constB95, bitIndex2))),
% 25.04/16.75 inference(modus_ponens,[status(thm)],[16393, 16392])).
% 25.04/16.75 tff(16395,plain,
% 25.04/16.75 (~v122(constB95)),
% 25.04/16.75 inference(unit_resolution,[status(thm)],[16394, 1740, 16261])).
% 25.04/16.75 tff(16396,plain,
% 25.04/16.75 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB95)) | (~v90(constB95, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB95)) | (~v90(constB95, bitIndex1)))),
% 25.04/16.75 inference(rewrite,[status(thm)],[])).
% 25.04/16.75 tff(16397,plain,
% 25.04/16.75 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB95)) | (~v90(constB95, bitIndex1)))),
% 25.04/16.75 inference(quant_inst,[status(thm)],[])).
% 25.04/16.75 tff(16398,plain,
% 25.04/16.75 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB95)) | (~v90(constB95, bitIndex1))),
% 25.04/16.75 inference(modus_ponens,[status(thm)],[16397, 16396])).
% 25.04/16.75 tff(16399,plain,
% 25.04/16.75 (~v119(constB95)),
% 25.04/16.75 inference(unit_resolution,[status(thm)],[16398, 1751, 16292])).
% 25.04/16.75 tff(16400,plain,
% 25.04/16.75 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB95)) | (~v90(constB95, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB95)) | (~v90(constB95, bitIndex1)))),
% 25.04/16.75 inference(rewrite,[status(thm)],[])).
% 25.04/16.75 tff(16401,plain,
% 25.04/16.75 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB95)) | (~v90(constB95, bitIndex1)))),
% 25.04/16.75 inference(quant_inst,[status(thm)],[])).
% 25.04/16.75 tff(16402,plain,
% 25.04/16.75 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB95)) | (~v90(constB95, bitIndex1))),
% 25.04/16.75 inference(modus_ponens,[status(thm)],[16401, 16400])).
% 25.04/16.75 tff(16403,plain,
% 25.04/16.75 (~v120(constB95)),
% 25.04/16.75 inference(unit_resolution,[status(thm)],[16402, 1762, 16292])).
% 25.04/16.75 tff(16404,plain,
% 25.04/16.75 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB95)) | (~v90(constB95, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB95)) | (~v90(constB95, bitIndex1)))),
% 25.04/16.75 inference(rewrite,[status(thm)],[])).
% 25.04/16.75 tff(16405,plain,
% 25.04/16.75 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB95)) | (~v90(constB95, bitIndex1)))),
% 25.04/16.75 inference(quant_inst,[status(thm)],[])).
% 25.04/16.75 tff(16406,plain,
% 25.04/16.75 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB95)) | (~v90(constB95, bitIndex1))),
% 25.04/16.75 inference(modus_ponens,[status(thm)],[16405, 16404])).
% 25.04/16.75 tff(16407,plain,
% 25.04/16.75 (~v124(constB95)),
% 25.04/16.75 inference(unit_resolution,[status(thm)],[16406, 1784, 16292])).
% 25.04/16.75 tff(16408,plain,
% 25.04/16.75 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB95)) | (~v90(constB95, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB95)) | (~v90(constB95, bitIndex1)))),
% 25.04/16.75 inference(rewrite,[status(thm)],[])).
% 25.04/16.75 tff(16409,plain,
% 25.04/16.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB95)) | (~v90(constB95, bitIndex1)))),
% 25.04/16.75 inference(quant_inst,[status(thm)],[])).
% 25.04/16.75 tff(16410,plain,
% 25.04/16.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB95)) | (~v90(constB95, bitIndex1))),
% 25.04/16.75 inference(modus_ponens,[status(thm)],[16409, 16408])).
% 25.04/16.75 tff(16411,plain,
% 25.04/16.75 (~v123(constB95)),
% 25.04/16.75 inference(unit_resolution,[status(thm)],[16410, 1773, 16292])).
% 25.04/16.75 tff(16412,plain,
% 25.04/16.75 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex2)))),
% 25.04/16.75 inference(rewrite,[status(thm)],[])).
% 25.04/16.75 tff(16413,plain,
% 25.04/16.75 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex2)))),
% 25.04/16.75 inference(quant_inst,[status(thm)],[])).
% 25.04/16.75 tff(16414,plain,
% 25.04/16.75 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex2))),
% 25.04/16.75 inference(modus_ponens,[status(thm)],[16413, 16412])).
% 25.04/16.75 tff(16415,plain,
% 25.04/16.75 (~v130(constB95, bitIndex2)),
% 25.04/16.75 inference(unit_resolution,[status(thm)],[16414, 1798, 16411, 16407, 16403, 16399, 16395, 16391])).
% 25.04/16.75 tff(16416,plain,
% 25.04/16.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB95, bitIndex2)) | v26(constB95) | v130(constB95, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB95, bitIndex2)) | v26(constB95) | v130(constB95, bitIndex2))),
% 25.04/16.75 inference(rewrite,[status(thm)],[])).
% 25.04/16.75 tff(16417,plain,
% 25.04/16.75 ((v26(constB95) | v130(constB95, bitIndex2) | (~v127(constB95, bitIndex2))) <=> ((~v127(constB95, bitIndex2)) | v26(constB95) | v130(constB95, bitIndex2))),
% 25.04/16.75 inference(rewrite,[status(thm)],[])).
% 25.04/16.75 tff(16418,plain,
% 25.04/16.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB95) | v130(constB95, bitIndex2) | (~v127(constB95, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB95, bitIndex2)) | v26(constB95) | v130(constB95, bitIndex2)))),
% 25.04/16.75 inference(monotonicity,[status(thm)],[16417])).
% 25.04/16.75 tff(16419,plain,
% 25.04/16.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB95) | v130(constB95, bitIndex2) | (~v127(constB95, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB95, bitIndex2)) | v26(constB95) | v130(constB95, bitIndex2))),
% 25.04/16.75 inference(transitivity,[status(thm)],[16418, 16416])).
% 25.04/16.75 tff(16420,plain,
% 25.04/16.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB95) | v130(constB95, bitIndex2) | (~v127(constB95, bitIndex2)))),
% 25.04/16.75 inference(quant_inst,[status(thm)],[])).
% 25.04/16.75 tff(16421,plain,
% 25.04/16.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB95, bitIndex2)) | v26(constB95) | v130(constB95, bitIndex2)),
% 25.04/16.75 inference(modus_ponens,[status(thm)],[16420, 16419])).
% 25.04/16.75 tff(16422,plain,
% 25.04/16.75 ((~v127(constB95, bitIndex2)) | v130(constB95, bitIndex2)),
% 25.04/16.75 inference(unit_resolution,[status(thm)],[16421, 1812, 16338])).
% 25.04/16.75 tff(16423,plain,
% 25.04/16.75 (~v127(constB95, bitIndex2)),
% 25.04/16.75 inference(unit_resolution,[status(thm)],[16422, 16415])).
% 25.04/16.75 tff(16424,plain,
% 25.04/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB95, constB96)) | v127(constB95, bitIndex2) | (~v129(constB96, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB95, constB96)) | v127(constB95, bitIndex2) | (~v129(constB96, bitIndex2)))),
% 25.04/16.75 inference(rewrite,[status(thm)],[])).
% 25.04/16.75 tff(16425,plain,
% 25.04/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB95, constB96)) | v127(constB95, bitIndex2) | (~v129(constB96, bitIndex2)))),
% 25.04/16.75 inference(quant_inst,[status(thm)],[])).
% 25.04/16.75 tff(16426,plain,
% 25.04/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB95, constB96)) | v127(constB95, bitIndex2) | (~v129(constB96, bitIndex2))),
% 25.04/16.75 inference(modus_ponens,[status(thm)],[16425, 16424])).
% 25.04/16.75 tff(16427,plain,
% 25.04/16.75 (v127(constB95, bitIndex2) | (~v129(constB96, bitIndex2))),
% 25.04/16.75 inference(unit_resolution,[status(thm)],[16426, 1830, 16353])).
% 25.04/16.75 tff(16428,plain,
% 25.04/16.75 (~v129(constB96, bitIndex2)),
% 25.04/16.75 inference(unit_resolution,[status(thm)],[16427, 16423])).
% 25.04/16.75 tff(16429,plain,
% 25.04/16.75 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB96, bitIndex2)) | v129(constB96, bitIndex2) | (~v100(constB96)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB96, bitIndex2)) | v129(constB96, bitIndex2) | (~v100(constB96)))),
% 25.04/16.75 inference(rewrite,[status(thm)],[])).
% 25.04/16.75 tff(16430,plain,
% 25.04/16.75 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB96, bitIndex2)) | v129(constB96, bitIndex2) | (~v100(constB96)))),
% 25.04/16.75 inference(quant_inst,[status(thm)],[])).
% 25.04/16.75 tff(16431,plain,
% 25.04/16.75 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB96, bitIndex2)) | v129(constB96, bitIndex2) | (~v100(constB96))),
% 25.04/16.75 inference(modus_ponens,[status(thm)],[16430, 16429])).
% 25.04/16.75 tff(16432,plain,
% 25.04/16.75 ((~v90(constB96, bitIndex2)) | (~v100(constB96))),
% 25.04/16.75 inference(unit_resolution,[status(thm)],[16431, 1845, 16428])).
% 25.04/16.75 tff(16433,plain,
% 25.04/16.75 (~v90(constB96, bitIndex2)),
% 25.04/16.75 inference(unit_resolution,[status(thm)],[16432, 16387])).
% 25.04/16.75 tff(16434,plain,
% 25.04/16.75 ((~v1(constB97)) <=> (~v1(constB97))),
% 25.04/16.75 inference(rewrite,[status(thm)],[])).
% 25.04/16.75 tff(16435,axiom,(~v1(constB97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_97_1_1')).
% 25.04/16.75 tff(16436,plain,
% 25.04/16.75 (~v1(constB97)),
% 25.04/16.75 inference(modus_ponens,[status(thm)],[16435, 16434])).
% 25.04/16.75 tff(16437,plain,
% 25.04/16.75 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 25.04/16.75 inference(rewrite,[status(thm)],[])).
% 25.04/16.75 tff(16438,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_96_1')).
% 25.04/16.75 tff(16439,plain,
% 25.04/16.75 (nextState(constB96, constB97)),
% 25.04/16.75 inference(modus_ponens,[status(thm)],[16438, 16437])).
% 25.04/16.75 tff(16440,plain,
% 25.04/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 25.04/16.75 inference(rewrite,[status(thm)],[])).
% 25.04/16.75 tff(16441,plain,
% 25.04/16.75 (((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97)) <=> (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 25.04/16.75 inference(rewrite,[status(thm)],[])).
% 25.04/16.75 tff(16442,plain,
% 25.04/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97))))),
% 25.04/16.75 inference(monotonicity,[status(thm)],[16441])).
% 25.04/16.75 tff(16443,plain,
% 25.04/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 25.04/16.75 inference(transitivity,[status(thm)],[16442, 16440])).
% 25.04/16.75 tff(16444,plain,
% 25.04/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))),
% 25.04/16.75 inference(quant_inst,[status(thm)],[])).
% 25.04/16.75 tff(16445,plain,
% 25.04/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97))),
% 25.04/16.75 inference(modus_ponens,[status(thm)],[16444, 16443])).
% 25.04/16.75 tff(16446,plain,
% 25.04/16.75 (~v101(constB97)),
% 25.04/16.75 inference(unit_resolution,[status(thm)],[16445, 860, 16439, 16436])).
% 25.04/16.75 tff(16447,plain,
% 25.04/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))),
% 25.04/16.75 inference(rewrite,[status(thm)],[])).
% 25.04/16.75 tff(16448,plain,
% 25.04/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))),
% 25.04/16.75 inference(quant_inst,[status(thm)],[])).
% 25.04/16.75 tff(16449,plain,
% 25.04/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97))),
% 25.04/16.75 inference(modus_ponens,[status(thm)],[16448, 16447])).
% 25.04/16.75 tff(16450,plain,
% 25.04/16.75 (v101(constB97) | (~v100(constB97))),
% 25.04/16.75 inference(unit_resolution,[status(thm)],[16449, 877, 16439])).
% 25.04/16.75 tff(16451,plain,
% 25.04/16.75 (~v100(constB97)),
% 25.04/16.75 inference(unit_resolution,[status(thm)],[16450, 16446])).
% 25.04/16.75 tff(16452,plain,
% 25.04/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex2)))),
% 25.04/16.75 inference(rewrite,[status(thm)],[])).
% 25.04/16.75 tff(16453,plain,
% 25.04/16.75 (((~nextState(constB96, constB97)) | v90(constB96, bitIndex2) | v100(constB97) | (~v90(constB97, bitIndex2))) <=> (v90(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex2)))),
% 25.04/16.75 inference(rewrite,[status(thm)],[])).
% 25.04/16.75 tff(16454,plain,
% 25.04/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex2) | v100(constB97) | (~v90(constB97, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex2))))),
% 25.04/16.75 inference(monotonicity,[status(thm)],[16453])).
% 25.04/16.75 tff(16455,plain,
% 25.04/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex2) | v100(constB97) | (~v90(constB97, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex2)))),
% 25.04/16.75 inference(transitivity,[status(thm)],[16454, 16452])).
% 25.04/16.75 tff(16456,plain,
% 25.04/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex2) | v100(constB97) | (~v90(constB97, bitIndex2)))),
% 25.04/16.75 inference(quant_inst,[status(thm)],[])).
% 25.04/16.75 tff(16457,plain,
% 25.04/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex2))),
% 25.04/16.75 inference(modus_ponens,[status(thm)],[16456, 16455])).
% 25.04/16.75 tff(16458,plain,
% 25.04/16.75 (v90(constB96, bitIndex2) | v100(constB97) | (~v90(constB97, bitIndex2))),
% 25.04/16.75 inference(unit_resolution,[status(thm)],[16457, 892, 16439])).
% 25.04/16.75 tff(16459,plain,
% 25.04/16.75 (v90(constB96, bitIndex2) | (~v90(constB97, bitIndex2))),
% 25.04/16.75 inference(unit_resolution,[status(thm)],[16458, 16451])).
% 25.04/16.75 tff(16460,plain,
% 25.04/16.75 (~v90(constB97, bitIndex2)),
% 25.04/16.75 inference(unit_resolution,[status(thm)],[16459, 16433])).
% 25.04/16.75 tff(16461,plain,
% 25.04/16.75 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex1)))),
% 25.04/16.75 inference(rewrite,[status(thm)],[])).
% 25.04/16.75 tff(16462,plain,
% 25.04/16.75 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex1)))),
% 25.04/16.75 inference(quant_inst,[status(thm)],[])).
% 25.04/16.75 tff(16463,plain,
% 25.04/16.75 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex1))),
% 25.04/16.75 inference(modus_ponens,[status(thm)],[16462, 16461])).
% 25.04/16.75 tff(16464,plain,
% 25.04/16.75 (~v130(constB95, bitIndex1)),
% 25.04/16.75 inference(unit_resolution,[status(thm)],[16463, 1887, 16411, 16407, 16403, 16399, 16395, 16391])).
% 25.04/16.75 tff(16465,plain,
% 25.04/16.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB95, bitIndex1)) | v26(constB95) | v130(constB95, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB95, bitIndex1)) | v26(constB95) | v130(constB95, bitIndex1))),
% 25.04/16.75 inference(rewrite,[status(thm)],[])).
% 25.04/16.75 tff(16466,plain,
% 25.04/16.75 ((v26(constB95) | v130(constB95, bitIndex1) | (~v127(constB95, bitIndex1))) <=> ((~v127(constB95, bitIndex1)) | v26(constB95) | v130(constB95, bitIndex1))),
% 25.04/16.75 inference(rewrite,[status(thm)],[])).
% 25.04/16.75 tff(16467,plain,
% 25.04/16.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB95) | v130(constB95, bitIndex1) | (~v127(constB95, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB95, bitIndex1)) | v26(constB95) | v130(constB95, bitIndex1)))),
% 25.04/16.75 inference(monotonicity,[status(thm)],[16466])).
% 25.04/16.75 tff(16468,plain,
% 25.04/16.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB95) | v130(constB95, bitIndex1) | (~v127(constB95, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB95, bitIndex1)) | v26(constB95) | v130(constB95, bitIndex1))),
% 25.04/16.75 inference(transitivity,[status(thm)],[16467, 16465])).
% 25.04/16.75 tff(16469,plain,
% 25.04/16.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB95) | v130(constB95, bitIndex1) | (~v127(constB95, bitIndex1)))),
% 25.04/16.75 inference(quant_inst,[status(thm)],[])).
% 25.04/16.75 tff(16470,plain,
% 25.04/16.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB95, bitIndex1)) | v26(constB95) | v130(constB95, bitIndex1)),
% 25.04/16.75 inference(modus_ponens,[status(thm)],[16469, 16468])).
% 25.04/16.75 tff(16471,plain,
% 25.04/16.75 ((~v127(constB95, bitIndex1)) | v130(constB95, bitIndex1)),
% 25.04/16.75 inference(unit_resolution,[status(thm)],[16470, 1270, 16338])).
% 25.04/16.75 tff(16472,plain,
% 25.04/16.75 (~v127(constB95, bitIndex1)),
% 25.04/16.75 inference(unit_resolution,[status(thm)],[16471, 16464])).
% 25.04/16.75 tff(16473,plain,
% 25.04/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB95, constB96)) | v127(constB95, bitIndex1) | (~v129(constB96, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB95, constB96)) | v127(constB95, bitIndex1) | (~v129(constB96, bitIndex1)))),
% 25.04/16.75 inference(rewrite,[status(thm)],[])).
% 25.04/16.75 tff(16474,plain,
% 25.04/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB95, constB96)) | v127(constB95, bitIndex1) | (~v129(constB96, bitIndex1)))),
% 25.04/16.75 inference(quant_inst,[status(thm)],[])).
% 25.04/16.75 tff(16475,plain,
% 25.04/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB95, constB96)) | v127(constB95, bitIndex1) | (~v129(constB96, bitIndex1))),
% 25.04/16.75 inference(modus_ponens,[status(thm)],[16474, 16473])).
% 25.04/16.75 tff(16476,plain,
% 25.04/16.75 (v127(constB95, bitIndex1) | (~v129(constB96, bitIndex1))),
% 25.04/16.75 inference(unit_resolution,[status(thm)],[16475, 1288, 16353])).
% 25.04/16.75 tff(16477,plain,
% 25.04/16.75 (~v129(constB96, bitIndex1)),
% 25.04/16.75 inference(unit_resolution,[status(thm)],[16476, 16472])).
% 25.04/16.75 tff(16478,plain,
% 25.04/16.75 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB96, bitIndex1)) | v129(constB96, bitIndex1) | (~v100(constB96)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB96, bitIndex1)) | v129(constB96, bitIndex1) | (~v100(constB96)))),
% 25.04/16.75 inference(rewrite,[status(thm)],[])).
% 25.04/16.75 tff(16479,plain,
% 25.04/16.75 (((~v90(constB96, bitIndex1)) | (~v100(constB96)) | v129(constB96, bitIndex1)) <=> ((~v90(constB96, bitIndex1)) | v129(constB96, bitIndex1) | (~v100(constB96)))),
% 25.04/16.75 inference(rewrite,[status(thm)],[])).
% 25.04/16.75 tff(16480,plain,
% 25.04/16.75 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB96, bitIndex1)) | (~v100(constB96)) | v129(constB96, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB96, bitIndex1)) | v129(constB96, bitIndex1) | (~v100(constB96))))),
% 25.04/16.75 inference(monotonicity,[status(thm)],[16479])).
% 25.04/16.75 tff(16481,plain,
% 25.04/16.75 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB96, bitIndex1)) | (~v100(constB96)) | v129(constB96, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB96, bitIndex1)) | v129(constB96, bitIndex1) | (~v100(constB96)))),
% 25.04/16.76 inference(transitivity,[status(thm)],[16480, 16478])).
% 25.04/16.76 tff(16482,plain,
% 25.04/16.76 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB96, bitIndex1)) | (~v100(constB96)) | v129(constB96, bitIndex1))),
% 25.04/16.76 inference(quant_inst,[status(thm)],[])).
% 25.04/16.76 tff(16483,plain,
% 25.04/16.76 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB96, bitIndex1)) | v129(constB96, bitIndex1) | (~v100(constB96))),
% 25.04/16.76 inference(modus_ponens,[status(thm)],[16482, 16481])).
% 25.04/16.76 tff(16484,plain,
% 25.04/16.76 ((~v90(constB96, bitIndex1)) | (~v100(constB96))),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16483, 1303, 16477])).
% 25.04/16.76 tff(16485,plain,
% 25.04/16.76 (~v90(constB96, bitIndex1)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16484, 16387])).
% 25.04/16.76 tff(16486,plain,
% 25.04/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex1)))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16487,plain,
% 25.04/16.76 (((~nextState(constB96, constB97)) | v90(constB96, bitIndex1) | v100(constB97) | (~v90(constB97, bitIndex1))) <=> (v90(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex1)))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16488,plain,
% 25.04/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex1) | v100(constB97) | (~v90(constB97, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex1))))),
% 25.04/16.76 inference(monotonicity,[status(thm)],[16487])).
% 25.04/16.76 tff(16489,plain,
% 25.04/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex1) | v100(constB97) | (~v90(constB97, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex1)))),
% 25.04/16.76 inference(transitivity,[status(thm)],[16488, 16486])).
% 25.04/16.76 tff(16490,plain,
% 25.04/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex1) | v100(constB97) | (~v90(constB97, bitIndex1)))),
% 25.04/16.76 inference(quant_inst,[status(thm)],[])).
% 25.04/16.76 tff(16491,plain,
% 25.04/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex1))),
% 25.04/16.76 inference(modus_ponens,[status(thm)],[16490, 16489])).
% 25.04/16.76 tff(16492,plain,
% 25.04/16.76 (v90(constB96, bitIndex1) | v100(constB97) | (~v90(constB97, bitIndex1))),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16491, 913, 16439])).
% 25.04/16.76 tff(16493,plain,
% 25.04/16.76 (v90(constB96, bitIndex1) | (~v90(constB97, bitIndex1))),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16492, 16451])).
% 25.04/16.76 tff(16494,plain,
% 25.04/16.76 (~v90(constB97, bitIndex1)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16493, 16485])).
% 25.04/16.76 tff(16495,plain,
% 25.04/16.76 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | v130(constB95, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | v130(constB95, bitIndex0))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16496,plain,
% 25.04/16.76 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | v130(constB95, bitIndex0))),
% 25.04/16.76 inference(quant_inst,[status(thm)],[])).
% 25.04/16.76 tff(16497,plain,
% 25.04/16.76 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | v130(constB95, bitIndex0)),
% 25.04/16.76 inference(modus_ponens,[status(thm)],[16496, 16495])).
% 25.04/16.76 tff(16498,plain,
% 25.04/16.76 (v130(constB95, bitIndex0)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16497, 1931, 16411, 16407, 16403, 16399, 16395, 16391])).
% 25.04/16.76 tff(16499,plain,
% 25.04/16.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB95) | (~v130(constB95, bitIndex0)) | v127(constB95, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB95) | (~v130(constB95, bitIndex0)) | v127(constB95, bitIndex0))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16500,plain,
% 25.04/16.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB95) | (~v130(constB95, bitIndex0)) | v127(constB95, bitIndex0))),
% 25.04/16.76 inference(quant_inst,[status(thm)],[])).
% 25.04/16.76 tff(16501,plain,
% 25.04/16.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB95) | (~v130(constB95, bitIndex0)) | v127(constB95, bitIndex0)),
% 25.04/16.76 inference(modus_ponens,[status(thm)],[16500, 16499])).
% 25.04/16.76 tff(16502,plain,
% 25.04/16.76 ((~v130(constB95, bitIndex0)) | v127(constB95, bitIndex0)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16501, 1945, 16338])).
% 25.04/16.76 tff(16503,plain,
% 25.04/16.76 (v127(constB95, bitIndex0)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16502, 16498])).
% 25.04/16.76 tff(16504,plain,
% 25.04/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex0)) | v129(constB96, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex0)) | v129(constB96, bitIndex0))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16505,plain,
% 25.04/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex0)) | v129(constB96, bitIndex0))),
% 25.04/16.76 inference(quant_inst,[status(thm)],[])).
% 25.04/16.76 tff(16506,plain,
% 25.04/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex0)) | v129(constB96, bitIndex0)),
% 25.04/16.76 inference(modus_ponens,[status(thm)],[16505, 16504])).
% 25.04/16.76 tff(16507,plain,
% 25.04/16.76 ((~v127(constB95, bitIndex0)) | v129(constB96, bitIndex0)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16506, 1960, 16353])).
% 25.04/16.76 tff(16508,plain,
% 25.04/16.76 (v129(constB96, bitIndex0)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16507, 16503])).
% 25.04/16.76 tff(16509,plain,
% 25.04/16.76 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB96, bitIndex0) | (~v129(constB96, bitIndex0)) | (~v100(constB96)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB96, bitIndex0) | (~v129(constB96, bitIndex0)) | (~v100(constB96)))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16510,plain,
% 25.04/16.76 ((v90(constB96, bitIndex0) | (~v100(constB96)) | (~v129(constB96, bitIndex0))) <=> (v90(constB96, bitIndex0) | (~v129(constB96, bitIndex0)) | (~v100(constB96)))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16511,plain,
% 25.04/16.76 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB96, bitIndex0) | (~v100(constB96)) | (~v129(constB96, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB96, bitIndex0) | (~v129(constB96, bitIndex0)) | (~v100(constB96))))),
% 25.04/16.76 inference(monotonicity,[status(thm)],[16510])).
% 25.04/16.76 tff(16512,plain,
% 25.04/16.76 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB96, bitIndex0) | (~v100(constB96)) | (~v129(constB96, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB96, bitIndex0) | (~v129(constB96, bitIndex0)) | (~v100(constB96)))),
% 25.04/16.76 inference(transitivity,[status(thm)],[16511, 16509])).
% 25.04/16.76 tff(16513,plain,
% 25.04/16.76 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB96, bitIndex0) | (~v100(constB96)) | (~v129(constB96, bitIndex0)))),
% 25.04/16.76 inference(quant_inst,[status(thm)],[])).
% 25.04/16.76 tff(16514,plain,
% 25.04/16.76 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB96, bitIndex0) | (~v129(constB96, bitIndex0)) | (~v100(constB96))),
% 25.04/16.76 inference(modus_ponens,[status(thm)],[16513, 16512])).
% 25.04/16.76 tff(16515,plain,
% 25.04/16.76 (v90(constB96, bitIndex0) | (~v100(constB96))),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16514, 1975, 16508])).
% 25.04/16.76 tff(16516,plain,
% 25.04/16.76 (v90(constB96, bitIndex0)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16515, 16387])).
% 25.04/16.76 tff(16517,plain,
% 25.04/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex0))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16518,plain,
% 25.04/16.76 (((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex0)) | v100(constB97) | v90(constB97, bitIndex0)) <=> ((~v90(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex0))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16519,plain,
% 25.04/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex0)) | v100(constB97) | v90(constB97, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex0)))),
% 25.04/16.76 inference(monotonicity,[status(thm)],[16518])).
% 25.04/16.76 tff(16520,plain,
% 25.04/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex0)) | v100(constB97) | v90(constB97, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex0))),
% 25.04/16.76 inference(transitivity,[status(thm)],[16519, 16517])).
% 25.04/16.76 tff(16521,plain,
% 25.04/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex0)) | v100(constB97) | v90(constB97, bitIndex0))),
% 25.04/16.76 inference(quant_inst,[status(thm)],[])).
% 25.04/16.76 tff(16522,plain,
% 25.04/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex0)),
% 25.04/16.76 inference(modus_ponens,[status(thm)],[16521, 16520])).
% 25.04/16.76 tff(16523,plain,
% 25.04/16.76 ((~v90(constB96, bitIndex0)) | v100(constB97) | v90(constB97, bitIndex0)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16522, 1993, 16439])).
% 25.04/16.76 tff(16524,plain,
% 25.04/16.76 ((~v90(constB96, bitIndex0)) | v90(constB97, bitIndex0)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16523, 16451])).
% 25.04/16.76 tff(16525,plain,
% 25.04/16.76 (v90(constB97, bitIndex0)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16524, 16516])).
% 25.04/16.76 tff(16526,plain,
% 25.04/16.76 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB97, bitIndex0)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | v120(constB97))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB97, bitIndex0)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | v120(constB97))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16527,plain,
% 25.04/16.76 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB97, bitIndex0)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | v120(constB97))),
% 25.04/16.76 inference(quant_inst,[status(thm)],[])).
% 25.04/16.76 tff(16528,plain,
% 25.04/16.76 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB97, bitIndex0)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | v120(constB97)),
% 25.04/16.76 inference(modus_ponens,[status(thm)],[16527, 16526])).
% 25.04/16.76 tff(16529,plain,
% 25.04/16.76 (v120(constB97)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16528, 2012, 16525, 16494, 16460])).
% 25.04/16.76 tff(16530,plain,
% 25.04/16.76 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB97)) | v118(constB97))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB97)) | v118(constB97))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16531,plain,
% 25.04/16.76 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB97)) | v118(constB97))),
% 25.04/16.76 inference(quant_inst,[status(thm)],[])).
% 25.04/16.76 tff(16532,plain,
% 25.04/16.76 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB97)) | v118(constB97)),
% 25.04/16.76 inference(modus_ponens,[status(thm)],[16531, 16530])).
% 25.04/16.76 tff(16533,plain,
% 25.04/16.76 (v118(constB97)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16532, 2210, 16529])).
% 25.04/16.76 tff(16534,plain,
% 25.04/16.76 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB97)) | v117(constB97))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB97)) | v117(constB97))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16535,plain,
% 25.04/16.76 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB97)) | v117(constB97))),
% 25.04/16.76 inference(quant_inst,[status(thm)],[])).
% 25.04/16.76 tff(16536,plain,
% 25.04/16.76 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB97)) | v117(constB97)),
% 25.04/16.76 inference(modus_ponens,[status(thm)],[16535, 16534])).
% 25.04/16.76 tff(16537,plain,
% 25.04/16.76 (v117(constB97)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16536, 980, 16533])).
% 25.04/16.76 tff(16538,plain,
% 25.04/16.76 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB97) | (~v117(constB97)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB97) | (~v117(constB97)))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16539,plain,
% 25.04/16.76 (((~v117(constB97)) | v116(constB97)) <=> (v116(constB97) | (~v117(constB97)))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16540,plain,
% 25.04/16.76 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB97)) | v116(constB97))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB97) | (~v117(constB97))))),
% 25.04/16.76 inference(monotonicity,[status(thm)],[16539])).
% 25.04/16.76 tff(16541,plain,
% 25.04/16.76 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB97)) | v116(constB97))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB97) | (~v117(constB97)))),
% 25.04/16.76 inference(transitivity,[status(thm)],[16540, 16538])).
% 25.04/16.76 tff(16542,plain,
% 25.04/16.76 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB97)) | v116(constB97))),
% 25.04/16.76 inference(quant_inst,[status(thm)],[])).
% 25.04/16.76 tff(16543,plain,
% 25.04/16.76 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB97) | (~v117(constB97))),
% 25.04/16.76 inference(modus_ponens,[status(thm)],[16542, 16541])).
% 25.04/16.76 tff(16544,plain,
% 25.04/16.76 (v116(constB97)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16543, 994, 16537])).
% 25.04/16.76 tff(16545,plain,
% 25.04/16.76 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB97) | (~v116(constB97)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB97) | (~v116(constB97)))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16546,plain,
% 25.04/16.76 (((~v116(constB97)) | v115(constB97)) <=> (v115(constB97) | (~v116(constB97)))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16547,plain,
% 25.04/16.76 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB97)) | v115(constB97))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB97) | (~v116(constB97))))),
% 25.04/16.76 inference(monotonicity,[status(thm)],[16546])).
% 25.04/16.76 tff(16548,plain,
% 25.04/16.76 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB97)) | v115(constB97))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB97) | (~v116(constB97)))),
% 25.04/16.76 inference(transitivity,[status(thm)],[16547, 16545])).
% 25.04/16.76 tff(16549,plain,
% 25.04/16.76 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB97)) | v115(constB97))),
% 25.04/16.76 inference(quant_inst,[status(thm)],[])).
% 25.04/16.76 tff(16550,plain,
% 25.04/16.76 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB97) | (~v116(constB97))),
% 25.04/16.76 inference(modus_ponens,[status(thm)],[16549, 16548])).
% 25.04/16.76 tff(16551,plain,
% 25.04/16.76 (v115(constB97)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16550, 1008, 16544])).
% 25.04/16.76 tff(16552,plain,
% 25.04/16.76 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB97) | (~v115(constB97)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB97) | (~v115(constB97)))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16553,plain,
% 25.04/16.76 (((~v115(constB97)) | v114(constB97)) <=> (v114(constB97) | (~v115(constB97)))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16554,plain,
% 25.04/16.76 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB97)) | v114(constB97))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB97) | (~v115(constB97))))),
% 25.04/16.76 inference(monotonicity,[status(thm)],[16553])).
% 25.04/16.76 tff(16555,plain,
% 25.04/16.76 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB97)) | v114(constB97))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB97) | (~v115(constB97)))),
% 25.04/16.76 inference(transitivity,[status(thm)],[16554, 16552])).
% 25.04/16.76 tff(16556,plain,
% 25.04/16.76 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB97)) | v114(constB97))),
% 25.04/16.76 inference(quant_inst,[status(thm)],[])).
% 25.04/16.76 tff(16557,plain,
% 25.04/16.76 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB97) | (~v115(constB97))),
% 25.04/16.76 inference(modus_ponens,[status(thm)],[16556, 16555])).
% 25.04/16.76 tff(16558,plain,
% 25.04/16.76 (v114(constB97)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16557, 1022, 16551])).
% 25.04/16.76 tff(16559,plain,
% 25.04/16.76 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB97) | (~v114(constB97)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB97) | (~v114(constB97)))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16560,plain,
% 25.04/16.76 (((~v114(constB97)) | v113(constB97)) <=> (v113(constB97) | (~v114(constB97)))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16561,plain,
% 25.04/16.76 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB97)) | v113(constB97))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB97) | (~v114(constB97))))),
% 25.04/16.76 inference(monotonicity,[status(thm)],[16560])).
% 25.04/16.76 tff(16562,plain,
% 25.04/16.76 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB97)) | v113(constB97))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB97) | (~v114(constB97)))),
% 25.04/16.76 inference(transitivity,[status(thm)],[16561, 16559])).
% 25.04/16.76 tff(16563,plain,
% 25.04/16.76 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB97)) | v113(constB97))),
% 25.04/16.76 inference(quant_inst,[status(thm)],[])).
% 25.04/16.76 tff(16564,plain,
% 25.04/16.76 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB97) | (~v114(constB97))),
% 25.04/16.76 inference(modus_ponens,[status(thm)],[16563, 16562])).
% 25.04/16.76 tff(16565,plain,
% 25.04/16.76 (v113(constB97)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16564, 1036, 16558])).
% 25.04/16.76 tff(16566,assumption,(v26(constB97)), introduced(assumption)).
% 25.04/16.76 tff(16567,plain,
% 25.04/16.76 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB97))),
% 25.04/16.76 inference(quant_inst,[status(thm)],[])).
% 25.04/16.76 tff(16568,plain,
% 25.04/16.76 ($false),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16567, 797, 16566])).
% 25.04/16.76 tff(16569,plain,(~v26(constB97)), inference(lemma,lemma(discharge,[]))).
% 25.04/16.76 tff(16570,plain,
% 25.04/16.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | (~v113(constB97)) | v112(constB97))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16571,plain,
% 25.04/16.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))),
% 25.04/16.76 inference(quant_inst,[status(thm)],[])).
% 25.04/16.76 tff(16572,plain,
% 25.04/16.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | (~v113(constB97)) | v112(constB97)),
% 25.04/16.76 inference(modus_ponens,[status(thm)],[16571, 16570])).
% 25.04/16.76 tff(16573,plain,
% 25.04/16.76 ((~v113(constB97)) | v112(constB97)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16572, 1050, 16569])).
% 25.04/16.76 tff(16574,plain,
% 25.04/16.76 (v112(constB97)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16573, 16565])).
% 25.04/16.76 tff(16575,plain,
% 25.04/16.76 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB97) | (~v112(constB97)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB97) | (~v112(constB97)))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16576,plain,
% 25.04/16.76 (((~v112(constB97)) | v108(constB97)) <=> (v108(constB97) | (~v112(constB97)))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16577,plain,
% 25.04/16.76 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB97)) | v108(constB97))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB97) | (~v112(constB97))))),
% 25.04/16.76 inference(monotonicity,[status(thm)],[16576])).
% 25.04/16.76 tff(16578,plain,
% 25.04/16.76 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB97)) | v108(constB97))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB97) | (~v112(constB97)))),
% 25.04/16.76 inference(transitivity,[status(thm)],[16577, 16575])).
% 25.04/16.76 tff(16579,plain,
% 25.04/16.76 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB97)) | v108(constB97))),
% 25.04/16.76 inference(quant_inst,[status(thm)],[])).
% 25.04/16.76 tff(16580,plain,
% 25.04/16.76 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB97) | (~v112(constB97))),
% 25.04/16.76 inference(modus_ponens,[status(thm)],[16579, 16578])).
% 25.04/16.76 tff(16581,plain,
% 25.04/16.76 (v108(constB97)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16580, 1062, 16574])).
% 25.04/16.76 tff(16582,plain,
% 25.04/16.76 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16583,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_97_1')).
% 25.04/16.76 tff(16584,plain,
% 25.04/16.76 (nextState(constB97, constB98)),
% 25.04/16.76 inference(modus_ponens,[status(thm)],[16583, 16582])).
% 25.04/16.76 tff(16585,plain,
% 25.04/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16586,plain,
% 25.04/16.76 (((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98)) <=> ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16587,plain,
% 25.04/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97))))),
% 25.04/16.76 inference(monotonicity,[status(thm)],[16586])).
% 25.04/16.76 tff(16588,plain,
% 25.04/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 25.04/16.76 inference(transitivity,[status(thm)],[16587, 16585])).
% 25.04/16.76 tff(16589,plain,
% 25.04/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))),
% 25.04/16.76 inference(quant_inst,[status(thm)],[])).
% 25.04/16.76 tff(16590,plain,
% 25.04/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97))),
% 25.04/16.76 inference(modus_ponens,[status(thm)],[16589, 16588])).
% 25.04/16.76 tff(16591,plain,
% 25.04/16.76 (v110(constB98) | (~v108(constB97))),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16590, 1082, 16584])).
% 25.04/16.76 tff(16592,plain,
% 25.04/16.76 (v110(constB98)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16591, 16581])).
% 25.04/16.76 tff(16593,plain,
% 25.04/16.76 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16594,plain,
% 25.04/16.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))),
% 25.04/16.76 inference(quant_inst,[status(thm)],[])).
% 25.04/16.76 tff(16595,plain,
% 25.04/16.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98))),
% 25.04/16.76 inference(modus_ponens,[status(thm)],[16594, 16593])).
% 25.04/16.76 tff(16596,plain,
% 25.04/16.76 (~v104(constB98)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16595, 1100, 16584, 16436])).
% 25.04/16.76 tff(16597,plain,
% 25.04/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16598,plain,
% 25.04/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))),
% 25.04/16.76 inference(quant_inst,[status(thm)],[])).
% 25.04/16.76 tff(16599,plain,
% 25.04/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v102(constB98) | v104(constB98)),
% 25.04/16.76 inference(modus_ponens,[status(thm)],[16598, 16597])).
% 25.04/16.76 tff(16600,plain,
% 25.04/16.76 (v102(constB98) | v104(constB98)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16599, 1114, 16584])).
% 25.04/16.76 tff(16601,plain,
% 25.04/16.76 (v102(constB98)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16600, 16596])).
% 25.04/16.76 tff(16602,plain,
% 25.04/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16603,plain,
% 25.04/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))),
% 25.04/16.76 inference(quant_inst,[status(thm)],[])).
% 25.04/16.76 tff(16604,plain,
% 25.04/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98))),
% 25.04/16.76 inference(modus_ponens,[status(thm)],[16603, 16602])).
% 25.04/16.76 tff(16605,plain,
% 25.04/16.76 (v101(constB98) | (~v102(constB98))),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16604, 1129, 16584, 196])).
% 25.04/16.76 tff(16606,plain,
% 25.04/16.76 (v101(constB98)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16605, 16601])).
% 25.04/16.76 tff(16607,plain,
% 25.04/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16608,plain,
% 25.04/16.76 (((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98)) <=> ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16609,plain,
% 25.04/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98))))),
% 25.04/16.76 inference(monotonicity,[status(thm)],[16608])).
% 25.04/16.76 tff(16610,plain,
% 25.04/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 25.04/16.76 inference(transitivity,[status(thm)],[16609, 16607])).
% 25.04/16.76 tff(16611,plain,
% 25.04/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))),
% 25.04/16.76 inference(quant_inst,[status(thm)],[])).
% 25.04/16.76 tff(16612,plain,
% 25.04/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 25.04/16.76 inference(modus_ponens,[status(thm)],[16611, 16610])).
% 25.04/16.76 tff(16613,plain,
% 25.04/16.76 (v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16612, 1144, 16584])).
% 25.04/16.76 tff(16614,plain,
% 25.04/16.76 (v100(constB98) | (~v110(constB98))),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16613, 16606])).
% 25.04/16.76 tff(16615,plain,
% 25.04/16.76 (v100(constB98)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16614, 16592])).
% 25.04/16.76 tff(16616,plain,
% 25.04/16.76 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB97)) | (~v130(constB97, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB97)) | (~v130(constB97, bitIndex2)))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16617,plain,
% 25.04/16.76 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB97)) | (~v130(constB97, bitIndex2)))),
% 25.04/16.76 inference(quant_inst,[status(thm)],[])).
% 25.04/16.76 tff(16618,plain,
% 25.04/16.76 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB97)) | (~v130(constB97, bitIndex2))),
% 25.04/16.76 inference(modus_ponens,[status(thm)],[16617, 16616])).
% 25.04/16.76 tff(16619,plain,
% 25.04/16.76 (~v130(constB97, bitIndex2)),
% 25.04/16.76 inference(unit_resolution,[status(thm)],[16618, 2231, 16529])).
% 25.04/16.76 tff(16620,plain,
% 25.04/16.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16621,plain,
% 25.04/16.76 ((v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2))) <=> ((~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))),
% 25.04/16.76 inference(rewrite,[status(thm)],[])).
% 25.04/16.76 tff(16622,plain,
% 25.04/16.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2)))),
% 25.04/16.76 inference(monotonicity,[status(thm)],[16621])).
% 25.04/16.76 tff(16623,plain,
% 25.04/16.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))),
% 25.04/16.76 inference(transitivity,[status(thm)],[16622, 16620])).
% 25.04/16.77 tff(16624,plain,
% 25.04/16.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2)))),
% 25.04/16.77 inference(quant_inst,[status(thm)],[])).
% 25.04/16.77 tff(16625,plain,
% 25.04/16.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2)),
% 25.04/16.77 inference(modus_ponens,[status(thm)],[16624, 16623])).
% 25.04/16.77 tff(16626,plain,
% 25.04/16.77 ((~v127(constB97, bitIndex2)) | v130(constB97, bitIndex2)),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16625, 1812, 16569])).
% 25.04/16.77 tff(16627,plain,
% 25.04/16.77 (~v127(constB97, bitIndex2)),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16626, 16619])).
% 25.04/16.77 tff(16628,plain,
% 25.04/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2)))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16629,plain,
% 25.04/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2)))),
% 25.04/16.77 inference(quant_inst,[status(thm)],[])).
% 25.04/16.77 tff(16630,plain,
% 25.04/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2))),
% 25.04/16.77 inference(modus_ponens,[status(thm)],[16629, 16628])).
% 25.04/16.77 tff(16631,plain,
% 25.04/16.77 (v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2))),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16630, 1830, 16584])).
% 25.04/16.77 tff(16632,plain,
% 25.04/16.77 (~v129(constB98, bitIndex2)),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16631, 16627])).
% 25.04/16.77 tff(16633,plain,
% 25.04/16.77 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16634,plain,
% 25.04/16.77 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))),
% 25.04/16.77 inference(quant_inst,[status(thm)],[])).
% 25.04/16.77 tff(16635,plain,
% 25.04/16.77 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98))),
% 25.04/16.77 inference(modus_ponens,[status(thm)],[16634, 16633])).
% 25.04/16.77 tff(16636,plain,
% 25.04/16.77 ((~v90(constB98, bitIndex2)) | (~v100(constB98))),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16635, 1845, 16632])).
% 25.04/16.77 tff(16637,plain,
% 25.04/16.77 (~v90(constB98, bitIndex2)),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16636, 16615])).
% 25.04/16.77 tff(16638,plain,
% 25.04/16.77 ((~v1(constB99)) <=> (~v1(constB99))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16639,axiom,(~v1(constB99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_99_1_1')).
% 25.04/16.77 tff(16640,plain,
% 25.04/16.77 (~v1(constB99)),
% 25.04/16.77 inference(modus_ponens,[status(thm)],[16639, 16638])).
% 25.04/16.77 tff(16641,plain,
% 25.04/16.77 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16642,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_98_1')).
% 25.04/16.77 tff(16643,plain,
% 25.04/16.77 (nextState(constB98, constB99)),
% 25.04/16.77 inference(modus_ponens,[status(thm)],[16642, 16641])).
% 25.04/16.77 tff(16644,plain,
% 25.04/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16645,plain,
% 25.04/16.77 (((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99)) <=> (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16646,plain,
% 25.04/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99))))),
% 25.04/16.77 inference(monotonicity,[status(thm)],[16645])).
% 25.04/16.77 tff(16647,plain,
% 25.04/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 25.04/16.77 inference(transitivity,[status(thm)],[16646, 16644])).
% 25.04/16.77 tff(16648,plain,
% 25.04/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))),
% 25.04/16.77 inference(quant_inst,[status(thm)],[])).
% 25.04/16.77 tff(16649,plain,
% 25.04/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99))),
% 25.04/16.77 inference(modus_ponens,[status(thm)],[16648, 16647])).
% 25.04/16.77 tff(16650,plain,
% 25.04/16.77 (~v101(constB99)),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16649, 860, 16643, 16640])).
% 25.04/16.77 tff(16651,plain,
% 25.04/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16652,plain,
% 25.04/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))),
% 25.04/16.77 inference(quant_inst,[status(thm)],[])).
% 25.04/16.77 tff(16653,plain,
% 25.04/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99))),
% 25.04/16.77 inference(modus_ponens,[status(thm)],[16652, 16651])).
% 25.04/16.77 tff(16654,plain,
% 25.04/16.77 (v101(constB99) | (~v100(constB99))),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16653, 877, 16643])).
% 25.04/16.77 tff(16655,plain,
% 25.04/16.77 (~v100(constB99)),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16654, 16650])).
% 25.04/16.77 tff(16656,plain,
% 25.04/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16657,plain,
% 25.04/16.77 (((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2))) <=> (v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16658,plain,
% 25.04/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2))))),
% 25.04/16.77 inference(monotonicity,[status(thm)],[16657])).
% 25.04/16.77 tff(16659,plain,
% 25.04/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 25.04/16.77 inference(transitivity,[status(thm)],[16658, 16656])).
% 25.04/16.77 tff(16660,plain,
% 25.04/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 25.04/16.77 inference(quant_inst,[status(thm)],[])).
% 25.04/16.77 tff(16661,plain,
% 25.04/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2))),
% 25.04/16.77 inference(modus_ponens,[status(thm)],[16660, 16659])).
% 25.04/16.77 tff(16662,plain,
% 25.04/16.77 (v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2))),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16661, 892, 16643])).
% 25.04/16.77 tff(16663,plain,
% 25.04/16.77 (v90(constB98, bitIndex2) | (~v90(constB99, bitIndex2))),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16662, 16655])).
% 25.04/16.77 tff(16664,plain,
% 25.04/16.77 (~v90(constB99, bitIndex2)),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16663, 16637])).
% 25.04/16.77 tff(16665,plain,
% 25.04/16.77 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB97)) | v130(constB97, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB97)) | v130(constB97, bitIndex1))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16666,plain,
% 25.04/16.77 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB97)) | v130(constB97, bitIndex1))),
% 25.04/16.77 inference(quant_inst,[status(thm)],[])).
% 25.04/16.77 tff(16667,plain,
% 25.04/16.77 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB97)) | v130(constB97, bitIndex1)),
% 25.04/16.77 inference(modus_ponens,[status(thm)],[16666, 16665])).
% 25.04/16.77 tff(16668,plain,
% 25.04/16.77 (v130(constB97, bitIndex1)),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16667, 2034, 16529])).
% 25.04/16.77 tff(16669,plain,
% 25.04/16.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB97) | (~v130(constB97, bitIndex1)) | v127(constB97, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB97) | (~v130(constB97, bitIndex1)) | v127(constB97, bitIndex1))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16670,plain,
% 25.04/16.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB97) | (~v130(constB97, bitIndex1)) | v127(constB97, bitIndex1))),
% 25.04/16.77 inference(quant_inst,[status(thm)],[])).
% 25.04/16.77 tff(16671,plain,
% 25.04/16.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB97) | (~v130(constB97, bitIndex1)) | v127(constB97, bitIndex1)),
% 25.04/16.77 inference(modus_ponens,[status(thm)],[16670, 16669])).
% 25.04/16.77 tff(16672,plain,
% 25.04/16.77 ((~v130(constB97, bitIndex1)) | v127(constB97, bitIndex1)),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16671, 1553, 16569])).
% 25.04/16.77 tff(16673,plain,
% 25.04/16.77 (v127(constB97, bitIndex1)),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16672, 16668])).
% 25.04/16.77 tff(16674,plain,
% 25.04/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB97, constB98)) | (~v127(constB97, bitIndex1)) | v129(constB98, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB97, constB98)) | (~v127(constB97, bitIndex1)) | v129(constB98, bitIndex1))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16675,plain,
% 25.04/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB97, constB98)) | (~v127(constB97, bitIndex1)) | v129(constB98, bitIndex1))),
% 25.04/16.77 inference(quant_inst,[status(thm)],[])).
% 25.04/16.77 tff(16676,plain,
% 25.04/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB97, constB98)) | (~v127(constB97, bitIndex1)) | v129(constB98, bitIndex1)),
% 25.04/16.77 inference(modus_ponens,[status(thm)],[16675, 16674])).
% 25.04/16.77 tff(16677,plain,
% 25.04/16.77 ((~v127(constB97, bitIndex1)) | v129(constB98, bitIndex1)),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16676, 1568, 16584])).
% 25.04/16.77 tff(16678,plain,
% 25.04/16.77 (v129(constB98, bitIndex1)),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16677, 16673])).
% 25.04/16.77 tff(16679,plain,
% 25.04/16.77 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~v129(constB98, bitIndex1)) | (~v100(constB98)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB98, bitIndex1) | (~v129(constB98, bitIndex1)) | (~v100(constB98)))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16680,plain,
% 25.04/16.77 ((v90(constB98, bitIndex1) | (~v100(constB98)) | (~v129(constB98, bitIndex1))) <=> (v90(constB98, bitIndex1) | (~v129(constB98, bitIndex1)) | (~v100(constB98)))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16681,plain,
% 25.04/16.77 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~v100(constB98)) | (~v129(constB98, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~v129(constB98, bitIndex1)) | (~v100(constB98))))),
% 25.04/16.77 inference(monotonicity,[status(thm)],[16680])).
% 25.04/16.77 tff(16682,plain,
% 25.04/16.77 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~v100(constB98)) | (~v129(constB98, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB98, bitIndex1) | (~v129(constB98, bitIndex1)) | (~v100(constB98)))),
% 25.04/16.77 inference(transitivity,[status(thm)],[16681, 16679])).
% 25.04/16.77 tff(16683,plain,
% 25.04/16.77 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~v100(constB98)) | (~v129(constB98, bitIndex1)))),
% 25.04/16.77 inference(quant_inst,[status(thm)],[])).
% 25.04/16.77 tff(16684,plain,
% 25.04/16.77 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB98, bitIndex1) | (~v129(constB98, bitIndex1)) | (~v100(constB98))),
% 25.04/16.77 inference(modus_ponens,[status(thm)],[16683, 16682])).
% 25.04/16.77 tff(16685,plain,
% 25.04/16.77 (v90(constB98, bitIndex1) | (~v100(constB98))),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16684, 1583, 16678])).
% 25.04/16.77 tff(16686,plain,
% 25.04/16.77 (v90(constB98, bitIndex1)),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16685, 16615])).
% 25.04/16.77 tff(16687,plain,
% 25.04/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex1))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16688,plain,
% 25.04/16.77 (((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex1)) | v100(constB99) | v90(constB99, bitIndex1)) <=> ((~v90(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex1))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16689,plain,
% 25.04/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex1)) | v100(constB99) | v90(constB99, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex1)))),
% 25.04/16.77 inference(monotonicity,[status(thm)],[16688])).
% 25.04/16.77 tff(16690,plain,
% 25.04/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex1)) | v100(constB99) | v90(constB99, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex1))),
% 25.04/16.77 inference(transitivity,[status(thm)],[16689, 16687])).
% 25.04/16.77 tff(16691,plain,
% 25.04/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex1)) | v100(constB99) | v90(constB99, bitIndex1))),
% 25.04/16.77 inference(quant_inst,[status(thm)],[])).
% 25.04/16.77 tff(16692,plain,
% 25.04/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex1)),
% 25.04/16.77 inference(modus_ponens,[status(thm)],[16691, 16690])).
% 25.04/16.77 tff(16693,plain,
% 25.04/16.77 ((~v90(constB98, bitIndex1)) | v100(constB99) | v90(constB99, bitIndex1)),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16692, 1601, 16643])).
% 25.04/16.77 tff(16694,plain,
% 25.04/16.77 ((~v90(constB98, bitIndex1)) | v90(constB99, bitIndex1)),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16693, 16655])).
% 25.04/16.77 tff(16695,plain,
% 25.04/16.77 (v90(constB99, bitIndex1)),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16694, 16686])).
% 25.04/16.77 tff(16696,plain,
% 25.04/16.77 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB97)) | (~v130(constB97, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB97)) | (~v130(constB97, bitIndex0)))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16697,plain,
% 25.04/16.77 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB97)) | (~v130(constB97, bitIndex0)))),
% 25.04/16.77 inference(quant_inst,[status(thm)],[])).
% 25.04/16.77 tff(16698,plain,
% 25.04/16.77 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB97)) | (~v130(constB97, bitIndex0))),
% 25.04/16.77 inference(modus_ponens,[status(thm)],[16697, 16696])).
% 25.04/16.77 tff(16699,plain,
% 25.04/16.77 (~v130(constB97, bitIndex0)),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16698, 2023, 16529])).
% 25.04/16.77 tff(16700,plain,
% 25.04/16.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB97, bitIndex0)) | v26(constB97) | v130(constB97, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB97, bitIndex0)) | v26(constB97) | v130(constB97, bitIndex0))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16701,plain,
% 25.04/16.77 ((v26(constB97) | v130(constB97, bitIndex0) | (~v127(constB97, bitIndex0))) <=> ((~v127(constB97, bitIndex0)) | v26(constB97) | v130(constB97, bitIndex0))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16702,plain,
% 25.04/16.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB97) | v130(constB97, bitIndex0) | (~v127(constB97, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB97, bitIndex0)) | v26(constB97) | v130(constB97, bitIndex0)))),
% 25.04/16.77 inference(monotonicity,[status(thm)],[16701])).
% 25.04/16.77 tff(16703,plain,
% 25.04/16.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB97) | v130(constB97, bitIndex0) | (~v127(constB97, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB97, bitIndex0)) | v26(constB97) | v130(constB97, bitIndex0))),
% 25.04/16.77 inference(transitivity,[status(thm)],[16702, 16700])).
% 25.04/16.77 tff(16704,plain,
% 25.04/16.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB97) | v130(constB97, bitIndex0) | (~v127(constB97, bitIndex0)))),
% 25.04/16.77 inference(quant_inst,[status(thm)],[])).
% 25.04/16.77 tff(16705,plain,
% 25.04/16.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB97, bitIndex0)) | v26(constB97) | v130(constB97, bitIndex0)),
% 25.04/16.77 inference(modus_ponens,[status(thm)],[16704, 16703])).
% 25.04/16.77 tff(16706,plain,
% 25.04/16.77 ((~v127(constB97, bitIndex0)) | v130(constB97, bitIndex0)),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16705, 1341, 16569])).
% 25.04/16.77 tff(16707,plain,
% 25.04/16.77 (~v127(constB97, bitIndex0)),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16706, 16699])).
% 25.04/16.77 tff(16708,plain,
% 25.04/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex0) | (~v129(constB98, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex0) | (~v129(constB98, bitIndex0)))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16709,plain,
% 25.04/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex0) | (~v129(constB98, bitIndex0)))),
% 25.04/16.77 inference(quant_inst,[status(thm)],[])).
% 25.04/16.77 tff(16710,plain,
% 25.04/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex0) | (~v129(constB98, bitIndex0))),
% 25.04/16.77 inference(modus_ponens,[status(thm)],[16709, 16708])).
% 25.04/16.77 tff(16711,plain,
% 25.04/16.77 (v127(constB97, bitIndex0) | (~v129(constB98, bitIndex0))),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16710, 1359, 16584])).
% 25.04/16.77 tff(16712,plain,
% 25.04/16.77 (~v129(constB98, bitIndex0)),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16711, 16707])).
% 25.04/16.77 tff(16713,plain,
% 25.04/16.77 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | v129(constB98, bitIndex0) | (~v100(constB98)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB98, bitIndex0)) | v129(constB98, bitIndex0) | (~v100(constB98)))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16714,plain,
% 25.04/16.77 (((~v90(constB98, bitIndex0)) | (~v100(constB98)) | v129(constB98, bitIndex0)) <=> ((~v90(constB98, bitIndex0)) | v129(constB98, bitIndex0) | (~v100(constB98)))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16715,plain,
% 25.04/16.77 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | (~v100(constB98)) | v129(constB98, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | v129(constB98, bitIndex0) | (~v100(constB98))))),
% 25.04/16.77 inference(monotonicity,[status(thm)],[16714])).
% 25.04/16.77 tff(16716,plain,
% 25.04/16.77 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | (~v100(constB98)) | v129(constB98, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB98, bitIndex0)) | v129(constB98, bitIndex0) | (~v100(constB98)))),
% 25.04/16.77 inference(transitivity,[status(thm)],[16715, 16713])).
% 25.04/16.77 tff(16717,plain,
% 25.04/16.77 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | (~v100(constB98)) | v129(constB98, bitIndex0))),
% 25.04/16.77 inference(quant_inst,[status(thm)],[])).
% 25.04/16.77 tff(16718,plain,
% 25.04/16.77 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB98, bitIndex0)) | v129(constB98, bitIndex0) | (~v100(constB98))),
% 25.04/16.77 inference(modus_ponens,[status(thm)],[16717, 16716])).
% 25.04/16.77 tff(16719,plain,
% 25.04/16.77 ((~v90(constB98, bitIndex0)) | (~v100(constB98))),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16718, 1374, 16712])).
% 25.04/16.77 tff(16720,plain,
% 25.04/16.77 (~v90(constB98, bitIndex0)),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16719, 16615])).
% 25.04/16.77 tff(16721,plain,
% 25.04/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex0)))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16722,plain,
% 25.04/16.77 (((~nextState(constB98, constB99)) | v90(constB98, bitIndex0) | v100(constB99) | (~v90(constB99, bitIndex0))) <=> (v90(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex0)))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16723,plain,
% 25.04/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex0) | v100(constB99) | (~v90(constB99, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex0))))),
% 25.04/16.77 inference(monotonicity,[status(thm)],[16722])).
% 25.04/16.77 tff(16724,plain,
% 25.04/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex0) | v100(constB99) | (~v90(constB99, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex0)))),
% 25.04/16.77 inference(transitivity,[status(thm)],[16723, 16721])).
% 25.04/16.77 tff(16725,plain,
% 25.04/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex0) | v100(constB99) | (~v90(constB99, bitIndex0)))),
% 25.04/16.77 inference(quant_inst,[status(thm)],[])).
% 25.04/16.77 tff(16726,plain,
% 25.04/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex0))),
% 25.04/16.77 inference(modus_ponens,[status(thm)],[16725, 16724])).
% 25.04/16.77 tff(16727,plain,
% 25.04/16.77 (v90(constB98, bitIndex0) | v100(constB99) | (~v90(constB99, bitIndex0))),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16726, 934, 16643])).
% 25.04/16.77 tff(16728,plain,
% 25.04/16.77 (v90(constB98, bitIndex0) | (~v90(constB99, bitIndex0))),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16727, 16655])).
% 25.04/16.77 tff(16729,plain,
% 25.04/16.77 (~v90(constB99, bitIndex0)),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16728, 16720])).
% 25.04/16.77 tff(16730,plain,
% 25.04/16.77 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex2) | v121(constB99))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex2) | v121(constB99))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16731,plain,
% 25.04/16.77 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex2) | v121(constB99))),
% 25.04/16.77 inference(quant_inst,[status(thm)],[])).
% 25.04/16.77 tff(16732,plain,
% 25.04/16.77 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex2) | v121(constB99)),
% 25.04/16.77 inference(modus_ponens,[status(thm)],[16731, 16730])).
% 25.04/16.77 tff(16733,plain,
% 25.04/16.77 (v121(constB99)),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16732, 2145, 16729, 16695, 16664])).
% 25.04/16.77 tff(16734,plain,
% 25.04/16.77 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB99)) | v117(constB99))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB99)) | v117(constB99))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16735,plain,
% 25.04/16.77 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB99)) | v117(constB99))),
% 25.04/16.77 inference(quant_inst,[status(thm)],[])).
% 25.04/16.77 tff(16736,plain,
% 25.04/16.77 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB99)) | v117(constB99)),
% 25.04/16.77 inference(modus_ponens,[status(thm)],[16735, 16734])).
% 25.04/16.77 tff(16737,plain,
% 25.04/16.77 (v117(constB99)),
% 25.04/16.77 inference(unit_resolution,[status(thm)],[16736, 2102, 16733])).
% 25.04/16.77 tff(16738,plain,
% 25.04/16.77 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB99) | (~v117(constB99)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB99) | (~v117(constB99)))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16739,plain,
% 25.04/16.77 (((~v117(constB99)) | v116(constB99)) <=> (v116(constB99) | (~v117(constB99)))),
% 25.04/16.77 inference(rewrite,[status(thm)],[])).
% 25.04/16.77 tff(16740,plain,
% 25.04/16.77 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB99)) | v116(constB99))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB99) | (~v117(constB99))))),
% 25.04/16.77 inference(monotonicity,[status(thm)],[16739])).
% 25.04/16.77 tff(16741,plain,
% 25.04/16.77 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB99)) | v116(constB99))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB99) | (~v117(constB99)))),
% 25.04/16.78 inference(transitivity,[status(thm)],[16740, 16738])).
% 25.04/16.78 tff(16742,plain,
% 25.04/16.78 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB99)) | v116(constB99))),
% 25.04/16.78 inference(quant_inst,[status(thm)],[])).
% 25.04/16.78 tff(16743,plain,
% 25.04/16.78 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB99) | (~v117(constB99))),
% 25.04/16.78 inference(modus_ponens,[status(thm)],[16742, 16741])).
% 25.04/16.78 tff(16744,plain,
% 25.04/16.78 (v116(constB99)),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16743, 994, 16737])).
% 25.04/16.78 tff(16745,plain,
% 25.04/16.78 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB99) | (~v116(constB99)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB99) | (~v116(constB99)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16746,plain,
% 25.04/16.78 (((~v116(constB99)) | v115(constB99)) <=> (v115(constB99) | (~v116(constB99)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16747,plain,
% 25.04/16.78 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB99)) | v115(constB99))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB99) | (~v116(constB99))))),
% 25.04/16.78 inference(monotonicity,[status(thm)],[16746])).
% 25.04/16.78 tff(16748,plain,
% 25.04/16.78 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB99)) | v115(constB99))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB99) | (~v116(constB99)))),
% 25.04/16.78 inference(transitivity,[status(thm)],[16747, 16745])).
% 25.04/16.78 tff(16749,plain,
% 25.04/16.78 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB99)) | v115(constB99))),
% 25.04/16.78 inference(quant_inst,[status(thm)],[])).
% 25.04/16.78 tff(16750,plain,
% 25.04/16.78 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB99) | (~v116(constB99))),
% 25.04/16.78 inference(modus_ponens,[status(thm)],[16749, 16748])).
% 25.04/16.78 tff(16751,plain,
% 25.04/16.78 (v115(constB99)),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16750, 1008, 16744])).
% 25.04/16.78 tff(16752,plain,
% 25.04/16.78 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB99) | (~v115(constB99)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB99) | (~v115(constB99)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16753,plain,
% 25.04/16.78 (((~v115(constB99)) | v114(constB99)) <=> (v114(constB99) | (~v115(constB99)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16754,plain,
% 25.04/16.78 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB99)) | v114(constB99))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB99) | (~v115(constB99))))),
% 25.04/16.78 inference(monotonicity,[status(thm)],[16753])).
% 25.04/16.78 tff(16755,plain,
% 25.04/16.78 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB99)) | v114(constB99))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB99) | (~v115(constB99)))),
% 25.04/16.78 inference(transitivity,[status(thm)],[16754, 16752])).
% 25.04/16.78 tff(16756,plain,
% 25.04/16.78 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB99)) | v114(constB99))),
% 25.04/16.78 inference(quant_inst,[status(thm)],[])).
% 25.04/16.78 tff(16757,plain,
% 25.04/16.78 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB99) | (~v115(constB99))),
% 25.04/16.78 inference(modus_ponens,[status(thm)],[16756, 16755])).
% 25.04/16.78 tff(16758,plain,
% 25.04/16.78 (v114(constB99)),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16757, 1022, 16751])).
% 25.04/16.78 tff(16759,plain,
% 25.04/16.78 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB99) | (~v114(constB99)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB99) | (~v114(constB99)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16760,plain,
% 25.04/16.78 (((~v114(constB99)) | v113(constB99)) <=> (v113(constB99) | (~v114(constB99)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16761,plain,
% 25.04/16.78 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB99)) | v113(constB99))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB99) | (~v114(constB99))))),
% 25.04/16.78 inference(monotonicity,[status(thm)],[16760])).
% 25.04/16.78 tff(16762,plain,
% 25.04/16.78 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB99)) | v113(constB99))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB99) | (~v114(constB99)))),
% 25.04/16.78 inference(transitivity,[status(thm)],[16761, 16759])).
% 25.04/16.78 tff(16763,plain,
% 25.04/16.78 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB99)) | v113(constB99))),
% 25.04/16.78 inference(quant_inst,[status(thm)],[])).
% 25.04/16.78 tff(16764,plain,
% 25.04/16.78 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB99) | (~v114(constB99))),
% 25.04/16.78 inference(modus_ponens,[status(thm)],[16763, 16762])).
% 25.04/16.78 tff(16765,plain,
% 25.04/16.78 (v113(constB99)),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16764, 1036, 16758])).
% 25.04/16.78 tff(16766,assumption,(v26(constB99)), introduced(assumption)).
% 25.04/16.78 tff(16767,plain,
% 25.04/16.78 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB99))),
% 25.04/16.78 inference(quant_inst,[status(thm)],[])).
% 25.04/16.78 tff(16768,plain,
% 25.04/16.78 ($false),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16767, 797, 16766])).
% 25.04/16.78 tff(16769,plain,(~v26(constB99)), inference(lemma,lemma(discharge,[]))).
% 25.04/16.78 tff(16770,plain,
% 25.04/16.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | v112(constB99) | (~v113(constB99)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | v112(constB99) | (~v113(constB99)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16771,plain,
% 25.04/16.78 ((v26(constB99) | (~v113(constB99)) | v112(constB99)) <=> (v26(constB99) | v112(constB99) | (~v113(constB99)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16772,plain,
% 25.04/16.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | v112(constB99) | (~v113(constB99))))),
% 25.04/16.78 inference(monotonicity,[status(thm)],[16771])).
% 25.04/16.78 tff(16773,plain,
% 25.04/16.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | v112(constB99) | (~v113(constB99)))),
% 25.04/16.78 inference(transitivity,[status(thm)],[16772, 16770])).
% 25.04/16.78 tff(16774,plain,
% 25.04/16.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))),
% 25.04/16.78 inference(quant_inst,[status(thm)],[])).
% 25.04/16.78 tff(16775,plain,
% 25.04/16.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | v112(constB99) | (~v113(constB99))),
% 25.04/16.78 inference(modus_ponens,[status(thm)],[16774, 16773])).
% 25.04/16.78 tff(16776,plain,
% 25.04/16.78 (v112(constB99) | (~v113(constB99))),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16775, 1050, 16769])).
% 25.04/16.78 tff(16777,plain,
% 25.04/16.78 (v112(constB99)),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16776, 16765])).
% 25.04/16.78 tff(16778,plain,
% 25.04/16.78 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB99) | (~v112(constB99)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v112(constB99)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16779,plain,
% 25.04/16.78 (((~v112(constB99)) | v108(constB99)) <=> (v108(constB99) | (~v112(constB99)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16780,plain,
% 25.04/16.78 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB99)) | v108(constB99))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB99) | (~v112(constB99))))),
% 25.04/16.78 inference(monotonicity,[status(thm)],[16779])).
% 25.04/16.78 tff(16781,plain,
% 25.04/16.78 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB99)) | v108(constB99))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v112(constB99)))),
% 25.04/16.78 inference(transitivity,[status(thm)],[16780, 16778])).
% 25.04/16.78 tff(16782,plain,
% 25.04/16.78 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB99)) | v108(constB99))),
% 25.04/16.78 inference(quant_inst,[status(thm)],[])).
% 25.04/16.78 tff(16783,plain,
% 25.04/16.78 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v112(constB99))),
% 25.04/16.78 inference(modus_ponens,[status(thm)],[16782, 16781])).
% 25.04/16.78 tff(16784,plain,
% 25.04/16.78 (v108(constB99)),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16783, 1062, 16777])).
% 25.04/16.78 tff(16785,plain,
% 25.04/16.78 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16786,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_99_1')).
% 25.04/16.78 tff(16787,plain,
% 25.04/16.78 (nextState(constB99, constB100)),
% 25.04/16.78 inference(modus_ponens,[status(thm)],[16786, 16785])).
% 25.04/16.78 tff(16788,plain,
% 25.04/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16789,plain,
% 25.04/16.78 (((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100)) <=> ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16790,plain,
% 25.04/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99))))),
% 25.04/16.78 inference(monotonicity,[status(thm)],[16789])).
% 25.04/16.78 tff(16791,plain,
% 25.04/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 25.04/16.78 inference(transitivity,[status(thm)],[16790, 16788])).
% 25.04/16.78 tff(16792,plain,
% 25.04/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))),
% 25.04/16.78 inference(quant_inst,[status(thm)],[])).
% 25.04/16.78 tff(16793,plain,
% 25.04/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99))),
% 25.04/16.78 inference(modus_ponens,[status(thm)],[16792, 16791])).
% 25.04/16.78 tff(16794,plain,
% 25.04/16.78 (v110(constB100) | (~v108(constB99))),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16793, 1082, 16787])).
% 25.04/16.78 tff(16795,plain,
% 25.04/16.78 (v110(constB100)),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16794, 16784])).
% 25.04/16.78 tff(16796,plain,
% 25.04/16.78 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16797,plain,
% 25.04/16.78 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))),
% 25.04/16.78 inference(quant_inst,[status(thm)],[])).
% 25.04/16.78 tff(16798,plain,
% 25.04/16.78 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100))),
% 25.04/16.78 inference(modus_ponens,[status(thm)],[16797, 16796])).
% 25.04/16.78 tff(16799,plain,
% 25.04/16.78 (~v104(constB100)),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16798, 1100, 16787, 16640])).
% 25.04/16.78 tff(16800,plain,
% 25.04/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16801,plain,
% 25.04/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))),
% 25.04/16.78 inference(quant_inst,[status(thm)],[])).
% 25.04/16.78 tff(16802,plain,
% 25.04/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v102(constB100) | v104(constB100)),
% 25.04/16.78 inference(modus_ponens,[status(thm)],[16801, 16800])).
% 25.04/16.78 tff(16803,plain,
% 25.04/16.78 (v102(constB100) | v104(constB100)),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16802, 1114, 16787])).
% 25.04/16.78 tff(16804,plain,
% 25.04/16.78 (v102(constB100)),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16803, 16799])).
% 25.04/16.78 tff(16805,plain,
% 25.04/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16806,plain,
% 25.04/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))),
% 25.04/16.78 inference(quant_inst,[status(thm)],[])).
% 25.04/16.78 tff(16807,plain,
% 25.04/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100))),
% 25.04/16.78 inference(modus_ponens,[status(thm)],[16806, 16805])).
% 25.04/16.78 tff(16808,plain,
% 25.04/16.78 (v101(constB100) | (~v102(constB100))),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16807, 1129, 16787, 427])).
% 25.04/16.78 tff(16809,plain,
% 25.04/16.78 (v101(constB100)),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16808, 16804])).
% 25.04/16.78 tff(16810,plain,
% 25.04/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16811,plain,
% 25.04/16.78 (((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100)) <=> ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16812,plain,
% 25.04/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100))))),
% 25.04/16.78 inference(monotonicity,[status(thm)],[16811])).
% 25.04/16.78 tff(16813,plain,
% 25.04/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 25.04/16.78 inference(transitivity,[status(thm)],[16812, 16810])).
% 25.04/16.78 tff(16814,plain,
% 25.04/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))),
% 25.04/16.78 inference(quant_inst,[status(thm)],[])).
% 25.04/16.78 tff(16815,plain,
% 25.04/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 25.04/16.78 inference(modus_ponens,[status(thm)],[16814, 16813])).
% 25.04/16.78 tff(16816,plain,
% 25.04/16.78 (v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16815, 1144, 16787])).
% 25.04/16.78 tff(16817,plain,
% 25.04/16.78 (v100(constB100) | (~v110(constB100))),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16816, 16809])).
% 25.04/16.78 tff(16818,plain,
% 25.04/16.78 (v100(constB100)),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16817, 16795])).
% 25.04/16.78 tff(16819,plain,
% 25.04/16.78 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB99)) | (~v130(constB99, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB99)) | (~v130(constB99, bitIndex2)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16820,plain,
% 25.04/16.78 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB99)) | (~v130(constB99, bitIndex2)))),
% 25.04/16.78 inference(quant_inst,[status(thm)],[])).
% 25.04/16.78 tff(16821,plain,
% 25.04/16.78 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB99)) | (~v130(constB99, bitIndex2))),
% 25.04/16.78 inference(modus_ponens,[status(thm)],[16820, 16819])).
% 25.04/16.78 tff(16822,plain,
% 25.04/16.78 (~v130(constB99, bitIndex2)),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16821, 2406, 16733])).
% 25.04/16.78 tff(16823,plain,
% 25.04/16.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16824,plain,
% 25.04/16.78 ((v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2))) <=> ((~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16825,plain,
% 25.04/16.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2)))),
% 25.04/16.78 inference(monotonicity,[status(thm)],[16824])).
% 25.04/16.78 tff(16826,plain,
% 25.04/16.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))),
% 25.04/16.78 inference(transitivity,[status(thm)],[16825, 16823])).
% 25.04/16.78 tff(16827,plain,
% 25.04/16.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2)))),
% 25.04/16.78 inference(quant_inst,[status(thm)],[])).
% 25.04/16.78 tff(16828,plain,
% 25.04/16.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2)),
% 25.04/16.78 inference(modus_ponens,[status(thm)],[16827, 16826])).
% 25.04/16.78 tff(16829,plain,
% 25.04/16.78 ((~v127(constB99, bitIndex2)) | v130(constB99, bitIndex2)),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16828, 1812, 16769])).
% 25.04/16.78 tff(16830,plain,
% 25.04/16.78 (~v127(constB99, bitIndex2)),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16829, 16822])).
% 25.04/16.78 tff(16831,plain,
% 25.04/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16832,plain,
% 25.04/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2)))),
% 25.04/16.78 inference(quant_inst,[status(thm)],[])).
% 25.04/16.78 tff(16833,plain,
% 25.04/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2))),
% 25.04/16.78 inference(modus_ponens,[status(thm)],[16832, 16831])).
% 25.04/16.78 tff(16834,plain,
% 25.04/16.78 (v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2))),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16833, 1830, 16787])).
% 25.04/16.78 tff(16835,plain,
% 25.04/16.78 (~v129(constB100, bitIndex2)),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16834, 16830])).
% 25.04/16.78 tff(16836,plain,
% 25.04/16.78 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16837,plain,
% 25.04/16.78 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))),
% 25.04/16.78 inference(quant_inst,[status(thm)],[])).
% 25.04/16.78 tff(16838,plain,
% 25.04/16.78 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100))),
% 25.04/16.78 inference(modus_ponens,[status(thm)],[16837, 16836])).
% 25.04/16.78 tff(16839,plain,
% 25.04/16.78 ((~v90(constB100, bitIndex2)) | (~v100(constB100))),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16838, 1845, 16835])).
% 25.04/16.78 tff(16840,plain,
% 25.04/16.78 (~v90(constB100, bitIndex2)),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16839, 16818])).
% 25.04/16.78 tff(16841,plain,
% 25.04/16.78 ((~v1(constB101)) <=> (~v1(constB101))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16842,axiom,(~v1(constB101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_101_1_1')).
% 25.04/16.78 tff(16843,plain,
% 25.04/16.78 (~v1(constB101)),
% 25.04/16.78 inference(modus_ponens,[status(thm)],[16842, 16841])).
% 25.04/16.78 tff(16844,plain,
% 25.04/16.78 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16845,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_100_1')).
% 25.04/16.78 tff(16846,plain,
% 25.04/16.78 (nextState(constB100, constB101)),
% 25.04/16.78 inference(modus_ponens,[status(thm)],[16845, 16844])).
% 25.04/16.78 tff(16847,plain,
% 25.04/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16848,plain,
% 25.04/16.78 (((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101)) <=> (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16849,plain,
% 25.04/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101))))),
% 25.04/16.78 inference(monotonicity,[status(thm)],[16848])).
% 25.04/16.78 tff(16850,plain,
% 25.04/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 25.04/16.78 inference(transitivity,[status(thm)],[16849, 16847])).
% 25.04/16.78 tff(16851,plain,
% 25.04/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))),
% 25.04/16.78 inference(quant_inst,[status(thm)],[])).
% 25.04/16.78 tff(16852,plain,
% 25.04/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101))),
% 25.04/16.78 inference(modus_ponens,[status(thm)],[16851, 16850])).
% 25.04/16.78 tff(16853,plain,
% 25.04/16.78 (~v101(constB101)),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16852, 860, 16846, 16843])).
% 25.04/16.78 tff(16854,plain,
% 25.04/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16855,plain,
% 25.04/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))),
% 25.04/16.78 inference(quant_inst,[status(thm)],[])).
% 25.04/16.78 tff(16856,plain,
% 25.04/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101))),
% 25.04/16.78 inference(modus_ponens,[status(thm)],[16855, 16854])).
% 25.04/16.78 tff(16857,plain,
% 25.04/16.78 (v101(constB101) | (~v100(constB101))),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16856, 877, 16846])).
% 25.04/16.78 tff(16858,plain,
% 25.04/16.78 (~v100(constB101)),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16857, 16853])).
% 25.04/16.78 tff(16859,plain,
% 25.04/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16860,plain,
% 25.04/16.78 (((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2))) <=> (v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16861,plain,
% 25.04/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2))))),
% 25.04/16.78 inference(monotonicity,[status(thm)],[16860])).
% 25.04/16.78 tff(16862,plain,
% 25.04/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 25.04/16.78 inference(transitivity,[status(thm)],[16861, 16859])).
% 25.04/16.78 tff(16863,plain,
% 25.04/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 25.04/16.78 inference(quant_inst,[status(thm)],[])).
% 25.04/16.78 tff(16864,plain,
% 25.04/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2))),
% 25.04/16.78 inference(modus_ponens,[status(thm)],[16863, 16862])).
% 25.04/16.78 tff(16865,plain,
% 25.04/16.78 (v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2))),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16864, 892, 16846])).
% 25.04/16.78 tff(16866,plain,
% 25.04/16.78 (v90(constB100, bitIndex2) | (~v90(constB101, bitIndex2))),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16865, 16858])).
% 25.04/16.78 tff(16867,plain,
% 25.04/16.78 (~v90(constB101, bitIndex2)),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16866, 16840])).
% 25.04/16.78 tff(16868,plain,
% 25.04/16.78 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB99)) | v130(constB99, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB99)) | v130(constB99, bitIndex1))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16869,plain,
% 25.04/16.78 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB99)) | v130(constB99, bitIndex1))),
% 25.04/16.78 inference(quant_inst,[status(thm)],[])).
% 25.04/16.78 tff(16870,plain,
% 25.04/16.78 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB99)) | v130(constB99, bitIndex1)),
% 25.04/16.78 inference(modus_ponens,[status(thm)],[16869, 16868])).
% 25.04/16.78 tff(16871,plain,
% 25.04/16.78 (v130(constB99, bitIndex1)),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16870, 2562, 16733])).
% 25.04/16.78 tff(16872,plain,
% 25.04/16.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16873,plain,
% 25.04/16.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1))),
% 25.04/16.78 inference(quant_inst,[status(thm)],[])).
% 25.04/16.78 tff(16874,plain,
% 25.04/16.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1)),
% 25.04/16.78 inference(modus_ponens,[status(thm)],[16873, 16872])).
% 25.04/16.78 tff(16875,plain,
% 25.04/16.78 ((~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1)),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16874, 1553, 16769])).
% 25.04/16.78 tff(16876,plain,
% 25.04/16.78 (v127(constB99, bitIndex1)),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16875, 16871])).
% 25.04/16.78 tff(16877,plain,
% 25.04/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16878,plain,
% 25.04/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1))),
% 25.04/16.78 inference(quant_inst,[status(thm)],[])).
% 25.04/16.78 tff(16879,plain,
% 25.04/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1)),
% 25.04/16.78 inference(modus_ponens,[status(thm)],[16878, 16877])).
% 25.04/16.78 tff(16880,plain,
% 25.04/16.78 ((~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1)),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16879, 1568, 16787])).
% 25.04/16.78 tff(16881,plain,
% 25.04/16.78 (v129(constB100, bitIndex1)),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16880, 16876])).
% 25.04/16.78 tff(16882,plain,
% 25.04/16.78 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16883,plain,
% 25.04/16.78 ((v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1))) <=> (v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))),
% 25.04/16.78 inference(rewrite,[status(thm)],[])).
% 25.04/16.78 tff(16884,plain,
% 25.04/16.78 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100))))),
% 25.04/16.78 inference(monotonicity,[status(thm)],[16883])).
% 25.04/16.78 tff(16885,plain,
% 25.04/16.78 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))),
% 25.04/16.78 inference(transitivity,[status(thm)],[16884, 16882])).
% 25.04/16.78 tff(16886,plain,
% 25.04/16.78 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1)))),
% 25.04/16.78 inference(quant_inst,[status(thm)],[])).
% 25.04/16.78 tff(16887,plain,
% 25.04/16.78 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100))),
% 25.04/16.78 inference(modus_ponens,[status(thm)],[16886, 16885])).
% 25.04/16.78 tff(16888,plain,
% 25.04/16.78 (v90(constB100, bitIndex1) | (~v100(constB100))),
% 25.04/16.78 inference(unit_resolution,[status(thm)],[16887, 1583, 16881])).
% 25.04/16.79 tff(16889,plain,
% 25.04/16.79 (v90(constB100, bitIndex1)),
% 25.04/16.79 inference(unit_resolution,[status(thm)],[16888, 16818])).
% 25.04/16.79 tff(16890,plain,
% 25.04/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))),
% 25.04/16.79 inference(rewrite,[status(thm)],[])).
% 25.04/16.79 tff(16891,plain,
% 25.04/16.79 (((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1)) <=> ((~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))),
% 25.04/16.79 inference(rewrite,[status(thm)],[])).
% 25.04/16.79 tff(16892,plain,
% 25.04/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1)))),
% 25.04/16.79 inference(monotonicity,[status(thm)],[16891])).
% 25.04/16.79 tff(16893,plain,
% 25.04/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))),
% 25.04/16.79 inference(transitivity,[status(thm)],[16892, 16890])).
% 25.04/16.79 tff(16894,plain,
% 25.04/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1))),
% 25.04/16.79 inference(quant_inst,[status(thm)],[])).
% 25.04/16.79 tff(16895,plain,
% 25.04/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1)),
% 25.04/16.79 inference(modus_ponens,[status(thm)],[16894, 16893])).
% 25.04/16.79 tff(16896,plain,
% 25.04/16.79 ((~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1)),
% 25.04/16.79 inference(unit_resolution,[status(thm)],[16895, 1601, 16846])).
% 25.04/16.79 tff(16897,plain,
% 25.04/16.79 ((~v90(constB100, bitIndex1)) | v90(constB101, bitIndex1)),
% 25.04/16.79 inference(unit_resolution,[status(thm)],[16896, 16858])).
% 25.04/16.79 tff(16898,plain,
% 25.04/16.79 (v90(constB101, bitIndex1)),
% 25.04/16.79 inference(unit_resolution,[status(thm)],[16897, 16889])).
% 25.04/16.79 tff(16899,plain,
% 25.04/16.79 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB99)) | v130(constB99, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB99)) | v130(constB99, bitIndex0))),
% 25.04/16.79 inference(rewrite,[status(thm)],[])).
% 25.04/16.79 tff(16900,plain,
% 25.04/16.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB99)) | v130(constB99, bitIndex0))),
% 25.04/16.79 inference(quant_inst,[status(thm)],[])).
% 25.04/16.79 tff(16901,plain,
% 25.04/16.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB99)) | v130(constB99, bitIndex0)),
% 25.04/16.79 inference(modus_ponens,[status(thm)],[16900, 16899])).
% 25.04/16.79 tff(16902,plain,
% 25.04/16.79 (v130(constB99, bitIndex0)),
% 25.04/16.79 inference(unit_resolution,[status(thm)],[16901, 2600, 16733])).
% 25.04/16.79 tff(16903,plain,
% 25.04/16.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB99) | (~v130(constB99, bitIndex0)) | v127(constB99, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB99) | (~v130(constB99, bitIndex0)) | v127(constB99, bitIndex0))),
% 25.04/16.79 inference(rewrite,[status(thm)],[])).
% 25.04/16.79 tff(16904,plain,
% 25.04/16.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB99) | (~v130(constB99, bitIndex0)) | v127(constB99, bitIndex0))),
% 25.04/16.79 inference(quant_inst,[status(thm)],[])).
% 25.04/16.79 tff(16905,plain,
% 25.04/16.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB99) | (~v130(constB99, bitIndex0)) | v127(constB99, bitIndex0)),
% 25.04/16.79 inference(modus_ponens,[status(thm)],[16904, 16903])).
% 25.04/16.79 tff(16906,plain,
% 25.04/16.79 ((~v130(constB99, bitIndex0)) | v127(constB99, bitIndex0)),
% 25.04/16.79 inference(unit_resolution,[status(thm)],[16905, 1945, 16769])).
% 25.04/16.79 tff(16907,plain,
% 25.04/16.79 (v127(constB99, bitIndex0)),
% 25.04/16.79 inference(unit_resolution,[status(thm)],[16906, 16902])).
% 25.04/16.79 tff(16908,plain,
% 25.04/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB99, constB100)) | (~v127(constB99, bitIndex0)) | v129(constB100, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB99, constB100)) | (~v127(constB99, bitIndex0)) | v129(constB100, bitIndex0))),
% 25.04/16.79 inference(rewrite,[status(thm)],[])).
% 25.04/16.79 tff(16909,plain,
% 25.04/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB99, constB100)) | (~v127(constB99, bitIndex0)) | v129(constB100, bitIndex0))),
% 25.04/16.79 inference(quant_inst,[status(thm)],[])).
% 25.04/16.79 tff(16910,plain,
% 25.04/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB99, constB100)) | (~v127(constB99, bitIndex0)) | v129(constB100, bitIndex0)),
% 25.04/16.79 inference(modus_ponens,[status(thm)],[16909, 16908])).
% 25.04/16.79 tff(16911,plain,
% 25.04/16.79 ((~v127(constB99, bitIndex0)) | v129(constB100, bitIndex0)),
% 25.04/16.79 inference(unit_resolution,[status(thm)],[16910, 1960, 16787])).
% 25.04/16.79 tff(16912,plain,
% 25.04/16.79 (v129(constB100, bitIndex0)),
% 25.04/16.79 inference(unit_resolution,[status(thm)],[16911, 16907])).
% 25.04/16.79 tff(16913,plain,
% 25.04/16.79 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB100, bitIndex0) | (~v129(constB100, bitIndex0)) | (~v100(constB100)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB100, bitIndex0) | (~v129(constB100, bitIndex0)) | (~v100(constB100)))),
% 25.04/16.79 inference(rewrite,[status(thm)],[])).
% 25.04/16.79 tff(16914,plain,
% 25.04/16.79 ((v90(constB100, bitIndex0) | (~v100(constB100)) | (~v129(constB100, bitIndex0))) <=> (v90(constB100, bitIndex0) | (~v129(constB100, bitIndex0)) | (~v100(constB100)))),
% 25.04/16.79 inference(rewrite,[status(thm)],[])).
% 25.04/16.79 tff(16915,plain,
% 25.04/16.79 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB100, bitIndex0) | (~v100(constB100)) | (~v129(constB100, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB100, bitIndex0) | (~v129(constB100, bitIndex0)) | (~v100(constB100))))),
% 25.04/16.79 inference(monotonicity,[status(thm)],[16914])).
% 25.04/16.79 tff(16916,plain,
% 25.04/16.79 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB100, bitIndex0) | (~v100(constB100)) | (~v129(constB100, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB100, bitIndex0) | (~v129(constB100, bitIndex0)) | (~v100(constB100)))),
% 25.04/16.79 inference(transitivity,[status(thm)],[16915, 16913])).
% 25.04/16.79 tff(16917,plain,
% 25.04/16.79 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB100, bitIndex0) | (~v100(constB100)) | (~v129(constB100, bitIndex0)))),
% 25.04/16.79 inference(quant_inst,[status(thm)],[])).
% 25.04/16.79 tff(16918,plain,
% 25.04/16.79 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB100, bitIndex0) | (~v129(constB100, bitIndex0)) | (~v100(constB100))),
% 25.04/16.79 inference(modus_ponens,[status(thm)],[16917, 16916])).
% 25.04/16.79 tff(16919,plain,
% 25.04/16.79 (v90(constB100, bitIndex0) | (~v100(constB100))),
% 25.04/16.79 inference(unit_resolution,[status(thm)],[16918, 1975, 16912])).
% 25.04/16.79 tff(16920,plain,
% 25.04/16.79 (v90(constB100, bitIndex0)),
% 25.04/16.79 inference(unit_resolution,[status(thm)],[16919, 16818])).
% 25.04/16.79 tff(16921,plain,
% 25.04/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex0))),
% 25.04/16.79 inference(rewrite,[status(thm)],[])).
% 25.04/16.79 tff(16922,plain,
% 25.04/16.79 (((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex0)) | v100(constB101) | v90(constB101, bitIndex0)) <=> ((~v90(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex0))),
% 25.04/16.79 inference(rewrite,[status(thm)],[])).
% 25.04/16.79 tff(16923,plain,
% 25.04/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex0)) | v100(constB101) | v90(constB101, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex0)))),
% 25.04/16.79 inference(monotonicity,[status(thm)],[16922])).
% 25.04/16.79 tff(16924,plain,
% 25.04/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex0)) | v100(constB101) | v90(constB101, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex0))),
% 25.04/16.79 inference(transitivity,[status(thm)],[16923, 16921])).
% 25.04/16.79 tff(16925,plain,
% 25.04/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex0)) | v100(constB101) | v90(constB101, bitIndex0))),
% 25.04/16.79 inference(quant_inst,[status(thm)],[])).
% 25.04/16.79 tff(16926,plain,
% 25.04/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex0)),
% 25.04/16.79 inference(modus_ponens,[status(thm)],[16925, 16924])).
% 25.04/16.79 tff(16927,plain,
% 25.04/16.79 ((~v90(constB100, bitIndex0)) | v100(constB101) | v90(constB101, bitIndex0)),
% 25.04/16.79 inference(unit_resolution,[status(thm)],[16926, 1993, 16846])).
% 25.04/16.79 tff(16928,plain,
% 25.04/16.79 ((~v90(constB100, bitIndex0)) | v90(constB101, bitIndex0)),
% 25.04/16.79 inference(unit_resolution,[status(thm)],[16927, 16858])).
% 25.04/16.79 tff(16929,plain,
% 25.04/16.79 (v90(constB101, bitIndex0)),
% 25.04/16.79 inference(unit_resolution,[status(thm)],[16928, 16920])).
% 25.04/16.79 tff(16930,plain,
% 25.04/16.79 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB101, bitIndex0)) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v122(constB101))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB101, bitIndex0)) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v122(constB101))),
% 25.04/16.79 inference(rewrite,[status(thm)],[])).
% 25.04/16.79 tff(16931,plain,
% 25.04/16.79 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB101, bitIndex0)) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v122(constB101))),
% 25.04/16.79 inference(quant_inst,[status(thm)],[])).
% 25.04/16.79 tff(16932,plain,
% 25.04/16.79 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB101, bitIndex0)) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v122(constB101)),
% 25.04/16.79 inference(modus_ponens,[status(thm)],[16931, 16930])).
% 25.04/16.79 tff(16933,plain,
% 25.04/16.79 (v122(constB101)),
% 25.04/16.79 inference(unit_resolution,[status(thm)],[16932, 2641, 16929, 16898, 16867])).
% 25.04/16.79 tff(16934,plain,
% 25.04/16.79 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB101)) | v116(constB101))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB101)) | v116(constB101))),
% 25.04/16.79 inference(rewrite,[status(thm)],[])).
% 25.04/16.79 tff(16935,plain,
% 25.04/16.79 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB101)) | v116(constB101))),
% 25.04/16.79 inference(quant_inst,[status(thm)],[])).
% 25.04/16.79 tff(16936,plain,
% 25.04/16.79 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB101)) | v116(constB101)),
% 25.04/16.79 inference(modus_ponens,[status(thm)],[16935, 16934])).
% 25.04/16.79 tff(16937,plain,
% 25.04/16.79 (v116(constB101)),
% 25.04/16.79 inference(unit_resolution,[status(thm)],[16936, 2652, 16933])).
% 25.04/16.79 tff(16938,plain,
% 25.04/16.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB101) | (~v116(constB101)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB101) | (~v116(constB101)))),
% 25.04/16.79 inference(rewrite,[status(thm)],[])).
% 25.04/16.79 tff(16939,plain,
% 25.04/16.79 (((~v116(constB101)) | v115(constB101)) <=> (v115(constB101) | (~v116(constB101)))),
% 25.04/16.79 inference(rewrite,[status(thm)],[])).
% 25.04/16.79 tff(16940,plain,
% 25.04/16.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB101)) | v115(constB101))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB101) | (~v116(constB101))))),
% 25.04/16.79 inference(monotonicity,[status(thm)],[16939])).
% 25.04/16.79 tff(16941,plain,
% 25.04/16.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB101)) | v115(constB101))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB101) | (~v116(constB101)))),
% 25.04/16.79 inference(transitivity,[status(thm)],[16940, 16938])).
% 25.04/16.79 tff(16942,plain,
% 25.04/16.79 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB101)) | v115(constB101))),
% 25.04/16.79 inference(quant_inst,[status(thm)],[])).
% 25.04/16.79 tff(16943,plain,
% 25.04/16.79 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB101) | (~v116(constB101))),
% 25.04/16.79 inference(modus_ponens,[status(thm)],[16942, 16941])).
% 25.04/16.79 tff(16944,plain,
% 25.04/16.79 (v115(constB101)),
% 25.04/16.79 inference(unit_resolution,[status(thm)],[16943, 1008, 16937])).
% 25.04/16.79 tff(16945,plain,
% 25.04/16.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB101) | (~v115(constB101)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB101) | (~v115(constB101)))),
% 25.04/16.79 inference(rewrite,[status(thm)],[])).
% 25.04/16.79 tff(16946,plain,
% 25.04/16.79 (((~v115(constB101)) | v114(constB101)) <=> (v114(constB101) | (~v115(constB101)))),
% 25.08/16.79 inference(rewrite,[status(thm)],[])).
% 25.08/16.79 tff(16947,plain,
% 25.08/16.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB101)) | v114(constB101))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB101) | (~v115(constB101))))),
% 25.08/16.79 inference(monotonicity,[status(thm)],[16946])).
% 25.08/16.79 tff(16948,plain,
% 25.08/16.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB101)) | v114(constB101))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB101) | (~v115(constB101)))),
% 25.08/16.79 inference(transitivity,[status(thm)],[16947, 16945])).
% 25.08/16.79 tff(16949,plain,
% 25.08/16.79 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB101)) | v114(constB101))),
% 25.08/16.79 inference(quant_inst,[status(thm)],[])).
% 25.08/16.79 tff(16950,plain,
% 25.08/16.79 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB101) | (~v115(constB101))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[16949, 16948])).
% 25.08/16.79 tff(16951,plain,
% 25.08/16.79 (v114(constB101)),
% 25.08/16.79 inference(unit_resolution,[status(thm)],[16950, 1022, 16944])).
% 25.08/16.79 tff(16952,plain,
% 25.08/16.79 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB101)) | v113(constB101))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB101)) | v113(constB101))),
% 25.08/16.79 inference(rewrite,[status(thm)],[])).
% 25.08/16.79 tff(16953,plain,
% 25.08/16.79 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB101)) | v113(constB101))),
% 25.08/16.79 inference(quant_inst,[status(thm)],[])).
% 25.08/16.79 tff(16954,plain,
% 25.08/16.79 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB101)) | v113(constB101)),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[16953, 16952])).
% 25.08/16.79 tff(16955,plain,
% 25.08/16.79 (v113(constB101)),
% 25.08/16.79 inference(unit_resolution,[status(thm)],[16954, 1036, 16951])).
% 25.08/16.79 tff(16956,assumption,(v26(constB100)), introduced(assumption)).
% 25.08/16.79 tff(16957,plain,
% 25.08/16.79 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB100))),
% 25.08/16.79 inference(quant_inst,[status(thm)],[])).
% 25.08/16.79 tff(16958,plain,
% 25.08/16.79 ($false),
% 25.08/16.79 inference(unit_resolution,[status(thm)],[16957, 797, 16956])).
% 25.08/16.79 tff(16959,plain,(~v26(constB100)), inference(lemma,lemma(discharge,[]))).
% 25.08/16.79 tff(16960,plain,
% 25.08/16.79 (^[VarNext: state_type, VarCurr: state_type] : refl((v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))))),
% 25.08/16.79 inference(bind,[status(th)],[])).
% 25.08/16.79 tff(16961,plain,
% 25.08/16.79 (![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 25.08/16.79 inference(quant_intro,[status(thm)],[16960])).
% 25.08/16.79 tff(16962,plain,
% 25.08/16.79 (![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 25.08/16.79 inference(rewrite,[status(thm)],[])).
% 25.08/16.79 tff(16963,plain,
% 25.08/16.79 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v66(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v66(VarNext))) | v26(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v66(VarNext))) | v26(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v66(VarNext))) | v26(VarCurr)) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v66(VarNext))) | v26(VarCurr)) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))))),
% 25.08/16.79 inference(bind,[status(th)],[])).
% 25.08/16.79 tff(16964,plain,
% 25.08/16.79 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v66(VarNext))) | v26(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 25.08/16.79 inference(quant_intro,[status(thm)],[16963])).
% 25.08/16.79 tff(16965,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v66(VarNext))) | v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_4_1_2')).
% 25.08/16.79 tff(16966,plain,
% 25.08/16.79 (![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[16965, 16964])).
% 25.08/16.79 tff(16967,plain,
% 25.08/16.79 (![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[16966, 16962])).
% 25.08/16.79 tff(16968,plain,(
% 25.08/16.79 ![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 25.08/16.79 inference(skolemize,[status(sab)],[16967])).
% 25.08/16.79 tff(16969,plain,
% 25.08/16.79 (![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[16968, 16961])).
% 25.08/16.79 tff(16970,plain,
% 25.08/16.79 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101)))),
% 25.08/16.79 inference(rewrite,[status(thm)],[])).
% 25.08/16.79 tff(16971,plain,
% 25.08/16.79 ((v26(constB100) | (~nextState(constB100, constB101)) | (~v66(constB101))) <=> ((~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101)))),
% 25.08/16.79 inference(rewrite,[status(thm)],[])).
% 25.08/16.79 tff(16972,plain,
% 25.08/16.79 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB100) | (~nextState(constB100, constB101)) | (~v66(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101))))),
% 25.08/16.79 inference(monotonicity,[status(thm)],[16971])).
% 25.08/16.79 tff(16973,plain,
% 25.08/16.79 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB100) | (~nextState(constB100, constB101)) | (~v66(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101)))),
% 25.08/16.79 inference(transitivity,[status(thm)],[16972, 16970])).
% 25.08/16.79 tff(16974,plain,
% 25.08/16.79 ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB100) | (~nextState(constB100, constB101)) | (~v66(constB101)))),
% 25.08/16.79 inference(quant_inst,[status(thm)],[])).
% 25.08/16.79 tff(16975,plain,
% 25.08/16.79 ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[16974, 16973])).
% 25.08/16.79 tff(16976,plain,
% 25.08/16.79 (v26(constB100) | (~v66(constB101))),
% 25.08/16.79 inference(unit_resolution,[status(thm)],[16975, 16969, 16846])).
% 25.08/16.79 tff(16977,plain,
% 25.08/16.79 (~v66(constB101)),
% 25.08/16.79 inference(unit_resolution,[status(thm)],[16976, 16959])).
% 25.08/16.79 tff(16978,assumption,(v18(constB102)), introduced(assumption)).
% 25.08/16.79 tff(16979,plain,
% 25.08/16.79 (^[VarCurr: state_type] : refl((~v18(VarCurr)) <=> (~v18(VarCurr)))),
% 25.08/16.79 inference(bind,[status(th)],[])).
% 25.08/16.79 tff(16980,plain,
% 25.08/16.79 (![VarCurr: state_type] : (~v18(VarCurr)) <=> ![VarCurr: state_type] : (~v18(VarCurr))),
% 25.08/16.79 inference(quant_intro,[status(thm)],[16979])).
% 25.08/16.79 tff(16981,plain,
% 25.08/16.79 (![VarCurr: state_type] : (~v18(VarCurr)) <=> ![VarCurr: state_type] : (~v18(VarCurr))),
% 25.08/16.79 inference(rewrite,[status(thm)],[])).
% 25.08/16.79 tff(16982,axiom,(![VarCurr: state_type] : (~v18(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addGlobalAssumption_3_1_1')).
% 25.08/16.79 tff(16983,plain,
% 25.08/16.79 (![VarCurr: state_type] : (~v18(VarCurr))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[16982, 16981])).
% 25.08/16.79 tff(16984,plain,(
% 25.08/16.79 ![VarCurr: state_type] : (~v18(VarCurr))),
% 25.08/16.79 inference(skolemize,[status(sab)],[16983])).
% 25.08/16.79 tff(16985,plain,
% 25.08/16.79 (![VarCurr: state_type] : (~v18(VarCurr))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[16984, 16980])).
% 25.08/16.79 tff(16986,plain,
% 25.08/16.79 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB102))),
% 25.08/16.79 inference(quant_inst,[status(thm)],[])).
% 25.08/16.79 tff(16987,plain,
% 25.08/16.79 ($false),
% 25.08/16.79 inference(unit_resolution,[status(thm)],[16986, 16985, 16978])).
% 25.08/16.79 tff(16988,plain,(~v18(constB102)), inference(lemma,lemma(discharge,[]))).
% 25.08/16.79 tff(16989,plain,
% 25.08/16.79 (^[VarCurr: state_type] : refl((v22(VarCurr) | (~v1(VarCurr))) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 25.08/16.79 inference(bind,[status(th)],[])).
% 25.08/16.79 tff(16990,plain,
% 25.08/16.79 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 25.08/16.79 inference(quant_intro,[status(thm)],[16989])).
% 25.08/16.79 tff(16991,plain,
% 25.08/16.79 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 25.08/16.79 inference(rewrite,[status(thm)],[])).
% 25.08/16.79 tff(16992,plain,
% 25.08/16.79 (^[VarCurr: state_type] : rewrite(((~v1(VarCurr)) | v22(VarCurr)) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 25.08/16.79 inference(bind,[status(th)],[])).
% 25.08/16.79 tff(16993,plain,
% 25.08/16.79 (![VarCurr: state_type] : ((~v1(VarCurr)) | v22(VarCurr)) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 25.08/16.79 inference(quant_intro,[status(thm)],[16992])).
% 25.08/16.79 tff(16994,axiom,(![VarCurr: state_type] : ((~v1(VarCurr)) | v22(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_1_1_1_1_1')).
% 25.08/16.79 tff(16995,plain,
% 25.08/16.79 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[16994, 16993])).
% 25.08/16.79 tff(16996,plain,
% 25.08/16.79 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[16995, 16991])).
% 25.08/16.79 tff(16997,plain,(
% 25.08/16.79 ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 25.08/16.79 inference(skolemize,[status(sab)],[16996])).
% 25.08/16.79 tff(16998,plain,
% 25.08/16.79 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[16997, 16990])).
% 25.08/16.79 tff(16999,plain,
% 25.08/16.79 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102)))),
% 25.08/16.79 inference(rewrite,[status(thm)],[])).
% 25.08/16.79 tff(17000,plain,
% 25.08/16.79 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))),
% 25.08/16.79 inference(quant_inst,[status(thm)],[])).
% 25.08/16.79 tff(17001,plain,
% 25.08/16.79 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[17000, 16999])).
% 25.08/16.79 tff(17002,plain,
% 25.08/16.79 (v22(constB102)),
% 25.08/16.79 inference(unit_resolution,[status(thm)],[17001, 16998, 735])).
% 25.08/16.79 tff(17003,plain,
% 25.08/16.79 (^[VarCurr: state_type] : refl((v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))))),
% 25.08/16.79 inference(bind,[status(th)],[])).
% 25.08/16.79 tff(17004,plain,
% 25.08/16.79 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 25.08/16.79 inference(quant_intro,[status(thm)],[17003])).
% 25.08/16.79 tff(17005,plain,
% 25.08/16.79 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 25.08/16.79 inference(rewrite,[status(thm)],[])).
% 25.08/16.79 tff(17006,plain,
% 25.08/16.79 (^[VarCurr: state_type] : rewrite((((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr)) <=> (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))))),
% 25.08/16.79 inference(bind,[status(th)],[])).
% 25.08/16.79 tff(17007,plain,
% 25.08/16.79 (![VarCurr: state_type] : (((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr)) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 25.08/16.79 inference(quant_intro,[status(thm)],[17006])).
% 25.08/16.79 tff(17008,axiom,(![VarCurr: state_type] : (((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_2_1_1_1')).
% 25.08/16.79 tff(17009,plain,
% 25.08/16.79 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[17008, 17007])).
% 25.08/16.79 tff(17010,plain,
% 25.08/16.79 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[17009, 17005])).
% 25.08/16.79 tff(17011,plain,(
% 25.08/16.79 ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 25.08/16.79 inference(skolemize,[status(sab)],[17010])).
% 25.08/16.79 tff(17012,plain,
% 25.08/16.79 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[17011, 17004])).
% 25.08/16.79 tff(17013,plain,
% 25.08/16.79 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB102) | (~v22(constB102)) | (~v19(constB102)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB102) | (~v22(constB102)) | (~v19(constB102)))),
% 25.08/16.79 inference(rewrite,[status(thm)],[])).
% 25.08/16.79 tff(17014,plain,
% 25.08/16.79 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB102) | (~v22(constB102)) | (~v19(constB102)))),
% 25.08/16.79 inference(quant_inst,[status(thm)],[])).
% 25.08/16.79 tff(17015,plain,
% 25.08/16.79 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB102) | (~v22(constB102)) | (~v19(constB102))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[17014, 17013])).
% 25.08/16.79 tff(17016,plain,
% 25.08/16.79 (v18(constB102) | (~v19(constB102))),
% 25.08/16.79 inference(unit_resolution,[status(thm)],[17015, 17012, 17002])).
% 25.08/16.79 tff(17017,plain,
% 25.08/16.79 (~v19(constB102)),
% 25.08/16.79 inference(unit_resolution,[status(thm)],[17016, 16988])).
% 25.08/16.79 tff(17018,plain,
% 25.08/16.79 (^[VarCurr: state_type] : refl((v13(VarCurr) | v19(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 25.08/16.79 inference(bind,[status(th)],[])).
% 25.08/16.79 tff(17019,plain,
% 25.08/16.79 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 25.08/16.79 inference(quant_intro,[status(thm)],[17018])).
% 25.08/16.79 tff(17020,plain,
% 25.08/16.79 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 25.08/16.79 inference(rewrite,[status(thm)],[])).
% 25.08/16.79 tff(17021,axiom,(![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_54_1_1_2')).
% 25.08/16.79 tff(17022,plain,
% 25.08/16.79 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[17021, 17020])).
% 25.08/16.79 tff(17023,plain,(
% 25.08/16.79 ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 25.08/16.79 inference(skolemize,[status(sab)],[17022])).
% 25.08/16.79 tff(17024,plain,
% 25.08/16.79 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[17023, 17019])).
% 25.08/16.79 tff(17025,plain,
% 25.08/16.79 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102))),
% 25.08/16.79 inference(rewrite,[status(thm)],[])).
% 25.08/16.79 tff(17026,plain,
% 25.08/16.79 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))),
% 25.08/16.79 inference(quant_inst,[status(thm)],[])).
% 25.08/16.79 tff(17027,plain,
% 25.08/16.79 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102)),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[17026, 17025])).
% 25.08/16.79 tff(17028,plain,
% 25.08/16.79 (v13(constB102)),
% 25.08/16.79 inference(unit_resolution,[status(thm)],[17027, 17024, 17017])).
% 25.08/16.79 tff(17029,plain,
% 25.08/16.79 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 25.08/16.79 inference(rewrite,[status(thm)],[])).
% 25.08/16.79 tff(17030,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_101_1')).
% 25.08/16.79 tff(17031,plain,
% 25.08/16.79 (nextState(constB101, constB102)),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[17030, 17029])).
% 25.08/16.79 tff(17032,plain,
% 25.08/16.79 (^[VarNext: state_type, VarCurr: state_type] : refl((v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))))),
% 25.08/16.79 inference(bind,[status(th)],[])).
% 25.08/16.79 tff(17033,plain,
% 25.08/16.79 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 25.08/16.79 inference(quant_intro,[status(thm)],[17032])).
% 25.08/16.79 tff(17034,plain,
% 25.08/16.79 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 25.08/16.79 inference(rewrite,[status(thm)],[])).
% 25.08/16.79 tff(17035,plain,
% 25.08/16.79 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) <=> ((~v13(VarNext)) | (~nextState(VarCurr, VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr)) <=> (((~v13(VarNext)) | (~nextState(VarCurr, VarNext))) | v9(VarCurr)))), rewrite((((~v13(VarNext)) | (~nextState(VarCurr, VarNext))) | v9(VarCurr)) <=> (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr)) <=> (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))))),
% 25.08/16.79 inference(bind,[status(th)],[])).
% 25.08/16.79 tff(17036,plain,
% 25.08/16.79 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 25.08/16.79 inference(quant_intro,[status(thm)],[17035])).
% 25.08/16.79 tff(17037,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_13_2')).
% 25.08/16.79 tff(17038,plain,
% 25.08/16.79 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[17037, 17036])).
% 25.08/16.79 tff(17039,plain,
% 25.08/16.79 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[17038, 17034])).
% 25.08/16.79 tff(17040,plain,(
% 25.08/16.79 ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 25.08/16.79 inference(skolemize,[status(sab)],[17039])).
% 25.08/16.79 tff(17041,plain,
% 25.08/16.79 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[17040, 17033])).
% 25.08/16.79 tff(17042,plain,
% 25.08/16.79 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB101) | (~v13(constB102)) | (~nextState(constB101, constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB101) | (~v13(constB102)) | (~nextState(constB101, constB102)))),
% 25.08/16.79 inference(rewrite,[status(thm)],[])).
% 25.08/16.79 tff(17043,plain,
% 25.08/16.79 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB101) | (~v13(constB102)) | (~nextState(constB101, constB102)))),
% 25.08/16.79 inference(quant_inst,[status(thm)],[])).
% 25.08/16.79 tff(17044,plain,
% 25.08/16.79 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB101) | (~v13(constB102)) | (~nextState(constB101, constB102))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[17043, 17042])).
% 25.08/16.79 tff(17045,plain,
% 25.08/16.79 (v9(constB101) | (~v13(constB102))),
% 25.08/16.79 inference(unit_resolution,[status(thm)],[17044, 17041, 17031])).
% 25.08/16.79 tff(17046,plain,
% 25.08/16.79 (v9(constB101)),
% 25.08/16.79 inference(unit_resolution,[status(thm)],[17045, 17028])).
% 25.08/16.79 tff(17047,plain,
% 25.08/16.79 (^[VarCurr: state_type] : refl((v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)))),
% 25.08/16.79 inference(bind,[status(th)],[])).
% 25.08/16.79 tff(17048,plain,
% 25.08/16.79 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 25.08/16.79 inference(quant_intro,[status(thm)],[17047])).
% 25.08/16.79 tff(17049,plain,
% 25.08/16.79 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 25.08/16.79 inference(rewrite,[status(thm)],[])).
% 25.08/16.79 tff(17050,plain,
% 25.08/16.79 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v9(VarCurr)) | v1(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)))), ((((~v9(VarCurr)) | v1(VarCurr)) | v64(VarCurr)) <=> ((v1(VarCurr) | (~v9(VarCurr))) | v64(VarCurr)))), rewrite(((v1(VarCurr) | (~v9(VarCurr))) | v64(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))), ((((~v9(VarCurr)) | v1(VarCurr)) | v64(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))))),
% 25.08/16.79 inference(bind,[status(th)],[])).
% 25.08/16.79 tff(17051,plain,
% 25.08/16.79 (![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 25.08/16.79 inference(quant_intro,[status(thm)],[17050])).
% 25.08/16.79 tff(17052,axiom,(![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v64(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_11_1_2')).
% 25.08/16.79 tff(17053,plain,
% 25.08/16.79 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[17052, 17051])).
% 25.08/16.79 tff(17054,plain,
% 25.08/16.79 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[17053, 17049])).
% 25.08/16.79 tff(17055,plain,(
% 25.08/16.79 ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 25.08/16.79 inference(skolemize,[status(sab)],[17054])).
% 25.08/16.79 tff(17056,plain,
% 25.08/16.79 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[17055, 17048])).
% 25.08/16.79 tff(17057,plain,
% 25.08/16.79 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB101) | v64(constB101) | (~v9(constB101)))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB101) | v64(constB101) | (~v9(constB101)))),
% 25.08/16.79 inference(rewrite,[status(thm)],[])).
% 25.08/16.79 tff(17058,plain,
% 25.08/16.79 ((v1(constB101) | (~v9(constB101)) | v64(constB101)) <=> (v1(constB101) | v64(constB101) | (~v9(constB101)))),
% 25.08/16.79 inference(rewrite,[status(thm)],[])).
% 25.08/16.79 tff(17059,plain,
% 25.08/16.79 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v64(constB101))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB101) | v64(constB101) | (~v9(constB101))))),
% 25.08/16.79 inference(monotonicity,[status(thm)],[17058])).
% 25.08/16.79 tff(17060,plain,
% 25.08/16.79 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v64(constB101))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB101) | v64(constB101) | (~v9(constB101)))),
% 25.08/16.79 inference(transitivity,[status(thm)],[17059, 17057])).
% 25.08/16.79 tff(17061,plain,
% 25.08/16.79 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v64(constB101))),
% 25.08/16.79 inference(quant_inst,[status(thm)],[])).
% 25.08/16.79 tff(17062,plain,
% 25.08/16.79 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB101) | v64(constB101) | (~v9(constB101))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[17061, 17060])).
% 25.08/16.79 tff(17063,plain,
% 25.08/16.79 (v64(constB101) | (~v9(constB101))),
% 25.08/16.79 inference(unit_resolution,[status(thm)],[17062, 17056, 16843])).
% 25.08/16.79 tff(17064,plain,
% 25.08/16.79 (v64(constB101)),
% 25.08/16.79 inference(unit_resolution,[status(thm)],[17063, 17046])).
% 25.08/16.79 tff(17065,plain,
% 25.08/16.79 (^[VarNext: state_type] : refl(((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext))) <=> ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext))))),
% 25.08/16.79 inference(bind,[status(th)],[])).
% 25.08/16.79 tff(17066,plain,
% 25.08/16.79 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext))) <=> ![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 25.08/16.79 inference(quant_intro,[status(thm)],[17065])).
% 25.08/16.79 tff(17067,plain,
% 25.08/16.79 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext))) <=> ![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 25.08/16.79 inference(rewrite,[status(thm)],[])).
% 25.08/16.79 tff(17068,plain,
% 25.08/16.79 (^[VarNext: state_type] : trans(monotonicity(rewrite(((~v64(VarNext)) | (~v60(VarNext))) <=> ((~v64(VarNext)) | (~v60(VarNext)))), ((((~v64(VarNext)) | (~v60(VarNext))) | v66(VarNext)) <=> (((~v64(VarNext)) | (~v60(VarNext))) | v66(VarNext)))), rewrite((((~v64(VarNext)) | (~v60(VarNext))) | v66(VarNext)) <=> ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))), ((((~v64(VarNext)) | (~v60(VarNext))) | v66(VarNext)) <=> ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))))),
% 25.08/16.79 inference(bind,[status(th)],[])).
% 25.08/16.79 tff(17069,plain,
% 25.08/16.79 (![VarNext: state_type] : (((~v64(VarNext)) | (~v60(VarNext))) | v66(VarNext)) <=> ![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 25.08/16.79 inference(quant_intro,[status(thm)],[17068])).
% 25.08/16.79 tff(17070,axiom,(![VarNext: state_type] : (((~v64(VarNext)) | (~v60(VarNext))) | v66(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_3_1_2')).
% 25.08/16.79 tff(17071,plain,
% 25.08/16.79 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[17070, 17069])).
% 25.08/16.79 tff(17072,plain,
% 25.08/16.79 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[17071, 17067])).
% 25.08/16.79 tff(17073,plain,(
% 25.08/16.79 ![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 25.08/16.79 inference(skolemize,[status(sab)],[17072])).
% 25.08/16.79 tff(17074,plain,
% 25.08/16.79 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[17073, 17066])).
% 25.08/16.79 tff(17075,plain,
% 25.08/16.79 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v60(constB101)) | v66(constB101) | (~v64(constB101)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB101)) | v66(constB101) | (~v64(constB101)))),
% 25.08/16.79 inference(rewrite,[status(thm)],[])).
% 25.08/16.79 tff(17076,plain,
% 25.08/16.79 (((~v64(constB101)) | v66(constB101) | (~v60(constB101))) <=> ((~v60(constB101)) | v66(constB101) | (~v64(constB101)))),
% 25.08/16.79 inference(rewrite,[status(thm)],[])).
% 25.08/16.79 tff(17077,plain,
% 25.08/16.79 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB101)) | v66(constB101) | (~v60(constB101)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v60(constB101)) | v66(constB101) | (~v64(constB101))))),
% 25.08/16.79 inference(monotonicity,[status(thm)],[17076])).
% 25.08/16.79 tff(17078,plain,
% 25.08/16.79 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB101)) | v66(constB101) | (~v60(constB101)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB101)) | v66(constB101) | (~v64(constB101)))),
% 25.08/16.79 inference(transitivity,[status(thm)],[17077, 17075])).
% 25.08/16.79 tff(17079,plain,
% 25.08/16.79 ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB101)) | v66(constB101) | (~v60(constB101)))),
% 25.08/16.79 inference(quant_inst,[status(thm)],[])).
% 25.08/16.79 tff(17080,plain,
% 25.08/16.79 ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB101)) | v66(constB101) | (~v64(constB101))),
% 25.08/16.79 inference(modus_ponens,[status(thm)],[17079, 17078])).
% 25.08/16.79 tff(17081,plain,
% 25.08/16.79 ((~v60(constB101)) | v66(constB101)),
% 25.08/16.79 inference(unit_resolution,[status(thm)],[17080, 17074, 17064])).
% 25.08/16.79 tff(17082,plain,
% 25.08/16.79 (~v60(constB101)),
% 25.08/16.79 inference(unit_resolution,[status(thm)],[17081, 16977])).
% 25.08/16.79 tff(17083,assumption,(v71(constB101)), introduced(assumption)).
% 25.08/16.79 tff(17084,plain,
% 25.08/16.79 (^[VarCurr: state_type] : refl((~v71(VarCurr)) <=> (~v71(VarCurr)))),
% 25.08/16.79 inference(bind,[status(th)],[])).
% 25.08/16.79 tff(17085,plain,
% 25.08/16.79 (![VarCurr: state_type] : (~v71(VarCurr)) <=> ![VarCurr: state_type] : (~v71(VarCurr))),
% 25.08/16.79 inference(quant_intro,[status(thm)],[17084])).
% 25.08/16.80 tff(17086,plain,
% 25.08/16.80 (![VarCurr: state_type] : (~v71(VarCurr)) <=> ![VarCurr: state_type] : (~v71(VarCurr))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17087,axiom,(![VarCurr: state_type] : (~v71(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addGlobalAssumption_1_1_1_1')).
% 25.08/16.80 tff(17088,plain,
% 25.08/16.80 (![VarCurr: state_type] : (~v71(VarCurr))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17087, 17086])).
% 25.08/16.80 tff(17089,plain,(
% 25.08/16.80 ![VarCurr: state_type] : (~v71(VarCurr))),
% 25.08/16.80 inference(skolemize,[status(sab)],[17088])).
% 25.08/16.80 tff(17090,plain,
% 25.08/16.80 (![VarCurr: state_type] : (~v71(VarCurr))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17089, 17085])).
% 25.08/16.80 tff(17091,plain,
% 25.08/16.80 ((~![VarCurr: state_type] : (~v71(VarCurr))) | (~v71(constB101))),
% 25.08/16.80 inference(quant_inst,[status(thm)],[])).
% 25.08/16.80 tff(17092,plain,
% 25.08/16.80 ($false),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17091, 17090, 17083])).
% 25.08/16.80 tff(17093,plain,(~v71(constB101)), inference(lemma,lemma(discharge,[]))).
% 25.08/16.80 tff(17094,plain,
% 25.08/16.80 (^[VarCurr: state_type] : refl(((~v9(VarCurr)) | v80(VarCurr)) <=> ((~v9(VarCurr)) | v80(VarCurr)))),
% 25.08/16.80 inference(bind,[status(th)],[])).
% 25.08/16.80 tff(17095,plain,
% 25.08/16.80 (![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr)) <=> ![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 25.08/16.80 inference(quant_intro,[status(thm)],[17094])).
% 25.08/16.80 tff(17096,plain,
% 25.08/16.80 (![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr)) <=> ![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17097,axiom,(![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_15_1_1_1_2')).
% 25.08/16.80 tff(17098,plain,
% 25.08/16.80 (![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17097, 17096])).
% 25.08/16.80 tff(17099,plain,(
% 25.08/16.80 ![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 25.08/16.80 inference(skolemize,[status(sab)],[17098])).
% 25.08/16.80 tff(17100,plain,
% 25.08/16.80 (![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17099, 17095])).
% 25.08/16.80 tff(17101,plain,
% 25.08/16.80 (((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | ((~v9(constB101)) | v80(constB101))) <=> ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | (~v9(constB101)) | v80(constB101))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17102,plain,
% 25.08/16.80 ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | ((~v9(constB101)) | v80(constB101))),
% 25.08/16.80 inference(quant_inst,[status(thm)],[])).
% 25.08/16.80 tff(17103,plain,
% 25.08/16.80 ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | (~v9(constB101)) | v80(constB101)),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17102, 17101])).
% 25.08/16.80 tff(17104,plain,
% 25.08/16.80 (v80(constB101)),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17103, 17100, 17046])).
% 25.08/16.80 tff(17105,plain,
% 25.08/16.80 (^[VarCurr: state_type] : refl((v1(VarCurr) | v78(VarCurr)) <=> (v1(VarCurr) | v78(VarCurr)))),
% 25.08/16.80 inference(bind,[status(th)],[])).
% 25.08/16.80 tff(17106,plain,
% 25.08/16.80 (![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 25.08/16.80 inference(quant_intro,[status(thm)],[17105])).
% 25.08/16.80 tff(17107,plain,
% 25.08/16.80 (![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17108,axiom,(![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_14_1_1_1_1')).
% 25.08/16.80 tff(17109,plain,
% 25.08/16.80 (![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17108, 17107])).
% 25.08/16.80 tff(17110,plain,(
% 25.08/16.80 ![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 25.08/16.80 inference(skolemize,[status(sab)],[17109])).
% 25.08/16.80 tff(17111,plain,
% 25.08/16.80 (![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17110, 17106])).
% 25.08/16.80 tff(17112,plain,
% 25.08/16.80 (((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB101) | v78(constB101))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | v1(constB101) | v78(constB101))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17113,plain,
% 25.08/16.80 ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB101) | v78(constB101))),
% 25.08/16.80 inference(quant_inst,[status(thm)],[])).
% 25.08/16.80 tff(17114,plain,
% 25.08/16.80 ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | v1(constB101) | v78(constB101)),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17113, 17112])).
% 25.08/16.80 tff(17115,plain,
% 25.08/16.80 (v78(constB101)),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17114, 17111, 16843])).
% 25.08/16.80 tff(17116,plain,
% 25.08/16.80 (^[VarCurr: state_type] : refl((v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))) <=> (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))))),
% 25.08/16.80 inference(bind,[status(th)],[])).
% 25.08/16.80 tff(17117,plain,
% 25.08/16.80 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))) <=> ![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 25.08/16.80 inference(quant_intro,[status(thm)],[17116])).
% 25.08/16.80 tff(17118,plain,
% 25.08/16.80 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))) <=> ![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17119,plain,
% 25.08/16.80 (^[VarCurr: state_type] : rewrite((((~v78(VarCurr)) | (~v80(VarCurr))) | v76(VarCurr)) <=> (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))))),
% 25.08/16.80 inference(bind,[status(th)],[])).
% 25.08/16.80 tff(17120,plain,
% 25.08/16.80 (![VarCurr: state_type] : (((~v78(VarCurr)) | (~v80(VarCurr))) | v76(VarCurr)) <=> ![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 25.08/16.80 inference(quant_intro,[status(thm)],[17119])).
% 25.08/16.80 tff(17121,axiom,(![VarCurr: state_type] : (((~v78(VarCurr)) | (~v80(VarCurr))) | v76(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_16_1_1_1')).
% 25.08/16.80 tff(17122,plain,
% 25.08/16.80 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17121, 17120])).
% 25.08/16.80 tff(17123,plain,
% 25.08/16.80 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17122, 17118])).
% 25.08/16.80 tff(17124,plain,(
% 25.08/16.80 ![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 25.08/16.80 inference(skolemize,[status(sab)],[17123])).
% 25.08/16.80 tff(17125,plain,
% 25.08/16.80 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17124, 17117])).
% 25.08/16.80 tff(17126,plain,
% 25.08/16.80 (((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | (v76(constB101) | (~v80(constB101)) | (~v78(constB101)))) <=> ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | v76(constB101) | (~v80(constB101)) | (~v78(constB101)))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17127,plain,
% 25.08/16.80 ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | (v76(constB101) | (~v80(constB101)) | (~v78(constB101)))),
% 25.08/16.80 inference(quant_inst,[status(thm)],[])).
% 25.08/16.80 tff(17128,plain,
% 25.08/16.80 ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | v76(constB101) | (~v80(constB101)) | (~v78(constB101))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17127, 17126])).
% 25.08/16.80 tff(17129,plain,
% 25.08/16.80 (v76(constB101) | (~v80(constB101))),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17128, 17125, 17115])).
% 25.08/16.80 tff(17130,plain,
% 25.08/16.80 (v76(constB101)),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17129, 17104])).
% 25.08/16.80 tff(17131,plain,
% 25.08/16.80 (^[VarCurr: state_type] : refl((v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))) <=> (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))))),
% 25.08/16.80 inference(bind,[status(th)],[])).
% 25.08/16.80 tff(17132,plain,
% 25.08/16.80 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))) <=> ![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 25.08/16.80 inference(quant_intro,[status(thm)],[17131])).
% 25.08/16.80 tff(17133,plain,
% 25.08/16.80 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))) <=> ![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17134,plain,
% 25.08/16.80 (^[VarCurr: state_type] : rewrite((((~v72(VarCurr)) | (~v76(VarCurr))) | v71(VarCurr)) <=> (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))))),
% 25.08/16.80 inference(bind,[status(th)],[])).
% 25.08/16.80 tff(17135,plain,
% 25.08/16.80 (![VarCurr: state_type] : (((~v72(VarCurr)) | (~v76(VarCurr))) | v71(VarCurr)) <=> ![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 25.08/16.80 inference(quant_intro,[status(thm)],[17134])).
% 25.08/16.80 tff(17136,axiom,(![VarCurr: state_type] : (((~v72(VarCurr)) | (~v76(VarCurr))) | v71(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_17_1_1_1')).
% 25.08/16.80 tff(17137,plain,
% 25.08/16.80 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17136, 17135])).
% 25.08/16.80 tff(17138,plain,
% 25.08/16.80 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17137, 17133])).
% 25.08/16.80 tff(17139,plain,(
% 25.08/16.80 ![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 25.08/16.80 inference(skolemize,[status(sab)],[17138])).
% 25.08/16.80 tff(17140,plain,
% 25.08/16.80 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17139, 17132])).
% 25.08/16.80 tff(17141,plain,
% 25.08/16.80 (((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | ((~v76(constB101)) | (~v72(constB101)) | v71(constB101))) <=> ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (~v76(constB101)) | (~v72(constB101)) | v71(constB101))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17142,plain,
% 25.08/16.80 ((v71(constB101) | (~v76(constB101)) | (~v72(constB101))) <=> ((~v76(constB101)) | (~v72(constB101)) | v71(constB101))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17143,plain,
% 25.08/16.80 (((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB101) | (~v76(constB101)) | (~v72(constB101)))) <=> ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | ((~v76(constB101)) | (~v72(constB101)) | v71(constB101)))),
% 25.08/16.80 inference(monotonicity,[status(thm)],[17142])).
% 25.08/16.80 tff(17144,plain,
% 25.08/16.80 (((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB101) | (~v76(constB101)) | (~v72(constB101)))) <=> ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (~v76(constB101)) | (~v72(constB101)) | v71(constB101))),
% 25.08/16.80 inference(transitivity,[status(thm)],[17143, 17141])).
% 25.08/16.80 tff(17145,plain,
% 25.08/16.80 ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB101) | (~v76(constB101)) | (~v72(constB101)))),
% 25.08/16.80 inference(quant_inst,[status(thm)],[])).
% 25.08/16.80 tff(17146,plain,
% 25.08/16.80 ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (~v76(constB101)) | (~v72(constB101)) | v71(constB101)),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17145, 17144])).
% 25.08/16.80 tff(17147,plain,
% 25.08/16.80 ((~v72(constB101)) | v71(constB101)),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17146, 17140, 17130])).
% 25.08/16.80 tff(17148,plain,
% 25.08/16.80 (~v72(constB101)),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17147, 17093])).
% 25.08/16.80 tff(17149,plain,
% 25.08/16.80 (^[VarCurr: state_type] : refl((v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 25.08/16.80 inference(bind,[status(th)],[])).
% 25.08/16.80 tff(17150,plain,
% 25.08/16.80 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 25.08/16.80 inference(quant_intro,[status(thm)],[17149])).
% 25.08/16.80 tff(17151,plain,
% 25.08/16.80 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17152,plain,
% 25.08/16.80 (^[VarCurr: state_type] : rewrite(((v1(VarCurr) | v74(VarCurr)) | v72(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 25.08/16.80 inference(bind,[status(th)],[])).
% 25.08/16.80 tff(17153,plain,
% 25.08/16.80 (![VarCurr: state_type] : ((v1(VarCurr) | v74(VarCurr)) | v72(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 25.08/16.80 inference(quant_intro,[status(thm)],[17152])).
% 25.08/16.80 tff(17154,axiom,(![VarCurr: state_type] : ((v1(VarCurr) | v74(VarCurr)) | v72(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_13_1_1_1_1')).
% 25.08/16.80 tff(17155,plain,
% 25.08/16.80 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17154, 17153])).
% 25.08/16.80 tff(17156,plain,
% 25.08/16.80 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17155, 17151])).
% 25.08/16.80 tff(17157,plain,(
% 25.08/16.80 ![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 25.08/16.80 inference(skolemize,[status(sab)],[17156])).
% 25.08/16.80 tff(17158,plain,
% 25.08/16.80 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17157, 17150])).
% 25.08/16.80 tff(17159,plain,
% 25.08/16.80 (((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB101) | v72(constB101) | v74(constB101))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB101) | v72(constB101) | v74(constB101))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17160,plain,
% 25.08/16.80 ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB101) | v72(constB101) | v74(constB101))),
% 25.08/16.80 inference(quant_inst,[status(thm)],[])).
% 25.08/16.80 tff(17161,plain,
% 25.08/16.80 ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB101) | v72(constB101) | v74(constB101)),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17160, 17159])).
% 25.08/16.80 tff(17162,plain,
% 25.08/16.80 (v72(constB101) | v74(constB101)),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17161, 17158, 16843])).
% 25.08/16.80 tff(17163,plain,
% 25.08/16.80 (v74(constB101)),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17162, 17148])).
% 25.08/16.80 tff(17164,plain,
% 25.08/16.80 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))))),
% 25.08/16.80 inference(bind,[status(th)],[])).
% 25.08/16.80 tff(17165,plain,
% 25.08/16.80 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 25.08/16.80 inference(quant_intro,[status(thm)],[17164])).
% 25.08/16.80 tff(17166,plain,
% 25.08/16.80 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17167,plain,
% 25.08/16.80 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v74(VarCurr)) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~v74(VarCurr)))), ((((~v74(VarCurr)) | (~v26(VarCurr))) | v60(VarCurr)) <=> (((~v26(VarCurr)) | (~v74(VarCurr))) | v60(VarCurr)))), rewrite((((~v26(VarCurr)) | (~v74(VarCurr))) | v60(VarCurr)) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))), ((((~v74(VarCurr)) | (~v26(VarCurr))) | v60(VarCurr)) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))))),
% 25.08/16.80 inference(bind,[status(th)],[])).
% 25.08/16.80 tff(17168,plain,
% 25.08/16.80 (![VarCurr: state_type] : (((~v74(VarCurr)) | (~v26(VarCurr))) | v60(VarCurr)) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 25.08/16.80 inference(quant_intro,[status(thm)],[17167])).
% 25.08/16.80 tff(17169,axiom,(![VarCurr: state_type] : (((~v74(VarCurr)) | (~v26(VarCurr))) | v60(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_16_1_2')).
% 25.08/16.80 tff(17170,plain,
% 25.08/16.80 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17169, 17168])).
% 25.08/16.80 tff(17171,plain,
% 25.08/16.80 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17170, 17166])).
% 25.08/16.80 tff(17172,plain,(
% 25.08/16.80 ![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 25.08/16.80 inference(skolemize,[status(sab)],[17171])).
% 25.08/16.80 tff(17173,plain,
% 25.08/16.80 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17172, 17165])).
% 25.08/16.80 tff(17174,plain,
% 25.08/16.80 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB101) | (~v26(constB101)) | (~v74(constB101)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB101) | (~v26(constB101)) | (~v74(constB101)))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17175,plain,
% 25.08/16.80 (((~v26(constB101)) | v60(constB101) | (~v74(constB101))) <=> (v60(constB101) | (~v26(constB101)) | (~v74(constB101)))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17176,plain,
% 25.08/16.80 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB101)) | v60(constB101) | (~v74(constB101)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB101) | (~v26(constB101)) | (~v74(constB101))))),
% 25.08/16.80 inference(monotonicity,[status(thm)],[17175])).
% 25.08/16.80 tff(17177,plain,
% 25.08/16.80 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB101)) | v60(constB101) | (~v74(constB101)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB101) | (~v26(constB101)) | (~v74(constB101)))),
% 25.08/16.80 inference(transitivity,[status(thm)],[17176, 17174])).
% 25.08/16.80 tff(17178,plain,
% 25.08/16.80 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB101)) | v60(constB101) | (~v74(constB101)))),
% 25.08/16.80 inference(quant_inst,[status(thm)],[])).
% 25.08/16.80 tff(17179,plain,
% 25.08/16.80 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB101) | (~v26(constB101)) | (~v74(constB101))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17178, 17177])).
% 25.08/16.80 tff(17180,plain,
% 25.08/16.80 (v60(constB101) | (~v26(constB101))),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17179, 17173, 17163])).
% 25.08/16.80 tff(17181,plain,
% 25.08/16.80 (~v26(constB101)),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17180, 17082])).
% 25.08/16.80 tff(17182,plain,
% 25.08/16.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | (~v113(constB101)) | v112(constB101))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17183,plain,
% 25.08/16.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))),
% 25.08/16.80 inference(quant_inst,[status(thm)],[])).
% 25.08/16.80 tff(17184,plain,
% 25.08/16.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | (~v113(constB101)) | v112(constB101)),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17183, 17182])).
% 25.08/16.80 tff(17185,plain,
% 25.08/16.80 ((~v113(constB101)) | v112(constB101)),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17184, 1050, 17181])).
% 25.08/16.80 tff(17186,plain,
% 25.08/16.80 (v112(constB101)),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17185, 16955])).
% 25.08/16.80 tff(17187,plain,
% 25.08/16.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB101) | (~v112(constB101)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB101) | (~v112(constB101)))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17188,plain,
% 25.08/16.80 (((~v112(constB101)) | v108(constB101)) <=> (v108(constB101) | (~v112(constB101)))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17189,plain,
% 25.08/16.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB101)) | v108(constB101))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB101) | (~v112(constB101))))),
% 25.08/16.80 inference(monotonicity,[status(thm)],[17188])).
% 25.08/16.80 tff(17190,plain,
% 25.08/16.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB101)) | v108(constB101))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB101) | (~v112(constB101)))),
% 25.08/16.80 inference(transitivity,[status(thm)],[17189, 17187])).
% 25.08/16.80 tff(17191,plain,
% 25.08/16.80 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB101)) | v108(constB101))),
% 25.08/16.80 inference(quant_inst,[status(thm)],[])).
% 25.08/16.80 tff(17192,plain,
% 25.08/16.80 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB101) | (~v112(constB101))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17191, 17190])).
% 25.08/16.80 tff(17193,plain,
% 25.08/16.80 (v108(constB101)),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17192, 1062, 17186])).
% 25.08/16.80 tff(17194,plain,
% 25.08/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17195,plain,
% 25.08/16.80 (((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102)) <=> ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17196,plain,
% 25.08/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101))))),
% 25.08/16.80 inference(monotonicity,[status(thm)],[17195])).
% 25.08/16.80 tff(17197,plain,
% 25.08/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 25.08/16.80 inference(transitivity,[status(thm)],[17196, 17194])).
% 25.08/16.80 tff(17198,plain,
% 25.08/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))),
% 25.08/16.80 inference(quant_inst,[status(thm)],[])).
% 25.08/16.80 tff(17199,plain,
% 25.08/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17198, 17197])).
% 25.08/16.80 tff(17200,plain,
% 25.08/16.80 (v110(constB102) | (~v108(constB101))),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17199, 1082, 17031])).
% 25.08/16.80 tff(17201,plain,
% 25.08/16.80 (v110(constB102)),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17200, 17193])).
% 25.08/16.80 tff(17202,plain,
% 25.08/16.80 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17203,plain,
% 25.08/16.80 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))),
% 25.08/16.80 inference(quant_inst,[status(thm)],[])).
% 25.08/16.80 tff(17204,plain,
% 25.08/16.80 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17203, 17202])).
% 25.08/16.80 tff(17205,plain,
% 25.08/16.80 (~v104(constB102)),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17204, 1100, 17031, 16843])).
% 25.08/16.80 tff(17206,plain,
% 25.08/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17207,plain,
% 25.08/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))),
% 25.08/16.80 inference(quant_inst,[status(thm)],[])).
% 25.08/16.80 tff(17208,plain,
% 25.08/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v102(constB102) | v104(constB102)),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17207, 17206])).
% 25.08/16.80 tff(17209,plain,
% 25.08/16.80 (v102(constB102) | v104(constB102)),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17208, 1114, 17031])).
% 25.08/16.80 tff(17210,plain,
% 25.08/16.80 (v102(constB102)),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17209, 17205])).
% 25.08/16.80 tff(17211,plain,
% 25.08/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17212,plain,
% 25.08/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))),
% 25.08/16.80 inference(quant_inst,[status(thm)],[])).
% 25.08/16.80 tff(17213,plain,
% 25.08/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17212, 17211])).
% 25.08/16.80 tff(17214,plain,
% 25.08/16.80 (v101(constB102) | (~v102(constB102))),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17213, 1129, 17031, 735])).
% 25.08/16.80 tff(17215,plain,
% 25.08/16.80 (v101(constB102)),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17214, 17210])).
% 25.08/16.80 tff(17216,plain,
% 25.08/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17217,plain,
% 25.08/16.80 (((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102)) <=> ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17218,plain,
% 25.08/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102))))),
% 25.08/16.80 inference(monotonicity,[status(thm)],[17217])).
% 25.08/16.80 tff(17219,plain,
% 25.08/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 25.08/16.80 inference(transitivity,[status(thm)],[17218, 17216])).
% 25.08/16.80 tff(17220,plain,
% 25.08/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))),
% 25.08/16.80 inference(quant_inst,[status(thm)],[])).
% 25.08/16.80 tff(17221,plain,
% 25.08/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17220, 17219])).
% 25.08/16.80 tff(17222,plain,
% 25.08/16.80 (v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17221, 1144, 17031])).
% 25.08/16.80 tff(17223,plain,
% 25.08/16.80 (v100(constB102) | (~v110(constB102))),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17222, 17215])).
% 25.08/16.80 tff(17224,plain,
% 25.08/16.80 (v100(constB102)),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17223, 17201])).
% 25.08/16.80 tff(17225,plain,
% 25.08/16.80 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB101)) | v130(constB101, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB101)) | v130(constB101, bitIndex2))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17226,plain,
% 25.08/16.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB101)) | v130(constB101, bitIndex2))),
% 25.08/16.80 inference(quant_inst,[status(thm)],[])).
% 25.08/16.80 tff(17227,plain,
% 25.08/16.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB101)) | v130(constB101, bitIndex2)),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17226, 17225])).
% 25.08/16.80 tff(17228,plain,
% 25.08/16.80 (v130(constB101, bitIndex2)),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17227, 2736, 16933])).
% 25.08/16.80 tff(17229,plain,
% 25.08/16.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB101) | (~v130(constB101, bitIndex2)) | v127(constB101, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB101) | (~v130(constB101, bitIndex2)) | v127(constB101, bitIndex2))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17230,plain,
% 25.08/16.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB101) | (~v130(constB101, bitIndex2)) | v127(constB101, bitIndex2))),
% 25.08/16.80 inference(quant_inst,[status(thm)],[])).
% 25.08/16.80 tff(17231,plain,
% 25.08/16.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB101) | (~v130(constB101, bitIndex2)) | v127(constB101, bitIndex2)),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17230, 17229])).
% 25.08/16.80 tff(17232,plain,
% 25.08/16.80 ((~v130(constB101, bitIndex2)) | v127(constB101, bitIndex2)),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17231, 1174, 17181])).
% 25.08/16.80 tff(17233,plain,
% 25.08/16.80 (v127(constB101, bitIndex2)),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17232, 17228])).
% 25.08/16.80 tff(17234,plain,
% 25.08/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex2)) | v129(constB102, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex2)) | v129(constB102, bitIndex2))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17235,plain,
% 25.08/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex2)) | v129(constB102, bitIndex2))),
% 25.08/16.80 inference(quant_inst,[status(thm)],[])).
% 25.08/16.80 tff(17236,plain,
% 25.08/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex2)) | v129(constB102, bitIndex2)),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17235, 17234])).
% 25.08/16.80 tff(17237,plain,
% 25.08/16.80 ((~v127(constB101, bitIndex2)) | v129(constB102, bitIndex2)),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17236, 1189, 17031])).
% 25.08/16.80 tff(17238,plain,
% 25.08/16.80 (v129(constB102, bitIndex2)),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17237, 17233])).
% 25.08/16.80 tff(17239,plain,
% 25.08/16.80 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102)))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17240,plain,
% 25.08/16.80 ((v90(constB102, bitIndex2) | (~v100(constB102)) | (~v129(constB102, bitIndex2))) <=> (v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102)))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17241,plain,
% 25.08/16.80 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~v100(constB102)) | (~v129(constB102, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102))))),
% 25.08/16.80 inference(monotonicity,[status(thm)],[17240])).
% 25.08/16.80 tff(17242,plain,
% 25.08/16.80 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~v100(constB102)) | (~v129(constB102, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102)))),
% 25.08/16.80 inference(transitivity,[status(thm)],[17241, 17239])).
% 25.08/16.80 tff(17243,plain,
% 25.08/16.80 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~v100(constB102)) | (~v129(constB102, bitIndex2)))),
% 25.08/16.80 inference(quant_inst,[status(thm)],[])).
% 25.08/16.80 tff(17244,plain,
% 25.08/16.80 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17243, 17242])).
% 25.08/16.80 tff(17245,plain,
% 25.08/16.80 (v90(constB102, bitIndex2) | (~v100(constB102))),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17244, 1204, 17238])).
% 25.08/16.80 tff(17246,plain,
% 25.08/16.80 (v90(constB102, bitIndex2)),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17245, 17224])).
% 25.08/16.80 tff(17247,plain,
% 25.08/16.80 ((~v1(constB103)) <=> (~v1(constB103))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17248,axiom,(~v1(constB103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_103_1_1')).
% 25.08/16.80 tff(17249,plain,
% 25.08/16.80 (~v1(constB103)),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17248, 17247])).
% 25.08/16.80 tff(17250,plain,
% 25.08/16.80 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17251,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_102_1')).
% 25.08/16.80 tff(17252,plain,
% 25.08/16.80 (nextState(constB102, constB103)),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17251, 17250])).
% 25.08/16.80 tff(17253,plain,
% 25.08/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17254,plain,
% 25.08/16.80 (((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103)) <=> (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17255,plain,
% 25.08/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103))))),
% 25.08/16.80 inference(monotonicity,[status(thm)],[17254])).
% 25.08/16.80 tff(17256,plain,
% 25.08/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 25.08/16.80 inference(transitivity,[status(thm)],[17255, 17253])).
% 25.08/16.80 tff(17257,plain,
% 25.08/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))),
% 25.08/16.80 inference(quant_inst,[status(thm)],[])).
% 25.08/16.80 tff(17258,plain,
% 25.08/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17257, 17256])).
% 25.08/16.80 tff(17259,plain,
% 25.08/16.80 (~v101(constB103)),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17258, 860, 17252, 17249])).
% 25.08/16.80 tff(17260,plain,
% 25.08/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17261,plain,
% 25.08/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))),
% 25.08/16.80 inference(quant_inst,[status(thm)],[])).
% 25.08/16.80 tff(17262,plain,
% 25.08/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103))),
% 25.08/16.80 inference(modus_ponens,[status(thm)],[17261, 17260])).
% 25.08/16.80 tff(17263,plain,
% 25.08/16.80 (v101(constB103) | (~v100(constB103))),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17262, 877, 17252])).
% 25.08/16.80 tff(17264,plain,
% 25.08/16.80 (~v100(constB103)),
% 25.08/16.80 inference(unit_resolution,[status(thm)],[17263, 17259])).
% 25.08/16.80 tff(17265,plain,
% 25.08/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex2))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17266,plain,
% 25.08/16.80 (((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex2)) | v100(constB103) | v90(constB103, bitIndex2)) <=> ((~v90(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex2))),
% 25.08/16.80 inference(rewrite,[status(thm)],[])).
% 25.08/16.80 tff(17267,plain,
% 25.08/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex2)) | v100(constB103) | v90(constB103, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex2)))),
% 25.08/16.81 inference(monotonicity,[status(thm)],[17266])).
% 25.08/16.81 tff(17268,plain,
% 25.08/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex2)) | v100(constB103) | v90(constB103, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex2))),
% 25.08/16.81 inference(transitivity,[status(thm)],[17267, 17265])).
% 25.08/16.81 tff(17269,plain,
% 25.08/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex2)) | v100(constB103) | v90(constB103, bitIndex2))),
% 25.08/16.81 inference(quant_inst,[status(thm)],[])).
% 25.08/16.81 tff(17270,plain,
% 25.08/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex2)),
% 25.08/16.81 inference(modus_ponens,[status(thm)],[17269, 17268])).
% 25.08/16.81 tff(17271,plain,
% 25.08/16.81 ((~v90(constB102, bitIndex2)) | v100(constB103) | v90(constB103, bitIndex2)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17270, 1240, 17252])).
% 25.08/16.81 tff(17272,plain,
% 25.08/16.81 ((~v90(constB102, bitIndex2)) | v90(constB103, bitIndex2)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17271, 17264])).
% 25.08/16.81 tff(17273,plain,
% 25.08/16.81 (v90(constB103, bitIndex2)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17272, 17246])).
% 25.08/16.81 tff(17274,plain,
% 25.08/16.81 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB101)) | (~v130(constB101, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB101)) | (~v130(constB101, bitIndex1)))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17275,plain,
% 25.08/16.81 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB101)) | (~v130(constB101, bitIndex1)))),
% 25.08/16.81 inference(quant_inst,[status(thm)],[])).
% 25.08/16.81 tff(17276,plain,
% 25.08/16.81 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB101)) | (~v130(constB101, bitIndex1))),
% 25.08/16.81 inference(modus_ponens,[status(thm)],[17275, 17274])).
% 25.08/16.81 tff(17277,plain,
% 25.08/16.81 (~v130(constB101, bitIndex1)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17276, 2792, 16933])).
% 25.08/16.81 tff(17278,plain,
% 25.08/16.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17279,plain,
% 25.08/16.81 ((v26(constB101) | v130(constB101, bitIndex1) | (~v127(constB101, bitIndex1))) <=> ((~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17280,plain,
% 25.08/16.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB101) | v130(constB101, bitIndex1) | (~v127(constB101, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1)))),
% 25.08/16.81 inference(monotonicity,[status(thm)],[17279])).
% 25.08/16.81 tff(17281,plain,
% 25.08/16.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB101) | v130(constB101, bitIndex1) | (~v127(constB101, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1))),
% 25.08/16.81 inference(transitivity,[status(thm)],[17280, 17278])).
% 25.08/16.81 tff(17282,plain,
% 25.08/16.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB101) | v130(constB101, bitIndex1) | (~v127(constB101, bitIndex1)))),
% 25.08/16.81 inference(quant_inst,[status(thm)],[])).
% 25.08/16.81 tff(17283,plain,
% 25.08/16.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1)),
% 25.08/16.81 inference(modus_ponens,[status(thm)],[17282, 17281])).
% 25.08/16.81 tff(17284,plain,
% 25.08/16.81 ((~v127(constB101, bitIndex1)) | v130(constB101, bitIndex1)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17283, 1270, 17181])).
% 25.08/16.81 tff(17285,plain,
% 25.08/16.81 (~v127(constB101, bitIndex1)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17284, 17277])).
% 25.08/16.81 tff(17286,plain,
% 25.08/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex1) | (~v129(constB102, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex1) | (~v129(constB102, bitIndex1)))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17287,plain,
% 25.08/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex1) | (~v129(constB102, bitIndex1)))),
% 25.08/16.81 inference(quant_inst,[status(thm)],[])).
% 25.08/16.81 tff(17288,plain,
% 25.08/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex1) | (~v129(constB102, bitIndex1))),
% 25.08/16.81 inference(modus_ponens,[status(thm)],[17287, 17286])).
% 25.08/16.81 tff(17289,plain,
% 25.08/16.81 (v127(constB101, bitIndex1) | (~v129(constB102, bitIndex1))),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17288, 1288, 17031])).
% 25.08/16.81 tff(17290,plain,
% 25.08/16.81 (~v129(constB102, bitIndex1)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17289, 17285])).
% 25.08/16.81 tff(17291,plain,
% 25.08/16.81 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102)))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17292,plain,
% 25.08/16.81 (((~v90(constB102, bitIndex1)) | (~v100(constB102)) | v129(constB102, bitIndex1)) <=> ((~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102)))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17293,plain,
% 25.08/16.81 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | (~v100(constB102)) | v129(constB102, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102))))),
% 25.08/16.81 inference(monotonicity,[status(thm)],[17292])).
% 25.08/16.81 tff(17294,plain,
% 25.08/16.81 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | (~v100(constB102)) | v129(constB102, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102)))),
% 25.08/16.81 inference(transitivity,[status(thm)],[17293, 17291])).
% 25.08/16.81 tff(17295,plain,
% 25.08/16.81 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | (~v100(constB102)) | v129(constB102, bitIndex1))),
% 25.08/16.81 inference(quant_inst,[status(thm)],[])).
% 25.08/16.81 tff(17296,plain,
% 25.08/16.81 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102))),
% 25.08/16.81 inference(modus_ponens,[status(thm)],[17295, 17294])).
% 25.08/16.81 tff(17297,plain,
% 25.08/16.81 ((~v90(constB102, bitIndex1)) | (~v100(constB102))),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17296, 1303, 17290])).
% 25.08/16.81 tff(17298,plain,
% 25.08/16.81 (~v90(constB102, bitIndex1)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17297, 17224])).
% 25.08/16.81 tff(17299,plain,
% 25.08/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex1)))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17300,plain,
% 25.08/16.81 (((~nextState(constB102, constB103)) | v90(constB102, bitIndex1) | v100(constB103) | (~v90(constB103, bitIndex1))) <=> (v90(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex1)))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17301,plain,
% 25.08/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex1) | v100(constB103) | (~v90(constB103, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex1))))),
% 25.08/16.81 inference(monotonicity,[status(thm)],[17300])).
% 25.08/16.81 tff(17302,plain,
% 25.08/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex1) | v100(constB103) | (~v90(constB103, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex1)))),
% 25.08/16.81 inference(transitivity,[status(thm)],[17301, 17299])).
% 25.08/16.81 tff(17303,plain,
% 25.08/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex1) | v100(constB103) | (~v90(constB103, bitIndex1)))),
% 25.08/16.81 inference(quant_inst,[status(thm)],[])).
% 25.08/16.81 tff(17304,plain,
% 25.08/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex1))),
% 25.08/16.81 inference(modus_ponens,[status(thm)],[17303, 17302])).
% 25.08/16.81 tff(17305,plain,
% 25.08/16.81 (v90(constB102, bitIndex1) | v100(constB103) | (~v90(constB103, bitIndex1))),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17304, 913, 17252])).
% 25.08/16.81 tff(17306,plain,
% 25.08/16.81 (v90(constB102, bitIndex1) | (~v90(constB103, bitIndex1))),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17305, 17264])).
% 25.08/16.81 tff(17307,plain,
% 25.08/16.81 (~v90(constB103, bitIndex1)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17306, 17298])).
% 25.08/16.81 tff(17308,plain,
% 25.08/16.81 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB101)) | (~v130(constB101, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB101)) | (~v130(constB101, bitIndex0)))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17309,plain,
% 25.08/16.81 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB101)) | (~v130(constB101, bitIndex0)))),
% 25.08/16.81 inference(quant_inst,[status(thm)],[])).
% 25.08/16.81 tff(17310,plain,
% 25.08/16.81 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB101)) | (~v130(constB101, bitIndex0))),
% 25.08/16.81 inference(modus_ponens,[status(thm)],[17309, 17308])).
% 25.08/16.81 tff(17311,plain,
% 25.08/16.81 (~v130(constB101, bitIndex0)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17310, 2833, 16933])).
% 25.08/16.81 tff(17312,plain,
% 25.08/16.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17313,plain,
% 25.08/16.81 ((v26(constB101) | v130(constB101, bitIndex0) | (~v127(constB101, bitIndex0))) <=> ((~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17314,plain,
% 25.08/16.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB101) | v130(constB101, bitIndex0) | (~v127(constB101, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0)))),
% 25.08/16.81 inference(monotonicity,[status(thm)],[17313])).
% 25.08/16.81 tff(17315,plain,
% 25.08/16.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB101) | v130(constB101, bitIndex0) | (~v127(constB101, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0))),
% 25.08/16.81 inference(transitivity,[status(thm)],[17314, 17312])).
% 25.08/16.81 tff(17316,plain,
% 25.08/16.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB101) | v130(constB101, bitIndex0) | (~v127(constB101, bitIndex0)))),
% 25.08/16.81 inference(quant_inst,[status(thm)],[])).
% 25.08/16.81 tff(17317,plain,
% 25.08/16.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0)),
% 25.08/16.81 inference(modus_ponens,[status(thm)],[17316, 17315])).
% 25.08/16.81 tff(17318,plain,
% 25.08/16.81 ((~v127(constB101, bitIndex0)) | v130(constB101, bitIndex0)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17317, 1341, 17181])).
% 25.08/16.81 tff(17319,plain,
% 25.08/16.81 (~v127(constB101, bitIndex0)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17318, 17311])).
% 25.08/16.81 tff(17320,plain,
% 25.08/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex0) | (~v129(constB102, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex0) | (~v129(constB102, bitIndex0)))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17321,plain,
% 25.08/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex0) | (~v129(constB102, bitIndex0)))),
% 25.08/16.81 inference(quant_inst,[status(thm)],[])).
% 25.08/16.81 tff(17322,plain,
% 25.08/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex0) | (~v129(constB102, bitIndex0))),
% 25.08/16.81 inference(modus_ponens,[status(thm)],[17321, 17320])).
% 25.08/16.81 tff(17323,plain,
% 25.08/16.81 (v127(constB101, bitIndex0) | (~v129(constB102, bitIndex0))),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17322, 1359, 17031])).
% 25.08/16.81 tff(17324,plain,
% 25.08/16.81 (~v129(constB102, bitIndex0)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17323, 17319])).
% 25.08/16.81 tff(17325,plain,
% 25.08/16.81 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102)))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17326,plain,
% 25.08/16.81 (((~v90(constB102, bitIndex0)) | (~v100(constB102)) | v129(constB102, bitIndex0)) <=> ((~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102)))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17327,plain,
% 25.08/16.81 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | (~v100(constB102)) | v129(constB102, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102))))),
% 25.08/16.81 inference(monotonicity,[status(thm)],[17326])).
% 25.08/16.81 tff(17328,plain,
% 25.08/16.81 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | (~v100(constB102)) | v129(constB102, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102)))),
% 25.08/16.81 inference(transitivity,[status(thm)],[17327, 17325])).
% 25.08/16.81 tff(17329,plain,
% 25.08/16.81 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | (~v100(constB102)) | v129(constB102, bitIndex0))),
% 25.08/16.81 inference(quant_inst,[status(thm)],[])).
% 25.08/16.81 tff(17330,plain,
% 25.08/16.81 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102))),
% 25.08/16.81 inference(modus_ponens,[status(thm)],[17329, 17328])).
% 25.08/16.81 tff(17331,plain,
% 25.08/16.81 ((~v90(constB102, bitIndex0)) | (~v100(constB102))),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17330, 1374, 17324])).
% 25.08/16.81 tff(17332,plain,
% 25.08/16.81 (~v90(constB102, bitIndex0)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17331, 17224])).
% 25.08/16.81 tff(17333,plain,
% 25.08/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex0)))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17334,plain,
% 25.08/16.81 (((~nextState(constB102, constB103)) | v90(constB102, bitIndex0) | v100(constB103) | (~v90(constB103, bitIndex0))) <=> (v90(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex0)))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17335,plain,
% 25.08/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex0) | v100(constB103) | (~v90(constB103, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex0))))),
% 25.08/16.81 inference(monotonicity,[status(thm)],[17334])).
% 25.08/16.81 tff(17336,plain,
% 25.08/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex0) | v100(constB103) | (~v90(constB103, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex0)))),
% 25.08/16.81 inference(transitivity,[status(thm)],[17335, 17333])).
% 25.08/16.81 tff(17337,plain,
% 25.08/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex0) | v100(constB103) | (~v90(constB103, bitIndex0)))),
% 25.08/16.81 inference(quant_inst,[status(thm)],[])).
% 25.08/16.81 tff(17338,plain,
% 25.08/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex0))),
% 25.08/16.81 inference(modus_ponens,[status(thm)],[17337, 17336])).
% 25.08/16.81 tff(17339,plain,
% 25.08/16.81 (v90(constB102, bitIndex0) | v100(constB103) | (~v90(constB103, bitIndex0))),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17338, 934, 17252])).
% 25.08/16.81 tff(17340,plain,
% 25.08/16.81 (v90(constB102, bitIndex0) | (~v90(constB103, bitIndex0))),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17339, 17264])).
% 25.08/16.81 tff(17341,plain,
% 25.08/16.81 (~v90(constB103, bitIndex0)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17340, 17332])).
% 25.08/16.81 tff(17342,plain,
% 25.08/16.81 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)) | v123(constB103))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)) | v123(constB103))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17343,plain,
% 25.08/16.81 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)) | v123(constB103))),
% 25.08/16.81 inference(quant_inst,[status(thm)],[])).
% 25.08/16.81 tff(17344,plain,
% 25.08/16.81 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)) | v123(constB103)),
% 25.08/16.81 inference(modus_ponens,[status(thm)],[17343, 17342])).
% 25.08/16.81 tff(17345,plain,
% 25.08/16.81 (v123(constB103)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17344, 1401, 17341, 17307, 17273])).
% 25.08/16.81 tff(17346,plain,
% 25.08/16.81 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB103)) | v130(constB103, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB103)) | v130(constB103, bitIndex2))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17347,plain,
% 25.08/16.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB103)) | v130(constB103, bitIndex2))),
% 25.08/16.81 inference(quant_inst,[status(thm)],[])).
% 25.08/16.81 tff(17348,plain,
% 25.08/16.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB103)) | v130(constB103, bitIndex2)),
% 25.08/16.81 inference(modus_ponens,[status(thm)],[17347, 17346])).
% 25.08/16.81 tff(17349,plain,
% 25.08/16.81 (v130(constB103, bitIndex2)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17348, 1483, 17345])).
% 25.08/16.81 tff(17350,assumption,(v26(constB103)), introduced(assumption)).
% 25.08/16.81 tff(17351,plain,
% 25.08/16.81 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB103))),
% 25.08/16.81 inference(quant_inst,[status(thm)],[])).
% 25.08/16.81 tff(17352,plain,
% 25.08/16.81 ($false),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17351, 797, 17350])).
% 25.08/16.81 tff(17353,plain,(~v26(constB103)), inference(lemma,lemma(discharge,[]))).
% 25.08/16.81 tff(17354,plain,
% 25.08/16.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17355,plain,
% 25.08/16.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2))),
% 25.08/16.81 inference(quant_inst,[status(thm)],[])).
% 25.08/16.81 tff(17356,plain,
% 25.08/16.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2)),
% 25.08/16.81 inference(modus_ponens,[status(thm)],[17355, 17354])).
% 25.08/16.81 tff(17357,plain,
% 25.08/16.81 ((~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17356, 1174, 17353])).
% 25.08/16.81 tff(17358,plain,
% 25.08/16.81 (v127(constB103, bitIndex2)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17357, 17349])).
% 25.08/16.81 tff(17359,plain,
% 25.08/16.81 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17360,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_103_1')).
% 25.08/16.81 tff(17361,plain,
% 25.08/16.81 (nextState(constB103, constB104)),
% 25.08/16.81 inference(modus_ponens,[status(thm)],[17360, 17359])).
% 25.08/16.81 tff(17362,plain,
% 25.08/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17363,plain,
% 25.08/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2))),
% 25.08/16.81 inference(quant_inst,[status(thm)],[])).
% 25.08/16.81 tff(17364,plain,
% 25.08/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2)),
% 25.08/16.81 inference(modus_ponens,[status(thm)],[17363, 17362])).
% 25.08/16.81 tff(17365,plain,
% 25.08/16.81 ((~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17364, 1189, 17361])).
% 25.08/16.81 tff(17366,plain,
% 25.08/16.81 (v129(constB104, bitIndex2)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17365, 17358])).
% 25.08/16.81 tff(17367,assumption,(~v113(constB103)), introduced(assumption)).
% 25.08/16.81 tff(17368,plain,
% 25.08/16.81 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB103)) | v113(constB103))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB103)) | v113(constB103))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17369,plain,
% 25.08/16.81 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB103)) | v113(constB103))),
% 25.08/16.81 inference(quant_inst,[status(thm)],[])).
% 25.08/16.81 tff(17370,plain,
% 25.08/16.81 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB103)) | v113(constB103)),
% 25.08/16.81 inference(modus_ponens,[status(thm)],[17369, 17368])).
% 25.08/16.81 tff(17371,plain,
% 25.08/16.81 (~v114(constB103)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17370, 1036, 17367])).
% 25.08/16.81 tff(17372,plain,
% 25.08/16.81 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB103)) | v114(constB103))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB103)) | v114(constB103))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17373,plain,
% 25.08/16.81 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB103)) | v114(constB103))),
% 25.08/16.81 inference(quant_inst,[status(thm)],[])).
% 25.08/16.81 tff(17374,plain,
% 25.08/16.81 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB103)) | v114(constB103)),
% 25.08/16.81 inference(modus_ponens,[status(thm)],[17373, 17372])).
% 25.08/16.81 tff(17375,plain,
% 25.08/16.81 (~v115(constB103)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17374, 1022, 17371])).
% 25.08/16.81 tff(17376,plain,
% 25.08/16.81 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB103)) | v115(constB103))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB103)) | v115(constB103))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17377,plain,
% 25.08/16.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB103)) | v115(constB103))),
% 25.08/16.81 inference(quant_inst,[status(thm)],[])).
% 25.08/16.81 tff(17378,plain,
% 25.08/16.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB103)) | v115(constB103)),
% 25.08/16.81 inference(modus_ponens,[status(thm)],[17377, 17376])).
% 25.08/16.81 tff(17379,plain,
% 25.08/16.81 (~v123(constB103)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17378, 1412, 17375])).
% 25.08/16.81 tff(17380,plain,
% 25.08/16.81 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB103) | (~v116(constB103)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB103) | (~v116(constB103)))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17381,plain,
% 25.08/16.81 (((~v116(constB103)) | v115(constB103)) <=> (v115(constB103) | (~v116(constB103)))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17382,plain,
% 25.08/16.81 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB103)) | v115(constB103))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB103) | (~v116(constB103))))),
% 25.08/16.81 inference(monotonicity,[status(thm)],[17381])).
% 25.08/16.81 tff(17383,plain,
% 25.08/16.81 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB103)) | v115(constB103))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB103) | (~v116(constB103)))),
% 25.08/16.81 inference(transitivity,[status(thm)],[17382, 17380])).
% 25.08/16.81 tff(17384,plain,
% 25.08/16.81 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB103)) | v115(constB103))),
% 25.08/16.81 inference(quant_inst,[status(thm)],[])).
% 25.08/16.81 tff(17385,plain,
% 25.08/16.81 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB103) | (~v116(constB103))),
% 25.08/16.81 inference(modus_ponens,[status(thm)],[17384, 17383])).
% 25.08/16.81 tff(17386,plain,
% 25.08/16.81 (~v116(constB103)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17385, 1008, 17375])).
% 25.08/16.81 tff(17387,plain,
% 25.08/16.81 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB103) | (~v117(constB103)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB103) | (~v117(constB103)))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17388,plain,
% 25.08/16.81 (((~v117(constB103)) | v116(constB103)) <=> (v116(constB103) | (~v117(constB103)))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17389,plain,
% 25.08/16.81 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB103)) | v116(constB103))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB103) | (~v117(constB103))))),
% 25.08/16.81 inference(monotonicity,[status(thm)],[17388])).
% 25.08/16.81 tff(17390,plain,
% 25.08/16.81 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB103)) | v116(constB103))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB103) | (~v117(constB103)))),
% 25.08/16.81 inference(transitivity,[status(thm)],[17389, 17387])).
% 25.08/16.81 tff(17391,plain,
% 25.08/16.81 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB103)) | v116(constB103))),
% 25.08/16.81 inference(quant_inst,[status(thm)],[])).
% 25.08/16.81 tff(17392,plain,
% 25.08/16.81 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB103) | (~v117(constB103))),
% 25.08/16.81 inference(modus_ponens,[status(thm)],[17391, 17390])).
% 25.08/16.81 tff(17393,plain,
% 25.08/16.81 (~v117(constB103)),
% 25.08/16.81 inference(unit_resolution,[status(thm)],[17392, 994, 17386])).
% 25.08/16.81 tff(17394,plain,
% 25.08/16.81 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB103) | (~v121(constB103)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB103) | (~v121(constB103)))),
% 25.08/16.81 inference(rewrite,[status(thm)],[])).
% 25.08/16.81 tff(17395,plain,
% 25.08/16.82 (((~v121(constB103)) | v117(constB103)) <=> (v117(constB103) | (~v121(constB103)))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17396,plain,
% 25.08/16.82 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB103)) | v117(constB103))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB103) | (~v121(constB103))))),
% 25.08/16.82 inference(monotonicity,[status(thm)],[17395])).
% 25.08/16.82 tff(17397,plain,
% 25.08/16.82 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB103)) | v117(constB103))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB103) | (~v121(constB103)))),
% 25.08/16.82 inference(transitivity,[status(thm)],[17396, 17394])).
% 25.08/16.82 tff(17398,plain,
% 25.08/16.82 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB103)) | v117(constB103))),
% 25.08/16.82 inference(quant_inst,[status(thm)],[])).
% 25.08/16.82 tff(17399,plain,
% 25.08/16.82 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB103) | (~v121(constB103))),
% 25.08/16.82 inference(modus_ponens,[status(thm)],[17398, 17397])).
% 25.08/16.82 tff(17400,plain,
% 25.08/16.82 (~v121(constB103)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17399, 2102, 17393])).
% 25.08/16.82 tff(17401,assumption,(~v90(constB103, bitIndex0)), introduced(assumption)).
% 25.08/16.82 tff(17402,plain,
% 25.08/16.82 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB103) | (~v118(constB103)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB103) | (~v118(constB103)))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17403,plain,
% 25.08/16.82 (((~v118(constB103)) | v117(constB103)) <=> (v117(constB103) | (~v118(constB103)))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17404,plain,
% 25.08/16.82 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB103)) | v117(constB103))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB103) | (~v118(constB103))))),
% 25.08/16.82 inference(monotonicity,[status(thm)],[17403])).
% 25.08/16.82 tff(17405,plain,
% 25.08/16.82 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB103)) | v117(constB103))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB103) | (~v118(constB103)))),
% 25.08/16.82 inference(transitivity,[status(thm)],[17404, 17402])).
% 25.08/16.82 tff(17406,plain,
% 25.08/16.82 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB103)) | v117(constB103))),
% 25.08/16.82 inference(quant_inst,[status(thm)],[])).
% 25.08/16.82 tff(17407,plain,
% 25.08/16.82 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB103) | (~v118(constB103))),
% 25.08/16.82 inference(modus_ponens,[status(thm)],[17406, 17405])).
% 25.08/16.82 tff(17408,plain,
% 25.08/16.82 (~v118(constB103)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17407, 980, 17393])).
% 25.08/16.82 tff(17409,plain,
% 25.08/16.82 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB103)) | v118(constB103))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB103)) | v118(constB103))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17410,plain,
% 25.08/16.82 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB103)) | v118(constB103))),
% 25.08/16.82 inference(quant_inst,[status(thm)],[])).
% 25.08/16.82 tff(17411,plain,
% 25.08/16.82 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB103)) | v118(constB103)),
% 25.08/16.82 inference(modus_ponens,[status(thm)],[17410, 17409])).
% 25.08/16.82 tff(17412,plain,
% 25.08/16.82 (~v119(constB103)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17411, 969, 17408])).
% 25.08/16.82 tff(17413,assumption,(~v119(constB103)), introduced(assumption)).
% 25.08/16.82 tff(17414,assumption,(~v90(constB103, bitIndex2)), introduced(assumption)).
% 25.08/16.82 tff(17415,assumption,(~v121(constB103)), introduced(assumption)).
% 25.08/16.82 tff(17416,plain,
% 25.08/16.82 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v121(constB103))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v121(constB103))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17417,plain,
% 25.08/16.82 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v121(constB103))),
% 25.08/16.82 inference(quant_inst,[status(thm)],[])).
% 25.08/16.82 tff(17418,plain,
% 25.08/16.82 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v121(constB103)),
% 25.08/16.82 inference(modus_ponens,[status(thm)],[17417, 17416])).
% 25.08/16.82 tff(17419,plain,
% 25.08/16.82 ((~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v121(constB103)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17418, 2145, 17401])).
% 25.08/16.82 tff(17420,plain,
% 25.08/16.82 (~v90(constB103, bitIndex1)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17419, 17414, 17415])).
% 25.08/16.82 tff(17421,plain,
% 25.08/16.82 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | v90(constB103, bitIndex2) | v119(constB103))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | v90(constB103, bitIndex2) | v119(constB103))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17422,plain,
% 25.08/16.82 ((v90(constB103, bitIndex0) | v119(constB103) | v90(constB103, bitIndex1) | v90(constB103, bitIndex2)) <=> (v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | v90(constB103, bitIndex2) | v119(constB103))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17423,plain,
% 25.08/16.82 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB103, bitIndex0) | v119(constB103) | v90(constB103, bitIndex1) | v90(constB103, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | v90(constB103, bitIndex2) | v119(constB103)))),
% 25.08/16.82 inference(monotonicity,[status(thm)],[17422])).
% 25.08/16.82 tff(17424,plain,
% 25.08/16.82 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB103, bitIndex0) | v119(constB103) | v90(constB103, bitIndex1) | v90(constB103, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | v90(constB103, bitIndex2) | v119(constB103))),
% 25.08/16.82 inference(transitivity,[status(thm)],[17423, 17421])).
% 25.08/16.82 tff(17425,plain,
% 25.08/16.82 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB103, bitIndex0) | v119(constB103) | v90(constB103, bitIndex1) | v90(constB103, bitIndex2))),
% 25.08/16.82 inference(quant_inst,[status(thm)],[])).
% 25.08/16.82 tff(17426,plain,
% 25.08/16.82 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | v90(constB103, bitIndex2) | v119(constB103)),
% 25.08/16.82 inference(modus_ponens,[status(thm)],[17425, 17424])).
% 25.08/16.82 tff(17427,plain,
% 25.08/16.82 (v90(constB103, bitIndex1) | v90(constB103, bitIndex2) | v119(constB103)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17426, 955, 17401])).
% 25.08/16.82 tff(17428,plain,
% 25.08/16.82 ($false),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17427, 17420, 17414, 17413])).
% 25.08/16.82 tff(17429,plain,(v90(constB103, bitIndex2) | v119(constB103) | v90(constB103, bitIndex0) | v121(constB103)), inference(lemma,lemma(discharge,[]))).
% 25.08/16.82 tff(17430,plain,
% 25.08/16.82 (v90(constB103, bitIndex2)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17429, 17412, 17401, 17400])).
% 25.08/16.82 tff(17431,plain,
% 25.08/16.82 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB103)) | v113(constB103))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB103)) | v113(constB103))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17432,plain,
% 25.08/16.82 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB103)) | v113(constB103))),
% 25.08/16.82 inference(quant_inst,[status(thm)],[])).
% 25.08/16.82 tff(17433,plain,
% 25.08/16.82 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB103)) | v113(constB103)),
% 25.08/16.82 inference(modus_ponens,[status(thm)],[17432, 17431])).
% 25.08/16.82 tff(17434,plain,
% 25.08/16.82 (~v125(constB103)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17433, 1672, 17367])).
% 25.08/16.82 tff(17435,plain,
% 25.08/16.82 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex2)) | v125(constB103))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex2)) | v125(constB103))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17436,plain,
% 25.08/16.82 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex2)) | v125(constB103))),
% 25.08/16.82 inference(quant_inst,[status(thm)],[])).
% 25.08/16.82 tff(17437,plain,
% 25.08/16.82 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex2)) | v125(constB103)),
% 25.08/16.82 inference(modus_ponens,[status(thm)],[17436, 17435])).
% 25.08/16.82 tff(17438,plain,
% 25.08/16.82 ((~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex2)) | v125(constB103)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17437, 1661, 17401])).
% 25.08/16.82 tff(17439,plain,
% 25.08/16.82 (~v90(constB103, bitIndex1)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17438, 17430, 17434])).
% 25.08/16.82 tff(17440,plain,
% 25.08/16.82 (v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)) | v123(constB103)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17344, 1401, 17401])).
% 25.08/16.82 tff(17441,plain,
% 25.08/16.82 ($false),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17440, 17439, 17430, 17379])).
% 25.08/16.82 tff(17442,plain,(v113(constB103) | v90(constB103, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.08/16.82 tff(17443,plain,
% 25.08/16.82 (v113(constB103)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17442, 17341])).
% 25.08/16.82 tff(17444,plain,
% 25.08/16.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | v112(constB103) | (~v113(constB103)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | v112(constB103) | (~v113(constB103)))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17445,plain,
% 25.08/16.82 ((v26(constB103) | (~v113(constB103)) | v112(constB103)) <=> (v26(constB103) | v112(constB103) | (~v113(constB103)))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17446,plain,
% 25.08/16.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | v112(constB103) | (~v113(constB103))))),
% 25.08/16.82 inference(monotonicity,[status(thm)],[17445])).
% 25.08/16.82 tff(17447,plain,
% 25.08/16.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | v112(constB103) | (~v113(constB103)))),
% 25.08/16.82 inference(transitivity,[status(thm)],[17446, 17444])).
% 25.08/16.82 tff(17448,plain,
% 25.08/16.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))),
% 25.08/16.82 inference(quant_inst,[status(thm)],[])).
% 25.08/16.82 tff(17449,plain,
% 25.08/16.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | v112(constB103) | (~v113(constB103))),
% 25.08/16.82 inference(modus_ponens,[status(thm)],[17448, 17447])).
% 25.08/16.82 tff(17450,plain,
% 25.08/16.82 (v112(constB103) | (~v113(constB103))),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17449, 1050, 17353])).
% 25.08/16.82 tff(17451,plain,
% 25.08/16.82 (v112(constB103)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17450, 17443])).
% 25.08/16.82 tff(17452,plain,
% 25.08/16.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB103) | (~v112(constB103)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v112(constB103)))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17453,plain,
% 25.08/16.82 (((~v112(constB103)) | v108(constB103)) <=> (v108(constB103) | (~v112(constB103)))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17454,plain,
% 25.08/16.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB103)) | v108(constB103))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB103) | (~v112(constB103))))),
% 25.08/16.82 inference(monotonicity,[status(thm)],[17453])).
% 25.08/16.82 tff(17455,plain,
% 25.08/16.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB103)) | v108(constB103))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v112(constB103)))),
% 25.08/16.82 inference(transitivity,[status(thm)],[17454, 17452])).
% 25.08/16.82 tff(17456,plain,
% 25.08/16.82 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB103)) | v108(constB103))),
% 25.08/16.82 inference(quant_inst,[status(thm)],[])).
% 25.08/16.82 tff(17457,plain,
% 25.08/16.82 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v112(constB103))),
% 25.08/16.82 inference(modus_ponens,[status(thm)],[17456, 17455])).
% 25.08/16.82 tff(17458,plain,
% 25.08/16.82 (v108(constB103)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17457, 1062, 17451])).
% 25.08/16.82 tff(17459,plain,
% 25.08/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17460,plain,
% 25.08/16.82 (((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104)) <=> ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17461,plain,
% 25.08/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103))))),
% 25.08/16.82 inference(monotonicity,[status(thm)],[17460])).
% 25.08/16.82 tff(17462,plain,
% 25.08/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 25.08/16.82 inference(transitivity,[status(thm)],[17461, 17459])).
% 25.08/16.82 tff(17463,plain,
% 25.08/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))),
% 25.08/16.82 inference(quant_inst,[status(thm)],[])).
% 25.08/16.82 tff(17464,plain,
% 25.08/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103))),
% 25.08/16.82 inference(modus_ponens,[status(thm)],[17463, 17462])).
% 25.08/16.82 tff(17465,plain,
% 25.08/16.82 (v110(constB104) | (~v108(constB103))),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17464, 1082, 17361])).
% 25.08/16.82 tff(17466,plain,
% 25.08/16.82 (v110(constB104)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17465, 17458])).
% 25.08/16.82 tff(17467,plain,
% 25.08/16.82 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17468,plain,
% 25.08/16.82 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))),
% 25.08/16.82 inference(quant_inst,[status(thm)],[])).
% 25.08/16.82 tff(17469,plain,
% 25.08/16.82 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104))),
% 25.08/16.82 inference(modus_ponens,[status(thm)],[17468, 17467])).
% 25.08/16.82 tff(17470,plain,
% 25.08/16.82 (~v104(constB104)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17469, 1100, 17361, 17249])).
% 25.08/16.82 tff(17471,plain,
% 25.08/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17472,plain,
% 25.08/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))),
% 25.08/16.82 inference(quant_inst,[status(thm)],[])).
% 25.08/16.82 tff(17473,plain,
% 25.08/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v102(constB104) | v104(constB104)),
% 25.08/16.82 inference(modus_ponens,[status(thm)],[17472, 17471])).
% 25.08/16.82 tff(17474,plain,
% 25.08/16.82 (v102(constB104) | v104(constB104)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17473, 1114, 17361])).
% 25.08/16.82 tff(17475,plain,
% 25.08/16.82 (v102(constB104)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17474, 17470])).
% 25.08/16.82 tff(17476,plain,
% 25.08/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17477,plain,
% 25.08/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))),
% 25.08/16.82 inference(quant_inst,[status(thm)],[])).
% 25.08/16.82 tff(17478,plain,
% 25.08/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104))),
% 25.08/16.82 inference(modus_ponens,[status(thm)],[17477, 17476])).
% 25.08/16.82 tff(17479,plain,
% 25.08/16.82 (v101(constB104) | (~v102(constB104))),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17478, 1129, 17361, 482])).
% 25.08/16.82 tff(17480,plain,
% 25.08/16.82 (v101(constB104)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17479, 17475])).
% 25.08/16.82 tff(17481,plain,
% 25.08/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17482,plain,
% 25.08/16.82 (((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104)) <=> ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17483,plain,
% 25.08/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104))))),
% 25.08/16.82 inference(monotonicity,[status(thm)],[17482])).
% 25.08/16.82 tff(17484,plain,
% 25.08/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 25.08/16.82 inference(transitivity,[status(thm)],[17483, 17481])).
% 25.08/16.82 tff(17485,plain,
% 25.08/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))),
% 25.08/16.82 inference(quant_inst,[status(thm)],[])).
% 25.08/16.82 tff(17486,plain,
% 25.08/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 25.08/16.82 inference(modus_ponens,[status(thm)],[17485, 17484])).
% 25.08/16.82 tff(17487,plain,
% 25.08/16.82 (v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17486, 1144, 17361])).
% 25.08/16.82 tff(17488,plain,
% 25.08/16.82 (v100(constB104) | (~v110(constB104))),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17487, 17480])).
% 25.08/16.82 tff(17489,plain,
% 25.08/16.82 (v100(constB104)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17488, 17466])).
% 25.08/16.82 tff(17490,plain,
% 25.08/16.82 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17491,plain,
% 25.08/16.82 ((v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2))) <=> (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17492,plain,
% 25.08/16.82 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104))))),
% 25.08/16.82 inference(monotonicity,[status(thm)],[17491])).
% 25.08/16.82 tff(17493,plain,
% 25.08/16.82 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))),
% 25.08/16.82 inference(transitivity,[status(thm)],[17492, 17490])).
% 25.08/16.82 tff(17494,plain,
% 25.08/16.82 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2)))),
% 25.08/16.82 inference(quant_inst,[status(thm)],[])).
% 25.08/16.82 tff(17495,plain,
% 25.08/16.82 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104))),
% 25.08/16.82 inference(modus_ponens,[status(thm)],[17494, 17493])).
% 25.08/16.82 tff(17496,plain,
% 25.08/16.82 (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2))),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17495, 1204, 17489])).
% 25.08/16.82 tff(17497,plain,
% 25.08/16.82 (v90(constB104, bitIndex2)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17496, 17366])).
% 25.08/16.82 tff(17498,plain,
% 25.08/16.82 ((~v1(constB105)) <=> (~v1(constB105))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17499,axiom,(~v1(constB105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_105_1_1')).
% 25.08/16.82 tff(17500,plain,
% 25.08/16.82 (~v1(constB105)),
% 25.08/16.82 inference(modus_ponens,[status(thm)],[17499, 17498])).
% 25.08/16.82 tff(17501,plain,
% 25.08/16.82 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17502,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_104_1')).
% 25.08/16.82 tff(17503,plain,
% 25.08/16.82 (nextState(constB104, constB105)),
% 25.08/16.82 inference(modus_ponens,[status(thm)],[17502, 17501])).
% 25.08/16.82 tff(17504,plain,
% 25.08/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17505,plain,
% 25.08/16.82 (((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105)) <=> (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17506,plain,
% 25.08/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105))))),
% 25.08/16.82 inference(monotonicity,[status(thm)],[17505])).
% 25.08/16.82 tff(17507,plain,
% 25.08/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 25.08/16.82 inference(transitivity,[status(thm)],[17506, 17504])).
% 25.08/16.82 tff(17508,plain,
% 25.08/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))),
% 25.08/16.82 inference(quant_inst,[status(thm)],[])).
% 25.08/16.82 tff(17509,plain,
% 25.08/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105))),
% 25.08/16.82 inference(modus_ponens,[status(thm)],[17508, 17507])).
% 25.08/16.82 tff(17510,plain,
% 25.08/16.82 (~v101(constB105)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17509, 860, 17503, 17500])).
% 25.08/16.82 tff(17511,plain,
% 25.08/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17512,plain,
% 25.08/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))),
% 25.08/16.82 inference(quant_inst,[status(thm)],[])).
% 25.08/16.82 tff(17513,plain,
% 25.08/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105))),
% 25.08/16.82 inference(modus_ponens,[status(thm)],[17512, 17511])).
% 25.08/16.82 tff(17514,plain,
% 25.08/16.82 (v101(constB105) | (~v100(constB105))),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17513, 877, 17503])).
% 25.08/16.82 tff(17515,plain,
% 25.08/16.82 (~v100(constB105)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17514, 17510])).
% 25.08/16.82 tff(17516,plain,
% 25.08/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17517,plain,
% 25.08/16.82 (((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2)) <=> ((~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17518,plain,
% 25.08/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2)))),
% 25.08/16.82 inference(monotonicity,[status(thm)],[17517])).
% 25.08/16.82 tff(17519,plain,
% 25.08/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))),
% 25.08/16.82 inference(transitivity,[status(thm)],[17518, 17516])).
% 25.08/16.82 tff(17520,plain,
% 25.08/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2))),
% 25.08/16.82 inference(quant_inst,[status(thm)],[])).
% 25.08/16.82 tff(17521,plain,
% 25.08/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2)),
% 25.08/16.82 inference(modus_ponens,[status(thm)],[17520, 17519])).
% 25.08/16.82 tff(17522,plain,
% 25.08/16.82 ((~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17521, 1240, 17503])).
% 25.08/16.82 tff(17523,plain,
% 25.08/16.82 ((~v90(constB104, bitIndex2)) | v90(constB105, bitIndex2)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17522, 17515])).
% 25.08/16.82 tff(17524,plain,
% 25.08/16.82 (v90(constB105, bitIndex2)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17523, 17497])).
% 25.08/16.82 tff(17525,plain,
% 25.08/16.82 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB103)) | v130(constB103, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB103)) | v130(constB103, bitIndex1))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17526,plain,
% 25.08/16.82 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB103)) | v130(constB103, bitIndex1))),
% 25.08/16.82 inference(quant_inst,[status(thm)],[])).
% 25.08/16.82 tff(17527,plain,
% 25.08/16.82 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB103)) | v130(constB103, bitIndex1)),
% 25.08/16.82 inference(modus_ponens,[status(thm)],[17526, 17525])).
% 25.08/16.82 tff(17528,plain,
% 25.08/16.82 (v130(constB103, bitIndex1)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17527, 1539, 17345])).
% 25.08/16.82 tff(17529,plain,
% 25.08/16.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB103) | (~v130(constB103, bitIndex1)) | v127(constB103, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB103) | (~v130(constB103, bitIndex1)) | v127(constB103, bitIndex1))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17530,plain,
% 25.08/16.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB103) | (~v130(constB103, bitIndex1)) | v127(constB103, bitIndex1))),
% 25.08/16.82 inference(quant_inst,[status(thm)],[])).
% 25.08/16.82 tff(17531,plain,
% 25.08/16.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB103) | (~v130(constB103, bitIndex1)) | v127(constB103, bitIndex1)),
% 25.08/16.82 inference(modus_ponens,[status(thm)],[17530, 17529])).
% 25.08/16.82 tff(17532,plain,
% 25.08/16.82 ((~v130(constB103, bitIndex1)) | v127(constB103, bitIndex1)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17531, 1553, 17353])).
% 25.08/16.82 tff(17533,plain,
% 25.08/16.82 (v127(constB103, bitIndex1)),
% 25.08/16.82 inference(unit_resolution,[status(thm)],[17532, 17528])).
% 25.08/16.82 tff(17534,plain,
% 25.08/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB103, constB104)) | (~v127(constB103, bitIndex1)) | v129(constB104, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB103, constB104)) | (~v127(constB103, bitIndex1)) | v129(constB104, bitIndex1))),
% 25.08/16.82 inference(rewrite,[status(thm)],[])).
% 25.08/16.82 tff(17535,plain,
% 25.08/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB103, constB104)) | (~v127(constB103, bitIndex1)) | v129(constB104, bitIndex1))),
% 25.08/16.83 inference(quant_inst,[status(thm)],[])).
% 25.08/16.83 tff(17536,plain,
% 25.08/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB103, constB104)) | (~v127(constB103, bitIndex1)) | v129(constB104, bitIndex1)),
% 25.08/16.83 inference(modus_ponens,[status(thm)],[17535, 17534])).
% 25.08/16.83 tff(17537,plain,
% 25.08/16.83 ((~v127(constB103, bitIndex1)) | v129(constB104, bitIndex1)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17536, 1568, 17361])).
% 25.08/16.83 tff(17538,plain,
% 25.08/16.83 (v129(constB104, bitIndex1)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17537, 17533])).
% 25.08/16.83 tff(17539,plain,
% 25.08/16.83 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB104, bitIndex1) | (~v129(constB104, bitIndex1)) | (~v100(constB104)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB104, bitIndex1) | (~v129(constB104, bitIndex1)) | (~v100(constB104)))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17540,plain,
% 25.08/16.83 ((v90(constB104, bitIndex1) | (~v100(constB104)) | (~v129(constB104, bitIndex1))) <=> (v90(constB104, bitIndex1) | (~v129(constB104, bitIndex1)) | (~v100(constB104)))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17541,plain,
% 25.08/16.83 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB104, bitIndex1) | (~v100(constB104)) | (~v129(constB104, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB104, bitIndex1) | (~v129(constB104, bitIndex1)) | (~v100(constB104))))),
% 25.08/16.83 inference(monotonicity,[status(thm)],[17540])).
% 25.08/16.83 tff(17542,plain,
% 25.08/16.83 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB104, bitIndex1) | (~v100(constB104)) | (~v129(constB104, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB104, bitIndex1) | (~v129(constB104, bitIndex1)) | (~v100(constB104)))),
% 25.08/16.83 inference(transitivity,[status(thm)],[17541, 17539])).
% 25.08/16.83 tff(17543,plain,
% 25.08/16.83 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB104, bitIndex1) | (~v100(constB104)) | (~v129(constB104, bitIndex1)))),
% 25.08/16.83 inference(quant_inst,[status(thm)],[])).
% 25.08/16.83 tff(17544,plain,
% 25.08/16.83 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB104, bitIndex1) | (~v129(constB104, bitIndex1)) | (~v100(constB104))),
% 25.08/16.83 inference(modus_ponens,[status(thm)],[17543, 17542])).
% 25.08/16.83 tff(17545,plain,
% 25.08/16.83 (v90(constB104, bitIndex1) | (~v129(constB104, bitIndex1))),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17544, 1583, 17489])).
% 25.08/16.83 tff(17546,plain,
% 25.08/16.83 (v90(constB104, bitIndex1)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17545, 17538])).
% 25.08/16.83 tff(17547,plain,
% 25.08/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex1))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17548,plain,
% 25.08/16.83 (((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex1)) | v100(constB105) | v90(constB105, bitIndex1)) <=> ((~v90(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex1))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17549,plain,
% 25.08/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex1)) | v100(constB105) | v90(constB105, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex1)))),
% 25.08/16.83 inference(monotonicity,[status(thm)],[17548])).
% 25.08/16.83 tff(17550,plain,
% 25.08/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex1)) | v100(constB105) | v90(constB105, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex1))),
% 25.08/16.83 inference(transitivity,[status(thm)],[17549, 17547])).
% 25.08/16.83 tff(17551,plain,
% 25.08/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex1)) | v100(constB105) | v90(constB105, bitIndex1))),
% 25.08/16.83 inference(quant_inst,[status(thm)],[])).
% 25.08/16.83 tff(17552,plain,
% 25.08/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex1)),
% 25.08/16.83 inference(modus_ponens,[status(thm)],[17551, 17550])).
% 25.08/16.83 tff(17553,plain,
% 25.08/16.83 ((~v90(constB104, bitIndex1)) | v100(constB105) | v90(constB105, bitIndex1)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17552, 1601, 17503])).
% 25.08/16.83 tff(17554,plain,
% 25.08/16.83 ((~v90(constB104, bitIndex1)) | v90(constB105, bitIndex1)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17553, 17515])).
% 25.08/16.83 tff(17555,plain,
% 25.08/16.83 (v90(constB105, bitIndex1)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17554, 17546])).
% 25.08/16.83 tff(17556,plain,
% 25.08/16.83 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB103)) | (~v130(constB103, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB103)) | (~v130(constB103, bitIndex0)))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17557,plain,
% 25.08/16.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB103)) | (~v130(constB103, bitIndex0)))),
% 25.08/16.83 inference(quant_inst,[status(thm)],[])).
% 25.08/16.83 tff(17558,plain,
% 25.08/16.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB103)) | (~v130(constB103, bitIndex0))),
% 25.08/16.83 inference(modus_ponens,[status(thm)],[17557, 17556])).
% 25.08/16.83 tff(17559,plain,
% 25.08/16.83 (~v130(constB103, bitIndex0)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17558, 1617, 17345])).
% 25.08/16.83 tff(17560,plain,
% 25.08/16.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17561,plain,
% 25.08/16.83 ((v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0))) <=> ((~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17562,plain,
% 25.08/16.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0)))),
% 25.08/16.83 inference(monotonicity,[status(thm)],[17561])).
% 25.08/16.83 tff(17563,plain,
% 25.08/16.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))),
% 25.08/16.83 inference(transitivity,[status(thm)],[17562, 17560])).
% 25.08/16.83 tff(17564,plain,
% 25.08/16.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0)))),
% 25.08/16.83 inference(quant_inst,[status(thm)],[])).
% 25.08/16.83 tff(17565,plain,
% 25.08/16.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0)),
% 25.08/16.83 inference(modus_ponens,[status(thm)],[17564, 17563])).
% 25.08/16.83 tff(17566,plain,
% 25.08/16.83 ((~v127(constB103, bitIndex0)) | v130(constB103, bitIndex0)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17565, 1341, 17353])).
% 25.08/16.83 tff(17567,plain,
% 25.08/16.83 (~v127(constB103, bitIndex0)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17566, 17559])).
% 25.08/16.83 tff(17568,plain,
% 25.08/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0)))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17569,plain,
% 25.08/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0)))),
% 25.08/16.83 inference(quant_inst,[status(thm)],[])).
% 25.08/16.83 tff(17570,plain,
% 25.08/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0))),
% 25.08/16.83 inference(modus_ponens,[status(thm)],[17569, 17568])).
% 25.08/16.83 tff(17571,plain,
% 25.08/16.83 (v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0))),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17570, 1359, 17361])).
% 25.08/16.83 tff(17572,plain,
% 25.08/16.83 (~v129(constB104, bitIndex0)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17571, 17567])).
% 25.08/16.83 tff(17573,plain,
% 25.08/16.83 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17574,plain,
% 25.08/16.83 (((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0)) <=> ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17575,plain,
% 25.08/16.83 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104))))),
% 25.08/16.83 inference(monotonicity,[status(thm)],[17574])).
% 25.08/16.83 tff(17576,plain,
% 25.08/16.83 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))),
% 25.08/16.83 inference(transitivity,[status(thm)],[17575, 17573])).
% 25.08/16.83 tff(17577,plain,
% 25.08/16.83 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0))),
% 25.08/16.83 inference(quant_inst,[status(thm)],[])).
% 25.08/16.83 tff(17578,plain,
% 25.08/16.83 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104))),
% 25.08/16.83 inference(modus_ponens,[status(thm)],[17577, 17576])).
% 25.08/16.83 tff(17579,plain,
% 25.08/16.83 ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17578, 1374, 17489])).
% 25.08/16.83 tff(17580,plain,
% 25.08/16.83 (~v90(constB104, bitIndex0)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17579, 17572])).
% 25.08/16.83 tff(17581,plain,
% 25.08/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17582,plain,
% 25.08/16.83 (((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0))) <=> (v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17583,plain,
% 25.08/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0))))),
% 25.08/16.83 inference(monotonicity,[status(thm)],[17582])).
% 25.08/16.83 tff(17584,plain,
% 25.08/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 25.08/16.83 inference(transitivity,[status(thm)],[17583, 17581])).
% 25.08/16.83 tff(17585,plain,
% 25.08/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 25.08/16.83 inference(quant_inst,[status(thm)],[])).
% 25.08/16.83 tff(17586,plain,
% 25.08/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0))),
% 25.08/16.83 inference(modus_ponens,[status(thm)],[17585, 17584])).
% 25.08/16.83 tff(17587,plain,
% 25.08/16.83 (v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0))),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17586, 934, 17503])).
% 25.08/16.83 tff(17588,plain,
% 25.08/16.83 (v90(constB104, bitIndex0) | (~v90(constB105, bitIndex0))),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17587, 17515])).
% 25.08/16.83 tff(17589,plain,
% 25.08/16.83 (~v90(constB105, bitIndex0)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17588, 17580])).
% 25.08/16.83 tff(17590,plain,
% 25.08/16.83 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)) | v125(constB105))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)) | v125(constB105))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17591,plain,
% 25.08/16.83 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)) | v125(constB105))),
% 25.08/16.83 inference(quant_inst,[status(thm)],[])).
% 25.08/16.83 tff(17592,plain,
% 25.08/16.83 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)) | v125(constB105)),
% 25.08/16.83 inference(modus_ponens,[status(thm)],[17591, 17590])).
% 25.08/16.83 tff(17593,plain,
% 25.08/16.83 (v125(constB105)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17592, 1661, 17589, 17555, 17524])).
% 25.08/16.83 tff(17594,plain,
% 25.08/16.83 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB105) | (~v125(constB105)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB105) | (~v125(constB105)))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17595,plain,
% 25.08/16.83 (((~v125(constB105)) | v113(constB105)) <=> (v113(constB105) | (~v125(constB105)))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17596,plain,
% 25.08/16.83 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB105)) | v113(constB105))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB105) | (~v125(constB105))))),
% 25.08/16.83 inference(monotonicity,[status(thm)],[17595])).
% 25.08/16.83 tff(17597,plain,
% 25.08/16.83 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB105)) | v113(constB105))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB105) | (~v125(constB105)))),
% 25.08/16.83 inference(transitivity,[status(thm)],[17596, 17594])).
% 25.08/16.83 tff(17598,plain,
% 25.08/16.83 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB105)) | v113(constB105))),
% 25.08/16.83 inference(quant_inst,[status(thm)],[])).
% 25.08/16.83 tff(17599,plain,
% 25.08/16.83 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB105) | (~v125(constB105))),
% 25.08/16.83 inference(modus_ponens,[status(thm)],[17598, 17597])).
% 25.08/16.83 tff(17600,plain,
% 25.08/16.83 (v113(constB105)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17599, 1672, 17593])).
% 25.08/16.83 tff(17601,assumption,(v26(constB105)), introduced(assumption)).
% 25.08/16.83 tff(17602,plain,
% 25.08/16.83 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB105))),
% 25.08/16.83 inference(quant_inst,[status(thm)],[])).
% 25.08/16.83 tff(17603,plain,
% 25.08/16.83 ($false),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17602, 797, 17601])).
% 25.08/16.83 tff(17604,plain,(~v26(constB105)), inference(lemma,lemma(discharge,[]))).
% 25.08/16.83 tff(17605,plain,
% 25.08/16.83 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | (~v113(constB105)) | v112(constB105))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17606,plain,
% 25.08/16.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))),
% 25.08/16.83 inference(quant_inst,[status(thm)],[])).
% 25.08/16.83 tff(17607,plain,
% 25.08/16.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | (~v113(constB105)) | v112(constB105)),
% 25.08/16.83 inference(modus_ponens,[status(thm)],[17606, 17605])).
% 25.08/16.83 tff(17608,plain,
% 25.08/16.83 ((~v113(constB105)) | v112(constB105)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17607, 1050, 17604])).
% 25.08/16.83 tff(17609,plain,
% 25.08/16.83 (v112(constB105)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17608, 17600])).
% 25.08/16.83 tff(17610,plain,
% 25.08/16.83 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB105) | (~v112(constB105)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v112(constB105)))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17611,plain,
% 25.08/16.83 (((~v112(constB105)) | v108(constB105)) <=> (v108(constB105) | (~v112(constB105)))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17612,plain,
% 25.08/16.83 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB105)) | v108(constB105))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB105) | (~v112(constB105))))),
% 25.08/16.83 inference(monotonicity,[status(thm)],[17611])).
% 25.08/16.83 tff(17613,plain,
% 25.08/16.83 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB105)) | v108(constB105))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v112(constB105)))),
% 25.08/16.83 inference(transitivity,[status(thm)],[17612, 17610])).
% 25.08/16.83 tff(17614,plain,
% 25.08/16.83 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB105)) | v108(constB105))),
% 25.08/16.83 inference(quant_inst,[status(thm)],[])).
% 25.08/16.83 tff(17615,plain,
% 25.08/16.83 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v112(constB105))),
% 25.08/16.83 inference(modus_ponens,[status(thm)],[17614, 17613])).
% 25.08/16.83 tff(17616,plain,
% 25.08/16.83 (v108(constB105)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17615, 1062, 17609])).
% 25.08/16.83 tff(17617,plain,
% 25.08/16.83 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17618,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_105_1')).
% 25.08/16.83 tff(17619,plain,
% 25.08/16.83 (nextState(constB105, constB106)),
% 25.08/16.83 inference(modus_ponens,[status(thm)],[17618, 17617])).
% 25.08/16.83 tff(17620,plain,
% 25.08/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17621,plain,
% 25.08/16.83 (((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106)) <=> ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17622,plain,
% 25.08/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105))))),
% 25.08/16.83 inference(monotonicity,[status(thm)],[17621])).
% 25.08/16.83 tff(17623,plain,
% 25.08/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 25.08/16.83 inference(transitivity,[status(thm)],[17622, 17620])).
% 25.08/16.83 tff(17624,plain,
% 25.08/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))),
% 25.08/16.83 inference(quant_inst,[status(thm)],[])).
% 25.08/16.83 tff(17625,plain,
% 25.08/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105))),
% 25.08/16.83 inference(modus_ponens,[status(thm)],[17624, 17623])).
% 25.08/16.83 tff(17626,plain,
% 25.08/16.83 (v110(constB106) | (~v108(constB105))),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17625, 1082, 17619])).
% 25.08/16.83 tff(17627,plain,
% 25.08/16.83 (v110(constB106)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17626, 17616])).
% 25.08/16.83 tff(17628,plain,
% 25.08/16.83 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17629,plain,
% 25.08/16.83 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))),
% 25.08/16.83 inference(quant_inst,[status(thm)],[])).
% 25.08/16.83 tff(17630,plain,
% 25.08/16.83 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106))),
% 25.08/16.83 inference(modus_ponens,[status(thm)],[17629, 17628])).
% 25.08/16.83 tff(17631,plain,
% 25.08/16.83 (~v104(constB106)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17630, 1100, 17619, 17500])).
% 25.08/16.83 tff(17632,plain,
% 25.08/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17633,plain,
% 25.08/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))),
% 25.08/16.83 inference(quant_inst,[status(thm)],[])).
% 25.08/16.83 tff(17634,plain,
% 25.08/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v102(constB106) | v104(constB106)),
% 25.08/16.83 inference(modus_ponens,[status(thm)],[17633, 17632])).
% 25.08/16.83 tff(17635,plain,
% 25.08/16.83 (v102(constB106) | v104(constB106)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17634, 1114, 17619])).
% 25.08/16.83 tff(17636,plain,
% 25.08/16.83 (v102(constB106)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17635, 17631])).
% 25.08/16.83 tff(17637,plain,
% 25.08/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17638,plain,
% 25.08/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))),
% 25.08/16.83 inference(quant_inst,[status(thm)],[])).
% 25.08/16.83 tff(17639,plain,
% 25.08/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106))),
% 25.08/16.83 inference(modus_ponens,[status(thm)],[17638, 17637])).
% 25.08/16.83 tff(17640,plain,
% 25.08/16.83 (v101(constB106) | (~v102(constB106))),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17639, 1129, 17619, 724])).
% 25.08/16.83 tff(17641,plain,
% 25.08/16.83 (v101(constB106)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17640, 17636])).
% 25.08/16.83 tff(17642,plain,
% 25.08/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17643,plain,
% 25.08/16.83 (((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106)) <=> ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17644,plain,
% 25.08/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106))))),
% 25.08/16.83 inference(monotonicity,[status(thm)],[17643])).
% 25.08/16.83 tff(17645,plain,
% 25.08/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 25.08/16.83 inference(transitivity,[status(thm)],[17644, 17642])).
% 25.08/16.83 tff(17646,plain,
% 25.08/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))),
% 25.08/16.83 inference(quant_inst,[status(thm)],[])).
% 25.08/16.83 tff(17647,plain,
% 25.08/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 25.08/16.83 inference(modus_ponens,[status(thm)],[17646, 17645])).
% 25.08/16.83 tff(17648,plain,
% 25.08/16.83 (v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17647, 1144, 17619])).
% 25.08/16.83 tff(17649,plain,
% 25.08/16.83 (v100(constB106) | (~v110(constB106))),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17648, 17641])).
% 25.08/16.83 tff(17650,plain,
% 25.08/16.83 (v100(constB106)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17649, 17627])).
% 25.08/16.83 tff(17651,plain,
% 25.08/16.83 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB105)) | (~v90(constB105, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB105)) | (~v90(constB105, bitIndex2)))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17652,plain,
% 25.08/16.83 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB105)) | (~v90(constB105, bitIndex2)))),
% 25.08/16.83 inference(quant_inst,[status(thm)],[])).
% 25.08/16.83 tff(17653,plain,
% 25.08/16.83 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB105)) | (~v90(constB105, bitIndex2))),
% 25.08/16.83 inference(modus_ponens,[status(thm)],[17652, 17651])).
% 25.08/16.83 tff(17654,plain,
% 25.08/16.83 (~v121(constB105)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17653, 1729, 17524])).
% 25.08/16.83 tff(17655,plain,
% 25.08/16.83 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB105)) | (~v90(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB105)) | (~v90(constB105, bitIndex1)))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17656,plain,
% 25.08/16.83 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB105)) | (~v90(constB105, bitIndex1)))),
% 25.08/16.83 inference(quant_inst,[status(thm)],[])).
% 25.08/16.83 tff(17657,plain,
% 25.08/16.83 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB105)) | (~v90(constB105, bitIndex1))),
% 25.08/16.83 inference(modus_ponens,[status(thm)],[17656, 17655])).
% 25.08/16.83 tff(17658,plain,
% 25.08/16.83 (~v119(constB105)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17657, 1751, 17555])).
% 25.08/16.83 tff(17659,plain,
% 25.08/16.83 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB105)) | (~v90(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB105)) | (~v90(constB105, bitIndex1)))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17660,plain,
% 25.08/16.83 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB105)) | (~v90(constB105, bitIndex1)))),
% 25.08/16.83 inference(quant_inst,[status(thm)],[])).
% 25.08/16.83 tff(17661,plain,
% 25.08/16.83 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB105)) | (~v90(constB105, bitIndex1))),
% 25.08/16.83 inference(modus_ponens,[status(thm)],[17660, 17659])).
% 25.08/16.83 tff(17662,plain,
% 25.08/16.83 (~v124(constB105)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17661, 1784, 17555])).
% 25.08/16.83 tff(17663,plain,
% 25.08/16.83 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB105)) | (~v90(constB105, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB105)) | (~v90(constB105, bitIndex2)))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17664,plain,
% 25.08/16.83 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB105)) | (~v90(constB105, bitIndex2)))),
% 25.08/16.83 inference(quant_inst,[status(thm)],[])).
% 25.08/16.83 tff(17665,plain,
% 25.08/16.83 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB105)) | (~v90(constB105, bitIndex2))),
% 25.08/16.83 inference(modus_ponens,[status(thm)],[17664, 17663])).
% 25.08/16.83 tff(17666,plain,
% 25.08/16.83 (~v122(constB105)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17665, 1740, 17524])).
% 25.08/16.83 tff(17667,plain,
% 25.08/16.83 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB105)) | (~v90(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB105)) | (~v90(constB105, bitIndex1)))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17668,plain,
% 25.08/16.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB105)) | (~v90(constB105, bitIndex1)))),
% 25.08/16.83 inference(quant_inst,[status(thm)],[])).
% 25.08/16.83 tff(17669,plain,
% 25.08/16.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB105)) | (~v90(constB105, bitIndex1))),
% 25.08/16.83 inference(modus_ponens,[status(thm)],[17668, 17667])).
% 25.08/16.83 tff(17670,plain,
% 25.08/16.83 (~v123(constB105)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17669, 1773, 17555])).
% 25.08/16.83 tff(17671,plain,
% 25.08/16.83 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB105)) | (~v90(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB105)) | (~v90(constB105, bitIndex1)))),
% 25.08/16.83 inference(rewrite,[status(thm)],[])).
% 25.08/16.83 tff(17672,plain,
% 25.08/16.83 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB105)) | (~v90(constB105, bitIndex1)))),
% 25.08/16.83 inference(quant_inst,[status(thm)],[])).
% 25.08/16.83 tff(17673,plain,
% 25.08/16.83 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB105)) | (~v90(constB105, bitIndex1))),
% 25.08/16.83 inference(modus_ponens,[status(thm)],[17672, 17671])).
% 25.08/16.83 tff(17674,plain,
% 25.08/16.83 (~v120(constB105)),
% 25.08/16.83 inference(unit_resolution,[status(thm)],[17673, 1762, 17555])).
% 25.08/16.83 tff(17675,plain,
% 25.08/16.83 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex2)))),
% 25.08/16.84 inference(rewrite,[status(thm)],[])).
% 25.08/16.84 tff(17676,plain,
% 25.08/16.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex2)))),
% 25.08/16.84 inference(quant_inst,[status(thm)],[])).
% 25.08/16.84 tff(17677,plain,
% 25.08/16.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex2))),
% 25.08/16.84 inference(modus_ponens,[status(thm)],[17676, 17675])).
% 25.08/16.84 tff(17678,plain,
% 25.08/16.84 (~v130(constB105, bitIndex2)),
% 25.08/16.84 inference(unit_resolution,[status(thm)],[17677, 1798, 17674, 17670, 17666, 17662, 17658, 17654])).
% 25.08/16.84 tff(17679,plain,
% 25.08/16.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2))),
% 25.08/16.84 inference(rewrite,[status(thm)],[])).
% 25.08/16.84 tff(17680,plain,
% 25.08/16.84 ((v26(constB105) | v130(constB105, bitIndex2) | (~v127(constB105, bitIndex2))) <=> ((~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2))),
% 25.08/16.84 inference(rewrite,[status(thm)],[])).
% 25.08/16.84 tff(17681,plain,
% 25.08/16.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB105) | v130(constB105, bitIndex2) | (~v127(constB105, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2)))),
% 25.08/16.84 inference(monotonicity,[status(thm)],[17680])).
% 25.08/16.84 tff(17682,plain,
% 25.08/16.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB105) | v130(constB105, bitIndex2) | (~v127(constB105, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2))),
% 25.08/16.84 inference(transitivity,[status(thm)],[17681, 17679])).
% 25.08/16.84 tff(17683,plain,
% 25.08/16.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB105) | v130(constB105, bitIndex2) | (~v127(constB105, bitIndex2)))),
% 25.08/16.84 inference(quant_inst,[status(thm)],[])).
% 25.08/16.84 tff(17684,plain,
% 25.08/16.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2)),
% 25.08/16.84 inference(modus_ponens,[status(thm)],[17683, 17682])).
% 25.08/16.84 tff(17685,plain,
% 25.08/16.84 ((~v127(constB105, bitIndex2)) | v130(constB105, bitIndex2)),
% 25.08/16.84 inference(unit_resolution,[status(thm)],[17684, 1812, 17604])).
% 25.08/16.84 tff(17686,plain,
% 25.08/16.84 (~v127(constB105, bitIndex2)),
% 25.08/16.84 inference(unit_resolution,[status(thm)],[17685, 17678])).
% 25.08/16.84 tff(17687,plain,
% 25.08/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex2) | (~v129(constB106, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex2) | (~v129(constB106, bitIndex2)))),
% 25.08/16.84 inference(rewrite,[status(thm)],[])).
% 25.08/16.84 tff(17688,plain,
% 25.08/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex2) | (~v129(constB106, bitIndex2)))),
% 25.08/16.84 inference(quant_inst,[status(thm)],[])).
% 25.08/16.84 tff(17689,plain,
% 25.08/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex2) | (~v129(constB106, bitIndex2))),
% 25.08/16.84 inference(modus_ponens,[status(thm)],[17688, 17687])).
% 25.08/16.84 tff(17690,plain,
% 25.08/16.84 (v127(constB105, bitIndex2) | (~v129(constB106, bitIndex2))),
% 25.08/16.84 inference(unit_resolution,[status(thm)],[17689, 1830, 17619])).
% 25.08/16.84 tff(17691,plain,
% 25.08/16.84 (~v129(constB106, bitIndex2)),
% 25.08/16.84 inference(unit_resolution,[status(thm)],[17690, 17686])).
% 25.08/16.84 tff(17692,plain,
% 25.08/16.84 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB106, bitIndex2)) | v129(constB106, bitIndex2) | (~v100(constB106)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB106, bitIndex2)) | v129(constB106, bitIndex2) | (~v100(constB106)))),
% 25.08/16.84 inference(rewrite,[status(thm)],[])).
% 25.08/16.84 tff(17693,plain,
% 25.08/16.84 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB106, bitIndex2)) | v129(constB106, bitIndex2) | (~v100(constB106)))),
% 25.08/16.84 inference(quant_inst,[status(thm)],[])).
% 25.08/16.84 tff(17694,plain,
% 25.08/16.84 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB106, bitIndex2)) | v129(constB106, bitIndex2) | (~v100(constB106))),
% 25.08/16.84 inference(modus_ponens,[status(thm)],[17693, 17692])).
% 25.08/16.84 tff(17695,plain,
% 25.08/16.84 ((~v90(constB106, bitIndex2)) | (~v100(constB106))),
% 25.08/16.84 inference(unit_resolution,[status(thm)],[17694, 1845, 17691])).
% 25.08/16.84 tff(17696,plain,
% 25.08/16.84 (~v90(constB106, bitIndex2)),
% 25.08/16.84 inference(unit_resolution,[status(thm)],[17695, 17650])).
% 25.08/16.84 tff(17697,plain,
% 25.08/16.84 ((~v1(constB107)) <=> (~v1(constB107))),
% 25.08/16.84 inference(rewrite,[status(thm)],[])).
% 25.08/16.84 tff(17698,axiom,(~v1(constB107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_107_1_1')).
% 25.08/16.84 tff(17699,plain,
% 25.08/16.84 (~v1(constB107)),
% 25.08/16.84 inference(modus_ponens,[status(thm)],[17698, 17697])).
% 25.08/16.84 tff(17700,plain,
% 25.08/16.84 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 25.08/16.84 inference(rewrite,[status(thm)],[])).
% 25.08/16.84 tff(17701,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_106_1')).
% 25.08/16.84 tff(17702,plain,
% 25.08/16.84 (nextState(constB106, constB107)),
% 25.08/16.84 inference(modus_ponens,[status(thm)],[17701, 17700])).
% 25.08/16.84 tff(17703,plain,
% 25.08/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 25.08/16.84 inference(rewrite,[status(thm)],[])).
% 25.08/16.84 tff(17704,plain,
% 25.08/16.84 (((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107)) <=> (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 25.08/16.84 inference(rewrite,[status(thm)],[])).
% 25.08/16.84 tff(17705,plain,
% 25.08/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107))))),
% 25.13/16.84 inference(monotonicity,[status(thm)],[17704])).
% 25.13/16.84 tff(17706,plain,
% 25.13/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 25.13/16.84 inference(transitivity,[status(thm)],[17705, 17703])).
% 25.13/16.84 tff(17707,plain,
% 25.13/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))),
% 25.13/16.84 inference(quant_inst,[status(thm)],[])).
% 25.13/16.84 tff(17708,plain,
% 25.13/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107))),
% 25.13/16.84 inference(modus_ponens,[status(thm)],[17707, 17706])).
% 25.13/16.84 tff(17709,plain,
% 25.13/16.84 (~v101(constB107)),
% 25.13/16.84 inference(unit_resolution,[status(thm)],[17708, 860, 17702, 17699])).
% 25.13/16.84 tff(17710,plain,
% 25.13/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))),
% 25.13/16.84 inference(rewrite,[status(thm)],[])).
% 25.13/16.84 tff(17711,plain,
% 25.13/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))),
% 25.13/16.84 inference(quant_inst,[status(thm)],[])).
% 25.13/16.84 tff(17712,plain,
% 25.13/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107))),
% 25.13/16.84 inference(modus_ponens,[status(thm)],[17711, 17710])).
% 25.13/16.84 tff(17713,plain,
% 25.13/16.84 (v101(constB107) | (~v100(constB107))),
% 25.13/16.84 inference(unit_resolution,[status(thm)],[17712, 877, 17702])).
% 25.13/16.84 tff(17714,plain,
% 25.13/16.84 (~v100(constB107)),
% 25.13/16.84 inference(unit_resolution,[status(thm)],[17713, 17709])).
% 25.13/16.84 tff(17715,plain,
% 25.13/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex2)))),
% 25.13/16.84 inference(rewrite,[status(thm)],[])).
% 25.13/16.84 tff(17716,plain,
% 25.13/16.84 (((~nextState(constB106, constB107)) | v90(constB106, bitIndex2) | v100(constB107) | (~v90(constB107, bitIndex2))) <=> (v90(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex2)))),
% 25.13/16.84 inference(rewrite,[status(thm)],[])).
% 25.13/16.84 tff(17717,plain,
% 25.13/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex2) | v100(constB107) | (~v90(constB107, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex2))))),
% 25.13/16.84 inference(monotonicity,[status(thm)],[17716])).
% 25.13/16.84 tff(17718,plain,
% 25.13/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex2) | v100(constB107) | (~v90(constB107, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex2)))),
% 25.13/16.84 inference(transitivity,[status(thm)],[17717, 17715])).
% 25.13/16.84 tff(17719,plain,
% 25.13/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex2) | v100(constB107) | (~v90(constB107, bitIndex2)))),
% 25.13/16.84 inference(quant_inst,[status(thm)],[])).
% 25.13/16.84 tff(17720,plain,
% 25.13/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex2))),
% 25.13/16.84 inference(modus_ponens,[status(thm)],[17719, 17718])).
% 25.13/16.84 tff(17721,plain,
% 25.13/16.84 (v90(constB106, bitIndex2) | v100(constB107) | (~v90(constB107, bitIndex2))),
% 25.13/16.84 inference(unit_resolution,[status(thm)],[17720, 892, 17702])).
% 25.13/16.84 tff(17722,plain,
% 25.13/16.84 (v90(constB106, bitIndex2) | (~v90(constB107, bitIndex2))),
% 25.13/16.84 inference(unit_resolution,[status(thm)],[17721, 17714])).
% 25.13/16.84 tff(17723,plain,
% 25.13/16.84 (~v90(constB107, bitIndex2)),
% 25.13/16.84 inference(unit_resolution,[status(thm)],[17722, 17696])).
% 25.13/16.84 tff(17724,plain,
% 25.13/16.84 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex1)))),
% 25.13/16.84 inference(rewrite,[status(thm)],[])).
% 25.13/16.84 tff(17725,plain,
% 25.13/16.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex1)))),
% 25.13/16.84 inference(quant_inst,[status(thm)],[])).
% 25.13/16.84 tff(17726,plain,
% 25.13/16.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex1))),
% 25.13/16.84 inference(modus_ponens,[status(thm)],[17725, 17724])).
% 25.13/16.84 tff(17727,plain,
% 25.13/16.84 (~v130(constB105, bitIndex1)),
% 25.13/16.84 inference(unit_resolution,[status(thm)],[17726, 1887, 17674, 17670, 17666, 17662, 17658, 17654])).
% 25.13/16.84 tff(17728,plain,
% 25.13/16.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))),
% 25.13/16.84 inference(rewrite,[status(thm)],[])).
% 25.13/16.84 tff(17729,plain,
% 25.13/16.84 ((v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1))) <=> ((~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))),
% 25.13/16.84 inference(rewrite,[status(thm)],[])).
% 25.13/16.84 tff(17730,plain,
% 25.13/16.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1)))),
% 25.13/16.84 inference(monotonicity,[status(thm)],[17729])).
% 25.13/16.84 tff(17731,plain,
% 25.13/16.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))),
% 25.13/16.84 inference(transitivity,[status(thm)],[17730, 17728])).
% 25.13/16.84 tff(17732,plain,
% 25.13/16.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1)))),
% 25.13/16.84 inference(quant_inst,[status(thm)],[])).
% 25.13/16.84 tff(17733,plain,
% 25.13/16.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1)),
% 25.13/16.84 inference(modus_ponens,[status(thm)],[17732, 17731])).
% 25.13/16.84 tff(17734,plain,
% 25.13/16.84 ((~v127(constB105, bitIndex1)) | v130(constB105, bitIndex1)),
% 25.13/16.84 inference(unit_resolution,[status(thm)],[17733, 1270, 17604])).
% 25.13/16.84 tff(17735,plain,
% 25.13/16.84 (~v127(constB105, bitIndex1)),
% 25.13/16.84 inference(unit_resolution,[status(thm)],[17734, 17727])).
% 25.13/16.84 tff(17736,plain,
% 25.13/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1)))),
% 25.13/16.84 inference(rewrite,[status(thm)],[])).
% 25.13/16.84 tff(17737,plain,
% 25.13/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1)))),
% 25.13/16.84 inference(quant_inst,[status(thm)],[])).
% 25.13/16.84 tff(17738,plain,
% 25.13/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1))),
% 25.13/16.84 inference(modus_ponens,[status(thm)],[17737, 17736])).
% 25.13/16.84 tff(17739,plain,
% 25.13/16.84 (v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1))),
% 25.13/16.84 inference(unit_resolution,[status(thm)],[17738, 1288, 17619])).
% 25.13/16.84 tff(17740,plain,
% 25.13/16.84 (~v129(constB106, bitIndex1)),
% 25.13/16.84 inference(unit_resolution,[status(thm)],[17739, 17735])).
% 25.13/16.84 tff(17741,plain,
% 25.13/16.84 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))),
% 25.13/16.84 inference(rewrite,[status(thm)],[])).
% 25.13/16.84 tff(17742,plain,
% 25.13/16.84 (((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1)) <=> ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))),
% 25.13/16.84 inference(rewrite,[status(thm)],[])).
% 25.13/16.84 tff(17743,plain,
% 25.13/16.84 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106))))),
% 25.13/16.84 inference(monotonicity,[status(thm)],[17742])).
% 25.13/16.84 tff(17744,plain,
% 25.13/16.84 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))),
% 25.13/16.84 inference(transitivity,[status(thm)],[17743, 17741])).
% 25.13/16.84 tff(17745,plain,
% 25.13/16.84 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1))),
% 25.13/16.84 inference(quant_inst,[status(thm)],[])).
% 25.13/16.84 tff(17746,plain,
% 25.13/16.84 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106))),
% 25.13/16.84 inference(modus_ponens,[status(thm)],[17745, 17744])).
% 25.13/16.84 tff(17747,plain,
% 25.13/16.84 ((~v90(constB106, bitIndex1)) | (~v100(constB106))),
% 25.13/16.84 inference(unit_resolution,[status(thm)],[17746, 1303, 17740])).
% 25.13/16.84 tff(17748,plain,
% 25.13/16.84 (~v90(constB106, bitIndex1)),
% 25.13/16.84 inference(unit_resolution,[status(thm)],[17747, 17650])).
% 25.13/16.84 tff(17749,plain,
% 25.13/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 25.13/16.84 inference(rewrite,[status(thm)],[])).
% 25.13/16.84 tff(17750,plain,
% 25.13/16.84 (((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1))) <=> (v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 25.13/16.84 inference(rewrite,[status(thm)],[])).
% 25.13/16.84 tff(17751,plain,
% 25.13/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1))))),
% 25.13/16.84 inference(monotonicity,[status(thm)],[17750])).
% 25.13/16.84 tff(17752,plain,
% 25.13/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 25.13/16.84 inference(transitivity,[status(thm)],[17751, 17749])).
% 25.13/16.84 tff(17753,plain,
% 25.13/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 25.13/16.84 inference(quant_inst,[status(thm)],[])).
% 25.13/16.84 tff(17754,plain,
% 25.13/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1))),
% 25.13/16.84 inference(modus_ponens,[status(thm)],[17753, 17752])).
% 25.13/16.84 tff(17755,plain,
% 25.13/16.84 (v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1))),
% 25.13/16.84 inference(unit_resolution,[status(thm)],[17754, 913, 17702])).
% 25.13/16.84 tff(17756,plain,
% 25.13/16.84 (v90(constB106, bitIndex1) | (~v90(constB107, bitIndex1))),
% 25.13/16.84 inference(unit_resolution,[status(thm)],[17755, 17714])).
% 25.13/16.84 tff(17757,plain,
% 25.13/16.84 (~v90(constB107, bitIndex1)),
% 25.13/16.84 inference(unit_resolution,[status(thm)],[17756, 17748])).
% 25.13/16.84 tff(17758,plain,
% 25.13/16.84 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | v130(constB105, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | v130(constB105, bitIndex0))),
% 25.13/16.84 inference(rewrite,[status(thm)],[])).
% 25.13/16.84 tff(17759,plain,
% 25.13/16.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | v130(constB105, bitIndex0))),
% 25.13/16.84 inference(quant_inst,[status(thm)],[])).
% 25.13/16.84 tff(17760,plain,
% 25.13/16.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | v130(constB105, bitIndex0)),
% 25.13/16.84 inference(modus_ponens,[status(thm)],[17759, 17758])).
% 25.13/16.84 tff(17761,plain,
% 25.13/16.84 (v130(constB105, bitIndex0)),
% 25.13/16.84 inference(unit_resolution,[status(thm)],[17760, 1931, 17674, 17670, 17666, 17662, 17658, 17654])).
% 25.13/16.84 tff(17762,plain,
% 25.13/16.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0))),
% 25.13/16.84 inference(rewrite,[status(thm)],[])).
% 25.13/16.84 tff(17763,plain,
% 25.13/16.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0))),
% 25.13/16.84 inference(quant_inst,[status(thm)],[])).
% 25.13/16.84 tff(17764,plain,
% 25.13/16.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0)),
% 25.13/16.84 inference(modus_ponens,[status(thm)],[17763, 17762])).
% 25.13/16.84 tff(17765,plain,
% 25.13/16.84 ((~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0)),
% 25.13/16.84 inference(unit_resolution,[status(thm)],[17764, 1945, 17604])).
% 25.13/16.84 tff(17766,plain,
% 25.13/16.84 (v127(constB105, bitIndex0)),
% 25.13/16.84 inference(unit_resolution,[status(thm)],[17765, 17761])).
% 25.13/16.84 tff(17767,plain,
% 25.13/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0))),
% 25.13/16.84 inference(rewrite,[status(thm)],[])).
% 25.13/16.84 tff(17768,plain,
% 25.13/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0))),
% 25.13/16.84 inference(quant_inst,[status(thm)],[])).
% 25.13/16.84 tff(17769,plain,
% 25.13/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0)),
% 25.13/16.84 inference(modus_ponens,[status(thm)],[17768, 17767])).
% 25.13/16.84 tff(17770,plain,
% 25.13/16.84 ((~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0)),
% 25.13/16.84 inference(unit_resolution,[status(thm)],[17769, 1960, 17619])).
% 25.13/16.84 tff(17771,plain,
% 25.13/16.84 (v129(constB106, bitIndex0)),
% 25.13/16.84 inference(unit_resolution,[status(thm)],[17770, 17766])).
% 25.13/16.84 tff(17772,plain,
% 25.13/16.84 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))),
% 25.13/16.84 inference(rewrite,[status(thm)],[])).
% 25.13/16.84 tff(17773,plain,
% 25.13/16.84 ((v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0))) <=> (v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))),
% 25.13/16.84 inference(rewrite,[status(thm)],[])).
% 25.13/16.84 tff(17774,plain,
% 25.13/16.84 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106))))),
% 25.13/16.84 inference(monotonicity,[status(thm)],[17773])).
% 25.13/16.84 tff(17775,plain,
% 25.13/16.84 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))),
% 25.13/16.84 inference(transitivity,[status(thm)],[17774, 17772])).
% 25.13/16.84 tff(17776,plain,
% 25.13/16.84 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0)))),
% 25.13/16.84 inference(quant_inst,[status(thm)],[])).
% 25.13/16.84 tff(17777,plain,
% 25.13/16.84 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106))),
% 25.13/16.84 inference(modus_ponens,[status(thm)],[17776, 17775])).
% 25.13/16.84 tff(17778,plain,
% 25.13/16.84 (v90(constB106, bitIndex0) | (~v100(constB106))),
% 25.13/16.84 inference(unit_resolution,[status(thm)],[17777, 1975, 17771])).
% 25.13/16.84 tff(17779,plain,
% 25.13/16.84 (v90(constB106, bitIndex0)),
% 25.13/16.84 inference(unit_resolution,[status(thm)],[17778, 17650])).
% 25.13/16.84 tff(17780,plain,
% 25.13/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))),
% 25.13/16.84 inference(rewrite,[status(thm)],[])).
% 25.13/16.84 tff(17781,plain,
% 25.13/16.84 (((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0)) <=> ((~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))),
% 25.13/16.84 inference(rewrite,[status(thm)],[])).
% 25.13/16.84 tff(17782,plain,
% 25.13/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0)))),
% 25.13/16.85 inference(monotonicity,[status(thm)],[17781])).
% 25.13/16.85 tff(17783,plain,
% 25.13/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))),
% 25.13/16.85 inference(transitivity,[status(thm)],[17782, 17780])).
% 25.13/16.85 tff(17784,plain,
% 25.13/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0))),
% 25.13/16.85 inference(quant_inst,[status(thm)],[])).
% 25.13/16.85 tff(17785,plain,
% 25.13/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0)),
% 25.13/16.85 inference(modus_ponens,[status(thm)],[17784, 17783])).
% 25.13/16.85 tff(17786,plain,
% 25.13/16.85 ((~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0)),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17785, 1993, 17702])).
% 25.13/16.85 tff(17787,plain,
% 25.13/16.85 ((~v90(constB106, bitIndex0)) | v90(constB107, bitIndex0)),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17786, 17714])).
% 25.13/16.85 tff(17788,plain,
% 25.13/16.85 (v90(constB107, bitIndex0)),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17787, 17779])).
% 25.13/16.85 tff(17789,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17790,plain,
% 25.13/16.85 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107))),
% 25.13/16.85 inference(quant_inst,[status(thm)],[])).
% 25.13/16.85 tff(17791,plain,
% 25.13/16.85 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107)),
% 25.13/16.85 inference(modus_ponens,[status(thm)],[17790, 17789])).
% 25.13/16.85 tff(17792,plain,
% 25.13/16.85 (v120(constB107)),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17791, 2012, 17788, 17757, 17723])).
% 25.13/16.85 tff(17793,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB107) | (~v120(constB107)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB107) | (~v120(constB107)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17794,plain,
% 25.13/16.85 (((~v120(constB107)) | v118(constB107)) <=> (v118(constB107) | (~v120(constB107)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17795,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB107)) | v118(constB107))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB107) | (~v120(constB107))))),
% 25.13/16.85 inference(monotonicity,[status(thm)],[17794])).
% 25.13/16.85 tff(17796,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB107)) | v118(constB107))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB107) | (~v120(constB107)))),
% 25.13/16.85 inference(transitivity,[status(thm)],[17795, 17793])).
% 25.13/16.85 tff(17797,plain,
% 25.13/16.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB107)) | v118(constB107))),
% 25.13/16.85 inference(quant_inst,[status(thm)],[])).
% 25.13/16.85 tff(17798,plain,
% 25.13/16.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB107) | (~v120(constB107))),
% 25.13/16.85 inference(modus_ponens,[status(thm)],[17797, 17796])).
% 25.13/16.85 tff(17799,plain,
% 25.13/16.85 (v118(constB107)),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17798, 2210, 17792])).
% 25.13/16.85 tff(17800,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB107) | (~v118(constB107)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB107) | (~v118(constB107)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17801,plain,
% 25.13/16.85 (((~v118(constB107)) | v117(constB107)) <=> (v117(constB107) | (~v118(constB107)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17802,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB107)) | v117(constB107))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB107) | (~v118(constB107))))),
% 25.13/16.85 inference(monotonicity,[status(thm)],[17801])).
% 25.13/16.85 tff(17803,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB107)) | v117(constB107))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB107) | (~v118(constB107)))),
% 25.13/16.85 inference(transitivity,[status(thm)],[17802, 17800])).
% 25.13/16.85 tff(17804,plain,
% 25.13/16.85 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB107)) | v117(constB107))),
% 25.13/16.85 inference(quant_inst,[status(thm)],[])).
% 25.13/16.85 tff(17805,plain,
% 25.13/16.85 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB107) | (~v118(constB107))),
% 25.13/16.85 inference(modus_ponens,[status(thm)],[17804, 17803])).
% 25.13/16.85 tff(17806,plain,
% 25.13/16.85 (v117(constB107)),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17805, 980, 17799])).
% 25.13/16.85 tff(17807,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB107) | (~v117(constB107)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB107) | (~v117(constB107)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17808,plain,
% 25.13/16.85 (((~v117(constB107)) | v116(constB107)) <=> (v116(constB107) | (~v117(constB107)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17809,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB107)) | v116(constB107))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB107) | (~v117(constB107))))),
% 25.13/16.85 inference(monotonicity,[status(thm)],[17808])).
% 25.13/16.85 tff(17810,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB107)) | v116(constB107))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB107) | (~v117(constB107)))),
% 25.13/16.85 inference(transitivity,[status(thm)],[17809, 17807])).
% 25.13/16.85 tff(17811,plain,
% 25.13/16.85 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB107)) | v116(constB107))),
% 25.13/16.85 inference(quant_inst,[status(thm)],[])).
% 25.13/16.85 tff(17812,plain,
% 25.13/16.85 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB107) | (~v117(constB107))),
% 25.13/16.85 inference(modus_ponens,[status(thm)],[17811, 17810])).
% 25.13/16.85 tff(17813,plain,
% 25.13/16.85 (v116(constB107)),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17812, 994, 17806])).
% 25.13/16.85 tff(17814,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB107) | (~v116(constB107)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB107) | (~v116(constB107)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17815,plain,
% 25.13/16.85 (((~v116(constB107)) | v115(constB107)) <=> (v115(constB107) | (~v116(constB107)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17816,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB107)) | v115(constB107))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB107) | (~v116(constB107))))),
% 25.13/16.85 inference(monotonicity,[status(thm)],[17815])).
% 25.13/16.85 tff(17817,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB107)) | v115(constB107))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB107) | (~v116(constB107)))),
% 25.13/16.85 inference(transitivity,[status(thm)],[17816, 17814])).
% 25.13/16.85 tff(17818,plain,
% 25.13/16.85 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB107)) | v115(constB107))),
% 25.13/16.85 inference(quant_inst,[status(thm)],[])).
% 25.13/16.85 tff(17819,plain,
% 25.13/16.85 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB107) | (~v116(constB107))),
% 25.13/16.85 inference(modus_ponens,[status(thm)],[17818, 17817])).
% 25.13/16.85 tff(17820,plain,
% 25.13/16.85 (v115(constB107)),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17819, 1008, 17813])).
% 25.13/16.85 tff(17821,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB107) | (~v115(constB107)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB107) | (~v115(constB107)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17822,plain,
% 25.13/16.85 (((~v115(constB107)) | v114(constB107)) <=> (v114(constB107) | (~v115(constB107)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17823,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB107)) | v114(constB107))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB107) | (~v115(constB107))))),
% 25.13/16.85 inference(monotonicity,[status(thm)],[17822])).
% 25.13/16.85 tff(17824,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB107)) | v114(constB107))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB107) | (~v115(constB107)))),
% 25.13/16.85 inference(transitivity,[status(thm)],[17823, 17821])).
% 25.13/16.85 tff(17825,plain,
% 25.13/16.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB107)) | v114(constB107))),
% 25.13/16.85 inference(quant_inst,[status(thm)],[])).
% 25.13/16.85 tff(17826,plain,
% 25.13/16.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB107) | (~v115(constB107))),
% 25.13/16.85 inference(modus_ponens,[status(thm)],[17825, 17824])).
% 25.13/16.85 tff(17827,plain,
% 25.13/16.85 (v114(constB107)),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17826, 1022, 17820])).
% 25.13/16.85 tff(17828,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB107)) | v113(constB107))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB107)) | v113(constB107))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17829,plain,
% 25.13/16.85 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB107)) | v113(constB107))),
% 25.13/16.85 inference(quant_inst,[status(thm)],[])).
% 25.13/16.85 tff(17830,plain,
% 25.13/16.85 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB107)) | v113(constB107)),
% 25.13/16.85 inference(modus_ponens,[status(thm)],[17829, 17828])).
% 25.13/16.85 tff(17831,plain,
% 25.13/16.85 (v113(constB107)),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17830, 1036, 17827])).
% 25.13/16.85 tff(17832,assumption,(v26(constB107)), introduced(assumption)).
% 25.13/16.85 tff(17833,plain,
% 25.13/16.85 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB107))),
% 25.13/16.85 inference(quant_inst,[status(thm)],[])).
% 25.13/16.85 tff(17834,plain,
% 25.13/16.85 ($false),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17833, 797, 17832])).
% 25.13/16.85 tff(17835,plain,(~v26(constB107)), inference(lemma,lemma(discharge,[]))).
% 25.13/16.85 tff(17836,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | v112(constB107) | (~v113(constB107)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | v112(constB107) | (~v113(constB107)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17837,plain,
% 25.13/16.85 ((v26(constB107) | (~v113(constB107)) | v112(constB107)) <=> (v26(constB107) | v112(constB107) | (~v113(constB107)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17838,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | v112(constB107) | (~v113(constB107))))),
% 25.13/16.85 inference(monotonicity,[status(thm)],[17837])).
% 25.13/16.85 tff(17839,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | v112(constB107) | (~v113(constB107)))),
% 25.13/16.85 inference(transitivity,[status(thm)],[17838, 17836])).
% 25.13/16.85 tff(17840,plain,
% 25.13/16.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))),
% 25.13/16.85 inference(quant_inst,[status(thm)],[])).
% 25.13/16.85 tff(17841,plain,
% 25.13/16.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | v112(constB107) | (~v113(constB107))),
% 25.13/16.85 inference(modus_ponens,[status(thm)],[17840, 17839])).
% 25.13/16.85 tff(17842,plain,
% 25.13/16.85 (v112(constB107) | (~v113(constB107))),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17841, 1050, 17835])).
% 25.13/16.85 tff(17843,plain,
% 25.13/16.85 (v112(constB107)),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17842, 17831])).
% 25.13/16.85 tff(17844,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB107) | (~v112(constB107)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v112(constB107)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17845,plain,
% 25.13/16.85 (((~v112(constB107)) | v108(constB107)) <=> (v108(constB107) | (~v112(constB107)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17846,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB107)) | v108(constB107))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB107) | (~v112(constB107))))),
% 25.13/16.85 inference(monotonicity,[status(thm)],[17845])).
% 25.13/16.85 tff(17847,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB107)) | v108(constB107))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v112(constB107)))),
% 25.13/16.85 inference(transitivity,[status(thm)],[17846, 17844])).
% 25.13/16.85 tff(17848,plain,
% 25.13/16.85 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB107)) | v108(constB107))),
% 25.13/16.85 inference(quant_inst,[status(thm)],[])).
% 25.13/16.85 tff(17849,plain,
% 25.13/16.85 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v112(constB107))),
% 25.13/16.85 inference(modus_ponens,[status(thm)],[17848, 17847])).
% 25.13/16.85 tff(17850,plain,
% 25.13/16.85 (v108(constB107)),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17849, 1062, 17843])).
% 25.13/16.85 tff(17851,plain,
% 25.13/16.85 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17852,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_107_1')).
% 25.13/16.85 tff(17853,plain,
% 25.13/16.85 (nextState(constB107, constB108)),
% 25.13/16.85 inference(modus_ponens,[status(thm)],[17852, 17851])).
% 25.13/16.85 tff(17854,plain,
% 25.13/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17855,plain,
% 25.13/16.85 (((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108)) <=> ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17856,plain,
% 25.13/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107))))),
% 25.13/16.85 inference(monotonicity,[status(thm)],[17855])).
% 25.13/16.85 tff(17857,plain,
% 25.13/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 25.13/16.85 inference(transitivity,[status(thm)],[17856, 17854])).
% 25.13/16.85 tff(17858,plain,
% 25.13/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))),
% 25.13/16.85 inference(quant_inst,[status(thm)],[])).
% 25.13/16.85 tff(17859,plain,
% 25.13/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107))),
% 25.13/16.85 inference(modus_ponens,[status(thm)],[17858, 17857])).
% 25.13/16.85 tff(17860,plain,
% 25.13/16.85 (v110(constB108) | (~v108(constB107))),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17859, 1082, 17853])).
% 25.13/16.85 tff(17861,plain,
% 25.13/16.85 (v110(constB108)),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17860, 17850])).
% 25.13/16.85 tff(17862,plain,
% 25.13/16.85 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17863,plain,
% 25.13/16.85 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))),
% 25.13/16.85 inference(quant_inst,[status(thm)],[])).
% 25.13/16.85 tff(17864,plain,
% 25.13/16.85 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108))),
% 25.13/16.85 inference(modus_ponens,[status(thm)],[17863, 17862])).
% 25.13/16.85 tff(17865,plain,
% 25.13/16.85 (~v104(constB108)),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17864, 1100, 17853, 17699])).
% 25.13/16.85 tff(17866,plain,
% 25.13/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17867,plain,
% 25.13/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))),
% 25.13/16.85 inference(quant_inst,[status(thm)],[])).
% 25.13/16.85 tff(17868,plain,
% 25.13/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v102(constB108) | v104(constB108)),
% 25.13/16.85 inference(modus_ponens,[status(thm)],[17867, 17866])).
% 25.13/16.85 tff(17869,plain,
% 25.13/16.85 (v102(constB108) | v104(constB108)),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17868, 1114, 17853])).
% 25.13/16.85 tff(17870,plain,
% 25.13/16.85 (v102(constB108)),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17869, 17865])).
% 25.13/16.85 tff(17871,plain,
% 25.13/16.85 (v1(constB108) <=> v1(constB108)),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17872,axiom,(v1(constB108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_108_1')).
% 25.13/16.85 tff(17873,plain,
% 25.13/16.85 (v1(constB108)),
% 25.13/16.85 inference(modus_ponens,[status(thm)],[17872, 17871])).
% 25.13/16.85 tff(17874,plain,
% 25.13/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17875,plain,
% 25.13/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))),
% 25.13/16.85 inference(quant_inst,[status(thm)],[])).
% 25.13/16.85 tff(17876,plain,
% 25.13/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108))),
% 25.13/16.85 inference(modus_ponens,[status(thm)],[17875, 17874])).
% 25.13/16.85 tff(17877,plain,
% 25.13/16.85 (v101(constB108) | (~v102(constB108))),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17876, 1129, 17853, 17873])).
% 25.13/16.85 tff(17878,plain,
% 25.13/16.85 (v101(constB108)),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17877, 17870])).
% 25.13/16.85 tff(17879,plain,
% 25.13/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17880,plain,
% 25.13/16.85 (((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108)) <=> ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17881,plain,
% 25.13/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108))))),
% 25.13/16.85 inference(monotonicity,[status(thm)],[17880])).
% 25.13/16.85 tff(17882,plain,
% 25.13/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 25.13/16.85 inference(transitivity,[status(thm)],[17881, 17879])).
% 25.13/16.85 tff(17883,plain,
% 25.13/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))),
% 25.13/16.85 inference(quant_inst,[status(thm)],[])).
% 25.13/16.85 tff(17884,plain,
% 25.13/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 25.13/16.85 inference(modus_ponens,[status(thm)],[17883, 17882])).
% 25.13/16.85 tff(17885,plain,
% 25.13/16.85 (v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17884, 1144, 17853])).
% 25.13/16.85 tff(17886,plain,
% 25.13/16.85 (v100(constB108) | (~v110(constB108))),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17885, 17878])).
% 25.13/16.85 tff(17887,plain,
% 25.13/16.85 (v100(constB108)),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17886, 17861])).
% 25.13/16.85 tff(17888,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB107)) | (~v130(constB107, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB107)) | (~v130(constB107, bitIndex2)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17889,plain,
% 25.13/16.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB107)) | (~v130(constB107, bitIndex2)))),
% 25.13/16.85 inference(quant_inst,[status(thm)],[])).
% 25.13/16.85 tff(17890,plain,
% 25.13/16.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB107)) | (~v130(constB107, bitIndex2))),
% 25.13/16.85 inference(modus_ponens,[status(thm)],[17889, 17888])).
% 25.13/16.85 tff(17891,plain,
% 25.13/16.85 (~v130(constB107, bitIndex2)),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17890, 2231, 17792])).
% 25.13/16.85 tff(17892,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17893,plain,
% 25.13/16.85 ((v26(constB107) | v130(constB107, bitIndex2) | (~v127(constB107, bitIndex2))) <=> ((~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17894,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB107) | v130(constB107, bitIndex2) | (~v127(constB107, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2)))),
% 25.13/16.85 inference(monotonicity,[status(thm)],[17893])).
% 25.13/16.85 tff(17895,plain,
% 25.13/16.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB107) | v130(constB107, bitIndex2) | (~v127(constB107, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2))),
% 25.13/16.85 inference(transitivity,[status(thm)],[17894, 17892])).
% 25.13/16.85 tff(17896,plain,
% 25.13/16.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB107) | v130(constB107, bitIndex2) | (~v127(constB107, bitIndex2)))),
% 25.13/16.85 inference(quant_inst,[status(thm)],[])).
% 25.13/16.85 tff(17897,plain,
% 25.13/16.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2)),
% 25.13/16.85 inference(modus_ponens,[status(thm)],[17896, 17895])).
% 25.13/16.85 tff(17898,plain,
% 25.13/16.85 ((~v127(constB107, bitIndex2)) | v130(constB107, bitIndex2)),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17897, 1812, 17835])).
% 25.13/16.85 tff(17899,plain,
% 25.13/16.85 (~v127(constB107, bitIndex2)),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17898, 17891])).
% 25.13/16.85 tff(17900,plain,
% 25.13/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17901,plain,
% 25.13/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2)))),
% 25.13/16.85 inference(quant_inst,[status(thm)],[])).
% 25.13/16.85 tff(17902,plain,
% 25.13/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2))),
% 25.13/16.85 inference(modus_ponens,[status(thm)],[17901, 17900])).
% 25.13/16.85 tff(17903,plain,
% 25.13/16.85 (v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2))),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17902, 1830, 17853])).
% 25.13/16.85 tff(17904,plain,
% 25.13/16.85 (~v129(constB108, bitIndex2)),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17903, 17899])).
% 25.13/16.85 tff(17905,plain,
% 25.13/16.85 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17906,plain,
% 25.13/16.85 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108)))),
% 25.13/16.85 inference(quant_inst,[status(thm)],[])).
% 25.13/16.85 tff(17907,plain,
% 25.13/16.85 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108))),
% 25.13/16.85 inference(modus_ponens,[status(thm)],[17906, 17905])).
% 25.13/16.85 tff(17908,plain,
% 25.13/16.85 ((~v90(constB108, bitIndex2)) | (~v100(constB108))),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17907, 1845, 17904])).
% 25.13/16.85 tff(17909,plain,
% 25.13/16.85 (~v90(constB108, bitIndex2)),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17908, 17887])).
% 25.13/16.85 tff(17910,plain,
% 25.13/16.85 ((~v1(constB109)) <=> (~v1(constB109))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17911,axiom,(~v1(constB109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_109_1_1')).
% 25.13/16.85 tff(17912,plain,
% 25.13/16.85 (~v1(constB109)),
% 25.13/16.85 inference(modus_ponens,[status(thm)],[17911, 17910])).
% 25.13/16.85 tff(17913,plain,
% 25.13/16.85 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17914,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_108_1')).
% 25.13/16.85 tff(17915,plain,
% 25.13/16.85 (nextState(constB108, constB109)),
% 25.13/16.85 inference(modus_ponens,[status(thm)],[17914, 17913])).
% 25.13/16.85 tff(17916,plain,
% 25.13/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17917,plain,
% 25.13/16.85 (((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109)) <=> (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17918,plain,
% 25.13/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109))))),
% 25.13/16.85 inference(monotonicity,[status(thm)],[17917])).
% 25.13/16.85 tff(17919,plain,
% 25.13/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 25.13/16.85 inference(transitivity,[status(thm)],[17918, 17916])).
% 25.13/16.85 tff(17920,plain,
% 25.13/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))),
% 25.13/16.85 inference(quant_inst,[status(thm)],[])).
% 25.13/16.85 tff(17921,plain,
% 25.13/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109))),
% 25.13/16.85 inference(modus_ponens,[status(thm)],[17920, 17919])).
% 25.13/16.85 tff(17922,plain,
% 25.13/16.85 (~v101(constB109)),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17921, 860, 17915, 17912])).
% 25.13/16.85 tff(17923,plain,
% 25.13/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17924,plain,
% 25.13/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))),
% 25.13/16.85 inference(quant_inst,[status(thm)],[])).
% 25.13/16.85 tff(17925,plain,
% 25.13/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109))),
% 25.13/16.85 inference(modus_ponens,[status(thm)],[17924, 17923])).
% 25.13/16.85 tff(17926,plain,
% 25.13/16.85 (v101(constB109) | (~v100(constB109))),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17925, 877, 17915])).
% 25.13/16.85 tff(17927,plain,
% 25.13/16.85 (~v100(constB109)),
% 25.13/16.85 inference(unit_resolution,[status(thm)],[17926, 17922])).
% 25.13/16.85 tff(17928,plain,
% 25.13/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17929,plain,
% 25.13/16.85 (((~nextState(constB108, constB109)) | v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2))) <=> (v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2)))),
% 25.13/16.85 inference(rewrite,[status(thm)],[])).
% 25.13/16.85 tff(17930,plain,
% 25.13/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2))))),
% 25.13/16.85 inference(monotonicity,[status(thm)],[17929])).
% 25.13/16.85 tff(17931,plain,
% 25.13/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2)))),
% 25.13/16.86 inference(transitivity,[status(thm)],[17930, 17928])).
% 25.13/16.86 tff(17932,plain,
% 25.13/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2)))),
% 25.13/16.86 inference(quant_inst,[status(thm)],[])).
% 25.13/16.86 tff(17933,plain,
% 25.13/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2))),
% 25.13/16.86 inference(modus_ponens,[status(thm)],[17932, 17931])).
% 25.13/16.86 tff(17934,plain,
% 25.13/16.86 (v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2))),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[17933, 892, 17915])).
% 25.13/16.86 tff(17935,plain,
% 25.13/16.86 (v90(constB108, bitIndex2) | (~v90(constB109, bitIndex2))),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[17934, 17927])).
% 25.13/16.86 tff(17936,plain,
% 25.13/16.86 (~v90(constB109, bitIndex2)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[17935, 17909])).
% 25.13/16.86 tff(17937,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB107)) | v130(constB107, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB107)) | v130(constB107, bitIndex1))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(17938,plain,
% 25.13/16.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB107)) | v130(constB107, bitIndex1))),
% 25.13/16.86 inference(quant_inst,[status(thm)],[])).
% 25.13/16.86 tff(17939,plain,
% 25.13/16.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB107)) | v130(constB107, bitIndex1)),
% 25.13/16.86 inference(modus_ponens,[status(thm)],[17938, 17937])).
% 25.13/16.86 tff(17940,plain,
% 25.13/16.86 (v130(constB107, bitIndex1)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[17939, 2034, 17792])).
% 25.13/16.86 tff(17941,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(17942,plain,
% 25.13/16.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1))),
% 25.13/16.86 inference(quant_inst,[status(thm)],[])).
% 25.13/16.86 tff(17943,plain,
% 25.13/16.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1)),
% 25.13/16.86 inference(modus_ponens,[status(thm)],[17942, 17941])).
% 25.13/16.86 tff(17944,plain,
% 25.13/16.86 ((~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[17943, 1553, 17835])).
% 25.13/16.86 tff(17945,plain,
% 25.13/16.86 (v127(constB107, bitIndex1)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[17944, 17940])).
% 25.13/16.86 tff(17946,plain,
% 25.13/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(17947,plain,
% 25.13/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1))),
% 25.13/16.86 inference(quant_inst,[status(thm)],[])).
% 25.13/16.86 tff(17948,plain,
% 25.13/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1)),
% 25.13/16.86 inference(modus_ponens,[status(thm)],[17947, 17946])).
% 25.13/16.86 tff(17949,plain,
% 25.13/16.86 ((~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[17948, 1568, 17853])).
% 25.13/16.86 tff(17950,plain,
% 25.13/16.86 (v129(constB108, bitIndex1)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[17949, 17945])).
% 25.13/16.86 tff(17951,plain,
% 25.13/16.86 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(17952,plain,
% 25.13/16.86 ((v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1))) <=> (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(17953,plain,
% 25.13/16.86 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108))))),
% 25.13/16.86 inference(monotonicity,[status(thm)],[17952])).
% 25.13/16.86 tff(17954,plain,
% 25.13/16.86 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))),
% 25.13/16.86 inference(transitivity,[status(thm)],[17953, 17951])).
% 25.13/16.86 tff(17955,plain,
% 25.13/16.86 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1)))),
% 25.13/16.86 inference(quant_inst,[status(thm)],[])).
% 25.13/16.86 tff(17956,plain,
% 25.13/16.86 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108))),
% 25.13/16.86 inference(modus_ponens,[status(thm)],[17955, 17954])).
% 25.13/16.86 tff(17957,plain,
% 25.13/16.86 (v90(constB108, bitIndex1) | (~v100(constB108))),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[17956, 1583, 17950])).
% 25.13/16.86 tff(17958,plain,
% 25.13/16.86 (v90(constB108, bitIndex1)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[17957, 17887])).
% 25.13/16.86 tff(17959,plain,
% 25.13/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(17960,plain,
% 25.13/16.86 (((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1)) <=> ((~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(17961,plain,
% 25.13/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1)))),
% 25.13/16.86 inference(monotonicity,[status(thm)],[17960])).
% 25.13/16.86 tff(17962,plain,
% 25.13/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))),
% 25.13/16.86 inference(transitivity,[status(thm)],[17961, 17959])).
% 25.13/16.86 tff(17963,plain,
% 25.13/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1))),
% 25.13/16.86 inference(quant_inst,[status(thm)],[])).
% 25.13/16.86 tff(17964,plain,
% 25.13/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1)),
% 25.13/16.86 inference(modus_ponens,[status(thm)],[17963, 17962])).
% 25.13/16.86 tff(17965,plain,
% 25.13/16.86 ((~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[17964, 1601, 17915])).
% 25.13/16.86 tff(17966,plain,
% 25.13/16.86 ((~v90(constB108, bitIndex1)) | v90(constB109, bitIndex1)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[17965, 17927])).
% 25.13/16.86 tff(17967,plain,
% 25.13/16.86 (v90(constB109, bitIndex1)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[17966, 17958])).
% 25.13/16.86 tff(17968,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB107)) | (~v130(constB107, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB107)) | (~v130(constB107, bitIndex0)))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(17969,plain,
% 25.13/16.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB107)) | (~v130(constB107, bitIndex0)))),
% 25.13/16.86 inference(quant_inst,[status(thm)],[])).
% 25.13/16.86 tff(17970,plain,
% 25.13/16.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB107)) | (~v130(constB107, bitIndex0))),
% 25.13/16.86 inference(modus_ponens,[status(thm)],[17969, 17968])).
% 25.13/16.86 tff(17971,plain,
% 25.13/16.86 (~v130(constB107, bitIndex0)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[17970, 2023, 17792])).
% 25.13/16.86 tff(17972,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(17973,plain,
% 25.13/16.86 ((v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0))) <=> ((~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(17974,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0)))),
% 25.13/16.86 inference(monotonicity,[status(thm)],[17973])).
% 25.13/16.86 tff(17975,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))),
% 25.13/16.86 inference(transitivity,[status(thm)],[17974, 17972])).
% 25.13/16.86 tff(17976,plain,
% 25.13/16.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0)))),
% 25.13/16.86 inference(quant_inst,[status(thm)],[])).
% 25.13/16.86 tff(17977,plain,
% 25.13/16.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0)),
% 25.13/16.86 inference(modus_ponens,[status(thm)],[17976, 17975])).
% 25.13/16.86 tff(17978,plain,
% 25.13/16.86 ((~v127(constB107, bitIndex0)) | v130(constB107, bitIndex0)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[17977, 1341, 17835])).
% 25.13/16.86 tff(17979,plain,
% 25.13/16.86 (~v127(constB107, bitIndex0)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[17978, 17971])).
% 25.13/16.86 tff(17980,plain,
% 25.13/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0)))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(17981,plain,
% 25.13/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0)))),
% 25.13/16.86 inference(quant_inst,[status(thm)],[])).
% 25.13/16.86 tff(17982,plain,
% 25.13/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0))),
% 25.13/16.86 inference(modus_ponens,[status(thm)],[17981, 17980])).
% 25.13/16.86 tff(17983,plain,
% 25.13/16.86 (v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0))),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[17982, 1359, 17853])).
% 25.13/16.86 tff(17984,plain,
% 25.13/16.86 (~v129(constB108, bitIndex0)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[17983, 17979])).
% 25.13/16.86 tff(17985,plain,
% 25.13/16.86 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(17986,plain,
% 25.13/16.86 (((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0)) <=> ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(17987,plain,
% 25.13/16.86 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108))))),
% 25.13/16.86 inference(monotonicity,[status(thm)],[17986])).
% 25.13/16.86 tff(17988,plain,
% 25.13/16.86 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))),
% 25.13/16.86 inference(transitivity,[status(thm)],[17987, 17985])).
% 25.13/16.86 tff(17989,plain,
% 25.13/16.86 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0))),
% 25.13/16.86 inference(quant_inst,[status(thm)],[])).
% 25.13/16.86 tff(17990,plain,
% 25.13/16.86 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108))),
% 25.13/16.86 inference(modus_ponens,[status(thm)],[17989, 17988])).
% 25.13/16.86 tff(17991,plain,
% 25.13/16.86 ((~v90(constB108, bitIndex0)) | (~v100(constB108))),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[17990, 1374, 17984])).
% 25.13/16.86 tff(17992,plain,
% 25.13/16.86 (~v90(constB108, bitIndex0)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[17991, 17887])).
% 25.13/16.86 tff(17993,plain,
% 25.13/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(17994,plain,
% 25.13/16.86 (((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0))) <=> (v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(17995,plain,
% 25.13/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0))))),
% 25.13/16.86 inference(monotonicity,[status(thm)],[17994])).
% 25.13/16.86 tff(17996,plain,
% 25.13/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 25.13/16.86 inference(transitivity,[status(thm)],[17995, 17993])).
% 25.13/16.86 tff(17997,plain,
% 25.13/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 25.13/16.86 inference(quant_inst,[status(thm)],[])).
% 25.13/16.86 tff(17998,plain,
% 25.13/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0))),
% 25.13/16.86 inference(modus_ponens,[status(thm)],[17997, 17996])).
% 25.13/16.86 tff(17999,plain,
% 25.13/16.86 (v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0))),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[17998, 934, 17915])).
% 25.13/16.86 tff(18000,plain,
% 25.13/16.86 (v90(constB108, bitIndex0) | (~v90(constB109, bitIndex0))),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[17999, 17927])).
% 25.13/16.86 tff(18001,plain,
% 25.13/16.86 (~v90(constB109, bitIndex0)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[18000, 17992])).
% 25.13/16.86 tff(18002,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(18003,plain,
% 25.13/16.86 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109))),
% 25.13/16.86 inference(quant_inst,[status(thm)],[])).
% 25.13/16.86 tff(18004,plain,
% 25.13/16.86 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109)),
% 25.13/16.86 inference(modus_ponens,[status(thm)],[18003, 18002])).
% 25.13/16.86 tff(18005,plain,
% 25.13/16.86 (v121(constB109)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[18004, 2145, 18001, 17967, 17936])).
% 25.13/16.86 tff(18006,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB109) | (~v121(constB109)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB109) | (~v121(constB109)))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(18007,plain,
% 25.13/16.86 (((~v121(constB109)) | v117(constB109)) <=> (v117(constB109) | (~v121(constB109)))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(18008,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB109)) | v117(constB109))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB109) | (~v121(constB109))))),
% 25.13/16.86 inference(monotonicity,[status(thm)],[18007])).
% 25.13/16.86 tff(18009,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB109)) | v117(constB109))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB109) | (~v121(constB109)))),
% 25.13/16.86 inference(transitivity,[status(thm)],[18008, 18006])).
% 25.13/16.86 tff(18010,plain,
% 25.13/16.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB109)) | v117(constB109))),
% 25.13/16.86 inference(quant_inst,[status(thm)],[])).
% 25.13/16.86 tff(18011,plain,
% 25.13/16.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB109) | (~v121(constB109))),
% 25.13/16.86 inference(modus_ponens,[status(thm)],[18010, 18009])).
% 25.13/16.86 tff(18012,plain,
% 25.13/16.86 (v117(constB109)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[18011, 2102, 18005])).
% 25.13/16.86 tff(18013,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB109) | (~v117(constB109)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB109) | (~v117(constB109)))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(18014,plain,
% 25.13/16.86 (((~v117(constB109)) | v116(constB109)) <=> (v116(constB109) | (~v117(constB109)))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(18015,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB109)) | v116(constB109))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB109) | (~v117(constB109))))),
% 25.13/16.86 inference(monotonicity,[status(thm)],[18014])).
% 25.13/16.86 tff(18016,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB109)) | v116(constB109))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB109) | (~v117(constB109)))),
% 25.13/16.86 inference(transitivity,[status(thm)],[18015, 18013])).
% 25.13/16.86 tff(18017,plain,
% 25.13/16.86 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB109)) | v116(constB109))),
% 25.13/16.86 inference(quant_inst,[status(thm)],[])).
% 25.13/16.86 tff(18018,plain,
% 25.13/16.86 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB109) | (~v117(constB109))),
% 25.13/16.86 inference(modus_ponens,[status(thm)],[18017, 18016])).
% 25.13/16.86 tff(18019,plain,
% 25.13/16.86 (v116(constB109)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[18018, 994, 18012])).
% 25.13/16.86 tff(18020,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB109) | (~v116(constB109)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB109) | (~v116(constB109)))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(18021,plain,
% 25.13/16.86 (((~v116(constB109)) | v115(constB109)) <=> (v115(constB109) | (~v116(constB109)))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(18022,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB109)) | v115(constB109))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB109) | (~v116(constB109))))),
% 25.13/16.86 inference(monotonicity,[status(thm)],[18021])).
% 25.13/16.86 tff(18023,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB109)) | v115(constB109))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB109) | (~v116(constB109)))),
% 25.13/16.86 inference(transitivity,[status(thm)],[18022, 18020])).
% 25.13/16.86 tff(18024,plain,
% 25.13/16.86 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB109)) | v115(constB109))),
% 25.13/16.86 inference(quant_inst,[status(thm)],[])).
% 25.13/16.86 tff(18025,plain,
% 25.13/16.86 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB109) | (~v116(constB109))),
% 25.13/16.86 inference(modus_ponens,[status(thm)],[18024, 18023])).
% 25.13/16.86 tff(18026,plain,
% 25.13/16.86 (v115(constB109)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[18025, 1008, 18019])).
% 25.13/16.86 tff(18027,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB109)) | v114(constB109))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB109)) | v114(constB109))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(18028,plain,
% 25.13/16.86 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB109)) | v114(constB109))),
% 25.13/16.86 inference(quant_inst,[status(thm)],[])).
% 25.13/16.86 tff(18029,plain,
% 25.13/16.86 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB109)) | v114(constB109)),
% 25.13/16.86 inference(modus_ponens,[status(thm)],[18028, 18027])).
% 25.13/16.86 tff(18030,plain,
% 25.13/16.86 (v114(constB109)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[18029, 1022, 18026])).
% 25.13/16.86 tff(18031,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB109) | (~v114(constB109)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB109) | (~v114(constB109)))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(18032,plain,
% 25.13/16.86 (((~v114(constB109)) | v113(constB109)) <=> (v113(constB109) | (~v114(constB109)))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(18033,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB109)) | v113(constB109))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB109) | (~v114(constB109))))),
% 25.13/16.86 inference(monotonicity,[status(thm)],[18032])).
% 25.13/16.86 tff(18034,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB109)) | v113(constB109))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB109) | (~v114(constB109)))),
% 25.13/16.86 inference(transitivity,[status(thm)],[18033, 18031])).
% 25.13/16.86 tff(18035,plain,
% 25.13/16.86 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB109)) | v113(constB109))),
% 25.13/16.86 inference(quant_inst,[status(thm)],[])).
% 25.13/16.86 tff(18036,plain,
% 25.13/16.86 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB109) | (~v114(constB109))),
% 25.13/16.86 inference(modus_ponens,[status(thm)],[18035, 18034])).
% 25.13/16.86 tff(18037,plain,
% 25.13/16.86 (v113(constB109)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[18036, 1036, 18030])).
% 25.13/16.86 tff(18038,assumption,(v26(constB109)), introduced(assumption)).
% 25.13/16.86 tff(18039,plain,
% 25.13/16.86 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB109))),
% 25.13/16.86 inference(quant_inst,[status(thm)],[])).
% 25.13/16.86 tff(18040,plain,
% 25.13/16.86 ($false),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[18039, 797, 18038])).
% 25.13/16.86 tff(18041,plain,(~v26(constB109)), inference(lemma,lemma(discharge,[]))).
% 25.13/16.86 tff(18042,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | v112(constB109) | (~v113(constB109)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | v112(constB109) | (~v113(constB109)))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(18043,plain,
% 25.13/16.86 ((v26(constB109) | (~v113(constB109)) | v112(constB109)) <=> (v26(constB109) | v112(constB109) | (~v113(constB109)))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(18044,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | v112(constB109) | (~v113(constB109))))),
% 25.13/16.86 inference(monotonicity,[status(thm)],[18043])).
% 25.13/16.86 tff(18045,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | v112(constB109) | (~v113(constB109)))),
% 25.13/16.86 inference(transitivity,[status(thm)],[18044, 18042])).
% 25.13/16.86 tff(18046,plain,
% 25.13/16.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))),
% 25.13/16.86 inference(quant_inst,[status(thm)],[])).
% 25.13/16.86 tff(18047,plain,
% 25.13/16.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | v112(constB109) | (~v113(constB109))),
% 25.13/16.86 inference(modus_ponens,[status(thm)],[18046, 18045])).
% 25.13/16.86 tff(18048,plain,
% 25.13/16.86 (v112(constB109) | (~v113(constB109))),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[18047, 1050, 18041])).
% 25.13/16.86 tff(18049,plain,
% 25.13/16.86 (v112(constB109)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[18048, 18037])).
% 25.13/16.86 tff(18050,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB109) | (~v112(constB109)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB109) | (~v112(constB109)))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(18051,plain,
% 25.13/16.86 (((~v112(constB109)) | v108(constB109)) <=> (v108(constB109) | (~v112(constB109)))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(18052,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB109)) | v108(constB109))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB109) | (~v112(constB109))))),
% 25.13/16.86 inference(monotonicity,[status(thm)],[18051])).
% 25.13/16.86 tff(18053,plain,
% 25.13/16.86 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB109)) | v108(constB109))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB109) | (~v112(constB109)))),
% 25.13/16.86 inference(transitivity,[status(thm)],[18052, 18050])).
% 25.13/16.86 tff(18054,plain,
% 25.13/16.86 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB109)) | v108(constB109))),
% 25.13/16.86 inference(quant_inst,[status(thm)],[])).
% 25.13/16.86 tff(18055,plain,
% 25.13/16.86 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB109) | (~v112(constB109))),
% 25.13/16.86 inference(modus_ponens,[status(thm)],[18054, 18053])).
% 25.13/16.86 tff(18056,plain,
% 25.13/16.86 (v108(constB109)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[18055, 1062, 18049])).
% 25.13/16.86 tff(18057,plain,
% 25.13/16.86 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(18058,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_109_1')).
% 25.13/16.86 tff(18059,plain,
% 25.13/16.86 (nextState(constB109, constB110)),
% 25.13/16.86 inference(modus_ponens,[status(thm)],[18058, 18057])).
% 25.13/16.86 tff(18060,plain,
% 25.13/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(18061,plain,
% 25.13/16.86 (((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110)) <=> ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(18062,plain,
% 25.13/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109))))),
% 25.13/16.86 inference(monotonicity,[status(thm)],[18061])).
% 25.13/16.86 tff(18063,plain,
% 25.13/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 25.13/16.86 inference(transitivity,[status(thm)],[18062, 18060])).
% 25.13/16.86 tff(18064,plain,
% 25.13/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))),
% 25.13/16.86 inference(quant_inst,[status(thm)],[])).
% 25.13/16.86 tff(18065,plain,
% 25.13/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109))),
% 25.13/16.86 inference(modus_ponens,[status(thm)],[18064, 18063])).
% 25.13/16.86 tff(18066,plain,
% 25.13/16.86 (v110(constB110) | (~v108(constB109))),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[18065, 1082, 18059])).
% 25.13/16.86 tff(18067,plain,
% 25.13/16.86 (v110(constB110)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[18066, 18056])).
% 25.13/16.86 tff(18068,plain,
% 25.13/16.86 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(18069,plain,
% 25.13/16.86 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))),
% 25.13/16.86 inference(quant_inst,[status(thm)],[])).
% 25.13/16.86 tff(18070,plain,
% 25.13/16.86 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110))),
% 25.13/16.86 inference(modus_ponens,[status(thm)],[18069, 18068])).
% 25.13/16.86 tff(18071,plain,
% 25.13/16.86 (~v104(constB110)),
% 25.13/16.86 inference(unit_resolution,[status(thm)],[18070, 1100, 18059, 17912])).
% 25.13/16.86 tff(18072,plain,
% 25.13/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))),
% 25.13/16.86 inference(rewrite,[status(thm)],[])).
% 25.13/16.86 tff(18073,plain,
% 25.13/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))),
% 25.13/16.87 inference(quant_inst,[status(thm)],[])).
% 25.13/16.87 tff(18074,plain,
% 25.13/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v102(constB110) | v104(constB110)),
% 25.13/16.87 inference(modus_ponens,[status(thm)],[18073, 18072])).
% 25.13/16.87 tff(18075,plain,
% 25.13/16.87 (v102(constB110) | v104(constB110)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18074, 1114, 18059])).
% 25.13/16.87 tff(18076,plain,
% 25.13/16.87 (v102(constB110)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18075, 18071])).
% 25.13/16.87 tff(18077,plain,
% 25.13/16.87 (v1(constB110) <=> v1(constB110)),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18078,axiom,(v1(constB110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_110_1')).
% 25.13/16.87 tff(18079,plain,
% 25.13/16.87 (v1(constB110)),
% 25.13/16.87 inference(modus_ponens,[status(thm)],[18078, 18077])).
% 25.13/16.87 tff(18080,plain,
% 25.13/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18081,plain,
% 25.13/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))),
% 25.13/16.87 inference(quant_inst,[status(thm)],[])).
% 25.13/16.87 tff(18082,plain,
% 25.13/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110))),
% 25.13/16.87 inference(modus_ponens,[status(thm)],[18081, 18080])).
% 25.13/16.87 tff(18083,plain,
% 25.13/16.87 (v101(constB110) | (~v102(constB110))),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18082, 1129, 18059, 18079])).
% 25.13/16.87 tff(18084,plain,
% 25.13/16.87 (v101(constB110)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18083, 18076])).
% 25.13/16.87 tff(18085,plain,
% 25.13/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18086,plain,
% 25.13/16.87 (((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110)) <=> ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18087,plain,
% 25.13/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110))))),
% 25.13/16.87 inference(monotonicity,[status(thm)],[18086])).
% 25.13/16.87 tff(18088,plain,
% 25.13/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 25.13/16.87 inference(transitivity,[status(thm)],[18087, 18085])).
% 25.13/16.87 tff(18089,plain,
% 25.13/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))),
% 25.13/16.87 inference(quant_inst,[status(thm)],[])).
% 25.13/16.87 tff(18090,plain,
% 25.13/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 25.13/16.87 inference(modus_ponens,[status(thm)],[18089, 18088])).
% 25.13/16.87 tff(18091,plain,
% 25.13/16.87 (v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18090, 1144, 18059])).
% 25.13/16.87 tff(18092,plain,
% 25.13/16.87 (v100(constB110) | (~v110(constB110))),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18091, 18084])).
% 25.13/16.87 tff(18093,plain,
% 25.13/16.87 (v100(constB110)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18092, 18067])).
% 25.13/16.87 tff(18094,plain,
% 25.13/16.87 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB109)) | (~v130(constB109, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB109)) | (~v130(constB109, bitIndex2)))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18095,plain,
% 25.13/16.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB109)) | (~v130(constB109, bitIndex2)))),
% 25.13/16.87 inference(quant_inst,[status(thm)],[])).
% 25.13/16.87 tff(18096,plain,
% 25.13/16.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB109)) | (~v130(constB109, bitIndex2))),
% 25.13/16.87 inference(modus_ponens,[status(thm)],[18095, 18094])).
% 25.13/16.87 tff(18097,plain,
% 25.13/16.87 (~v130(constB109, bitIndex2)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18096, 2406, 18005])).
% 25.13/16.87 tff(18098,assumption,(v127(constB109, bitIndex2)), introduced(assumption)).
% 25.13/16.87 tff(18099,assumption,(~v130(constB109, bitIndex2)), introduced(assumption)).
% 25.13/16.87 tff(18100,plain,
% 25.13/16.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18101,plain,
% 25.13/16.87 ((v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2))) <=> ((~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18102,plain,
% 25.13/16.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2)))),
% 25.13/16.87 inference(monotonicity,[status(thm)],[18101])).
% 25.13/16.87 tff(18103,plain,
% 25.13/16.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))),
% 25.13/16.87 inference(transitivity,[status(thm)],[18102, 18100])).
% 25.13/16.87 tff(18104,plain,
% 25.13/16.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2)))),
% 25.13/16.87 inference(quant_inst,[status(thm)],[])).
% 25.13/16.87 tff(18105,plain,
% 25.13/16.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2)),
% 25.13/16.87 inference(modus_ponens,[status(thm)],[18104, 18103])).
% 25.13/16.87 tff(18106,plain,
% 25.13/16.87 ((~v127(constB109, bitIndex2)) | v26(constB109)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18105, 1812, 18099])).
% 25.13/16.87 tff(18107,plain,
% 25.13/16.87 (v26(constB109)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18106, 18098])).
% 25.13/16.87 tff(18108,plain,
% 25.13/16.87 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB109)) | (~v127(constB109, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB109)) | (~v127(constB109, bitIndex2)))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18109,plain,
% 25.13/16.87 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB109)) | (~v127(constB109, bitIndex2)))),
% 25.13/16.87 inference(quant_inst,[status(thm)],[])).
% 25.13/16.87 tff(18110,plain,
% 25.13/16.87 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB109)) | (~v127(constB109, bitIndex2))),
% 25.13/16.87 inference(modus_ponens,[status(thm)],[18109, 18108])).
% 25.13/16.87 tff(18111,plain,
% 25.13/16.87 ($false),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18110, 3714, 18098, 18107])).
% 25.13/16.87 tff(18112,plain,((~v127(constB109, bitIndex2)) | v130(constB109, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.13/16.87 tff(18113,plain,
% 25.13/16.87 (~v127(constB109, bitIndex2)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18112, 18097])).
% 25.13/16.87 tff(18114,plain,
% 25.13/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2)))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18115,plain,
% 25.13/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2)))),
% 25.13/16.87 inference(quant_inst,[status(thm)],[])).
% 25.13/16.87 tff(18116,plain,
% 25.13/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2))),
% 25.13/16.87 inference(modus_ponens,[status(thm)],[18115, 18114])).
% 25.13/16.87 tff(18117,plain,
% 25.13/16.87 (v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2))),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18116, 1830, 18059])).
% 25.13/16.87 tff(18118,plain,
% 25.13/16.87 (~v129(constB110, bitIndex2)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18117, 18113])).
% 25.13/16.87 tff(18119,plain,
% 25.13/16.87 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18120,plain,
% 25.13/16.87 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))),
% 25.13/16.87 inference(quant_inst,[status(thm)],[])).
% 25.13/16.87 tff(18121,plain,
% 25.13/16.87 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110))),
% 25.13/16.87 inference(modus_ponens,[status(thm)],[18120, 18119])).
% 25.13/16.87 tff(18122,plain,
% 25.13/16.87 ((~v90(constB110, bitIndex2)) | (~v100(constB110))),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18121, 1845, 18118])).
% 25.13/16.87 tff(18123,plain,
% 25.13/16.87 (~v90(constB110, bitIndex2)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18122, 18093])).
% 25.13/16.87 tff(18124,plain,
% 25.13/16.87 ((~v1(constB111)) <=> (~v1(constB111))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18125,axiom,(~v1(constB111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_111_1_1')).
% 25.13/16.87 tff(18126,plain,
% 25.13/16.87 (~v1(constB111)),
% 25.13/16.87 inference(modus_ponens,[status(thm)],[18125, 18124])).
% 25.13/16.87 tff(18127,plain,
% 25.13/16.87 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18128,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_110_1')).
% 25.13/16.87 tff(18129,plain,
% 25.13/16.87 (nextState(constB110, constB111)),
% 25.13/16.87 inference(modus_ponens,[status(thm)],[18128, 18127])).
% 25.13/16.87 tff(18130,plain,
% 25.13/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18131,plain,
% 25.13/16.87 (((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111)) <=> (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18132,plain,
% 25.13/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111))))),
% 25.13/16.87 inference(monotonicity,[status(thm)],[18131])).
% 25.13/16.87 tff(18133,plain,
% 25.13/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 25.13/16.87 inference(transitivity,[status(thm)],[18132, 18130])).
% 25.13/16.87 tff(18134,plain,
% 25.13/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))),
% 25.13/16.87 inference(quant_inst,[status(thm)],[])).
% 25.13/16.87 tff(18135,plain,
% 25.13/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111))),
% 25.13/16.87 inference(modus_ponens,[status(thm)],[18134, 18133])).
% 25.13/16.87 tff(18136,plain,
% 25.13/16.87 (~v101(constB111)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18135, 860, 18129, 18126])).
% 25.13/16.87 tff(18137,plain,
% 25.13/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18138,plain,
% 25.13/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))),
% 25.13/16.87 inference(quant_inst,[status(thm)],[])).
% 25.13/16.87 tff(18139,plain,
% 25.13/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111))),
% 25.13/16.87 inference(modus_ponens,[status(thm)],[18138, 18137])).
% 25.13/16.87 tff(18140,plain,
% 25.13/16.87 (v101(constB111) | (~v100(constB111))),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18139, 877, 18129])).
% 25.13/16.87 tff(18141,plain,
% 25.13/16.87 (~v100(constB111)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18140, 18136])).
% 25.13/16.87 tff(18142,plain,
% 25.13/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18143,plain,
% 25.13/16.87 (((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2))) <=> (v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18144,plain,
% 25.13/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2))))),
% 25.13/16.87 inference(monotonicity,[status(thm)],[18143])).
% 25.13/16.87 tff(18145,plain,
% 25.13/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 25.13/16.87 inference(transitivity,[status(thm)],[18144, 18142])).
% 25.13/16.87 tff(18146,plain,
% 25.13/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 25.13/16.87 inference(quant_inst,[status(thm)],[])).
% 25.13/16.87 tff(18147,plain,
% 25.13/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2))),
% 25.13/16.87 inference(modus_ponens,[status(thm)],[18146, 18145])).
% 25.13/16.87 tff(18148,plain,
% 25.13/16.87 (v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2))),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18147, 892, 18129])).
% 25.13/16.87 tff(18149,plain,
% 25.13/16.87 (v90(constB110, bitIndex2) | (~v90(constB111, bitIndex2))),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18148, 18141])).
% 25.13/16.87 tff(18150,plain,
% 25.13/16.87 (~v90(constB111, bitIndex2)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18149, 18123])).
% 25.13/16.87 tff(18151,plain,
% 25.13/16.87 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB109)) | v130(constB109, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB109)) | v130(constB109, bitIndex1))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18152,plain,
% 25.13/16.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB109)) | v130(constB109, bitIndex1))),
% 25.13/16.87 inference(quant_inst,[status(thm)],[])).
% 25.13/16.87 tff(18153,plain,
% 25.13/16.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB109)) | v130(constB109, bitIndex1)),
% 25.13/16.87 inference(modus_ponens,[status(thm)],[18152, 18151])).
% 25.13/16.87 tff(18154,plain,
% 25.13/16.87 (v130(constB109, bitIndex1)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18153, 2562, 18005])).
% 25.13/16.87 tff(18155,plain,
% 25.13/16.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB109) | (~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB109) | (~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18156,plain,
% 25.13/16.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB109) | (~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1))),
% 25.13/16.87 inference(quant_inst,[status(thm)],[])).
% 25.13/16.87 tff(18157,plain,
% 25.13/16.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB109) | (~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1)),
% 25.13/16.87 inference(modus_ponens,[status(thm)],[18156, 18155])).
% 25.13/16.87 tff(18158,plain,
% 25.13/16.87 ((~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18157, 1553, 18041])).
% 25.13/16.87 tff(18159,plain,
% 25.13/16.87 (v127(constB109, bitIndex1)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18158, 18154])).
% 25.13/16.87 tff(18160,plain,
% 25.13/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18161,plain,
% 25.13/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1))),
% 25.13/16.87 inference(quant_inst,[status(thm)],[])).
% 25.13/16.87 tff(18162,plain,
% 25.13/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1)),
% 25.13/16.87 inference(modus_ponens,[status(thm)],[18161, 18160])).
% 25.13/16.87 tff(18163,plain,
% 25.13/16.87 ((~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18162, 1568, 18059])).
% 25.13/16.87 tff(18164,plain,
% 25.13/16.87 (v129(constB110, bitIndex1)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18163, 18159])).
% 25.13/16.87 tff(18165,plain,
% 25.13/16.87 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110)))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18166,plain,
% 25.13/16.87 ((v90(constB110, bitIndex1) | (~v100(constB110)) | (~v129(constB110, bitIndex1))) <=> (v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110)))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18167,plain,
% 25.13/16.87 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v100(constB110)) | (~v129(constB110, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110))))),
% 25.13/16.87 inference(monotonicity,[status(thm)],[18166])).
% 25.13/16.87 tff(18168,plain,
% 25.13/16.87 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v100(constB110)) | (~v129(constB110, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110)))),
% 25.13/16.87 inference(transitivity,[status(thm)],[18167, 18165])).
% 25.13/16.87 tff(18169,plain,
% 25.13/16.87 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v100(constB110)) | (~v129(constB110, bitIndex1)))),
% 25.13/16.87 inference(quant_inst,[status(thm)],[])).
% 25.13/16.87 tff(18170,plain,
% 25.13/16.87 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110))),
% 25.13/16.87 inference(modus_ponens,[status(thm)],[18169, 18168])).
% 25.13/16.87 tff(18171,plain,
% 25.13/16.87 (v90(constB110, bitIndex1) | (~v100(constB110))),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18170, 1583, 18164])).
% 25.13/16.87 tff(18172,plain,
% 25.13/16.87 (v90(constB110, bitIndex1)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18171, 18093])).
% 25.13/16.87 tff(18173,plain,
% 25.13/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex1))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18174,plain,
% 25.13/16.87 (((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex1)) | v100(constB111) | v90(constB111, bitIndex1)) <=> ((~v90(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex1))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18175,plain,
% 25.13/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex1)) | v100(constB111) | v90(constB111, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex1)))),
% 25.13/16.87 inference(monotonicity,[status(thm)],[18174])).
% 25.13/16.87 tff(18176,plain,
% 25.13/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex1)) | v100(constB111) | v90(constB111, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex1))),
% 25.13/16.87 inference(transitivity,[status(thm)],[18175, 18173])).
% 25.13/16.87 tff(18177,plain,
% 25.13/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex1)) | v100(constB111) | v90(constB111, bitIndex1))),
% 25.13/16.87 inference(quant_inst,[status(thm)],[])).
% 25.13/16.87 tff(18178,plain,
% 25.13/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex1)),
% 25.13/16.87 inference(modus_ponens,[status(thm)],[18177, 18176])).
% 25.13/16.87 tff(18179,plain,
% 25.13/16.87 ((~v90(constB110, bitIndex1)) | v100(constB111) | v90(constB111, bitIndex1)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18178, 1601, 18129])).
% 25.13/16.87 tff(18180,plain,
% 25.13/16.87 ((~v90(constB110, bitIndex1)) | v90(constB111, bitIndex1)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18179, 18141])).
% 25.13/16.87 tff(18181,plain,
% 25.13/16.87 (v90(constB111, bitIndex1)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18180, 18172])).
% 25.13/16.87 tff(18182,plain,
% 25.13/16.87 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB109)) | v130(constB109, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB109)) | v130(constB109, bitIndex0))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18183,plain,
% 25.13/16.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB109)) | v130(constB109, bitIndex0))),
% 25.13/16.87 inference(quant_inst,[status(thm)],[])).
% 25.13/16.87 tff(18184,plain,
% 25.13/16.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB109)) | v130(constB109, bitIndex0)),
% 25.13/16.87 inference(modus_ponens,[status(thm)],[18183, 18182])).
% 25.13/16.87 tff(18185,plain,
% 25.13/16.87 (v130(constB109, bitIndex0)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18184, 2600, 18005])).
% 25.13/16.87 tff(18186,plain,
% 25.13/16.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18187,plain,
% 25.13/16.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0))),
% 25.13/16.87 inference(quant_inst,[status(thm)],[])).
% 25.13/16.87 tff(18188,plain,
% 25.13/16.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0)),
% 25.13/16.87 inference(modus_ponens,[status(thm)],[18187, 18186])).
% 25.13/16.87 tff(18189,plain,
% 25.13/16.87 ((~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18188, 1945, 18041])).
% 25.13/16.87 tff(18190,plain,
% 25.13/16.87 (v127(constB109, bitIndex0)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18189, 18185])).
% 25.13/16.87 tff(18191,plain,
% 25.13/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.87 tff(18192,plain,
% 25.13/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0))),
% 25.13/16.87 inference(quant_inst,[status(thm)],[])).
% 25.13/16.87 tff(18193,plain,
% 25.13/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0)),
% 25.13/16.87 inference(modus_ponens,[status(thm)],[18192, 18191])).
% 25.13/16.87 tff(18194,plain,
% 25.13/16.87 ((~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18193, 1960, 18059])).
% 25.13/16.87 tff(18195,plain,
% 25.13/16.87 (v129(constB110, bitIndex0)),
% 25.13/16.87 inference(unit_resolution,[status(thm)],[18194, 18190])).
% 25.13/16.87 tff(18196,plain,
% 25.13/16.87 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))),
% 25.13/16.87 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18197,plain,
% 25.13/16.88 ((v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0))) <=> (v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18198,plain,
% 25.13/16.88 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110))))),
% 25.13/16.88 inference(monotonicity,[status(thm)],[18197])).
% 25.13/16.88 tff(18199,plain,
% 25.13/16.88 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))),
% 25.13/16.88 inference(transitivity,[status(thm)],[18198, 18196])).
% 25.13/16.88 tff(18200,plain,
% 25.13/16.88 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0)))),
% 25.13/16.88 inference(quant_inst,[status(thm)],[])).
% 25.13/16.88 tff(18201,plain,
% 25.13/16.88 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110))),
% 25.13/16.88 inference(modus_ponens,[status(thm)],[18200, 18199])).
% 25.13/16.88 tff(18202,plain,
% 25.13/16.88 (v90(constB110, bitIndex0) | (~v100(constB110))),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18201, 1975, 18195])).
% 25.13/16.88 tff(18203,plain,
% 25.13/16.88 (v90(constB110, bitIndex0)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18202, 18093])).
% 25.13/16.88 tff(18204,plain,
% 25.13/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18205,plain,
% 25.13/16.88 (((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0)) <=> ((~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18206,plain,
% 25.13/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0)))),
% 25.13/16.88 inference(monotonicity,[status(thm)],[18205])).
% 25.13/16.88 tff(18207,plain,
% 25.13/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))),
% 25.13/16.88 inference(transitivity,[status(thm)],[18206, 18204])).
% 25.13/16.88 tff(18208,plain,
% 25.13/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0))),
% 25.13/16.88 inference(quant_inst,[status(thm)],[])).
% 25.13/16.88 tff(18209,plain,
% 25.13/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0)),
% 25.13/16.88 inference(modus_ponens,[status(thm)],[18208, 18207])).
% 25.13/16.88 tff(18210,plain,
% 25.13/16.88 ((~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18209, 1993, 18129])).
% 25.13/16.88 tff(18211,plain,
% 25.13/16.88 ((~v90(constB110, bitIndex0)) | v90(constB111, bitIndex0)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18210, 18141])).
% 25.13/16.88 tff(18212,plain,
% 25.13/16.88 (v90(constB111, bitIndex0)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18211, 18203])).
% 25.13/16.88 tff(18213,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v122(constB111))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v122(constB111))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18214,plain,
% 25.13/16.88 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v122(constB111))),
% 25.13/16.88 inference(quant_inst,[status(thm)],[])).
% 25.13/16.88 tff(18215,plain,
% 25.13/16.88 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v122(constB111)),
% 25.13/16.88 inference(modus_ponens,[status(thm)],[18214, 18213])).
% 25.13/16.88 tff(18216,plain,
% 25.13/16.88 (v122(constB111)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18215, 2641, 18212, 18181, 18150])).
% 25.13/16.88 tff(18217,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB111)) | v130(constB111, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB111)) | v130(constB111, bitIndex2))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18218,plain,
% 25.13/16.88 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB111)) | v130(constB111, bitIndex2))),
% 25.13/16.88 inference(quant_inst,[status(thm)],[])).
% 25.13/16.88 tff(18219,plain,
% 25.13/16.88 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB111)) | v130(constB111, bitIndex2)),
% 25.13/16.88 inference(modus_ponens,[status(thm)],[18218, 18217])).
% 25.13/16.88 tff(18220,plain,
% 25.13/16.88 (v130(constB111, bitIndex2)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18219, 2736, 18216])).
% 25.13/16.88 tff(18221,assumption,(v26(constB111)), introduced(assumption)).
% 25.13/16.88 tff(18222,plain,
% 25.13/16.88 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB111))),
% 25.13/16.88 inference(quant_inst,[status(thm)],[])).
% 25.13/16.88 tff(18223,plain,
% 25.13/16.88 ($false),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18222, 797, 18221])).
% 25.13/16.88 tff(18224,plain,(~v26(constB111)), inference(lemma,lemma(discharge,[]))).
% 25.13/16.88 tff(18225,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB111) | (~v130(constB111, bitIndex2)) | v127(constB111, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB111) | (~v130(constB111, bitIndex2)) | v127(constB111, bitIndex2))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18226,plain,
% 25.13/16.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB111) | (~v130(constB111, bitIndex2)) | v127(constB111, bitIndex2))),
% 25.13/16.88 inference(quant_inst,[status(thm)],[])).
% 25.13/16.88 tff(18227,plain,
% 25.13/16.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB111) | (~v130(constB111, bitIndex2)) | v127(constB111, bitIndex2)),
% 25.13/16.88 inference(modus_ponens,[status(thm)],[18226, 18225])).
% 25.13/16.88 tff(18228,plain,
% 25.13/16.88 ((~v130(constB111, bitIndex2)) | v127(constB111, bitIndex2)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18227, 1174, 18224])).
% 25.13/16.88 tff(18229,plain,
% 25.13/16.88 (v127(constB111, bitIndex2)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18228, 18220])).
% 25.13/16.88 tff(18230,plain,
% 25.13/16.88 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18231,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_111_1')).
% 25.13/16.88 tff(18232,plain,
% 25.13/16.88 (nextState(constB111, constB112)),
% 25.13/16.88 inference(modus_ponens,[status(thm)],[18231, 18230])).
% 25.13/16.88 tff(18233,plain,
% 25.13/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB111, constB112)) | (~v127(constB111, bitIndex2)) | v129(constB112, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB111, constB112)) | (~v127(constB111, bitIndex2)) | v129(constB112, bitIndex2))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18234,plain,
% 25.13/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB111, constB112)) | (~v127(constB111, bitIndex2)) | v129(constB112, bitIndex2))),
% 25.13/16.88 inference(quant_inst,[status(thm)],[])).
% 25.13/16.88 tff(18235,plain,
% 25.13/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB111, constB112)) | (~v127(constB111, bitIndex2)) | v129(constB112, bitIndex2)),
% 25.13/16.88 inference(modus_ponens,[status(thm)],[18234, 18233])).
% 25.13/16.88 tff(18236,plain,
% 25.13/16.88 ((~v127(constB111, bitIndex2)) | v129(constB112, bitIndex2)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18235, 1189, 18232])).
% 25.13/16.88 tff(18237,plain,
% 25.13/16.88 (v129(constB112, bitIndex2)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18236, 18229])).
% 25.13/16.88 tff(18238,assumption,(~v90(constB111, bitIndex2)), introduced(assumption)).
% 25.13/16.88 tff(18239,assumption,(~v110(constB112)), introduced(assumption)).
% 25.13/16.88 tff(18240,plain,
% 25.13/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB111, constB112)) | v110(constB112) | (~v100(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v100(constB112)))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18241,plain,
% 25.13/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB111, constB112)) | v110(constB112) | (~v100(constB112)))),
% 25.13/16.88 inference(quant_inst,[status(thm)],[])).
% 25.13/16.88 tff(18242,plain,
% 25.13/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v100(constB112))),
% 25.13/16.88 inference(modus_ponens,[status(thm)],[18241, 18240])).
% 25.13/16.88 tff(18243,plain,
% 25.13/16.88 (v110(constB112) | (~v100(constB112))),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18242, 5632, 18232])).
% 25.13/16.88 tff(18244,plain,
% 25.13/16.88 (~v100(constB112)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18243, 18239])).
% 25.13/16.88 tff(18245,assumption,(~v90(constB112, bitIndex0)), introduced(assumption)).
% 25.13/16.88 tff(18246,plain,
% 25.13/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB111, bitIndex0)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB111, bitIndex0)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex0))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18247,plain,
% 25.13/16.88 (((~nextState(constB111, constB112)) | (~v90(constB111, bitIndex0)) | v100(constB112) | v90(constB112, bitIndex0)) <=> ((~v90(constB111, bitIndex0)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex0))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18248,plain,
% 25.13/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB111, constB112)) | (~v90(constB111, bitIndex0)) | v100(constB112) | v90(constB112, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB111, bitIndex0)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex0)))),
% 25.13/16.88 inference(monotonicity,[status(thm)],[18247])).
% 25.13/16.88 tff(18249,plain,
% 25.13/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB111, constB112)) | (~v90(constB111, bitIndex0)) | v100(constB112) | v90(constB112, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB111, bitIndex0)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex0))),
% 25.13/16.88 inference(transitivity,[status(thm)],[18248, 18246])).
% 25.13/16.88 tff(18250,plain,
% 25.13/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB111, constB112)) | (~v90(constB111, bitIndex0)) | v100(constB112) | v90(constB112, bitIndex0))),
% 25.13/16.88 inference(quant_inst,[status(thm)],[])).
% 25.13/16.88 tff(18251,plain,
% 25.13/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB111, bitIndex0)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex0)),
% 25.13/16.88 inference(modus_ponens,[status(thm)],[18250, 18249])).
% 25.13/16.88 tff(18252,plain,
% 25.13/16.88 ((~v90(constB111, bitIndex0)) | v100(constB112) | v90(constB112, bitIndex0)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18251, 1993, 18232])).
% 25.13/16.88 tff(18253,plain,
% 25.13/16.88 (~v90(constB111, bitIndex0)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18252, 18245, 18244])).
% 25.13/16.88 tff(18254,plain,
% 25.13/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18255,plain,
% 25.13/16.88 (((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112)) <=> ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18256,plain,
% 25.13/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111))))),
% 25.13/16.88 inference(monotonicity,[status(thm)],[18255])).
% 25.13/16.88 tff(18257,plain,
% 25.13/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 25.13/16.88 inference(transitivity,[status(thm)],[18256, 18254])).
% 25.13/16.88 tff(18258,plain,
% 25.13/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))),
% 25.13/16.88 inference(quant_inst,[status(thm)],[])).
% 25.13/16.88 tff(18259,plain,
% 25.13/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111))),
% 25.13/16.88 inference(modus_ponens,[status(thm)],[18258, 18257])).
% 25.13/16.88 tff(18260,plain,
% 25.13/16.88 (v110(constB112) | (~v108(constB111))),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18259, 1082, 18232])).
% 25.13/16.88 tff(18261,plain,
% 25.13/16.88 (~v108(constB111)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18260, 18239])).
% 25.13/16.88 tff(18262,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB111) | (~v112(constB111)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v112(constB111)))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18263,plain,
% 25.13/16.88 (((~v112(constB111)) | v108(constB111)) <=> (v108(constB111) | (~v112(constB111)))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18264,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB111)) | v108(constB111))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB111) | (~v112(constB111))))),
% 25.13/16.88 inference(monotonicity,[status(thm)],[18263])).
% 25.13/16.88 tff(18265,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB111)) | v108(constB111))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v112(constB111)))),
% 25.13/16.88 inference(transitivity,[status(thm)],[18264, 18262])).
% 25.13/16.88 tff(18266,plain,
% 25.13/16.88 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB111)) | v108(constB111))),
% 25.13/16.88 inference(quant_inst,[status(thm)],[])).
% 25.13/16.88 tff(18267,plain,
% 25.13/16.88 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v112(constB111))),
% 25.13/16.88 inference(modus_ponens,[status(thm)],[18266, 18265])).
% 25.13/16.88 tff(18268,plain,
% 25.13/16.88 (~v112(constB111)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18267, 1062, 18261])).
% 25.13/16.88 tff(18269,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | v112(constB111) | (~v113(constB111)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | v112(constB111) | (~v113(constB111)))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18270,plain,
% 25.13/16.88 ((v26(constB111) | (~v113(constB111)) | v112(constB111)) <=> (v26(constB111) | v112(constB111) | (~v113(constB111)))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18271,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | v112(constB111) | (~v113(constB111))))),
% 25.13/16.88 inference(monotonicity,[status(thm)],[18270])).
% 25.13/16.88 tff(18272,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | v112(constB111) | (~v113(constB111)))),
% 25.13/16.88 inference(transitivity,[status(thm)],[18271, 18269])).
% 25.13/16.88 tff(18273,plain,
% 25.13/16.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))),
% 25.13/16.88 inference(quant_inst,[status(thm)],[])).
% 25.13/16.88 tff(18274,plain,
% 25.13/16.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | v112(constB111) | (~v113(constB111))),
% 25.13/16.88 inference(modus_ponens,[status(thm)],[18273, 18272])).
% 25.13/16.88 tff(18275,plain,
% 25.13/16.88 (v112(constB111) | (~v113(constB111))),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18274, 1050, 18224])).
% 25.13/16.88 tff(18276,plain,
% 25.13/16.88 (~v113(constB111)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18275, 18268])).
% 25.13/16.88 tff(18277,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB111) | (~v114(constB111)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB111) | (~v114(constB111)))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18278,plain,
% 25.13/16.88 (((~v114(constB111)) | v113(constB111)) <=> (v113(constB111) | (~v114(constB111)))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18279,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB111)) | v113(constB111))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB111) | (~v114(constB111))))),
% 25.13/16.88 inference(monotonicity,[status(thm)],[18278])).
% 25.13/16.88 tff(18280,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB111)) | v113(constB111))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB111) | (~v114(constB111)))),
% 25.13/16.88 inference(transitivity,[status(thm)],[18279, 18277])).
% 25.13/16.88 tff(18281,plain,
% 25.13/16.88 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB111)) | v113(constB111))),
% 25.13/16.88 inference(quant_inst,[status(thm)],[])).
% 25.13/16.88 tff(18282,plain,
% 25.13/16.88 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB111) | (~v114(constB111))),
% 25.13/16.88 inference(modus_ponens,[status(thm)],[18281, 18280])).
% 25.13/16.88 tff(18283,plain,
% 25.13/16.88 (~v114(constB111)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18282, 1036, 18276])).
% 25.13/16.88 tff(18284,assumption,(~v90(constB112, bitIndex1)), introduced(assumption)).
% 25.13/16.88 tff(18285,assumption,(~v90(constB112, bitIndex2)), introduced(assumption)).
% 25.13/16.88 tff(18286,plain,
% 25.13/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB111, bitIndex2)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB111, bitIndex2)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex2))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18287,plain,
% 25.13/16.88 (((~nextState(constB111, constB112)) | (~v90(constB111, bitIndex2)) | v100(constB112) | v90(constB112, bitIndex2)) <=> ((~v90(constB111, bitIndex2)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex2))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18288,plain,
% 25.13/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB111, constB112)) | (~v90(constB111, bitIndex2)) | v100(constB112) | v90(constB112, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB111, bitIndex2)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex2)))),
% 25.13/16.88 inference(monotonicity,[status(thm)],[18287])).
% 25.13/16.88 tff(18289,plain,
% 25.13/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB111, constB112)) | (~v90(constB111, bitIndex2)) | v100(constB112) | v90(constB112, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB111, bitIndex2)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex2))),
% 25.13/16.88 inference(transitivity,[status(thm)],[18288, 18286])).
% 25.13/16.88 tff(18290,plain,
% 25.13/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB111, constB112)) | (~v90(constB111, bitIndex2)) | v100(constB112) | v90(constB112, bitIndex2))),
% 25.13/16.88 inference(quant_inst,[status(thm)],[])).
% 25.13/16.88 tff(18291,plain,
% 25.13/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB111, bitIndex2)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex2)),
% 25.13/16.88 inference(modus_ponens,[status(thm)],[18290, 18289])).
% 25.13/16.88 tff(18292,plain,
% 25.13/16.88 ((~v90(constB111, bitIndex2)) | v100(constB112) | v90(constB112, bitIndex2)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18291, 1240, 18232])).
% 25.13/16.88 tff(18293,plain,
% 25.13/16.88 (~v90(constB111, bitIndex2)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18292, 18244, 18285])).
% 25.13/16.88 tff(18294,plain,
% 25.13/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB111, bitIndex1)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB111, bitIndex1)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex1))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18295,plain,
% 25.13/16.88 (((~nextState(constB111, constB112)) | (~v90(constB111, bitIndex1)) | v100(constB112) | v90(constB112, bitIndex1)) <=> ((~v90(constB111, bitIndex1)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex1))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18296,plain,
% 25.13/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB111, constB112)) | (~v90(constB111, bitIndex1)) | v100(constB112) | v90(constB112, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB111, bitIndex1)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex1)))),
% 25.13/16.88 inference(monotonicity,[status(thm)],[18295])).
% 25.13/16.88 tff(18297,plain,
% 25.13/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB111, constB112)) | (~v90(constB111, bitIndex1)) | v100(constB112) | v90(constB112, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB111, bitIndex1)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex1))),
% 25.13/16.88 inference(transitivity,[status(thm)],[18296, 18294])).
% 25.13/16.88 tff(18298,plain,
% 25.13/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB111, constB112)) | (~v90(constB111, bitIndex1)) | v100(constB112) | v90(constB112, bitIndex1))),
% 25.13/16.88 inference(quant_inst,[status(thm)],[])).
% 25.13/16.88 tff(18299,plain,
% 25.13/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB111, bitIndex1)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex1)),
% 25.13/16.88 inference(modus_ponens,[status(thm)],[18298, 18297])).
% 25.13/16.88 tff(18300,plain,
% 25.13/16.88 ((~v90(constB111, bitIndex1)) | v100(constB112) | v90(constB112, bitIndex1)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18299, 1601, 18232])).
% 25.13/16.88 tff(18301,plain,
% 25.13/16.88 (~v90(constB111, bitIndex1)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18300, 18244, 18284])).
% 25.13/16.88 tff(18302,plain,
% 25.13/16.88 (~v90(constB111, bitIndex0)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18252, 18244, 18245])).
% 25.13/16.88 tff(18303,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v119(constB111))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v119(constB111))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18304,plain,
% 25.13/16.88 ((v90(constB111, bitIndex0) | v119(constB111) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2)) <=> (v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v119(constB111))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18305,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB111, bitIndex0) | v119(constB111) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v119(constB111)))),
% 25.13/16.88 inference(monotonicity,[status(thm)],[18304])).
% 25.13/16.88 tff(18306,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB111, bitIndex0) | v119(constB111) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v119(constB111))),
% 25.13/16.88 inference(transitivity,[status(thm)],[18305, 18303])).
% 25.13/16.88 tff(18307,plain,
% 25.13/16.88 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB111, bitIndex0) | v119(constB111) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2))),
% 25.13/16.88 inference(quant_inst,[status(thm)],[])).
% 25.13/16.88 tff(18308,plain,
% 25.13/16.88 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v119(constB111)),
% 25.13/16.88 inference(modus_ponens,[status(thm)],[18307, 18306])).
% 25.13/16.88 tff(18309,plain,
% 25.13/16.88 (v119(constB111)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18308, 955, 18302, 18301, 18293])).
% 25.13/16.88 tff(18310,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB111) | (~v119(constB111)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB111) | (~v119(constB111)))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18311,plain,
% 25.13/16.88 (((~v119(constB111)) | v118(constB111)) <=> (v118(constB111) | (~v119(constB111)))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18312,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB111)) | v118(constB111))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB111) | (~v119(constB111))))),
% 25.13/16.88 inference(monotonicity,[status(thm)],[18311])).
% 25.13/16.88 tff(18313,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB111)) | v118(constB111))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB111) | (~v119(constB111)))),
% 25.13/16.88 inference(transitivity,[status(thm)],[18312, 18310])).
% 25.13/16.88 tff(18314,plain,
% 25.13/16.88 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB111)) | v118(constB111))),
% 25.13/16.88 inference(quant_inst,[status(thm)],[])).
% 25.13/16.88 tff(18315,plain,
% 25.13/16.88 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB111) | (~v119(constB111))),
% 25.13/16.88 inference(modus_ponens,[status(thm)],[18314, 18313])).
% 25.13/16.88 tff(18316,plain,
% 25.13/16.88 (v118(constB111)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18315, 969, 18309])).
% 25.13/16.88 tff(18317,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB111) | (~v118(constB111)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB111) | (~v118(constB111)))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18318,plain,
% 25.13/16.88 (((~v118(constB111)) | v117(constB111)) <=> (v117(constB111) | (~v118(constB111)))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18319,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB111)) | v117(constB111))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB111) | (~v118(constB111))))),
% 25.13/16.88 inference(monotonicity,[status(thm)],[18318])).
% 25.13/16.88 tff(18320,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB111)) | v117(constB111))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB111) | (~v118(constB111)))),
% 25.13/16.88 inference(transitivity,[status(thm)],[18319, 18317])).
% 25.13/16.88 tff(18321,plain,
% 25.13/16.88 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB111)) | v117(constB111))),
% 25.13/16.88 inference(quant_inst,[status(thm)],[])).
% 25.13/16.88 tff(18322,plain,
% 25.13/16.88 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB111) | (~v118(constB111))),
% 25.13/16.88 inference(modus_ponens,[status(thm)],[18321, 18320])).
% 25.13/16.88 tff(18323,plain,
% 25.13/16.88 (v117(constB111)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18322, 980, 18316])).
% 25.13/16.88 tff(18324,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB111) | (~v117(constB111)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB111) | (~v117(constB111)))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18325,plain,
% 25.13/16.88 (((~v117(constB111)) | v116(constB111)) <=> (v116(constB111) | (~v117(constB111)))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18326,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB111)) | v116(constB111))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB111) | (~v117(constB111))))),
% 25.13/16.88 inference(monotonicity,[status(thm)],[18325])).
% 25.13/16.88 tff(18327,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB111)) | v116(constB111))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB111) | (~v117(constB111)))),
% 25.13/16.88 inference(transitivity,[status(thm)],[18326, 18324])).
% 25.13/16.88 tff(18328,plain,
% 25.13/16.88 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB111)) | v116(constB111))),
% 25.13/16.88 inference(quant_inst,[status(thm)],[])).
% 25.13/16.88 tff(18329,plain,
% 25.13/16.88 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB111) | (~v117(constB111))),
% 25.13/16.88 inference(modus_ponens,[status(thm)],[18328, 18327])).
% 25.13/16.88 tff(18330,plain,
% 25.13/16.88 (v116(constB111)),
% 25.13/16.88 inference(unit_resolution,[status(thm)],[18329, 994, 18323])).
% 25.13/16.88 tff(18331,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB111) | (~v115(constB111)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB111) | (~v115(constB111)))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18332,plain,
% 25.13/16.88 (((~v115(constB111)) | v114(constB111)) <=> (v114(constB111) | (~v115(constB111)))),
% 25.13/16.88 inference(rewrite,[status(thm)],[])).
% 25.13/16.88 tff(18333,plain,
% 25.13/16.88 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB111)) | v114(constB111))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB111) | (~v115(constB111))))),
% 25.13/16.88 inference(monotonicity,[status(thm)],[18332])).
% 25.13/16.89 tff(18334,plain,
% 25.13/16.89 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB111)) | v114(constB111))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB111) | (~v115(constB111)))),
% 25.13/16.89 inference(transitivity,[status(thm)],[18333, 18331])).
% 25.13/16.89 tff(18335,plain,
% 25.13/16.89 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB111)) | v114(constB111))),
% 25.13/16.89 inference(quant_inst,[status(thm)],[])).
% 25.13/16.89 tff(18336,plain,
% 25.13/16.89 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB111) | (~v115(constB111))),
% 25.13/16.89 inference(modus_ponens,[status(thm)],[18335, 18334])).
% 25.13/16.89 tff(18337,plain,
% 25.13/16.89 (~v115(constB111)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18336, 1022, 18283])).
% 25.13/16.89 tff(18338,plain,
% 25.13/16.89 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB111) | (~v116(constB111)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB111) | (~v116(constB111)))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18339,plain,
% 25.13/16.89 (((~v116(constB111)) | v115(constB111)) <=> (v115(constB111) | (~v116(constB111)))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18340,plain,
% 25.13/16.89 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB111)) | v115(constB111))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB111) | (~v116(constB111))))),
% 25.13/16.89 inference(monotonicity,[status(thm)],[18339])).
% 25.13/16.89 tff(18341,plain,
% 25.13/16.89 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB111)) | v115(constB111))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB111) | (~v116(constB111)))),
% 25.13/16.89 inference(transitivity,[status(thm)],[18340, 18338])).
% 25.13/16.89 tff(18342,plain,
% 25.13/16.89 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB111)) | v115(constB111))),
% 25.13/16.89 inference(quant_inst,[status(thm)],[])).
% 25.13/16.89 tff(18343,plain,
% 25.13/16.89 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB111) | (~v116(constB111))),
% 25.13/16.89 inference(modus_ponens,[status(thm)],[18342, 18341])).
% 25.13/16.89 tff(18344,plain,
% 25.13/16.89 ($false),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18343, 1008, 18337, 18330])).
% 25.13/16.89 tff(18345,plain,(v110(constB112) | v90(constB112, bitIndex2) | v90(constB112, bitIndex1) | v90(constB112, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.13/16.89 tff(18346,plain,
% 25.13/16.89 (v110(constB112)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18345, 18285, 18284, 18245])).
% 25.13/16.89 tff(18347,plain,
% 25.13/16.89 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18348,plain,
% 25.13/16.89 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))),
% 25.13/16.89 inference(quant_inst,[status(thm)],[])).
% 25.13/16.89 tff(18349,plain,
% 25.13/16.89 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112))),
% 25.13/16.89 inference(modus_ponens,[status(thm)],[18348, 18347])).
% 25.13/16.89 tff(18350,plain,
% 25.13/16.89 (~v104(constB112)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18349, 1100, 18232, 18126])).
% 25.13/16.89 tff(18351,plain,
% 25.13/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18352,plain,
% 25.13/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))),
% 25.13/16.89 inference(quant_inst,[status(thm)],[])).
% 25.13/16.89 tff(18353,plain,
% 25.13/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v102(constB112) | v104(constB112)),
% 25.13/16.89 inference(modus_ponens,[status(thm)],[18352, 18351])).
% 25.13/16.89 tff(18354,plain,
% 25.13/16.89 (v102(constB112) | v104(constB112)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18353, 1114, 18232])).
% 25.13/16.89 tff(18355,plain,
% 25.13/16.89 (v102(constB112)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18354, 18350])).
% 25.13/16.89 tff(18356,plain,
% 25.13/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18357,plain,
% 25.13/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))),
% 25.13/16.89 inference(quant_inst,[status(thm)],[])).
% 25.13/16.89 tff(18358,plain,
% 25.13/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112))),
% 25.13/16.89 inference(modus_ponens,[status(thm)],[18357, 18356])).
% 25.13/16.89 tff(18359,plain,
% 25.13/16.89 (v101(constB112) | (~v102(constB112))),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18358, 1129, 18232, 757])).
% 25.13/16.89 tff(18360,plain,
% 25.13/16.89 (v101(constB112)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18359, 18355])).
% 25.13/16.89 tff(18361,plain,
% 25.13/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18362,plain,
% 25.13/16.89 (((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112)) <=> ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18363,plain,
% 25.13/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112))))),
% 25.13/16.89 inference(monotonicity,[status(thm)],[18362])).
% 25.13/16.89 tff(18364,plain,
% 25.13/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 25.13/16.89 inference(transitivity,[status(thm)],[18363, 18361])).
% 25.13/16.89 tff(18365,plain,
% 25.13/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))),
% 25.13/16.89 inference(quant_inst,[status(thm)],[])).
% 25.13/16.89 tff(18366,plain,
% 25.13/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 25.13/16.89 inference(modus_ponens,[status(thm)],[18365, 18364])).
% 25.13/16.89 tff(18367,plain,
% 25.13/16.89 (v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18366, 1144, 18232])).
% 25.13/16.89 tff(18368,plain,
% 25.13/16.89 (v100(constB112) | (~v110(constB112))),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18367, 18360])).
% 25.13/16.89 tff(18369,plain,
% 25.13/16.89 (v100(constB112)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18368, 18346])).
% 25.13/16.89 tff(18370,plain,
% 25.13/16.89 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB112, bitIndex0) | (~v129(constB112, bitIndex0)) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB112, bitIndex0) | (~v129(constB112, bitIndex0)) | (~v100(constB112)))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18371,plain,
% 25.13/16.89 ((v90(constB112, bitIndex0) | (~v100(constB112)) | (~v129(constB112, bitIndex0))) <=> (v90(constB112, bitIndex0) | (~v129(constB112, bitIndex0)) | (~v100(constB112)))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18372,plain,
% 25.13/16.89 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB112, bitIndex0) | (~v100(constB112)) | (~v129(constB112, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB112, bitIndex0) | (~v129(constB112, bitIndex0)) | (~v100(constB112))))),
% 25.13/16.89 inference(monotonicity,[status(thm)],[18371])).
% 25.13/16.89 tff(18373,plain,
% 25.13/16.89 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB112, bitIndex0) | (~v100(constB112)) | (~v129(constB112, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB112, bitIndex0) | (~v129(constB112, bitIndex0)) | (~v100(constB112)))),
% 25.13/16.89 inference(transitivity,[status(thm)],[18372, 18370])).
% 25.13/16.89 tff(18374,plain,
% 25.13/16.89 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB112, bitIndex0) | (~v100(constB112)) | (~v129(constB112, bitIndex0)))),
% 25.13/16.89 inference(quant_inst,[status(thm)],[])).
% 25.13/16.89 tff(18375,plain,
% 25.13/16.89 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB112, bitIndex0) | (~v129(constB112, bitIndex0)) | (~v100(constB112))),
% 25.13/16.89 inference(modus_ponens,[status(thm)],[18374, 18373])).
% 25.13/16.89 tff(18376,plain,
% 25.13/16.89 ((~v129(constB112, bitIndex0)) | (~v100(constB112))),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18375, 1975, 18245])).
% 25.13/16.89 tff(18377,plain,
% 25.13/16.89 (~v129(constB112, bitIndex0)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18376, 18369])).
% 25.13/16.89 tff(18378,plain,
% 25.13/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB111, constB112)) | (~v127(constB111, bitIndex0)) | v129(constB112, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB111, constB112)) | (~v127(constB111, bitIndex0)) | v129(constB112, bitIndex0))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18379,plain,
% 25.13/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB111, constB112)) | (~v127(constB111, bitIndex0)) | v129(constB112, bitIndex0))),
% 25.13/16.89 inference(quant_inst,[status(thm)],[])).
% 25.13/16.89 tff(18380,plain,
% 25.13/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB111, constB112)) | (~v127(constB111, bitIndex0)) | v129(constB112, bitIndex0)),
% 25.13/16.89 inference(modus_ponens,[status(thm)],[18379, 18378])).
% 25.13/16.89 tff(18381,plain,
% 25.13/16.89 ((~v127(constB111, bitIndex0)) | v129(constB112, bitIndex0)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18380, 1960, 18232])).
% 25.13/16.89 tff(18382,plain,
% 25.13/16.89 (~v127(constB111, bitIndex0)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18381, 18377])).
% 25.13/16.89 tff(18383,plain,
% 25.13/16.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB111) | (~v130(constB111, bitIndex0)) | v127(constB111, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB111) | (~v130(constB111, bitIndex0)) | v127(constB111, bitIndex0))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18384,plain,
% 25.13/16.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB111) | (~v130(constB111, bitIndex0)) | v127(constB111, bitIndex0))),
% 25.13/16.89 inference(quant_inst,[status(thm)],[])).
% 25.13/16.89 tff(18385,plain,
% 25.13/16.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB111) | (~v130(constB111, bitIndex0)) | v127(constB111, bitIndex0)),
% 25.13/16.89 inference(modus_ponens,[status(thm)],[18384, 18383])).
% 25.13/16.89 tff(18386,plain,
% 25.13/16.89 ((~v130(constB111, bitIndex0)) | v127(constB111, bitIndex0)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18385, 1945, 18224])).
% 25.13/16.89 tff(18387,plain,
% 25.13/16.89 (~v130(constB111, bitIndex0)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18386, 18382])).
% 25.13/16.89 tff(18388,plain,
% 25.13/16.89 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB111)) | v130(constB111, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB111)) | v130(constB111, bitIndex0))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18389,plain,
% 25.13/16.89 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB111)) | v130(constB111, bitIndex0))),
% 25.13/16.89 inference(quant_inst,[status(thm)],[])).
% 25.13/16.89 tff(18390,plain,
% 25.13/16.89 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB111)) | v130(constB111, bitIndex0)),
% 25.13/16.89 inference(modus_ponens,[status(thm)],[18389, 18388])).
% 25.13/16.89 tff(18391,plain,
% 25.13/16.89 (~v124(constB111)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18390, 7189, 18387])).
% 25.13/16.89 tff(18392,plain,
% 25.13/16.89 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112)))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18393,plain,
% 25.13/16.89 ((v90(constB112, bitIndex1) | (~v100(constB112)) | (~v129(constB112, bitIndex1))) <=> (v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112)))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18394,plain,
% 25.13/16.89 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v100(constB112)) | (~v129(constB112, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112))))),
% 25.13/16.89 inference(monotonicity,[status(thm)],[18393])).
% 25.13/16.89 tff(18395,plain,
% 25.13/16.89 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v100(constB112)) | (~v129(constB112, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112)))),
% 25.13/16.89 inference(transitivity,[status(thm)],[18394, 18392])).
% 25.13/16.89 tff(18396,plain,
% 25.13/16.89 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v100(constB112)) | (~v129(constB112, bitIndex1)))),
% 25.13/16.89 inference(quant_inst,[status(thm)],[])).
% 25.13/16.89 tff(18397,plain,
% 25.13/16.89 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112))),
% 25.13/16.89 inference(modus_ponens,[status(thm)],[18396, 18395])).
% 25.13/16.89 tff(18398,plain,
% 25.13/16.89 ((~v129(constB112, bitIndex1)) | (~v100(constB112))),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18397, 1583, 18284])).
% 25.13/16.89 tff(18399,plain,
% 25.13/16.89 (~v129(constB112, bitIndex1)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18398, 18369])).
% 25.13/16.89 tff(18400,plain,
% 25.13/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB111, constB112)) | (~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB111, constB112)) | (~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18401,plain,
% 25.13/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB111, constB112)) | (~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1))),
% 25.13/16.89 inference(quant_inst,[status(thm)],[])).
% 25.13/16.89 tff(18402,plain,
% 25.13/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB111, constB112)) | (~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1)),
% 25.13/16.89 inference(modus_ponens,[status(thm)],[18401, 18400])).
% 25.13/16.89 tff(18403,plain,
% 25.13/16.89 ((~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18402, 1568, 18232])).
% 25.13/16.89 tff(18404,plain,
% 25.13/16.89 (~v127(constB111, bitIndex1)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18403, 18399])).
% 25.13/16.89 tff(18405,plain,
% 25.13/16.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB111) | (~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB111) | (~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18406,plain,
% 25.13/16.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB111) | (~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1))),
% 25.13/16.89 inference(quant_inst,[status(thm)],[])).
% 25.13/16.89 tff(18407,plain,
% 25.13/16.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB111) | (~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1)),
% 25.13/16.89 inference(modus_ponens,[status(thm)],[18406, 18405])).
% 25.13/16.89 tff(18408,plain,
% 25.13/16.89 ((~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18407, 1553, 18224])).
% 25.13/16.89 tff(18409,plain,
% 25.13/16.89 (~v130(constB111, bitIndex1)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18408, 18404])).
% 25.13/16.89 tff(18410,plain,
% 25.13/16.89 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB111)) | v130(constB111, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB111)) | v130(constB111, bitIndex1))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18411,plain,
% 25.13/16.89 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB111)) | v130(constB111, bitIndex1))),
% 25.13/16.89 inference(quant_inst,[status(thm)],[])).
% 25.13/16.89 tff(18412,plain,
% 25.13/16.89 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB111)) | v130(constB111, bitIndex1)),
% 25.13/16.89 inference(modus_ponens,[status(thm)],[18411, 18410])).
% 25.13/16.89 tff(18413,plain,
% 25.13/16.89 (~v123(constB111)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18412, 1539, 18409])).
% 25.13/16.89 tff(18414,plain,
% 25.13/16.89 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~v129(constB112, bitIndex2)) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB112, bitIndex2) | (~v129(constB112, bitIndex2)) | (~v100(constB112)))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18415,plain,
% 25.13/16.89 ((v90(constB112, bitIndex2) | (~v100(constB112)) | (~v129(constB112, bitIndex2))) <=> (v90(constB112, bitIndex2) | (~v129(constB112, bitIndex2)) | (~v100(constB112)))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18416,plain,
% 25.13/16.89 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~v100(constB112)) | (~v129(constB112, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~v129(constB112, bitIndex2)) | (~v100(constB112))))),
% 25.13/16.89 inference(monotonicity,[status(thm)],[18415])).
% 25.13/16.89 tff(18417,plain,
% 25.13/16.89 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~v100(constB112)) | (~v129(constB112, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB112, bitIndex2) | (~v129(constB112, bitIndex2)) | (~v100(constB112)))),
% 25.13/16.89 inference(transitivity,[status(thm)],[18416, 18414])).
% 25.13/16.89 tff(18418,plain,
% 25.13/16.89 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~v100(constB112)) | (~v129(constB112, bitIndex2)))),
% 25.13/16.89 inference(quant_inst,[status(thm)],[])).
% 25.13/16.89 tff(18419,plain,
% 25.13/16.89 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB112, bitIndex2) | (~v129(constB112, bitIndex2)) | (~v100(constB112))),
% 25.13/16.89 inference(modus_ponens,[status(thm)],[18418, 18417])).
% 25.13/16.89 tff(18420,plain,
% 25.13/16.89 ((~v129(constB112, bitIndex2)) | (~v100(constB112))),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18419, 1204, 18285])).
% 25.13/16.89 tff(18421,plain,
% 25.13/16.89 (~v129(constB112, bitIndex2)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18420, 18369])).
% 25.13/16.89 tff(18422,plain,
% 25.13/16.89 (~v127(constB111, bitIndex2)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18236, 18421])).
% 25.13/16.89 tff(18423,plain,
% 25.13/16.89 (~v130(constB111, bitIndex2)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18228, 18422])).
% 25.13/16.89 tff(18424,plain,
% 25.13/16.89 (~v122(constB111)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18219, 2736, 18423])).
% 25.13/16.89 tff(18425,plain,
% 25.13/16.89 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB111)) | v130(constB111, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB111)) | v130(constB111, bitIndex0))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18426,plain,
% 25.13/16.89 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB111)) | v130(constB111, bitIndex0))),
% 25.13/16.89 inference(quant_inst,[status(thm)],[])).
% 25.13/16.89 tff(18427,plain,
% 25.13/16.89 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB111)) | v130(constB111, bitIndex0)),
% 25.13/16.89 inference(modus_ponens,[status(thm)],[18426, 18425])).
% 25.13/16.89 tff(18428,plain,
% 25.13/16.89 (~v121(constB111)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18427, 2600, 18387])).
% 25.13/16.89 tff(18429,plain,
% 25.13/16.89 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB111)) | v130(constB111, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB111)) | v130(constB111, bitIndex1))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18430,plain,
% 25.13/16.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB111)) | v130(constB111, bitIndex1))),
% 25.13/16.89 inference(quant_inst,[status(thm)],[])).
% 25.13/16.89 tff(18431,plain,
% 25.13/16.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB111)) | v130(constB111, bitIndex1)),
% 25.13/16.89 inference(modus_ponens,[status(thm)],[18430, 18429])).
% 25.13/16.89 tff(18432,plain,
% 25.13/16.89 (~v120(constB111)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18431, 2034, 18409])).
% 25.13/16.89 tff(18433,plain,
% 25.13/16.89 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB111)) | v130(constB111, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB111)) | v130(constB111, bitIndex2))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18434,plain,
% 25.13/16.89 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB111)) | v130(constB111, bitIndex2))),
% 25.13/16.89 inference(quant_inst,[status(thm)],[])).
% 25.13/16.89 tff(18435,plain,
% 25.13/16.89 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB111)) | v130(constB111, bitIndex2)),
% 25.13/16.89 inference(modus_ponens,[status(thm)],[18434, 18433])).
% 25.13/16.89 tff(18436,plain,
% 25.13/16.89 (~v119(constB111)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18435, 1160, 18423])).
% 25.13/16.89 tff(18437,plain,
% 25.13/16.89 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB111) | v120(constB111) | v121(constB111) | v122(constB111) | v123(constB111) | v124(constB111) | v130(constB111, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB111) | v120(constB111) | v121(constB111) | v122(constB111) | v123(constB111) | v124(constB111) | v130(constB111, bitIndex0))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18438,plain,
% 25.13/16.89 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB111) | v120(constB111) | v121(constB111) | v122(constB111) | v123(constB111) | v124(constB111) | v130(constB111, bitIndex0))),
% 25.13/16.89 inference(quant_inst,[status(thm)],[])).
% 25.13/16.89 tff(18439,plain,
% 25.13/16.89 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB111) | v120(constB111) | v121(constB111) | v122(constB111) | v123(constB111) | v124(constB111) | v130(constB111, bitIndex0)),
% 25.13/16.89 inference(modus_ponens,[status(thm)],[18438, 18437])).
% 25.13/16.89 tff(18440,plain,
% 25.13/16.89 (v119(constB111) | v120(constB111) | v121(constB111) | v122(constB111) | v123(constB111) | v124(constB111)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18439, 1931, 18387])).
% 25.13/16.89 tff(18441,plain,
% 25.13/16.89 ($false),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18440, 18436, 18432, 18428, 18424, 18413, 18391])).
% 25.13/16.89 tff(18442,plain,(v90(constB112, bitIndex2) | v90(constB112, bitIndex1) | v90(constB112, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.13/16.89 tff(18443,plain,
% 25.13/16.89 (v90(constB112, bitIndex2)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18442, 18284, 18245])).
% 25.13/16.89 tff(18444,plain,
% 25.13/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB111, bitIndex2) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB111, bitIndex2) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex2)))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18445,plain,
% 25.13/16.89 (((~nextState(constB111, constB112)) | v90(constB111, bitIndex2) | v100(constB112) | (~v90(constB112, bitIndex2))) <=> (v90(constB111, bitIndex2) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex2)))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18446,plain,
% 25.13/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB111, constB112)) | v90(constB111, bitIndex2) | v100(constB112) | (~v90(constB112, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB111, bitIndex2) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex2))))),
% 25.13/16.89 inference(monotonicity,[status(thm)],[18445])).
% 25.13/16.89 tff(18447,plain,
% 25.13/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB111, constB112)) | v90(constB111, bitIndex2) | v100(constB112) | (~v90(constB112, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB111, bitIndex2) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex2)))),
% 25.13/16.89 inference(transitivity,[status(thm)],[18446, 18444])).
% 25.13/16.89 tff(18448,plain,
% 25.13/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB111, constB112)) | v90(constB111, bitIndex2) | v100(constB112) | (~v90(constB112, bitIndex2)))),
% 25.13/16.89 inference(quant_inst,[status(thm)],[])).
% 25.13/16.89 tff(18449,plain,
% 25.13/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB111, bitIndex2) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex2))),
% 25.13/16.89 inference(modus_ponens,[status(thm)],[18448, 18447])).
% 25.13/16.89 tff(18450,plain,
% 25.13/16.89 (v90(constB111, bitIndex2) | v100(constB112) | (~v90(constB112, bitIndex2))),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18449, 892, 18232])).
% 25.13/16.89 tff(18451,plain,
% 25.13/16.89 (v90(constB111, bitIndex2)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18450, 18244, 18443])).
% 25.13/16.89 tff(18452,plain,
% 25.13/16.89 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex2)) | v123(constB111))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex2)) | v123(constB111))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18453,plain,
% 25.13/16.89 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex2)) | v123(constB111))),
% 25.13/16.89 inference(quant_inst,[status(thm)],[])).
% 25.13/16.89 tff(18454,plain,
% 25.13/16.89 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex2)) | v123(constB111)),
% 25.13/16.89 inference(modus_ponens,[status(thm)],[18453, 18452])).
% 25.13/16.89 tff(18455,plain,
% 25.13/16.89 (v123(constB111)),
% 25.13/16.89 inference(unit_resolution,[status(thm)],[18454, 1401, 18302, 18301, 18451])).
% 25.13/16.89 tff(18456,plain,
% 25.13/16.89 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB111) | (~v123(constB111)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB111) | (~v123(constB111)))),
% 25.13/16.89 inference(rewrite,[status(thm)],[])).
% 25.13/16.89 tff(18457,plain,
% 25.13/16.89 (((~v123(constB111)) | v115(constB111)) <=> (v115(constB111) | (~v123(constB111)))),
% 25.13/16.90 inference(rewrite,[status(thm)],[])).
% 25.13/16.90 tff(18458,plain,
% 25.13/16.90 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB111)) | v115(constB111))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB111) | (~v123(constB111))))),
% 25.13/16.90 inference(monotonicity,[status(thm)],[18457])).
% 25.13/16.90 tff(18459,plain,
% 25.13/16.90 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB111)) | v115(constB111))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB111) | (~v123(constB111)))),
% 25.13/16.90 inference(transitivity,[status(thm)],[18458, 18456])).
% 25.13/16.90 tff(18460,plain,
% 25.13/16.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB111)) | v115(constB111))),
% 25.13/16.90 inference(quant_inst,[status(thm)],[])).
% 25.13/16.90 tff(18461,plain,
% 25.13/16.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB111) | (~v123(constB111))),
% 25.13/16.90 inference(modus_ponens,[status(thm)],[18460, 18459])).
% 25.13/16.90 tff(18462,plain,
% 25.13/16.90 (v115(constB111)),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18461, 1412, 18455])).
% 25.13/16.90 tff(18463,plain,
% 25.13/16.90 ($false),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18336, 1022, 18462, 18283])).
% 25.13/16.90 tff(18464,plain,(v110(constB112) | v90(constB112, bitIndex1) | v90(constB112, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.13/16.90 tff(18465,plain,
% 25.13/16.90 (v90(constB112, bitIndex1)),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18464, 18245, 18239])).
% 25.13/16.90 tff(18466,plain,
% 25.13/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB111, bitIndex1) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB111, bitIndex1) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex1)))),
% 25.13/16.90 inference(rewrite,[status(thm)],[])).
% 25.13/16.90 tff(18467,plain,
% 25.13/16.90 (((~nextState(constB111, constB112)) | v90(constB111, bitIndex1) | v100(constB112) | (~v90(constB112, bitIndex1))) <=> (v90(constB111, bitIndex1) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex1)))),
% 25.13/16.90 inference(rewrite,[status(thm)],[])).
% 25.13/16.90 tff(18468,plain,
% 25.13/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB111, constB112)) | v90(constB111, bitIndex1) | v100(constB112) | (~v90(constB112, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB111, bitIndex1) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex1))))),
% 25.13/16.90 inference(monotonicity,[status(thm)],[18467])).
% 25.13/16.90 tff(18469,plain,
% 25.13/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB111, constB112)) | v90(constB111, bitIndex1) | v100(constB112) | (~v90(constB112, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB111, bitIndex1) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex1)))),
% 25.13/16.90 inference(transitivity,[status(thm)],[18468, 18466])).
% 25.13/16.90 tff(18470,plain,
% 25.13/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB111, constB112)) | v90(constB111, bitIndex1) | v100(constB112) | (~v90(constB112, bitIndex1)))),
% 25.13/16.90 inference(quant_inst,[status(thm)],[])).
% 25.13/16.90 tff(18471,plain,
% 25.13/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB111, bitIndex1) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex1))),
% 25.13/16.90 inference(modus_ponens,[status(thm)],[18470, 18469])).
% 25.13/16.90 tff(18472,plain,
% 25.13/16.90 (v90(constB111, bitIndex1) | v100(constB112) | (~v90(constB112, bitIndex1))),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18471, 913, 18232])).
% 25.13/16.90 tff(18473,plain,
% 25.13/16.90 (v90(constB111, bitIndex1)),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18472, 18465, 18244])).
% 25.13/16.90 tff(18474,plain,
% 25.13/16.90 (~v116(constB111)),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18343, 1008, 18337])).
% 25.13/16.90 tff(18475,plain,
% 25.13/16.90 (~v117(constB111)),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18329, 994, 18474])).
% 25.13/16.90 tff(18476,plain,
% 25.13/16.90 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB111) | (~v121(constB111)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB111) | (~v121(constB111)))),
% 25.13/16.90 inference(rewrite,[status(thm)],[])).
% 25.13/16.90 tff(18477,plain,
% 25.13/16.90 (((~v121(constB111)) | v117(constB111)) <=> (v117(constB111) | (~v121(constB111)))),
% 25.13/16.90 inference(rewrite,[status(thm)],[])).
% 25.13/16.90 tff(18478,plain,
% 25.13/16.90 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB111)) | v117(constB111))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB111) | (~v121(constB111))))),
% 25.13/16.90 inference(monotonicity,[status(thm)],[18477])).
% 25.13/16.90 tff(18479,plain,
% 25.13/16.90 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB111)) | v117(constB111))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB111) | (~v121(constB111)))),
% 25.13/16.90 inference(transitivity,[status(thm)],[18478, 18476])).
% 25.13/16.90 tff(18480,plain,
% 25.13/16.90 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB111)) | v117(constB111))),
% 25.13/16.90 inference(quant_inst,[status(thm)],[])).
% 25.13/16.90 tff(18481,plain,
% 25.13/16.90 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB111) | (~v121(constB111))),
% 25.13/16.90 inference(modus_ponens,[status(thm)],[18480, 18479])).
% 25.13/16.90 tff(18482,plain,
% 25.13/16.90 (~v121(constB111)),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18481, 2102, 18475])).
% 25.13/16.90 tff(18483,plain,
% 25.13/16.90 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB111, bitIndex0) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v121(constB111))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB111, bitIndex0) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v121(constB111))),
% 25.13/16.90 inference(rewrite,[status(thm)],[])).
% 25.13/16.90 tff(18484,plain,
% 25.13/16.90 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB111, bitIndex0) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v121(constB111))),
% 25.13/16.90 inference(quant_inst,[status(thm)],[])).
% 25.13/16.90 tff(18485,plain,
% 25.13/16.90 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB111, bitIndex0) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v121(constB111)),
% 25.13/16.90 inference(modus_ponens,[status(thm)],[18484, 18483])).
% 25.13/16.90 tff(18486,plain,
% 25.13/16.90 (v90(constB111, bitIndex0) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2)),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18485, 2145, 18482])).
% 25.13/16.90 tff(18487,plain,
% 25.13/16.90 ($false),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18486, 18473, 18253, 18238])).
% 25.13/16.90 tff(18488,plain,(v90(constB112, bitIndex0) | v90(constB111, bitIndex2) | v110(constB112)), inference(lemma,lemma(discharge,[]))).
% 25.13/16.90 tff(18489,plain,
% 25.13/16.90 (v90(constB112, bitIndex0)),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18488, 18238, 18239])).
% 25.13/16.90 tff(18490,plain,
% 25.13/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB111, bitIndex0) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB111, bitIndex0) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex0)))),
% 25.13/16.90 inference(rewrite,[status(thm)],[])).
% 25.13/16.90 tff(18491,plain,
% 25.13/16.90 (((~nextState(constB111, constB112)) | v90(constB111, bitIndex0) | v100(constB112) | (~v90(constB112, bitIndex0))) <=> (v90(constB111, bitIndex0) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex0)))),
% 25.13/16.90 inference(rewrite,[status(thm)],[])).
% 25.13/16.90 tff(18492,plain,
% 25.13/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v90(constB111, bitIndex0) | v100(constB112) | (~v90(constB112, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB111, bitIndex0) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex0))))),
% 25.13/16.90 inference(monotonicity,[status(thm)],[18491])).
% 25.13/16.90 tff(18493,plain,
% 25.13/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v90(constB111, bitIndex0) | v100(constB112) | (~v90(constB112, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB111, bitIndex0) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex0)))),
% 25.13/16.90 inference(transitivity,[status(thm)],[18492, 18490])).
% 25.13/16.90 tff(18494,plain,
% 25.13/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v90(constB111, bitIndex0) | v100(constB112) | (~v90(constB112, bitIndex0)))),
% 25.13/16.90 inference(quant_inst,[status(thm)],[])).
% 25.13/16.90 tff(18495,plain,
% 25.13/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB111, bitIndex0) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex0))),
% 25.13/16.90 inference(modus_ponens,[status(thm)],[18494, 18493])).
% 25.13/16.90 tff(18496,plain,
% 25.13/16.90 (v90(constB111, bitIndex0) | v100(constB112) | (~v90(constB112, bitIndex0))),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18495, 934, 18232])).
% 25.13/16.90 tff(18497,plain,
% 25.13/16.90 (v90(constB111, bitIndex0)),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18496, 18489, 18244])).
% 25.13/16.90 tff(18498,plain,
% 25.13/16.90 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB111) | (~v122(constB111)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB111) | (~v122(constB111)))),
% 25.13/16.90 inference(rewrite,[status(thm)],[])).
% 25.13/16.90 tff(18499,plain,
% 25.13/16.90 (((~v122(constB111)) | v116(constB111)) <=> (v116(constB111) | (~v122(constB111)))),
% 25.13/16.90 inference(rewrite,[status(thm)],[])).
% 25.13/16.90 tff(18500,plain,
% 25.13/16.90 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB111)) | v116(constB111))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB111) | (~v122(constB111))))),
% 25.13/16.90 inference(monotonicity,[status(thm)],[18499])).
% 25.13/16.90 tff(18501,plain,
% 25.13/16.90 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB111)) | v116(constB111))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB111) | (~v122(constB111)))),
% 25.13/16.90 inference(transitivity,[status(thm)],[18500, 18498])).
% 25.13/16.90 tff(18502,plain,
% 25.13/16.90 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB111)) | v116(constB111))),
% 25.13/16.90 inference(quant_inst,[status(thm)],[])).
% 25.13/16.90 tff(18503,plain,
% 25.13/16.90 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB111) | (~v122(constB111))),
% 25.13/16.90 inference(modus_ponens,[status(thm)],[18502, 18501])).
% 25.13/16.90 tff(18504,plain,
% 25.13/16.90 (~v122(constB111)),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18503, 2652, 18474])).
% 25.13/16.90 tff(18505,plain,
% 25.13/16.90 ((~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2)),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18215, 2641, 18504])).
% 25.13/16.90 tff(18506,plain,
% 25.13/16.90 (~v90(constB111, bitIndex1)),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18505, 18497, 18238])).
% 25.13/16.90 tff(18507,plain,
% 25.13/16.90 (~v118(constB111)),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18322, 980, 18475])).
% 25.13/16.90 tff(18508,plain,
% 25.13/16.90 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB111) | (~v120(constB111)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB111) | (~v120(constB111)))),
% 25.13/16.90 inference(rewrite,[status(thm)],[])).
% 25.13/16.90 tff(18509,plain,
% 25.13/16.90 (((~v120(constB111)) | v118(constB111)) <=> (v118(constB111) | (~v120(constB111)))),
% 25.13/16.90 inference(rewrite,[status(thm)],[])).
% 25.13/16.90 tff(18510,plain,
% 25.13/16.90 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB111)) | v118(constB111))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB111) | (~v120(constB111))))),
% 25.13/16.90 inference(monotonicity,[status(thm)],[18509])).
% 25.13/16.90 tff(18511,plain,
% 25.13/16.90 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB111)) | v118(constB111))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB111) | (~v120(constB111)))),
% 25.13/16.90 inference(transitivity,[status(thm)],[18510, 18508])).
% 25.13/16.90 tff(18512,plain,
% 25.13/16.90 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB111)) | v118(constB111))),
% 25.13/16.90 inference(quant_inst,[status(thm)],[])).
% 25.13/16.90 tff(18513,plain,
% 25.13/16.90 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB111) | (~v120(constB111))),
% 25.13/16.90 inference(modus_ponens,[status(thm)],[18512, 18511])).
% 25.13/16.90 tff(18514,plain,
% 25.13/16.90 (~v120(constB111)),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18513, 2210, 18507])).
% 25.13/16.90 tff(18515,plain,
% 25.13/16.90 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111))),
% 25.13/16.90 inference(rewrite,[status(thm)],[])).
% 25.13/16.90 tff(18516,plain,
% 25.13/16.90 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111))),
% 25.13/16.90 inference(quant_inst,[status(thm)],[])).
% 25.13/16.90 tff(18517,plain,
% 25.13/16.90 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111)),
% 25.13/16.90 inference(modus_ponens,[status(thm)],[18516, 18515])).
% 25.13/16.90 tff(18518,plain,
% 25.13/16.90 ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2)),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18517, 2012, 18514])).
% 25.13/16.90 tff(18519,plain,
% 25.13/16.90 ($false),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18518, 18506, 18497, 18238])).
% 25.13/16.90 tff(18520,plain,(v90(constB111, bitIndex2) | v110(constB112)), inference(lemma,lemma(discharge,[]))).
% 25.13/16.90 tff(18521,plain,
% 25.13/16.90 (v110(constB112)),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18520, 18150])).
% 25.13/16.90 tff(18522,plain,
% 25.13/16.90 (v100(constB112)),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18368, 18521])).
% 25.13/16.90 tff(18523,plain,
% 25.13/16.90 (v90(constB112, bitIndex2) | (~v129(constB112, bitIndex2))),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18419, 1204, 18522])).
% 25.13/16.90 tff(18524,plain,
% 25.13/16.90 (v90(constB112, bitIndex2)),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18523, 18237])).
% 25.13/16.90 tff(18525,plain,
% 25.13/16.90 ((~v1(constB113)) <=> (~v1(constB113))),
% 25.13/16.90 inference(rewrite,[status(thm)],[])).
% 25.13/16.90 tff(18526,axiom,(~v1(constB113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_113_1_1')).
% 25.13/16.90 tff(18527,plain,
% 25.13/16.90 (~v1(constB113)),
% 25.13/16.90 inference(modus_ponens,[status(thm)],[18526, 18525])).
% 25.13/16.90 tff(18528,plain,
% 25.13/16.90 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 25.13/16.90 inference(rewrite,[status(thm)],[])).
% 25.13/16.90 tff(18529,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_112_1')).
% 25.13/16.90 tff(18530,plain,
% 25.13/16.90 (nextState(constB112, constB113)),
% 25.13/16.90 inference(modus_ponens,[status(thm)],[18529, 18528])).
% 25.13/16.90 tff(18531,plain,
% 25.13/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 25.13/16.90 inference(rewrite,[status(thm)],[])).
% 25.13/16.90 tff(18532,plain,
% 25.13/16.90 (((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113)) <=> (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 25.13/16.90 inference(rewrite,[status(thm)],[])).
% 25.13/16.90 tff(18533,plain,
% 25.13/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113))))),
% 25.13/16.90 inference(monotonicity,[status(thm)],[18532])).
% 25.13/16.90 tff(18534,plain,
% 25.13/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 25.13/16.90 inference(transitivity,[status(thm)],[18533, 18531])).
% 25.13/16.90 tff(18535,plain,
% 25.13/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))),
% 25.13/16.90 inference(quant_inst,[status(thm)],[])).
% 25.13/16.90 tff(18536,plain,
% 25.13/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113))),
% 25.13/16.90 inference(modus_ponens,[status(thm)],[18535, 18534])).
% 25.13/16.90 tff(18537,plain,
% 25.13/16.90 (~v101(constB113)),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18536, 860, 18530, 18527])).
% 25.13/16.90 tff(18538,plain,
% 25.13/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))),
% 25.13/16.90 inference(rewrite,[status(thm)],[])).
% 25.13/16.90 tff(18539,plain,
% 25.13/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))),
% 25.13/16.90 inference(quant_inst,[status(thm)],[])).
% 25.13/16.90 tff(18540,plain,
% 25.13/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113))),
% 25.13/16.90 inference(modus_ponens,[status(thm)],[18539, 18538])).
% 25.13/16.90 tff(18541,plain,
% 25.13/16.90 (v101(constB113) | (~v100(constB113))),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18540, 877, 18530])).
% 25.13/16.90 tff(18542,plain,
% 25.13/16.90 (~v100(constB113)),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18541, 18537])).
% 25.13/16.90 tff(18543,plain,
% 25.13/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex2))),
% 25.13/16.90 inference(rewrite,[status(thm)],[])).
% 25.13/16.90 tff(18544,plain,
% 25.13/16.90 (((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex2)) | v100(constB113) | v90(constB113, bitIndex2)) <=> ((~v90(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex2))),
% 25.13/16.90 inference(rewrite,[status(thm)],[])).
% 25.13/16.90 tff(18545,plain,
% 25.13/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex2)) | v100(constB113) | v90(constB113, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex2)))),
% 25.13/16.90 inference(monotonicity,[status(thm)],[18544])).
% 25.13/16.90 tff(18546,plain,
% 25.13/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex2)) | v100(constB113) | v90(constB113, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex2))),
% 25.13/16.90 inference(transitivity,[status(thm)],[18545, 18543])).
% 25.13/16.90 tff(18547,plain,
% 25.13/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex2)) | v100(constB113) | v90(constB113, bitIndex2))),
% 25.13/16.90 inference(quant_inst,[status(thm)],[])).
% 25.13/16.90 tff(18548,plain,
% 25.13/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex2)),
% 25.13/16.90 inference(modus_ponens,[status(thm)],[18547, 18546])).
% 25.13/16.90 tff(18549,plain,
% 25.13/16.90 ((~v90(constB112, bitIndex2)) | v100(constB113) | v90(constB113, bitIndex2)),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18548, 1240, 18530])).
% 25.13/16.90 tff(18550,plain,
% 25.13/16.90 ((~v90(constB112, bitIndex2)) | v90(constB113, bitIndex2)),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18549, 18542])).
% 25.13/16.90 tff(18551,plain,
% 25.13/16.90 (v90(constB113, bitIndex2)),
% 25.13/16.90 inference(unit_resolution,[status(thm)],[18550, 18524])).
% 25.13/16.90 tff(18552,plain,
% 25.13/16.90 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB111)) | (~v130(constB111, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB111)) | (~v130(constB111, bitIndex1)))),
% 25.13/16.90 inference(rewrite,[status(thm)],[])).
% 25.13/16.90 tff(18553,plain,
% 25.13/16.90 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB111)) | (~v130(constB111, bitIndex1)))),
% 25.13/16.90 inference(quant_inst,[status(thm)],[])).
% 25.13/16.90 tff(18554,plain,
% 25.13/16.90 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB111)) | (~v130(constB111, bitIndex1))),
% 25.19/16.90 inference(modus_ponens,[status(thm)],[18553, 18552])).
% 25.19/16.90 tff(18555,plain,
% 25.19/16.90 (~v130(constB111, bitIndex1)),
% 25.19/16.90 inference(unit_resolution,[status(thm)],[18554, 2792, 18216])).
% 25.19/16.90 tff(18556,plain,
% 25.19/16.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB111, bitIndex1)) | v26(constB111) | v130(constB111, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB111, bitIndex1)) | v26(constB111) | v130(constB111, bitIndex1))),
% 25.19/16.90 inference(rewrite,[status(thm)],[])).
% 25.19/16.90 tff(18557,plain,
% 25.19/16.90 ((v26(constB111) | v130(constB111, bitIndex1) | (~v127(constB111, bitIndex1))) <=> ((~v127(constB111, bitIndex1)) | v26(constB111) | v130(constB111, bitIndex1))),
% 25.19/16.90 inference(rewrite,[status(thm)],[])).
% 25.19/16.90 tff(18558,plain,
% 25.19/16.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB111) | v130(constB111, bitIndex1) | (~v127(constB111, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB111, bitIndex1)) | v26(constB111) | v130(constB111, bitIndex1)))),
% 25.19/16.90 inference(monotonicity,[status(thm)],[18557])).
% 25.19/16.90 tff(18559,plain,
% 25.19/16.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB111) | v130(constB111, bitIndex1) | (~v127(constB111, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB111, bitIndex1)) | v26(constB111) | v130(constB111, bitIndex1))),
% 25.19/16.90 inference(transitivity,[status(thm)],[18558, 18556])).
% 25.19/16.90 tff(18560,plain,
% 25.19/16.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB111) | v130(constB111, bitIndex1) | (~v127(constB111, bitIndex1)))),
% 25.19/16.90 inference(quant_inst,[status(thm)],[])).
% 25.19/16.90 tff(18561,plain,
% 25.19/16.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB111, bitIndex1)) | v26(constB111) | v130(constB111, bitIndex1)),
% 25.19/16.90 inference(modus_ponens,[status(thm)],[18560, 18559])).
% 25.19/16.90 tff(18562,plain,
% 25.19/16.90 ((~v127(constB111, bitIndex1)) | v130(constB111, bitIndex1)),
% 25.19/16.90 inference(unit_resolution,[status(thm)],[18561, 1270, 18224])).
% 25.19/16.90 tff(18563,plain,
% 25.19/16.90 (~v127(constB111, bitIndex1)),
% 25.19/16.90 inference(unit_resolution,[status(thm)],[18562, 18555])).
% 25.19/16.90 tff(18564,plain,
% 25.19/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex1) | (~v129(constB112, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex1) | (~v129(constB112, bitIndex1)))),
% 25.19/16.90 inference(rewrite,[status(thm)],[])).
% 25.19/16.90 tff(18565,plain,
% 25.19/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex1) | (~v129(constB112, bitIndex1)))),
% 25.19/16.90 inference(quant_inst,[status(thm)],[])).
% 25.19/16.90 tff(18566,plain,
% 25.19/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex1) | (~v129(constB112, bitIndex1))),
% 25.19/16.90 inference(modus_ponens,[status(thm)],[18565, 18564])).
% 25.19/16.90 tff(18567,plain,
% 25.19/16.90 (v127(constB111, bitIndex1) | (~v129(constB112, bitIndex1))),
% 25.19/16.90 inference(unit_resolution,[status(thm)],[18566, 1288, 18232])).
% 25.19/16.90 tff(18568,plain,
% 25.19/16.90 (~v129(constB112, bitIndex1)),
% 25.19/16.90 inference(unit_resolution,[status(thm)],[18567, 18563])).
% 25.19/16.90 tff(18569,plain,
% 25.19/16.90 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB112, bitIndex1)) | v129(constB112, bitIndex1) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB112, bitIndex1)) | v129(constB112, bitIndex1) | (~v100(constB112)))),
% 25.19/16.90 inference(rewrite,[status(thm)],[])).
% 25.19/16.90 tff(18570,plain,
% 25.19/16.90 (((~v90(constB112, bitIndex1)) | (~v100(constB112)) | v129(constB112, bitIndex1)) <=> ((~v90(constB112, bitIndex1)) | v129(constB112, bitIndex1) | (~v100(constB112)))),
% 25.19/16.90 inference(rewrite,[status(thm)],[])).
% 25.19/16.90 tff(18571,plain,
% 25.19/16.90 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB112, bitIndex1)) | (~v100(constB112)) | v129(constB112, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB112, bitIndex1)) | v129(constB112, bitIndex1) | (~v100(constB112))))),
% 25.19/16.90 inference(monotonicity,[status(thm)],[18570])).
% 25.19/16.90 tff(18572,plain,
% 25.19/16.90 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB112, bitIndex1)) | (~v100(constB112)) | v129(constB112, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB112, bitIndex1)) | v129(constB112, bitIndex1) | (~v100(constB112)))),
% 25.19/16.90 inference(transitivity,[status(thm)],[18571, 18569])).
% 25.19/16.90 tff(18573,plain,
% 25.19/16.90 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB112, bitIndex1)) | (~v100(constB112)) | v129(constB112, bitIndex1))),
% 25.19/16.90 inference(quant_inst,[status(thm)],[])).
% 25.19/16.90 tff(18574,plain,
% 25.19/16.90 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB112, bitIndex1)) | v129(constB112, bitIndex1) | (~v100(constB112))),
% 25.19/16.90 inference(modus_ponens,[status(thm)],[18573, 18572])).
% 25.19/16.90 tff(18575,plain,
% 25.19/16.90 ((~v90(constB112, bitIndex1)) | v129(constB112, bitIndex1)),
% 25.19/16.90 inference(unit_resolution,[status(thm)],[18574, 1303, 18522])).
% 25.19/16.90 tff(18576,plain,
% 25.19/16.90 (~v90(constB112, bitIndex1)),
% 25.19/16.90 inference(unit_resolution,[status(thm)],[18575, 18568])).
% 25.19/16.90 tff(18577,plain,
% 25.19/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex1)))),
% 25.19/16.90 inference(rewrite,[status(thm)],[])).
% 25.19/16.90 tff(18578,plain,
% 25.19/16.90 (((~nextState(constB112, constB113)) | v90(constB112, bitIndex1) | v100(constB113) | (~v90(constB113, bitIndex1))) <=> (v90(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex1)))),
% 25.19/16.90 inference(rewrite,[status(thm)],[])).
% 25.19/16.90 tff(18579,plain,
% 25.19/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex1) | v100(constB113) | (~v90(constB113, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex1))))),
% 25.19/16.90 inference(monotonicity,[status(thm)],[18578])).
% 25.19/16.90 tff(18580,plain,
% 25.19/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex1) | v100(constB113) | (~v90(constB113, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex1)))),
% 25.19/16.90 inference(transitivity,[status(thm)],[18579, 18577])).
% 25.19/16.90 tff(18581,plain,
% 25.19/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex1) | v100(constB113) | (~v90(constB113, bitIndex1)))),
% 25.19/16.90 inference(quant_inst,[status(thm)],[])).
% 25.19/16.90 tff(18582,plain,
% 25.19/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex1))),
% 25.19/16.90 inference(modus_ponens,[status(thm)],[18581, 18580])).
% 25.19/16.90 tff(18583,plain,
% 25.19/16.90 (v90(constB112, bitIndex1) | v100(constB113) | (~v90(constB113, bitIndex1))),
% 25.19/16.90 inference(unit_resolution,[status(thm)],[18582, 913, 18530])).
% 25.19/16.90 tff(18584,plain,
% 25.19/16.90 (v90(constB112, bitIndex1) | (~v90(constB113, bitIndex1))),
% 25.19/16.90 inference(unit_resolution,[status(thm)],[18583, 18542])).
% 25.19/16.90 tff(18585,plain,
% 25.19/16.90 (~v90(constB113, bitIndex1)),
% 25.19/16.90 inference(unit_resolution,[status(thm)],[18584, 18576])).
% 25.19/16.90 tff(18586,plain,
% 25.19/16.90 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB111)) | (~v130(constB111, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB111)) | (~v130(constB111, bitIndex0)))),
% 25.19/16.90 inference(rewrite,[status(thm)],[])).
% 25.19/16.90 tff(18587,plain,
% 25.19/16.90 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB111)) | (~v130(constB111, bitIndex0)))),
% 25.19/16.90 inference(quant_inst,[status(thm)],[])).
% 25.19/16.90 tff(18588,plain,
% 25.19/16.90 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB111)) | (~v130(constB111, bitIndex0))),
% 25.19/16.90 inference(modus_ponens,[status(thm)],[18587, 18586])).
% 25.19/16.90 tff(18589,plain,
% 25.19/16.90 (~v130(constB111, bitIndex0)),
% 25.19/16.90 inference(unit_resolution,[status(thm)],[18588, 2833, 18216])).
% 25.19/16.90 tff(18590,plain,
% 25.19/16.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))),
% 25.19/16.90 inference(rewrite,[status(thm)],[])).
% 25.19/16.90 tff(18591,plain,
% 25.19/16.90 ((v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0))) <=> ((~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))),
% 25.19/16.90 inference(rewrite,[status(thm)],[])).
% 25.19/16.90 tff(18592,plain,
% 25.19/16.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0)))),
% 25.19/16.90 inference(monotonicity,[status(thm)],[18591])).
% 25.19/16.90 tff(18593,plain,
% 25.19/16.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))),
% 25.19/16.90 inference(transitivity,[status(thm)],[18592, 18590])).
% 25.19/16.90 tff(18594,plain,
% 25.19/16.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0)))),
% 25.19/16.91 inference(quant_inst,[status(thm)],[])).
% 25.19/16.91 tff(18595,plain,
% 25.19/16.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0)),
% 25.19/16.91 inference(modus_ponens,[status(thm)],[18594, 18593])).
% 25.19/16.91 tff(18596,plain,
% 25.19/16.91 ((~v127(constB111, bitIndex0)) | v130(constB111, bitIndex0)),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18595, 1341, 18224])).
% 25.19/16.91 tff(18597,plain,
% 25.19/16.91 (~v127(constB111, bitIndex0)),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18596, 18589])).
% 25.19/16.91 tff(18598,plain,
% 25.19/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0)))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18599,plain,
% 25.19/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0)))),
% 25.19/16.91 inference(quant_inst,[status(thm)],[])).
% 25.19/16.91 tff(18600,plain,
% 25.19/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0))),
% 25.19/16.91 inference(modus_ponens,[status(thm)],[18599, 18598])).
% 25.19/16.91 tff(18601,plain,
% 25.19/16.91 (v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0))),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18600, 1359, 18232])).
% 25.19/16.91 tff(18602,plain,
% 25.19/16.91 (~v129(constB112, bitIndex0)),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18601, 18597])).
% 25.19/16.91 tff(18603,plain,
% 25.19/16.91 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18604,plain,
% 25.19/16.91 (((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0)) <=> ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18605,plain,
% 25.19/16.91 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112))))),
% 25.19/16.91 inference(monotonicity,[status(thm)],[18604])).
% 25.19/16.91 tff(18606,plain,
% 25.19/16.91 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))),
% 25.19/16.91 inference(transitivity,[status(thm)],[18605, 18603])).
% 25.19/16.91 tff(18607,plain,
% 25.19/16.91 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0))),
% 25.19/16.91 inference(quant_inst,[status(thm)],[])).
% 25.19/16.91 tff(18608,plain,
% 25.19/16.91 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112))),
% 25.19/16.91 inference(modus_ponens,[status(thm)],[18607, 18606])).
% 25.19/16.91 tff(18609,plain,
% 25.19/16.91 ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0)),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18608, 1374, 18522])).
% 25.19/16.91 tff(18610,plain,
% 25.19/16.91 (~v90(constB112, bitIndex0)),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18609, 18602])).
% 25.19/16.91 tff(18611,plain,
% 25.19/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18612,plain,
% 25.19/16.91 (((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0))) <=> (v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18613,plain,
% 25.19/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0))))),
% 25.19/16.91 inference(monotonicity,[status(thm)],[18612])).
% 25.19/16.91 tff(18614,plain,
% 25.19/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 25.19/16.91 inference(transitivity,[status(thm)],[18613, 18611])).
% 25.19/16.91 tff(18615,plain,
% 25.19/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 25.19/16.91 inference(quant_inst,[status(thm)],[])).
% 25.19/16.91 tff(18616,plain,
% 25.19/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0))),
% 25.19/16.91 inference(modus_ponens,[status(thm)],[18615, 18614])).
% 25.19/16.91 tff(18617,plain,
% 25.19/16.91 (v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0))),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18616, 934, 18530])).
% 25.19/16.91 tff(18618,plain,
% 25.19/16.91 (v90(constB112, bitIndex0) | (~v90(constB113, bitIndex0))),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18617, 18542])).
% 25.19/16.91 tff(18619,plain,
% 25.19/16.91 (~v90(constB113, bitIndex0)),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18618, 18610])).
% 25.19/16.91 tff(18620,plain,
% 25.19/16.91 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB113, bitIndex0) | v90(constB113, bitIndex1) | (~v90(constB113, bitIndex2)) | v123(constB113))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB113, bitIndex0) | v90(constB113, bitIndex1) | (~v90(constB113, bitIndex2)) | v123(constB113))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18621,plain,
% 25.19/16.91 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB113, bitIndex0) | v90(constB113, bitIndex1) | (~v90(constB113, bitIndex2)) | v123(constB113))),
% 25.19/16.91 inference(quant_inst,[status(thm)],[])).
% 25.19/16.91 tff(18622,plain,
% 25.19/16.91 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB113, bitIndex0) | v90(constB113, bitIndex1) | (~v90(constB113, bitIndex2)) | v123(constB113)),
% 25.19/16.91 inference(modus_ponens,[status(thm)],[18621, 18620])).
% 25.19/16.91 tff(18623,plain,
% 25.19/16.91 (v123(constB113)),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18622, 1401, 18619, 18585, 18551])).
% 25.19/16.91 tff(18624,plain,
% 25.19/16.91 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB113)) | v115(constB113))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB113)) | v115(constB113))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18625,plain,
% 25.19/16.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB113)) | v115(constB113))),
% 25.19/16.91 inference(quant_inst,[status(thm)],[])).
% 25.19/16.91 tff(18626,plain,
% 25.19/16.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB113)) | v115(constB113)),
% 25.19/16.91 inference(modus_ponens,[status(thm)],[18625, 18624])).
% 25.19/16.91 tff(18627,plain,
% 25.19/16.91 (v115(constB113)),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18626, 1412, 18623])).
% 25.19/16.91 tff(18628,plain,
% 25.19/16.91 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB113)) | v114(constB113))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB113)) | v114(constB113))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18629,plain,
% 25.19/16.91 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB113)) | v114(constB113))),
% 25.19/16.91 inference(quant_inst,[status(thm)],[])).
% 25.19/16.91 tff(18630,plain,
% 25.19/16.91 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB113)) | v114(constB113)),
% 25.19/16.91 inference(modus_ponens,[status(thm)],[18629, 18628])).
% 25.19/16.91 tff(18631,plain,
% 25.19/16.91 (v114(constB113)),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18630, 1022, 18627])).
% 25.19/16.91 tff(18632,plain,
% 25.19/16.91 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB113) | (~v114(constB113)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB113) | (~v114(constB113)))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18633,plain,
% 25.19/16.91 (((~v114(constB113)) | v113(constB113)) <=> (v113(constB113) | (~v114(constB113)))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18634,plain,
% 25.19/16.91 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB113)) | v113(constB113))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB113) | (~v114(constB113))))),
% 25.19/16.91 inference(monotonicity,[status(thm)],[18633])).
% 25.19/16.91 tff(18635,plain,
% 25.19/16.91 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB113)) | v113(constB113))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB113) | (~v114(constB113)))),
% 25.19/16.91 inference(transitivity,[status(thm)],[18634, 18632])).
% 25.19/16.91 tff(18636,plain,
% 25.19/16.91 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB113)) | v113(constB113))),
% 25.19/16.91 inference(quant_inst,[status(thm)],[])).
% 25.19/16.91 tff(18637,plain,
% 25.19/16.91 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB113) | (~v114(constB113))),
% 25.19/16.91 inference(modus_ponens,[status(thm)],[18636, 18635])).
% 25.19/16.91 tff(18638,plain,
% 25.19/16.91 (v113(constB113)),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18637, 1036, 18631])).
% 25.19/16.91 tff(18639,assumption,(v26(constB113)), introduced(assumption)).
% 25.19/16.91 tff(18640,plain,
% 25.19/16.91 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB113))),
% 25.19/16.91 inference(quant_inst,[status(thm)],[])).
% 25.19/16.91 tff(18641,plain,
% 25.19/16.91 ($false),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18640, 797, 18639])).
% 25.19/16.91 tff(18642,plain,(~v26(constB113)), inference(lemma,lemma(discharge,[]))).
% 25.19/16.91 tff(18643,plain,
% 25.19/16.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | v112(constB113) | (~v113(constB113)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18644,plain,
% 25.19/16.91 ((v26(constB113) | (~v113(constB113)) | v112(constB113)) <=> (v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18645,plain,
% 25.19/16.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | v112(constB113) | (~v113(constB113))))),
% 25.19/16.91 inference(monotonicity,[status(thm)],[18644])).
% 25.19/16.91 tff(18646,plain,
% 25.19/16.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 25.19/16.91 inference(transitivity,[status(thm)],[18645, 18643])).
% 25.19/16.91 tff(18647,plain,
% 25.19/16.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))),
% 25.19/16.91 inference(quant_inst,[status(thm)],[])).
% 25.19/16.91 tff(18648,plain,
% 25.19/16.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113))),
% 25.19/16.91 inference(modus_ponens,[status(thm)],[18647, 18646])).
% 25.19/16.91 tff(18649,plain,
% 25.19/16.91 (v112(constB113) | (~v113(constB113))),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18648, 1050, 18642])).
% 25.19/16.91 tff(18650,plain,
% 25.19/16.91 (v112(constB113)),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18649, 18638])).
% 25.19/16.91 tff(18651,plain,
% 25.19/16.91 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB113) | (~v112(constB113)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB113) | (~v112(constB113)))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18652,plain,
% 25.19/16.91 (((~v112(constB113)) | v108(constB113)) <=> (v108(constB113) | (~v112(constB113)))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18653,plain,
% 25.19/16.91 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB113)) | v108(constB113))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB113) | (~v112(constB113))))),
% 25.19/16.91 inference(monotonicity,[status(thm)],[18652])).
% 25.19/16.91 tff(18654,plain,
% 25.19/16.91 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB113)) | v108(constB113))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB113) | (~v112(constB113)))),
% 25.19/16.91 inference(transitivity,[status(thm)],[18653, 18651])).
% 25.19/16.91 tff(18655,plain,
% 25.19/16.91 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB113)) | v108(constB113))),
% 25.19/16.91 inference(quant_inst,[status(thm)],[])).
% 25.19/16.91 tff(18656,plain,
% 25.19/16.91 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB113) | (~v112(constB113))),
% 25.19/16.91 inference(modus_ponens,[status(thm)],[18655, 18654])).
% 25.19/16.91 tff(18657,plain,
% 25.19/16.91 (v108(constB113)),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18656, 1062, 18650])).
% 25.19/16.91 tff(18658,plain,
% 25.19/16.91 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18659,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_113_1')).
% 25.19/16.91 tff(18660,plain,
% 25.19/16.91 (nextState(constB113, constB114)),
% 25.19/16.91 inference(modus_ponens,[status(thm)],[18659, 18658])).
% 25.19/16.91 tff(18661,plain,
% 25.19/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18662,plain,
% 25.19/16.91 (((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114)) <=> ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18663,plain,
% 25.19/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113))))),
% 25.19/16.91 inference(monotonicity,[status(thm)],[18662])).
% 25.19/16.91 tff(18664,plain,
% 25.19/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 25.19/16.91 inference(transitivity,[status(thm)],[18663, 18661])).
% 25.19/16.91 tff(18665,plain,
% 25.19/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))),
% 25.19/16.91 inference(quant_inst,[status(thm)],[])).
% 25.19/16.91 tff(18666,plain,
% 25.19/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113))),
% 25.19/16.91 inference(modus_ponens,[status(thm)],[18665, 18664])).
% 25.19/16.91 tff(18667,plain,
% 25.19/16.91 (v110(constB114) | (~v108(constB113))),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18666, 1082, 18660])).
% 25.19/16.91 tff(18668,plain,
% 25.19/16.91 (v110(constB114)),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18667, 18657])).
% 25.19/16.91 tff(18669,plain,
% 25.19/16.91 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18670,plain,
% 25.19/16.91 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))),
% 25.19/16.91 inference(quant_inst,[status(thm)],[])).
% 25.19/16.91 tff(18671,plain,
% 25.19/16.91 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114))),
% 25.19/16.91 inference(modus_ponens,[status(thm)],[18670, 18669])).
% 25.19/16.91 tff(18672,plain,
% 25.19/16.91 (~v104(constB114)),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18671, 1100, 18660, 18527])).
% 25.19/16.91 tff(18673,plain,
% 25.19/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18674,plain,
% 25.19/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))),
% 25.19/16.91 inference(quant_inst,[status(thm)],[])).
% 25.19/16.91 tff(18675,plain,
% 25.19/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v102(constB114) | v104(constB114)),
% 25.19/16.91 inference(modus_ponens,[status(thm)],[18674, 18673])).
% 25.19/16.91 tff(18676,plain,
% 25.19/16.91 (v102(constB114) | v104(constB114)),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18675, 1114, 18660])).
% 25.19/16.91 tff(18677,plain,
% 25.19/16.91 (v102(constB114)),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18676, 18672])).
% 25.19/16.91 tff(18678,plain,
% 25.19/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18679,plain,
% 25.19/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))),
% 25.19/16.91 inference(quant_inst,[status(thm)],[])).
% 25.19/16.91 tff(18680,plain,
% 25.19/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114))),
% 25.19/16.91 inference(modus_ponens,[status(thm)],[18679, 18678])).
% 25.19/16.91 tff(18681,plain,
% 25.19/16.91 (v101(constB114) | (~v102(constB114))),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18680, 1129, 18660, 603])).
% 25.19/16.91 tff(18682,plain,
% 25.19/16.91 (v101(constB114)),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18681, 18677])).
% 25.19/16.91 tff(18683,plain,
% 25.19/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18684,plain,
% 25.19/16.91 (((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114)) <=> ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18685,plain,
% 25.19/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114))))),
% 25.19/16.91 inference(monotonicity,[status(thm)],[18684])).
% 25.19/16.91 tff(18686,plain,
% 25.19/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 25.19/16.91 inference(transitivity,[status(thm)],[18685, 18683])).
% 25.19/16.91 tff(18687,plain,
% 25.19/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))),
% 25.19/16.91 inference(quant_inst,[status(thm)],[])).
% 25.19/16.91 tff(18688,plain,
% 25.19/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 25.19/16.91 inference(modus_ponens,[status(thm)],[18687, 18686])).
% 25.19/16.91 tff(18689,plain,
% 25.19/16.91 (v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18688, 1144, 18660])).
% 25.19/16.91 tff(18690,plain,
% 25.19/16.91 (v100(constB114) | (~v110(constB114))),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18689, 18682])).
% 25.19/16.91 tff(18691,plain,
% 25.19/16.91 (v100(constB114)),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18690, 18668])).
% 25.19/16.91 tff(18692,plain,
% 25.19/16.91 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB113)) | v130(constB113, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB113)) | v130(constB113, bitIndex2))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18693,plain,
% 25.19/16.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB113)) | v130(constB113, bitIndex2))),
% 25.19/16.91 inference(quant_inst,[status(thm)],[])).
% 25.19/16.91 tff(18694,plain,
% 25.19/16.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB113)) | v130(constB113, bitIndex2)),
% 25.19/16.91 inference(modus_ponens,[status(thm)],[18693, 18692])).
% 25.19/16.91 tff(18695,plain,
% 25.19/16.91 (v130(constB113, bitIndex2)),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18694, 1483, 18623])).
% 25.19/16.91 tff(18696,plain,
% 25.19/16.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB113) | (~v130(constB113, bitIndex2)) | v127(constB113, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB113) | (~v130(constB113, bitIndex2)) | v127(constB113, bitIndex2))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18697,plain,
% 25.19/16.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB113) | (~v130(constB113, bitIndex2)) | v127(constB113, bitIndex2))),
% 25.19/16.91 inference(quant_inst,[status(thm)],[])).
% 25.19/16.91 tff(18698,plain,
% 25.19/16.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB113) | (~v130(constB113, bitIndex2)) | v127(constB113, bitIndex2)),
% 25.19/16.91 inference(modus_ponens,[status(thm)],[18697, 18696])).
% 25.19/16.91 tff(18699,plain,
% 25.19/16.91 ((~v130(constB113, bitIndex2)) | v127(constB113, bitIndex2)),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18698, 1174, 18642])).
% 25.19/16.91 tff(18700,plain,
% 25.19/16.91 (v127(constB113, bitIndex2)),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18699, 18695])).
% 25.19/16.91 tff(18701,plain,
% 25.19/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex2)) | v129(constB114, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex2)) | v129(constB114, bitIndex2))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18702,plain,
% 25.19/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex2)) | v129(constB114, bitIndex2))),
% 25.19/16.91 inference(quant_inst,[status(thm)],[])).
% 25.19/16.91 tff(18703,plain,
% 25.19/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex2)) | v129(constB114, bitIndex2)),
% 25.19/16.91 inference(modus_ponens,[status(thm)],[18702, 18701])).
% 25.19/16.91 tff(18704,plain,
% 25.19/16.91 ((~v127(constB113, bitIndex2)) | v129(constB114, bitIndex2)),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18703, 1189, 18660])).
% 25.19/16.91 tff(18705,plain,
% 25.19/16.91 (v129(constB114, bitIndex2)),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18704, 18700])).
% 25.19/16.91 tff(18706,plain,
% 25.19/16.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~v129(constB114, bitIndex2)) | (~v100(constB114)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB114, bitIndex2) | (~v129(constB114, bitIndex2)) | (~v100(constB114)))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18707,plain,
% 25.19/16.91 ((v90(constB114, bitIndex2) | (~v100(constB114)) | (~v129(constB114, bitIndex2))) <=> (v90(constB114, bitIndex2) | (~v129(constB114, bitIndex2)) | (~v100(constB114)))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18708,plain,
% 25.19/16.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~v100(constB114)) | (~v129(constB114, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~v129(constB114, bitIndex2)) | (~v100(constB114))))),
% 25.19/16.91 inference(monotonicity,[status(thm)],[18707])).
% 25.19/16.91 tff(18709,plain,
% 25.19/16.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~v100(constB114)) | (~v129(constB114, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB114, bitIndex2) | (~v129(constB114, bitIndex2)) | (~v100(constB114)))),
% 25.19/16.91 inference(transitivity,[status(thm)],[18708, 18706])).
% 25.19/16.91 tff(18710,plain,
% 25.19/16.91 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~v100(constB114)) | (~v129(constB114, bitIndex2)))),
% 25.19/16.91 inference(quant_inst,[status(thm)],[])).
% 25.19/16.91 tff(18711,plain,
% 25.19/16.91 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB114, bitIndex2) | (~v129(constB114, bitIndex2)) | (~v100(constB114))),
% 25.19/16.91 inference(modus_ponens,[status(thm)],[18710, 18709])).
% 25.19/16.91 tff(18712,plain,
% 25.19/16.91 (v90(constB114, bitIndex2) | (~v100(constB114))),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18711, 1204, 18705])).
% 25.19/16.91 tff(18713,plain,
% 25.19/16.91 (v90(constB114, bitIndex2)),
% 25.19/16.91 inference(unit_resolution,[status(thm)],[18712, 18691])).
% 25.19/16.91 tff(18714,plain,
% 25.19/16.91 ((~v1(constB115)) <=> (~v1(constB115))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18715,axiom,(~v1(constB115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_115_1_1')).
% 25.19/16.91 tff(18716,plain,
% 25.19/16.91 (~v1(constB115)),
% 25.19/16.91 inference(modus_ponens,[status(thm)],[18715, 18714])).
% 25.19/16.91 tff(18717,plain,
% 25.19/16.91 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18718,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_114_1')).
% 25.19/16.91 tff(18719,plain,
% 25.19/16.91 (nextState(constB114, constB115)),
% 25.19/16.91 inference(modus_ponens,[status(thm)],[18718, 18717])).
% 25.19/16.91 tff(18720,plain,
% 25.19/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18721,plain,
% 25.19/16.91 (((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115)) <=> (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 25.19/16.91 inference(rewrite,[status(thm)],[])).
% 25.19/16.91 tff(18722,plain,
% 25.19/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115))))),
% 25.19/16.91 inference(monotonicity,[status(thm)],[18721])).
% 25.19/16.92 tff(18723,plain,
% 25.19/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 25.19/16.92 inference(transitivity,[status(thm)],[18722, 18720])).
% 25.19/16.92 tff(18724,plain,
% 25.19/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))),
% 25.19/16.92 inference(quant_inst,[status(thm)],[])).
% 25.19/16.92 tff(18725,plain,
% 25.19/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115))),
% 25.19/16.92 inference(modus_ponens,[status(thm)],[18724, 18723])).
% 25.19/16.92 tff(18726,plain,
% 25.19/16.92 (~v101(constB115)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18725, 860, 18719, 18716])).
% 25.19/16.92 tff(18727,plain,
% 25.19/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18728,plain,
% 25.19/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))),
% 25.19/16.92 inference(quant_inst,[status(thm)],[])).
% 25.19/16.92 tff(18729,plain,
% 25.19/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115))),
% 25.19/16.92 inference(modus_ponens,[status(thm)],[18728, 18727])).
% 25.19/16.92 tff(18730,plain,
% 25.19/16.92 (v101(constB115) | (~v100(constB115))),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18729, 877, 18719])).
% 25.19/16.92 tff(18731,plain,
% 25.19/16.92 (~v100(constB115)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18730, 18726])).
% 25.19/16.92 tff(18732,plain,
% 25.19/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex2))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18733,plain,
% 25.19/16.92 (((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex2)) | v100(constB115) | v90(constB115, bitIndex2)) <=> ((~v90(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex2))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18734,plain,
% 25.19/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex2)) | v100(constB115) | v90(constB115, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex2)))),
% 25.19/16.92 inference(monotonicity,[status(thm)],[18733])).
% 25.19/16.92 tff(18735,plain,
% 25.19/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex2)) | v100(constB115) | v90(constB115, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex2))),
% 25.19/16.92 inference(transitivity,[status(thm)],[18734, 18732])).
% 25.19/16.92 tff(18736,plain,
% 25.19/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex2)) | v100(constB115) | v90(constB115, bitIndex2))),
% 25.19/16.92 inference(quant_inst,[status(thm)],[])).
% 25.19/16.92 tff(18737,plain,
% 25.19/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex2)),
% 25.19/16.92 inference(modus_ponens,[status(thm)],[18736, 18735])).
% 25.19/16.92 tff(18738,plain,
% 25.19/16.92 ((~v90(constB114, bitIndex2)) | v100(constB115) | v90(constB115, bitIndex2)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18737, 1240, 18719])).
% 25.19/16.92 tff(18739,plain,
% 25.19/16.92 ((~v90(constB114, bitIndex2)) | v90(constB115, bitIndex2)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18738, 18731])).
% 25.19/16.92 tff(18740,plain,
% 25.19/16.92 (v90(constB115, bitIndex2)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18739, 18713])).
% 25.19/16.92 tff(18741,plain,
% 25.19/16.92 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB113)) | v130(constB113, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB113)) | v130(constB113, bitIndex1))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18742,plain,
% 25.19/16.92 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB113)) | v130(constB113, bitIndex1))),
% 25.19/16.92 inference(quant_inst,[status(thm)],[])).
% 25.19/16.92 tff(18743,plain,
% 25.19/16.92 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB113)) | v130(constB113, bitIndex1)),
% 25.19/16.92 inference(modus_ponens,[status(thm)],[18742, 18741])).
% 25.19/16.92 tff(18744,plain,
% 25.19/16.92 (v130(constB113, bitIndex1)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18743, 1539, 18623])).
% 25.19/16.92 tff(18745,plain,
% 25.19/16.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18746,plain,
% 25.19/16.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1))),
% 25.19/16.92 inference(quant_inst,[status(thm)],[])).
% 25.19/16.92 tff(18747,plain,
% 25.19/16.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1)),
% 25.19/16.92 inference(modus_ponens,[status(thm)],[18746, 18745])).
% 25.19/16.92 tff(18748,plain,
% 25.19/16.92 ((~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18747, 1553, 18642])).
% 25.19/16.92 tff(18749,plain,
% 25.19/16.92 (v127(constB113, bitIndex1)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18748, 18744])).
% 25.19/16.92 tff(18750,plain,
% 25.19/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18751,plain,
% 25.19/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1))),
% 25.19/16.92 inference(quant_inst,[status(thm)],[])).
% 25.19/16.92 tff(18752,plain,
% 25.19/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1)),
% 25.19/16.92 inference(modus_ponens,[status(thm)],[18751, 18750])).
% 25.19/16.92 tff(18753,plain,
% 25.19/16.92 ((~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18752, 1568, 18660])).
% 25.19/16.92 tff(18754,plain,
% 25.19/16.92 (v129(constB114, bitIndex1)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18753, 18749])).
% 25.19/16.92 tff(18755,plain,
% 25.19/16.92 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18756,plain,
% 25.19/16.92 ((v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1))) <=> (v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18757,plain,
% 25.19/16.92 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114))))),
% 25.19/16.92 inference(monotonicity,[status(thm)],[18756])).
% 25.19/16.92 tff(18758,plain,
% 25.19/16.92 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))),
% 25.19/16.92 inference(transitivity,[status(thm)],[18757, 18755])).
% 25.19/16.92 tff(18759,plain,
% 25.19/16.92 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1)))),
% 25.19/16.92 inference(quant_inst,[status(thm)],[])).
% 25.19/16.92 tff(18760,plain,
% 25.19/16.92 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114))),
% 25.19/16.92 inference(modus_ponens,[status(thm)],[18759, 18758])).
% 25.19/16.92 tff(18761,plain,
% 25.19/16.92 (v90(constB114, bitIndex1) | (~v100(constB114))),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18760, 1583, 18754])).
% 25.19/16.92 tff(18762,plain,
% 25.19/16.92 (v90(constB114, bitIndex1)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18761, 18691])).
% 25.19/16.92 tff(18763,plain,
% 25.19/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18764,plain,
% 25.19/16.92 (((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1)) <=> ((~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18765,plain,
% 25.19/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1)))),
% 25.19/16.92 inference(monotonicity,[status(thm)],[18764])).
% 25.19/16.92 tff(18766,plain,
% 25.19/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))),
% 25.19/16.92 inference(transitivity,[status(thm)],[18765, 18763])).
% 25.19/16.92 tff(18767,plain,
% 25.19/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1))),
% 25.19/16.92 inference(quant_inst,[status(thm)],[])).
% 25.19/16.92 tff(18768,plain,
% 25.19/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1)),
% 25.19/16.92 inference(modus_ponens,[status(thm)],[18767, 18766])).
% 25.19/16.92 tff(18769,plain,
% 25.19/16.92 ((~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18768, 1601, 18719])).
% 25.19/16.92 tff(18770,plain,
% 25.19/16.92 ((~v90(constB114, bitIndex1)) | v90(constB115, bitIndex1)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18769, 18731])).
% 25.19/16.92 tff(18771,plain,
% 25.19/16.92 (v90(constB115, bitIndex1)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18770, 18762])).
% 25.19/16.92 tff(18772,plain,
% 25.19/16.92 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB113)) | (~v130(constB113, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB113)) | (~v130(constB113, bitIndex0)))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18773,plain,
% 25.19/16.92 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB113)) | (~v130(constB113, bitIndex0)))),
% 25.19/16.92 inference(quant_inst,[status(thm)],[])).
% 25.19/16.92 tff(18774,plain,
% 25.19/16.92 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB113)) | (~v130(constB113, bitIndex0))),
% 25.19/16.92 inference(modus_ponens,[status(thm)],[18773, 18772])).
% 25.19/16.92 tff(18775,plain,
% 25.19/16.92 (~v130(constB113, bitIndex0)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18774, 1617, 18623])).
% 25.19/16.92 tff(18776,plain,
% 25.19/16.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18777,plain,
% 25.19/16.92 ((v26(constB113) | v130(constB113, bitIndex0) | (~v127(constB113, bitIndex0))) <=> ((~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18778,plain,
% 25.19/16.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB113) | v130(constB113, bitIndex0) | (~v127(constB113, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0)))),
% 25.19/16.92 inference(monotonicity,[status(thm)],[18777])).
% 25.19/16.92 tff(18779,plain,
% 25.19/16.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB113) | v130(constB113, bitIndex0) | (~v127(constB113, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0))),
% 25.19/16.92 inference(transitivity,[status(thm)],[18778, 18776])).
% 25.19/16.92 tff(18780,plain,
% 25.19/16.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB113) | v130(constB113, bitIndex0) | (~v127(constB113, bitIndex0)))),
% 25.19/16.92 inference(quant_inst,[status(thm)],[])).
% 25.19/16.92 tff(18781,plain,
% 25.19/16.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0)),
% 25.19/16.92 inference(modus_ponens,[status(thm)],[18780, 18779])).
% 25.19/16.92 tff(18782,plain,
% 25.19/16.92 ((~v127(constB113, bitIndex0)) | v130(constB113, bitIndex0)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18781, 1341, 18642])).
% 25.19/16.92 tff(18783,plain,
% 25.19/16.92 (~v127(constB113, bitIndex0)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18782, 18775])).
% 25.19/16.92 tff(18784,plain,
% 25.19/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB113, constB114)) | v127(constB113, bitIndex0) | (~v129(constB114, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB113, constB114)) | v127(constB113, bitIndex0) | (~v129(constB114, bitIndex0)))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18785,plain,
% 25.19/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB113, constB114)) | v127(constB113, bitIndex0) | (~v129(constB114, bitIndex0)))),
% 25.19/16.92 inference(quant_inst,[status(thm)],[])).
% 25.19/16.92 tff(18786,plain,
% 25.19/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB113, constB114)) | v127(constB113, bitIndex0) | (~v129(constB114, bitIndex0))),
% 25.19/16.92 inference(modus_ponens,[status(thm)],[18785, 18784])).
% 25.19/16.92 tff(18787,plain,
% 25.19/16.92 (v127(constB113, bitIndex0) | (~v129(constB114, bitIndex0))),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18786, 1359, 18660])).
% 25.19/16.92 tff(18788,plain,
% 25.19/16.92 (~v129(constB114, bitIndex0)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18787, 18783])).
% 25.19/16.92 tff(18789,plain,
% 25.19/16.92 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114)))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18790,plain,
% 25.19/16.92 (((~v90(constB114, bitIndex0)) | (~v100(constB114)) | v129(constB114, bitIndex0)) <=> ((~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114)))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18791,plain,
% 25.19/16.92 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | (~v100(constB114)) | v129(constB114, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114))))),
% 25.19/16.92 inference(monotonicity,[status(thm)],[18790])).
% 25.19/16.92 tff(18792,plain,
% 25.19/16.92 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | (~v100(constB114)) | v129(constB114, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114)))),
% 25.19/16.92 inference(transitivity,[status(thm)],[18791, 18789])).
% 25.19/16.92 tff(18793,plain,
% 25.19/16.92 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | (~v100(constB114)) | v129(constB114, bitIndex0))),
% 25.19/16.92 inference(quant_inst,[status(thm)],[])).
% 25.19/16.92 tff(18794,plain,
% 25.19/16.92 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114))),
% 25.19/16.92 inference(modus_ponens,[status(thm)],[18793, 18792])).
% 25.19/16.92 tff(18795,plain,
% 25.19/16.92 ((~v90(constB114, bitIndex0)) | (~v100(constB114))),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18794, 1374, 18788])).
% 25.19/16.92 tff(18796,plain,
% 25.19/16.92 (~v90(constB114, bitIndex0)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18795, 18691])).
% 25.19/16.92 tff(18797,plain,
% 25.19/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex0)))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18798,plain,
% 25.19/16.92 (((~nextState(constB114, constB115)) | v90(constB114, bitIndex0) | v100(constB115) | (~v90(constB115, bitIndex0))) <=> (v90(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex0)))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18799,plain,
% 25.19/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex0) | v100(constB115) | (~v90(constB115, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex0))))),
% 25.19/16.92 inference(monotonicity,[status(thm)],[18798])).
% 25.19/16.92 tff(18800,plain,
% 25.19/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex0) | v100(constB115) | (~v90(constB115, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex0)))),
% 25.19/16.92 inference(transitivity,[status(thm)],[18799, 18797])).
% 25.19/16.92 tff(18801,plain,
% 25.19/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex0) | v100(constB115) | (~v90(constB115, bitIndex0)))),
% 25.19/16.92 inference(quant_inst,[status(thm)],[])).
% 25.19/16.92 tff(18802,plain,
% 25.19/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex0))),
% 25.19/16.92 inference(modus_ponens,[status(thm)],[18801, 18800])).
% 25.19/16.92 tff(18803,plain,
% 25.19/16.92 (v90(constB114, bitIndex0) | v100(constB115) | (~v90(constB115, bitIndex0))),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18802, 934, 18719])).
% 25.19/16.92 tff(18804,plain,
% 25.19/16.92 (v90(constB114, bitIndex0) | (~v90(constB115, bitIndex0))),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18803, 18731])).
% 25.19/16.92 tff(18805,plain,
% 25.19/16.92 (~v90(constB115, bitIndex0)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18804, 18796])).
% 25.19/16.92 tff(18806,plain,
% 25.19/16.92 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)) | v125(constB115))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)) | v125(constB115))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18807,plain,
% 25.19/16.92 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)) | v125(constB115))),
% 25.19/16.92 inference(quant_inst,[status(thm)],[])).
% 25.19/16.92 tff(18808,plain,
% 25.19/16.92 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)) | v125(constB115)),
% 25.19/16.92 inference(modus_ponens,[status(thm)],[18807, 18806])).
% 25.19/16.92 tff(18809,plain,
% 25.19/16.92 (v125(constB115)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18808, 1661, 18805, 18771, 18740])).
% 25.19/16.92 tff(18810,plain,
% 25.19/16.92 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB115)) | v113(constB115))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB115)) | v113(constB115))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18811,plain,
% 25.19/16.92 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB115)) | v113(constB115))),
% 25.19/16.92 inference(quant_inst,[status(thm)],[])).
% 25.19/16.92 tff(18812,plain,
% 25.19/16.92 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB115)) | v113(constB115)),
% 25.19/16.92 inference(modus_ponens,[status(thm)],[18811, 18810])).
% 25.19/16.92 tff(18813,plain,
% 25.19/16.92 (v113(constB115)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18812, 1672, 18809])).
% 25.19/16.92 tff(18814,assumption,(v26(constB115)), introduced(assumption)).
% 25.19/16.92 tff(18815,plain,
% 25.19/16.92 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB115))),
% 25.19/16.92 inference(quant_inst,[status(thm)],[])).
% 25.19/16.92 tff(18816,plain,
% 25.19/16.92 ($false),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18815, 797, 18814])).
% 25.19/16.92 tff(18817,plain,(~v26(constB115)), inference(lemma,lemma(discharge,[]))).
% 25.19/16.92 tff(18818,plain,
% 25.19/16.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | v112(constB115) | (~v113(constB115)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | v112(constB115) | (~v113(constB115)))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18819,plain,
% 25.19/16.92 ((v26(constB115) | (~v113(constB115)) | v112(constB115)) <=> (v26(constB115) | v112(constB115) | (~v113(constB115)))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18820,plain,
% 25.19/16.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | v112(constB115) | (~v113(constB115))))),
% 25.19/16.92 inference(monotonicity,[status(thm)],[18819])).
% 25.19/16.92 tff(18821,plain,
% 25.19/16.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | v112(constB115) | (~v113(constB115)))),
% 25.19/16.92 inference(transitivity,[status(thm)],[18820, 18818])).
% 25.19/16.92 tff(18822,plain,
% 25.19/16.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))),
% 25.19/16.92 inference(quant_inst,[status(thm)],[])).
% 25.19/16.92 tff(18823,plain,
% 25.19/16.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | v112(constB115) | (~v113(constB115))),
% 25.19/16.92 inference(modus_ponens,[status(thm)],[18822, 18821])).
% 25.19/16.92 tff(18824,plain,
% 25.19/16.92 (v112(constB115) | (~v113(constB115))),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18823, 1050, 18817])).
% 25.19/16.92 tff(18825,plain,
% 25.19/16.92 (v112(constB115)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18824, 18813])).
% 25.19/16.92 tff(18826,plain,
% 25.19/16.92 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB115) | (~v112(constB115)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB115) | (~v112(constB115)))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18827,plain,
% 25.19/16.92 (((~v112(constB115)) | v108(constB115)) <=> (v108(constB115) | (~v112(constB115)))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18828,plain,
% 25.19/16.92 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB115)) | v108(constB115))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB115) | (~v112(constB115))))),
% 25.19/16.92 inference(monotonicity,[status(thm)],[18827])).
% 25.19/16.92 tff(18829,plain,
% 25.19/16.92 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB115)) | v108(constB115))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB115) | (~v112(constB115)))),
% 25.19/16.92 inference(transitivity,[status(thm)],[18828, 18826])).
% 25.19/16.92 tff(18830,plain,
% 25.19/16.92 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB115)) | v108(constB115))),
% 25.19/16.92 inference(quant_inst,[status(thm)],[])).
% 25.19/16.92 tff(18831,plain,
% 25.19/16.92 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB115) | (~v112(constB115))),
% 25.19/16.92 inference(modus_ponens,[status(thm)],[18830, 18829])).
% 25.19/16.92 tff(18832,plain,
% 25.19/16.92 (v108(constB115)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18831, 1062, 18825])).
% 25.19/16.92 tff(18833,plain,
% 25.19/16.92 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18834,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_115_1')).
% 25.19/16.92 tff(18835,plain,
% 25.19/16.92 (nextState(constB115, constB116)),
% 25.19/16.92 inference(modus_ponens,[status(thm)],[18834, 18833])).
% 25.19/16.92 tff(18836,plain,
% 25.19/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18837,plain,
% 25.19/16.92 (((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116)) <=> ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18838,plain,
% 25.19/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115))))),
% 25.19/16.92 inference(monotonicity,[status(thm)],[18837])).
% 25.19/16.92 tff(18839,plain,
% 25.19/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 25.19/16.92 inference(transitivity,[status(thm)],[18838, 18836])).
% 25.19/16.92 tff(18840,plain,
% 25.19/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))),
% 25.19/16.92 inference(quant_inst,[status(thm)],[])).
% 25.19/16.92 tff(18841,plain,
% 25.19/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115))),
% 25.19/16.92 inference(modus_ponens,[status(thm)],[18840, 18839])).
% 25.19/16.92 tff(18842,plain,
% 25.19/16.92 (v110(constB116) | (~v108(constB115))),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18841, 1082, 18835])).
% 25.19/16.92 tff(18843,plain,
% 25.19/16.92 (v110(constB116)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18842, 18832])).
% 25.19/16.92 tff(18844,plain,
% 25.19/16.92 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18845,plain,
% 25.19/16.92 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))),
% 25.19/16.92 inference(quant_inst,[status(thm)],[])).
% 25.19/16.92 tff(18846,plain,
% 25.19/16.92 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116))),
% 25.19/16.92 inference(modus_ponens,[status(thm)],[18845, 18844])).
% 25.19/16.92 tff(18847,plain,
% 25.19/16.92 (~v104(constB116)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18846, 1100, 18835, 18716])).
% 25.19/16.92 tff(18848,plain,
% 25.19/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18849,plain,
% 25.19/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))),
% 25.19/16.92 inference(quant_inst,[status(thm)],[])).
% 25.19/16.92 tff(18850,plain,
% 25.19/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v102(constB116) | v104(constB116)),
% 25.19/16.92 inference(modus_ponens,[status(thm)],[18849, 18848])).
% 25.19/16.92 tff(18851,plain,
% 25.19/16.92 (v102(constB116) | v104(constB116)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18850, 1114, 18835])).
% 25.19/16.92 tff(18852,plain,
% 25.19/16.92 (v102(constB116)),
% 25.19/16.92 inference(unit_resolution,[status(thm)],[18851, 18847])).
% 25.19/16.92 tff(18853,plain,
% 25.19/16.92 (v1(constB116) <=> v1(constB116)),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18854,axiom,(v1(constB116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_116_1')).
% 25.19/16.92 tff(18855,plain,
% 25.19/16.92 (v1(constB116)),
% 25.19/16.92 inference(modus_ponens,[status(thm)],[18854, 18853])).
% 25.19/16.92 tff(18856,plain,
% 25.19/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))),
% 25.19/16.92 inference(rewrite,[status(thm)],[])).
% 25.19/16.92 tff(18857,plain,
% 25.19/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))),
% 25.19/16.93 inference(quant_inst,[status(thm)],[])).
% 25.19/16.93 tff(18858,plain,
% 25.19/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116))),
% 25.19/16.93 inference(modus_ponens,[status(thm)],[18857, 18856])).
% 25.19/16.93 tff(18859,plain,
% 25.19/16.93 (v101(constB116) | (~v102(constB116))),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18858, 1129, 18835, 18855])).
% 25.19/16.93 tff(18860,plain,
% 25.19/16.93 (v101(constB116)),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18859, 18852])).
% 25.19/16.93 tff(18861,plain,
% 25.19/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18862,plain,
% 25.19/16.93 (((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116)) <=> ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18863,plain,
% 25.19/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116))))),
% 25.19/16.93 inference(monotonicity,[status(thm)],[18862])).
% 25.19/16.93 tff(18864,plain,
% 25.19/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 25.19/16.93 inference(transitivity,[status(thm)],[18863, 18861])).
% 25.19/16.93 tff(18865,plain,
% 25.19/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))),
% 25.19/16.93 inference(quant_inst,[status(thm)],[])).
% 25.19/16.93 tff(18866,plain,
% 25.19/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 25.19/16.93 inference(modus_ponens,[status(thm)],[18865, 18864])).
% 25.19/16.93 tff(18867,plain,
% 25.19/16.93 (v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18866, 1144, 18835])).
% 25.19/16.93 tff(18868,plain,
% 25.19/16.93 (v100(constB116) | (~v110(constB116))),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18867, 18860])).
% 25.19/16.93 tff(18869,plain,
% 25.19/16.93 (v100(constB116)),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18868, 18843])).
% 25.19/16.93 tff(18870,plain,
% 25.19/16.93 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB115)) | (~v90(constB115, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB115)) | (~v90(constB115, bitIndex2)))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18871,plain,
% 25.19/16.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB115)) | (~v90(constB115, bitIndex2)))),
% 25.19/16.93 inference(quant_inst,[status(thm)],[])).
% 25.19/16.93 tff(18872,plain,
% 25.19/16.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB115)) | (~v90(constB115, bitIndex2))),
% 25.19/16.93 inference(modus_ponens,[status(thm)],[18871, 18870])).
% 25.19/16.93 tff(18873,plain,
% 25.19/16.93 (~v121(constB115)),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18872, 1729, 18740])).
% 25.19/16.93 tff(18874,plain,
% 25.19/16.93 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB115)) | (~v90(constB115, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB115)) | (~v90(constB115, bitIndex2)))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18875,plain,
% 25.19/16.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB115)) | (~v90(constB115, bitIndex2)))),
% 25.19/16.93 inference(quant_inst,[status(thm)],[])).
% 25.19/16.93 tff(18876,plain,
% 25.19/16.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB115)) | (~v90(constB115, bitIndex2))),
% 25.19/16.93 inference(modus_ponens,[status(thm)],[18875, 18874])).
% 25.19/16.93 tff(18877,plain,
% 25.19/16.93 (~v122(constB115)),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18876, 1740, 18740])).
% 25.19/16.93 tff(18878,plain,
% 25.19/16.93 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB115)) | (~v90(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB115)) | (~v90(constB115, bitIndex1)))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18879,plain,
% 25.19/16.93 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB115)) | (~v90(constB115, bitIndex1)))),
% 25.19/16.93 inference(quant_inst,[status(thm)],[])).
% 25.19/16.93 tff(18880,plain,
% 25.19/16.93 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB115)) | (~v90(constB115, bitIndex1))),
% 25.19/16.93 inference(modus_ponens,[status(thm)],[18879, 18878])).
% 25.19/16.93 tff(18881,plain,
% 25.19/16.93 (~v119(constB115)),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18880, 1751, 18771])).
% 25.19/16.93 tff(18882,plain,
% 25.19/16.93 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB115)) | (~v90(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB115)) | (~v90(constB115, bitIndex1)))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18883,plain,
% 25.19/16.93 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB115)) | (~v90(constB115, bitIndex1)))),
% 25.19/16.93 inference(quant_inst,[status(thm)],[])).
% 25.19/16.93 tff(18884,plain,
% 25.19/16.93 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB115)) | (~v90(constB115, bitIndex1))),
% 25.19/16.93 inference(modus_ponens,[status(thm)],[18883, 18882])).
% 25.19/16.93 tff(18885,plain,
% 25.19/16.93 (~v120(constB115)),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18884, 1762, 18771])).
% 25.19/16.93 tff(18886,plain,
% 25.19/16.93 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB115)) | (~v90(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB115)) | (~v90(constB115, bitIndex1)))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18887,plain,
% 25.19/16.93 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB115)) | (~v90(constB115, bitIndex1)))),
% 25.19/16.93 inference(quant_inst,[status(thm)],[])).
% 25.19/16.93 tff(18888,plain,
% 25.19/16.93 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB115)) | (~v90(constB115, bitIndex1))),
% 25.19/16.93 inference(modus_ponens,[status(thm)],[18887, 18886])).
% 25.19/16.93 tff(18889,plain,
% 25.19/16.93 (~v123(constB115)),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18888, 1773, 18771])).
% 25.19/16.93 tff(18890,plain,
% 25.19/16.93 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB115)) | (~v90(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB115)) | (~v90(constB115, bitIndex1)))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18891,plain,
% 25.19/16.93 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB115)) | (~v90(constB115, bitIndex1)))),
% 25.19/16.93 inference(quant_inst,[status(thm)],[])).
% 25.19/16.93 tff(18892,plain,
% 25.19/16.93 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB115)) | (~v90(constB115, bitIndex1))),
% 25.19/16.93 inference(modus_ponens,[status(thm)],[18891, 18890])).
% 25.19/16.93 tff(18893,plain,
% 25.19/16.93 (~v124(constB115)),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18892, 1784, 18771])).
% 25.19/16.93 tff(18894,plain,
% 25.19/16.93 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex2)))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18895,plain,
% 25.19/16.93 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex2)))),
% 25.19/16.93 inference(quant_inst,[status(thm)],[])).
% 25.19/16.93 tff(18896,plain,
% 25.19/16.93 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex2))),
% 25.19/16.93 inference(modus_ponens,[status(thm)],[18895, 18894])).
% 25.19/16.93 tff(18897,plain,
% 25.19/16.93 (~v130(constB115, bitIndex2)),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18896, 1798, 18893, 18889, 18885, 18881, 18877, 18873])).
% 25.19/16.93 tff(18898,plain,
% 25.19/16.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB115, bitIndex2)) | v26(constB115) | v130(constB115, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB115, bitIndex2)) | v26(constB115) | v130(constB115, bitIndex2))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18899,plain,
% 25.19/16.93 ((v26(constB115) | v130(constB115, bitIndex2) | (~v127(constB115, bitIndex2))) <=> ((~v127(constB115, bitIndex2)) | v26(constB115) | v130(constB115, bitIndex2))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18900,plain,
% 25.19/16.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB115) | v130(constB115, bitIndex2) | (~v127(constB115, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB115, bitIndex2)) | v26(constB115) | v130(constB115, bitIndex2)))),
% 25.19/16.93 inference(monotonicity,[status(thm)],[18899])).
% 25.19/16.93 tff(18901,plain,
% 25.19/16.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB115) | v130(constB115, bitIndex2) | (~v127(constB115, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB115, bitIndex2)) | v26(constB115) | v130(constB115, bitIndex2))),
% 25.19/16.93 inference(transitivity,[status(thm)],[18900, 18898])).
% 25.19/16.93 tff(18902,plain,
% 25.19/16.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB115) | v130(constB115, bitIndex2) | (~v127(constB115, bitIndex2)))),
% 25.19/16.93 inference(quant_inst,[status(thm)],[])).
% 25.19/16.93 tff(18903,plain,
% 25.19/16.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB115, bitIndex2)) | v26(constB115) | v130(constB115, bitIndex2)),
% 25.19/16.93 inference(modus_ponens,[status(thm)],[18902, 18901])).
% 25.19/16.93 tff(18904,plain,
% 25.19/16.93 ((~v127(constB115, bitIndex2)) | v130(constB115, bitIndex2)),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18903, 1812, 18817])).
% 25.19/16.93 tff(18905,plain,
% 25.19/16.93 (~v127(constB115, bitIndex2)),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18904, 18897])).
% 25.19/16.93 tff(18906,plain,
% 25.19/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex2) | (~v129(constB116, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex2) | (~v129(constB116, bitIndex2)))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18907,plain,
% 25.19/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex2) | (~v129(constB116, bitIndex2)))),
% 25.19/16.93 inference(quant_inst,[status(thm)],[])).
% 25.19/16.93 tff(18908,plain,
% 25.19/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex2) | (~v129(constB116, bitIndex2))),
% 25.19/16.93 inference(modus_ponens,[status(thm)],[18907, 18906])).
% 25.19/16.93 tff(18909,plain,
% 25.19/16.93 (v127(constB115, bitIndex2) | (~v129(constB116, bitIndex2))),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18908, 1830, 18835])).
% 25.19/16.93 tff(18910,plain,
% 25.19/16.93 (~v129(constB116, bitIndex2)),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18909, 18905])).
% 25.19/16.93 tff(18911,plain,
% 25.19/16.93 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB116, bitIndex2)) | v129(constB116, bitIndex2) | (~v100(constB116)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB116, bitIndex2)) | v129(constB116, bitIndex2) | (~v100(constB116)))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18912,plain,
% 25.19/16.93 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB116, bitIndex2)) | v129(constB116, bitIndex2) | (~v100(constB116)))),
% 25.19/16.93 inference(quant_inst,[status(thm)],[])).
% 25.19/16.93 tff(18913,plain,
% 25.19/16.93 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB116, bitIndex2)) | v129(constB116, bitIndex2) | (~v100(constB116))),
% 25.19/16.93 inference(modus_ponens,[status(thm)],[18912, 18911])).
% 25.19/16.93 tff(18914,plain,
% 25.19/16.93 ((~v90(constB116, bitIndex2)) | (~v100(constB116))),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18913, 1845, 18910])).
% 25.19/16.93 tff(18915,plain,
% 25.19/16.93 (~v90(constB116, bitIndex2)),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18914, 18869])).
% 25.19/16.93 tff(18916,plain,
% 25.19/16.93 ((~v1(constB117)) <=> (~v1(constB117))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18917,axiom,(~v1(constB117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_117_1_1')).
% 25.19/16.93 tff(18918,plain,
% 25.19/16.93 (~v1(constB117)),
% 25.19/16.93 inference(modus_ponens,[status(thm)],[18917, 18916])).
% 25.19/16.93 tff(18919,plain,
% 25.19/16.93 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18920,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_116_1')).
% 25.19/16.93 tff(18921,plain,
% 25.19/16.93 (nextState(constB116, constB117)),
% 25.19/16.93 inference(modus_ponens,[status(thm)],[18920, 18919])).
% 25.19/16.93 tff(18922,plain,
% 25.19/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18923,plain,
% 25.19/16.93 (((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117)) <=> (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18924,plain,
% 25.19/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117))))),
% 25.19/16.93 inference(monotonicity,[status(thm)],[18923])).
% 25.19/16.93 tff(18925,plain,
% 25.19/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 25.19/16.93 inference(transitivity,[status(thm)],[18924, 18922])).
% 25.19/16.93 tff(18926,plain,
% 25.19/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))),
% 25.19/16.93 inference(quant_inst,[status(thm)],[])).
% 25.19/16.93 tff(18927,plain,
% 25.19/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117))),
% 25.19/16.93 inference(modus_ponens,[status(thm)],[18926, 18925])).
% 25.19/16.93 tff(18928,plain,
% 25.19/16.93 (~v101(constB117)),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18927, 860, 18921, 18918])).
% 25.19/16.93 tff(18929,plain,
% 25.19/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18930,plain,
% 25.19/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))),
% 25.19/16.93 inference(quant_inst,[status(thm)],[])).
% 25.19/16.93 tff(18931,plain,
% 25.19/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117))),
% 25.19/16.93 inference(modus_ponens,[status(thm)],[18930, 18929])).
% 25.19/16.93 tff(18932,plain,
% 25.19/16.93 (v101(constB117) | (~v100(constB117))),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18931, 877, 18921])).
% 25.19/16.93 tff(18933,plain,
% 25.19/16.93 (~v100(constB117)),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18932, 18928])).
% 25.19/16.93 tff(18934,plain,
% 25.19/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex2)))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18935,plain,
% 25.19/16.93 (((~nextState(constB116, constB117)) | v90(constB116, bitIndex2) | v100(constB117) | (~v90(constB117, bitIndex2))) <=> (v90(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex2)))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18936,plain,
% 25.19/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex2) | v100(constB117) | (~v90(constB117, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex2))))),
% 25.19/16.93 inference(monotonicity,[status(thm)],[18935])).
% 25.19/16.93 tff(18937,plain,
% 25.19/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex2) | v100(constB117) | (~v90(constB117, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex2)))),
% 25.19/16.93 inference(transitivity,[status(thm)],[18936, 18934])).
% 25.19/16.93 tff(18938,plain,
% 25.19/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex2) | v100(constB117) | (~v90(constB117, bitIndex2)))),
% 25.19/16.93 inference(quant_inst,[status(thm)],[])).
% 25.19/16.93 tff(18939,plain,
% 25.19/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex2))),
% 25.19/16.93 inference(modus_ponens,[status(thm)],[18938, 18937])).
% 25.19/16.93 tff(18940,plain,
% 25.19/16.93 (v90(constB116, bitIndex2) | v100(constB117) | (~v90(constB117, bitIndex2))),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18939, 892, 18921])).
% 25.19/16.93 tff(18941,plain,
% 25.19/16.93 (v90(constB116, bitIndex2) | (~v90(constB117, bitIndex2))),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18940, 18933])).
% 25.19/16.93 tff(18942,plain,
% 25.19/16.93 (~v90(constB117, bitIndex2)),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18941, 18915])).
% 25.19/16.93 tff(18943,plain,
% 25.19/16.93 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex1)))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18944,plain,
% 25.19/16.93 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex1)))),
% 25.19/16.93 inference(quant_inst,[status(thm)],[])).
% 25.19/16.93 tff(18945,plain,
% 25.19/16.93 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex1))),
% 25.19/16.93 inference(modus_ponens,[status(thm)],[18944, 18943])).
% 25.19/16.93 tff(18946,plain,
% 25.19/16.93 (~v130(constB115, bitIndex1)),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18945, 1887, 18893, 18889, 18885, 18881, 18877, 18873])).
% 25.19/16.93 tff(18947,plain,
% 25.19/16.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18948,plain,
% 25.19/16.93 ((v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1))) <=> ((~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18949,plain,
% 25.19/16.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1)))),
% 25.19/16.93 inference(monotonicity,[status(thm)],[18948])).
% 25.19/16.93 tff(18950,plain,
% 25.19/16.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))),
% 25.19/16.93 inference(transitivity,[status(thm)],[18949, 18947])).
% 25.19/16.93 tff(18951,plain,
% 25.19/16.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1)))),
% 25.19/16.93 inference(quant_inst,[status(thm)],[])).
% 25.19/16.93 tff(18952,plain,
% 25.19/16.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1)),
% 25.19/16.93 inference(modus_ponens,[status(thm)],[18951, 18950])).
% 25.19/16.93 tff(18953,plain,
% 25.19/16.93 ((~v127(constB115, bitIndex1)) | v130(constB115, bitIndex1)),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18952, 1270, 18817])).
% 25.19/16.93 tff(18954,plain,
% 25.19/16.93 (~v127(constB115, bitIndex1)),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18953, 18946])).
% 25.19/16.93 tff(18955,plain,
% 25.19/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1)))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18956,plain,
% 25.19/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1)))),
% 25.19/16.93 inference(quant_inst,[status(thm)],[])).
% 25.19/16.93 tff(18957,plain,
% 25.19/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1))),
% 25.19/16.93 inference(modus_ponens,[status(thm)],[18956, 18955])).
% 25.19/16.93 tff(18958,plain,
% 25.19/16.93 (v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1))),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18957, 1288, 18835])).
% 25.19/16.93 tff(18959,plain,
% 25.19/16.93 (~v129(constB116, bitIndex1)),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18958, 18954])).
% 25.19/16.93 tff(18960,plain,
% 25.19/16.93 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18961,plain,
% 25.19/16.93 (((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1)) <=> ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18962,plain,
% 25.19/16.93 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116))))),
% 25.19/16.93 inference(monotonicity,[status(thm)],[18961])).
% 25.19/16.93 tff(18963,plain,
% 25.19/16.93 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))),
% 25.19/16.93 inference(transitivity,[status(thm)],[18962, 18960])).
% 25.19/16.93 tff(18964,plain,
% 25.19/16.93 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1))),
% 25.19/16.93 inference(quant_inst,[status(thm)],[])).
% 25.19/16.93 tff(18965,plain,
% 25.19/16.93 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116))),
% 25.19/16.93 inference(modus_ponens,[status(thm)],[18964, 18963])).
% 25.19/16.93 tff(18966,plain,
% 25.19/16.93 ((~v90(constB116, bitIndex1)) | (~v100(constB116))),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18965, 1303, 18959])).
% 25.19/16.93 tff(18967,plain,
% 25.19/16.93 (~v90(constB116, bitIndex1)),
% 25.19/16.93 inference(unit_resolution,[status(thm)],[18966, 18869])).
% 25.19/16.93 tff(18968,plain,
% 25.19/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18969,plain,
% 25.19/16.93 (((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1))) <=> (v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 25.19/16.93 inference(rewrite,[status(thm)],[])).
% 25.19/16.93 tff(18970,plain,
% 25.19/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1))))),
% 25.19/16.93 inference(monotonicity,[status(thm)],[18969])).
% 25.19/16.93 tff(18971,plain,
% 25.19/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 25.19/16.93 inference(transitivity,[status(thm)],[18970, 18968])).
% 25.19/16.93 tff(18972,plain,
% 25.19/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 25.19/16.94 inference(quant_inst,[status(thm)],[])).
% 25.19/16.94 tff(18973,plain,
% 25.19/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1))),
% 25.19/16.94 inference(modus_ponens,[status(thm)],[18972, 18971])).
% 25.19/16.94 tff(18974,plain,
% 25.19/16.94 (v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1))),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[18973, 913, 18921])).
% 25.19/16.94 tff(18975,plain,
% 25.19/16.94 (v90(constB116, bitIndex1) | (~v90(constB117, bitIndex1))),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[18974, 18933])).
% 25.19/16.94 tff(18976,plain,
% 25.19/16.94 (~v90(constB117, bitIndex1)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[18975, 18967])).
% 25.19/16.94 tff(18977,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | v130(constB115, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | v130(constB115, bitIndex0))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(18978,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | v130(constB115, bitIndex0))),
% 25.19/16.94 inference(quant_inst,[status(thm)],[])).
% 25.19/16.94 tff(18979,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | v130(constB115, bitIndex0)),
% 25.19/16.94 inference(modus_ponens,[status(thm)],[18978, 18977])).
% 25.19/16.94 tff(18980,plain,
% 25.19/16.94 (v130(constB115, bitIndex0)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[18979, 1931, 18893, 18889, 18885, 18881, 18877, 18873])).
% 25.19/16.94 tff(18981,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB115) | (~v130(constB115, bitIndex0)) | v127(constB115, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB115) | (~v130(constB115, bitIndex0)) | v127(constB115, bitIndex0))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(18982,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB115) | (~v130(constB115, bitIndex0)) | v127(constB115, bitIndex0))),
% 25.19/16.94 inference(quant_inst,[status(thm)],[])).
% 25.19/16.94 tff(18983,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB115) | (~v130(constB115, bitIndex0)) | v127(constB115, bitIndex0)),
% 25.19/16.94 inference(modus_ponens,[status(thm)],[18982, 18981])).
% 25.19/16.94 tff(18984,plain,
% 25.19/16.94 ((~v130(constB115, bitIndex0)) | v127(constB115, bitIndex0)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[18983, 1945, 18817])).
% 25.19/16.94 tff(18985,plain,
% 25.19/16.94 (v127(constB115, bitIndex0)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[18984, 18980])).
% 25.19/16.94 tff(18986,plain,
% 25.19/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB115, constB116)) | (~v127(constB115, bitIndex0)) | v129(constB116, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB115, constB116)) | (~v127(constB115, bitIndex0)) | v129(constB116, bitIndex0))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(18987,plain,
% 25.19/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB115, constB116)) | (~v127(constB115, bitIndex0)) | v129(constB116, bitIndex0))),
% 25.19/16.94 inference(quant_inst,[status(thm)],[])).
% 25.19/16.94 tff(18988,plain,
% 25.19/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB115, constB116)) | (~v127(constB115, bitIndex0)) | v129(constB116, bitIndex0)),
% 25.19/16.94 inference(modus_ponens,[status(thm)],[18987, 18986])).
% 25.19/16.94 tff(18989,plain,
% 25.19/16.94 ((~v127(constB115, bitIndex0)) | v129(constB116, bitIndex0)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[18988, 1960, 18835])).
% 25.19/16.94 tff(18990,plain,
% 25.19/16.94 (v129(constB116, bitIndex0)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[18989, 18985])).
% 25.19/16.94 tff(18991,plain,
% 25.19/16.94 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~v129(constB116, bitIndex0)) | (~v100(constB116)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB116, bitIndex0) | (~v129(constB116, bitIndex0)) | (~v100(constB116)))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(18992,plain,
% 25.19/16.94 ((v90(constB116, bitIndex0) | (~v100(constB116)) | (~v129(constB116, bitIndex0))) <=> (v90(constB116, bitIndex0) | (~v129(constB116, bitIndex0)) | (~v100(constB116)))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(18993,plain,
% 25.19/16.94 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~v100(constB116)) | (~v129(constB116, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~v129(constB116, bitIndex0)) | (~v100(constB116))))),
% 25.19/16.94 inference(monotonicity,[status(thm)],[18992])).
% 25.19/16.94 tff(18994,plain,
% 25.19/16.94 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~v100(constB116)) | (~v129(constB116, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB116, bitIndex0) | (~v129(constB116, bitIndex0)) | (~v100(constB116)))),
% 25.19/16.94 inference(transitivity,[status(thm)],[18993, 18991])).
% 25.19/16.94 tff(18995,plain,
% 25.19/16.94 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~v100(constB116)) | (~v129(constB116, bitIndex0)))),
% 25.19/16.94 inference(quant_inst,[status(thm)],[])).
% 25.19/16.94 tff(18996,plain,
% 25.19/16.94 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB116, bitIndex0) | (~v129(constB116, bitIndex0)) | (~v100(constB116))),
% 25.19/16.94 inference(modus_ponens,[status(thm)],[18995, 18994])).
% 25.19/16.94 tff(18997,plain,
% 25.19/16.94 (v90(constB116, bitIndex0) | (~v100(constB116))),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[18996, 1975, 18990])).
% 25.19/16.94 tff(18998,plain,
% 25.19/16.94 (v90(constB116, bitIndex0)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[18997, 18869])).
% 25.19/16.94 tff(18999,plain,
% 25.19/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex0))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19000,plain,
% 25.19/16.94 (((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex0)) | v100(constB117) | v90(constB117, bitIndex0)) <=> ((~v90(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex0))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19001,plain,
% 25.19/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex0)) | v100(constB117) | v90(constB117, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex0)))),
% 25.19/16.94 inference(monotonicity,[status(thm)],[19000])).
% 25.19/16.94 tff(19002,plain,
% 25.19/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex0)) | v100(constB117) | v90(constB117, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex0))),
% 25.19/16.94 inference(transitivity,[status(thm)],[19001, 18999])).
% 25.19/16.94 tff(19003,plain,
% 25.19/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex0)) | v100(constB117) | v90(constB117, bitIndex0))),
% 25.19/16.94 inference(quant_inst,[status(thm)],[])).
% 25.19/16.94 tff(19004,plain,
% 25.19/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex0)),
% 25.19/16.94 inference(modus_ponens,[status(thm)],[19003, 19002])).
% 25.19/16.94 tff(19005,plain,
% 25.19/16.94 ((~v90(constB116, bitIndex0)) | v100(constB117) | v90(constB117, bitIndex0)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19004, 1993, 18921])).
% 25.19/16.94 tff(19006,plain,
% 25.19/16.94 ((~v90(constB116, bitIndex0)) | v90(constB117, bitIndex0)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19005, 18933])).
% 25.19/16.94 tff(19007,plain,
% 25.19/16.94 (v90(constB117, bitIndex0)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19006, 18998])).
% 25.19/16.94 tff(19008,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB117, bitIndex0)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | v120(constB117))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB117, bitIndex0)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | v120(constB117))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19009,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB117, bitIndex0)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | v120(constB117))),
% 25.19/16.94 inference(quant_inst,[status(thm)],[])).
% 25.19/16.94 tff(19010,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB117, bitIndex0)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | v120(constB117)),
% 25.19/16.94 inference(modus_ponens,[status(thm)],[19009, 19008])).
% 25.19/16.94 tff(19011,plain,
% 25.19/16.94 (v120(constB117)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19010, 2012, 19007, 18976, 18942])).
% 25.19/16.94 tff(19012,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB117) | (~v120(constB117)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB117) | (~v120(constB117)))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19013,plain,
% 25.19/16.94 (((~v120(constB117)) | v118(constB117)) <=> (v118(constB117) | (~v120(constB117)))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19014,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB117)) | v118(constB117))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB117) | (~v120(constB117))))),
% 25.19/16.94 inference(monotonicity,[status(thm)],[19013])).
% 25.19/16.94 tff(19015,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB117)) | v118(constB117))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB117) | (~v120(constB117)))),
% 25.19/16.94 inference(transitivity,[status(thm)],[19014, 19012])).
% 25.19/16.94 tff(19016,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB117)) | v118(constB117))),
% 25.19/16.94 inference(quant_inst,[status(thm)],[])).
% 25.19/16.94 tff(19017,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB117) | (~v120(constB117))),
% 25.19/16.94 inference(modus_ponens,[status(thm)],[19016, 19015])).
% 25.19/16.94 tff(19018,plain,
% 25.19/16.94 (v118(constB117)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19017, 2210, 19011])).
% 25.19/16.94 tff(19019,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB117) | (~v118(constB117)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB117) | (~v118(constB117)))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19020,plain,
% 25.19/16.94 (((~v118(constB117)) | v117(constB117)) <=> (v117(constB117) | (~v118(constB117)))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19021,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB117)) | v117(constB117))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB117) | (~v118(constB117))))),
% 25.19/16.94 inference(monotonicity,[status(thm)],[19020])).
% 25.19/16.94 tff(19022,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB117)) | v117(constB117))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB117) | (~v118(constB117)))),
% 25.19/16.94 inference(transitivity,[status(thm)],[19021, 19019])).
% 25.19/16.94 tff(19023,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB117)) | v117(constB117))),
% 25.19/16.94 inference(quant_inst,[status(thm)],[])).
% 25.19/16.94 tff(19024,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB117) | (~v118(constB117))),
% 25.19/16.94 inference(modus_ponens,[status(thm)],[19023, 19022])).
% 25.19/16.94 tff(19025,plain,
% 25.19/16.94 (v117(constB117)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19024, 980, 19018])).
% 25.19/16.94 tff(19026,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB117)) | v116(constB117))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB117)) | v116(constB117))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19027,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB117)) | v116(constB117))),
% 25.19/16.94 inference(quant_inst,[status(thm)],[])).
% 25.19/16.94 tff(19028,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB117)) | v116(constB117)),
% 25.19/16.94 inference(modus_ponens,[status(thm)],[19027, 19026])).
% 25.19/16.94 tff(19029,plain,
% 25.19/16.94 (v116(constB117)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19028, 994, 19025])).
% 25.19/16.94 tff(19030,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB117) | (~v116(constB117)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB117) | (~v116(constB117)))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19031,plain,
% 25.19/16.94 (((~v116(constB117)) | v115(constB117)) <=> (v115(constB117) | (~v116(constB117)))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19032,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB117)) | v115(constB117))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB117) | (~v116(constB117))))),
% 25.19/16.94 inference(monotonicity,[status(thm)],[19031])).
% 25.19/16.94 tff(19033,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB117)) | v115(constB117))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB117) | (~v116(constB117)))),
% 25.19/16.94 inference(transitivity,[status(thm)],[19032, 19030])).
% 25.19/16.94 tff(19034,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB117)) | v115(constB117))),
% 25.19/16.94 inference(quant_inst,[status(thm)],[])).
% 25.19/16.94 tff(19035,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB117) | (~v116(constB117))),
% 25.19/16.94 inference(modus_ponens,[status(thm)],[19034, 19033])).
% 25.19/16.94 tff(19036,plain,
% 25.19/16.94 (v115(constB117)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19035, 1008, 19029])).
% 25.19/16.94 tff(19037,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB117)) | v114(constB117))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB117)) | v114(constB117))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19038,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB117)) | v114(constB117))),
% 25.19/16.94 inference(quant_inst,[status(thm)],[])).
% 25.19/16.94 tff(19039,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB117)) | v114(constB117)),
% 25.19/16.94 inference(modus_ponens,[status(thm)],[19038, 19037])).
% 25.19/16.94 tff(19040,plain,
% 25.19/16.94 (v114(constB117)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19039, 1022, 19036])).
% 25.19/16.94 tff(19041,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB117) | (~v114(constB117)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB117) | (~v114(constB117)))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19042,plain,
% 25.19/16.94 (((~v114(constB117)) | v113(constB117)) <=> (v113(constB117) | (~v114(constB117)))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19043,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB117)) | v113(constB117))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB117) | (~v114(constB117))))),
% 25.19/16.94 inference(monotonicity,[status(thm)],[19042])).
% 25.19/16.94 tff(19044,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB117)) | v113(constB117))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB117) | (~v114(constB117)))),
% 25.19/16.94 inference(transitivity,[status(thm)],[19043, 19041])).
% 25.19/16.94 tff(19045,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB117)) | v113(constB117))),
% 25.19/16.94 inference(quant_inst,[status(thm)],[])).
% 25.19/16.94 tff(19046,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB117) | (~v114(constB117))),
% 25.19/16.94 inference(modus_ponens,[status(thm)],[19045, 19044])).
% 25.19/16.94 tff(19047,plain,
% 25.19/16.94 (v113(constB117)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19046, 1036, 19040])).
% 25.19/16.94 tff(19048,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | v112(constB117) | (~v113(constB117)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | v112(constB117) | (~v113(constB117)))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19049,plain,
% 25.19/16.94 ((v26(constB117) | (~v113(constB117)) | v112(constB117)) <=> (v26(constB117) | v112(constB117) | (~v113(constB117)))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19050,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | v112(constB117) | (~v113(constB117))))),
% 25.19/16.94 inference(monotonicity,[status(thm)],[19049])).
% 25.19/16.94 tff(19051,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | v112(constB117) | (~v113(constB117)))),
% 25.19/16.94 inference(transitivity,[status(thm)],[19050, 19048])).
% 25.19/16.94 tff(19052,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))),
% 25.19/16.94 inference(quant_inst,[status(thm)],[])).
% 25.19/16.94 tff(19053,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | v112(constB117) | (~v113(constB117))),
% 25.19/16.94 inference(modus_ponens,[status(thm)],[19052, 19051])).
% 25.19/16.94 tff(19054,plain,
% 25.19/16.94 (v26(constB117) | v112(constB117)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19053, 1050, 19047])).
% 25.19/16.94 tff(19055,plain,
% 25.19/16.94 (v112(constB117)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19054, 808])).
% 25.19/16.94 tff(19056,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB117) | (~v112(constB117)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB117) | (~v112(constB117)))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19057,plain,
% 25.19/16.94 (((~v112(constB117)) | v108(constB117)) <=> (v108(constB117) | (~v112(constB117)))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19058,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB117)) | v108(constB117))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB117) | (~v112(constB117))))),
% 25.19/16.94 inference(monotonicity,[status(thm)],[19057])).
% 25.19/16.94 tff(19059,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB117)) | v108(constB117))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB117) | (~v112(constB117)))),
% 25.19/16.94 inference(transitivity,[status(thm)],[19058, 19056])).
% 25.19/16.94 tff(19060,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB117)) | v108(constB117))),
% 25.19/16.94 inference(quant_inst,[status(thm)],[])).
% 25.19/16.94 tff(19061,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB117) | (~v112(constB117))),
% 25.19/16.94 inference(modus_ponens,[status(thm)],[19060, 19059])).
% 25.19/16.94 tff(19062,plain,
% 25.19/16.94 (v108(constB117)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19061, 1062, 19055])).
% 25.19/16.94 tff(19063,plain,
% 25.19/16.94 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19064,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_117_1')).
% 25.19/16.94 tff(19065,plain,
% 25.19/16.94 (nextState(constB117, constB118)),
% 25.19/16.94 inference(modus_ponens,[status(thm)],[19064, 19063])).
% 25.19/16.94 tff(19066,plain,
% 25.19/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19067,plain,
% 25.19/16.94 (((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118)) <=> ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19068,plain,
% 25.19/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117))))),
% 25.19/16.94 inference(monotonicity,[status(thm)],[19067])).
% 25.19/16.94 tff(19069,plain,
% 25.19/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 25.19/16.94 inference(transitivity,[status(thm)],[19068, 19066])).
% 25.19/16.94 tff(19070,plain,
% 25.19/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))),
% 25.19/16.94 inference(quant_inst,[status(thm)],[])).
% 25.19/16.94 tff(19071,plain,
% 25.19/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117))),
% 25.19/16.94 inference(modus_ponens,[status(thm)],[19070, 19069])).
% 25.19/16.94 tff(19072,plain,
% 25.19/16.94 (v110(constB118) | (~v108(constB117))),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19071, 1082, 19065])).
% 25.19/16.94 tff(19073,plain,
% 25.19/16.94 (v110(constB118)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19072, 19062])).
% 25.19/16.94 tff(19074,plain,
% 25.19/16.94 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19075,plain,
% 25.19/16.94 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))),
% 25.19/16.94 inference(quant_inst,[status(thm)],[])).
% 25.19/16.94 tff(19076,plain,
% 25.19/16.94 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118))),
% 25.19/16.94 inference(modus_ponens,[status(thm)],[19075, 19074])).
% 25.19/16.94 tff(19077,plain,
% 25.19/16.94 (~v104(constB118)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19076, 1100, 19065, 18918])).
% 25.19/16.94 tff(19078,plain,
% 25.19/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19079,plain,
% 25.19/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))),
% 25.19/16.94 inference(quant_inst,[status(thm)],[])).
% 25.19/16.94 tff(19080,plain,
% 25.19/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v102(constB118) | v104(constB118)),
% 25.19/16.94 inference(modus_ponens,[status(thm)],[19079, 19078])).
% 25.19/16.94 tff(19081,plain,
% 25.19/16.94 (v102(constB118) | v104(constB118)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19080, 1114, 19065])).
% 25.19/16.94 tff(19082,plain,
% 25.19/16.94 (v102(constB118)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19081, 19077])).
% 25.19/16.94 tff(19083,plain,
% 25.19/16.94 (v1(constB118) <=> v1(constB118)),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19084,axiom,(v1(constB118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_118_1')).
% 25.19/16.94 tff(19085,plain,
% 25.19/16.94 (v1(constB118)),
% 25.19/16.94 inference(modus_ponens,[status(thm)],[19084, 19083])).
% 25.19/16.94 tff(19086,plain,
% 25.19/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19087,plain,
% 25.19/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))),
% 25.19/16.94 inference(quant_inst,[status(thm)],[])).
% 25.19/16.94 tff(19088,plain,
% 25.19/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118))),
% 25.19/16.94 inference(modus_ponens,[status(thm)],[19087, 19086])).
% 25.19/16.94 tff(19089,plain,
% 25.19/16.94 (v101(constB118) | (~v102(constB118))),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19088, 1129, 19065, 19085])).
% 25.19/16.94 tff(19090,plain,
% 25.19/16.94 (v101(constB118)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19089, 19082])).
% 25.19/16.94 tff(19091,plain,
% 25.19/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19092,plain,
% 25.19/16.94 (((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118)) <=> ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19093,plain,
% 25.19/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118))))),
% 25.19/16.94 inference(monotonicity,[status(thm)],[19092])).
% 25.19/16.94 tff(19094,plain,
% 25.19/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 25.19/16.94 inference(transitivity,[status(thm)],[19093, 19091])).
% 25.19/16.94 tff(19095,plain,
% 25.19/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))),
% 25.19/16.94 inference(quant_inst,[status(thm)],[])).
% 25.19/16.94 tff(19096,plain,
% 25.19/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 25.19/16.94 inference(modus_ponens,[status(thm)],[19095, 19094])).
% 25.19/16.94 tff(19097,plain,
% 25.19/16.94 (v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19096, 1144, 19065])).
% 25.19/16.94 tff(19098,plain,
% 25.19/16.94 (v100(constB118) | (~v110(constB118))),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19097, 19090])).
% 25.19/16.94 tff(19099,plain,
% 25.19/16.94 (v100(constB118)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19098, 19073])).
% 25.19/16.94 tff(19100,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB117)) | (~v130(constB117, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB117)) | (~v130(constB117, bitIndex2)))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19101,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB117)) | (~v130(constB117, bitIndex2)))),
% 25.19/16.94 inference(quant_inst,[status(thm)],[])).
% 25.19/16.94 tff(19102,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB117)) | (~v130(constB117, bitIndex2))),
% 25.19/16.94 inference(modus_ponens,[status(thm)],[19101, 19100])).
% 25.19/16.94 tff(19103,plain,
% 25.19/16.94 (~v130(constB117, bitIndex2)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19102, 2231, 19011])).
% 25.19/16.94 tff(19104,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB117, bitIndex2)) | v26(constB117) | v130(constB117, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB117, bitIndex2)) | v26(constB117) | v130(constB117, bitIndex2))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19105,plain,
% 25.19/16.94 ((v26(constB117) | v130(constB117, bitIndex2) | (~v127(constB117, bitIndex2))) <=> ((~v127(constB117, bitIndex2)) | v26(constB117) | v130(constB117, bitIndex2))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19106,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB117) | v130(constB117, bitIndex2) | (~v127(constB117, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB117, bitIndex2)) | v26(constB117) | v130(constB117, bitIndex2)))),
% 25.19/16.94 inference(monotonicity,[status(thm)],[19105])).
% 25.19/16.94 tff(19107,plain,
% 25.19/16.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB117) | v130(constB117, bitIndex2) | (~v127(constB117, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB117, bitIndex2)) | v26(constB117) | v130(constB117, bitIndex2))),
% 25.19/16.94 inference(transitivity,[status(thm)],[19106, 19104])).
% 25.19/16.94 tff(19108,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB117) | v130(constB117, bitIndex2) | (~v127(constB117, bitIndex2)))),
% 25.19/16.94 inference(quant_inst,[status(thm)],[])).
% 25.19/16.94 tff(19109,plain,
% 25.19/16.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB117, bitIndex2)) | v26(constB117) | v130(constB117, bitIndex2)),
% 25.19/16.94 inference(modus_ponens,[status(thm)],[19108, 19107])).
% 25.19/16.94 tff(19110,plain,
% 25.19/16.94 ((~v127(constB117, bitIndex2)) | v26(constB117)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19109, 1812, 19103])).
% 25.19/16.94 tff(19111,plain,
% 25.19/16.94 (~v127(constB117, bitIndex2)),
% 25.19/16.94 inference(unit_resolution,[status(thm)],[19110, 808])).
% 25.19/16.94 tff(19112,plain,
% 25.19/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB117, constB118)) | v127(constB117, bitIndex2) | (~v129(constB118, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB117, constB118)) | v127(constB117, bitIndex2) | (~v129(constB118, bitIndex2)))),
% 25.19/16.94 inference(rewrite,[status(thm)],[])).
% 25.19/16.94 tff(19113,plain,
% 25.19/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB117, constB118)) | v127(constB117, bitIndex2) | (~v129(constB118, bitIndex2)))),
% 25.19/16.94 inference(quant_inst,[status(thm)],[])).
% 25.19/16.94 tff(19114,plain,
% 25.19/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB117, constB118)) | v127(constB117, bitIndex2) | (~v129(constB118, bitIndex2))),
% 25.19/16.95 inference(modus_ponens,[status(thm)],[19113, 19112])).
% 25.19/16.95 tff(19115,plain,
% 25.19/16.95 (v127(constB117, bitIndex2) | (~v129(constB118, bitIndex2))),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19114, 1830, 19065])).
% 25.19/16.95 tff(19116,plain,
% 25.19/16.95 (~v129(constB118, bitIndex2)),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19115, 19111])).
% 25.19/16.95 tff(19117,plain,
% 25.19/16.95 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB118, bitIndex2)) | v129(constB118, bitIndex2) | (~v100(constB118)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB118, bitIndex2)) | v129(constB118, bitIndex2) | (~v100(constB118)))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19118,plain,
% 25.19/16.95 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB118, bitIndex2)) | v129(constB118, bitIndex2) | (~v100(constB118)))),
% 25.19/16.95 inference(quant_inst,[status(thm)],[])).
% 25.19/16.95 tff(19119,plain,
% 25.19/16.95 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB118, bitIndex2)) | v129(constB118, bitIndex2) | (~v100(constB118))),
% 25.19/16.95 inference(modus_ponens,[status(thm)],[19118, 19117])).
% 25.19/16.95 tff(19120,plain,
% 25.19/16.95 ((~v90(constB118, bitIndex2)) | (~v100(constB118))),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19119, 1845, 19116])).
% 25.19/16.95 tff(19121,plain,
% 25.19/16.95 (~v90(constB118, bitIndex2)),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19120, 19099])).
% 25.19/16.95 tff(19122,plain,
% 25.19/16.95 ((~v1(constB119)) <=> (~v1(constB119))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19123,axiom,(~v1(constB119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_119_1_1')).
% 25.19/16.95 tff(19124,plain,
% 25.19/16.95 (~v1(constB119)),
% 25.19/16.95 inference(modus_ponens,[status(thm)],[19123, 19122])).
% 25.19/16.95 tff(19125,plain,
% 25.19/16.95 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19126,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_118_1')).
% 25.19/16.95 tff(19127,plain,
% 25.19/16.95 (nextState(constB118, constB119)),
% 25.19/16.95 inference(modus_ponens,[status(thm)],[19126, 19125])).
% 25.19/16.95 tff(19128,plain,
% 25.19/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19129,plain,
% 25.19/16.95 (((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119)) <=> (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19130,plain,
% 25.19/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119))))),
% 25.19/16.95 inference(monotonicity,[status(thm)],[19129])).
% 25.19/16.95 tff(19131,plain,
% 25.19/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 25.19/16.95 inference(transitivity,[status(thm)],[19130, 19128])).
% 25.19/16.95 tff(19132,plain,
% 25.19/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))),
% 25.19/16.95 inference(quant_inst,[status(thm)],[])).
% 25.19/16.95 tff(19133,plain,
% 25.19/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119))),
% 25.19/16.95 inference(modus_ponens,[status(thm)],[19132, 19131])).
% 25.19/16.95 tff(19134,plain,
% 25.19/16.95 (~v101(constB119)),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19133, 860, 19127, 19124])).
% 25.19/16.95 tff(19135,plain,
% 25.19/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19136,plain,
% 25.19/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))),
% 25.19/16.95 inference(quant_inst,[status(thm)],[])).
% 25.19/16.95 tff(19137,plain,
% 25.19/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119))),
% 25.19/16.95 inference(modus_ponens,[status(thm)],[19136, 19135])).
% 25.19/16.95 tff(19138,plain,
% 25.19/16.95 (v101(constB119) | (~v100(constB119))),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19137, 877, 19127])).
% 25.19/16.95 tff(19139,plain,
% 25.19/16.95 (~v100(constB119)),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19138, 19134])).
% 25.19/16.95 tff(19140,plain,
% 25.19/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex2)))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19141,plain,
% 25.19/16.95 (((~nextState(constB118, constB119)) | v90(constB118, bitIndex2) | v100(constB119) | (~v90(constB119, bitIndex2))) <=> (v90(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex2)))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19142,plain,
% 25.19/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex2) | v100(constB119) | (~v90(constB119, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex2))))),
% 25.19/16.95 inference(monotonicity,[status(thm)],[19141])).
% 25.19/16.95 tff(19143,plain,
% 25.19/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex2) | v100(constB119) | (~v90(constB119, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex2)))),
% 25.19/16.95 inference(transitivity,[status(thm)],[19142, 19140])).
% 25.19/16.95 tff(19144,plain,
% 25.19/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex2) | v100(constB119) | (~v90(constB119, bitIndex2)))),
% 25.19/16.95 inference(quant_inst,[status(thm)],[])).
% 25.19/16.95 tff(19145,plain,
% 25.19/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex2))),
% 25.19/16.95 inference(modus_ponens,[status(thm)],[19144, 19143])).
% 25.19/16.95 tff(19146,plain,
% 25.19/16.95 (v90(constB118, bitIndex2) | v100(constB119) | (~v90(constB119, bitIndex2))),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19145, 892, 19127])).
% 25.19/16.95 tff(19147,plain,
% 25.19/16.95 (v90(constB118, bitIndex2) | (~v90(constB119, bitIndex2))),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19146, 19139])).
% 25.19/16.95 tff(19148,plain,
% 25.19/16.95 (~v90(constB119, bitIndex2)),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19147, 19121])).
% 25.19/16.95 tff(19149,plain,
% 25.19/16.95 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB117)) | v130(constB117, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB117)) | v130(constB117, bitIndex1))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19150,plain,
% 25.19/16.95 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB117)) | v130(constB117, bitIndex1))),
% 25.19/16.95 inference(quant_inst,[status(thm)],[])).
% 25.19/16.95 tff(19151,plain,
% 25.19/16.95 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB117)) | v130(constB117, bitIndex1)),
% 25.19/16.95 inference(modus_ponens,[status(thm)],[19150, 19149])).
% 25.19/16.95 tff(19152,plain,
% 25.19/16.95 (v130(constB117, bitIndex1)),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19151, 2034, 19011])).
% 25.19/16.95 tff(19153,plain,
% 25.19/16.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB117) | (~v130(constB117, bitIndex1)) | v127(constB117, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB117) | (~v130(constB117, bitIndex1)) | v127(constB117, bitIndex1))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19154,plain,
% 25.19/16.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB117) | (~v130(constB117, bitIndex1)) | v127(constB117, bitIndex1))),
% 25.19/16.95 inference(quant_inst,[status(thm)],[])).
% 25.19/16.95 tff(19155,plain,
% 25.19/16.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB117) | (~v130(constB117, bitIndex1)) | v127(constB117, bitIndex1)),
% 25.19/16.95 inference(modus_ponens,[status(thm)],[19154, 19153])).
% 25.19/16.95 tff(19156,plain,
% 25.19/16.95 (v26(constB117) | v127(constB117, bitIndex1)),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19155, 1553, 19152])).
% 25.19/16.95 tff(19157,plain,
% 25.19/16.95 (v127(constB117, bitIndex1)),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19156, 808])).
% 25.19/16.95 tff(19158,plain,
% 25.19/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex1)) | v129(constB118, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex1)) | v129(constB118, bitIndex1))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19159,plain,
% 25.19/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex1)) | v129(constB118, bitIndex1))),
% 25.19/16.95 inference(quant_inst,[status(thm)],[])).
% 25.19/16.95 tff(19160,plain,
% 25.19/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex1)) | v129(constB118, bitIndex1)),
% 25.19/16.95 inference(modus_ponens,[status(thm)],[19159, 19158])).
% 25.19/16.95 tff(19161,plain,
% 25.19/16.95 ((~v127(constB117, bitIndex1)) | v129(constB118, bitIndex1)),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19160, 1568, 19065])).
% 25.19/16.95 tff(19162,plain,
% 25.19/16.95 (v129(constB118, bitIndex1)),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19161, 19157])).
% 25.19/16.95 tff(19163,plain,
% 25.19/16.95 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~v129(constB118, bitIndex1)) | (~v100(constB118)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB118, bitIndex1) | (~v129(constB118, bitIndex1)) | (~v100(constB118)))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19164,plain,
% 25.19/16.95 ((v90(constB118, bitIndex1) | (~v100(constB118)) | (~v129(constB118, bitIndex1))) <=> (v90(constB118, bitIndex1) | (~v129(constB118, bitIndex1)) | (~v100(constB118)))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19165,plain,
% 25.19/16.95 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~v100(constB118)) | (~v129(constB118, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~v129(constB118, bitIndex1)) | (~v100(constB118))))),
% 25.19/16.95 inference(monotonicity,[status(thm)],[19164])).
% 25.19/16.95 tff(19166,plain,
% 25.19/16.95 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~v100(constB118)) | (~v129(constB118, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB118, bitIndex1) | (~v129(constB118, bitIndex1)) | (~v100(constB118)))),
% 25.19/16.95 inference(transitivity,[status(thm)],[19165, 19163])).
% 25.19/16.95 tff(19167,plain,
% 25.19/16.95 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~v100(constB118)) | (~v129(constB118, bitIndex1)))),
% 25.19/16.95 inference(quant_inst,[status(thm)],[])).
% 25.19/16.95 tff(19168,plain,
% 25.19/16.95 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB118, bitIndex1) | (~v129(constB118, bitIndex1)) | (~v100(constB118))),
% 25.19/16.95 inference(modus_ponens,[status(thm)],[19167, 19166])).
% 25.19/16.95 tff(19169,plain,
% 25.19/16.95 (v90(constB118, bitIndex1) | (~v100(constB118))),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19168, 1583, 19162])).
% 25.19/16.95 tff(19170,plain,
% 25.19/16.95 (v90(constB118, bitIndex1)),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19169, 19099])).
% 25.19/16.95 tff(19171,plain,
% 25.19/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex1))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19172,plain,
% 25.19/16.95 (((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex1)) | v100(constB119) | v90(constB119, bitIndex1)) <=> ((~v90(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex1))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19173,plain,
% 25.19/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex1)) | v100(constB119) | v90(constB119, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex1)))),
% 25.19/16.95 inference(monotonicity,[status(thm)],[19172])).
% 25.19/16.95 tff(19174,plain,
% 25.19/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex1)) | v100(constB119) | v90(constB119, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex1))),
% 25.19/16.95 inference(transitivity,[status(thm)],[19173, 19171])).
% 25.19/16.95 tff(19175,plain,
% 25.19/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex1)) | v100(constB119) | v90(constB119, bitIndex1))),
% 25.19/16.95 inference(quant_inst,[status(thm)],[])).
% 25.19/16.95 tff(19176,plain,
% 25.19/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex1)),
% 25.19/16.95 inference(modus_ponens,[status(thm)],[19175, 19174])).
% 25.19/16.95 tff(19177,plain,
% 25.19/16.95 ((~v90(constB118, bitIndex1)) | v100(constB119) | v90(constB119, bitIndex1)),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19176, 1601, 19127])).
% 25.19/16.95 tff(19178,plain,
% 25.19/16.95 ((~v90(constB118, bitIndex1)) | v90(constB119, bitIndex1)),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19177, 19139])).
% 25.19/16.95 tff(19179,plain,
% 25.19/16.95 (v90(constB119, bitIndex1)),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19178, 19170])).
% 25.19/16.95 tff(19180,plain,
% 25.19/16.95 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB117)) | (~v130(constB117, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB117)) | (~v130(constB117, bitIndex0)))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19181,plain,
% 25.19/16.95 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB117)) | (~v130(constB117, bitIndex0)))),
% 25.19/16.95 inference(quant_inst,[status(thm)],[])).
% 25.19/16.95 tff(19182,plain,
% 25.19/16.95 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB117)) | (~v130(constB117, bitIndex0))),
% 25.19/16.95 inference(modus_ponens,[status(thm)],[19181, 19180])).
% 25.19/16.95 tff(19183,plain,
% 25.19/16.95 (~v130(constB117, bitIndex0)),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19182, 2023, 19011])).
% 25.19/16.95 tff(19184,plain,
% 25.19/16.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB117, bitIndex0)) | v26(constB117) | v130(constB117, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB117, bitIndex0)) | v26(constB117) | v130(constB117, bitIndex0))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19185,plain,
% 25.19/16.95 ((v26(constB117) | v130(constB117, bitIndex0) | (~v127(constB117, bitIndex0))) <=> ((~v127(constB117, bitIndex0)) | v26(constB117) | v130(constB117, bitIndex0))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19186,plain,
% 25.19/16.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB117) | v130(constB117, bitIndex0) | (~v127(constB117, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB117, bitIndex0)) | v26(constB117) | v130(constB117, bitIndex0)))),
% 25.19/16.95 inference(monotonicity,[status(thm)],[19185])).
% 25.19/16.95 tff(19187,plain,
% 25.19/16.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB117) | v130(constB117, bitIndex0) | (~v127(constB117, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB117, bitIndex0)) | v26(constB117) | v130(constB117, bitIndex0))),
% 25.19/16.95 inference(transitivity,[status(thm)],[19186, 19184])).
% 25.19/16.95 tff(19188,plain,
% 25.19/16.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB117) | v130(constB117, bitIndex0) | (~v127(constB117, bitIndex0)))),
% 25.19/16.95 inference(quant_inst,[status(thm)],[])).
% 25.19/16.95 tff(19189,plain,
% 25.19/16.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB117, bitIndex0)) | v26(constB117) | v130(constB117, bitIndex0)),
% 25.19/16.95 inference(modus_ponens,[status(thm)],[19188, 19187])).
% 25.19/16.95 tff(19190,plain,
% 25.19/16.95 ((~v127(constB117, bitIndex0)) | v26(constB117)),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19189, 1341, 19183])).
% 25.19/16.95 tff(19191,plain,
% 25.19/16.95 (~v127(constB117, bitIndex0)),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19190, 808])).
% 25.19/16.95 tff(19192,plain,
% 25.19/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB117, constB118)) | v127(constB117, bitIndex0) | (~v129(constB118, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB117, constB118)) | v127(constB117, bitIndex0) | (~v129(constB118, bitIndex0)))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19193,plain,
% 25.19/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB117, constB118)) | v127(constB117, bitIndex0) | (~v129(constB118, bitIndex0)))),
% 25.19/16.95 inference(quant_inst,[status(thm)],[])).
% 25.19/16.95 tff(19194,plain,
% 25.19/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB117, constB118)) | v127(constB117, bitIndex0) | (~v129(constB118, bitIndex0))),
% 25.19/16.95 inference(modus_ponens,[status(thm)],[19193, 19192])).
% 25.19/16.95 tff(19195,plain,
% 25.19/16.95 (v127(constB117, bitIndex0) | (~v129(constB118, bitIndex0))),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19194, 1359, 19065])).
% 25.19/16.95 tff(19196,plain,
% 25.19/16.95 (~v129(constB118, bitIndex0)),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19195, 19191])).
% 25.19/16.95 tff(19197,plain,
% 25.19/16.95 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB118, bitIndex0)) | v129(constB118, bitIndex0) | (~v100(constB118)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB118, bitIndex0)) | v129(constB118, bitIndex0) | (~v100(constB118)))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19198,plain,
% 25.19/16.95 (((~v90(constB118, bitIndex0)) | (~v100(constB118)) | v129(constB118, bitIndex0)) <=> ((~v90(constB118, bitIndex0)) | v129(constB118, bitIndex0) | (~v100(constB118)))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19199,plain,
% 25.19/16.95 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB118, bitIndex0)) | (~v100(constB118)) | v129(constB118, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB118, bitIndex0)) | v129(constB118, bitIndex0) | (~v100(constB118))))),
% 25.19/16.95 inference(monotonicity,[status(thm)],[19198])).
% 25.19/16.95 tff(19200,plain,
% 25.19/16.95 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB118, bitIndex0)) | (~v100(constB118)) | v129(constB118, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB118, bitIndex0)) | v129(constB118, bitIndex0) | (~v100(constB118)))),
% 25.19/16.95 inference(transitivity,[status(thm)],[19199, 19197])).
% 25.19/16.95 tff(19201,plain,
% 25.19/16.95 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB118, bitIndex0)) | (~v100(constB118)) | v129(constB118, bitIndex0))),
% 25.19/16.95 inference(quant_inst,[status(thm)],[])).
% 25.19/16.95 tff(19202,plain,
% 25.19/16.95 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB118, bitIndex0)) | v129(constB118, bitIndex0) | (~v100(constB118))),
% 25.19/16.95 inference(modus_ponens,[status(thm)],[19201, 19200])).
% 25.19/16.95 tff(19203,plain,
% 25.19/16.95 ((~v90(constB118, bitIndex0)) | (~v100(constB118))),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19202, 1374, 19196])).
% 25.19/16.95 tff(19204,plain,
% 25.19/16.95 (~v90(constB118, bitIndex0)),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19203, 19099])).
% 25.19/16.95 tff(19205,plain,
% 25.19/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex0)))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19206,plain,
% 25.19/16.95 (((~nextState(constB118, constB119)) | v90(constB118, bitIndex0) | v100(constB119) | (~v90(constB119, bitIndex0))) <=> (v90(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex0)))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19207,plain,
% 25.19/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex0) | v100(constB119) | (~v90(constB119, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex0))))),
% 25.19/16.95 inference(monotonicity,[status(thm)],[19206])).
% 25.19/16.95 tff(19208,plain,
% 25.19/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex0) | v100(constB119) | (~v90(constB119, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex0)))),
% 25.19/16.95 inference(transitivity,[status(thm)],[19207, 19205])).
% 25.19/16.95 tff(19209,plain,
% 25.19/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex0) | v100(constB119) | (~v90(constB119, bitIndex0)))),
% 25.19/16.95 inference(quant_inst,[status(thm)],[])).
% 25.19/16.95 tff(19210,plain,
% 25.19/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex0))),
% 25.19/16.95 inference(modus_ponens,[status(thm)],[19209, 19208])).
% 25.19/16.95 tff(19211,plain,
% 25.19/16.95 (v90(constB118, bitIndex0) | v100(constB119) | (~v90(constB119, bitIndex0))),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19210, 934, 19127])).
% 25.19/16.95 tff(19212,plain,
% 25.19/16.95 (v90(constB118, bitIndex0) | (~v90(constB119, bitIndex0))),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19211, 19139])).
% 25.19/16.95 tff(19213,plain,
% 25.19/16.95 (~v90(constB119, bitIndex0)),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19212, 19204])).
% 25.19/16.95 tff(19214,plain,
% 25.19/16.95 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex2) | v121(constB119))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex2) | v121(constB119))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19215,plain,
% 25.19/16.95 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex2) | v121(constB119))),
% 25.19/16.95 inference(quant_inst,[status(thm)],[])).
% 25.19/16.95 tff(19216,plain,
% 25.19/16.95 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex2) | v121(constB119)),
% 25.19/16.95 inference(modus_ponens,[status(thm)],[19215, 19214])).
% 25.19/16.95 tff(19217,plain,
% 25.19/16.95 (v121(constB119)),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19216, 2145, 19213, 19179, 19148])).
% 25.19/16.95 tff(19218,plain,
% 25.19/16.95 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB119)) | v117(constB119))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB119)) | v117(constB119))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19219,plain,
% 25.19/16.95 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB119)) | v117(constB119))),
% 25.19/16.95 inference(quant_inst,[status(thm)],[])).
% 25.19/16.95 tff(19220,plain,
% 25.19/16.95 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB119)) | v117(constB119)),
% 25.19/16.95 inference(modus_ponens,[status(thm)],[19219, 19218])).
% 25.19/16.95 tff(19221,plain,
% 25.19/16.95 (v117(constB119)),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19220, 2102, 19217])).
% 25.19/16.95 tff(19222,plain,
% 25.19/16.95 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB119) | (~v117(constB119)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB119) | (~v117(constB119)))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19223,plain,
% 25.19/16.95 (((~v117(constB119)) | v116(constB119)) <=> (v116(constB119) | (~v117(constB119)))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19224,plain,
% 25.19/16.95 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB119)) | v116(constB119))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB119) | (~v117(constB119))))),
% 25.19/16.95 inference(monotonicity,[status(thm)],[19223])).
% 25.19/16.95 tff(19225,plain,
% 25.19/16.95 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB119)) | v116(constB119))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB119) | (~v117(constB119)))),
% 25.19/16.95 inference(transitivity,[status(thm)],[19224, 19222])).
% 25.19/16.95 tff(19226,plain,
% 25.19/16.95 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB119)) | v116(constB119))),
% 25.19/16.95 inference(quant_inst,[status(thm)],[])).
% 25.19/16.95 tff(19227,plain,
% 25.19/16.95 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB119) | (~v117(constB119))),
% 25.19/16.95 inference(modus_ponens,[status(thm)],[19226, 19225])).
% 25.19/16.95 tff(19228,plain,
% 25.19/16.95 (v116(constB119)),
% 25.19/16.95 inference(unit_resolution,[status(thm)],[19227, 994, 19221])).
% 25.19/16.95 tff(19229,plain,
% 25.19/16.95 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB119) | (~v116(constB119)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB119) | (~v116(constB119)))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19230,plain,
% 25.19/16.95 (((~v116(constB119)) | v115(constB119)) <=> (v115(constB119) | (~v116(constB119)))),
% 25.19/16.95 inference(rewrite,[status(thm)],[])).
% 25.19/16.95 tff(19231,plain,
% 25.19/16.95 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB119)) | v115(constB119))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB119) | (~v116(constB119))))),
% 25.19/16.95 inference(monotonicity,[status(thm)],[19230])).
% 25.19/16.95 tff(19232,plain,
% 25.19/16.95 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB119)) | v115(constB119))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB119) | (~v116(constB119)))),
% 25.19/16.96 inference(transitivity,[status(thm)],[19231, 19229])).
% 25.19/16.96 tff(19233,plain,
% 25.19/16.96 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB119)) | v115(constB119))),
% 25.19/16.96 inference(quant_inst,[status(thm)],[])).
% 25.19/16.96 tff(19234,plain,
% 25.19/16.96 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB119) | (~v116(constB119))),
% 25.19/16.96 inference(modus_ponens,[status(thm)],[19233, 19232])).
% 25.19/16.96 tff(19235,plain,
% 25.19/16.96 (v115(constB119)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19234, 1008, 19228])).
% 25.19/16.96 tff(19236,plain,
% 25.19/16.96 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB119) | (~v115(constB119)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB119) | (~v115(constB119)))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19237,plain,
% 25.19/16.96 (((~v115(constB119)) | v114(constB119)) <=> (v114(constB119) | (~v115(constB119)))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19238,plain,
% 25.19/16.96 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB119)) | v114(constB119))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB119) | (~v115(constB119))))),
% 25.19/16.96 inference(monotonicity,[status(thm)],[19237])).
% 25.19/16.96 tff(19239,plain,
% 25.19/16.96 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB119)) | v114(constB119))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB119) | (~v115(constB119)))),
% 25.19/16.96 inference(transitivity,[status(thm)],[19238, 19236])).
% 25.19/16.96 tff(19240,plain,
% 25.19/16.96 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB119)) | v114(constB119))),
% 25.19/16.96 inference(quant_inst,[status(thm)],[])).
% 25.19/16.96 tff(19241,plain,
% 25.19/16.96 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB119) | (~v115(constB119))),
% 25.19/16.96 inference(modus_ponens,[status(thm)],[19240, 19239])).
% 25.19/16.96 tff(19242,plain,
% 25.19/16.96 (v114(constB119)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19241, 1022, 19235])).
% 25.19/16.96 tff(19243,plain,
% 25.19/16.96 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB119) | (~v114(constB119)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB119) | (~v114(constB119)))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19244,plain,
% 25.19/16.96 (((~v114(constB119)) | v113(constB119)) <=> (v113(constB119) | (~v114(constB119)))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19245,plain,
% 25.19/16.96 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB119)) | v113(constB119))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB119) | (~v114(constB119))))),
% 25.19/16.96 inference(monotonicity,[status(thm)],[19244])).
% 25.19/16.96 tff(19246,plain,
% 25.19/16.96 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB119)) | v113(constB119))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB119) | (~v114(constB119)))),
% 25.19/16.96 inference(transitivity,[status(thm)],[19245, 19243])).
% 25.19/16.96 tff(19247,plain,
% 25.19/16.96 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB119)) | v113(constB119))),
% 25.19/16.96 inference(quant_inst,[status(thm)],[])).
% 25.19/16.96 tff(19248,plain,
% 25.19/16.96 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB119) | (~v114(constB119))),
% 25.19/16.96 inference(modus_ponens,[status(thm)],[19247, 19246])).
% 25.19/16.96 tff(19249,plain,
% 25.19/16.96 (v113(constB119)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19248, 1036, 19242])).
% 25.19/16.96 tff(19250,plain,
% 25.19/16.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | (~v113(constB119)) | v112(constB119))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB119) | (~v113(constB119)) | v112(constB119))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19251,plain,
% 25.19/16.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | (~v113(constB119)) | v112(constB119))),
% 25.19/16.96 inference(quant_inst,[status(thm)],[])).
% 25.19/16.96 tff(19252,plain,
% 25.19/16.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB119) | (~v113(constB119)) | v112(constB119)),
% 25.19/16.96 inference(modus_ponens,[status(thm)],[19251, 19250])).
% 25.19/16.96 tff(19253,plain,
% 25.19/16.96 (v26(constB119) | v112(constB119)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19252, 1050, 19249])).
% 25.19/16.96 tff(19254,plain,
% 25.19/16.96 (v112(constB119)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19253, 804])).
% 25.19/16.96 tff(19255,plain,
% 25.19/16.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB119) | (~v112(constB119)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB119) | (~v112(constB119)))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19256,plain,
% 25.19/16.96 (((~v112(constB119)) | v108(constB119)) <=> (v108(constB119) | (~v112(constB119)))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19257,plain,
% 25.19/16.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB119)) | v108(constB119))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB119) | (~v112(constB119))))),
% 25.19/16.96 inference(monotonicity,[status(thm)],[19256])).
% 25.19/16.96 tff(19258,plain,
% 25.19/16.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB119)) | v108(constB119))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB119) | (~v112(constB119)))),
% 25.19/16.96 inference(transitivity,[status(thm)],[19257, 19255])).
% 25.19/16.96 tff(19259,plain,
% 25.19/16.96 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB119)) | v108(constB119))),
% 25.19/16.96 inference(quant_inst,[status(thm)],[])).
% 25.19/16.96 tff(19260,plain,
% 25.19/16.96 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB119) | (~v112(constB119))),
% 25.19/16.96 inference(modus_ponens,[status(thm)],[19259, 19258])).
% 25.19/16.96 tff(19261,plain,
% 25.19/16.96 (v108(constB119)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19260, 1062, 19254])).
% 25.19/16.96 tff(19262,plain,
% 25.19/16.96 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19263,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_119_1')).
% 25.19/16.96 tff(19264,plain,
% 25.19/16.96 (nextState(constB119, constB120)),
% 25.19/16.96 inference(modus_ponens,[status(thm)],[19263, 19262])).
% 25.19/16.96 tff(19265,plain,
% 25.19/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19266,plain,
% 25.19/16.96 (((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120)) <=> ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19267,plain,
% 25.19/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119))))),
% 25.19/16.96 inference(monotonicity,[status(thm)],[19266])).
% 25.19/16.96 tff(19268,plain,
% 25.19/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 25.19/16.96 inference(transitivity,[status(thm)],[19267, 19265])).
% 25.19/16.96 tff(19269,plain,
% 25.19/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))),
% 25.19/16.96 inference(quant_inst,[status(thm)],[])).
% 25.19/16.96 tff(19270,plain,
% 25.19/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119))),
% 25.19/16.96 inference(modus_ponens,[status(thm)],[19269, 19268])).
% 25.19/16.96 tff(19271,plain,
% 25.19/16.96 (v110(constB120) | (~v108(constB119))),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19270, 1082, 19264])).
% 25.19/16.96 tff(19272,plain,
% 25.19/16.96 (v110(constB120)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19271, 19261])).
% 25.19/16.96 tff(19273,plain,
% 25.19/16.96 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19274,plain,
% 25.19/16.96 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))),
% 25.19/16.96 inference(quant_inst,[status(thm)],[])).
% 25.19/16.96 tff(19275,plain,
% 25.19/16.96 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120))),
% 25.19/16.96 inference(modus_ponens,[status(thm)],[19274, 19273])).
% 25.19/16.96 tff(19276,plain,
% 25.19/16.96 (~v104(constB120)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19275, 1100, 19264, 19124])).
% 25.19/16.96 tff(19277,plain,
% 25.19/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19278,plain,
% 25.19/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))),
% 25.19/16.96 inference(quant_inst,[status(thm)],[])).
% 25.19/16.96 tff(19279,plain,
% 25.19/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v102(constB120) | v104(constB120)),
% 25.19/16.96 inference(modus_ponens,[status(thm)],[19278, 19277])).
% 25.19/16.96 tff(19280,plain,
% 25.19/16.96 (v102(constB120) | v104(constB120)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19279, 1114, 19264])).
% 25.19/16.96 tff(19281,plain,
% 25.19/16.96 (v102(constB120)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19280, 19276])).
% 25.19/16.96 tff(19282,plain,
% 25.19/16.96 (v1(constB120) <=> v1(constB120)),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19283,axiom,(v1(constB120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_120_1')).
% 25.19/16.96 tff(19284,plain,
% 25.19/16.96 (v1(constB120)),
% 25.19/16.96 inference(modus_ponens,[status(thm)],[19283, 19282])).
% 25.19/16.96 tff(19285,plain,
% 25.19/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19286,plain,
% 25.19/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))),
% 25.19/16.96 inference(quant_inst,[status(thm)],[])).
% 25.19/16.96 tff(19287,plain,
% 25.19/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120))),
% 25.19/16.96 inference(modus_ponens,[status(thm)],[19286, 19285])).
% 25.19/16.96 tff(19288,plain,
% 25.19/16.96 (v101(constB120) | (~v102(constB120))),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19287, 1129, 19264, 19284])).
% 25.19/16.96 tff(19289,plain,
% 25.19/16.96 (v101(constB120)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19288, 19281])).
% 25.19/16.96 tff(19290,plain,
% 25.19/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19291,plain,
% 25.19/16.96 (((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120)) <=> ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19292,plain,
% 25.19/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120))))),
% 25.19/16.96 inference(monotonicity,[status(thm)],[19291])).
% 25.19/16.96 tff(19293,plain,
% 25.19/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 25.19/16.96 inference(transitivity,[status(thm)],[19292, 19290])).
% 25.19/16.96 tff(19294,plain,
% 25.19/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))),
% 25.19/16.96 inference(quant_inst,[status(thm)],[])).
% 25.19/16.96 tff(19295,plain,
% 25.19/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 25.19/16.96 inference(modus_ponens,[status(thm)],[19294, 19293])).
% 25.19/16.96 tff(19296,plain,
% 25.19/16.96 (v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19295, 1144, 19264])).
% 25.19/16.96 tff(19297,plain,
% 25.19/16.96 (v100(constB120) | (~v110(constB120))),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19296, 19289])).
% 25.19/16.96 tff(19298,plain,
% 25.19/16.96 (v100(constB120)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19297, 19272])).
% 25.19/16.96 tff(19299,plain,
% 25.19/16.96 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB119)) | (~v130(constB119, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB119)) | (~v130(constB119, bitIndex2)))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19300,plain,
% 25.19/16.96 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB119)) | (~v130(constB119, bitIndex2)))),
% 25.19/16.96 inference(quant_inst,[status(thm)],[])).
% 25.19/16.96 tff(19301,plain,
% 25.19/16.96 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB119)) | (~v130(constB119, bitIndex2))),
% 25.19/16.96 inference(modus_ponens,[status(thm)],[19300, 19299])).
% 25.19/16.96 tff(19302,plain,
% 25.19/16.96 (~v130(constB119, bitIndex2)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19301, 2406, 19217])).
% 25.19/16.96 tff(19303,plain,
% 25.19/16.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB119, bitIndex2)) | v26(constB119) | v130(constB119, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB119, bitIndex2)) | v26(constB119) | v130(constB119, bitIndex2))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19304,plain,
% 25.19/16.96 ((v26(constB119) | v130(constB119, bitIndex2) | (~v127(constB119, bitIndex2))) <=> ((~v127(constB119, bitIndex2)) | v26(constB119) | v130(constB119, bitIndex2))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19305,plain,
% 25.19/16.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB119) | v130(constB119, bitIndex2) | (~v127(constB119, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB119, bitIndex2)) | v26(constB119) | v130(constB119, bitIndex2)))),
% 25.19/16.96 inference(monotonicity,[status(thm)],[19304])).
% 25.19/16.96 tff(19306,plain,
% 25.19/16.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB119) | v130(constB119, bitIndex2) | (~v127(constB119, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB119, bitIndex2)) | v26(constB119) | v130(constB119, bitIndex2))),
% 25.19/16.96 inference(transitivity,[status(thm)],[19305, 19303])).
% 25.19/16.96 tff(19307,plain,
% 25.19/16.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB119) | v130(constB119, bitIndex2) | (~v127(constB119, bitIndex2)))),
% 25.19/16.96 inference(quant_inst,[status(thm)],[])).
% 25.19/16.96 tff(19308,plain,
% 25.19/16.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB119, bitIndex2)) | v26(constB119) | v130(constB119, bitIndex2)),
% 25.19/16.96 inference(modus_ponens,[status(thm)],[19307, 19306])).
% 25.19/16.96 tff(19309,plain,
% 25.19/16.96 ((~v127(constB119, bitIndex2)) | v26(constB119)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19308, 1812, 19302])).
% 25.19/16.96 tff(19310,plain,
% 25.19/16.96 (~v127(constB119, bitIndex2)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19309, 804])).
% 25.19/16.96 tff(19311,plain,
% 25.19/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB119, constB120)) | v127(constB119, bitIndex2) | (~v129(constB120, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB119, constB120)) | v127(constB119, bitIndex2) | (~v129(constB120, bitIndex2)))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19312,plain,
% 25.19/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB119, constB120)) | v127(constB119, bitIndex2) | (~v129(constB120, bitIndex2)))),
% 25.19/16.96 inference(quant_inst,[status(thm)],[])).
% 25.19/16.96 tff(19313,plain,
% 25.19/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB119, constB120)) | v127(constB119, bitIndex2) | (~v129(constB120, bitIndex2))),
% 25.19/16.96 inference(modus_ponens,[status(thm)],[19312, 19311])).
% 25.19/16.96 tff(19314,plain,
% 25.19/16.96 (v127(constB119, bitIndex2) | (~v129(constB120, bitIndex2))),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19313, 1830, 19264])).
% 25.19/16.96 tff(19315,plain,
% 25.19/16.96 (~v129(constB120, bitIndex2)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19314, 19310])).
% 25.19/16.96 tff(19316,plain,
% 25.19/16.96 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB120, bitIndex2)) | v129(constB120, bitIndex2) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB120, bitIndex2)) | v129(constB120, bitIndex2) | (~v100(constB120)))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19317,plain,
% 25.19/16.96 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB120, bitIndex2)) | v129(constB120, bitIndex2) | (~v100(constB120)))),
% 25.19/16.96 inference(quant_inst,[status(thm)],[])).
% 25.19/16.96 tff(19318,plain,
% 25.19/16.96 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB120, bitIndex2)) | v129(constB120, bitIndex2) | (~v100(constB120))),
% 25.19/16.96 inference(modus_ponens,[status(thm)],[19317, 19316])).
% 25.19/16.96 tff(19319,plain,
% 25.19/16.96 ((~v90(constB120, bitIndex2)) | (~v100(constB120))),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19318, 1845, 19315])).
% 25.19/16.96 tff(19320,plain,
% 25.19/16.96 (~v90(constB120, bitIndex2)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19319, 19298])).
% 25.19/16.96 tff(19321,plain,
% 25.19/16.96 ((~v1(constB121)) <=> (~v1(constB121))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19322,axiom,(~v1(constB121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_121_1_1')).
% 25.19/16.96 tff(19323,plain,
% 25.19/16.96 (~v1(constB121)),
% 25.19/16.96 inference(modus_ponens,[status(thm)],[19322, 19321])).
% 25.19/16.96 tff(19324,plain,
% 25.19/16.96 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19325,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_120_1')).
% 25.19/16.96 tff(19326,plain,
% 25.19/16.96 (nextState(constB120, constB121)),
% 25.19/16.96 inference(modus_ponens,[status(thm)],[19325, 19324])).
% 25.19/16.96 tff(19327,plain,
% 25.19/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19328,plain,
% 25.19/16.96 (((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121)) <=> (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19329,plain,
% 25.19/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121))))),
% 25.19/16.96 inference(monotonicity,[status(thm)],[19328])).
% 25.19/16.96 tff(19330,plain,
% 25.19/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 25.19/16.96 inference(transitivity,[status(thm)],[19329, 19327])).
% 25.19/16.96 tff(19331,plain,
% 25.19/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))),
% 25.19/16.96 inference(quant_inst,[status(thm)],[])).
% 25.19/16.96 tff(19332,plain,
% 25.19/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121))),
% 25.19/16.96 inference(modus_ponens,[status(thm)],[19331, 19330])).
% 25.19/16.96 tff(19333,plain,
% 25.19/16.96 (~v101(constB121)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19332, 860, 19326, 19323])).
% 25.19/16.96 tff(19334,plain,
% 25.19/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19335,plain,
% 25.19/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))),
% 25.19/16.96 inference(quant_inst,[status(thm)],[])).
% 25.19/16.96 tff(19336,plain,
% 25.19/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121))),
% 25.19/16.96 inference(modus_ponens,[status(thm)],[19335, 19334])).
% 25.19/16.96 tff(19337,plain,
% 25.19/16.96 (v101(constB121) | (~v100(constB121))),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19336, 877, 19326])).
% 25.19/16.96 tff(19338,plain,
% 25.19/16.96 (~v100(constB121)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19337, 19333])).
% 25.19/16.96 tff(19339,plain,
% 25.19/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex2)))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19340,plain,
% 25.19/16.96 (((~nextState(constB120, constB121)) | v90(constB120, bitIndex2) | v100(constB121) | (~v90(constB121, bitIndex2))) <=> (v90(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex2)))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19341,plain,
% 25.19/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex2) | v100(constB121) | (~v90(constB121, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex2))))),
% 25.19/16.96 inference(monotonicity,[status(thm)],[19340])).
% 25.19/16.96 tff(19342,plain,
% 25.19/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex2) | v100(constB121) | (~v90(constB121, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex2)))),
% 25.19/16.96 inference(transitivity,[status(thm)],[19341, 19339])).
% 25.19/16.96 tff(19343,plain,
% 25.19/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex2) | v100(constB121) | (~v90(constB121, bitIndex2)))),
% 25.19/16.96 inference(quant_inst,[status(thm)],[])).
% 25.19/16.96 tff(19344,plain,
% 25.19/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex2))),
% 25.19/16.96 inference(modus_ponens,[status(thm)],[19343, 19342])).
% 25.19/16.96 tff(19345,plain,
% 25.19/16.96 (v90(constB120, bitIndex2) | v100(constB121) | (~v90(constB121, bitIndex2))),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19344, 892, 19326])).
% 25.19/16.96 tff(19346,plain,
% 25.19/16.96 (v90(constB120, bitIndex2) | (~v90(constB121, bitIndex2))),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19345, 19338])).
% 25.19/16.96 tff(19347,plain,
% 25.19/16.96 (~v90(constB121, bitIndex2)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19346, 19320])).
% 25.19/16.96 tff(19348,plain,
% 25.19/16.96 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB119)) | v130(constB119, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB119)) | v130(constB119, bitIndex1))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19349,plain,
% 25.19/16.96 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB119)) | v130(constB119, bitIndex1))),
% 25.19/16.96 inference(quant_inst,[status(thm)],[])).
% 25.19/16.96 tff(19350,plain,
% 25.19/16.96 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB119)) | v130(constB119, bitIndex1)),
% 25.19/16.96 inference(modus_ponens,[status(thm)],[19349, 19348])).
% 25.19/16.96 tff(19351,plain,
% 25.19/16.96 (v130(constB119, bitIndex1)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19350, 2562, 19217])).
% 25.19/16.96 tff(19352,plain,
% 25.19/16.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19353,plain,
% 25.19/16.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1))),
% 25.19/16.96 inference(quant_inst,[status(thm)],[])).
% 25.19/16.96 tff(19354,plain,
% 25.19/16.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1)),
% 25.19/16.96 inference(modus_ponens,[status(thm)],[19353, 19352])).
% 25.19/16.96 tff(19355,plain,
% 25.19/16.96 (v26(constB119) | v127(constB119, bitIndex1)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19354, 1553, 19351])).
% 25.19/16.96 tff(19356,plain,
% 25.19/16.96 (v127(constB119, bitIndex1)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19355, 804])).
% 25.19/16.96 tff(19357,plain,
% 25.19/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19358,plain,
% 25.19/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1))),
% 25.19/16.96 inference(quant_inst,[status(thm)],[])).
% 25.19/16.96 tff(19359,plain,
% 25.19/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1)),
% 25.19/16.96 inference(modus_ponens,[status(thm)],[19358, 19357])).
% 25.19/16.96 tff(19360,plain,
% 25.19/16.96 ((~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19359, 1568, 19264])).
% 25.19/16.96 tff(19361,plain,
% 25.19/16.96 (v129(constB120, bitIndex1)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19360, 19356])).
% 25.19/16.96 tff(19362,plain,
% 25.19/16.96 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19363,plain,
% 25.19/16.96 ((v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1))) <=> (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19364,plain,
% 25.19/16.96 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120))))),
% 25.19/16.96 inference(monotonicity,[status(thm)],[19363])).
% 25.19/16.96 tff(19365,plain,
% 25.19/16.96 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))),
% 25.19/16.96 inference(transitivity,[status(thm)],[19364, 19362])).
% 25.19/16.96 tff(19366,plain,
% 25.19/16.96 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1)))),
% 25.19/16.96 inference(quant_inst,[status(thm)],[])).
% 25.19/16.96 tff(19367,plain,
% 25.19/16.96 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120))),
% 25.19/16.96 inference(modus_ponens,[status(thm)],[19366, 19365])).
% 25.19/16.96 tff(19368,plain,
% 25.19/16.96 (v90(constB120, bitIndex1) | (~v100(constB120))),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19367, 1583, 19361])).
% 25.19/16.96 tff(19369,plain,
% 25.19/16.96 (v90(constB120, bitIndex1)),
% 25.19/16.96 inference(unit_resolution,[status(thm)],[19368, 19298])).
% 25.19/16.96 tff(19370,plain,
% 25.19/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19371,plain,
% 25.19/16.96 (((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1)) <=> ((~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))),
% 25.19/16.96 inference(rewrite,[status(thm)],[])).
% 25.19/16.96 tff(19372,plain,
% 25.19/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1)))),
% 25.19/16.96 inference(monotonicity,[status(thm)],[19371])).
% 25.19/16.96 tff(19373,plain,
% 25.19/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))),
% 25.19/16.97 inference(transitivity,[status(thm)],[19372, 19370])).
% 25.19/16.97 tff(19374,plain,
% 25.19/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1))),
% 25.19/16.97 inference(quant_inst,[status(thm)],[])).
% 25.19/16.97 tff(19375,plain,
% 25.19/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1)),
% 25.19/16.97 inference(modus_ponens,[status(thm)],[19374, 19373])).
% 25.19/16.97 tff(19376,plain,
% 25.19/16.97 ((~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19375, 1601, 19326])).
% 25.19/16.97 tff(19377,plain,
% 25.19/16.97 ((~v90(constB120, bitIndex1)) | v90(constB121, bitIndex1)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19376, 19338])).
% 25.19/16.97 tff(19378,plain,
% 25.19/16.97 (v90(constB121, bitIndex1)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19377, 19369])).
% 25.19/16.97 tff(19379,plain,
% 25.19/16.97 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB119)) | v130(constB119, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB119)) | v130(constB119, bitIndex0))),
% 25.19/16.97 inference(rewrite,[status(thm)],[])).
% 25.19/16.97 tff(19380,plain,
% 25.19/16.97 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB119)) | v130(constB119, bitIndex0))),
% 25.19/16.97 inference(quant_inst,[status(thm)],[])).
% 25.19/16.97 tff(19381,plain,
% 25.19/16.97 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB119)) | v130(constB119, bitIndex0)),
% 25.19/16.97 inference(modus_ponens,[status(thm)],[19380, 19379])).
% 25.19/16.97 tff(19382,plain,
% 25.19/16.97 (v130(constB119, bitIndex0)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19381, 2600, 19217])).
% 25.19/16.97 tff(19383,plain,
% 25.19/16.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB119) | (~v130(constB119, bitIndex0)) | v127(constB119, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB119) | (~v130(constB119, bitIndex0)) | v127(constB119, bitIndex0))),
% 25.19/16.97 inference(rewrite,[status(thm)],[])).
% 25.19/16.97 tff(19384,plain,
% 25.19/16.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB119) | (~v130(constB119, bitIndex0)) | v127(constB119, bitIndex0))),
% 25.19/16.97 inference(quant_inst,[status(thm)],[])).
% 25.19/16.97 tff(19385,plain,
% 25.19/16.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB119) | (~v130(constB119, bitIndex0)) | v127(constB119, bitIndex0)),
% 25.19/16.97 inference(modus_ponens,[status(thm)],[19384, 19383])).
% 25.19/16.97 tff(19386,plain,
% 25.19/16.97 (v26(constB119) | v127(constB119, bitIndex0)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19385, 1945, 19382])).
% 25.19/16.97 tff(19387,plain,
% 25.19/16.97 (v127(constB119, bitIndex0)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19386, 804])).
% 25.19/16.97 tff(19388,plain,
% 25.19/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex0)) | v129(constB120, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex0)) | v129(constB120, bitIndex0))),
% 25.19/16.97 inference(rewrite,[status(thm)],[])).
% 25.19/16.97 tff(19389,plain,
% 25.19/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex0)) | v129(constB120, bitIndex0))),
% 25.19/16.97 inference(quant_inst,[status(thm)],[])).
% 25.19/16.97 tff(19390,plain,
% 25.19/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex0)) | v129(constB120, bitIndex0)),
% 25.19/16.97 inference(modus_ponens,[status(thm)],[19389, 19388])).
% 25.19/16.97 tff(19391,plain,
% 25.19/16.97 ((~v127(constB119, bitIndex0)) | v129(constB120, bitIndex0)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19390, 1960, 19264])).
% 25.19/16.97 tff(19392,plain,
% 25.19/16.97 (v129(constB120, bitIndex0)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19391, 19387])).
% 25.19/16.97 tff(19393,plain,
% 25.19/16.97 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~v129(constB120, bitIndex0)) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~v129(constB120, bitIndex0)) | (~v100(constB120)))),
% 25.19/16.97 inference(rewrite,[status(thm)],[])).
% 25.19/16.97 tff(19394,plain,
% 25.19/16.97 ((v90(constB120, bitIndex0) | (~v100(constB120)) | (~v129(constB120, bitIndex0))) <=> (v90(constB120, bitIndex0) | (~v129(constB120, bitIndex0)) | (~v100(constB120)))),
% 25.19/16.97 inference(rewrite,[status(thm)],[])).
% 25.19/16.97 tff(19395,plain,
% 25.19/16.97 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~v100(constB120)) | (~v129(constB120, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~v129(constB120, bitIndex0)) | (~v100(constB120))))),
% 25.19/16.97 inference(monotonicity,[status(thm)],[19394])).
% 25.19/16.97 tff(19396,plain,
% 25.19/16.97 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~v100(constB120)) | (~v129(constB120, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~v129(constB120, bitIndex0)) | (~v100(constB120)))),
% 25.19/16.97 inference(transitivity,[status(thm)],[19395, 19393])).
% 25.19/16.97 tff(19397,plain,
% 25.19/16.97 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~v100(constB120)) | (~v129(constB120, bitIndex0)))),
% 25.19/16.97 inference(quant_inst,[status(thm)],[])).
% 25.19/16.97 tff(19398,plain,
% 25.19/16.97 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~v129(constB120, bitIndex0)) | (~v100(constB120))),
% 25.19/16.97 inference(modus_ponens,[status(thm)],[19397, 19396])).
% 25.19/16.97 tff(19399,plain,
% 25.19/16.97 (v90(constB120, bitIndex0) | (~v100(constB120))),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19398, 1975, 19392])).
% 25.19/16.97 tff(19400,plain,
% 25.19/16.97 (v90(constB120, bitIndex0)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19399, 19298])).
% 25.19/16.97 tff(19401,plain,
% 25.19/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex0))),
% 25.19/16.97 inference(rewrite,[status(thm)],[])).
% 25.19/16.97 tff(19402,plain,
% 25.19/16.97 (((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex0)) | v100(constB121) | v90(constB121, bitIndex0)) <=> ((~v90(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex0))),
% 25.19/16.97 inference(rewrite,[status(thm)],[])).
% 25.19/16.97 tff(19403,plain,
% 25.19/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex0)) | v100(constB121) | v90(constB121, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex0)))),
% 25.19/16.97 inference(monotonicity,[status(thm)],[19402])).
% 25.19/16.97 tff(19404,plain,
% 25.19/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex0)) | v100(constB121) | v90(constB121, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex0))),
% 25.19/16.97 inference(transitivity,[status(thm)],[19403, 19401])).
% 25.19/16.97 tff(19405,plain,
% 25.19/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex0)) | v100(constB121) | v90(constB121, bitIndex0))),
% 25.19/16.97 inference(quant_inst,[status(thm)],[])).
% 25.19/16.97 tff(19406,plain,
% 25.19/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex0)),
% 25.19/16.97 inference(modus_ponens,[status(thm)],[19405, 19404])).
% 25.19/16.97 tff(19407,plain,
% 25.19/16.97 ((~v90(constB120, bitIndex0)) | v100(constB121) | v90(constB121, bitIndex0)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19406, 1993, 19326])).
% 25.19/16.97 tff(19408,plain,
% 25.19/16.97 ((~v90(constB120, bitIndex0)) | v90(constB121, bitIndex0)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19407, 19338])).
% 25.19/16.97 tff(19409,plain,
% 25.19/16.97 (v90(constB121, bitIndex0)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19408, 19400])).
% 25.19/16.97 tff(19410,plain,
% 25.19/16.97 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex2) | v122(constB121))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex2) | v122(constB121))),
% 25.19/16.97 inference(rewrite,[status(thm)],[])).
% 25.19/16.97 tff(19411,plain,
% 25.19/16.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex2) | v122(constB121))),
% 25.19/16.97 inference(quant_inst,[status(thm)],[])).
% 25.19/16.97 tff(19412,plain,
% 25.19/16.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex2) | v122(constB121)),
% 25.19/16.97 inference(modus_ponens,[status(thm)],[19411, 19410])).
% 25.19/16.97 tff(19413,plain,
% 25.19/16.97 (v122(constB121)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19412, 2641, 19409, 19378, 19347])).
% 25.19/16.97 tff(19414,plain,
% 25.19/16.97 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB121)) | v130(constB121, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB121)) | v130(constB121, bitIndex2))),
% 25.19/16.97 inference(rewrite,[status(thm)],[])).
% 25.19/16.97 tff(19415,plain,
% 25.19/16.97 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB121)) | v130(constB121, bitIndex2))),
% 25.19/16.97 inference(quant_inst,[status(thm)],[])).
% 25.19/16.97 tff(19416,plain,
% 25.19/16.97 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB121)) | v130(constB121, bitIndex2)),
% 25.19/16.97 inference(modus_ponens,[status(thm)],[19415, 19414])).
% 25.19/16.97 tff(19417,plain,
% 25.19/16.97 (v130(constB121, bitIndex2)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19416, 2736, 19413])).
% 25.19/16.97 tff(19418,plain,
% 25.19/16.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB121) | (~v130(constB121, bitIndex2)) | v127(constB121, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB121) | (~v130(constB121, bitIndex2)) | v127(constB121, bitIndex2))),
% 25.19/16.97 inference(rewrite,[status(thm)],[])).
% 25.19/16.97 tff(19419,plain,
% 25.19/16.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB121) | (~v130(constB121, bitIndex2)) | v127(constB121, bitIndex2))),
% 25.19/16.97 inference(quant_inst,[status(thm)],[])).
% 25.19/16.97 tff(19420,plain,
% 25.19/16.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB121) | (~v130(constB121, bitIndex2)) | v127(constB121, bitIndex2)),
% 25.19/16.97 inference(modus_ponens,[status(thm)],[19419, 19418])).
% 25.19/16.97 tff(19421,plain,
% 25.19/16.97 (v26(constB121) | v127(constB121, bitIndex2)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19420, 1174, 19417])).
% 25.19/16.97 tff(19422,plain,
% 25.19/16.97 (v127(constB121, bitIndex2)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19421, 800])).
% 25.19/16.97 tff(19423,plain,
% 25.19/16.97 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 25.19/16.97 inference(rewrite,[status(thm)],[])).
% 25.19/16.97 tff(19424,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_121_1')).
% 25.19/16.97 tff(19425,plain,
% 25.19/16.97 (nextState(constB121, constB122)),
% 25.19/16.97 inference(modus_ponens,[status(thm)],[19424, 19423])).
% 25.19/16.97 tff(19426,plain,
% 25.19/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB121, constB122)) | (~v127(constB121, bitIndex2)) | v129(constB122, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB121, constB122)) | (~v127(constB121, bitIndex2)) | v129(constB122, bitIndex2))),
% 25.19/16.97 inference(rewrite,[status(thm)],[])).
% 25.19/16.97 tff(19427,plain,
% 25.19/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB121, constB122)) | (~v127(constB121, bitIndex2)) | v129(constB122, bitIndex2))),
% 25.19/16.97 inference(quant_inst,[status(thm)],[])).
% 25.19/16.97 tff(19428,plain,
% 25.19/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB121, constB122)) | (~v127(constB121, bitIndex2)) | v129(constB122, bitIndex2)),
% 25.19/16.97 inference(modus_ponens,[status(thm)],[19427, 19426])).
% 25.19/16.97 tff(19429,plain,
% 25.19/16.97 ((~v127(constB121, bitIndex2)) | v129(constB122, bitIndex2)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19428, 1189, 19425])).
% 25.19/16.97 tff(19430,plain,
% 25.19/16.97 (v129(constB122, bitIndex2)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19429, 19422])).
% 25.19/16.97 tff(19431,assumption,(~v100(constB122)), introduced(assumption)).
% 25.19/16.97 tff(19432,plain,
% 25.19/16.97 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))),
% 25.19/16.97 inference(rewrite,[status(thm)],[])).
% 25.19/16.97 tff(19433,plain,
% 25.19/16.97 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))),
% 25.19/16.97 inference(quant_inst,[status(thm)],[])).
% 25.19/16.97 tff(19434,plain,
% 25.19/16.97 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122))),
% 25.19/16.97 inference(modus_ponens,[status(thm)],[19433, 19432])).
% 25.19/16.97 tff(19435,plain,
% 25.19/16.97 (~v104(constB122)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19434, 1100, 19425, 19323])).
% 25.19/16.97 tff(19436,plain,
% 25.19/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))),
% 25.19/16.97 inference(rewrite,[status(thm)],[])).
% 25.19/16.97 tff(19437,plain,
% 25.19/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))),
% 25.19/16.97 inference(quant_inst,[status(thm)],[])).
% 25.19/16.97 tff(19438,plain,
% 25.19/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v102(constB122) | v104(constB122)),
% 25.19/16.97 inference(modus_ponens,[status(thm)],[19437, 19436])).
% 25.19/16.97 tff(19439,plain,
% 25.19/16.97 (v102(constB122) | v104(constB122)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19438, 1114, 19425])).
% 25.19/16.97 tff(19440,plain,
% 25.19/16.97 (v102(constB122)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19439, 19435])).
% 25.19/16.97 tff(19441,plain,
% 25.19/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))),
% 25.19/16.97 inference(rewrite,[status(thm)],[])).
% 25.19/16.97 tff(19442,plain,
% 25.19/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))),
% 25.19/16.97 inference(quant_inst,[status(thm)],[])).
% 25.19/16.97 tff(19443,plain,
% 25.19/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122))),
% 25.19/16.97 inference(modus_ponens,[status(thm)],[19442, 19441])).
% 25.19/16.97 tff(19444,plain,
% 25.19/16.97 (v101(constB122) | (~v102(constB122))),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19443, 1129, 19425, 152])).
% 25.19/16.97 tff(19445,plain,
% 25.19/16.97 (v101(constB122)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19444, 19440])).
% 25.19/16.97 tff(19446,plain,
% 25.19/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 25.19/16.97 inference(rewrite,[status(thm)],[])).
% 25.19/16.97 tff(19447,plain,
% 25.19/16.97 (((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122)) <=> ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 25.19/16.97 inference(rewrite,[status(thm)],[])).
% 25.19/16.97 tff(19448,plain,
% 25.19/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122))))),
% 25.19/16.97 inference(monotonicity,[status(thm)],[19447])).
% 25.19/16.97 tff(19449,plain,
% 25.19/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 25.19/16.97 inference(transitivity,[status(thm)],[19448, 19446])).
% 25.19/16.97 tff(19450,plain,
% 25.19/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))),
% 25.19/16.97 inference(quant_inst,[status(thm)],[])).
% 25.19/16.97 tff(19451,plain,
% 25.19/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 25.19/16.97 inference(modus_ponens,[status(thm)],[19450, 19449])).
% 25.19/16.97 tff(19452,plain,
% 25.19/16.97 (v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19451, 1144, 19425])).
% 25.19/16.97 tff(19453,plain,
% 25.19/16.97 (v100(constB122) | (~v110(constB122))),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19452, 19445])).
% 25.19/16.97 tff(19454,plain,
% 25.19/16.97 (~v110(constB122)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19453, 19431])).
% 25.19/16.97 tff(19455,plain,
% 25.19/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 25.19/16.97 inference(rewrite,[status(thm)],[])).
% 25.19/16.97 tff(19456,plain,
% 25.19/16.97 (((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122)) <=> ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 25.19/16.97 inference(rewrite,[status(thm)],[])).
% 25.19/16.97 tff(19457,plain,
% 25.19/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121))))),
% 25.19/16.97 inference(monotonicity,[status(thm)],[19456])).
% 25.19/16.97 tff(19458,plain,
% 25.19/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 25.19/16.97 inference(transitivity,[status(thm)],[19457, 19455])).
% 25.19/16.97 tff(19459,plain,
% 25.19/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))),
% 25.19/16.97 inference(quant_inst,[status(thm)],[])).
% 25.19/16.97 tff(19460,plain,
% 25.19/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121))),
% 25.19/16.97 inference(modus_ponens,[status(thm)],[19459, 19458])).
% 25.19/16.97 tff(19461,plain,
% 25.19/16.97 (v110(constB122) | (~v108(constB121))),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19460, 1082, 19425])).
% 25.19/16.97 tff(19462,plain,
% 25.19/16.97 (~v108(constB121)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19461, 19454])).
% 25.19/16.97 tff(19463,plain,
% 25.19/16.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB121) | (~v112(constB121)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v112(constB121)))),
% 25.19/16.97 inference(rewrite,[status(thm)],[])).
% 25.19/16.97 tff(19464,plain,
% 25.19/16.97 (((~v112(constB121)) | v108(constB121)) <=> (v108(constB121) | (~v112(constB121)))),
% 25.19/16.97 inference(rewrite,[status(thm)],[])).
% 25.19/16.97 tff(19465,plain,
% 25.19/16.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB121)) | v108(constB121))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB121) | (~v112(constB121))))),
% 25.19/16.97 inference(monotonicity,[status(thm)],[19464])).
% 25.19/16.97 tff(19466,plain,
% 25.19/16.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB121)) | v108(constB121))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v112(constB121)))),
% 25.19/16.97 inference(transitivity,[status(thm)],[19465, 19463])).
% 25.19/16.97 tff(19467,plain,
% 25.19/16.97 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB121)) | v108(constB121))),
% 25.19/16.97 inference(quant_inst,[status(thm)],[])).
% 25.19/16.97 tff(19468,plain,
% 25.19/16.97 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v112(constB121))),
% 25.19/16.97 inference(modus_ponens,[status(thm)],[19467, 19466])).
% 25.19/16.97 tff(19469,plain,
% 25.19/16.97 (~v112(constB121)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19468, 1062, 19462])).
% 25.19/16.97 tff(19470,plain,
% 25.19/16.97 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB121) | (~v26(constB121)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v26(constB121)))),
% 25.19/16.97 inference(rewrite,[status(thm)],[])).
% 25.19/16.97 tff(19471,plain,
% 25.19/16.97 (((~v26(constB121)) | v108(constB121)) <=> (v108(constB121) | (~v26(constB121)))),
% 25.19/16.97 inference(rewrite,[status(thm)],[])).
% 25.19/16.97 tff(19472,plain,
% 25.19/16.97 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB121)) | v108(constB121))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB121) | (~v26(constB121))))),
% 25.19/16.97 inference(monotonicity,[status(thm)],[19471])).
% 25.19/16.97 tff(19473,plain,
% 25.19/16.97 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB121)) | v108(constB121))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v26(constB121)))),
% 25.19/16.97 inference(transitivity,[status(thm)],[19472, 19470])).
% 25.19/16.97 tff(19474,plain,
% 25.19/16.97 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB121)) | v108(constB121))),
% 25.19/16.97 inference(quant_inst,[status(thm)],[])).
% 25.19/16.97 tff(19475,plain,
% 25.19/16.97 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v26(constB121))),
% 25.19/16.97 inference(modus_ponens,[status(thm)],[19474, 19473])).
% 25.19/16.97 tff(19476,plain,
% 25.19/16.97 (~v26(constB121)),
% 25.19/16.97 inference(unit_resolution,[status(thm)],[19475, 2441, 19462])).
% 25.19/16.97 tff(19477,plain,
% 25.19/16.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | v112(constB121) | (~v113(constB121)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 25.19/16.97 inference(rewrite,[status(thm)],[])).
% 25.19/16.97 tff(19478,plain,
% 25.19/16.97 ((v26(constB121) | (~v113(constB121)) | v112(constB121)) <=> (v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 25.19/16.97 inference(rewrite,[status(thm)],[])).
% 25.19/16.97 tff(19479,plain,
% 25.19/16.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | v112(constB121) | (~v113(constB121))))),
% 25.19/16.97 inference(monotonicity,[status(thm)],[19478])).
% 25.19/16.97 tff(19480,plain,
% 25.19/16.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 25.26/16.97 inference(transitivity,[status(thm)],[19479, 19477])).
% 25.26/16.97 tff(19481,plain,
% 25.26/16.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))),
% 25.26/16.97 inference(quant_inst,[status(thm)],[])).
% 25.26/16.97 tff(19482,plain,
% 25.26/16.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121))),
% 25.26/16.97 inference(modus_ponens,[status(thm)],[19481, 19480])).
% 25.26/16.97 tff(19483,plain,
% 25.26/16.97 (~v113(constB121)),
% 25.26/16.97 inference(unit_resolution,[status(thm)],[19482, 1050, 19476, 19469])).
% 25.26/16.97 tff(19484,plain,
% 25.26/16.97 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB121) | (~v114(constB121)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB121) | (~v114(constB121)))),
% 25.26/16.97 inference(rewrite,[status(thm)],[])).
% 25.26/16.97 tff(19485,plain,
% 25.26/16.97 (((~v114(constB121)) | v113(constB121)) <=> (v113(constB121) | (~v114(constB121)))),
% 25.26/16.97 inference(rewrite,[status(thm)],[])).
% 25.26/16.97 tff(19486,plain,
% 25.26/16.97 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB121)) | v113(constB121))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB121) | (~v114(constB121))))),
% 25.26/16.97 inference(monotonicity,[status(thm)],[19485])).
% 25.26/16.97 tff(19487,plain,
% 25.26/16.97 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB121)) | v113(constB121))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB121) | (~v114(constB121)))),
% 25.26/16.97 inference(transitivity,[status(thm)],[19486, 19484])).
% 25.26/16.97 tff(19488,plain,
% 25.26/16.97 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB121)) | v113(constB121))),
% 25.26/16.97 inference(quant_inst,[status(thm)],[])).
% 25.26/16.97 tff(19489,plain,
% 25.26/16.97 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB121) | (~v114(constB121))),
% 25.26/16.97 inference(modus_ponens,[status(thm)],[19488, 19487])).
% 25.26/16.97 tff(19490,plain,
% 25.26/16.97 (~v114(constB121)),
% 25.26/16.97 inference(unit_resolution,[status(thm)],[19489, 1036, 19483])).
% 25.26/16.97 tff(19491,plain,
% 25.26/16.97 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB121) | (~v115(constB121)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB121) | (~v115(constB121)))),
% 25.26/16.97 inference(rewrite,[status(thm)],[])).
% 25.26/16.97 tff(19492,plain,
% 25.26/16.97 (((~v115(constB121)) | v114(constB121)) <=> (v114(constB121) | (~v115(constB121)))),
% 25.26/16.97 inference(rewrite,[status(thm)],[])).
% 25.26/16.97 tff(19493,plain,
% 25.26/16.97 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB121)) | v114(constB121))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB121) | (~v115(constB121))))),
% 25.26/16.97 inference(monotonicity,[status(thm)],[19492])).
% 25.26/16.97 tff(19494,plain,
% 25.26/16.97 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB121)) | v114(constB121))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB121) | (~v115(constB121)))),
% 25.26/16.97 inference(transitivity,[status(thm)],[19493, 19491])).
% 25.26/16.97 tff(19495,plain,
% 25.26/16.97 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB121)) | v114(constB121))),
% 25.26/16.97 inference(quant_inst,[status(thm)],[])).
% 25.26/16.97 tff(19496,plain,
% 25.26/16.97 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB121) | (~v115(constB121))),
% 25.26/16.97 inference(modus_ponens,[status(thm)],[19495, 19494])).
% 25.26/16.97 tff(19497,plain,
% 25.26/16.97 (~v115(constB121)),
% 25.26/16.97 inference(unit_resolution,[status(thm)],[19496, 1022, 19490])).
% 25.26/16.97 tff(19498,plain,
% 25.26/16.97 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB121) | (~v116(constB121)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB121) | (~v116(constB121)))),
% 25.26/16.97 inference(rewrite,[status(thm)],[])).
% 25.26/16.97 tff(19499,plain,
% 25.26/16.97 (((~v116(constB121)) | v115(constB121)) <=> (v115(constB121) | (~v116(constB121)))),
% 25.26/16.97 inference(rewrite,[status(thm)],[])).
% 25.26/16.97 tff(19500,plain,
% 25.26/16.97 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB121)) | v115(constB121))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB121) | (~v116(constB121))))),
% 25.26/16.98 inference(monotonicity,[status(thm)],[19499])).
% 25.26/16.98 tff(19501,plain,
% 25.26/16.98 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB121)) | v115(constB121))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB121) | (~v116(constB121)))),
% 25.26/16.98 inference(transitivity,[status(thm)],[19500, 19498])).
% 25.26/16.98 tff(19502,plain,
% 25.26/16.98 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB121)) | v115(constB121))),
% 25.26/16.98 inference(quant_inst,[status(thm)],[])).
% 25.26/16.98 tff(19503,plain,
% 25.26/16.98 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB121) | (~v116(constB121))),
% 25.26/16.98 inference(modus_ponens,[status(thm)],[19502, 19501])).
% 25.26/16.98 tff(19504,plain,
% 25.26/16.98 (~v116(constB121)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19503, 1008, 19497])).
% 25.26/16.98 tff(19505,plain,
% 25.26/16.98 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB121) | (~v117(constB121)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB121) | (~v117(constB121)))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19506,plain,
% 25.26/16.98 (((~v117(constB121)) | v116(constB121)) <=> (v116(constB121) | (~v117(constB121)))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19507,plain,
% 25.26/16.98 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB121)) | v116(constB121))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB121) | (~v117(constB121))))),
% 25.26/16.98 inference(monotonicity,[status(thm)],[19506])).
% 25.26/16.98 tff(19508,plain,
% 25.26/16.98 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB121)) | v116(constB121))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB121) | (~v117(constB121)))),
% 25.26/16.98 inference(transitivity,[status(thm)],[19507, 19505])).
% 25.26/16.98 tff(19509,plain,
% 25.26/16.98 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB121)) | v116(constB121))),
% 25.26/16.98 inference(quant_inst,[status(thm)],[])).
% 25.26/16.98 tff(19510,plain,
% 25.26/16.98 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB121) | (~v117(constB121))),
% 25.26/16.98 inference(modus_ponens,[status(thm)],[19509, 19508])).
% 25.26/16.98 tff(19511,plain,
% 25.26/16.98 (~v117(constB121)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19510, 994, 19504])).
% 25.26/16.98 tff(19512,plain,
% 25.26/16.98 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB121) | (~v118(constB121)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB121) | (~v118(constB121)))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19513,plain,
% 25.26/16.98 (((~v118(constB121)) | v117(constB121)) <=> (v117(constB121) | (~v118(constB121)))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19514,plain,
% 25.26/16.98 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB121)) | v117(constB121))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB121) | (~v118(constB121))))),
% 25.26/16.98 inference(monotonicity,[status(thm)],[19513])).
% 25.26/16.98 tff(19515,plain,
% 25.26/16.98 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB121)) | v117(constB121))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB121) | (~v118(constB121)))),
% 25.26/16.98 inference(transitivity,[status(thm)],[19514, 19512])).
% 25.26/16.98 tff(19516,plain,
% 25.26/16.98 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB121)) | v117(constB121))),
% 25.26/16.98 inference(quant_inst,[status(thm)],[])).
% 25.26/16.98 tff(19517,plain,
% 25.26/16.98 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB121) | (~v118(constB121))),
% 25.26/16.98 inference(modus_ponens,[status(thm)],[19516, 19515])).
% 25.26/16.98 tff(19518,plain,
% 25.26/16.98 (~v118(constB121)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19517, 980, 19511])).
% 25.26/16.98 tff(19519,plain,
% 25.26/16.98 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB121)) | v118(constB121))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB121)) | v118(constB121))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19520,plain,
% 25.26/16.98 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB121)) | v118(constB121))),
% 25.26/16.98 inference(quant_inst,[status(thm)],[])).
% 25.26/16.98 tff(19521,plain,
% 25.26/16.98 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB121)) | v118(constB121)),
% 25.26/16.98 inference(modus_ponens,[status(thm)],[19520, 19519])).
% 25.26/16.98 tff(19522,plain,
% 25.26/16.98 (~v120(constB121)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19521, 2210, 19518])).
% 25.26/16.98 tff(19523,plain,
% 25.26/16.98 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB121)) | v117(constB121))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB121)) | v117(constB121))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19524,plain,
% 25.26/16.98 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB121)) | v117(constB121))),
% 25.26/16.98 inference(quant_inst,[status(thm)],[])).
% 25.26/16.98 tff(19525,plain,
% 25.26/16.98 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB121)) | v117(constB121)),
% 25.26/16.98 inference(modus_ponens,[status(thm)],[19524, 19523])).
% 25.26/16.98 tff(19526,plain,
% 25.26/16.98 (~v121(constB121)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19525, 2102, 19511])).
% 25.26/16.98 tff(19527,assumption,(~v90(constB122, bitIndex2)), introduced(assumption)).
% 25.26/16.98 tff(19528,plain,
% 25.26/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB121, bitIndex2)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB121, bitIndex2)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, bitIndex2))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19529,plain,
% 25.26/16.98 (((~nextState(constB121, constB122)) | (~v90(constB121, bitIndex2)) | v100(constB122) | v90(constB122, bitIndex2)) <=> ((~v90(constB121, bitIndex2)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, bitIndex2))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19530,plain,
% 25.26/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB121, constB122)) | (~v90(constB121, bitIndex2)) | v100(constB122) | v90(constB122, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB121, bitIndex2)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, bitIndex2)))),
% 25.26/16.98 inference(monotonicity,[status(thm)],[19529])).
% 25.26/16.98 tff(19531,plain,
% 25.26/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB121, constB122)) | (~v90(constB121, bitIndex2)) | v100(constB122) | v90(constB122, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB121, bitIndex2)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, bitIndex2))),
% 25.26/16.98 inference(transitivity,[status(thm)],[19530, 19528])).
% 25.26/16.98 tff(19532,plain,
% 25.26/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB121, constB122)) | (~v90(constB121, bitIndex2)) | v100(constB122) | v90(constB122, bitIndex2))),
% 25.26/16.98 inference(quant_inst,[status(thm)],[])).
% 25.26/16.98 tff(19533,plain,
% 25.26/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB121, bitIndex2)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, bitIndex2)),
% 25.26/16.98 inference(modus_ponens,[status(thm)],[19532, 19531])).
% 25.26/16.98 tff(19534,plain,
% 25.26/16.98 ((~v90(constB121, bitIndex2)) | v100(constB122) | v90(constB122, bitIndex2)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19533, 1240, 19425])).
% 25.26/16.98 tff(19535,plain,
% 25.26/16.98 (~v90(constB121, bitIndex2)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19534, 19431, 19527])).
% 25.26/16.98 tff(19536,plain,
% 25.26/16.98 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB121)) | v118(constB121))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB121)) | v118(constB121))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19537,plain,
% 25.26/16.98 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB121)) | v118(constB121))),
% 25.26/16.98 inference(quant_inst,[status(thm)],[])).
% 25.26/16.98 tff(19538,plain,
% 25.26/16.98 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB121)) | v118(constB121)),
% 25.26/16.98 inference(modus_ponens,[status(thm)],[19537, 19536])).
% 25.26/16.98 tff(19539,plain,
% 25.26/16.98 (~v119(constB121)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19538, 969, 19518])).
% 25.26/16.98 tff(19540,assumption,(~v119(constB121)), introduced(assumption)).
% 25.26/16.98 tff(19541,assumption,(~v90(constB121, bitIndex0)), introduced(assumption)).
% 25.26/16.98 tff(19542,assumption,(~v121(constB121)), introduced(assumption)).
% 25.26/16.98 tff(19543,assumption,(~v90(constB121, bitIndex2)), introduced(assumption)).
% 25.26/16.98 tff(19544,plain,
% 25.26/16.98 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex2) | v121(constB121))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex2) | v121(constB121))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19545,plain,
% 25.26/16.98 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex2) | v121(constB121))),
% 25.26/16.98 inference(quant_inst,[status(thm)],[])).
% 25.26/16.98 tff(19546,plain,
% 25.26/16.98 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex2) | v121(constB121)),
% 25.26/16.98 inference(modus_ponens,[status(thm)],[19545, 19544])).
% 25.26/16.98 tff(19547,plain,
% 25.26/16.98 (v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | v121(constB121)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19546, 2145, 19543])).
% 25.26/16.98 tff(19548,plain,
% 25.26/16.98 (~v90(constB121, bitIndex1)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19547, 19541, 19542])).
% 25.26/16.98 tff(19549,plain,
% 25.26/16.98 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | v119(constB121))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | v119(constB121))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19550,plain,
% 25.26/16.98 ((v90(constB121, bitIndex0) | v119(constB121) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2)) <=> (v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | v119(constB121))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19551,plain,
% 25.26/16.98 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB121, bitIndex0) | v119(constB121) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | v119(constB121)))),
% 25.26/16.98 inference(monotonicity,[status(thm)],[19550])).
% 25.26/16.98 tff(19552,plain,
% 25.26/16.98 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB121, bitIndex0) | v119(constB121) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | v119(constB121))),
% 25.26/16.98 inference(transitivity,[status(thm)],[19551, 19549])).
% 25.26/16.98 tff(19553,plain,
% 25.26/16.98 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB121, bitIndex0) | v119(constB121) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2))),
% 25.26/16.98 inference(quant_inst,[status(thm)],[])).
% 25.26/16.98 tff(19554,plain,
% 25.26/16.98 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | v119(constB121)),
% 25.26/16.98 inference(modus_ponens,[status(thm)],[19553, 19552])).
% 25.26/16.98 tff(19555,plain,
% 25.26/16.98 (v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v119(constB121)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19554, 955, 19543])).
% 25.26/16.98 tff(19556,plain,
% 25.26/16.98 ($false),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19555, 19548, 19541, 19540])).
% 25.26/16.98 tff(19557,plain,(v90(constB121, bitIndex0) | v119(constB121) | v90(constB121, bitIndex2) | v121(constB121)), inference(lemma,lemma(discharge,[]))).
% 25.26/16.98 tff(19558,plain,
% 25.26/16.98 (v90(constB121, bitIndex0)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19557, 19539, 19535, 19526])).
% 25.26/16.98 tff(19559,plain,
% 25.26/16.98 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB121)) | v116(constB121))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB121)) | v116(constB121))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19560,plain,
% 25.26/16.98 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB121)) | v116(constB121))),
% 25.26/16.98 inference(quant_inst,[status(thm)],[])).
% 25.26/16.98 tff(19561,plain,
% 25.26/16.98 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB121)) | v116(constB121)),
% 25.26/16.98 inference(modus_ponens,[status(thm)],[19560, 19559])).
% 25.26/16.98 tff(19562,plain,
% 25.26/16.98 (~v122(constB121)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19561, 2652, 19504])).
% 25.26/16.98 tff(19563,plain,
% 25.26/16.98 ((~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)) | v122(constB121)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19412, 2641, 19535])).
% 25.26/16.98 tff(19564,plain,
% 25.26/16.98 (~v90(constB121, bitIndex1)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19563, 19558, 19562])).
% 25.26/16.98 tff(19565,plain,
% 25.26/16.98 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB121, bitIndex0)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | v120(constB121))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB121, bitIndex0)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | v120(constB121))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19566,plain,
% 25.26/16.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB121, bitIndex0)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | v120(constB121))),
% 25.26/16.98 inference(quant_inst,[status(thm)],[])).
% 25.26/16.98 tff(19567,plain,
% 25.26/16.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB121, bitIndex0)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | v120(constB121)),
% 25.26/16.98 inference(modus_ponens,[status(thm)],[19566, 19565])).
% 25.26/16.98 tff(19568,plain,
% 25.26/16.98 ((~v90(constB121, bitIndex0)) | v90(constB121, bitIndex1) | v120(constB121)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19567, 2012, 19535])).
% 25.26/16.98 tff(19569,plain,
% 25.26/16.98 ($false),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19568, 19564, 19558, 19522])).
% 25.26/16.98 tff(19570,plain,(v100(constB122) | v90(constB122, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.26/16.98 tff(19571,plain,
% 25.26/16.98 (v90(constB122, bitIndex2)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19570, 19431])).
% 25.26/16.98 tff(19572,plain,
% 25.26/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB121, bitIndex2) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB121, bitIndex2) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex2)))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19573,plain,
% 25.26/16.98 (((~nextState(constB121, constB122)) | v90(constB121, bitIndex2) | v100(constB122) | (~v90(constB122, bitIndex2))) <=> (v90(constB121, bitIndex2) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex2)))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19574,plain,
% 25.26/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v90(constB121, bitIndex2) | v100(constB122) | (~v90(constB122, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB121, bitIndex2) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex2))))),
% 25.26/16.98 inference(monotonicity,[status(thm)],[19573])).
% 25.26/16.98 tff(19575,plain,
% 25.26/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v90(constB121, bitIndex2) | v100(constB122) | (~v90(constB122, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB121, bitIndex2) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex2)))),
% 25.26/16.98 inference(transitivity,[status(thm)],[19574, 19572])).
% 25.26/16.98 tff(19576,plain,
% 25.26/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v90(constB121, bitIndex2) | v100(constB122) | (~v90(constB122, bitIndex2)))),
% 25.26/16.98 inference(quant_inst,[status(thm)],[])).
% 25.26/16.98 tff(19577,plain,
% 25.26/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB121, bitIndex2) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex2))),
% 25.26/16.98 inference(modus_ponens,[status(thm)],[19576, 19575])).
% 25.26/16.98 tff(19578,plain,
% 25.26/16.98 (v90(constB121, bitIndex2) | v100(constB122) | (~v90(constB122, bitIndex2))),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19577, 892, 19425])).
% 25.26/16.98 tff(19579,plain,
% 25.26/16.98 (v100(constB122) | (~v90(constB122, bitIndex2))),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19578, 19347])).
% 25.26/16.98 tff(19580,plain,
% 25.26/16.98 ($false),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19579, 19571, 19431])).
% 25.26/16.98 tff(19581,plain,(v100(constB122)), inference(lemma,lemma(discharge,[]))).
% 25.26/16.98 tff(19582,plain,
% 25.26/16.98 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122)))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19583,plain,
% 25.26/16.98 ((v90(constB122, bitIndex2) | (~v100(constB122)) | (~v129(constB122, bitIndex2))) <=> (v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122)))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19584,plain,
% 25.26/16.98 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~v100(constB122)) | (~v129(constB122, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122))))),
% 25.26/16.98 inference(monotonicity,[status(thm)],[19583])).
% 25.26/16.98 tff(19585,plain,
% 25.26/16.98 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~v100(constB122)) | (~v129(constB122, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122)))),
% 25.26/16.98 inference(transitivity,[status(thm)],[19584, 19582])).
% 25.26/16.98 tff(19586,plain,
% 25.26/16.98 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~v100(constB122)) | (~v129(constB122, bitIndex2)))),
% 25.26/16.98 inference(quant_inst,[status(thm)],[])).
% 25.26/16.98 tff(19587,plain,
% 25.26/16.98 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122))),
% 25.26/16.98 inference(modus_ponens,[status(thm)],[19586, 19585])).
% 25.26/16.98 tff(19588,plain,
% 25.26/16.98 (v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2))),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19587, 1204, 19581])).
% 25.26/16.98 tff(19589,plain,
% 25.26/16.98 (v90(constB122, bitIndex2)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19588, 19430])).
% 25.26/16.98 tff(19590,plain,
% 25.26/16.98 ((~v1(constB123)) <=> (~v1(constB123))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19591,axiom,(~v1(constB123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_123_1_1')).
% 25.26/16.98 tff(19592,plain,
% 25.26/16.98 (~v1(constB123)),
% 25.26/16.98 inference(modus_ponens,[status(thm)],[19591, 19590])).
% 25.26/16.98 tff(19593,plain,
% 25.26/16.98 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19594,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_122_1')).
% 25.26/16.98 tff(19595,plain,
% 25.26/16.98 (nextState(constB122, constB123)),
% 25.26/16.98 inference(modus_ponens,[status(thm)],[19594, 19593])).
% 25.26/16.98 tff(19596,plain,
% 25.26/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19597,plain,
% 25.26/16.98 (((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123)) <=> (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19598,plain,
% 25.26/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123))))),
% 25.26/16.98 inference(monotonicity,[status(thm)],[19597])).
% 25.26/16.98 tff(19599,plain,
% 25.26/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 25.26/16.98 inference(transitivity,[status(thm)],[19598, 19596])).
% 25.26/16.98 tff(19600,plain,
% 25.26/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))),
% 25.26/16.98 inference(quant_inst,[status(thm)],[])).
% 25.26/16.98 tff(19601,plain,
% 25.26/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123))),
% 25.26/16.98 inference(modus_ponens,[status(thm)],[19600, 19599])).
% 25.26/16.98 tff(19602,plain,
% 25.26/16.98 (~v101(constB123)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19601, 860, 19595, 19592])).
% 25.26/16.98 tff(19603,plain,
% 25.26/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19604,plain,
% 25.26/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))),
% 25.26/16.98 inference(quant_inst,[status(thm)],[])).
% 25.26/16.98 tff(19605,plain,
% 25.26/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123))),
% 25.26/16.98 inference(modus_ponens,[status(thm)],[19604, 19603])).
% 25.26/16.98 tff(19606,plain,
% 25.26/16.98 (v101(constB123) | (~v100(constB123))),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19605, 877, 19595])).
% 25.26/16.98 tff(19607,plain,
% 25.26/16.98 (~v100(constB123)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19606, 19602])).
% 25.26/16.98 tff(19608,plain,
% 25.26/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex2))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19609,plain,
% 25.26/16.98 (((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex2)) | v100(constB123) | v90(constB123, bitIndex2)) <=> ((~v90(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex2))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19610,plain,
% 25.26/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex2)) | v100(constB123) | v90(constB123, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex2)))),
% 25.26/16.98 inference(monotonicity,[status(thm)],[19609])).
% 25.26/16.98 tff(19611,plain,
% 25.26/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex2)) | v100(constB123) | v90(constB123, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex2))),
% 25.26/16.98 inference(transitivity,[status(thm)],[19610, 19608])).
% 25.26/16.98 tff(19612,plain,
% 25.26/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex2)) | v100(constB123) | v90(constB123, bitIndex2))),
% 25.26/16.98 inference(quant_inst,[status(thm)],[])).
% 25.26/16.98 tff(19613,plain,
% 25.26/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex2)),
% 25.26/16.98 inference(modus_ponens,[status(thm)],[19612, 19611])).
% 25.26/16.98 tff(19614,plain,
% 25.26/16.98 ((~v90(constB122, bitIndex2)) | v100(constB123) | v90(constB123, bitIndex2)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19613, 1240, 19595])).
% 25.26/16.98 tff(19615,plain,
% 25.26/16.98 ((~v90(constB122, bitIndex2)) | v90(constB123, bitIndex2)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19614, 19607])).
% 25.26/16.98 tff(19616,plain,
% 25.26/16.98 (v90(constB123, bitIndex2)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19615, 19589])).
% 25.26/16.98 tff(19617,plain,
% 25.26/16.98 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB121)) | (~v130(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB121)) | (~v130(constB121, bitIndex1)))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19618,plain,
% 25.26/16.98 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB121)) | (~v130(constB121, bitIndex1)))),
% 25.26/16.98 inference(quant_inst,[status(thm)],[])).
% 25.26/16.98 tff(19619,plain,
% 25.26/16.98 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB121)) | (~v130(constB121, bitIndex1))),
% 25.26/16.98 inference(modus_ponens,[status(thm)],[19618, 19617])).
% 25.26/16.98 tff(19620,plain,
% 25.26/16.98 (~v130(constB121, bitIndex1)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19619, 2792, 19413])).
% 25.26/16.98 tff(19621,plain,
% 25.26/16.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19622,plain,
% 25.26/16.98 ((v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1))) <=> ((~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19623,plain,
% 25.26/16.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1)))),
% 25.26/16.98 inference(monotonicity,[status(thm)],[19622])).
% 25.26/16.98 tff(19624,plain,
% 25.26/16.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))),
% 25.26/16.98 inference(transitivity,[status(thm)],[19623, 19621])).
% 25.26/16.98 tff(19625,plain,
% 25.26/16.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1)))),
% 25.26/16.98 inference(quant_inst,[status(thm)],[])).
% 25.26/16.98 tff(19626,plain,
% 25.26/16.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1)),
% 25.26/16.98 inference(modus_ponens,[status(thm)],[19625, 19624])).
% 25.26/16.98 tff(19627,plain,
% 25.26/16.98 ((~v127(constB121, bitIndex1)) | v26(constB121)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19626, 1270, 19620])).
% 25.26/16.98 tff(19628,plain,
% 25.26/16.98 (~v127(constB121, bitIndex1)),
% 25.26/16.98 inference(unit_resolution,[status(thm)],[19627, 800])).
% 25.26/16.98 tff(19629,plain,
% 25.26/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1)))),
% 25.26/16.98 inference(rewrite,[status(thm)],[])).
% 25.26/16.98 tff(19630,plain,
% 25.26/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1)))),
% 25.26/16.99 inference(quant_inst,[status(thm)],[])).
% 25.26/16.99 tff(19631,plain,
% 25.26/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1))),
% 25.26/16.99 inference(modus_ponens,[status(thm)],[19630, 19629])).
% 25.26/16.99 tff(19632,plain,
% 25.26/16.99 (v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1))),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19631, 1288, 19425])).
% 25.26/16.99 tff(19633,plain,
% 25.26/16.99 (~v129(constB122, bitIndex1)),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19632, 19628])).
% 25.26/16.99 tff(19634,plain,
% 25.26/16.99 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19635,plain,
% 25.26/16.99 (((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1)) <=> ((~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19636,plain,
% 25.26/16.99 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122))))),
% 25.26/16.99 inference(monotonicity,[status(thm)],[19635])).
% 25.26/16.99 tff(19637,plain,
% 25.26/16.99 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))),
% 25.26/16.99 inference(transitivity,[status(thm)],[19636, 19634])).
% 25.26/16.99 tff(19638,plain,
% 25.26/16.99 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1))),
% 25.26/16.99 inference(quant_inst,[status(thm)],[])).
% 25.26/16.99 tff(19639,plain,
% 25.26/16.99 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122))),
% 25.26/16.99 inference(modus_ponens,[status(thm)],[19638, 19637])).
% 25.26/16.99 tff(19640,plain,
% 25.26/16.99 ((~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1)),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19639, 1303, 19581])).
% 25.26/16.99 tff(19641,plain,
% 25.26/16.99 (~v90(constB122, bitIndex1)),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19640, 19633])).
% 25.26/16.99 tff(19642,plain,
% 25.26/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19643,plain,
% 25.26/16.99 (((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1))) <=> (v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19644,plain,
% 25.26/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1))))),
% 25.26/16.99 inference(monotonicity,[status(thm)],[19643])).
% 25.26/16.99 tff(19645,plain,
% 25.26/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 25.26/16.99 inference(transitivity,[status(thm)],[19644, 19642])).
% 25.26/16.99 tff(19646,plain,
% 25.26/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 25.26/16.99 inference(quant_inst,[status(thm)],[])).
% 25.26/16.99 tff(19647,plain,
% 25.26/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1))),
% 25.26/16.99 inference(modus_ponens,[status(thm)],[19646, 19645])).
% 25.26/16.99 tff(19648,plain,
% 25.26/16.99 (v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1))),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19647, 913, 19595])).
% 25.26/16.99 tff(19649,plain,
% 25.26/16.99 (v90(constB122, bitIndex1) | (~v90(constB123, bitIndex1))),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19648, 19607])).
% 25.26/16.99 tff(19650,plain,
% 25.26/16.99 (~v90(constB123, bitIndex1)),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19649, 19641])).
% 25.26/16.99 tff(19651,plain,
% 25.26/16.99 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB121)) | (~v130(constB121, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB121)) | (~v130(constB121, bitIndex0)))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19652,plain,
% 25.26/16.99 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB121)) | (~v130(constB121, bitIndex0)))),
% 25.26/16.99 inference(quant_inst,[status(thm)],[])).
% 25.26/16.99 tff(19653,plain,
% 25.26/16.99 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB121)) | (~v130(constB121, bitIndex0))),
% 25.26/16.99 inference(modus_ponens,[status(thm)],[19652, 19651])).
% 25.26/16.99 tff(19654,plain,
% 25.26/16.99 (~v130(constB121, bitIndex0)),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19653, 2833, 19413])).
% 25.26/16.99 tff(19655,plain,
% 25.26/16.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB121, bitIndex0)) | v26(constB121) | v130(constB121, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB121, bitIndex0)) | v26(constB121) | v130(constB121, bitIndex0))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19656,plain,
% 25.26/16.99 ((v26(constB121) | v130(constB121, bitIndex0) | (~v127(constB121, bitIndex0))) <=> ((~v127(constB121, bitIndex0)) | v26(constB121) | v130(constB121, bitIndex0))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19657,plain,
% 25.26/16.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB121) | v130(constB121, bitIndex0) | (~v127(constB121, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB121, bitIndex0)) | v26(constB121) | v130(constB121, bitIndex0)))),
% 25.26/16.99 inference(monotonicity,[status(thm)],[19656])).
% 25.26/16.99 tff(19658,plain,
% 25.26/16.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB121) | v130(constB121, bitIndex0) | (~v127(constB121, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB121, bitIndex0)) | v26(constB121) | v130(constB121, bitIndex0))),
% 25.26/16.99 inference(transitivity,[status(thm)],[19657, 19655])).
% 25.26/16.99 tff(19659,plain,
% 25.26/16.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB121) | v130(constB121, bitIndex0) | (~v127(constB121, bitIndex0)))),
% 25.26/16.99 inference(quant_inst,[status(thm)],[])).
% 25.26/16.99 tff(19660,plain,
% 25.26/16.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB121, bitIndex0)) | v26(constB121) | v130(constB121, bitIndex0)),
% 25.26/16.99 inference(modus_ponens,[status(thm)],[19659, 19658])).
% 25.26/16.99 tff(19661,plain,
% 25.26/16.99 ((~v127(constB121, bitIndex0)) | v26(constB121)),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19660, 1341, 19654])).
% 25.26/16.99 tff(19662,plain,
% 25.26/16.99 (~v127(constB121, bitIndex0)),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19661, 800])).
% 25.26/16.99 tff(19663,plain,
% 25.26/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex0) | (~v129(constB122, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex0) | (~v129(constB122, bitIndex0)))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19664,plain,
% 25.26/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex0) | (~v129(constB122, bitIndex0)))),
% 25.26/16.99 inference(quant_inst,[status(thm)],[])).
% 25.26/16.99 tff(19665,plain,
% 25.26/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex0) | (~v129(constB122, bitIndex0))),
% 25.26/16.99 inference(modus_ponens,[status(thm)],[19664, 19663])).
% 25.26/16.99 tff(19666,plain,
% 25.26/16.99 (v127(constB121, bitIndex0) | (~v129(constB122, bitIndex0))),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19665, 1359, 19425])).
% 25.26/16.99 tff(19667,plain,
% 25.26/16.99 (~v129(constB122, bitIndex0)),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19666, 19662])).
% 25.26/16.99 tff(19668,plain,
% 25.26/16.99 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB122, bitIndex0)) | v129(constB122, bitIndex0) | (~v100(constB122)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB122, bitIndex0)) | v129(constB122, bitIndex0) | (~v100(constB122)))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19669,plain,
% 25.26/16.99 (((~v90(constB122, bitIndex0)) | (~v100(constB122)) | v129(constB122, bitIndex0)) <=> ((~v90(constB122, bitIndex0)) | v129(constB122, bitIndex0) | (~v100(constB122)))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19670,plain,
% 25.26/16.99 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB122, bitIndex0)) | (~v100(constB122)) | v129(constB122, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB122, bitIndex0)) | v129(constB122, bitIndex0) | (~v100(constB122))))),
% 25.26/16.99 inference(monotonicity,[status(thm)],[19669])).
% 25.26/16.99 tff(19671,plain,
% 25.26/16.99 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB122, bitIndex0)) | (~v100(constB122)) | v129(constB122, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB122, bitIndex0)) | v129(constB122, bitIndex0) | (~v100(constB122)))),
% 25.26/16.99 inference(transitivity,[status(thm)],[19670, 19668])).
% 25.26/16.99 tff(19672,plain,
% 25.26/16.99 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB122, bitIndex0)) | (~v100(constB122)) | v129(constB122, bitIndex0))),
% 25.26/16.99 inference(quant_inst,[status(thm)],[])).
% 25.26/16.99 tff(19673,plain,
% 25.26/16.99 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB122, bitIndex0)) | v129(constB122, bitIndex0) | (~v100(constB122))),
% 25.26/16.99 inference(modus_ponens,[status(thm)],[19672, 19671])).
% 25.26/16.99 tff(19674,plain,
% 25.26/16.99 ((~v90(constB122, bitIndex0)) | v129(constB122, bitIndex0)),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19673, 1374, 19581])).
% 25.26/16.99 tff(19675,plain,
% 25.26/16.99 (~v90(constB122, bitIndex0)),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19674, 19667])).
% 25.26/16.99 tff(19676,plain,
% 25.26/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex0)))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19677,plain,
% 25.26/16.99 (((~nextState(constB122, constB123)) | v90(constB122, bitIndex0) | v100(constB123) | (~v90(constB123, bitIndex0))) <=> (v90(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex0)))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19678,plain,
% 25.26/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex0) | v100(constB123) | (~v90(constB123, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex0))))),
% 25.26/16.99 inference(monotonicity,[status(thm)],[19677])).
% 25.26/16.99 tff(19679,plain,
% 25.26/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex0) | v100(constB123) | (~v90(constB123, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex0)))),
% 25.26/16.99 inference(transitivity,[status(thm)],[19678, 19676])).
% 25.26/16.99 tff(19680,plain,
% 25.26/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex0) | v100(constB123) | (~v90(constB123, bitIndex0)))),
% 25.26/16.99 inference(quant_inst,[status(thm)],[])).
% 25.26/16.99 tff(19681,plain,
% 25.26/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex0))),
% 25.26/16.99 inference(modus_ponens,[status(thm)],[19680, 19679])).
% 25.26/16.99 tff(19682,plain,
% 25.26/16.99 (v90(constB122, bitIndex0) | v100(constB123) | (~v90(constB123, bitIndex0))),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19681, 934, 19595])).
% 25.26/16.99 tff(19683,plain,
% 25.26/16.99 (v90(constB122, bitIndex0) | (~v90(constB123, bitIndex0))),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19682, 19607])).
% 25.26/16.99 tff(19684,plain,
% 25.26/16.99 (~v90(constB123, bitIndex0)),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19683, 19675])).
% 25.26/16.99 tff(19685,plain,
% 25.26/16.99 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex2)) | v123(constB123))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex2)) | v123(constB123))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19686,plain,
% 25.26/16.99 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex2)) | v123(constB123))),
% 25.26/16.99 inference(quant_inst,[status(thm)],[])).
% 25.26/16.99 tff(19687,plain,
% 25.26/16.99 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex2)) | v123(constB123)),
% 25.26/16.99 inference(modus_ponens,[status(thm)],[19686, 19685])).
% 25.26/16.99 tff(19688,plain,
% 25.26/16.99 (v123(constB123)),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19687, 1401, 19684, 19650, 19616])).
% 25.26/16.99 tff(19689,plain,
% 25.26/16.99 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB123) | (~v123(constB123)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB123) | (~v123(constB123)))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19690,plain,
% 25.26/16.99 (((~v123(constB123)) | v115(constB123)) <=> (v115(constB123) | (~v123(constB123)))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19691,plain,
% 25.26/16.99 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB123)) | v115(constB123))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB123) | (~v123(constB123))))),
% 25.26/16.99 inference(monotonicity,[status(thm)],[19690])).
% 25.26/16.99 tff(19692,plain,
% 25.26/16.99 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB123)) | v115(constB123))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB123) | (~v123(constB123)))),
% 25.26/16.99 inference(transitivity,[status(thm)],[19691, 19689])).
% 25.26/16.99 tff(19693,plain,
% 25.26/16.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB123)) | v115(constB123))),
% 25.26/16.99 inference(quant_inst,[status(thm)],[])).
% 25.26/16.99 tff(19694,plain,
% 25.26/16.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB123) | (~v123(constB123))),
% 25.26/16.99 inference(modus_ponens,[status(thm)],[19693, 19692])).
% 25.26/16.99 tff(19695,plain,
% 25.26/16.99 (v115(constB123)),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19694, 1412, 19688])).
% 25.26/16.99 tff(19696,plain,
% 25.26/16.99 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB123)) | v114(constB123))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB123)) | v114(constB123))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19697,plain,
% 25.26/16.99 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB123)) | v114(constB123))),
% 25.26/16.99 inference(quant_inst,[status(thm)],[])).
% 25.26/16.99 tff(19698,plain,
% 25.26/16.99 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB123)) | v114(constB123)),
% 25.26/16.99 inference(modus_ponens,[status(thm)],[19697, 19696])).
% 25.26/16.99 tff(19699,plain,
% 25.26/16.99 (v114(constB123)),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19698, 1022, 19695])).
% 25.26/16.99 tff(19700,plain,
% 25.26/16.99 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB123) | (~v114(constB123)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB123) | (~v114(constB123)))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19701,plain,
% 25.26/16.99 (((~v114(constB123)) | v113(constB123)) <=> (v113(constB123) | (~v114(constB123)))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19702,plain,
% 25.26/16.99 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB123)) | v113(constB123))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB123) | (~v114(constB123))))),
% 25.26/16.99 inference(monotonicity,[status(thm)],[19701])).
% 25.26/16.99 tff(19703,plain,
% 25.26/16.99 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB123)) | v113(constB123))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB123) | (~v114(constB123)))),
% 25.26/16.99 inference(transitivity,[status(thm)],[19702, 19700])).
% 25.26/16.99 tff(19704,plain,
% 25.26/16.99 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB123)) | v113(constB123))),
% 25.26/16.99 inference(quant_inst,[status(thm)],[])).
% 25.26/16.99 tff(19705,plain,
% 25.26/16.99 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB123) | (~v114(constB123))),
% 25.26/16.99 inference(modus_ponens,[status(thm)],[19704, 19703])).
% 25.26/16.99 tff(19706,plain,
% 25.26/16.99 (v113(constB123)),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19705, 1036, 19699])).
% 25.26/16.99 tff(19707,assumption,(v26(constB123)), introduced(assumption)).
% 25.26/16.99 tff(19708,plain,
% 25.26/16.99 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB123))),
% 25.26/16.99 inference(quant_inst,[status(thm)],[])).
% 25.26/16.99 tff(19709,plain,
% 25.26/16.99 ($false),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19708, 797, 19707])).
% 25.26/16.99 tff(19710,plain,(~v26(constB123)), inference(lemma,lemma(discharge,[]))).
% 25.26/16.99 tff(19711,plain,
% 25.26/16.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | v112(constB123) | (~v113(constB123)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19712,plain,
% 25.26/16.99 ((v26(constB123) | (~v113(constB123)) | v112(constB123)) <=> (v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19713,plain,
% 25.26/16.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | v112(constB123) | (~v113(constB123))))),
% 25.26/16.99 inference(monotonicity,[status(thm)],[19712])).
% 25.26/16.99 tff(19714,plain,
% 25.26/16.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 25.26/16.99 inference(transitivity,[status(thm)],[19713, 19711])).
% 25.26/16.99 tff(19715,plain,
% 25.26/16.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))),
% 25.26/16.99 inference(quant_inst,[status(thm)],[])).
% 25.26/16.99 tff(19716,plain,
% 25.26/16.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123))),
% 25.26/16.99 inference(modus_ponens,[status(thm)],[19715, 19714])).
% 25.26/16.99 tff(19717,plain,
% 25.26/16.99 (v112(constB123) | (~v113(constB123))),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19716, 1050, 19710])).
% 25.26/16.99 tff(19718,plain,
% 25.26/16.99 (v112(constB123)),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19717, 19706])).
% 25.26/16.99 tff(19719,plain,
% 25.26/16.99 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB123) | (~v112(constB123)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v112(constB123)))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19720,plain,
% 25.26/16.99 (((~v112(constB123)) | v108(constB123)) <=> (v108(constB123) | (~v112(constB123)))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19721,plain,
% 25.26/16.99 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB123)) | v108(constB123))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB123) | (~v112(constB123))))),
% 25.26/16.99 inference(monotonicity,[status(thm)],[19720])).
% 25.26/16.99 tff(19722,plain,
% 25.26/16.99 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB123)) | v108(constB123))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v112(constB123)))),
% 25.26/16.99 inference(transitivity,[status(thm)],[19721, 19719])).
% 25.26/16.99 tff(19723,plain,
% 25.26/16.99 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB123)) | v108(constB123))),
% 25.26/16.99 inference(quant_inst,[status(thm)],[])).
% 25.26/16.99 tff(19724,plain,
% 25.26/16.99 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v112(constB123))),
% 25.26/16.99 inference(modus_ponens,[status(thm)],[19723, 19722])).
% 25.26/16.99 tff(19725,plain,
% 25.26/16.99 (v108(constB123)),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19724, 1062, 19718])).
% 25.26/16.99 tff(19726,plain,
% 25.26/16.99 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19727,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_123_1')).
% 25.26/16.99 tff(19728,plain,
% 25.26/16.99 (nextState(constB123, constB124)),
% 25.26/16.99 inference(modus_ponens,[status(thm)],[19727, 19726])).
% 25.26/16.99 tff(19729,plain,
% 25.26/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19730,plain,
% 25.26/16.99 (((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124)) <=> ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19731,plain,
% 25.26/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123))))),
% 25.26/16.99 inference(monotonicity,[status(thm)],[19730])).
% 25.26/16.99 tff(19732,plain,
% 25.26/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 25.26/16.99 inference(transitivity,[status(thm)],[19731, 19729])).
% 25.26/16.99 tff(19733,plain,
% 25.26/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))),
% 25.26/16.99 inference(quant_inst,[status(thm)],[])).
% 25.26/16.99 tff(19734,plain,
% 25.26/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123))),
% 25.26/16.99 inference(modus_ponens,[status(thm)],[19733, 19732])).
% 25.26/16.99 tff(19735,plain,
% 25.26/16.99 (v110(constB124) | (~v108(constB123))),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19734, 1082, 19728])).
% 25.26/16.99 tff(19736,plain,
% 25.26/16.99 (v110(constB124)),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19735, 19725])).
% 25.26/16.99 tff(19737,plain,
% 25.26/16.99 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19738,plain,
% 25.26/16.99 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))),
% 25.26/16.99 inference(quant_inst,[status(thm)],[])).
% 25.26/16.99 tff(19739,plain,
% 25.26/16.99 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124))),
% 25.26/16.99 inference(modus_ponens,[status(thm)],[19738, 19737])).
% 25.26/16.99 tff(19740,plain,
% 25.26/16.99 (~v104(constB124)),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19739, 1100, 19728, 19592])).
% 25.26/16.99 tff(19741,plain,
% 25.26/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19742,plain,
% 25.26/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))),
% 25.26/16.99 inference(quant_inst,[status(thm)],[])).
% 25.26/16.99 tff(19743,plain,
% 25.26/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v102(constB124) | v104(constB124)),
% 25.26/16.99 inference(modus_ponens,[status(thm)],[19742, 19741])).
% 25.26/16.99 tff(19744,plain,
% 25.26/16.99 (v102(constB124) | v104(constB124)),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19743, 1114, 19728])).
% 25.26/16.99 tff(19745,plain,
% 25.26/16.99 (v102(constB124)),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19744, 19740])).
% 25.26/16.99 tff(19746,plain,
% 25.26/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19747,plain,
% 25.26/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))),
% 25.26/16.99 inference(quant_inst,[status(thm)],[])).
% 25.26/16.99 tff(19748,plain,
% 25.26/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124))),
% 25.26/16.99 inference(modus_ponens,[status(thm)],[19747, 19746])).
% 25.26/16.99 tff(19749,plain,
% 25.26/16.99 (v101(constB124) | (~v102(constB124))),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19748, 1129, 19728, 207])).
% 25.26/16.99 tff(19750,plain,
% 25.26/16.99 (v101(constB124)),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19749, 19745])).
% 25.26/16.99 tff(19751,plain,
% 25.26/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19752,plain,
% 25.26/16.99 (((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124)) <=> ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19753,plain,
% 25.26/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124))))),
% 25.26/16.99 inference(monotonicity,[status(thm)],[19752])).
% 25.26/16.99 tff(19754,plain,
% 25.26/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 25.26/16.99 inference(transitivity,[status(thm)],[19753, 19751])).
% 25.26/16.99 tff(19755,plain,
% 25.26/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))),
% 25.26/16.99 inference(quant_inst,[status(thm)],[])).
% 25.26/16.99 tff(19756,plain,
% 25.26/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 25.26/16.99 inference(modus_ponens,[status(thm)],[19755, 19754])).
% 25.26/16.99 tff(19757,plain,
% 25.26/16.99 (v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19756, 1144, 19728])).
% 25.26/16.99 tff(19758,plain,
% 25.26/16.99 (v100(constB124) | (~v110(constB124))),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19757, 19750])).
% 25.26/16.99 tff(19759,plain,
% 25.26/16.99 (v100(constB124)),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19758, 19736])).
% 25.26/16.99 tff(19760,plain,
% 25.26/16.99 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB123)) | v130(constB123, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB123)) | v130(constB123, bitIndex2))),
% 25.26/16.99 inference(rewrite,[status(thm)],[])).
% 25.26/16.99 tff(19761,plain,
% 25.26/16.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB123)) | v130(constB123, bitIndex2))),
% 25.26/16.99 inference(quant_inst,[status(thm)],[])).
% 25.26/16.99 tff(19762,plain,
% 25.26/16.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB123)) | v130(constB123, bitIndex2)),
% 25.26/16.99 inference(modus_ponens,[status(thm)],[19761, 19760])).
% 25.26/16.99 tff(19763,plain,
% 25.26/16.99 (v130(constB123, bitIndex2)),
% 25.26/16.99 inference(unit_resolution,[status(thm)],[19762, 1483, 19688])).
% 25.26/16.99 tff(19764,plain,
% 25.26/16.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB123) | (~v130(constB123, bitIndex2)) | v127(constB123, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB123) | (~v130(constB123, bitIndex2)) | v127(constB123, bitIndex2))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19765,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB123) | (~v130(constB123, bitIndex2)) | v127(constB123, bitIndex2))),
% 25.26/17.00 inference(quant_inst,[status(thm)],[])).
% 25.26/17.00 tff(19766,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB123) | (~v130(constB123, bitIndex2)) | v127(constB123, bitIndex2)),
% 25.26/17.00 inference(modus_ponens,[status(thm)],[19765, 19764])).
% 25.26/17.00 tff(19767,plain,
% 25.26/17.00 ((~v130(constB123, bitIndex2)) | v127(constB123, bitIndex2)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19766, 1174, 19710])).
% 25.26/17.00 tff(19768,plain,
% 25.26/17.00 (v127(constB123, bitIndex2)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19767, 19763])).
% 25.26/17.00 tff(19769,plain,
% 25.26/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex2)) | v129(constB124, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex2)) | v129(constB124, bitIndex2))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19770,plain,
% 25.26/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex2)) | v129(constB124, bitIndex2))),
% 25.26/17.00 inference(quant_inst,[status(thm)],[])).
% 25.26/17.00 tff(19771,plain,
% 25.26/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex2)) | v129(constB124, bitIndex2)),
% 25.26/17.00 inference(modus_ponens,[status(thm)],[19770, 19769])).
% 25.26/17.00 tff(19772,plain,
% 25.26/17.00 ((~v127(constB123, bitIndex2)) | v129(constB124, bitIndex2)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19771, 1189, 19728])).
% 25.26/17.00 tff(19773,plain,
% 25.26/17.00 (v129(constB124, bitIndex2)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19772, 19768])).
% 25.26/17.00 tff(19774,plain,
% 25.26/17.00 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124)))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19775,plain,
% 25.26/17.00 ((v90(constB124, bitIndex2) | (~v100(constB124)) | (~v129(constB124, bitIndex2))) <=> (v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124)))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19776,plain,
% 25.26/17.00 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~v100(constB124)) | (~v129(constB124, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124))))),
% 25.26/17.00 inference(monotonicity,[status(thm)],[19775])).
% 25.26/17.00 tff(19777,plain,
% 25.26/17.00 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~v100(constB124)) | (~v129(constB124, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124)))),
% 25.26/17.00 inference(transitivity,[status(thm)],[19776, 19774])).
% 25.26/17.00 tff(19778,plain,
% 25.26/17.00 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~v100(constB124)) | (~v129(constB124, bitIndex2)))),
% 25.26/17.00 inference(quant_inst,[status(thm)],[])).
% 25.26/17.00 tff(19779,plain,
% 25.26/17.00 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124))),
% 25.26/17.00 inference(modus_ponens,[status(thm)],[19778, 19777])).
% 25.26/17.00 tff(19780,plain,
% 25.26/17.00 (v90(constB124, bitIndex2) | (~v100(constB124))),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19779, 1204, 19773])).
% 25.26/17.00 tff(19781,plain,
% 25.26/17.00 (v90(constB124, bitIndex2)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19780, 19759])).
% 25.26/17.00 tff(19782,plain,
% 25.26/17.00 ((~v1(constB125)) <=> (~v1(constB125))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19783,axiom,(~v1(constB125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_125_1_1')).
% 25.26/17.00 tff(19784,plain,
% 25.26/17.00 (~v1(constB125)),
% 25.26/17.00 inference(modus_ponens,[status(thm)],[19783, 19782])).
% 25.26/17.00 tff(19785,plain,
% 25.26/17.00 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19786,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_124_1')).
% 25.26/17.00 tff(19787,plain,
% 25.26/17.00 (nextState(constB124, constB125)),
% 25.26/17.00 inference(modus_ponens,[status(thm)],[19786, 19785])).
% 25.26/17.00 tff(19788,plain,
% 25.26/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19789,plain,
% 25.26/17.00 (((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125)) <=> (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19790,plain,
% 25.26/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125))))),
% 25.26/17.00 inference(monotonicity,[status(thm)],[19789])).
% 25.26/17.00 tff(19791,plain,
% 25.26/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 25.26/17.00 inference(transitivity,[status(thm)],[19790, 19788])).
% 25.26/17.00 tff(19792,plain,
% 25.26/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))),
% 25.26/17.00 inference(quant_inst,[status(thm)],[])).
% 25.26/17.00 tff(19793,plain,
% 25.26/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125))),
% 25.26/17.00 inference(modus_ponens,[status(thm)],[19792, 19791])).
% 25.26/17.00 tff(19794,plain,
% 25.26/17.00 (~v101(constB125)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19793, 860, 19787, 19784])).
% 25.26/17.00 tff(19795,plain,
% 25.26/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19796,plain,
% 25.26/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))),
% 25.26/17.00 inference(quant_inst,[status(thm)],[])).
% 25.26/17.00 tff(19797,plain,
% 25.26/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125))),
% 25.26/17.00 inference(modus_ponens,[status(thm)],[19796, 19795])).
% 25.26/17.00 tff(19798,plain,
% 25.26/17.00 (v101(constB125) | (~v100(constB125))),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19797, 877, 19787])).
% 25.26/17.00 tff(19799,plain,
% 25.26/17.00 (~v100(constB125)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19798, 19794])).
% 25.26/17.00 tff(19800,plain,
% 25.26/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex2))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19801,plain,
% 25.26/17.00 (((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex2)) | v100(constB125) | v90(constB125, bitIndex2)) <=> ((~v90(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex2))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19802,plain,
% 25.26/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex2)) | v100(constB125) | v90(constB125, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex2)))),
% 25.26/17.00 inference(monotonicity,[status(thm)],[19801])).
% 25.26/17.00 tff(19803,plain,
% 25.26/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex2)) | v100(constB125) | v90(constB125, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex2))),
% 25.26/17.00 inference(transitivity,[status(thm)],[19802, 19800])).
% 25.26/17.00 tff(19804,plain,
% 25.26/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex2)) | v100(constB125) | v90(constB125, bitIndex2))),
% 25.26/17.00 inference(quant_inst,[status(thm)],[])).
% 25.26/17.00 tff(19805,plain,
% 25.26/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex2)),
% 25.26/17.00 inference(modus_ponens,[status(thm)],[19804, 19803])).
% 25.26/17.00 tff(19806,plain,
% 25.26/17.00 ((~v90(constB124, bitIndex2)) | v100(constB125) | v90(constB125, bitIndex2)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19805, 1240, 19787])).
% 25.26/17.00 tff(19807,plain,
% 25.26/17.00 ((~v90(constB124, bitIndex2)) | v90(constB125, bitIndex2)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19806, 19799])).
% 25.26/17.00 tff(19808,plain,
% 25.26/17.00 (v90(constB125, bitIndex2)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19807, 19781])).
% 25.26/17.00 tff(19809,plain,
% 25.26/17.00 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB125)) | (~v90(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB125)) | (~v90(constB125, bitIndex2)))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19810,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB125)) | (~v90(constB125, bitIndex2)))),
% 25.26/17.00 inference(quant_inst,[status(thm)],[])).
% 25.26/17.00 tff(19811,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB125)) | (~v90(constB125, bitIndex2))),
% 25.26/17.00 inference(modus_ponens,[status(thm)],[19810, 19809])).
% 25.26/17.00 tff(19812,plain,
% 25.26/17.00 (~v122(constB125)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19811, 1740, 19808])).
% 25.26/17.00 tff(19813,plain,
% 25.26/17.00 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB125)) | (~v90(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB125)) | (~v90(constB125, bitIndex2)))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19814,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB125)) | (~v90(constB125, bitIndex2)))),
% 25.26/17.00 inference(quant_inst,[status(thm)],[])).
% 25.26/17.00 tff(19815,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB125)) | (~v90(constB125, bitIndex2))),
% 25.26/17.00 inference(modus_ponens,[status(thm)],[19814, 19813])).
% 25.26/17.00 tff(19816,plain,
% 25.26/17.00 (~v121(constB125)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19815, 1729, 19808])).
% 25.26/17.00 tff(19817,plain,
% 25.26/17.00 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB123)) | v130(constB123, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB123)) | v130(constB123, bitIndex1))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19818,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB123)) | v130(constB123, bitIndex1))),
% 25.26/17.00 inference(quant_inst,[status(thm)],[])).
% 25.26/17.00 tff(19819,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB123)) | v130(constB123, bitIndex1)),
% 25.26/17.00 inference(modus_ponens,[status(thm)],[19818, 19817])).
% 25.26/17.00 tff(19820,plain,
% 25.26/17.00 (v130(constB123, bitIndex1)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19819, 1539, 19688])).
% 25.26/17.00 tff(19821,plain,
% 25.26/17.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19822,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1))),
% 25.26/17.00 inference(quant_inst,[status(thm)],[])).
% 25.26/17.00 tff(19823,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1)),
% 25.26/17.00 inference(modus_ponens,[status(thm)],[19822, 19821])).
% 25.26/17.00 tff(19824,plain,
% 25.26/17.00 ((~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19823, 1553, 19710])).
% 25.26/17.00 tff(19825,plain,
% 25.26/17.00 (v127(constB123, bitIndex1)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19824, 19820])).
% 25.26/17.00 tff(19826,plain,
% 25.26/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19827,plain,
% 25.26/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1))),
% 25.26/17.00 inference(quant_inst,[status(thm)],[])).
% 25.26/17.00 tff(19828,plain,
% 25.26/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1)),
% 25.26/17.00 inference(modus_ponens,[status(thm)],[19827, 19826])).
% 25.26/17.00 tff(19829,plain,
% 25.26/17.00 ((~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19828, 1568, 19728])).
% 25.26/17.00 tff(19830,plain,
% 25.26/17.00 (v129(constB124, bitIndex1)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19829, 19825])).
% 25.26/17.00 tff(19831,plain,
% 25.26/17.00 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19832,plain,
% 25.26/17.00 ((v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1))) <=> (v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19833,plain,
% 25.26/17.00 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124))))),
% 25.26/17.00 inference(monotonicity,[status(thm)],[19832])).
% 25.26/17.00 tff(19834,plain,
% 25.26/17.00 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))),
% 25.26/17.00 inference(transitivity,[status(thm)],[19833, 19831])).
% 25.26/17.00 tff(19835,plain,
% 25.26/17.00 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1)))),
% 25.26/17.00 inference(quant_inst,[status(thm)],[])).
% 25.26/17.00 tff(19836,plain,
% 25.26/17.00 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124))),
% 25.26/17.00 inference(modus_ponens,[status(thm)],[19835, 19834])).
% 25.26/17.00 tff(19837,plain,
% 25.26/17.00 (v90(constB124, bitIndex1) | (~v100(constB124))),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19836, 1583, 19830])).
% 25.26/17.00 tff(19838,plain,
% 25.26/17.00 (v90(constB124, bitIndex1)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19837, 19759])).
% 25.26/17.00 tff(19839,plain,
% 25.26/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19840,plain,
% 25.26/17.00 (((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1)) <=> ((~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19841,plain,
% 25.26/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1)))),
% 25.26/17.00 inference(monotonicity,[status(thm)],[19840])).
% 25.26/17.00 tff(19842,plain,
% 25.26/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))),
% 25.26/17.00 inference(transitivity,[status(thm)],[19841, 19839])).
% 25.26/17.00 tff(19843,plain,
% 25.26/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1))),
% 25.26/17.00 inference(quant_inst,[status(thm)],[])).
% 25.26/17.00 tff(19844,plain,
% 25.26/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1)),
% 25.26/17.00 inference(modus_ponens,[status(thm)],[19843, 19842])).
% 25.26/17.00 tff(19845,plain,
% 25.26/17.00 ((~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19844, 1601, 19787])).
% 25.26/17.00 tff(19846,plain,
% 25.26/17.00 ((~v90(constB124, bitIndex1)) | v90(constB125, bitIndex1)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19845, 19799])).
% 25.26/17.00 tff(19847,plain,
% 25.26/17.00 (v90(constB125, bitIndex1)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19846, 19838])).
% 25.26/17.00 tff(19848,plain,
% 25.26/17.00 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB125)) | (~v90(constB125, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB125)) | (~v90(constB125, bitIndex1)))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19849,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB125)) | (~v90(constB125, bitIndex1)))),
% 25.26/17.00 inference(quant_inst,[status(thm)],[])).
% 25.26/17.00 tff(19850,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB125)) | (~v90(constB125, bitIndex1))),
% 25.26/17.00 inference(modus_ponens,[status(thm)],[19849, 19848])).
% 25.26/17.00 tff(19851,plain,
% 25.26/17.00 (~v124(constB125)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19850, 1784, 19847])).
% 25.26/17.00 tff(19852,plain,
% 25.26/17.00 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB125)) | (~v90(constB125, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB125)) | (~v90(constB125, bitIndex1)))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19853,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB125)) | (~v90(constB125, bitIndex1)))),
% 25.26/17.00 inference(quant_inst,[status(thm)],[])).
% 25.26/17.00 tff(19854,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB125)) | (~v90(constB125, bitIndex1))),
% 25.26/17.00 inference(modus_ponens,[status(thm)],[19853, 19852])).
% 25.26/17.00 tff(19855,plain,
% 25.26/17.00 (~v120(constB125)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19854, 1762, 19847])).
% 25.26/17.00 tff(19856,plain,
% 25.26/17.00 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB125)) | (~v90(constB125, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB125)) | (~v90(constB125, bitIndex1)))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19857,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB125)) | (~v90(constB125, bitIndex1)))),
% 25.26/17.00 inference(quant_inst,[status(thm)],[])).
% 25.26/17.00 tff(19858,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB125)) | (~v90(constB125, bitIndex1))),
% 25.26/17.00 inference(modus_ponens,[status(thm)],[19857, 19856])).
% 25.26/17.00 tff(19859,plain,
% 25.26/17.00 (~v123(constB125)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19858, 1773, 19847])).
% 25.26/17.00 tff(19860,plain,
% 25.26/17.00 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB125)) | (~v90(constB125, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB125)) | (~v90(constB125, bitIndex1)))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19861,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB125)) | (~v90(constB125, bitIndex1)))),
% 25.26/17.00 inference(quant_inst,[status(thm)],[])).
% 25.26/17.00 tff(19862,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB125)) | (~v90(constB125, bitIndex1))),
% 25.26/17.00 inference(modus_ponens,[status(thm)],[19861, 19860])).
% 25.26/17.00 tff(19863,plain,
% 25.26/17.00 (~v119(constB125)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19862, 1751, 19847])).
% 25.26/17.00 tff(19864,plain,
% 25.26/17.00 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex1)))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19865,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex1)))),
% 25.26/17.00 inference(quant_inst,[status(thm)],[])).
% 25.26/17.00 tff(19866,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex1))),
% 25.26/17.00 inference(modus_ponens,[status(thm)],[19865, 19864])).
% 25.26/17.00 tff(19867,plain,
% 25.26/17.00 (~v130(constB125, bitIndex1)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19866, 1887, 19863, 19859, 19855, 19851, 19816, 19812])).
% 25.26/17.00 tff(19868,assumption,(v26(constB125)), introduced(assumption)).
% 25.26/17.00 tff(19869,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB125))),
% 25.26/17.00 inference(quant_inst,[status(thm)],[])).
% 25.26/17.00 tff(19870,plain,
% 25.26/17.00 ($false),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19869, 797, 19868])).
% 25.26/17.00 tff(19871,plain,(~v26(constB125)), inference(lemma,lemma(discharge,[]))).
% 25.26/17.00 tff(19872,plain,
% 25.26/17.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB125, bitIndex1)) | v26(constB125) | v130(constB125, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB125, bitIndex1)) | v26(constB125) | v130(constB125, bitIndex1))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19873,plain,
% 25.26/17.00 ((v26(constB125) | v130(constB125, bitIndex1) | (~v127(constB125, bitIndex1))) <=> ((~v127(constB125, bitIndex1)) | v26(constB125) | v130(constB125, bitIndex1))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19874,plain,
% 25.26/17.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB125) | v130(constB125, bitIndex1) | (~v127(constB125, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB125, bitIndex1)) | v26(constB125) | v130(constB125, bitIndex1)))),
% 25.26/17.00 inference(monotonicity,[status(thm)],[19873])).
% 25.26/17.00 tff(19875,plain,
% 25.26/17.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB125) | v130(constB125, bitIndex1) | (~v127(constB125, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB125, bitIndex1)) | v26(constB125) | v130(constB125, bitIndex1))),
% 25.26/17.00 inference(transitivity,[status(thm)],[19874, 19872])).
% 25.26/17.00 tff(19876,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB125) | v130(constB125, bitIndex1) | (~v127(constB125, bitIndex1)))),
% 25.26/17.00 inference(quant_inst,[status(thm)],[])).
% 25.26/17.00 tff(19877,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB125, bitIndex1)) | v26(constB125) | v130(constB125, bitIndex1)),
% 25.26/17.00 inference(modus_ponens,[status(thm)],[19876, 19875])).
% 25.26/17.00 tff(19878,plain,
% 25.26/17.00 ((~v127(constB125, bitIndex1)) | v130(constB125, bitIndex1)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19877, 1270, 19871])).
% 25.26/17.00 tff(19879,plain,
% 25.26/17.00 (~v127(constB125, bitIndex1)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19878, 19867])).
% 25.26/17.00 tff(19880,plain,
% 25.26/17.00 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19881,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_125_1')).
% 25.26/17.00 tff(19882,plain,
% 25.26/17.00 (nextState(constB125, constB126)),
% 25.26/17.00 inference(modus_ponens,[status(thm)],[19881, 19880])).
% 25.26/17.00 tff(19883,plain,
% 25.26/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB125, constB126)) | v127(constB125, bitIndex1) | (~v129(constB126, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB125, constB126)) | v127(constB125, bitIndex1) | (~v129(constB126, bitIndex1)))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19884,plain,
% 25.26/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB125, constB126)) | v127(constB125, bitIndex1) | (~v129(constB126, bitIndex1)))),
% 25.26/17.00 inference(quant_inst,[status(thm)],[])).
% 25.26/17.00 tff(19885,plain,
% 25.26/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB125, constB126)) | v127(constB125, bitIndex1) | (~v129(constB126, bitIndex1))),
% 25.26/17.00 inference(modus_ponens,[status(thm)],[19884, 19883])).
% 25.26/17.00 tff(19886,plain,
% 25.26/17.00 (v127(constB125, bitIndex1) | (~v129(constB126, bitIndex1))),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19885, 1288, 19882])).
% 25.26/17.00 tff(19887,plain,
% 25.26/17.00 (~v129(constB126, bitIndex1)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19886, 19879])).
% 25.26/17.00 tff(19888,assumption,(~v113(constB125)), introduced(assumption)).
% 25.26/17.00 tff(19889,plain,
% 25.26/17.00 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB125) | (~v125(constB125)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB125) | (~v125(constB125)))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19890,plain,
% 25.26/17.00 (((~v125(constB125)) | v113(constB125)) <=> (v113(constB125) | (~v125(constB125)))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19891,plain,
% 25.26/17.00 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB125)) | v113(constB125))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB125) | (~v125(constB125))))),
% 25.26/17.00 inference(monotonicity,[status(thm)],[19890])).
% 25.26/17.00 tff(19892,plain,
% 25.26/17.00 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB125)) | v113(constB125))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB125) | (~v125(constB125)))),
% 25.26/17.00 inference(transitivity,[status(thm)],[19891, 19889])).
% 25.26/17.00 tff(19893,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB125)) | v113(constB125))),
% 25.26/17.00 inference(quant_inst,[status(thm)],[])).
% 25.26/17.00 tff(19894,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB125) | (~v125(constB125))),
% 25.26/17.00 inference(modus_ponens,[status(thm)],[19893, 19892])).
% 25.26/17.00 tff(19895,plain,
% 25.26/17.00 (~v125(constB125)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19894, 1672, 19888])).
% 25.26/17.00 tff(19896,plain,
% 25.26/17.00 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB125) | (~v114(constB125)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB125) | (~v114(constB125)))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19897,plain,
% 25.26/17.00 (((~v114(constB125)) | v113(constB125)) <=> (v113(constB125) | (~v114(constB125)))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19898,plain,
% 25.26/17.00 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB125)) | v113(constB125))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB125) | (~v114(constB125))))),
% 25.26/17.00 inference(monotonicity,[status(thm)],[19897])).
% 25.26/17.00 tff(19899,plain,
% 25.26/17.00 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB125)) | v113(constB125))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB125) | (~v114(constB125)))),
% 25.26/17.00 inference(transitivity,[status(thm)],[19898, 19896])).
% 25.26/17.00 tff(19900,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB125)) | v113(constB125))),
% 25.26/17.00 inference(quant_inst,[status(thm)],[])).
% 25.26/17.00 tff(19901,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB125) | (~v114(constB125))),
% 25.26/17.00 inference(modus_ponens,[status(thm)],[19900, 19899])).
% 25.26/17.00 tff(19902,plain,
% 25.26/17.00 (~v114(constB125)),
% 25.26/17.00 inference(unit_resolution,[status(thm)],[19901, 1036, 19888])).
% 25.26/17.00 tff(19903,plain,
% 25.26/17.00 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB125) | (~v115(constB125)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB125) | (~v115(constB125)))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19904,plain,
% 25.26/17.00 (((~v115(constB125)) | v114(constB125)) <=> (v114(constB125) | (~v115(constB125)))),
% 25.26/17.00 inference(rewrite,[status(thm)],[])).
% 25.26/17.00 tff(19905,plain,
% 25.26/17.00 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB125)) | v114(constB125))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB125) | (~v115(constB125))))),
% 25.26/17.00 inference(monotonicity,[status(thm)],[19904])).
% 25.26/17.00 tff(19906,plain,
% 25.26/17.00 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB125)) | v114(constB125))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB125) | (~v115(constB125)))),
% 25.26/17.00 inference(transitivity,[status(thm)],[19905, 19903])).
% 25.26/17.00 tff(19907,plain,
% 25.26/17.00 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB125)) | v114(constB125))),
% 25.26/17.00 inference(quant_inst,[status(thm)],[])).
% 25.26/17.01 tff(19908,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB125) | (~v115(constB125))),
% 25.26/17.01 inference(modus_ponens,[status(thm)],[19907, 19906])).
% 25.26/17.01 tff(19909,plain,
% 25.26/17.01 (~v115(constB125)),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[19908, 1022, 19902])).
% 25.26/17.01 tff(19910,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB125) | (~v116(constB125)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB125) | (~v116(constB125)))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(19911,plain,
% 25.26/17.01 (((~v116(constB125)) | v115(constB125)) <=> (v115(constB125) | (~v116(constB125)))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(19912,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB125)) | v115(constB125))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB125) | (~v116(constB125))))),
% 25.26/17.01 inference(monotonicity,[status(thm)],[19911])).
% 25.26/17.01 tff(19913,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB125)) | v115(constB125))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB125) | (~v116(constB125)))),
% 25.26/17.01 inference(transitivity,[status(thm)],[19912, 19910])).
% 25.26/17.01 tff(19914,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB125)) | v115(constB125))),
% 25.26/17.01 inference(quant_inst,[status(thm)],[])).
% 25.26/17.01 tff(19915,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB125) | (~v116(constB125))),
% 25.26/17.01 inference(modus_ponens,[status(thm)],[19914, 19913])).
% 25.26/17.01 tff(19916,plain,
% 25.26/17.01 (~v116(constB125)),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[19915, 1008, 19909])).
% 25.26/17.01 tff(19917,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB125) | (~v117(constB125)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB125) | (~v117(constB125)))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(19918,plain,
% 25.26/17.01 (((~v117(constB125)) | v116(constB125)) <=> (v116(constB125) | (~v117(constB125)))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(19919,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB125)) | v116(constB125))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB125) | (~v117(constB125))))),
% 25.26/17.01 inference(monotonicity,[status(thm)],[19918])).
% 25.26/17.01 tff(19920,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB125)) | v116(constB125))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB125) | (~v117(constB125)))),
% 25.26/17.01 inference(transitivity,[status(thm)],[19919, 19917])).
% 25.26/17.01 tff(19921,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB125)) | v116(constB125))),
% 25.26/17.01 inference(quant_inst,[status(thm)],[])).
% 25.26/17.01 tff(19922,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB125) | (~v117(constB125))),
% 25.26/17.01 inference(modus_ponens,[status(thm)],[19921, 19920])).
% 25.26/17.01 tff(19923,plain,
% 25.26/17.01 (~v117(constB125)),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[19922, 994, 19916])).
% 25.26/17.01 tff(19924,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB125) | (~v121(constB125)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB125) | (~v121(constB125)))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(19925,plain,
% 25.26/17.01 (((~v121(constB125)) | v117(constB125)) <=> (v117(constB125) | (~v121(constB125)))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(19926,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB125)) | v117(constB125))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB125) | (~v121(constB125))))),
% 25.26/17.01 inference(monotonicity,[status(thm)],[19925])).
% 25.26/17.01 tff(19927,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB125)) | v117(constB125))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB125) | (~v121(constB125)))),
% 25.26/17.01 inference(transitivity,[status(thm)],[19926, 19924])).
% 25.26/17.01 tff(19928,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB125)) | v117(constB125))),
% 25.26/17.01 inference(quant_inst,[status(thm)],[])).
% 25.26/17.01 tff(19929,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB125) | (~v121(constB125))),
% 25.26/17.01 inference(modus_ponens,[status(thm)],[19928, 19927])).
% 25.26/17.01 tff(19930,plain,
% 25.26/17.01 (~v121(constB125)),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[19929, 2102, 19923])).
% 25.26/17.01 tff(19931,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB125) | (~v123(constB125)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB125) | (~v123(constB125)))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(19932,plain,
% 25.26/17.01 (((~v123(constB125)) | v115(constB125)) <=> (v115(constB125) | (~v123(constB125)))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(19933,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB125)) | v115(constB125))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB125) | (~v123(constB125))))),
% 25.26/17.01 inference(monotonicity,[status(thm)],[19932])).
% 25.26/17.01 tff(19934,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB125)) | v115(constB125))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB125) | (~v123(constB125)))),
% 25.26/17.01 inference(transitivity,[status(thm)],[19933, 19931])).
% 25.26/17.01 tff(19935,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB125)) | v115(constB125))),
% 25.26/17.01 inference(quant_inst,[status(thm)],[])).
% 25.26/17.01 tff(19936,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB125) | (~v123(constB125))),
% 25.26/17.01 inference(modus_ponens,[status(thm)],[19935, 19934])).
% 25.26/17.01 tff(19937,plain,
% 25.26/17.01 (~v123(constB125)),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[19936, 1412, 19909])).
% 25.26/17.01 tff(19938,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB125) | (~v118(constB125)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB125) | (~v118(constB125)))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(19939,plain,
% 25.26/17.01 (((~v118(constB125)) | v117(constB125)) <=> (v117(constB125) | (~v118(constB125)))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(19940,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB125)) | v117(constB125))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB125) | (~v118(constB125))))),
% 25.26/17.01 inference(monotonicity,[status(thm)],[19939])).
% 25.26/17.01 tff(19941,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB125)) | v117(constB125))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB125) | (~v118(constB125)))),
% 25.26/17.01 inference(transitivity,[status(thm)],[19940, 19938])).
% 25.26/17.01 tff(19942,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB125)) | v117(constB125))),
% 25.26/17.01 inference(quant_inst,[status(thm)],[])).
% 25.26/17.01 tff(19943,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB125) | (~v118(constB125))),
% 25.26/17.01 inference(modus_ponens,[status(thm)],[19942, 19941])).
% 25.26/17.01 tff(19944,plain,
% 25.26/17.01 (~v118(constB125)),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[19943, 980, 19923])).
% 25.26/17.01 tff(19945,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB125) | (~v120(constB125)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB125) | (~v120(constB125)))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(19946,plain,
% 25.26/17.01 (((~v120(constB125)) | v118(constB125)) <=> (v118(constB125) | (~v120(constB125)))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(19947,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB125)) | v118(constB125))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB125) | (~v120(constB125))))),
% 25.26/17.01 inference(monotonicity,[status(thm)],[19946])).
% 25.26/17.01 tff(19948,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB125)) | v118(constB125))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB125) | (~v120(constB125)))),
% 25.26/17.01 inference(transitivity,[status(thm)],[19947, 19945])).
% 25.26/17.01 tff(19949,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB125)) | v118(constB125))),
% 25.26/17.01 inference(quant_inst,[status(thm)],[])).
% 25.26/17.01 tff(19950,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB125) | (~v120(constB125))),
% 25.26/17.01 inference(modus_ponens,[status(thm)],[19949, 19948])).
% 25.26/17.01 tff(19951,plain,
% 25.26/17.01 (~v120(constB125)),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[19950, 2210, 19944])).
% 25.26/17.01 tff(19952,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB125) | (~v124(constB125)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB125) | (~v124(constB125)))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(19953,plain,
% 25.26/17.01 (((~v124(constB125)) | v114(constB125)) <=> (v114(constB125) | (~v124(constB125)))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(19954,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB125)) | v114(constB125))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB125) | (~v124(constB125))))),
% 25.26/17.01 inference(monotonicity,[status(thm)],[19953])).
% 25.26/17.01 tff(19955,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB125)) | v114(constB125))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB125) | (~v124(constB125)))),
% 25.26/17.01 inference(transitivity,[status(thm)],[19954, 19952])).
% 25.26/17.01 tff(19956,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB125)) | v114(constB125))),
% 25.26/17.01 inference(quant_inst,[status(thm)],[])).
% 25.26/17.01 tff(19957,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB125) | (~v124(constB125))),
% 25.26/17.01 inference(modus_ponens,[status(thm)],[19956, 19955])).
% 25.26/17.01 tff(19958,plain,
% 25.26/17.01 (~v124(constB125)),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[19957, 4721, 19902])).
% 25.26/17.01 tff(19959,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB125) | (~v119(constB125)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB125) | (~v119(constB125)))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(19960,plain,
% 25.26/17.01 (((~v119(constB125)) | v118(constB125)) <=> (v118(constB125) | (~v119(constB125)))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(19961,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB125)) | v118(constB125))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB125) | (~v119(constB125))))),
% 25.26/17.01 inference(monotonicity,[status(thm)],[19960])).
% 25.26/17.01 tff(19962,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB125)) | v118(constB125))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB125) | (~v119(constB125)))),
% 25.26/17.01 inference(transitivity,[status(thm)],[19961, 19959])).
% 25.26/17.01 tff(19963,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB125)) | v118(constB125))),
% 25.26/17.01 inference(quant_inst,[status(thm)],[])).
% 25.26/17.01 tff(19964,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB125) | (~v119(constB125))),
% 25.26/17.01 inference(modus_ponens,[status(thm)],[19963, 19962])).
% 25.26/17.01 tff(19965,plain,
% 25.26/17.01 (~v119(constB125)),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[19964, 969, 19944])).
% 25.26/17.01 tff(19966,assumption,(~v90(constB125, bitIndex1)), introduced(assumption)).
% 25.26/17.01 tff(19967,assumption,(~v123(constB125)), introduced(assumption)).
% 25.26/17.01 tff(19968,assumption,(~v119(constB125)), introduced(assumption)).
% 25.26/17.01 tff(19969,assumption,(~v90(constB125, bitIndex0)), introduced(assumption)).
% 25.26/17.01 tff(19970,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | v123(constB125))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | v123(constB125))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(19971,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | v123(constB125))),
% 25.26/17.01 inference(quant_inst,[status(thm)],[])).
% 25.26/17.01 tff(19972,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | v123(constB125)),
% 25.26/17.01 inference(modus_ponens,[status(thm)],[19971, 19970])).
% 25.26/17.01 tff(19973,plain,
% 25.26/17.01 (v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2))),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[19972, 1401, 19967])).
% 25.26/17.01 tff(19974,plain,
% 25.26/17.01 (~v90(constB125, bitIndex2)),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[19973, 19969, 19966])).
% 25.26/17.01 tff(19975,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | v119(constB125))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | v119(constB125))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(19976,plain,
% 25.26/17.01 ((v90(constB125, bitIndex0) | v119(constB125) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2)) <=> (v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | v119(constB125))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(19977,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB125, bitIndex0) | v119(constB125) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | v119(constB125)))),
% 25.26/17.01 inference(monotonicity,[status(thm)],[19976])).
% 25.26/17.01 tff(19978,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB125, bitIndex0) | v119(constB125) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | v119(constB125))),
% 25.26/17.01 inference(transitivity,[status(thm)],[19977, 19975])).
% 25.26/17.01 tff(19979,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB125, bitIndex0) | v119(constB125) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2))),
% 25.26/17.01 inference(quant_inst,[status(thm)],[])).
% 25.26/17.01 tff(19980,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | v119(constB125)),
% 25.26/17.01 inference(modus_ponens,[status(thm)],[19979, 19978])).
% 25.26/17.01 tff(19981,plain,
% 25.26/17.01 (v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2)),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[19980, 955, 19968])).
% 25.26/17.01 tff(19982,plain,
% 25.26/17.01 ($false),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[19981, 19974, 19969, 19966])).
% 25.26/17.01 tff(19983,plain,(v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | v119(constB125) | v123(constB125)), inference(lemma,lemma(discharge,[]))).
% 25.26/17.01 tff(19984,plain,
% 25.26/17.01 (v90(constB125, bitIndex0)),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[19983, 19966, 19968, 19967])).
% 25.26/17.01 tff(19985,assumption,(~v124(constB125)), introduced(assumption)).
% 25.26/17.01 tff(19986,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB125, bitIndex0)) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | v124(constB125))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB125, bitIndex0)) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | v124(constB125))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(19987,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB125, bitIndex0)) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | v124(constB125))),
% 25.26/17.01 inference(quant_inst,[status(thm)],[])).
% 25.26/17.01 tff(19988,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB125, bitIndex0)) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | v124(constB125)),
% 25.26/17.01 inference(modus_ponens,[status(thm)],[19987, 19986])).
% 25.26/17.01 tff(19989,plain,
% 25.26/17.01 ((~v90(constB125, bitIndex0)) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2))),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[19988, 4735, 19985])).
% 25.26/17.01 tff(19990,plain,
% 25.26/17.01 (~v90(constB125, bitIndex2)),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[19989, 19984, 19966])).
% 25.26/17.01 tff(19991,assumption,(~v120(constB125)), introduced(assumption)).
% 25.26/17.01 tff(19992,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB125, bitIndex0)) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | v120(constB125))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB125, bitIndex0)) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | v120(constB125))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(19993,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB125, bitIndex0)) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | v120(constB125))),
% 25.26/17.01 inference(quant_inst,[status(thm)],[])).
% 25.26/17.01 tff(19994,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB125, bitIndex0)) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | v120(constB125)),
% 25.26/17.01 inference(modus_ponens,[status(thm)],[19993, 19992])).
% 25.26/17.01 tff(19995,plain,
% 25.26/17.01 ((~v90(constB125, bitIndex0)) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2)),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[19994, 2012, 19991])).
% 25.26/17.01 tff(19996,plain,
% 25.26/17.01 ($false),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[19995, 19990, 19984, 19966])).
% 25.26/17.01 tff(19997,plain,(v90(constB125, bitIndex1) | v120(constB125) | v124(constB125) | v119(constB125) | v123(constB125)), inference(lemma,lemma(discharge,[]))).
% 25.26/17.01 tff(19998,plain,
% 25.26/17.01 (v90(constB125, bitIndex1)),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[19997, 19965, 19958, 19951, 19937])).
% 25.26/17.01 tff(19999,assumption,(v90(constB125, bitIndex1)), introduced(assumption)).
% 25.26/17.01 tff(20000,assumption,(~v125(constB125)), introduced(assumption)).
% 25.26/17.01 tff(20001,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)) | v125(constB125))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)) | v125(constB125))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(20002,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)) | v125(constB125))),
% 25.26/17.01 inference(quant_inst,[status(thm)],[])).
% 25.26/17.01 tff(20003,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)) | v125(constB125)),
% 25.26/17.01 inference(modus_ponens,[status(thm)],[20002, 20001])).
% 25.26/17.01 tff(20004,plain,
% 25.26/17.01 (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2))),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[20003, 1661, 20000])).
% 25.26/17.01 tff(20005,plain,
% 25.26/17.01 (~v90(constB125, bitIndex2)),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[20004, 19969, 19999])).
% 25.26/17.01 tff(20006,assumption,(~v121(constB125)), introduced(assumption)).
% 25.26/17.01 tff(20007,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v121(constB125))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v121(constB125))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(20008,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v121(constB125))),
% 25.26/17.01 inference(quant_inst,[status(thm)],[])).
% 25.26/17.01 tff(20009,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v121(constB125)),
% 25.26/17.01 inference(modus_ponens,[status(thm)],[20008, 20007])).
% 25.26/17.01 tff(20010,plain,
% 25.26/17.01 (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2)),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[20009, 2145, 20006])).
% 25.26/17.01 tff(20011,plain,
% 25.26/17.01 ($false),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[20010, 20005, 19969, 19999])).
% 25.26/17.01 tff(20012,plain,(v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v121(constB125) | v125(constB125)), inference(lemma,lemma(discharge,[]))).
% 25.26/17.01 tff(20013,plain,
% 25.26/17.01 (v90(constB125, bitIndex0)),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[20012, 19998, 19930, 19895])).
% 25.26/17.01 tff(20014,plain,
% 25.26/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(20015,plain,
% 25.26/17.01 (((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0))) <=> (v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(20016,plain,
% 25.26/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0))))),
% 25.26/17.01 inference(monotonicity,[status(thm)],[20015])).
% 25.26/17.01 tff(20017,plain,
% 25.26/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 25.26/17.01 inference(transitivity,[status(thm)],[20016, 20014])).
% 25.26/17.01 tff(20018,plain,
% 25.26/17.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 25.26/17.01 inference(quant_inst,[status(thm)],[])).
% 25.26/17.01 tff(20019,plain,
% 25.26/17.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0))),
% 25.26/17.01 inference(modus_ponens,[status(thm)],[20018, 20017])).
% 25.26/17.01 tff(20020,plain,
% 25.26/17.01 (v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0))),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[20019, 934, 19787])).
% 25.26/17.01 tff(20021,plain,
% 25.26/17.01 (v90(constB124, bitIndex0) | (~v90(constB125, bitIndex0))),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[20020, 19799])).
% 25.26/17.01 tff(20022,plain,
% 25.26/17.01 (v90(constB124, bitIndex0)),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[20021, 20013])).
% 25.26/17.01 tff(20023,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB125) | (~v122(constB125)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB125) | (~v122(constB125)))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(20024,plain,
% 25.26/17.01 (((~v122(constB125)) | v116(constB125)) <=> (v116(constB125) | (~v122(constB125)))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(20025,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB125)) | v116(constB125))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB125) | (~v122(constB125))))),
% 25.26/17.01 inference(monotonicity,[status(thm)],[20024])).
% 25.26/17.01 tff(20026,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB125)) | v116(constB125))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB125) | (~v122(constB125)))),
% 25.26/17.01 inference(transitivity,[status(thm)],[20025, 20023])).
% 25.26/17.01 tff(20027,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB125)) | v116(constB125))),
% 25.26/17.01 inference(quant_inst,[status(thm)],[])).
% 25.26/17.01 tff(20028,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB125) | (~v122(constB125))),
% 25.26/17.01 inference(modus_ponens,[status(thm)],[20027, 20026])).
% 25.26/17.01 tff(20029,plain,
% 25.26/17.01 (~v122(constB125)),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[20028, 2652, 19916])).
% 25.26/17.01 tff(20030,plain,
% 25.26/17.01 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB125, bitIndex0)) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v122(constB125))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB125, bitIndex0)) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v122(constB125))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(20031,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB125, bitIndex0)) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v122(constB125))),
% 25.26/17.01 inference(quant_inst,[status(thm)],[])).
% 25.26/17.01 tff(20032,plain,
% 25.26/17.01 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB125, bitIndex0)) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v122(constB125)),
% 25.26/17.01 inference(modus_ponens,[status(thm)],[20031, 20030])).
% 25.26/17.01 tff(20033,plain,
% 25.26/17.01 ((~v90(constB125, bitIndex0)) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2)),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[20032, 2641, 20029])).
% 25.26/17.01 tff(20034,plain,
% 25.26/17.01 (v90(constB125, bitIndex2)),
% 25.26/17.01 inference(unit_resolution,[status(thm)],[20033, 20013, 19998])).
% 25.26/17.01 tff(20035,plain,
% 25.26/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(20036,plain,
% 25.26/17.01 (((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2))) <=> (v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 25.26/17.01 inference(rewrite,[status(thm)],[])).
% 25.26/17.01 tff(20037,plain,
% 25.26/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2))))),
% 25.26/17.01 inference(monotonicity,[status(thm)],[20036])).
% 25.26/17.01 tff(20038,plain,
% 25.26/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 25.26/17.01 inference(transitivity,[status(thm)],[20037, 20035])).
% 25.26/17.01 tff(20039,plain,
% 25.26/17.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 25.26/17.01 inference(quant_inst,[status(thm)],[])).
% 25.26/17.01 tff(20040,plain,
% 25.26/17.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2))),
% 25.26/17.01 inference(modus_ponens,[status(thm)],[20039, 20038])).
% 25.26/17.01 tff(20041,plain,
% 25.26/17.01 (v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2))),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20040, 892, 19787])).
% 25.26/17.02 tff(20042,plain,
% 25.26/17.02 (v90(constB124, bitIndex2) | (~v90(constB125, bitIndex2))),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20041, 19799])).
% 25.26/17.02 tff(20043,plain,
% 25.26/17.02 (v90(constB124, bitIndex2)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20042, 20034])).
% 25.26/17.02 tff(20044,plain,
% 25.26/17.02 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB124)) | (~v90(constB124, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB124)) | (~v90(constB124, bitIndex2)))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20045,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB124)) | (~v90(constB124, bitIndex2)))),
% 25.26/17.02 inference(quant_inst,[status(thm)],[])).
% 25.26/17.02 tff(20046,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB124)) | (~v90(constB124, bitIndex2))),
% 25.26/17.02 inference(modus_ponens,[status(thm)],[20045, 20044])).
% 25.26/17.02 tff(20047,plain,
% 25.26/17.02 (~v122(constB124)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20046, 1740, 20043])).
% 25.26/17.02 tff(20048,plain,
% 25.26/17.02 (v90(constB125, bitIndex1)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[19997, 19951, 19958, 19965, 19937])).
% 25.26/17.02 tff(20049,plain,
% 25.26/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex1)))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20050,plain,
% 25.26/17.02 (((~nextState(constB124, constB125)) | v90(constB124, bitIndex1) | v100(constB125) | (~v90(constB125, bitIndex1))) <=> (v90(constB124, bitIndex1) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex1)))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20051,plain,
% 25.26/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex1) | v100(constB125) | (~v90(constB125, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex1))))),
% 25.26/17.02 inference(monotonicity,[status(thm)],[20050])).
% 25.26/17.02 tff(20052,plain,
% 25.26/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex1) | v100(constB125) | (~v90(constB125, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex1)))),
% 25.26/17.02 inference(transitivity,[status(thm)],[20051, 20049])).
% 25.26/17.02 tff(20053,plain,
% 25.26/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex1) | v100(constB125) | (~v90(constB125, bitIndex1)))),
% 25.26/17.02 inference(quant_inst,[status(thm)],[])).
% 25.26/17.02 tff(20054,plain,
% 25.26/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex1))),
% 25.26/17.02 inference(modus_ponens,[status(thm)],[20053, 20052])).
% 25.26/17.02 tff(20055,plain,
% 25.26/17.02 (v90(constB124, bitIndex1) | v100(constB125) | (~v90(constB125, bitIndex1))),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20054, 913, 19787])).
% 25.26/17.02 tff(20056,plain,
% 25.26/17.02 (v90(constB124, bitIndex1) | (~v90(constB125, bitIndex1))),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20055, 19799])).
% 25.26/17.02 tff(20057,plain,
% 25.26/17.02 (v90(constB124, bitIndex1)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20056, 20048])).
% 25.26/17.02 tff(20058,plain,
% 25.26/17.02 (v90(constB125, bitIndex0)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20012, 20048, 19930, 19895])).
% 25.26/17.02 tff(20059,plain,
% 25.26/17.02 (v90(constB124, bitIndex0)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20021, 20058])).
% 25.26/17.02 tff(20060,assumption,(~v129(constB124, bitIndex0)), introduced(assumption)).
% 25.26/17.02 tff(20061,plain,
% 25.26/17.02 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20062,plain,
% 25.26/17.02 (((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0)) <=> ((~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20063,plain,
% 25.26/17.02 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124))))),
% 25.26/17.02 inference(monotonicity,[status(thm)],[20062])).
% 25.26/17.02 tff(20064,plain,
% 25.26/17.02 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))),
% 25.26/17.02 inference(transitivity,[status(thm)],[20063, 20061])).
% 25.26/17.02 tff(20065,plain,
% 25.26/17.02 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0))),
% 25.26/17.02 inference(quant_inst,[status(thm)],[])).
% 25.26/17.02 tff(20066,plain,
% 25.26/17.02 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124))),
% 25.26/17.02 inference(modus_ponens,[status(thm)],[20065, 20064])).
% 25.26/17.02 tff(20067,plain,
% 25.26/17.02 ((~v90(constB124, bitIndex0)) | (~v100(constB124))),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20066, 1374, 20060])).
% 25.26/17.02 tff(20068,plain,
% 25.26/17.02 (~v100(constB124)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20067, 20059])).
% 25.26/17.02 tff(20069,plain,
% 25.26/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB123, bitIndex1) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB123, bitIndex1) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex1)))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20070,plain,
% 25.26/17.02 (((~nextState(constB123, constB124)) | v90(constB123, bitIndex1) | v100(constB124) | (~v90(constB124, bitIndex1))) <=> (v90(constB123, bitIndex1) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex1)))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20071,plain,
% 25.26/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex1) | v100(constB124) | (~v90(constB124, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB123, bitIndex1) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex1))))),
% 25.26/17.02 inference(monotonicity,[status(thm)],[20070])).
% 25.26/17.02 tff(20072,plain,
% 25.26/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex1) | v100(constB124) | (~v90(constB124, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB123, bitIndex1) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex1)))),
% 25.26/17.02 inference(transitivity,[status(thm)],[20071, 20069])).
% 25.26/17.02 tff(20073,plain,
% 25.26/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex1) | v100(constB124) | (~v90(constB124, bitIndex1)))),
% 25.26/17.02 inference(quant_inst,[status(thm)],[])).
% 25.26/17.02 tff(20074,plain,
% 25.26/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB123, bitIndex1) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex1))),
% 25.26/17.02 inference(modus_ponens,[status(thm)],[20073, 20072])).
% 25.26/17.02 tff(20075,plain,
% 25.26/17.02 (v90(constB123, bitIndex1) | v100(constB124) | (~v90(constB124, bitIndex1))),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20074, 913, 19728])).
% 25.26/17.02 tff(20076,plain,
% 25.26/17.02 (v90(constB123, bitIndex1)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20075, 20068, 20057])).
% 25.26/17.02 tff(20077,plain,
% 25.26/17.02 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB123)) | (~v90(constB123, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB123)) | (~v90(constB123, bitIndex1)))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20078,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB123)) | (~v90(constB123, bitIndex1)))),
% 25.26/17.02 inference(quant_inst,[status(thm)],[])).
% 25.26/17.02 tff(20079,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB123)) | (~v90(constB123, bitIndex1))),
% 25.26/17.02 inference(modus_ponens,[status(thm)],[20078, 20077])).
% 25.26/17.02 tff(20080,plain,
% 25.26/17.02 (~v123(constB123)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20079, 1773, 20076])).
% 25.26/17.02 tff(20081,plain,
% 25.26/17.02 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB123)) | (~v90(constB123, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB123)) | (~v90(constB123, bitIndex1)))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20082,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB123)) | (~v90(constB123, bitIndex1)))),
% 25.26/17.02 inference(quant_inst,[status(thm)],[])).
% 25.26/17.02 tff(20083,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB123)) | (~v90(constB123, bitIndex1))),
% 25.26/17.02 inference(modus_ponens,[status(thm)],[20082, 20081])).
% 25.26/17.02 tff(20084,plain,
% 25.26/17.02 (~v124(constB123)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20083, 1784, 20076])).
% 25.26/17.02 tff(20085,assumption,(~v122(constB124)), introduced(assumption)).
% 25.26/17.02 tff(20086,plain,
% 25.26/17.02 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB124, bitIndex0)) | (~v90(constB124, bitIndex1)) | v90(constB124, bitIndex2) | v122(constB124))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB124, bitIndex0)) | (~v90(constB124, bitIndex1)) | v90(constB124, bitIndex2) | v122(constB124))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20087,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB124, bitIndex0)) | (~v90(constB124, bitIndex1)) | v90(constB124, bitIndex2) | v122(constB124))),
% 25.26/17.02 inference(quant_inst,[status(thm)],[])).
% 25.26/17.02 tff(20088,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB124, bitIndex0)) | (~v90(constB124, bitIndex1)) | v90(constB124, bitIndex2) | v122(constB124)),
% 25.26/17.02 inference(modus_ponens,[status(thm)],[20087, 20086])).
% 25.26/17.02 tff(20089,plain,
% 25.26/17.02 ((~v90(constB124, bitIndex0)) | (~v90(constB124, bitIndex1)) | v90(constB124, bitIndex2)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20088, 2641, 20085])).
% 25.26/17.02 tff(20090,plain,
% 25.26/17.02 (v90(constB124, bitIndex2)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20089, 20059, 20057])).
% 25.26/17.02 tff(20091,plain,
% 25.26/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB123, bitIndex2) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB123, bitIndex2) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex2)))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20092,plain,
% 25.26/17.02 (((~nextState(constB123, constB124)) | v90(constB123, bitIndex2) | v100(constB124) | (~v90(constB124, bitIndex2))) <=> (v90(constB123, bitIndex2) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex2)))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20093,plain,
% 25.26/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex2) | v100(constB124) | (~v90(constB124, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB123, bitIndex2) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex2))))),
% 25.26/17.02 inference(monotonicity,[status(thm)],[20092])).
% 25.26/17.02 tff(20094,plain,
% 25.26/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex2) | v100(constB124) | (~v90(constB124, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB123, bitIndex2) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex2)))),
% 25.26/17.02 inference(transitivity,[status(thm)],[20093, 20091])).
% 25.26/17.02 tff(20095,plain,
% 25.26/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex2) | v100(constB124) | (~v90(constB124, bitIndex2)))),
% 25.26/17.02 inference(quant_inst,[status(thm)],[])).
% 25.26/17.02 tff(20096,plain,
% 25.26/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB123, bitIndex2) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex2))),
% 25.26/17.02 inference(modus_ponens,[status(thm)],[20095, 20094])).
% 25.26/17.02 tff(20097,plain,
% 25.26/17.02 (v90(constB123, bitIndex2) | v100(constB124) | (~v90(constB124, bitIndex2))),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20096, 892, 19728])).
% 25.26/17.02 tff(20098,plain,
% 25.26/17.02 (v90(constB123, bitIndex2)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20097, 20090, 20068])).
% 25.26/17.02 tff(20099,plain,
% 25.26/17.02 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB123)) | (~v90(constB123, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB123)) | (~v90(constB123, bitIndex2)))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20100,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB123)) | (~v90(constB123, bitIndex2)))),
% 25.26/17.02 inference(quant_inst,[status(thm)],[])).
% 25.26/17.02 tff(20101,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB123)) | (~v90(constB123, bitIndex2))),
% 25.26/17.02 inference(modus_ponens,[status(thm)],[20100, 20099])).
% 25.26/17.02 tff(20102,plain,
% 25.26/17.02 (~v119(constB123)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20101, 12236, 20098])).
% 25.26/17.02 tff(20103,plain,
% 25.26/17.02 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2))))),
% 25.26/17.02 inference(bind,[status(th)],[])).
% 25.26/17.02 tff(20104,plain,
% 25.26/17.02 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 25.26/17.02 inference(quant_intro,[status(thm)],[20103])).
% 25.26/17.02 tff(20105,plain,
% 25.26/17.02 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20106,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_3')).
% 25.26/17.02 tff(20107,plain,
% 25.26/17.02 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 25.26/17.02 inference(modus_ponens,[status(thm)],[20106, 20105])).
% 25.26/17.02 tff(20108,plain,(
% 25.26/17.02 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 25.26/17.02 inference(skolemize,[status(sab)],[20107])).
% 25.26/17.02 tff(20109,plain,
% 25.26/17.02 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 25.26/17.02 inference(modus_ponens,[status(thm)],[20108, 20104])).
% 25.26/17.02 tff(20110,plain,
% 25.26/17.02 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v120(constB123)) | (~v90(constB123, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v120(constB123)) | (~v90(constB123, bitIndex2)))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20111,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v120(constB123)) | (~v90(constB123, bitIndex2)))),
% 25.26/17.02 inference(quant_inst,[status(thm)],[])).
% 25.26/17.02 tff(20112,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v120(constB123)) | (~v90(constB123, bitIndex2))),
% 25.26/17.02 inference(modus_ponens,[status(thm)],[20111, 20110])).
% 25.26/17.02 tff(20113,plain,
% 25.26/17.02 (~v120(constB123)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20112, 20109, 20098])).
% 25.26/17.02 tff(20114,plain,
% 25.26/17.02 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB123)) | (~v90(constB123, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB123)) | (~v90(constB123, bitIndex2)))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20115,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB123)) | (~v90(constB123, bitIndex2)))),
% 25.26/17.02 inference(quant_inst,[status(thm)],[])).
% 25.26/17.02 tff(20116,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB123)) | (~v90(constB123, bitIndex2))),
% 25.26/17.02 inference(modus_ponens,[status(thm)],[20115, 20114])).
% 25.26/17.02 tff(20117,plain,
% 25.26/17.02 (~v121(constB123)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20116, 1729, 20098])).
% 25.26/17.02 tff(20118,plain,
% 25.26/17.02 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB123)) | (~v90(constB123, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB123)) | (~v90(constB123, bitIndex2)))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20119,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB123)) | (~v90(constB123, bitIndex2)))),
% 25.26/17.02 inference(quant_inst,[status(thm)],[])).
% 25.26/17.02 tff(20120,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB123)) | (~v90(constB123, bitIndex2))),
% 25.26/17.02 inference(modus_ponens,[status(thm)],[20119, 20118])).
% 25.26/17.02 tff(20121,plain,
% 25.26/17.02 (~v122(constB123)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20120, 1740, 20098])).
% 25.26/17.02 tff(20122,plain,
% 25.26/17.02 (~v110(constB124)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[19758, 20068])).
% 25.26/17.02 tff(20123,plain,
% 25.26/17.02 (~v108(constB123)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[19735, 20122])).
% 25.26/17.02 tff(20124,plain,
% 25.26/17.02 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB123) | (~v26(constB123)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v26(constB123)))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20125,plain,
% 25.26/17.02 (((~v26(constB123)) | v108(constB123)) <=> (v108(constB123) | (~v26(constB123)))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20126,plain,
% 25.26/17.02 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB123)) | v108(constB123))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB123) | (~v26(constB123))))),
% 25.26/17.02 inference(monotonicity,[status(thm)],[20125])).
% 25.26/17.02 tff(20127,plain,
% 25.26/17.02 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB123)) | v108(constB123))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v26(constB123)))),
% 25.26/17.02 inference(transitivity,[status(thm)],[20126, 20124])).
% 25.26/17.02 tff(20128,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB123)) | v108(constB123))),
% 25.26/17.02 inference(quant_inst,[status(thm)],[])).
% 25.26/17.02 tff(20129,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v26(constB123))),
% 25.26/17.02 inference(modus_ponens,[status(thm)],[20128, 20127])).
% 25.26/17.02 tff(20130,plain,
% 25.26/17.02 (~v26(constB123)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20129, 2441, 20123])).
% 25.26/17.02 tff(20131,plain,
% 25.26/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex0)) | v129(constB124, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex0)) | v129(constB124, bitIndex0))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20132,plain,
% 25.26/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex0)) | v129(constB124, bitIndex0))),
% 25.26/17.02 inference(quant_inst,[status(thm)],[])).
% 25.26/17.02 tff(20133,plain,
% 25.26/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex0)) | v129(constB124, bitIndex0)),
% 25.26/17.02 inference(modus_ponens,[status(thm)],[20132, 20131])).
% 25.26/17.02 tff(20134,plain,
% 25.26/17.02 ((~v127(constB123, bitIndex0)) | v129(constB124, bitIndex0)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20133, 1960, 19728])).
% 25.26/17.02 tff(20135,plain,
% 25.26/17.02 (~v127(constB123, bitIndex0)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20134, 20060])).
% 25.26/17.02 tff(20136,plain,
% 25.26/17.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB123) | (~v130(constB123, bitIndex0)) | v127(constB123, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB123) | (~v130(constB123, bitIndex0)) | v127(constB123, bitIndex0))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20137,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB123) | (~v130(constB123, bitIndex0)) | v127(constB123, bitIndex0))),
% 25.26/17.02 inference(quant_inst,[status(thm)],[])).
% 25.26/17.02 tff(20138,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB123) | (~v130(constB123, bitIndex0)) | v127(constB123, bitIndex0)),
% 25.26/17.02 inference(modus_ponens,[status(thm)],[20137, 20136])).
% 25.26/17.02 tff(20139,plain,
% 25.26/17.02 (v26(constB123) | (~v130(constB123, bitIndex0))),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20138, 1945, 20135])).
% 25.26/17.02 tff(20140,plain,
% 25.26/17.02 (~v130(constB123, bitIndex0)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20139, 20130])).
% 25.26/17.02 tff(20141,plain,
% 25.26/17.02 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB123) | v120(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | v130(constB123, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB123) | v120(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | v130(constB123, bitIndex0))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20142,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB123) | v120(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | v130(constB123, bitIndex0))),
% 25.26/17.02 inference(quant_inst,[status(thm)],[])).
% 25.26/17.02 tff(20143,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB123) | v120(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | v130(constB123, bitIndex0)),
% 25.26/17.02 inference(modus_ponens,[status(thm)],[20142, 20141])).
% 25.26/17.02 tff(20144,plain,
% 25.26/17.02 ($false),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20143, 1931, 20140, 20121, 20117, 20113, 20102, 20084, 20080])).
% 25.26/17.02 tff(20145,plain,(v113(constB125) | v129(constB124, bitIndex0) | v122(constB124)), inference(lemma,lemma(discharge,[]))).
% 25.26/17.02 tff(20146,plain,
% 25.26/17.02 (v129(constB124, bitIndex0)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20145, 20047, 19888])).
% 25.26/17.02 tff(20147,plain,
% 25.26/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0)))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20148,plain,
% 25.26/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0)))),
% 25.26/17.02 inference(quant_inst,[status(thm)],[])).
% 25.26/17.02 tff(20149,plain,
% 25.26/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0))),
% 25.26/17.02 inference(modus_ponens,[status(thm)],[20148, 20147])).
% 25.26/17.02 tff(20150,plain,
% 25.26/17.02 (v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0))),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20149, 1359, 19728])).
% 25.26/17.02 tff(20151,plain,
% 25.26/17.02 (v127(constB123, bitIndex0)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20150, 20146])).
% 25.26/17.02 tff(20152,plain,
% 25.26/17.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20153,plain,
% 25.26/17.02 ((v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0))) <=> ((~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20154,plain,
% 25.26/17.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0)))),
% 25.26/17.02 inference(monotonicity,[status(thm)],[20153])).
% 25.26/17.02 tff(20155,plain,
% 25.26/17.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))),
% 25.26/17.02 inference(transitivity,[status(thm)],[20154, 20152])).
% 25.26/17.02 tff(20156,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0)))),
% 25.26/17.02 inference(quant_inst,[status(thm)],[])).
% 25.26/17.02 tff(20157,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0)),
% 25.26/17.02 inference(modus_ponens,[status(thm)],[20156, 20155])).
% 25.26/17.02 tff(20158,plain,
% 25.26/17.02 ((~v127(constB123, bitIndex0)) | v130(constB123, bitIndex0)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20157, 1341, 19710])).
% 25.26/17.02 tff(20159,plain,
% 25.26/17.02 (v130(constB123, bitIndex0)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20158, 20151])).
% 25.26/17.02 tff(20160,plain,
% 25.26/17.02 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB123)) | (~v130(constB123, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB123)) | (~v130(constB123, bitIndex0)))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20161,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB123)) | (~v130(constB123, bitIndex0)))),
% 25.26/17.02 inference(quant_inst,[status(thm)],[])).
% 25.26/17.02 tff(20162,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB123)) | (~v130(constB123, bitIndex0))),
% 25.26/17.02 inference(modus_ponens,[status(thm)],[20161, 20160])).
% 25.26/17.02 tff(20163,plain,
% 25.26/17.02 (~v123(constB123)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20162, 1617, 20159])).
% 25.26/17.02 tff(20164,plain,
% 25.26/17.02 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB123)) | (~v130(constB123, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB123)) | (~v130(constB123, bitIndex0)))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20165,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB123)) | (~v130(constB123, bitIndex0)))),
% 25.26/17.02 inference(quant_inst,[status(thm)],[])).
% 25.26/17.02 tff(20166,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB123)) | (~v130(constB123, bitIndex0))),
% 25.26/17.02 inference(modus_ponens,[status(thm)],[20165, 20164])).
% 25.26/17.02 tff(20167,plain,
% 25.26/17.02 (~v122(constB123)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20166, 2833, 20159])).
% 25.26/17.02 tff(20168,plain,
% 25.26/17.02 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB123)) | (~v130(constB123, bitIndex0)))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20169,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex0)))),
% 25.26/17.02 inference(quant_inst,[status(thm)],[])).
% 25.26/17.02 tff(20170,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB123)) | (~v130(constB123, bitIndex0))),
% 25.26/17.02 inference(modus_ponens,[status(thm)],[20169, 20168])).
% 25.26/17.02 tff(20171,plain,
% 25.26/17.02 (~v120(constB123)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20170, 2023, 20159])).
% 25.26/17.02 tff(20172,plain,
% 25.26/17.02 (v90(constB124, bitIndex1)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20056, 19998])).
% 25.26/17.02 tff(20173,plain,
% 25.26/17.02 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB123)) | (~v130(constB123, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB123)) | (~v130(constB123, bitIndex0)))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20174,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB123)) | (~v130(constB123, bitIndex0)))),
% 25.26/17.02 inference(quant_inst,[status(thm)],[])).
% 25.26/17.02 tff(20175,plain,
% 25.26/17.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB123)) | (~v130(constB123, bitIndex0))),
% 25.26/17.02 inference(modus_ponens,[status(thm)],[20174, 20173])).
% 25.26/17.02 tff(20176,plain,
% 25.26/17.02 (~v119(constB123)),
% 25.26/17.02 inference(unit_resolution,[status(thm)],[20175, 1327, 20159])).
% 25.26/17.02 tff(20177,assumption,(v100(constB124)), introduced(assumption)).
% 25.26/17.02 tff(20178,assumption,(v90(constB124, bitIndex1)), introduced(assumption)).
% 25.26/17.02 tff(20179,plain,
% 25.26/17.02 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB124, bitIndex1)) | v129(constB124, bitIndex1) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | v129(constB124, bitIndex1) | (~v100(constB124)))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20180,plain,
% 25.26/17.02 (((~v90(constB124, bitIndex1)) | (~v100(constB124)) | v129(constB124, bitIndex1)) <=> ((~v90(constB124, bitIndex1)) | v129(constB124, bitIndex1) | (~v100(constB124)))),
% 25.26/17.02 inference(rewrite,[status(thm)],[])).
% 25.26/17.02 tff(20181,plain,
% 25.26/17.02 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB124, bitIndex1)) | (~v100(constB124)) | v129(constB124, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB124, bitIndex1)) | v129(constB124, bitIndex1) | (~v100(constB124))))),
% 25.26/17.02 inference(monotonicity,[status(thm)],[20180])).
% 25.26/17.02 tff(20182,plain,
% 25.26/17.02 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB124, bitIndex1)) | (~v100(constB124)) | v129(constB124, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | v129(constB124, bitIndex1) | (~v100(constB124)))),
% 25.26/17.02 inference(transitivity,[status(thm)],[20181, 20179])).
% 25.26/17.02 tff(20183,plain,
% 25.26/17.02 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB124, bitIndex1)) | (~v100(constB124)) | v129(constB124, bitIndex1))),
% 25.26/17.02 inference(quant_inst,[status(thm)],[])).
% 25.26/17.03 tff(20184,plain,
% 25.26/17.03 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | v129(constB124, bitIndex1) | (~v100(constB124))),
% 25.26/17.03 inference(modus_ponens,[status(thm)],[20183, 20182])).
% 25.26/17.03 tff(20185,plain,
% 25.26/17.03 (v129(constB124, bitIndex1) | (~v100(constB124))),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20184, 1303, 20178])).
% 25.26/17.03 tff(20186,plain,
% 25.26/17.03 (v129(constB124, bitIndex1)),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20185, 20177])).
% 25.26/17.03 tff(20187,plain,
% 25.26/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex1) | (~v129(constB124, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex1) | (~v129(constB124, bitIndex1)))),
% 25.26/17.03 inference(rewrite,[status(thm)],[])).
% 25.26/17.03 tff(20188,plain,
% 25.26/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex1) | (~v129(constB124, bitIndex1)))),
% 25.26/17.03 inference(quant_inst,[status(thm)],[])).
% 25.26/17.03 tff(20189,plain,
% 25.26/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex1) | (~v129(constB124, bitIndex1))),
% 25.26/17.03 inference(modus_ponens,[status(thm)],[20188, 20187])).
% 25.26/17.03 tff(20190,plain,
% 25.26/17.03 (v127(constB123, bitIndex1) | (~v129(constB124, bitIndex1))),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20189, 1288, 19728])).
% 25.26/17.03 tff(20191,plain,
% 25.26/17.03 (v127(constB123, bitIndex1)),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20190, 20186])).
% 25.26/17.03 tff(20192,assumption,(~v26(constB123)), introduced(assumption)).
% 25.26/17.03 tff(20193,plain,
% 25.26/17.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB123, bitIndex1)) | v26(constB123) | v130(constB123, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB123, bitIndex1)) | v26(constB123) | v130(constB123, bitIndex1))),
% 25.26/17.03 inference(rewrite,[status(thm)],[])).
% 25.26/17.03 tff(20194,plain,
% 25.26/17.03 ((v26(constB123) | v130(constB123, bitIndex1) | (~v127(constB123, bitIndex1))) <=> ((~v127(constB123, bitIndex1)) | v26(constB123) | v130(constB123, bitIndex1))),
% 25.26/17.03 inference(rewrite,[status(thm)],[])).
% 25.26/17.03 tff(20195,plain,
% 25.26/17.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB123) | v130(constB123, bitIndex1) | (~v127(constB123, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB123, bitIndex1)) | v26(constB123) | v130(constB123, bitIndex1)))),
% 25.26/17.03 inference(monotonicity,[status(thm)],[20194])).
% 25.26/17.03 tff(20196,plain,
% 25.26/17.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB123) | v130(constB123, bitIndex1) | (~v127(constB123, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB123, bitIndex1)) | v26(constB123) | v130(constB123, bitIndex1))),
% 25.26/17.03 inference(transitivity,[status(thm)],[20195, 20193])).
% 25.26/17.03 tff(20197,plain,
% 25.26/17.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB123) | v130(constB123, bitIndex1) | (~v127(constB123, bitIndex1)))),
% 25.26/17.03 inference(quant_inst,[status(thm)],[])).
% 25.26/17.03 tff(20198,plain,
% 25.26/17.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB123, bitIndex1)) | v26(constB123) | v130(constB123, bitIndex1)),
% 25.26/17.03 inference(modus_ponens,[status(thm)],[20197, 20196])).
% 25.26/17.03 tff(20199,plain,
% 25.26/17.03 ((~v127(constB123, bitIndex1)) | v130(constB123, bitIndex1)),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20198, 1270, 20192])).
% 25.26/17.03 tff(20200,plain,
% 25.26/17.03 (v130(constB123, bitIndex1)),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20199, 20191])).
% 25.26/17.03 tff(20201,assumption,(v90(constB124, bitIndex2)), introduced(assumption)).
% 25.26/17.03 tff(20202,plain,
% 25.26/17.03 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))),
% 25.26/17.03 inference(rewrite,[status(thm)],[])).
% 25.26/17.03 tff(20203,plain,
% 25.26/17.03 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))),
% 25.26/17.03 inference(quant_inst,[status(thm)],[])).
% 25.26/17.03 tff(20204,plain,
% 25.26/17.03 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124))),
% 25.26/17.03 inference(modus_ponens,[status(thm)],[20203, 20202])).
% 25.26/17.03 tff(20205,plain,
% 25.26/17.03 (v129(constB124, bitIndex2) | (~v100(constB124))),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20204, 1845, 20201])).
% 25.26/17.03 tff(20206,plain,
% 25.26/17.03 (v129(constB124, bitIndex2)),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20205, 20177])).
% 25.26/17.03 tff(20207,plain,
% 25.26/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2)))),
% 25.26/17.03 inference(rewrite,[status(thm)],[])).
% 25.26/17.03 tff(20208,plain,
% 25.26/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2)))),
% 25.26/17.03 inference(quant_inst,[status(thm)],[])).
% 25.26/17.03 tff(20209,plain,
% 25.26/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2))),
% 25.26/17.03 inference(modus_ponens,[status(thm)],[20208, 20207])).
% 25.26/17.03 tff(20210,plain,
% 25.26/17.03 (v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2))),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20209, 1830, 19728])).
% 25.26/17.03 tff(20211,plain,
% 25.26/17.03 (v127(constB123, bitIndex2)),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20210, 20206])).
% 25.26/17.03 tff(20212,plain,
% 25.26/17.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))),
% 25.26/17.03 inference(rewrite,[status(thm)],[])).
% 25.26/17.03 tff(20213,plain,
% 25.26/17.03 ((v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2))) <=> ((~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))),
% 25.26/17.03 inference(rewrite,[status(thm)],[])).
% 25.26/17.03 tff(20214,plain,
% 25.26/17.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2)))),
% 25.26/17.03 inference(monotonicity,[status(thm)],[20213])).
% 25.26/17.03 tff(20215,plain,
% 25.26/17.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))),
% 25.26/17.03 inference(transitivity,[status(thm)],[20214, 20212])).
% 25.26/17.03 tff(20216,plain,
% 25.26/17.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2)))),
% 25.26/17.03 inference(quant_inst,[status(thm)],[])).
% 25.26/17.03 tff(20217,plain,
% 25.26/17.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2)),
% 25.26/17.03 inference(modus_ponens,[status(thm)],[20216, 20215])).
% 25.26/17.03 tff(20218,plain,
% 25.26/17.03 ((~v127(constB123, bitIndex2)) | v130(constB123, bitIndex2)),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20217, 1812, 20192])).
% 25.26/17.03 tff(20219,plain,
% 25.26/17.03 (v130(constB123, bitIndex2)),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20218, 20211])).
% 25.26/17.03 tff(20220,plain,
% 25.26/17.03 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB123)) | (~v130(constB123, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB123)) | (~v130(constB123, bitIndex2)))),
% 25.26/17.03 inference(rewrite,[status(thm)],[])).
% 25.26/17.03 tff(20221,plain,
% 25.26/17.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB123)) | (~v130(constB123, bitIndex2)))),
% 25.26/17.03 inference(quant_inst,[status(thm)],[])).
% 25.26/17.03 tff(20222,plain,
% 25.26/17.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB123)) | (~v130(constB123, bitIndex2))),
% 25.26/17.03 inference(modus_ponens,[status(thm)],[20221, 20220])).
% 25.26/17.03 tff(20223,plain,
% 25.26/17.03 (~v124(constB123)),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20222, 4807, 20219])).
% 25.26/17.03 tff(20224,plain,
% 25.26/17.03 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB123)) | (~v130(constB123, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB123)) | (~v130(constB123, bitIndex2)))),
% 25.26/17.03 inference(rewrite,[status(thm)],[])).
% 25.26/17.03 tff(20225,plain,
% 25.26/17.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB123)) | (~v130(constB123, bitIndex2)))),
% 25.26/17.03 inference(quant_inst,[status(thm)],[])).
% 25.26/17.03 tff(20226,plain,
% 25.26/17.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB123)) | (~v130(constB123, bitIndex2))),
% 25.26/17.03 inference(modus_ponens,[status(thm)],[20225, 20224])).
% 25.26/17.03 tff(20227,plain,
% 25.26/17.03 (~v121(constB123)),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20226, 2406, 20219])).
% 25.26/17.03 tff(20228,assumption,(~v120(constB123)), introduced(assumption)).
% 25.26/17.03 tff(20229,assumption,(~v119(constB123)), introduced(assumption)).
% 25.26/17.03 tff(20230,assumption,(~v122(constB123)), introduced(assumption)).
% 25.26/17.03 tff(20231,assumption,(~v123(constB123)), introduced(assumption)).
% 25.26/17.03 tff(20232,plain,
% 25.26/17.03 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB123) | v120(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | (~v130(constB123, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB123) | v120(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | (~v130(constB123, bitIndex1)))),
% 25.26/17.03 inference(rewrite,[status(thm)],[])).
% 25.26/17.03 tff(20233,plain,
% 25.26/17.03 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB123) | v120(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | (~v130(constB123, bitIndex1)))),
% 25.26/17.03 inference(quant_inst,[status(thm)],[])).
% 25.26/17.03 tff(20234,plain,
% 25.26/17.03 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB123) | v120(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | (~v130(constB123, bitIndex1))),
% 25.26/17.03 inference(modus_ponens,[status(thm)],[20233, 20232])).
% 25.26/17.03 tff(20235,plain,
% 25.26/17.03 (v121(constB123) | v124(constB123) | (~v130(constB123, bitIndex1))),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20234, 1887, 20231, 20230, 20229, 20228])).
% 25.26/17.03 tff(20236,plain,
% 25.26/17.03 ($false),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20235, 20227, 20223, 20200])).
% 25.26/17.03 tff(20237,plain,((~v100(constB124)) | v123(constB123) | v122(constB123) | v119(constB123) | v120(constB123) | v26(constB123) | (~v90(constB124, bitIndex2)) | (~v90(constB124, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 25.26/17.03 tff(20238,plain,
% 25.26/17.03 ((~v100(constB124)) | v123(constB123) | v122(constB123) | v119(constB123) | v120(constB123) | (~v90(constB124, bitIndex2)) | (~v90(constB124, bitIndex1))),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20237, 19710])).
% 25.26/17.03 tff(20239,plain,
% 25.26/17.03 (~v100(constB124)),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20238, 20176, 20172, 20043, 20171, 20167, 20163])).
% 25.26/17.03 tff(20240,plain,
% 25.26/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB123, bitIndex0) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB123, bitIndex0) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex0)))),
% 25.26/17.03 inference(rewrite,[status(thm)],[])).
% 25.26/17.03 tff(20241,plain,
% 25.26/17.03 (((~nextState(constB123, constB124)) | v90(constB123, bitIndex0) | v100(constB124) | (~v90(constB124, bitIndex0))) <=> (v90(constB123, bitIndex0) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex0)))),
% 25.26/17.03 inference(rewrite,[status(thm)],[])).
% 25.26/17.03 tff(20242,plain,
% 25.26/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex0) | v100(constB124) | (~v90(constB124, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB123, bitIndex0) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex0))))),
% 25.26/17.03 inference(monotonicity,[status(thm)],[20241])).
% 25.26/17.03 tff(20243,plain,
% 25.26/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex0) | v100(constB124) | (~v90(constB124, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB123, bitIndex0) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex0)))),
% 25.26/17.03 inference(transitivity,[status(thm)],[20242, 20240])).
% 25.26/17.03 tff(20244,plain,
% 25.26/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex0) | v100(constB124) | (~v90(constB124, bitIndex0)))),
% 25.26/17.03 inference(quant_inst,[status(thm)],[])).
% 25.26/17.03 tff(20245,plain,
% 25.26/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB123, bitIndex0) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex0))),
% 25.26/17.03 inference(modus_ponens,[status(thm)],[20244, 20243])).
% 25.26/17.03 tff(20246,plain,
% 25.26/17.03 (v90(constB123, bitIndex0) | v100(constB124) | (~v90(constB124, bitIndex0))),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20245, 934, 19728])).
% 25.26/17.03 tff(20247,plain,
% 25.26/17.03 (v90(constB123, bitIndex0)),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20246, 20239, 20022])).
% 25.26/17.03 tff(20248,plain,
% 25.26/17.03 (v90(constB122, bitIndex0)),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[19683, 20247])).
% 25.26/17.03 tff(20249,plain,
% 25.26/17.03 (v90(constB123, bitIndex2)),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20097, 20239, 20043])).
% 25.26/17.03 tff(20250,plain,
% 25.26/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 25.26/17.03 inference(rewrite,[status(thm)],[])).
% 25.26/17.03 tff(20251,plain,
% 25.26/17.03 (((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2))) <=> (v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 25.26/17.03 inference(rewrite,[status(thm)],[])).
% 25.26/17.03 tff(20252,plain,
% 25.26/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2))))),
% 25.26/17.03 inference(monotonicity,[status(thm)],[20251])).
% 25.26/17.03 tff(20253,plain,
% 25.26/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 25.26/17.03 inference(transitivity,[status(thm)],[20252, 20250])).
% 25.26/17.03 tff(20254,plain,
% 25.26/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 25.26/17.03 inference(quant_inst,[status(thm)],[])).
% 25.26/17.03 tff(20255,plain,
% 25.26/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2))),
% 25.26/17.03 inference(modus_ponens,[status(thm)],[20254, 20253])).
% 25.26/17.03 tff(20256,plain,
% 25.26/17.03 (v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2))),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20255, 892, 19595])).
% 25.26/17.03 tff(20257,plain,
% 25.26/17.03 (v90(constB122, bitIndex2) | (~v90(constB123, bitIndex2))),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20256, 19607])).
% 25.26/17.03 tff(20258,plain,
% 25.26/17.03 (v90(constB122, bitIndex2)),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20257, 20249])).
% 25.26/17.03 tff(20259,assumption,(v90(constB122, bitIndex2)), introduced(assumption)).
% 25.26/17.03 tff(20260,plain,
% 25.26/17.03 (v90(constB121, bitIndex2)),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[19578, 19431, 20259])).
% 25.26/17.03 tff(20261,plain,
% 25.26/17.03 (v90(constB120, bitIndex2)),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[19346, 20260])).
% 25.26/17.03 tff(20262,assumption,(v90(constB122, bitIndex0)), introduced(assumption)).
% 25.26/17.03 tff(20263,plain,
% 25.26/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB121, bitIndex0) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB121, bitIndex0) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex0)))),
% 25.26/17.03 inference(rewrite,[status(thm)],[])).
% 25.26/17.03 tff(20264,plain,
% 25.26/17.03 (((~nextState(constB121, constB122)) | v90(constB121, bitIndex0) | v100(constB122) | (~v90(constB122, bitIndex0))) <=> (v90(constB121, bitIndex0) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex0)))),
% 25.26/17.03 inference(rewrite,[status(thm)],[])).
% 25.26/17.03 tff(20265,plain,
% 25.26/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB121, constB122)) | v90(constB121, bitIndex0) | v100(constB122) | (~v90(constB122, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB121, bitIndex0) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex0))))),
% 25.26/17.03 inference(monotonicity,[status(thm)],[20264])).
% 25.26/17.03 tff(20266,plain,
% 25.26/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB121, constB122)) | v90(constB121, bitIndex0) | v100(constB122) | (~v90(constB122, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB121, bitIndex0) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex0)))),
% 25.26/17.03 inference(transitivity,[status(thm)],[20265, 20263])).
% 25.26/17.03 tff(20267,plain,
% 25.26/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB121, constB122)) | v90(constB121, bitIndex0) | v100(constB122) | (~v90(constB122, bitIndex0)))),
% 25.26/17.03 inference(quant_inst,[status(thm)],[])).
% 25.26/17.03 tff(20268,plain,
% 25.26/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB121, bitIndex0) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex0))),
% 25.26/17.03 inference(modus_ponens,[status(thm)],[20267, 20266])).
% 25.26/17.03 tff(20269,plain,
% 25.26/17.03 (v90(constB121, bitIndex0) | v100(constB122) | (~v90(constB122, bitIndex0))),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20268, 934, 19425])).
% 25.26/17.03 tff(20270,plain,
% 25.26/17.03 (v90(constB121, bitIndex0)),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20269, 19431, 20262])).
% 25.26/17.03 tff(20271,plain,
% 25.26/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0)))),
% 25.26/17.03 inference(rewrite,[status(thm)],[])).
% 25.26/17.03 tff(20272,plain,
% 25.26/17.03 (((~nextState(constB120, constB121)) | v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0))) <=> (v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0)))),
% 25.26/17.03 inference(rewrite,[status(thm)],[])).
% 25.26/17.03 tff(20273,plain,
% 25.26/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0))))),
% 25.26/17.03 inference(monotonicity,[status(thm)],[20272])).
% 25.26/17.03 tff(20274,plain,
% 25.26/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0)))),
% 25.26/17.03 inference(transitivity,[status(thm)],[20273, 20271])).
% 25.26/17.03 tff(20275,plain,
% 25.26/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0)))),
% 25.26/17.03 inference(quant_inst,[status(thm)],[])).
% 25.26/17.03 tff(20276,plain,
% 25.26/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0))),
% 25.26/17.03 inference(modus_ponens,[status(thm)],[20275, 20274])).
% 25.26/17.03 tff(20277,plain,
% 25.26/17.03 (v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0))),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20276, 934, 19326])).
% 25.26/17.03 tff(20278,plain,
% 25.26/17.03 (v90(constB120, bitIndex0) | (~v90(constB121, bitIndex0))),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20277, 19338])).
% 25.26/17.03 tff(20279,plain,
% 25.26/17.03 (v90(constB120, bitIndex0)),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20278, 20270])).
% 25.26/17.03 tff(20280,plain,
% 25.26/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB119, bitIndex0) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB119, bitIndex0) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex0)))),
% 25.26/17.03 inference(rewrite,[status(thm)],[])).
% 25.26/17.03 tff(20281,plain,
% 25.26/17.03 (((~nextState(constB119, constB120)) | v90(constB119, bitIndex0) | v100(constB120) | (~v90(constB120, bitIndex0))) <=> (v90(constB119, bitIndex0) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex0)))),
% 25.26/17.03 inference(rewrite,[status(thm)],[])).
% 25.26/17.03 tff(20282,plain,
% 25.26/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB119, constB120)) | v90(constB119, bitIndex0) | v100(constB120) | (~v90(constB120, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB119, bitIndex0) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex0))))),
% 25.26/17.03 inference(monotonicity,[status(thm)],[20281])).
% 25.26/17.03 tff(20283,plain,
% 25.26/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB119, constB120)) | v90(constB119, bitIndex0) | v100(constB120) | (~v90(constB120, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB119, bitIndex0) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex0)))),
% 25.26/17.03 inference(transitivity,[status(thm)],[20282, 20280])).
% 25.26/17.03 tff(20284,plain,
% 25.26/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB119, constB120)) | v90(constB119, bitIndex0) | v100(constB120) | (~v90(constB120, bitIndex0)))),
% 25.26/17.03 inference(quant_inst,[status(thm)],[])).
% 25.26/17.03 tff(20285,plain,
% 25.26/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB119, bitIndex0) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex0))),
% 25.26/17.03 inference(modus_ponens,[status(thm)],[20284, 20283])).
% 25.26/17.03 tff(20286,plain,
% 25.26/17.03 (v90(constB119, bitIndex0) | v100(constB120) | (~v90(constB120, bitIndex0))),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20285, 934, 19264])).
% 25.26/17.03 tff(20287,plain,
% 25.26/17.03 (v100(constB120) | (~v90(constB120, bitIndex0))),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20286, 19213])).
% 25.26/17.03 tff(20288,plain,
% 25.26/17.03 (v100(constB120)),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[20287, 20279])).
% 25.26/17.03 tff(20289,plain,
% 25.26/17.03 (v129(constB120, bitIndex2)),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[19318, 1845, 20288, 20261])).
% 25.26/17.03 tff(20290,plain,
% 25.26/17.03 (v127(constB119, bitIndex2)),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[19314, 20289])).
% 25.26/17.03 tff(20291,plain,
% 25.26/17.03 (v26(constB119)),
% 25.26/17.03 inference(unit_resolution,[status(thm)],[19309, 20290])).
% 25.26/17.03 tff(20292,plain,
% 25.26/17.03 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120)))),
% 25.26/17.03 inference(rewrite,[status(thm)],[])).
% 25.26/17.03 tff(20293,plain,
% 25.26/17.03 (((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0)) <=> ((~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120)))),
% 25.26/17.03 inference(rewrite,[status(thm)],[])).
% 25.26/17.03 tff(20294,plain,
% 25.26/17.03 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120))))),
% 25.26/17.03 inference(monotonicity,[status(thm)],[20293])).
% 25.26/17.03 tff(20295,plain,
% 25.26/17.03 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120)))),
% 25.26/17.03 inference(transitivity,[status(thm)],[20294, 20292])).
% 25.26/17.03 tff(20296,plain,
% 25.26/17.03 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0))),
% 25.26/17.03 inference(quant_inst,[status(thm)],[])).
% 25.26/17.03 tff(20297,plain,
% 25.26/17.03 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120))),
% 25.26/17.03 inference(modus_ponens,[status(thm)],[20296, 20295])).
% 25.26/17.04 tff(20298,plain,
% 25.26/17.04 (v129(constB120, bitIndex0)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20297, 1374, 20288, 20279])).
% 25.26/17.04 tff(20299,plain,
% 25.26/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20300,plain,
% 25.26/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0)))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20301,plain,
% 25.26/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0))),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20300, 20299])).
% 25.26/17.04 tff(20302,plain,
% 25.26/17.04 (v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0))),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20301, 1359, 19264])).
% 25.26/17.04 tff(20303,plain,
% 25.26/17.04 (v127(constB119, bitIndex0)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20302, 20298])).
% 25.26/17.04 tff(20304,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB119)) | (~v127(constB119, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB119)) | (~v127(constB119, bitIndex0)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20305,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB119)) | (~v127(constB119, bitIndex0)))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20306,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB119)) | (~v127(constB119, bitIndex0))),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20305, 20304])).
% 25.26/17.04 tff(20307,plain,
% 25.26/17.04 ($false),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20306, 2189, 20303, 20291])).
% 25.26/17.04 tff(20308,plain,(v100(constB122) | (~v90(constB122, bitIndex2)) | (~v90(constB122, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 25.26/17.04 tff(20309,plain,
% 25.26/17.04 (v100(constB122)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20308, 20258, 20248])).
% 25.26/17.04 tff(20310,plain,
% 25.26/17.04 (v90(constB123, bitIndex1)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20075, 20239, 20172])).
% 25.26/17.04 tff(20311,plain,
% 25.26/17.04 (v90(constB122, bitIndex1)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[19649, 20310])).
% 25.26/17.04 tff(20312,plain,
% 25.26/17.04 (v129(constB122, bitIndex1) | (~v100(constB122))),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[19639, 1303, 20311])).
% 25.26/17.04 tff(20313,plain,
% 25.26/17.04 (v129(constB122, bitIndex1)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20312, 20309])).
% 25.26/17.04 tff(20314,plain,
% 25.26/17.04 (v127(constB121, bitIndex1)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[19632, 20313])).
% 25.26/17.04 tff(20315,assumption,(~v129(constB122, bitIndex0)), introduced(assumption)).
% 25.26/17.04 tff(20316,plain,
% 25.26/17.04 (v129(constB122, bitIndex0) | (~v100(constB122))),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[19673, 1374, 20262])).
% 25.26/17.04 tff(20317,plain,
% 25.26/17.04 (~v100(constB122)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20316, 20315])).
% 25.26/17.04 tff(20318,plain,
% 25.26/17.04 (~v110(constB122)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[19453, 20317])).
% 25.26/17.04 tff(20319,plain,
% 25.26/17.04 (~v108(constB121)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[19461, 20318])).
% 25.26/17.04 tff(20320,plain,
% 25.26/17.04 (~v26(constB121)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[19475, 2441, 20319])).
% 25.26/17.04 tff(20321,plain,
% 25.26/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB121, constB122)) | (~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB121, constB122)) | (~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20322,plain,
% 25.26/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB121, constB122)) | (~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20323,plain,
% 25.26/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB121, constB122)) | (~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0)),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20322, 20321])).
% 25.26/17.04 tff(20324,plain,
% 25.26/17.04 ((~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20323, 1960, 19425])).
% 25.26/17.04 tff(20325,plain,
% 25.26/17.04 (~v127(constB121, bitIndex0)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20324, 20315])).
% 25.26/17.04 tff(20326,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB121) | (~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB121) | (~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20327,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB121) | (~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20328,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB121) | (~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0)),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20327, 20326])).
% 25.26/17.04 tff(20329,plain,
% 25.26/17.04 (~v130(constB121, bitIndex0)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20328, 1945, 20325, 20320])).
% 25.26/17.04 tff(20330,plain,
% 25.26/17.04 (v90(constB121, bitIndex2)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[19578, 20317, 20259])).
% 25.26/17.04 tff(20331,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB121)) | (~v90(constB121, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB121)) | (~v90(constB121, bitIndex2)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20332,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB121)) | (~v90(constB121, bitIndex2)))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20333,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB121)) | (~v90(constB121, bitIndex2))),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20332, 20331])).
% 25.26/17.04 tff(20334,plain,
% 25.26/17.04 (~v122(constB121)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20333, 1740, 20330])).
% 25.26/17.04 tff(20335,assumption,(v90(constB122, bitIndex1)), introduced(assumption)).
% 25.26/17.04 tff(20336,plain,
% 25.26/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB121, bitIndex1) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB121, bitIndex1) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex1)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20337,plain,
% 25.26/17.04 (((~nextState(constB121, constB122)) | v90(constB121, bitIndex1) | v100(constB122) | (~v90(constB122, bitIndex1))) <=> (v90(constB121, bitIndex1) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex1)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20338,plain,
% 25.26/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v90(constB121, bitIndex1) | v100(constB122) | (~v90(constB122, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB121, bitIndex1) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex1))))),
% 25.26/17.04 inference(monotonicity,[status(thm)],[20337])).
% 25.26/17.04 tff(20339,plain,
% 25.26/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v90(constB121, bitIndex1) | v100(constB122) | (~v90(constB122, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB121, bitIndex1) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex1)))),
% 25.26/17.04 inference(transitivity,[status(thm)],[20338, 20336])).
% 25.26/17.04 tff(20340,plain,
% 25.26/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v90(constB121, bitIndex1) | v100(constB122) | (~v90(constB122, bitIndex1)))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20341,plain,
% 25.26/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB121, bitIndex1) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex1))),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20340, 20339])).
% 25.26/17.04 tff(20342,plain,
% 25.26/17.04 (v90(constB121, bitIndex1) | v100(constB122) | (~v90(constB122, bitIndex1))),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20341, 913, 19425])).
% 25.26/17.04 tff(20343,plain,
% 25.26/17.04 (v90(constB121, bitIndex1)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20342, 20317, 20335])).
% 25.26/17.04 tff(20344,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB121)) | (~v90(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB121)) | (~v90(constB121, bitIndex1)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20345,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB121)) | (~v90(constB121, bitIndex1)))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20346,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB121)) | (~v90(constB121, bitIndex1))),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20345, 20344])).
% 25.26/17.04 tff(20347,plain,
% 25.26/17.04 (~v120(constB121)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20346, 1762, 20343])).
% 25.26/17.04 tff(20348,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB121)) | (~v90(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB121)) | (~v90(constB121, bitIndex1)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20349,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB121)) | (~v90(constB121, bitIndex1)))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20350,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB121)) | (~v90(constB121, bitIndex1))),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20349, 20348])).
% 25.26/17.04 tff(20351,plain,
% 25.26/17.04 (~v124(constB121)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20350, 1784, 20343])).
% 25.26/17.04 tff(20352,plain,
% 25.26/17.04 (v90(constB121, bitIndex0)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20269, 20317, 20262])).
% 25.26/17.04 tff(20353,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB121)) | (~v90(constB121, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB121)) | (~v90(constB121, bitIndex0)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20354,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB121)) | (~v90(constB121, bitIndex0)))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20355,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB121)) | (~v90(constB121, bitIndex0))),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20354, 20353])).
% 25.26/17.04 tff(20356,plain,
% 25.26/17.04 (~v119(constB121)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20355, 11913, 20352])).
% 25.26/17.04 tff(20357,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB121)) | (~v90(constB121, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB121)) | (~v90(constB121, bitIndex0)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20358,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB121)) | (~v90(constB121, bitIndex0)))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20359,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB121)) | (~v90(constB121, bitIndex0))),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20358, 20357])).
% 25.26/17.04 tff(20360,plain,
% 25.26/17.04 (~v121(constB121)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20359, 11924, 20352])).
% 25.26/17.04 tff(20361,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v123(constB121)) | (~v90(constB121, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v123(constB121)) | (~v90(constB121, bitIndex0)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20362,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v123(constB121)) | (~v90(constB121, bitIndex0)))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20363,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v123(constB121)) | (~v90(constB121, bitIndex0))),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20362, 20361])).
% 25.26/17.04 tff(20364,plain,
% 25.26/17.04 (~v123(constB121)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20363, 11935, 20352])).
% 25.26/17.04 tff(20365,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, bitIndex0))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20366,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, bitIndex0))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20367,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, bitIndex0)),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20366, 20365])).
% 25.26/17.04 tff(20368,plain,
% 25.26/17.04 ($false),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20367, 1931, 20364, 20360, 20356, 20351, 20347, 20334, 20329])).
% 25.26/17.04 tff(20369,plain,(v129(constB122, bitIndex0) | (~v90(constB122, bitIndex2)) | (~v90(constB122, bitIndex1)) | (~v90(constB122, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 25.26/17.04 tff(20370,plain,
% 25.26/17.04 (v129(constB122, bitIndex0)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20369, 20258, 20311, 20248])).
% 25.26/17.04 tff(20371,plain,
% 25.26/17.04 (v127(constB121, bitIndex0)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[19666, 20370])).
% 25.26/17.04 tff(20372,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB121)) | (~v127(constB121, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB121)) | (~v127(constB121, bitIndex0)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20373,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB121)) | (~v127(constB121, bitIndex0)))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20374,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB121)) | (~v127(constB121, bitIndex0))),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20373, 20372])).
% 25.26/17.04 tff(20375,plain,
% 25.26/17.04 (~v26(constB121)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20374, 2189, 20371])).
% 25.26/17.04 tff(20376,plain,
% 25.26/17.04 ((~v127(constB121, bitIndex1)) | v130(constB121, bitIndex1)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[19626, 1270, 20375])).
% 25.26/17.04 tff(20377,plain,
% 25.26/17.04 (v130(constB121, bitIndex1)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20376, 20314])).
% 25.26/17.04 tff(20378,plain,
% 25.26/17.04 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20379,plain,
% 25.26/17.04 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20380,plain,
% 25.26/17.04 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122))),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20379, 20378])).
% 25.26/17.04 tff(20381,plain,
% 25.26/17.04 (v129(constB122, bitIndex2) | (~v100(constB122))),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20380, 1845, 20258])).
% 25.26/17.04 tff(20382,plain,
% 25.26/17.04 (v129(constB122, bitIndex2)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20381, 20309])).
% 25.26/17.04 tff(20383,plain,
% 25.26/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20384,plain,
% 25.26/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2)))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20385,plain,
% 25.26/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2))),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20384, 20383])).
% 25.26/17.04 tff(20386,plain,
% 25.26/17.04 (v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2))),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20385, 1830, 19425])).
% 25.26/17.04 tff(20387,plain,
% 25.26/17.04 (v127(constB121, bitIndex2)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20386, 20382])).
% 25.26/17.04 tff(20388,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20389,plain,
% 25.26/17.04 ((v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2))) <=> ((~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20390,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2)))),
% 25.26/17.04 inference(monotonicity,[status(thm)],[20389])).
% 25.26/17.04 tff(20391,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))),
% 25.26/17.04 inference(transitivity,[status(thm)],[20390, 20388])).
% 25.26/17.04 tff(20392,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2)))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20393,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2)),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20392, 20391])).
% 25.26/17.04 tff(20394,plain,
% 25.26/17.04 ((~v127(constB121, bitIndex2)) | v130(constB121, bitIndex2)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20393, 1812, 20375])).
% 25.26/17.04 tff(20395,plain,
% 25.26/17.04 (v130(constB121, bitIndex2)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20394, 20387])).
% 25.26/17.04 tff(20396,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB121)) | (~v130(constB121, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB121)) | (~v130(constB121, bitIndex2)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20397,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB121)) | (~v130(constB121, bitIndex2)))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20398,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB121)) | (~v130(constB121, bitIndex2))),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20397, 20396])).
% 25.26/17.04 tff(20399,plain,
% 25.26/17.04 (~v124(constB121)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20398, 4807, 20395])).
% 25.26/17.04 tff(20400,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB121)) | (~v130(constB121, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB121)) | (~v130(constB121, bitIndex2)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20401,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB121)) | (~v130(constB121, bitIndex2)))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20402,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB121)) | (~v130(constB121, bitIndex2))),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20401, 20400])).
% 25.26/17.04 tff(20403,plain,
% 25.26/17.04 (~v121(constB121)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20402, 2406, 20395])).
% 25.26/17.04 tff(20404,plain,
% 25.26/17.04 (v130(constB121, bitIndex0)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[19660, 1341, 20371, 20375])).
% 25.26/17.04 tff(20405,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB121)) | (~v130(constB121, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB121)) | (~v130(constB121, bitIndex0)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20406,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB121)) | (~v130(constB121, bitIndex0)))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20407,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB121)) | (~v130(constB121, bitIndex0))),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20406, 20405])).
% 25.26/17.04 tff(20408,plain,
% 25.26/17.04 (~v120(constB121)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20407, 2023, 20404])).
% 25.26/17.04 tff(20409,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB121)) | (~v130(constB121, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB121)) | (~v130(constB121, bitIndex0)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20410,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB121)) | (~v130(constB121, bitIndex0)))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20411,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB121)) | (~v130(constB121, bitIndex0))),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20410, 20409])).
% 25.26/17.04 tff(20412,plain,
% 25.26/17.04 (~v119(constB121)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20411, 1327, 20404])).
% 25.26/17.04 tff(20413,plain,
% 25.26/17.04 (~v122(constB121)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[19653, 2833, 20404])).
% 25.26/17.04 tff(20414,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB121)) | (~v130(constB121, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB121)) | (~v130(constB121, bitIndex0)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20415,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB121)) | (~v130(constB121, bitIndex0)))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20416,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB121)) | (~v130(constB121, bitIndex0))),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20415, 20414])).
% 25.26/17.04 tff(20417,plain,
% 25.26/17.04 (~v123(constB121)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20416, 1617, 20404])).
% 25.26/17.04 tff(20418,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20419,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1)))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20420,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1))),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20419, 20418])).
% 25.26/17.04 tff(20421,plain,
% 25.26/17.04 (v121(constB121) | v124(constB121) | (~v130(constB121, bitIndex1))),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20420, 1887, 20417, 20413, 20412, 20408])).
% 25.26/17.04 tff(20422,plain,
% 25.26/17.04 ($false),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20421, 20403, 20399, 20377])).
% 25.26/17.04 tff(20423,plain,(v113(constB125)), inference(lemma,lemma(discharge,[]))).
% 25.26/17.04 tff(20424,assumption,(~v108(constB125)), introduced(assumption)).
% 25.26/17.04 tff(20425,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB125) | (~v112(constB125)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v112(constB125)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20426,plain,
% 25.26/17.04 (((~v112(constB125)) | v108(constB125)) <=> (v108(constB125) | (~v112(constB125)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20427,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB125)) | v108(constB125))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB125) | (~v112(constB125))))),
% 25.26/17.04 inference(monotonicity,[status(thm)],[20426])).
% 25.26/17.04 tff(20428,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB125)) | v108(constB125))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v112(constB125)))),
% 25.26/17.04 inference(transitivity,[status(thm)],[20427, 20425])).
% 25.26/17.04 tff(20429,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB125)) | v108(constB125))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20430,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v112(constB125))),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20429, 20428])).
% 25.26/17.04 tff(20431,plain,
% 25.26/17.04 (~v112(constB125)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20430, 1062, 20424])).
% 25.26/17.04 tff(20432,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB125) | (~v26(constB125)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v26(constB125)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20433,plain,
% 25.26/17.04 (((~v26(constB125)) | v108(constB125)) <=> (v108(constB125) | (~v26(constB125)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20434,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB125)) | v108(constB125))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB125) | (~v26(constB125))))),
% 25.26/17.04 inference(monotonicity,[status(thm)],[20433])).
% 25.26/17.04 tff(20435,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB125)) | v108(constB125))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v26(constB125)))),
% 25.26/17.04 inference(transitivity,[status(thm)],[20434, 20432])).
% 25.26/17.04 tff(20436,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB125)) | v108(constB125))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20437,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v26(constB125))),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20436, 20435])).
% 25.26/17.04 tff(20438,plain,
% 25.26/17.04 (~v26(constB125)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20437, 2441, 20424])).
% 25.26/17.04 tff(20439,assumption,(v113(constB125)), introduced(assumption)).
% 25.26/17.04 tff(20440,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | v112(constB125) | (~v113(constB125)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | v112(constB125) | (~v113(constB125)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20441,plain,
% 25.26/17.04 ((v26(constB125) | (~v113(constB125)) | v112(constB125)) <=> (v26(constB125) | v112(constB125) | (~v113(constB125)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20442,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | v112(constB125) | (~v113(constB125))))),
% 25.26/17.04 inference(monotonicity,[status(thm)],[20441])).
% 25.26/17.04 tff(20443,plain,
% 25.26/17.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | v112(constB125) | (~v113(constB125)))),
% 25.26/17.04 inference(transitivity,[status(thm)],[20442, 20440])).
% 25.26/17.04 tff(20444,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20445,plain,
% 25.26/17.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | v112(constB125) | (~v113(constB125))),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20444, 20443])).
% 25.26/17.04 tff(20446,plain,
% 25.26/17.04 (v26(constB125) | v112(constB125)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20445, 1050, 20439])).
% 25.26/17.04 tff(20447,plain,
% 25.26/17.04 ($false),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20446, 20438, 20431])).
% 25.26/17.04 tff(20448,plain,(v108(constB125) | (~v113(constB125))), inference(lemma,lemma(discharge,[]))).
% 25.26/17.04 tff(20449,plain,
% 25.26/17.04 (v108(constB125)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20448, 20423])).
% 25.26/17.04 tff(20450,plain,
% 25.26/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20451,plain,
% 25.26/17.04 (((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126)) <=> ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 25.26/17.04 inference(rewrite,[status(thm)],[])).
% 25.26/17.04 tff(20452,plain,
% 25.26/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125))))),
% 25.26/17.04 inference(monotonicity,[status(thm)],[20451])).
% 25.26/17.04 tff(20453,plain,
% 25.26/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 25.26/17.04 inference(transitivity,[status(thm)],[20452, 20450])).
% 25.26/17.04 tff(20454,plain,
% 25.26/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))),
% 25.26/17.04 inference(quant_inst,[status(thm)],[])).
% 25.26/17.04 tff(20455,plain,
% 25.26/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125))),
% 25.26/17.04 inference(modus_ponens,[status(thm)],[20454, 20453])).
% 25.26/17.04 tff(20456,plain,
% 25.26/17.04 (v110(constB126) | (~v108(constB125))),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20455, 1082, 19882])).
% 25.26/17.04 tff(20457,plain,
% 25.26/17.04 (v110(constB126)),
% 25.26/17.04 inference(unit_resolution,[status(thm)],[20456, 20449])).
% 25.26/17.05 tff(20458,plain,
% 25.26/17.05 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))),
% 25.26/17.05 inference(rewrite,[status(thm)],[])).
% 25.26/17.05 tff(20459,plain,
% 25.26/17.05 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))),
% 25.26/17.05 inference(quant_inst,[status(thm)],[])).
% 25.26/17.05 tff(20460,plain,
% 25.26/17.05 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126))),
% 25.26/17.05 inference(modus_ponens,[status(thm)],[20459, 20458])).
% 25.26/17.05 tff(20461,plain,
% 25.26/17.05 (~v104(constB126)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20460, 1100, 19882, 19784])).
% 25.26/17.05 tff(20462,plain,
% 25.26/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))),
% 25.26/17.05 inference(rewrite,[status(thm)],[])).
% 25.26/17.05 tff(20463,plain,
% 25.26/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))),
% 25.26/17.05 inference(quant_inst,[status(thm)],[])).
% 25.26/17.05 tff(20464,plain,
% 25.26/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v102(constB126) | v104(constB126)),
% 25.26/17.05 inference(modus_ponens,[status(thm)],[20463, 20462])).
% 25.26/17.05 tff(20465,plain,
% 25.26/17.05 (v102(constB126) | v104(constB126)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20464, 1114, 19882])).
% 25.26/17.05 tff(20466,plain,
% 25.26/17.05 (v102(constB126)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20465, 20461])).
% 25.26/17.05 tff(20467,plain,
% 25.26/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))),
% 25.26/17.05 inference(rewrite,[status(thm)],[])).
% 25.26/17.05 tff(20468,plain,
% 25.26/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))),
% 25.26/17.05 inference(quant_inst,[status(thm)],[])).
% 25.26/17.05 tff(20469,plain,
% 25.26/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126))),
% 25.26/17.05 inference(modus_ponens,[status(thm)],[20468, 20467])).
% 25.26/17.05 tff(20470,plain,
% 25.26/17.05 (v101(constB126) | (~v102(constB126))),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20469, 1129, 19882, 768])).
% 25.26/17.05 tff(20471,plain,
% 25.26/17.05 (v101(constB126)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20470, 20466])).
% 25.26/17.05 tff(20472,plain,
% 25.26/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 25.26/17.05 inference(rewrite,[status(thm)],[])).
% 25.26/17.05 tff(20473,plain,
% 25.26/17.05 (((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126)) <=> ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 25.26/17.05 inference(rewrite,[status(thm)],[])).
% 25.26/17.05 tff(20474,plain,
% 25.26/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126))))),
% 25.26/17.05 inference(monotonicity,[status(thm)],[20473])).
% 25.26/17.05 tff(20475,plain,
% 25.26/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 25.26/17.05 inference(transitivity,[status(thm)],[20474, 20472])).
% 25.26/17.05 tff(20476,plain,
% 25.26/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))),
% 25.26/17.05 inference(quant_inst,[status(thm)],[])).
% 25.26/17.05 tff(20477,plain,
% 25.26/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 25.26/17.05 inference(modus_ponens,[status(thm)],[20476, 20475])).
% 25.26/17.05 tff(20478,plain,
% 25.26/17.05 (v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20477, 1144, 19882])).
% 25.26/17.05 tff(20479,plain,
% 25.26/17.05 (v100(constB126) | (~v110(constB126))),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20478, 20471])).
% 25.26/17.05 tff(20480,plain,
% 25.26/17.05 (v100(constB126)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20479, 20457])).
% 25.26/17.05 tff(20481,plain,
% 25.26/17.05 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB126, bitIndex1)) | v129(constB126, bitIndex1) | (~v100(constB126)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB126, bitIndex1)) | v129(constB126, bitIndex1) | (~v100(constB126)))),
% 25.26/17.05 inference(rewrite,[status(thm)],[])).
% 25.26/17.05 tff(20482,plain,
% 25.26/17.05 (((~v90(constB126, bitIndex1)) | (~v100(constB126)) | v129(constB126, bitIndex1)) <=> ((~v90(constB126, bitIndex1)) | v129(constB126, bitIndex1) | (~v100(constB126)))),
% 25.26/17.05 inference(rewrite,[status(thm)],[])).
% 25.26/17.05 tff(20483,plain,
% 25.26/17.05 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB126, bitIndex1)) | (~v100(constB126)) | v129(constB126, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB126, bitIndex1)) | v129(constB126, bitIndex1) | (~v100(constB126))))),
% 25.26/17.05 inference(monotonicity,[status(thm)],[20482])).
% 25.26/17.05 tff(20484,plain,
% 25.26/17.05 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB126, bitIndex1)) | (~v100(constB126)) | v129(constB126, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB126, bitIndex1)) | v129(constB126, bitIndex1) | (~v100(constB126)))),
% 25.26/17.05 inference(transitivity,[status(thm)],[20483, 20481])).
% 25.26/17.05 tff(20485,plain,
% 25.26/17.05 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB126, bitIndex1)) | (~v100(constB126)) | v129(constB126, bitIndex1))),
% 25.26/17.05 inference(quant_inst,[status(thm)],[])).
% 25.26/17.05 tff(20486,plain,
% 25.26/17.05 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB126, bitIndex1)) | v129(constB126, bitIndex1) | (~v100(constB126))),
% 25.26/17.05 inference(modus_ponens,[status(thm)],[20485, 20484])).
% 25.26/17.05 tff(20487,plain,
% 25.26/17.05 ((~v90(constB126, bitIndex1)) | v129(constB126, bitIndex1)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20486, 1303, 20480])).
% 25.26/17.05 tff(20488,plain,
% 25.26/17.05 (~v90(constB126, bitIndex1)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20487, 19887])).
% 25.26/17.05 tff(20489,plain,
% 25.26/17.05 ((~v1(constB127)) <=> (~v1(constB127))),
% 25.26/17.05 inference(rewrite,[status(thm)],[])).
% 25.26/17.05 tff(20490,axiom,(~v1(constB127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_127_1_1')).
% 25.26/17.05 tff(20491,plain,
% 25.26/17.05 (~v1(constB127)),
% 25.26/17.05 inference(modus_ponens,[status(thm)],[20490, 20489])).
% 25.26/17.05 tff(20492,plain,
% 25.26/17.05 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 25.26/17.05 inference(rewrite,[status(thm)],[])).
% 25.26/17.05 tff(20493,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_126_1')).
% 25.26/17.05 tff(20494,plain,
% 25.26/17.05 (nextState(constB126, constB127)),
% 25.26/17.05 inference(modus_ponens,[status(thm)],[20493, 20492])).
% 25.26/17.05 tff(20495,plain,
% 25.26/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 25.26/17.05 inference(rewrite,[status(thm)],[])).
% 25.26/17.05 tff(20496,plain,
% 25.26/17.05 (((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127)) <=> (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 25.26/17.05 inference(rewrite,[status(thm)],[])).
% 25.26/17.05 tff(20497,plain,
% 25.26/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127))))),
% 25.26/17.05 inference(monotonicity,[status(thm)],[20496])).
% 25.26/17.05 tff(20498,plain,
% 25.26/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 25.26/17.05 inference(transitivity,[status(thm)],[20497, 20495])).
% 25.26/17.05 tff(20499,plain,
% 25.26/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))),
% 25.26/17.05 inference(quant_inst,[status(thm)],[])).
% 25.26/17.05 tff(20500,plain,
% 25.26/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127))),
% 25.26/17.05 inference(modus_ponens,[status(thm)],[20499, 20498])).
% 25.26/17.05 tff(20501,plain,
% 25.26/17.05 (~v101(constB127)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20500, 860, 20494, 20491])).
% 25.26/17.05 tff(20502,plain,
% 25.26/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))),
% 25.26/17.05 inference(rewrite,[status(thm)],[])).
% 25.26/17.05 tff(20503,plain,
% 25.26/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))),
% 25.26/17.05 inference(quant_inst,[status(thm)],[])).
% 25.26/17.05 tff(20504,plain,
% 25.26/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127))),
% 25.26/17.05 inference(modus_ponens,[status(thm)],[20503, 20502])).
% 25.26/17.05 tff(20505,plain,
% 25.26/17.05 (v101(constB127) | (~v100(constB127))),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20504, 877, 20494])).
% 25.26/17.05 tff(20506,plain,
% 25.26/17.05 (~v100(constB127)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20505, 20501])).
% 25.26/17.05 tff(20507,plain,
% 25.26/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex1)))),
% 25.26/17.05 inference(rewrite,[status(thm)],[])).
% 25.26/17.05 tff(20508,plain,
% 25.26/17.05 (((~nextState(constB126, constB127)) | v90(constB126, bitIndex1) | v100(constB127) | (~v90(constB127, bitIndex1))) <=> (v90(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex1)))),
% 25.26/17.05 inference(rewrite,[status(thm)],[])).
% 25.26/17.05 tff(20509,plain,
% 25.26/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex1) | v100(constB127) | (~v90(constB127, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex1))))),
% 25.26/17.05 inference(monotonicity,[status(thm)],[20508])).
% 25.26/17.05 tff(20510,plain,
% 25.26/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex1) | v100(constB127) | (~v90(constB127, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex1)))),
% 25.26/17.05 inference(transitivity,[status(thm)],[20509, 20507])).
% 25.26/17.05 tff(20511,plain,
% 25.26/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex1) | v100(constB127) | (~v90(constB127, bitIndex1)))),
% 25.26/17.05 inference(quant_inst,[status(thm)],[])).
% 25.26/17.05 tff(20512,plain,
% 25.26/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex1))),
% 25.26/17.05 inference(modus_ponens,[status(thm)],[20511, 20510])).
% 25.26/17.05 tff(20513,plain,
% 25.26/17.05 (v90(constB126, bitIndex1) | v100(constB127) | (~v90(constB127, bitIndex1))),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20512, 913, 20494])).
% 25.26/17.05 tff(20514,plain,
% 25.26/17.05 (v90(constB126, bitIndex1) | (~v90(constB127, bitIndex1))),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20513, 20506])).
% 25.26/17.05 tff(20515,plain,
% 25.26/17.05 (~v90(constB127, bitIndex1)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20514, 20488])).
% 25.26/17.05 tff(20516,plain,
% 25.26/17.05 (~v130(constB123, bitIndex0)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20162, 1617, 19688])).
% 25.26/17.05 tff(20517,plain,
% 25.26/17.05 (~v127(constB123, bitIndex0)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20158, 20516])).
% 25.26/17.05 tff(20518,plain,
% 25.26/17.05 (~v129(constB124, bitIndex0)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20150, 20517])).
% 25.26/17.05 tff(20519,plain,
% 25.26/17.05 ((~v90(constB124, bitIndex0)) | (~v100(constB124))),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20066, 1374, 20518])).
% 25.26/17.05 tff(20520,plain,
% 25.26/17.05 (~v90(constB124, bitIndex0)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20519, 19759])).
% 25.26/17.05 tff(20521,plain,
% 25.26/17.05 (~v90(constB125, bitIndex0)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20021, 20520])).
% 25.26/17.05 tff(20522,plain,
% 25.26/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex0))),
% 25.26/17.05 inference(rewrite,[status(thm)],[])).
% 25.26/17.05 tff(20523,plain,
% 25.26/17.05 (((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex0)) | v100(constB125) | v90(constB125, bitIndex0)) <=> ((~v90(constB124, bitIndex0)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex0))),
% 25.26/17.05 inference(rewrite,[status(thm)],[])).
% 25.26/17.05 tff(20524,plain,
% 25.26/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex0)) | v100(constB125) | v90(constB125, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex0)))),
% 25.26/17.05 inference(monotonicity,[status(thm)],[20523])).
% 25.26/17.05 tff(20525,plain,
% 25.26/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex0)) | v100(constB125) | v90(constB125, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex0))),
% 25.26/17.05 inference(transitivity,[status(thm)],[20524, 20522])).
% 25.26/17.05 tff(20526,plain,
% 25.26/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex0)) | v100(constB125) | v90(constB125, bitIndex0))),
% 25.26/17.05 inference(quant_inst,[status(thm)],[])).
% 25.26/17.05 tff(20527,plain,
% 25.26/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex0)),
% 25.26/17.05 inference(modus_ponens,[status(thm)],[20526, 20525])).
% 25.26/17.05 tff(20528,plain,
% 25.26/17.05 ((~v90(constB124, bitIndex0)) | v100(constB125) | v90(constB125, bitIndex0)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20527, 1993, 19787])).
% 25.26/17.05 tff(20529,plain,
% 25.26/17.05 ((~v90(constB124, bitIndex0)) | v90(constB125, bitIndex0)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20528, 19799])).
% 25.26/17.05 tff(20530,plain,
% 25.26/17.05 (~v90(constB124, bitIndex0)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20529, 19969])).
% 25.26/17.05 tff(20531,plain,
% 25.26/17.05 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB125)) | v90(constB125, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB125)) | v90(constB125, bitIndex0))),
% 25.26/17.05 inference(rewrite,[status(thm)],[])).
% 25.26/17.05 tff(20532,plain,
% 25.26/17.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB125)) | v90(constB125, bitIndex0))),
% 25.26/17.05 inference(quant_inst,[status(thm)],[])).
% 25.26/17.05 tff(20533,plain,
% 25.26/17.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB125)) | v90(constB125, bitIndex0)),
% 25.26/17.05 inference(modus_ponens,[status(thm)],[20532, 20531])).
% 25.26/17.05 tff(20534,plain,
% 25.26/17.05 (~v122(constB125)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20533, 3163, 19969])).
% 25.26/17.05 tff(20535,assumption,(~v130(constB125, bitIndex0)), introduced(assumption)).
% 25.26/17.05 tff(20536,plain,
% 25.26/17.05 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v130(constB125, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v130(constB125, bitIndex0))),
% 25.26/17.05 inference(rewrite,[status(thm)],[])).
% 25.26/17.05 tff(20537,plain,
% 25.26/17.05 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v130(constB125, bitIndex0))),
% 25.26/17.05 inference(quant_inst,[status(thm)],[])).
% 25.26/17.05 tff(20538,plain,
% 25.26/17.05 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v130(constB125, bitIndex0)),
% 25.26/17.05 inference(modus_ponens,[status(thm)],[20537, 20536])).
% 25.26/17.05 tff(20539,plain,
% 25.26/17.05 (v119(constB125) | v122(constB125)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20538, 1931, 19967, 19991, 19985, 20006, 20535])).
% 25.26/17.05 tff(20540,plain,
% 25.26/17.05 (v119(constB125)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20539, 20534])).
% 25.26/17.05 tff(20541,plain,
% 25.26/17.05 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB125)) | (~v90(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB125)) | (~v90(constB125, bitIndex2)))),
% 25.26/17.05 inference(rewrite,[status(thm)],[])).
% 25.26/17.05 tff(20542,plain,
% 25.26/17.05 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB125)) | (~v90(constB125, bitIndex2)))),
% 25.26/17.05 inference(quant_inst,[status(thm)],[])).
% 25.26/17.05 tff(20543,plain,
% 25.26/17.05 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB125)) | (~v90(constB125, bitIndex2))),
% 25.26/17.05 inference(modus_ponens,[status(thm)],[20542, 20541])).
% 25.26/17.05 tff(20544,plain,
% 25.26/17.05 (~v90(constB125, bitIndex2)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20543, 12236, 20540])).
% 25.26/17.05 tff(20545,plain,
% 25.26/17.05 (~v90(constB124, bitIndex2)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[19807, 20544])).
% 25.26/17.05 tff(20546,plain,
% 25.26/17.05 (~v90(constB125, bitIndex1)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[19862, 1751, 20540])).
% 25.26/17.05 tff(20547,plain,
% 25.26/17.05 (~v90(constB124, bitIndex1)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[19846, 20546])).
% 25.26/17.05 tff(20548,assumption,(~v90(constB124, bitIndex2)), introduced(assumption)).
% 25.26/17.05 tff(20549,assumption,(~v90(constB124, bitIndex1)), introduced(assumption)).
% 25.26/17.05 tff(20550,assumption,(~v90(constB124, bitIndex0)), introduced(assumption)).
% 25.26/17.05 tff(20551,assumption,(~v100(constB124)), introduced(assumption)).
% 25.26/17.05 tff(20552,plain,
% 25.26/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB123, bitIndex2)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB123, bitIndex2)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex2))),
% 25.26/17.05 inference(rewrite,[status(thm)],[])).
% 25.26/17.05 tff(20553,plain,
% 25.26/17.05 (((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex2)) | v100(constB124) | v90(constB124, bitIndex2)) <=> ((~v90(constB123, bitIndex2)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex2))),
% 25.26/17.05 inference(rewrite,[status(thm)],[])).
% 25.26/17.05 tff(20554,plain,
% 25.26/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex2)) | v100(constB124) | v90(constB124, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB123, bitIndex2)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex2)))),
% 25.26/17.05 inference(monotonicity,[status(thm)],[20553])).
% 25.26/17.05 tff(20555,plain,
% 25.26/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex2)) | v100(constB124) | v90(constB124, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB123, bitIndex2)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex2))),
% 25.26/17.05 inference(transitivity,[status(thm)],[20554, 20552])).
% 25.26/17.05 tff(20556,plain,
% 25.26/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex2)) | v100(constB124) | v90(constB124, bitIndex2))),
% 25.26/17.05 inference(quant_inst,[status(thm)],[])).
% 25.26/17.05 tff(20557,plain,
% 25.26/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB123, bitIndex2)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex2)),
% 25.26/17.05 inference(modus_ponens,[status(thm)],[20556, 20555])).
% 25.26/17.05 tff(20558,plain,
% 25.26/17.05 ((~v90(constB123, bitIndex2)) | v100(constB124) | v90(constB124, bitIndex2)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20557, 1240, 19728])).
% 25.26/17.05 tff(20559,plain,
% 25.26/17.05 (~v90(constB123, bitIndex2)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20558, 20551, 20548])).
% 25.26/17.05 tff(20560,plain,
% 25.26/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB123, bitIndex1)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB123, bitIndex1)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex1))),
% 25.26/17.05 inference(rewrite,[status(thm)],[])).
% 25.26/17.05 tff(20561,plain,
% 25.26/17.05 (((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex1)) | v100(constB124) | v90(constB124, bitIndex1)) <=> ((~v90(constB123, bitIndex1)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex1))),
% 25.26/17.05 inference(rewrite,[status(thm)],[])).
% 25.26/17.05 tff(20562,plain,
% 25.26/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex1)) | v100(constB124) | v90(constB124, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB123, bitIndex1)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex1)))),
% 25.26/17.05 inference(monotonicity,[status(thm)],[20561])).
% 25.26/17.05 tff(20563,plain,
% 25.26/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex1)) | v100(constB124) | v90(constB124, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB123, bitIndex1)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex1))),
% 25.26/17.05 inference(transitivity,[status(thm)],[20562, 20560])).
% 25.26/17.05 tff(20564,plain,
% 25.26/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex1)) | v100(constB124) | v90(constB124, bitIndex1))),
% 25.26/17.05 inference(quant_inst,[status(thm)],[])).
% 25.26/17.05 tff(20565,plain,
% 25.26/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB123, bitIndex1)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex1)),
% 25.26/17.05 inference(modus_ponens,[status(thm)],[20564, 20563])).
% 25.26/17.05 tff(20566,plain,
% 25.26/17.05 ((~v90(constB123, bitIndex1)) | v100(constB124) | v90(constB124, bitIndex1)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20565, 1601, 19728])).
% 25.26/17.05 tff(20567,plain,
% 25.26/17.05 (~v90(constB123, bitIndex1)),
% 25.26/17.05 inference(unit_resolution,[status(thm)],[20566, 20551, 20549])).
% 25.26/17.05 tff(20568,plain,
% 25.26/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB123, bitIndex0)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB123, bitIndex0)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex0))),
% 25.26/17.05 inference(rewrite,[status(thm)],[])).
% 25.26/17.05 tff(20569,plain,
% 25.26/17.05 (((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex0)) | v100(constB124) | v90(constB124, bitIndex0)) <=> ((~v90(constB123, bitIndex0)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex0))),
% 25.26/17.05 inference(rewrite,[status(thm)],[])).
% 25.26/17.05 tff(20570,plain,
% 25.26/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex0)) | v100(constB124) | v90(constB124, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB123, bitIndex0)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex0)))),
% 25.26/17.05 inference(monotonicity,[status(thm)],[20569])).
% 25.26/17.05 tff(20571,plain,
% 25.26/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex0)) | v100(constB124) | v90(constB124, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB123, bitIndex0)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex0))),
% 25.26/17.06 inference(transitivity,[status(thm)],[20570, 20568])).
% 25.26/17.06 tff(20572,plain,
% 25.26/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex0)) | v100(constB124) | v90(constB124, bitIndex0))),
% 25.26/17.06 inference(quant_inst,[status(thm)],[])).
% 25.26/17.06 tff(20573,plain,
% 25.26/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB123, bitIndex0)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex0)),
% 25.26/17.06 inference(modus_ponens,[status(thm)],[20572, 20571])).
% 25.26/17.06 tff(20574,plain,
% 25.26/17.06 ((~v90(constB123, bitIndex0)) | v100(constB124) | v90(constB124, bitIndex0)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20573, 1993, 19728])).
% 25.26/17.06 tff(20575,plain,
% 25.26/17.06 (~v90(constB123, bitIndex0)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20574, 20551, 20550])).
% 25.26/17.06 tff(20576,plain,
% 25.26/17.06 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v119(constB123))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v119(constB123))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20577,plain,
% 25.26/17.06 ((v90(constB123, bitIndex0) | v119(constB123) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2)) <=> (v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v119(constB123))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20578,plain,
% 25.26/17.06 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB123, bitIndex0) | v119(constB123) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v119(constB123)))),
% 25.26/17.06 inference(monotonicity,[status(thm)],[20577])).
% 25.26/17.06 tff(20579,plain,
% 25.26/17.06 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB123, bitIndex0) | v119(constB123) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v119(constB123))),
% 25.26/17.06 inference(transitivity,[status(thm)],[20578, 20576])).
% 25.26/17.06 tff(20580,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB123, bitIndex0) | v119(constB123) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2))),
% 25.26/17.06 inference(quant_inst,[status(thm)],[])).
% 25.26/17.06 tff(20581,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v119(constB123)),
% 25.26/17.06 inference(modus_ponens,[status(thm)],[20580, 20579])).
% 25.26/17.06 tff(20582,plain,
% 25.26/17.06 (v119(constB123)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20581, 955, 20575, 20567, 20559])).
% 25.26/17.06 tff(20583,plain,
% 25.26/17.06 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB123) | (~v119(constB123)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB123) | (~v119(constB123)))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20584,plain,
% 25.26/17.06 (((~v119(constB123)) | v118(constB123)) <=> (v118(constB123) | (~v119(constB123)))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20585,plain,
% 25.26/17.06 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB123)) | v118(constB123))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB123) | (~v119(constB123))))),
% 25.26/17.06 inference(monotonicity,[status(thm)],[20584])).
% 25.26/17.06 tff(20586,plain,
% 25.26/17.06 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB123)) | v118(constB123))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB123) | (~v119(constB123)))),
% 25.26/17.06 inference(transitivity,[status(thm)],[20585, 20583])).
% 25.26/17.06 tff(20587,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB123)) | v118(constB123))),
% 25.26/17.06 inference(quant_inst,[status(thm)],[])).
% 25.26/17.06 tff(20588,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB123) | (~v119(constB123))),
% 25.26/17.06 inference(modus_ponens,[status(thm)],[20587, 20586])).
% 25.26/17.06 tff(20589,plain,
% 25.26/17.06 (v118(constB123)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20588, 969, 20582])).
% 25.26/17.06 tff(20590,plain,
% 25.26/17.06 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB123) | (~v118(constB123)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB123) | (~v118(constB123)))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20591,plain,
% 25.26/17.06 (((~v118(constB123)) | v117(constB123)) <=> (v117(constB123) | (~v118(constB123)))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20592,plain,
% 25.26/17.06 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB123)) | v117(constB123))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB123) | (~v118(constB123))))),
% 25.26/17.06 inference(monotonicity,[status(thm)],[20591])).
% 25.26/17.06 tff(20593,plain,
% 25.26/17.06 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB123)) | v117(constB123))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB123) | (~v118(constB123)))),
% 25.26/17.06 inference(transitivity,[status(thm)],[20592, 20590])).
% 25.26/17.06 tff(20594,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB123)) | v117(constB123))),
% 25.26/17.06 inference(quant_inst,[status(thm)],[])).
% 25.26/17.06 tff(20595,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB123) | (~v118(constB123))),
% 25.26/17.06 inference(modus_ponens,[status(thm)],[20594, 20593])).
% 25.26/17.06 tff(20596,plain,
% 25.26/17.06 (v117(constB123)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20595, 980, 20589])).
% 25.26/17.06 tff(20597,plain,
% 25.26/17.06 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB123)) | v116(constB123))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB123)) | v116(constB123))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20598,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB123)) | v116(constB123))),
% 25.26/17.06 inference(quant_inst,[status(thm)],[])).
% 25.26/17.06 tff(20599,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB123)) | v116(constB123)),
% 25.26/17.06 inference(modus_ponens,[status(thm)],[20598, 20597])).
% 25.26/17.06 tff(20600,plain,
% 25.26/17.06 (v116(constB123)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20599, 994, 20596])).
% 25.26/17.06 tff(20601,plain,
% 25.26/17.06 (~v110(constB124)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[19758, 20551])).
% 25.26/17.06 tff(20602,plain,
% 25.26/17.06 (~v108(constB123)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[19735, 20601])).
% 25.26/17.06 tff(20603,plain,
% 25.26/17.06 (~v112(constB123)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[19724, 1062, 20602])).
% 25.26/17.06 tff(20604,plain,
% 25.26/17.06 (~v26(constB123)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20129, 2441, 20602])).
% 25.26/17.06 tff(20605,plain,
% 25.26/17.06 (~v113(constB123)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[19716, 1050, 20604, 20603])).
% 25.26/17.06 tff(20606,plain,
% 25.26/17.06 (~v114(constB123)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[19705, 1036, 20605])).
% 25.26/17.06 tff(20607,plain,
% 25.26/17.06 (~v115(constB123)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[19698, 1022, 20606])).
% 25.26/17.06 tff(20608,plain,
% 25.26/17.06 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB123) | (~v116(constB123)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB123) | (~v116(constB123)))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20609,plain,
% 25.26/17.06 (((~v116(constB123)) | v115(constB123)) <=> (v115(constB123) | (~v116(constB123)))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20610,plain,
% 25.26/17.06 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB123)) | v115(constB123))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB123) | (~v116(constB123))))),
% 25.26/17.06 inference(monotonicity,[status(thm)],[20609])).
% 25.26/17.06 tff(20611,plain,
% 25.26/17.06 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB123)) | v115(constB123))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB123) | (~v116(constB123)))),
% 25.26/17.06 inference(transitivity,[status(thm)],[20610, 20608])).
% 25.26/17.06 tff(20612,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB123)) | v115(constB123))),
% 25.26/17.06 inference(quant_inst,[status(thm)],[])).
% 25.26/17.06 tff(20613,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB123) | (~v116(constB123))),
% 25.26/17.06 inference(modus_ponens,[status(thm)],[20612, 20611])).
% 25.26/17.06 tff(20614,plain,
% 25.26/17.06 ($false),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20613, 1008, 20607, 20600])).
% 25.26/17.06 tff(20615,plain,(v100(constB124) | v90(constB124, bitIndex0) | v90(constB124, bitIndex1) | v90(constB124, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.26/17.06 tff(20616,plain,
% 25.26/17.06 (v100(constB124)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20615, 20550, 20549, 20548])).
% 25.26/17.06 tff(20617,plain,
% 25.26/17.06 ((~v129(constB124, bitIndex2)) | (~v100(constB124))),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[19779, 1204, 20548])).
% 25.26/17.06 tff(20618,plain,
% 25.26/17.06 (~v129(constB124, bitIndex2)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20617, 20616])).
% 25.26/17.06 tff(20619,plain,
% 25.26/17.06 (~v127(constB123, bitIndex2)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[19772, 20618])).
% 25.26/17.06 tff(20620,plain,
% 25.26/17.06 ((~v129(constB124, bitIndex1)) | (~v100(constB124))),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[19836, 1583, 20549])).
% 25.26/17.06 tff(20621,plain,
% 25.26/17.06 (~v129(constB124, bitIndex1)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20620, 20616])).
% 25.26/17.06 tff(20622,plain,
% 25.26/17.06 (~v127(constB123, bitIndex1)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[19829, 20621])).
% 25.26/17.06 tff(20623,assumption,(~v127(constB123, bitIndex1)), introduced(assumption)).
% 25.26/17.06 tff(20624,plain,
% 25.26/17.06 (v26(constB123) | (~v130(constB123, bitIndex1))),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[19823, 1553, 20623])).
% 25.26/17.06 tff(20625,plain,
% 25.26/17.06 (~v130(constB123, bitIndex1)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20624, 20192])).
% 25.26/17.06 tff(20626,plain,
% 25.26/17.06 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB123)) | v130(constB123, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB123)) | v130(constB123, bitIndex1))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20627,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB123)) | v130(constB123, bitIndex1))),
% 25.26/17.06 inference(quant_inst,[status(thm)],[])).
% 25.26/17.06 tff(20628,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB123)) | v130(constB123, bitIndex1)),
% 25.26/17.06 inference(modus_ponens,[status(thm)],[20627, 20626])).
% 25.26/17.06 tff(20629,plain,
% 25.26/17.06 (~v121(constB123)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20628, 2562, 20625])).
% 25.26/17.06 tff(20630,plain,
% 25.26/17.06 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB123)) | v130(constB123, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB123)) | v130(constB123, bitIndex1))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20631,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB123)) | v130(constB123, bitIndex1))),
% 25.26/17.06 inference(quant_inst,[status(thm)],[])).
% 25.26/17.06 tff(20632,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB123)) | v130(constB123, bitIndex1)),
% 25.26/17.06 inference(modus_ponens,[status(thm)],[20631, 20630])).
% 25.26/17.06 tff(20633,plain,
% 25.26/17.06 (~v124(constB123)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20632, 4652, 20625])).
% 25.26/17.06 tff(20634,assumption,(~v127(constB123, bitIndex0)), introduced(assumption)).
% 25.26/17.06 tff(20635,plain,
% 25.26/17.06 (v26(constB123) | (~v130(constB123, bitIndex0))),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20138, 1945, 20634])).
% 25.26/17.06 tff(20636,plain,
% 25.26/17.06 (~v130(constB123, bitIndex0)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20635, 20192])).
% 25.26/17.06 tff(20637,plain,
% 25.26/17.06 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB123)) | v130(constB123, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB123)) | v130(constB123, bitIndex1))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20638,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB123)) | v130(constB123, bitIndex1))),
% 25.26/17.06 inference(quant_inst,[status(thm)],[])).
% 25.26/17.06 tff(20639,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB123)) | v130(constB123, bitIndex1)),
% 25.26/17.06 inference(modus_ponens,[status(thm)],[20638, 20637])).
% 25.26/17.06 tff(20640,plain,
% 25.26/17.06 (~v120(constB123)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20639, 2034, 20625])).
% 25.26/17.06 tff(20641,assumption,(~v127(constB123, bitIndex2)), introduced(assumption)).
% 25.26/17.06 tff(20642,plain,
% 25.26/17.06 (v26(constB123) | (~v130(constB123, bitIndex2))),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[19766, 1174, 20641])).
% 25.26/17.06 tff(20643,plain,
% 25.26/17.06 (~v130(constB123, bitIndex2)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20642, 20192])).
% 25.26/17.06 tff(20644,plain,
% 25.26/17.06 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB123)) | v130(constB123, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB123)) | v130(constB123, bitIndex2))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20645,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB123)) | v130(constB123, bitIndex2))),
% 25.26/17.06 inference(quant_inst,[status(thm)],[])).
% 25.26/17.06 tff(20646,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB123)) | v130(constB123, bitIndex2)),
% 25.26/17.06 inference(modus_ponens,[status(thm)],[20645, 20644])).
% 25.26/17.06 tff(20647,plain,
% 25.26/17.06 (~v119(constB123)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20646, 1160, 20643])).
% 25.26/17.06 tff(20648,plain,
% 25.26/17.06 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB123)) | v130(constB123, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB123)) | v130(constB123, bitIndex2))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20649,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB123)) | v130(constB123, bitIndex2))),
% 25.26/17.06 inference(quant_inst,[status(thm)],[])).
% 25.26/17.06 tff(20650,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB123)) | v130(constB123, bitIndex2)),
% 25.26/17.06 inference(modus_ponens,[status(thm)],[20649, 20648])).
% 25.26/17.06 tff(20651,plain,
% 25.26/17.06 (~v122(constB123)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20650, 2736, 20643])).
% 25.26/17.06 tff(20652,plain,
% 25.26/17.06 (~v123(constB123)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[19762, 1483, 20643])).
% 25.26/17.06 tff(20653,plain,
% 25.26/17.06 ($false),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20143, 1931, 20652, 20651, 20647, 20640, 20636, 20633, 20629])).
% 25.26/17.06 tff(20654,plain,(v26(constB123) | v127(constB123, bitIndex0) | v127(constB123, bitIndex1) | v127(constB123, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.26/17.06 tff(20655,plain,
% 25.26/17.06 (v127(constB123, bitIndex0)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20654, 20622, 19710, 20619])).
% 25.26/17.06 tff(20656,plain,
% 25.26/17.06 (v129(constB124, bitIndex0)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20134, 20655])).
% 25.26/17.06 tff(20657,plain,
% 25.26/17.06 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB124, bitIndex0) | (~v129(constB124, bitIndex0)) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~v129(constB124, bitIndex0)) | (~v100(constB124)))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20658,plain,
% 25.26/17.06 ((v90(constB124, bitIndex0) | (~v100(constB124)) | (~v129(constB124, bitIndex0))) <=> (v90(constB124, bitIndex0) | (~v129(constB124, bitIndex0)) | (~v100(constB124)))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20659,plain,
% 25.26/17.06 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB124, bitIndex0) | (~v100(constB124)) | (~v129(constB124, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB124, bitIndex0) | (~v129(constB124, bitIndex0)) | (~v100(constB124))))),
% 25.26/17.06 inference(monotonicity,[status(thm)],[20658])).
% 25.26/17.06 tff(20660,plain,
% 25.26/17.06 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB124, bitIndex0) | (~v100(constB124)) | (~v129(constB124, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~v129(constB124, bitIndex0)) | (~v100(constB124)))),
% 25.26/17.06 inference(transitivity,[status(thm)],[20659, 20657])).
% 25.26/17.06 tff(20661,plain,
% 25.26/17.06 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB124, bitIndex0) | (~v100(constB124)) | (~v129(constB124, bitIndex0)))),
% 25.26/17.06 inference(quant_inst,[status(thm)],[])).
% 25.26/17.06 tff(20662,plain,
% 25.26/17.06 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~v129(constB124, bitIndex0)) | (~v100(constB124))),
% 25.26/17.06 inference(modus_ponens,[status(thm)],[20661, 20660])).
% 25.26/17.06 tff(20663,plain,
% 25.26/17.06 ($false),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20662, 1975, 20616, 20550, 20656])).
% 25.26/17.06 tff(20664,plain,(v90(constB124, bitIndex0) | v90(constB124, bitIndex1) | v90(constB124, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.26/17.06 tff(20665,plain,
% 25.26/17.06 ($false),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20664, 20547, 20545, 20530])).
% 25.26/17.06 tff(20666,plain,(v90(constB125, bitIndex0) | v123(constB125) | v120(constB125) | v124(constB125) | v121(constB125) | v130(constB125, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.26/17.06 tff(20667,plain,
% 25.26/17.06 (v130(constB125, bitIndex0)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20666, 19859, 20521, 19851, 19816, 19855])).
% 25.26/17.06 tff(20668,plain,
% 25.26/17.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20669,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0))),
% 25.26/17.06 inference(quant_inst,[status(thm)],[])).
% 25.26/17.06 tff(20670,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0)),
% 25.26/17.06 inference(modus_ponens,[status(thm)],[20669, 20668])).
% 25.26/17.06 tff(20671,plain,
% 25.26/17.06 ((~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20670, 1945, 19871])).
% 25.26/17.06 tff(20672,plain,
% 25.26/17.06 (v127(constB125, bitIndex0)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20671, 20667])).
% 25.26/17.06 tff(20673,plain,
% 25.26/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20674,plain,
% 25.26/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0))),
% 25.26/17.06 inference(quant_inst,[status(thm)],[])).
% 25.26/17.06 tff(20675,plain,
% 25.26/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0)),
% 25.26/17.06 inference(modus_ponens,[status(thm)],[20674, 20673])).
% 25.26/17.06 tff(20676,plain,
% 25.26/17.06 ((~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20675, 1960, 19882])).
% 25.26/17.06 tff(20677,plain,
% 25.26/17.06 (v129(constB126, bitIndex0)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20676, 20672])).
% 25.26/17.06 tff(20678,plain,
% 25.26/17.06 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20679,plain,
% 25.26/17.06 ((v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0))) <=> (v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20680,plain,
% 25.26/17.06 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126))))),
% 25.26/17.06 inference(monotonicity,[status(thm)],[20679])).
% 25.26/17.06 tff(20681,plain,
% 25.26/17.06 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))),
% 25.26/17.06 inference(transitivity,[status(thm)],[20680, 20678])).
% 25.26/17.06 tff(20682,plain,
% 25.26/17.06 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0)))),
% 25.26/17.06 inference(quant_inst,[status(thm)],[])).
% 25.26/17.06 tff(20683,plain,
% 25.26/17.06 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126))),
% 25.26/17.06 inference(modus_ponens,[status(thm)],[20682, 20681])).
% 25.26/17.06 tff(20684,plain,
% 25.26/17.06 (v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0))),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20683, 1975, 20480])).
% 25.26/17.06 tff(20685,plain,
% 25.26/17.06 (v90(constB126, bitIndex0)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20684, 20677])).
% 25.26/17.06 tff(20686,plain,
% 25.26/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20687,plain,
% 25.26/17.06 (((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0)) <=> ((~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20688,plain,
% 25.26/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0)))),
% 25.26/17.06 inference(monotonicity,[status(thm)],[20687])).
% 25.26/17.06 tff(20689,plain,
% 25.26/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))),
% 25.26/17.06 inference(transitivity,[status(thm)],[20688, 20686])).
% 25.26/17.06 tff(20690,plain,
% 25.26/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0))),
% 25.26/17.06 inference(quant_inst,[status(thm)],[])).
% 25.26/17.06 tff(20691,plain,
% 25.26/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0)),
% 25.26/17.06 inference(modus_ponens,[status(thm)],[20690, 20689])).
% 25.26/17.06 tff(20692,plain,
% 25.26/17.06 ((~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20691, 1993, 20494])).
% 25.26/17.06 tff(20693,plain,
% 25.26/17.06 ((~v90(constB126, bitIndex0)) | v90(constB127, bitIndex0)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20692, 20506])).
% 25.26/17.06 tff(20694,plain,
% 25.26/17.06 (v90(constB127, bitIndex0)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20693, 20685])).
% 25.26/17.06 tff(20695,plain,
% 25.26/17.06 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB127)) | (~v90(constB127, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB127)) | (~v90(constB127, bitIndex0)))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20696,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB127)) | (~v90(constB127, bitIndex0)))),
% 25.26/17.06 inference(quant_inst,[status(thm)],[])).
% 25.26/17.06 tff(20697,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB127)) | (~v90(constB127, bitIndex0))),
% 25.26/17.06 inference(modus_ponens,[status(thm)],[20696, 20695])).
% 25.26/17.06 tff(20698,plain,
% 25.26/17.06 (~v119(constB127)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20697, 11913, 20694])).
% 25.26/17.06 tff(20699,plain,
% 25.26/17.06 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex2)))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20700,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex2)))),
% 25.26/17.06 inference(quant_inst,[status(thm)],[])).
% 25.26/17.06 tff(20701,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex2))),
% 25.26/17.06 inference(modus_ponens,[status(thm)],[20700, 20699])).
% 25.26/17.06 tff(20702,plain,
% 25.26/17.06 (~v130(constB125, bitIndex2)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20701, 1798, 19863, 19859, 19855, 19851, 19816, 19812])).
% 25.26/17.06 tff(20703,plain,
% 25.26/17.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20704,plain,
% 25.26/17.06 ((v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2))) <=> ((~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20705,plain,
% 25.26/17.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2)))),
% 25.26/17.06 inference(monotonicity,[status(thm)],[20704])).
% 25.26/17.06 tff(20706,plain,
% 25.26/17.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))),
% 25.26/17.06 inference(transitivity,[status(thm)],[20705, 20703])).
% 25.26/17.06 tff(20707,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2)))),
% 25.26/17.06 inference(quant_inst,[status(thm)],[])).
% 25.26/17.06 tff(20708,plain,
% 25.26/17.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2)),
% 25.26/17.06 inference(modus_ponens,[status(thm)],[20707, 20706])).
% 25.26/17.06 tff(20709,plain,
% 25.26/17.06 ((~v127(constB125, bitIndex2)) | v130(constB125, bitIndex2)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20708, 1812, 19871])).
% 25.26/17.06 tff(20710,plain,
% 25.26/17.06 (~v127(constB125, bitIndex2)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20709, 20702])).
% 25.26/17.06 tff(20711,plain,
% 25.26/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2)))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20712,plain,
% 25.26/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2)))),
% 25.26/17.06 inference(quant_inst,[status(thm)],[])).
% 25.26/17.06 tff(20713,plain,
% 25.26/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2))),
% 25.26/17.06 inference(modus_ponens,[status(thm)],[20712, 20711])).
% 25.26/17.06 tff(20714,plain,
% 25.26/17.06 (v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2))),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20713, 1830, 19882])).
% 25.26/17.06 tff(20715,plain,
% 25.26/17.06 (~v129(constB126, bitIndex2)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20714, 20710])).
% 25.26/17.06 tff(20716,plain,
% 25.26/17.06 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20717,plain,
% 25.26/17.06 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))),
% 25.26/17.06 inference(quant_inst,[status(thm)],[])).
% 25.26/17.06 tff(20718,plain,
% 25.26/17.06 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126))),
% 25.26/17.06 inference(modus_ponens,[status(thm)],[20717, 20716])).
% 25.26/17.06 tff(20719,plain,
% 25.26/17.06 ((~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20718, 1845, 20480])).
% 25.26/17.06 tff(20720,plain,
% 25.26/17.06 (~v90(constB126, bitIndex2)),
% 25.26/17.06 inference(unit_resolution,[status(thm)],[20719, 20715])).
% 25.26/17.06 tff(20721,plain,
% 25.26/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20722,plain,
% 25.26/17.06 (((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2))) <=> (v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 25.26/17.06 inference(rewrite,[status(thm)],[])).
% 25.26/17.06 tff(20723,plain,
% 25.26/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2))))),
% 25.26/17.06 inference(monotonicity,[status(thm)],[20722])).
% 25.26/17.06 tff(20724,plain,
% 25.26/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 25.26/17.07 inference(transitivity,[status(thm)],[20723, 20721])).
% 25.26/17.07 tff(20725,plain,
% 25.26/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 25.26/17.07 inference(quant_inst,[status(thm)],[])).
% 25.26/17.07 tff(20726,plain,
% 25.26/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2))),
% 25.26/17.07 inference(modus_ponens,[status(thm)],[20725, 20724])).
% 25.26/17.07 tff(20727,plain,
% 25.26/17.07 (v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2))),
% 25.26/17.07 inference(unit_resolution,[status(thm)],[20726, 892, 20494])).
% 25.26/17.07 tff(20728,plain,
% 25.26/17.07 (v90(constB126, bitIndex2) | (~v90(constB127, bitIndex2))),
% 25.26/17.07 inference(unit_resolution,[status(thm)],[20727, 20506])).
% 25.26/17.07 tff(20729,plain,
% 25.26/17.07 (~v90(constB127, bitIndex2)),
% 25.26/17.07 inference(unit_resolution,[status(thm)],[20728, 20720])).
% 25.26/17.07 tff(20730,assumption,(~v90(constB127, bitIndex1)), introduced(assumption)).
% 25.26/17.07 tff(20731,assumption,(~v90(constB127, bitIndex2)), introduced(assumption)).
% 25.26/17.07 tff(20732,assumption,(~v120(constB127)), introduced(assumption)).
% 25.26/17.07 tff(20733,plain,
% 25.26/17.07 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB127, bitIndex0)) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v120(constB127))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB127, bitIndex0)) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v120(constB127))),
% 25.26/17.07 inference(rewrite,[status(thm)],[])).
% 25.26/17.07 tff(20734,plain,
% 25.26/17.07 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB127, bitIndex0)) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v120(constB127))),
% 25.26/17.07 inference(quant_inst,[status(thm)],[])).
% 25.26/17.07 tff(20735,plain,
% 25.26/17.07 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB127, bitIndex0)) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v120(constB127)),
% 25.26/17.07 inference(modus_ponens,[status(thm)],[20734, 20733])).
% 25.26/17.07 tff(20736,plain,
% 25.26/17.07 ((~v90(constB127, bitIndex0)) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2)),
% 25.26/17.07 inference(unit_resolution,[status(thm)],[20735, 2012, 20732])).
% 25.26/17.07 tff(20737,plain,
% 25.26/17.07 (~v90(constB127, bitIndex0)),
% 25.26/17.07 inference(unit_resolution,[status(thm)],[20736, 20731, 20730])).
% 25.26/17.07 tff(20738,assumption,(~v119(constB127)), introduced(assumption)).
% 25.26/17.07 tff(20739,plain,
% 25.26/17.07 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB127, bitIndex0) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v119(constB127))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB127, bitIndex0) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v119(constB127))),
% 25.26/17.07 inference(rewrite,[status(thm)],[])).
% 25.26/17.07 tff(20740,plain,
% 25.26/17.07 ((v90(constB127, bitIndex0) | v119(constB127) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2)) <=> (v90(constB127, bitIndex0) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v119(constB127))),
% 25.26/17.07 inference(rewrite,[status(thm)],[])).
% 25.26/17.07 tff(20741,plain,
% 25.26/17.07 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB127, bitIndex0) | v119(constB127) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB127, bitIndex0) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v119(constB127)))),
% 25.26/17.07 inference(monotonicity,[status(thm)],[20740])).
% 25.26/17.07 tff(20742,plain,
% 25.26/17.07 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB127, bitIndex0) | v119(constB127) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB127, bitIndex0) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v119(constB127))),
% 25.26/17.07 inference(transitivity,[status(thm)],[20741, 20739])).
% 25.26/17.07 tff(20743,plain,
% 25.26/17.07 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB127, bitIndex0) | v119(constB127) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2))),
% 25.26/17.07 inference(quant_inst,[status(thm)],[])).
% 25.26/17.07 tff(20744,plain,
% 25.26/17.07 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB127, bitIndex0) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v119(constB127)),
% 25.26/17.07 inference(modus_ponens,[status(thm)],[20743, 20742])).
% 25.26/17.07 tff(20745,plain,
% 25.26/17.07 (v90(constB127, bitIndex0) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2)),
% 25.26/17.07 inference(unit_resolution,[status(thm)],[20744, 955, 20738])).
% 25.26/17.07 tff(20746,plain,
% 25.26/17.07 ($false),
% 25.26/17.07 inference(unit_resolution,[status(thm)],[20745, 20737, 20731, 20730])).
% 25.26/17.07 tff(20747,plain,(v90(constB127, bitIndex2) | v90(constB127, bitIndex1) | v119(constB127) | v120(constB127)), inference(lemma,lemma(discharge,[]))).
% 25.26/17.07 tff(20748,plain,
% 25.26/17.07 (v120(constB127)),
% 25.26/17.07 inference(unit_resolution,[status(thm)],[20747, 20729, 20698, 20515])).
% 25.26/17.07 tff(20749,plain,
% 25.26/17.07 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB127)) | v118(constB127))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB127)) | v118(constB127))),
% 25.26/17.07 inference(rewrite,[status(thm)],[])).
% 25.26/17.07 tff(20750,plain,
% 25.26/17.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB127)) | v118(constB127))),
% 25.26/17.07 inference(quant_inst,[status(thm)],[])).
% 25.26/17.07 tff(20751,plain,
% 25.26/17.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB127)) | v118(constB127)),
% 25.26/17.07 inference(modus_ponens,[status(thm)],[20750, 20749])).
% 25.26/17.07 tff(20752,plain,
% 25.26/17.07 (v118(constB127)),
% 25.26/17.07 inference(unit_resolution,[status(thm)],[20751, 2210, 20748])).
% 25.26/17.07 tff(20753,plain,
% 25.26/17.07 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB127)) | v117(constB127))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB127)) | v117(constB127))),
% 25.26/17.07 inference(rewrite,[status(thm)],[])).
% 25.26/17.07 tff(20754,plain,
% 25.26/17.07 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB127)) | v117(constB127))),
% 25.26/17.07 inference(quant_inst,[status(thm)],[])).
% 25.26/17.07 tff(20755,plain,
% 25.26/17.07 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB127)) | v117(constB127)),
% 25.26/17.07 inference(modus_ponens,[status(thm)],[20754, 20753])).
% 25.26/17.07 tff(20756,plain,
% 25.26/17.07 (v117(constB127)),
% 25.26/17.07 inference(unit_resolution,[status(thm)],[20755, 980, 20752])).
% 25.26/17.07 tff(20757,plain,
% 25.26/17.07 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB127) | (~v117(constB127)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB127) | (~v117(constB127)))),
% 25.26/17.07 inference(rewrite,[status(thm)],[])).
% 25.26/17.07 tff(20758,plain,
% 25.26/17.07 (((~v117(constB127)) | v116(constB127)) <=> (v116(constB127) | (~v117(constB127)))),
% 25.26/17.07 inference(rewrite,[status(thm)],[])).
% 25.26/17.07 tff(20759,plain,
% 25.26/17.07 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB127)) | v116(constB127))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB127) | (~v117(constB127))))),
% 25.26/17.07 inference(monotonicity,[status(thm)],[20758])).
% 25.26/17.07 tff(20760,plain,
% 25.26/17.07 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB127)) | v116(constB127))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB127) | (~v117(constB127)))),
% 25.26/17.07 inference(transitivity,[status(thm)],[20759, 20757])).
% 25.26/17.07 tff(20761,plain,
% 25.26/17.07 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB127)) | v116(constB127))),
% 25.26/17.07 inference(quant_inst,[status(thm)],[])).
% 25.26/17.07 tff(20762,plain,
% 25.26/17.07 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB127) | (~v117(constB127))),
% 25.26/17.07 inference(modus_ponens,[status(thm)],[20761, 20760])).
% 25.26/17.07 tff(20763,plain,
% 25.26/17.07 (v116(constB127)),
% 25.26/17.07 inference(unit_resolution,[status(thm)],[20762, 994, 20756])).
% 25.26/17.07 tff(20764,plain,
% 25.26/17.07 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB127) | (~v116(constB127)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB127) | (~v116(constB127)))),
% 25.26/17.07 inference(rewrite,[status(thm)],[])).
% 25.26/17.07 tff(20765,plain,
% 25.26/17.07 (((~v116(constB127)) | v115(constB127)) <=> (v115(constB127) | (~v116(constB127)))),
% 25.26/17.07 inference(rewrite,[status(thm)],[])).
% 25.26/17.07 tff(20766,plain,
% 25.26/17.07 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB127)) | v115(constB127))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB127) | (~v116(constB127))))),
% 25.26/17.07 inference(monotonicity,[status(thm)],[20765])).
% 25.26/17.07 tff(20767,plain,
% 25.26/17.07 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB127)) | v115(constB127))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB127) | (~v116(constB127)))),
% 25.26/17.07 inference(transitivity,[status(thm)],[20766, 20764])).
% 25.26/17.07 tff(20768,plain,
% 25.26/17.07 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB127)) | v115(constB127))),
% 25.26/17.07 inference(quant_inst,[status(thm)],[])).
% 25.26/17.07 tff(20769,plain,
% 25.26/17.07 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB127) | (~v116(constB127))),
% 25.26/17.07 inference(modus_ponens,[status(thm)],[20768, 20767])).
% 25.26/17.07 tff(20770,plain,
% 25.26/17.07 (v115(constB127)),
% 25.26/17.07 inference(unit_resolution,[status(thm)],[20769, 1008, 20763])).
% 25.26/17.07 tff(20771,plain,
% 25.26/17.07 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB127)) | v114(constB127))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB127)) | v114(constB127))),
% 25.26/17.07 inference(rewrite,[status(thm)],[])).
% 25.26/17.07 tff(20772,plain,
% 25.26/17.07 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB127)) | v114(constB127))),
% 25.26/17.07 inference(quant_inst,[status(thm)],[])).
% 25.26/17.07 tff(20773,plain,
% 25.26/17.07 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB127)) | v114(constB127)),
% 25.26/17.07 inference(modus_ponens,[status(thm)],[20772, 20771])).
% 25.26/17.07 tff(20774,plain,
% 25.26/17.07 (v114(constB127)),
% 25.26/17.07 inference(unit_resolution,[status(thm)],[20773, 1022, 20770])).
% 25.26/17.07 tff(20775,plain,
% 25.26/17.07 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB127)) | v113(constB127))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB127)) | v113(constB127))),
% 25.26/17.07 inference(rewrite,[status(thm)],[])).
% 25.26/17.07 tff(20776,plain,
% 25.26/17.07 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB127)) | v113(constB127))),
% 25.26/17.07 inference(quant_inst,[status(thm)],[])).
% 25.26/17.07 tff(20777,plain,
% 25.26/17.07 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB127)) | v113(constB127)),
% 25.26/17.07 inference(modus_ponens,[status(thm)],[20776, 20775])).
% 25.26/17.07 tff(20778,plain,
% 25.26/17.07 (v113(constB127)),
% 25.26/17.07 inference(unit_resolution,[status(thm)],[20777, 1036, 20774])).
% 25.26/17.07 tff(20779,assumption,(v26(constB127)), introduced(assumption)).
% 25.26/17.07 tff(20780,plain,
% 25.26/17.07 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB127))),
% 25.26/17.07 inference(quant_inst,[status(thm)],[])).
% 25.36/17.07 tff(20781,plain,
% 25.36/17.07 ($false),
% 25.36/17.07 inference(unit_resolution,[status(thm)],[20780, 797, 20779])).
% 25.36/17.07 tff(20782,plain,(~v26(constB127)), inference(lemma,lemma(discharge,[]))).
% 25.36/17.07 tff(20783,plain,
% 25.36/17.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | v112(constB127) | (~v113(constB127)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | v112(constB127) | (~v113(constB127)))),
% 25.36/17.07 inference(rewrite,[status(thm)],[])).
% 25.36/17.07 tff(20784,plain,
% 25.36/17.07 ((v26(constB127) | (~v113(constB127)) | v112(constB127)) <=> (v26(constB127) | v112(constB127) | (~v113(constB127)))),
% 25.36/17.07 inference(rewrite,[status(thm)],[])).
% 25.36/17.07 tff(20785,plain,
% 25.36/17.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | v112(constB127) | (~v113(constB127))))),
% 25.36/17.07 inference(monotonicity,[status(thm)],[20784])).
% 25.36/17.07 tff(20786,plain,
% 25.36/17.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | v112(constB127) | (~v113(constB127)))),
% 25.36/17.07 inference(transitivity,[status(thm)],[20785, 20783])).
% 25.36/17.07 tff(20787,plain,
% 25.36/17.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))),
% 25.36/17.07 inference(quant_inst,[status(thm)],[])).
% 25.36/17.07 tff(20788,plain,
% 25.36/17.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | v112(constB127) | (~v113(constB127))),
% 25.36/17.07 inference(modus_ponens,[status(thm)],[20787, 20786])).
% 25.36/17.07 tff(20789,plain,
% 25.36/17.07 (v112(constB127) | (~v113(constB127))),
% 25.36/17.07 inference(unit_resolution,[status(thm)],[20788, 1050, 20782])).
% 25.36/17.07 tff(20790,plain,
% 25.36/17.07 (v112(constB127)),
% 25.36/17.07 inference(unit_resolution,[status(thm)],[20789, 20778])).
% 25.36/17.07 tff(20791,plain,
% 25.36/17.07 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB127) | (~v112(constB127)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v112(constB127)))),
% 25.36/17.07 inference(rewrite,[status(thm)],[])).
% 25.36/17.07 tff(20792,plain,
% 25.36/17.07 (((~v112(constB127)) | v108(constB127)) <=> (v108(constB127) | (~v112(constB127)))),
% 25.36/17.07 inference(rewrite,[status(thm)],[])).
% 25.36/17.07 tff(20793,plain,
% 25.36/17.07 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB127)) | v108(constB127))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB127) | (~v112(constB127))))),
% 25.36/17.07 inference(monotonicity,[status(thm)],[20792])).
% 25.36/17.07 tff(20794,plain,
% 25.36/17.07 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB127)) | v108(constB127))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v112(constB127)))),
% 25.36/17.07 inference(transitivity,[status(thm)],[20793, 20791])).
% 25.36/17.07 tff(20795,plain,
% 25.36/17.07 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB127)) | v108(constB127))),
% 25.36/17.07 inference(quant_inst,[status(thm)],[])).
% 25.36/17.07 tff(20796,plain,
% 25.36/17.07 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v112(constB127))),
% 25.36/17.07 inference(modus_ponens,[status(thm)],[20795, 20794])).
% 25.36/17.07 tff(20797,plain,
% 25.36/17.07 (v108(constB127)),
% 25.36/17.07 inference(unit_resolution,[status(thm)],[20796, 1062, 20790])).
% 25.36/17.07 tff(20798,plain,
% 25.36/17.07 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 25.36/17.07 inference(rewrite,[status(thm)],[])).
% 25.36/17.07 tff(20799,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_127_1')).
% 25.36/17.07 tff(20800,plain,
% 25.36/17.07 (nextState(constB127, constB128)),
% 25.36/17.07 inference(modus_ponens,[status(thm)],[20799, 20798])).
% 25.36/17.07 tff(20801,plain,
% 25.36/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 25.36/17.07 inference(rewrite,[status(thm)],[])).
% 25.36/17.07 tff(20802,plain,
% 25.36/17.07 (((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128)) <=> ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 25.36/17.07 inference(rewrite,[status(thm)],[])).
% 25.36/17.07 tff(20803,plain,
% 25.36/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127))))),
% 25.36/17.07 inference(monotonicity,[status(thm)],[20802])).
% 25.36/17.07 tff(20804,plain,
% 25.36/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 25.36/17.07 inference(transitivity,[status(thm)],[20803, 20801])).
% 25.36/17.07 tff(20805,plain,
% 25.36/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))),
% 25.36/17.07 inference(quant_inst,[status(thm)],[])).
% 25.36/17.07 tff(20806,plain,
% 25.36/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127))),
% 25.36/17.07 inference(modus_ponens,[status(thm)],[20805, 20804])).
% 25.36/17.07 tff(20807,plain,
% 25.36/17.07 (v110(constB128) | (~v108(constB127))),
% 25.36/17.07 inference(unit_resolution,[status(thm)],[20806, 1082, 20800])).
% 25.36/17.07 tff(20808,plain,
% 25.36/17.07 (v110(constB128)),
% 25.36/17.07 inference(unit_resolution,[status(thm)],[20807, 20797])).
% 25.36/17.07 tff(20809,plain,
% 25.36/17.07 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))),
% 25.36/17.07 inference(rewrite,[status(thm)],[])).
% 25.36/17.07 tff(20810,plain,
% 25.36/17.07 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))),
% 25.36/17.07 inference(quant_inst,[status(thm)],[])).
% 25.36/17.07 tff(20811,plain,
% 25.36/17.07 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128))),
% 25.36/17.07 inference(modus_ponens,[status(thm)],[20810, 20809])).
% 25.36/17.07 tff(20812,plain,
% 25.36/17.07 (~v104(constB128)),
% 25.36/17.07 inference(unit_resolution,[status(thm)],[20811, 1100, 20800, 20491])).
% 25.36/17.07 tff(20813,plain,
% 25.36/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))),
% 25.36/17.07 inference(rewrite,[status(thm)],[])).
% 25.36/17.07 tff(20814,plain,
% 25.36/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))),
% 25.36/17.07 inference(quant_inst,[status(thm)],[])).
% 25.36/17.07 tff(20815,plain,
% 25.36/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v102(constB128) | v104(constB128)),
% 25.36/17.07 inference(modus_ponens,[status(thm)],[20814, 20813])).
% 25.36/17.07 tff(20816,plain,
% 25.36/17.07 (v102(constB128) | v104(constB128)),
% 25.36/17.07 inference(unit_resolution,[status(thm)],[20815, 1114, 20800])).
% 25.36/17.07 tff(20817,plain,
% 25.36/17.07 (v102(constB128)),
% 25.36/17.07 inference(unit_resolution,[status(thm)],[20816, 20812])).
% 25.36/17.07 tff(20818,plain,
% 25.36/17.07 (v1(constB128) <=> v1(constB128)),
% 25.36/17.07 inference(rewrite,[status(thm)],[])).
% 25.36/17.07 tff(20819,axiom,(v1(constB128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_128_1')).
% 25.36/17.07 tff(20820,plain,
% 25.36/17.07 (v1(constB128)),
% 25.36/17.07 inference(modus_ponens,[status(thm)],[20819, 20818])).
% 25.36/17.07 tff(20821,plain,
% 25.36/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))),
% 25.36/17.07 inference(rewrite,[status(thm)],[])).
% 25.36/17.07 tff(20822,plain,
% 25.36/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))),
% 25.36/17.07 inference(quant_inst,[status(thm)],[])).
% 25.36/17.07 tff(20823,plain,
% 25.36/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128))),
% 25.36/17.07 inference(modus_ponens,[status(thm)],[20822, 20821])).
% 25.36/17.07 tff(20824,plain,
% 25.36/17.07 (v101(constB128) | (~v102(constB128))),
% 25.36/17.07 inference(unit_resolution,[status(thm)],[20823, 1129, 20800, 20820])).
% 25.36/17.07 tff(20825,plain,
% 25.36/17.07 (v101(constB128)),
% 25.36/17.07 inference(unit_resolution,[status(thm)],[20824, 20817])).
% 25.36/17.07 tff(20826,plain,
% 25.36/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 25.36/17.07 inference(rewrite,[status(thm)],[])).
% 25.36/17.07 tff(20827,plain,
% 25.36/17.07 (((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128)) <=> ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 25.36/17.07 inference(rewrite,[status(thm)],[])).
% 25.36/17.07 tff(20828,plain,
% 25.36/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128))))),
% 25.36/17.07 inference(monotonicity,[status(thm)],[20827])).
% 25.36/17.07 tff(20829,plain,
% 25.36/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 25.36/17.07 inference(transitivity,[status(thm)],[20828, 20826])).
% 25.36/17.07 tff(20830,plain,
% 25.36/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))),
% 25.36/17.07 inference(quant_inst,[status(thm)],[])).
% 25.36/17.07 tff(20831,plain,
% 25.36/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 25.36/17.07 inference(modus_ponens,[status(thm)],[20830, 20829])).
% 25.36/17.07 tff(20832,plain,
% 25.36/17.07 (v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 25.36/17.07 inference(unit_resolution,[status(thm)],[20831, 1144, 20800])).
% 25.36/17.07 tff(20833,plain,
% 25.36/17.07 (v100(constB128) | (~v110(constB128))),
% 25.36/17.07 inference(unit_resolution,[status(thm)],[20832, 20825])).
% 25.36/17.07 tff(20834,plain,
% 25.36/17.07 (v100(constB128)),
% 25.36/17.07 inference(unit_resolution,[status(thm)],[20833, 20808])).
% 25.36/17.07 tff(20835,plain,
% 25.36/17.07 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB127)) | (~v130(constB127, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB127)) | (~v130(constB127, bitIndex2)))),
% 25.36/17.07 inference(rewrite,[status(thm)],[])).
% 25.36/17.07 tff(20836,plain,
% 25.36/17.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB127)) | (~v130(constB127, bitIndex2)))),
% 25.36/17.07 inference(quant_inst,[status(thm)],[])).
% 25.36/17.07 tff(20837,plain,
% 25.36/17.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB127)) | (~v130(constB127, bitIndex2))),
% 25.36/17.07 inference(modus_ponens,[status(thm)],[20836, 20835])).
% 25.36/17.07 tff(20838,plain,
% 25.36/17.07 (~v130(constB127, bitIndex2)),
% 25.36/17.07 inference(unit_resolution,[status(thm)],[20837, 2231, 20748])).
% 25.36/17.07 tff(20839,plain,
% 25.36/17.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB127, bitIndex2)) | v26(constB127) | v130(constB127, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB127, bitIndex2)) | v26(constB127) | v130(constB127, bitIndex2))),
% 25.36/17.07 inference(rewrite,[status(thm)],[])).
% 25.36/17.07 tff(20840,plain,
% 25.36/17.07 ((v26(constB127) | v130(constB127, bitIndex2) | (~v127(constB127, bitIndex2))) <=> ((~v127(constB127, bitIndex2)) | v26(constB127) | v130(constB127, bitIndex2))),
% 25.36/17.07 inference(rewrite,[status(thm)],[])).
% 25.36/17.07 tff(20841,plain,
% 25.36/17.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB127) | v130(constB127, bitIndex2) | (~v127(constB127, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB127, bitIndex2)) | v26(constB127) | v130(constB127, bitIndex2)))),
% 25.36/17.07 inference(monotonicity,[status(thm)],[20840])).
% 25.36/17.07 tff(20842,plain,
% 25.36/17.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB127) | v130(constB127, bitIndex2) | (~v127(constB127, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB127, bitIndex2)) | v26(constB127) | v130(constB127, bitIndex2))),
% 25.36/17.07 inference(transitivity,[status(thm)],[20841, 20839])).
% 25.36/17.07 tff(20843,plain,
% 25.36/17.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB127) | v130(constB127, bitIndex2) | (~v127(constB127, bitIndex2)))),
% 25.36/17.07 inference(quant_inst,[status(thm)],[])).
% 25.36/17.07 tff(20844,plain,
% 25.36/17.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB127, bitIndex2)) | v26(constB127) | v130(constB127, bitIndex2)),
% 25.36/17.07 inference(modus_ponens,[status(thm)],[20843, 20842])).
% 25.36/17.07 tff(20845,plain,
% 25.36/17.07 ((~v127(constB127, bitIndex2)) | v130(constB127, bitIndex2)),
% 25.36/17.07 inference(unit_resolution,[status(thm)],[20844, 1812, 20782])).
% 25.36/17.07 tff(20846,plain,
% 25.36/17.07 (~v127(constB127, bitIndex2)),
% 25.36/17.07 inference(unit_resolution,[status(thm)],[20845, 20838])).
% 25.36/17.07 tff(20847,plain,
% 25.36/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex2) | (~v129(constB128, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex2) | (~v129(constB128, bitIndex2)))),
% 25.36/17.07 inference(rewrite,[status(thm)],[])).
% 25.36/17.07 tff(20848,plain,
% 25.36/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex2) | (~v129(constB128, bitIndex2)))),
% 25.36/17.07 inference(quant_inst,[status(thm)],[])).
% 25.36/17.07 tff(20849,plain,
% 25.36/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex2) | (~v129(constB128, bitIndex2))),
% 25.36/17.07 inference(modus_ponens,[status(thm)],[20848, 20847])).
% 25.36/17.07 tff(20850,plain,
% 25.36/17.07 (v127(constB127, bitIndex2) | (~v129(constB128, bitIndex2))),
% 25.36/17.07 inference(unit_resolution,[status(thm)],[20849, 1830, 20800])).
% 25.36/17.07 tff(20851,plain,
% 25.36/17.07 (~v129(constB128, bitIndex2)),
% 25.36/17.07 inference(unit_resolution,[status(thm)],[20850, 20846])).
% 25.36/17.07 tff(20852,plain,
% 25.36/17.07 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB128, bitIndex2)) | v129(constB128, bitIndex2) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB128, bitIndex2)) | v129(constB128, bitIndex2) | (~v100(constB128)))),
% 25.36/17.07 inference(rewrite,[status(thm)],[])).
% 25.36/17.07 tff(20853,plain,
% 25.36/17.07 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB128, bitIndex2)) | v129(constB128, bitIndex2) | (~v100(constB128)))),
% 25.36/17.07 inference(quant_inst,[status(thm)],[])).
% 25.36/17.07 tff(20854,plain,
% 25.36/17.07 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB128, bitIndex2)) | v129(constB128, bitIndex2) | (~v100(constB128))),
% 25.36/17.07 inference(modus_ponens,[status(thm)],[20853, 20852])).
% 25.36/17.07 tff(20855,plain,
% 25.36/17.07 ((~v90(constB128, bitIndex2)) | (~v100(constB128))),
% 25.36/17.07 inference(unit_resolution,[status(thm)],[20854, 1845, 20851])).
% 25.36/17.07 tff(20856,plain,
% 25.36/17.07 (~v90(constB128, bitIndex2)),
% 25.36/17.07 inference(unit_resolution,[status(thm)],[20855, 20834])).
% 25.36/17.07 tff(20857,plain,
% 25.36/17.07 ((~v1(constB129)) <=> (~v1(constB129))),
% 25.36/17.07 inference(rewrite,[status(thm)],[])).
% 25.36/17.07 tff(20858,axiom,(~v1(constB129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_129_1_1')).
% 25.36/17.07 tff(20859,plain,
% 25.36/17.07 (~v1(constB129)),
% 25.36/17.07 inference(modus_ponens,[status(thm)],[20858, 20857])).
% 25.36/17.07 tff(20860,plain,
% 25.36/17.07 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 25.36/17.07 inference(rewrite,[status(thm)],[])).
% 25.36/17.07 tff(20861,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_128_1')).
% 25.36/17.07 tff(20862,plain,
% 25.36/17.07 (nextState(constB128, constB129)),
% 25.36/17.07 inference(modus_ponens,[status(thm)],[20861, 20860])).
% 25.36/17.07 tff(20863,plain,
% 25.36/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 25.36/17.07 inference(rewrite,[status(thm)],[])).
% 25.36/17.07 tff(20864,plain,
% 25.36/17.07 (((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129)) <=> (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 25.36/17.07 inference(rewrite,[status(thm)],[])).
% 25.36/17.07 tff(20865,plain,
% 25.36/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129))))),
% 25.36/17.07 inference(monotonicity,[status(thm)],[20864])).
% 25.36/17.07 tff(20866,plain,
% 25.36/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 25.36/17.07 inference(transitivity,[status(thm)],[20865, 20863])).
% 25.36/17.07 tff(20867,plain,
% 25.36/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))),
% 25.36/17.07 inference(quant_inst,[status(thm)],[])).
% 25.36/17.07 tff(20868,plain,
% 25.36/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129))),
% 25.36/17.07 inference(modus_ponens,[status(thm)],[20867, 20866])).
% 25.36/17.07 tff(20869,plain,
% 25.36/17.07 (~v101(constB129)),
% 25.36/17.07 inference(unit_resolution,[status(thm)],[20868, 860, 20862, 20859])).
% 25.36/17.07 tff(20870,plain,
% 25.36/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))),
% 25.36/17.07 inference(rewrite,[status(thm)],[])).
% 25.36/17.07 tff(20871,plain,
% 25.36/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))),
% 25.36/17.07 inference(quant_inst,[status(thm)],[])).
% 25.36/17.07 tff(20872,plain,
% 25.36/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129))),
% 25.36/17.07 inference(modus_ponens,[status(thm)],[20871, 20870])).
% 25.36/17.07 tff(20873,plain,
% 25.36/17.07 (v101(constB129) | (~v100(constB129))),
% 25.36/17.07 inference(unit_resolution,[status(thm)],[20872, 877, 20862])).
% 25.36/17.07 tff(20874,plain,
% 25.36/17.07 (~v100(constB129)),
% 25.36/17.07 inference(unit_resolution,[status(thm)],[20873, 20869])).
% 25.36/17.07 tff(20875,plain,
% 25.36/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex2)))),
% 25.36/17.07 inference(rewrite,[status(thm)],[])).
% 25.36/17.07 tff(20876,plain,
% 25.36/17.07 (((~nextState(constB128, constB129)) | v90(constB128, bitIndex2) | v100(constB129) | (~v90(constB129, bitIndex2))) <=> (v90(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex2)))),
% 25.36/17.07 inference(rewrite,[status(thm)],[])).
% 25.36/17.07 tff(20877,plain,
% 25.36/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex2) | v100(constB129) | (~v90(constB129, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex2))))),
% 25.36/17.08 inference(monotonicity,[status(thm)],[20876])).
% 25.36/17.08 tff(20878,plain,
% 25.36/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex2) | v100(constB129) | (~v90(constB129, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex2)))),
% 25.36/17.08 inference(transitivity,[status(thm)],[20877, 20875])).
% 25.36/17.08 tff(20879,plain,
% 25.36/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex2) | v100(constB129) | (~v90(constB129, bitIndex2)))),
% 25.36/17.08 inference(quant_inst,[status(thm)],[])).
% 25.36/17.08 tff(20880,plain,
% 25.36/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex2))),
% 25.36/17.08 inference(modus_ponens,[status(thm)],[20879, 20878])).
% 25.36/17.08 tff(20881,plain,
% 25.36/17.08 (v90(constB128, bitIndex2) | v100(constB129) | (~v90(constB129, bitIndex2))),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20880, 892, 20862])).
% 25.36/17.08 tff(20882,plain,
% 25.36/17.08 (v90(constB128, bitIndex2) | (~v90(constB129, bitIndex2))),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20881, 20874])).
% 25.36/17.08 tff(20883,plain,
% 25.36/17.08 (~v90(constB129, bitIndex2)),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20882, 20856])).
% 25.36/17.08 tff(20884,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB127)) | v130(constB127, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB127)) | v130(constB127, bitIndex1))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20885,plain,
% 25.36/17.08 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB127)) | v130(constB127, bitIndex1))),
% 25.36/17.08 inference(quant_inst,[status(thm)],[])).
% 25.36/17.08 tff(20886,plain,
% 25.36/17.08 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB127)) | v130(constB127, bitIndex1)),
% 25.36/17.08 inference(modus_ponens,[status(thm)],[20885, 20884])).
% 25.36/17.08 tff(20887,plain,
% 25.36/17.08 (v130(constB127, bitIndex1)),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20886, 2034, 20748])).
% 25.36/17.08 tff(20888,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB127) | (~v130(constB127, bitIndex1)) | v127(constB127, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB127) | (~v130(constB127, bitIndex1)) | v127(constB127, bitIndex1))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20889,plain,
% 25.36/17.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB127) | (~v130(constB127, bitIndex1)) | v127(constB127, bitIndex1))),
% 25.36/17.08 inference(quant_inst,[status(thm)],[])).
% 25.36/17.08 tff(20890,plain,
% 25.36/17.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB127) | (~v130(constB127, bitIndex1)) | v127(constB127, bitIndex1)),
% 25.36/17.08 inference(modus_ponens,[status(thm)],[20889, 20888])).
% 25.36/17.08 tff(20891,plain,
% 25.36/17.08 ((~v130(constB127, bitIndex1)) | v127(constB127, bitIndex1)),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20890, 1553, 20782])).
% 25.36/17.08 tff(20892,plain,
% 25.36/17.08 (v127(constB127, bitIndex1)),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20891, 20887])).
% 25.36/17.08 tff(20893,plain,
% 25.36/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB127, constB128)) | (~v127(constB127, bitIndex1)) | v129(constB128, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB127, constB128)) | (~v127(constB127, bitIndex1)) | v129(constB128, bitIndex1))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20894,plain,
% 25.36/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB127, constB128)) | (~v127(constB127, bitIndex1)) | v129(constB128, bitIndex1))),
% 25.36/17.08 inference(quant_inst,[status(thm)],[])).
% 25.36/17.08 tff(20895,plain,
% 25.36/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB127, constB128)) | (~v127(constB127, bitIndex1)) | v129(constB128, bitIndex1)),
% 25.36/17.08 inference(modus_ponens,[status(thm)],[20894, 20893])).
% 25.36/17.08 tff(20896,plain,
% 25.36/17.08 ((~v127(constB127, bitIndex1)) | v129(constB128, bitIndex1)),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20895, 1568, 20800])).
% 25.36/17.08 tff(20897,plain,
% 25.36/17.08 (v129(constB128, bitIndex1)),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20896, 20892])).
% 25.36/17.08 tff(20898,plain,
% 25.36/17.08 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~v129(constB128, bitIndex1)) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB128, bitIndex1) | (~v129(constB128, bitIndex1)) | (~v100(constB128)))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20899,plain,
% 25.36/17.08 ((v90(constB128, bitIndex1) | (~v100(constB128)) | (~v129(constB128, bitIndex1))) <=> (v90(constB128, bitIndex1) | (~v129(constB128, bitIndex1)) | (~v100(constB128)))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20900,plain,
% 25.36/17.08 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~v100(constB128)) | (~v129(constB128, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~v129(constB128, bitIndex1)) | (~v100(constB128))))),
% 25.36/17.08 inference(monotonicity,[status(thm)],[20899])).
% 25.36/17.08 tff(20901,plain,
% 25.36/17.08 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~v100(constB128)) | (~v129(constB128, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB128, bitIndex1) | (~v129(constB128, bitIndex1)) | (~v100(constB128)))),
% 25.36/17.08 inference(transitivity,[status(thm)],[20900, 20898])).
% 25.36/17.08 tff(20902,plain,
% 25.36/17.08 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~v100(constB128)) | (~v129(constB128, bitIndex1)))),
% 25.36/17.08 inference(quant_inst,[status(thm)],[])).
% 25.36/17.08 tff(20903,plain,
% 25.36/17.08 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB128, bitIndex1) | (~v129(constB128, bitIndex1)) | (~v100(constB128))),
% 25.36/17.08 inference(modus_ponens,[status(thm)],[20902, 20901])).
% 25.36/17.08 tff(20904,plain,
% 25.36/17.08 (v90(constB128, bitIndex1) | (~v100(constB128))),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20903, 1583, 20897])).
% 25.36/17.08 tff(20905,plain,
% 25.36/17.08 (v90(constB128, bitIndex1)),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20904, 20834])).
% 25.36/17.08 tff(20906,plain,
% 25.36/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex1))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20907,plain,
% 25.36/17.08 (((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex1)) | v100(constB129) | v90(constB129, bitIndex1)) <=> ((~v90(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex1))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20908,plain,
% 25.36/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex1)) | v100(constB129) | v90(constB129, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex1)))),
% 25.36/17.08 inference(monotonicity,[status(thm)],[20907])).
% 25.36/17.08 tff(20909,plain,
% 25.36/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex1)) | v100(constB129) | v90(constB129, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex1))),
% 25.36/17.08 inference(transitivity,[status(thm)],[20908, 20906])).
% 25.36/17.08 tff(20910,plain,
% 25.36/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex1)) | v100(constB129) | v90(constB129, bitIndex1))),
% 25.36/17.08 inference(quant_inst,[status(thm)],[])).
% 25.36/17.08 tff(20911,plain,
% 25.36/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex1)),
% 25.36/17.08 inference(modus_ponens,[status(thm)],[20910, 20909])).
% 25.36/17.08 tff(20912,plain,
% 25.36/17.08 ((~v90(constB128, bitIndex1)) | v100(constB129) | v90(constB129, bitIndex1)),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20911, 1601, 20862])).
% 25.36/17.08 tff(20913,plain,
% 25.36/17.08 ((~v90(constB128, bitIndex1)) | v90(constB129, bitIndex1)),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20912, 20874])).
% 25.36/17.08 tff(20914,plain,
% 25.36/17.08 (v90(constB129, bitIndex1)),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20913, 20905])).
% 25.36/17.08 tff(20915,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB127)) | (~v130(constB127, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB127)) | (~v130(constB127, bitIndex0)))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20916,plain,
% 25.36/17.08 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB127)) | (~v130(constB127, bitIndex0)))),
% 25.36/17.08 inference(quant_inst,[status(thm)],[])).
% 25.36/17.08 tff(20917,plain,
% 25.36/17.08 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB127)) | (~v130(constB127, bitIndex0))),
% 25.36/17.08 inference(modus_ponens,[status(thm)],[20916, 20915])).
% 25.36/17.08 tff(20918,plain,
% 25.36/17.08 (~v130(constB127, bitIndex0)),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20917, 2023, 20748])).
% 25.36/17.08 tff(20919,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20920,plain,
% 25.36/17.08 ((v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0))) <=> ((~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20921,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0)))),
% 25.36/17.08 inference(monotonicity,[status(thm)],[20920])).
% 25.36/17.08 tff(20922,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))),
% 25.36/17.08 inference(transitivity,[status(thm)],[20921, 20919])).
% 25.36/17.08 tff(20923,plain,
% 25.36/17.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0)))),
% 25.36/17.08 inference(quant_inst,[status(thm)],[])).
% 25.36/17.08 tff(20924,plain,
% 25.36/17.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0)),
% 25.36/17.08 inference(modus_ponens,[status(thm)],[20923, 20922])).
% 25.36/17.08 tff(20925,plain,
% 25.36/17.08 ((~v127(constB127, bitIndex0)) | v130(constB127, bitIndex0)),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20924, 1341, 20782])).
% 25.36/17.08 tff(20926,plain,
% 25.36/17.08 (~v127(constB127, bitIndex0)),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20925, 20918])).
% 25.36/17.08 tff(20927,plain,
% 25.36/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0)))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20928,plain,
% 25.36/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0)))),
% 25.36/17.08 inference(quant_inst,[status(thm)],[])).
% 25.36/17.08 tff(20929,plain,
% 25.36/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0))),
% 25.36/17.08 inference(modus_ponens,[status(thm)],[20928, 20927])).
% 25.36/17.08 tff(20930,plain,
% 25.36/17.08 (v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0))),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20929, 1359, 20800])).
% 25.36/17.08 tff(20931,plain,
% 25.36/17.08 (~v129(constB128, bitIndex0)),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20930, 20926])).
% 25.36/17.08 tff(20932,plain,
% 25.36/17.08 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20933,plain,
% 25.36/17.08 (((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0)) <=> ((~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20934,plain,
% 25.36/17.08 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128))))),
% 25.36/17.08 inference(monotonicity,[status(thm)],[20933])).
% 25.36/17.08 tff(20935,plain,
% 25.36/17.08 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))),
% 25.36/17.08 inference(transitivity,[status(thm)],[20934, 20932])).
% 25.36/17.08 tff(20936,plain,
% 25.36/17.08 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0))),
% 25.36/17.08 inference(quant_inst,[status(thm)],[])).
% 25.36/17.08 tff(20937,plain,
% 25.36/17.08 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128))),
% 25.36/17.08 inference(modus_ponens,[status(thm)],[20936, 20935])).
% 25.36/17.08 tff(20938,plain,
% 25.36/17.08 ((~v90(constB128, bitIndex0)) | (~v100(constB128))),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20937, 1374, 20931])).
% 25.36/17.08 tff(20939,plain,
% 25.36/17.08 (~v90(constB128, bitIndex0)),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20938, 20834])).
% 25.36/17.08 tff(20940,plain,
% 25.36/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20941,plain,
% 25.36/17.08 (((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0))) <=> (v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20942,plain,
% 25.36/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0))))),
% 25.36/17.08 inference(monotonicity,[status(thm)],[20941])).
% 25.36/17.08 tff(20943,plain,
% 25.36/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 25.36/17.08 inference(transitivity,[status(thm)],[20942, 20940])).
% 25.36/17.08 tff(20944,plain,
% 25.36/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 25.36/17.08 inference(quant_inst,[status(thm)],[])).
% 25.36/17.08 tff(20945,plain,
% 25.36/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0))),
% 25.36/17.08 inference(modus_ponens,[status(thm)],[20944, 20943])).
% 25.36/17.08 tff(20946,plain,
% 25.36/17.08 (v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0))),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20945, 934, 20862])).
% 25.36/17.08 tff(20947,plain,
% 25.36/17.08 (v90(constB128, bitIndex0) | (~v90(constB129, bitIndex0))),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20946, 20874])).
% 25.36/17.08 tff(20948,plain,
% 25.36/17.08 (~v90(constB129, bitIndex0)),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20947, 20939])).
% 25.36/17.08 tff(20949,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex2) | v121(constB129))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex2) | v121(constB129))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20950,plain,
% 25.36/17.08 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex2) | v121(constB129))),
% 25.36/17.08 inference(quant_inst,[status(thm)],[])).
% 25.36/17.08 tff(20951,plain,
% 25.36/17.08 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex2) | v121(constB129)),
% 25.36/17.08 inference(modus_ponens,[status(thm)],[20950, 20949])).
% 25.36/17.08 tff(20952,plain,
% 25.36/17.08 (v121(constB129)),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20951, 2145, 20948, 20914, 20883])).
% 25.36/17.08 tff(20953,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB129) | (~v121(constB129)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB129) | (~v121(constB129)))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20954,plain,
% 25.36/17.08 (((~v121(constB129)) | v117(constB129)) <=> (v117(constB129) | (~v121(constB129)))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20955,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB129)) | v117(constB129))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB129) | (~v121(constB129))))),
% 25.36/17.08 inference(monotonicity,[status(thm)],[20954])).
% 25.36/17.08 tff(20956,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB129)) | v117(constB129))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB129) | (~v121(constB129)))),
% 25.36/17.08 inference(transitivity,[status(thm)],[20955, 20953])).
% 25.36/17.08 tff(20957,plain,
% 25.36/17.08 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB129)) | v117(constB129))),
% 25.36/17.08 inference(quant_inst,[status(thm)],[])).
% 25.36/17.08 tff(20958,plain,
% 25.36/17.08 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB129) | (~v121(constB129))),
% 25.36/17.08 inference(modus_ponens,[status(thm)],[20957, 20956])).
% 25.36/17.08 tff(20959,plain,
% 25.36/17.08 (v117(constB129)),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20958, 2102, 20952])).
% 25.36/17.08 tff(20960,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB129) | (~v117(constB129)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB129) | (~v117(constB129)))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20961,plain,
% 25.36/17.08 (((~v117(constB129)) | v116(constB129)) <=> (v116(constB129) | (~v117(constB129)))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20962,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB129)) | v116(constB129))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB129) | (~v117(constB129))))),
% 25.36/17.08 inference(monotonicity,[status(thm)],[20961])).
% 25.36/17.08 tff(20963,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB129)) | v116(constB129))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB129) | (~v117(constB129)))),
% 25.36/17.08 inference(transitivity,[status(thm)],[20962, 20960])).
% 25.36/17.08 tff(20964,plain,
% 25.36/17.08 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB129)) | v116(constB129))),
% 25.36/17.08 inference(quant_inst,[status(thm)],[])).
% 25.36/17.08 tff(20965,plain,
% 25.36/17.08 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB129) | (~v117(constB129))),
% 25.36/17.08 inference(modus_ponens,[status(thm)],[20964, 20963])).
% 25.36/17.08 tff(20966,plain,
% 25.36/17.08 (v116(constB129)),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20965, 994, 20959])).
% 25.36/17.08 tff(20967,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB129) | (~v116(constB129)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB129) | (~v116(constB129)))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20968,plain,
% 25.36/17.08 (((~v116(constB129)) | v115(constB129)) <=> (v115(constB129) | (~v116(constB129)))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20969,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB129)) | v115(constB129))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB129) | (~v116(constB129))))),
% 25.36/17.08 inference(monotonicity,[status(thm)],[20968])).
% 25.36/17.08 tff(20970,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB129)) | v115(constB129))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB129) | (~v116(constB129)))),
% 25.36/17.08 inference(transitivity,[status(thm)],[20969, 20967])).
% 25.36/17.08 tff(20971,plain,
% 25.36/17.08 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB129)) | v115(constB129))),
% 25.36/17.08 inference(quant_inst,[status(thm)],[])).
% 25.36/17.08 tff(20972,plain,
% 25.36/17.08 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB129) | (~v116(constB129))),
% 25.36/17.08 inference(modus_ponens,[status(thm)],[20971, 20970])).
% 25.36/17.08 tff(20973,plain,
% 25.36/17.08 (v115(constB129)),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20972, 1008, 20966])).
% 25.36/17.08 tff(20974,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB129) | (~v115(constB129)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB129) | (~v115(constB129)))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20975,plain,
% 25.36/17.08 (((~v115(constB129)) | v114(constB129)) <=> (v114(constB129) | (~v115(constB129)))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20976,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB129)) | v114(constB129))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB129) | (~v115(constB129))))),
% 25.36/17.08 inference(monotonicity,[status(thm)],[20975])).
% 25.36/17.08 tff(20977,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB129)) | v114(constB129))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB129) | (~v115(constB129)))),
% 25.36/17.08 inference(transitivity,[status(thm)],[20976, 20974])).
% 25.36/17.08 tff(20978,plain,
% 25.36/17.08 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB129)) | v114(constB129))),
% 25.36/17.08 inference(quant_inst,[status(thm)],[])).
% 25.36/17.08 tff(20979,plain,
% 25.36/17.08 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB129) | (~v115(constB129))),
% 25.36/17.08 inference(modus_ponens,[status(thm)],[20978, 20977])).
% 25.36/17.08 tff(20980,plain,
% 25.36/17.08 (v114(constB129)),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20979, 1022, 20973])).
% 25.36/17.08 tff(20981,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB129)) | v113(constB129))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB129)) | v113(constB129))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20982,plain,
% 25.36/17.08 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB129)) | v113(constB129))),
% 25.36/17.08 inference(quant_inst,[status(thm)],[])).
% 25.36/17.08 tff(20983,plain,
% 25.36/17.08 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB129)) | v113(constB129)),
% 25.36/17.08 inference(modus_ponens,[status(thm)],[20982, 20981])).
% 25.36/17.08 tff(20984,plain,
% 25.36/17.08 (v113(constB129)),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20983, 1036, 20980])).
% 25.36/17.08 tff(20985,assumption,(v26(constB129)), introduced(assumption)).
% 25.36/17.08 tff(20986,plain,
% 25.36/17.08 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB129))),
% 25.36/17.08 inference(quant_inst,[status(thm)],[])).
% 25.36/17.08 tff(20987,plain,
% 25.36/17.08 ($false),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20986, 797, 20985])).
% 25.36/17.08 tff(20988,plain,(~v26(constB129)), inference(lemma,lemma(discharge,[]))).
% 25.36/17.08 tff(20989,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | v112(constB129) | (~v113(constB129)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | v112(constB129) | (~v113(constB129)))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20990,plain,
% 25.36/17.08 ((v26(constB129) | (~v113(constB129)) | v112(constB129)) <=> (v26(constB129) | v112(constB129) | (~v113(constB129)))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20991,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | v112(constB129) | (~v113(constB129))))),
% 25.36/17.08 inference(monotonicity,[status(thm)],[20990])).
% 25.36/17.08 tff(20992,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | v112(constB129) | (~v113(constB129)))),
% 25.36/17.08 inference(transitivity,[status(thm)],[20991, 20989])).
% 25.36/17.08 tff(20993,plain,
% 25.36/17.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))),
% 25.36/17.08 inference(quant_inst,[status(thm)],[])).
% 25.36/17.08 tff(20994,plain,
% 25.36/17.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | v112(constB129) | (~v113(constB129))),
% 25.36/17.08 inference(modus_ponens,[status(thm)],[20993, 20992])).
% 25.36/17.08 tff(20995,plain,
% 25.36/17.08 (v112(constB129) | (~v113(constB129))),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20994, 1050, 20988])).
% 25.36/17.08 tff(20996,plain,
% 25.36/17.08 (v112(constB129)),
% 25.36/17.08 inference(unit_resolution,[status(thm)],[20995, 20984])).
% 25.36/17.08 tff(20997,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB129) | (~v112(constB129)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v112(constB129)))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20998,plain,
% 25.36/17.08 (((~v112(constB129)) | v108(constB129)) <=> (v108(constB129) | (~v112(constB129)))),
% 25.36/17.08 inference(rewrite,[status(thm)],[])).
% 25.36/17.08 tff(20999,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB129)) | v108(constB129))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB129) | (~v112(constB129))))),
% 25.36/17.08 inference(monotonicity,[status(thm)],[20998])).
% 25.36/17.08 tff(21000,plain,
% 25.36/17.08 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB129)) | v108(constB129))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v112(constB129)))),
% 25.36/17.08 inference(transitivity,[status(thm)],[20999, 20997])).
% 25.36/17.08 tff(21001,plain,
% 25.36/17.08 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB129)) | v108(constB129))),
% 25.36/17.09 inference(quant_inst,[status(thm)],[])).
% 25.36/17.09 tff(21002,plain,
% 25.36/17.09 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v112(constB129))),
% 25.36/17.09 inference(modus_ponens,[status(thm)],[21001, 21000])).
% 25.36/17.09 tff(21003,plain,
% 25.36/17.09 (v108(constB129)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21002, 1062, 20996])).
% 25.36/17.09 tff(21004,plain,
% 25.36/17.09 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21005,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_129_1')).
% 25.36/17.09 tff(21006,plain,
% 25.36/17.09 (nextState(constB129, constB130)),
% 25.36/17.09 inference(modus_ponens,[status(thm)],[21005, 21004])).
% 25.36/17.09 tff(21007,plain,
% 25.36/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21008,plain,
% 25.36/17.09 (((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130)) <=> ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21009,plain,
% 25.36/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129))))),
% 25.36/17.09 inference(monotonicity,[status(thm)],[21008])).
% 25.36/17.09 tff(21010,plain,
% 25.36/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 25.36/17.09 inference(transitivity,[status(thm)],[21009, 21007])).
% 25.36/17.09 tff(21011,plain,
% 25.36/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))),
% 25.36/17.09 inference(quant_inst,[status(thm)],[])).
% 25.36/17.09 tff(21012,plain,
% 25.36/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129))),
% 25.36/17.09 inference(modus_ponens,[status(thm)],[21011, 21010])).
% 25.36/17.09 tff(21013,plain,
% 25.36/17.09 (v110(constB130) | (~v108(constB129))),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21012, 1082, 21006])).
% 25.36/17.09 tff(21014,plain,
% 25.36/17.09 (v110(constB130)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21013, 21003])).
% 25.36/17.09 tff(21015,plain,
% 25.36/17.09 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21016,plain,
% 25.36/17.09 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))),
% 25.36/17.09 inference(quant_inst,[status(thm)],[])).
% 25.36/17.09 tff(21017,plain,
% 25.36/17.09 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130))),
% 25.36/17.09 inference(modus_ponens,[status(thm)],[21016, 21015])).
% 25.36/17.09 tff(21018,plain,
% 25.36/17.09 (~v104(constB130)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21017, 1100, 21006, 20859])).
% 25.36/17.09 tff(21019,plain,
% 25.36/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21020,plain,
% 25.36/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))),
% 25.36/17.09 inference(quant_inst,[status(thm)],[])).
% 25.36/17.09 tff(21021,plain,
% 25.36/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v102(constB130) | v104(constB130)),
% 25.36/17.09 inference(modus_ponens,[status(thm)],[21020, 21019])).
% 25.36/17.09 tff(21022,plain,
% 25.36/17.09 (v102(constB130) | v104(constB130)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21021, 1114, 21006])).
% 25.36/17.09 tff(21023,plain,
% 25.36/17.09 (v102(constB130)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21022, 21018])).
% 25.36/17.09 tff(21024,plain,
% 25.36/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21025,plain,
% 25.36/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))),
% 25.36/17.09 inference(quant_inst,[status(thm)],[])).
% 25.36/17.09 tff(21026,plain,
% 25.36/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130))),
% 25.36/17.09 inference(modus_ponens,[status(thm)],[21025, 21024])).
% 25.36/17.09 tff(21027,plain,
% 25.36/17.09 (v101(constB130) | (~v102(constB130))),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21026, 1129, 21006, 240])).
% 25.36/17.09 tff(21028,plain,
% 25.36/17.09 (v101(constB130)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21027, 21023])).
% 25.36/17.09 tff(21029,plain,
% 25.36/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21030,plain,
% 25.36/17.09 (((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130)) <=> ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21031,plain,
% 25.36/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130))))),
% 25.36/17.09 inference(monotonicity,[status(thm)],[21030])).
% 25.36/17.09 tff(21032,plain,
% 25.36/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 25.36/17.09 inference(transitivity,[status(thm)],[21031, 21029])).
% 25.36/17.09 tff(21033,plain,
% 25.36/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))),
% 25.36/17.09 inference(quant_inst,[status(thm)],[])).
% 25.36/17.09 tff(21034,plain,
% 25.36/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 25.36/17.09 inference(modus_ponens,[status(thm)],[21033, 21032])).
% 25.36/17.09 tff(21035,plain,
% 25.36/17.09 (v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21034, 1144, 21006])).
% 25.36/17.09 tff(21036,plain,
% 25.36/17.09 (v100(constB130) | (~v110(constB130))),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21035, 21028])).
% 25.36/17.09 tff(21037,plain,
% 25.36/17.09 (v100(constB130)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21036, 21014])).
% 25.36/17.09 tff(21038,plain,
% 25.36/17.09 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB129)) | (~v130(constB129, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB129)) | (~v130(constB129, bitIndex2)))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21039,plain,
% 25.36/17.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB129)) | (~v130(constB129, bitIndex2)))),
% 25.36/17.09 inference(quant_inst,[status(thm)],[])).
% 25.36/17.09 tff(21040,plain,
% 25.36/17.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB129)) | (~v130(constB129, bitIndex2))),
% 25.36/17.09 inference(modus_ponens,[status(thm)],[21039, 21038])).
% 25.36/17.09 tff(21041,plain,
% 25.36/17.09 (~v130(constB129, bitIndex2)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21040, 2406, 20952])).
% 25.36/17.09 tff(21042,plain,
% 25.36/17.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB129, bitIndex2)) | v26(constB129) | v130(constB129, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB129, bitIndex2)) | v26(constB129) | v130(constB129, bitIndex2))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21043,plain,
% 25.36/17.09 ((v26(constB129) | v130(constB129, bitIndex2) | (~v127(constB129, bitIndex2))) <=> ((~v127(constB129, bitIndex2)) | v26(constB129) | v130(constB129, bitIndex2))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21044,plain,
% 25.36/17.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB129) | v130(constB129, bitIndex2) | (~v127(constB129, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB129, bitIndex2)) | v26(constB129) | v130(constB129, bitIndex2)))),
% 25.36/17.09 inference(monotonicity,[status(thm)],[21043])).
% 25.36/17.09 tff(21045,plain,
% 25.36/17.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB129) | v130(constB129, bitIndex2) | (~v127(constB129, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB129, bitIndex2)) | v26(constB129) | v130(constB129, bitIndex2))),
% 25.36/17.09 inference(transitivity,[status(thm)],[21044, 21042])).
% 25.36/17.09 tff(21046,plain,
% 25.36/17.09 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB129) | v130(constB129, bitIndex2) | (~v127(constB129, bitIndex2)))),
% 25.36/17.09 inference(quant_inst,[status(thm)],[])).
% 25.36/17.09 tff(21047,plain,
% 25.36/17.09 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB129, bitIndex2)) | v26(constB129) | v130(constB129, bitIndex2)),
% 25.36/17.09 inference(modus_ponens,[status(thm)],[21046, 21045])).
% 25.36/17.09 tff(21048,plain,
% 25.36/17.09 ((~v127(constB129, bitIndex2)) | v130(constB129, bitIndex2)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21047, 1812, 20988])).
% 25.36/17.09 tff(21049,plain,
% 25.36/17.09 (~v127(constB129, bitIndex2)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21048, 21041])).
% 25.36/17.09 tff(21050,plain,
% 25.36/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB129, constB130)) | v127(constB129, bitIndex2) | (~v129(constB130, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB129, constB130)) | v127(constB129, bitIndex2) | (~v129(constB130, bitIndex2)))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21051,plain,
% 25.36/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB129, constB130)) | v127(constB129, bitIndex2) | (~v129(constB130, bitIndex2)))),
% 25.36/17.09 inference(quant_inst,[status(thm)],[])).
% 25.36/17.09 tff(21052,plain,
% 25.36/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB129, constB130)) | v127(constB129, bitIndex2) | (~v129(constB130, bitIndex2))),
% 25.36/17.09 inference(modus_ponens,[status(thm)],[21051, 21050])).
% 25.36/17.09 tff(21053,plain,
% 25.36/17.09 (v127(constB129, bitIndex2) | (~v129(constB130, bitIndex2))),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21052, 1830, 21006])).
% 25.36/17.09 tff(21054,plain,
% 25.36/17.09 (~v129(constB130, bitIndex2)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21053, 21049])).
% 25.36/17.09 tff(21055,plain,
% 25.36/17.09 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB130, bitIndex2)) | v129(constB130, bitIndex2) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB130, bitIndex2)) | v129(constB130, bitIndex2) | (~v100(constB130)))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21056,plain,
% 25.36/17.09 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB130, bitIndex2)) | v129(constB130, bitIndex2) | (~v100(constB130)))),
% 25.36/17.09 inference(quant_inst,[status(thm)],[])).
% 25.36/17.09 tff(21057,plain,
% 25.36/17.09 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB130, bitIndex2)) | v129(constB130, bitIndex2) | (~v100(constB130))),
% 25.36/17.09 inference(modus_ponens,[status(thm)],[21056, 21055])).
% 25.36/17.09 tff(21058,plain,
% 25.36/17.09 ((~v90(constB130, bitIndex2)) | (~v100(constB130))),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21057, 1845, 21054])).
% 25.36/17.09 tff(21059,plain,
% 25.36/17.09 (~v90(constB130, bitIndex2)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21058, 21037])).
% 25.36/17.09 tff(21060,plain,
% 25.36/17.09 ((~v1(constB131)) <=> (~v1(constB131))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21061,axiom,(~v1(constB131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_131_1_1')).
% 25.36/17.09 tff(21062,plain,
% 25.36/17.09 (~v1(constB131)),
% 25.36/17.09 inference(modus_ponens,[status(thm)],[21061, 21060])).
% 25.36/17.09 tff(21063,plain,
% 25.36/17.09 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21064,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_130_1')).
% 25.36/17.09 tff(21065,plain,
% 25.36/17.09 (nextState(constB130, constB131)),
% 25.36/17.09 inference(modus_ponens,[status(thm)],[21064, 21063])).
% 25.36/17.09 tff(21066,plain,
% 25.36/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21067,plain,
% 25.36/17.09 (((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131)) <=> (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21068,plain,
% 25.36/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131))))),
% 25.36/17.09 inference(monotonicity,[status(thm)],[21067])).
% 25.36/17.09 tff(21069,plain,
% 25.36/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 25.36/17.09 inference(transitivity,[status(thm)],[21068, 21066])).
% 25.36/17.09 tff(21070,plain,
% 25.36/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))),
% 25.36/17.09 inference(quant_inst,[status(thm)],[])).
% 25.36/17.09 tff(21071,plain,
% 25.36/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131))),
% 25.36/17.09 inference(modus_ponens,[status(thm)],[21070, 21069])).
% 25.36/17.09 tff(21072,plain,
% 25.36/17.09 (~v101(constB131)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21071, 860, 21065, 21062])).
% 25.36/17.09 tff(21073,plain,
% 25.36/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21074,plain,
% 25.36/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))),
% 25.36/17.09 inference(quant_inst,[status(thm)],[])).
% 25.36/17.09 tff(21075,plain,
% 25.36/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131))),
% 25.36/17.09 inference(modus_ponens,[status(thm)],[21074, 21073])).
% 25.36/17.09 tff(21076,plain,
% 25.36/17.09 (v101(constB131) | (~v100(constB131))),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21075, 877, 21065])).
% 25.36/17.09 tff(21077,plain,
% 25.36/17.09 (~v100(constB131)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21076, 21072])).
% 25.36/17.09 tff(21078,plain,
% 25.36/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex2)))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21079,plain,
% 25.36/17.09 (((~nextState(constB130, constB131)) | v90(constB130, bitIndex2) | v100(constB131) | (~v90(constB131, bitIndex2))) <=> (v90(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex2)))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21080,plain,
% 25.36/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex2) | v100(constB131) | (~v90(constB131, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex2))))),
% 25.36/17.09 inference(monotonicity,[status(thm)],[21079])).
% 25.36/17.09 tff(21081,plain,
% 25.36/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex2) | v100(constB131) | (~v90(constB131, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex2)))),
% 25.36/17.09 inference(transitivity,[status(thm)],[21080, 21078])).
% 25.36/17.09 tff(21082,plain,
% 25.36/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex2) | v100(constB131) | (~v90(constB131, bitIndex2)))),
% 25.36/17.09 inference(quant_inst,[status(thm)],[])).
% 25.36/17.09 tff(21083,plain,
% 25.36/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex2))),
% 25.36/17.09 inference(modus_ponens,[status(thm)],[21082, 21081])).
% 25.36/17.09 tff(21084,plain,
% 25.36/17.09 (v90(constB130, bitIndex2) | v100(constB131) | (~v90(constB131, bitIndex2))),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21083, 892, 21065])).
% 25.36/17.09 tff(21085,plain,
% 25.36/17.09 (v90(constB130, bitIndex2) | (~v90(constB131, bitIndex2))),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21084, 21077])).
% 25.36/17.09 tff(21086,plain,
% 25.36/17.09 (~v90(constB131, bitIndex2)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21085, 21059])).
% 25.36/17.09 tff(21087,plain,
% 25.36/17.09 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB129)) | v130(constB129, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB129)) | v130(constB129, bitIndex1))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21088,plain,
% 25.36/17.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB129)) | v130(constB129, bitIndex1))),
% 25.36/17.09 inference(quant_inst,[status(thm)],[])).
% 25.36/17.09 tff(21089,plain,
% 25.36/17.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB129)) | v130(constB129, bitIndex1)),
% 25.36/17.09 inference(modus_ponens,[status(thm)],[21088, 21087])).
% 25.36/17.09 tff(21090,plain,
% 25.36/17.09 (v130(constB129, bitIndex1)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21089, 2562, 20952])).
% 25.36/17.09 tff(21091,plain,
% 25.36/17.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB129) | (~v130(constB129, bitIndex1)) | v127(constB129, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB129) | (~v130(constB129, bitIndex1)) | v127(constB129, bitIndex1))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21092,plain,
% 25.36/17.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB129) | (~v130(constB129, bitIndex1)) | v127(constB129, bitIndex1))),
% 25.36/17.09 inference(quant_inst,[status(thm)],[])).
% 25.36/17.09 tff(21093,plain,
% 25.36/17.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB129) | (~v130(constB129, bitIndex1)) | v127(constB129, bitIndex1)),
% 25.36/17.09 inference(modus_ponens,[status(thm)],[21092, 21091])).
% 25.36/17.09 tff(21094,plain,
% 25.36/17.09 ((~v130(constB129, bitIndex1)) | v127(constB129, bitIndex1)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21093, 1553, 20988])).
% 25.36/17.09 tff(21095,plain,
% 25.36/17.09 (v127(constB129, bitIndex1)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21094, 21090])).
% 25.36/17.09 tff(21096,plain,
% 25.36/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex1)) | v129(constB130, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex1)) | v129(constB130, bitIndex1))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21097,plain,
% 25.36/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex1)) | v129(constB130, bitIndex1))),
% 25.36/17.09 inference(quant_inst,[status(thm)],[])).
% 25.36/17.09 tff(21098,plain,
% 25.36/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex1)) | v129(constB130, bitIndex1)),
% 25.36/17.09 inference(modus_ponens,[status(thm)],[21097, 21096])).
% 25.36/17.09 tff(21099,plain,
% 25.36/17.09 ((~v127(constB129, bitIndex1)) | v129(constB130, bitIndex1)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21098, 1568, 21006])).
% 25.36/17.09 tff(21100,plain,
% 25.36/17.09 (v129(constB130, bitIndex1)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21099, 21095])).
% 25.36/17.09 tff(21101,plain,
% 25.36/17.09 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~v129(constB130, bitIndex1)) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB130, bitIndex1) | (~v129(constB130, bitIndex1)) | (~v100(constB130)))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21102,plain,
% 25.36/17.09 ((v90(constB130, bitIndex1) | (~v100(constB130)) | (~v129(constB130, bitIndex1))) <=> (v90(constB130, bitIndex1) | (~v129(constB130, bitIndex1)) | (~v100(constB130)))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21103,plain,
% 25.36/17.09 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~v100(constB130)) | (~v129(constB130, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~v129(constB130, bitIndex1)) | (~v100(constB130))))),
% 25.36/17.09 inference(monotonicity,[status(thm)],[21102])).
% 25.36/17.09 tff(21104,plain,
% 25.36/17.09 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~v100(constB130)) | (~v129(constB130, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB130, bitIndex1) | (~v129(constB130, bitIndex1)) | (~v100(constB130)))),
% 25.36/17.09 inference(transitivity,[status(thm)],[21103, 21101])).
% 25.36/17.09 tff(21105,plain,
% 25.36/17.09 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~v100(constB130)) | (~v129(constB130, bitIndex1)))),
% 25.36/17.09 inference(quant_inst,[status(thm)],[])).
% 25.36/17.09 tff(21106,plain,
% 25.36/17.09 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB130, bitIndex1) | (~v129(constB130, bitIndex1)) | (~v100(constB130))),
% 25.36/17.09 inference(modus_ponens,[status(thm)],[21105, 21104])).
% 25.36/17.09 tff(21107,plain,
% 25.36/17.09 (v90(constB130, bitIndex1) | (~v100(constB130))),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21106, 1583, 21100])).
% 25.36/17.09 tff(21108,plain,
% 25.36/17.09 (v90(constB130, bitIndex1)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21107, 21037])).
% 25.36/17.09 tff(21109,plain,
% 25.36/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex1))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21110,plain,
% 25.36/17.09 (((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex1)) | v100(constB131) | v90(constB131, bitIndex1)) <=> ((~v90(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex1))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21111,plain,
% 25.36/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex1)) | v100(constB131) | v90(constB131, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex1)))),
% 25.36/17.09 inference(monotonicity,[status(thm)],[21110])).
% 25.36/17.09 tff(21112,plain,
% 25.36/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex1)) | v100(constB131) | v90(constB131, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex1))),
% 25.36/17.09 inference(transitivity,[status(thm)],[21111, 21109])).
% 25.36/17.09 tff(21113,plain,
% 25.36/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex1)) | v100(constB131) | v90(constB131, bitIndex1))),
% 25.36/17.09 inference(quant_inst,[status(thm)],[])).
% 25.36/17.09 tff(21114,plain,
% 25.36/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex1)),
% 25.36/17.09 inference(modus_ponens,[status(thm)],[21113, 21112])).
% 25.36/17.09 tff(21115,plain,
% 25.36/17.09 ((~v90(constB130, bitIndex1)) | v100(constB131) | v90(constB131, bitIndex1)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21114, 1601, 21065])).
% 25.36/17.09 tff(21116,plain,
% 25.36/17.09 ((~v90(constB130, bitIndex1)) | v90(constB131, bitIndex1)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21115, 21077])).
% 25.36/17.09 tff(21117,plain,
% 25.36/17.09 (v90(constB131, bitIndex1)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21116, 21108])).
% 25.36/17.09 tff(21118,plain,
% 25.36/17.09 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB129)) | v130(constB129, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB129)) | v130(constB129, bitIndex0))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21119,plain,
% 25.36/17.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB129)) | v130(constB129, bitIndex0))),
% 25.36/17.09 inference(quant_inst,[status(thm)],[])).
% 25.36/17.09 tff(21120,plain,
% 25.36/17.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB129)) | v130(constB129, bitIndex0)),
% 25.36/17.09 inference(modus_ponens,[status(thm)],[21119, 21118])).
% 25.36/17.09 tff(21121,plain,
% 25.36/17.09 (v130(constB129, bitIndex0)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21120, 2600, 20952])).
% 25.36/17.09 tff(21122,plain,
% 25.36/17.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21123,plain,
% 25.36/17.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0))),
% 25.36/17.09 inference(quant_inst,[status(thm)],[])).
% 25.36/17.09 tff(21124,plain,
% 25.36/17.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0)),
% 25.36/17.09 inference(modus_ponens,[status(thm)],[21123, 21122])).
% 25.36/17.09 tff(21125,plain,
% 25.36/17.09 ((~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21124, 1945, 20988])).
% 25.36/17.09 tff(21126,plain,
% 25.36/17.09 (v127(constB129, bitIndex0)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21125, 21121])).
% 25.36/17.09 tff(21127,plain,
% 25.36/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21128,plain,
% 25.36/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0))),
% 25.36/17.09 inference(quant_inst,[status(thm)],[])).
% 25.36/17.09 tff(21129,plain,
% 25.36/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0)),
% 25.36/17.09 inference(modus_ponens,[status(thm)],[21128, 21127])).
% 25.36/17.09 tff(21130,plain,
% 25.36/17.09 ((~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21129, 1960, 21006])).
% 25.36/17.09 tff(21131,plain,
% 25.36/17.09 (v129(constB130, bitIndex0)),
% 25.36/17.09 inference(unit_resolution,[status(thm)],[21130, 21126])).
% 25.36/17.09 tff(21132,plain,
% 25.36/17.09 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21133,plain,
% 25.36/17.09 ((v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0))) <=> (v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))),
% 25.36/17.09 inference(rewrite,[status(thm)],[])).
% 25.36/17.09 tff(21134,plain,
% 25.36/17.09 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130))))),
% 25.36/17.09 inference(monotonicity,[status(thm)],[21133])).
% 25.36/17.09 tff(21135,plain,
% 25.36/17.09 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))),
% 25.36/17.10 inference(transitivity,[status(thm)],[21134, 21132])).
% 25.36/17.10 tff(21136,plain,
% 25.36/17.10 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0)))),
% 25.36/17.10 inference(quant_inst,[status(thm)],[])).
% 25.36/17.10 tff(21137,plain,
% 25.36/17.10 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130))),
% 25.36/17.10 inference(modus_ponens,[status(thm)],[21136, 21135])).
% 25.36/17.10 tff(21138,plain,
% 25.36/17.10 (v90(constB130, bitIndex0) | (~v100(constB130))),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21137, 1975, 21131])).
% 25.36/17.10 tff(21139,plain,
% 25.36/17.10 (v90(constB130, bitIndex0)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21138, 21037])).
% 25.36/17.10 tff(21140,plain,
% 25.36/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21141,plain,
% 25.36/17.10 (((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0)) <=> ((~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21142,plain,
% 25.36/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0)))),
% 25.36/17.10 inference(monotonicity,[status(thm)],[21141])).
% 25.36/17.10 tff(21143,plain,
% 25.36/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))),
% 25.36/17.10 inference(transitivity,[status(thm)],[21142, 21140])).
% 25.36/17.10 tff(21144,plain,
% 25.36/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0))),
% 25.36/17.10 inference(quant_inst,[status(thm)],[])).
% 25.36/17.10 tff(21145,plain,
% 25.36/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0)),
% 25.36/17.10 inference(modus_ponens,[status(thm)],[21144, 21143])).
% 25.36/17.10 tff(21146,plain,
% 25.36/17.10 ((~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21145, 1993, 21065])).
% 25.36/17.10 tff(21147,plain,
% 25.36/17.10 ((~v90(constB130, bitIndex0)) | v90(constB131, bitIndex0)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21146, 21077])).
% 25.36/17.10 tff(21148,plain,
% 25.36/17.10 (v90(constB131, bitIndex0)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21147, 21139])).
% 25.36/17.10 tff(21149,plain,
% 25.36/17.10 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v122(constB131))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v122(constB131))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21150,plain,
% 25.36/17.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v122(constB131))),
% 25.36/17.10 inference(quant_inst,[status(thm)],[])).
% 25.36/17.10 tff(21151,plain,
% 25.36/17.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v122(constB131)),
% 25.36/17.10 inference(modus_ponens,[status(thm)],[21150, 21149])).
% 25.36/17.10 tff(21152,plain,
% 25.36/17.10 (v122(constB131)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21151, 2641, 21148, 21117, 21086])).
% 25.36/17.10 tff(21153,plain,
% 25.36/17.10 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB131) | (~v122(constB131)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB131) | (~v122(constB131)))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21154,plain,
% 25.36/17.10 (((~v122(constB131)) | v116(constB131)) <=> (v116(constB131) | (~v122(constB131)))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21155,plain,
% 25.36/17.10 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB131)) | v116(constB131))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB131) | (~v122(constB131))))),
% 25.36/17.10 inference(monotonicity,[status(thm)],[21154])).
% 25.36/17.10 tff(21156,plain,
% 25.36/17.10 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB131)) | v116(constB131))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB131) | (~v122(constB131)))),
% 25.36/17.10 inference(transitivity,[status(thm)],[21155, 21153])).
% 25.36/17.10 tff(21157,plain,
% 25.36/17.10 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB131)) | v116(constB131))),
% 25.36/17.10 inference(quant_inst,[status(thm)],[])).
% 25.36/17.10 tff(21158,plain,
% 25.36/17.10 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB131) | (~v122(constB131))),
% 25.36/17.10 inference(modus_ponens,[status(thm)],[21157, 21156])).
% 25.36/17.10 tff(21159,plain,
% 25.36/17.10 (v116(constB131)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21158, 2652, 21152])).
% 25.36/17.10 tff(21160,plain,
% 25.36/17.10 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB131) | (~v116(constB131)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB131) | (~v116(constB131)))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21161,plain,
% 25.36/17.10 (((~v116(constB131)) | v115(constB131)) <=> (v115(constB131) | (~v116(constB131)))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21162,plain,
% 25.36/17.10 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB131)) | v115(constB131))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB131) | (~v116(constB131))))),
% 25.36/17.10 inference(monotonicity,[status(thm)],[21161])).
% 25.36/17.10 tff(21163,plain,
% 25.36/17.10 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB131)) | v115(constB131))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB131) | (~v116(constB131)))),
% 25.36/17.10 inference(transitivity,[status(thm)],[21162, 21160])).
% 25.36/17.10 tff(21164,plain,
% 25.36/17.10 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB131)) | v115(constB131))),
% 25.36/17.10 inference(quant_inst,[status(thm)],[])).
% 25.36/17.10 tff(21165,plain,
% 25.36/17.10 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB131) | (~v116(constB131))),
% 25.36/17.10 inference(modus_ponens,[status(thm)],[21164, 21163])).
% 25.36/17.10 tff(21166,plain,
% 25.36/17.10 (v115(constB131)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21165, 1008, 21159])).
% 25.36/17.10 tff(21167,plain,
% 25.36/17.10 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB131) | (~v115(constB131)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB131) | (~v115(constB131)))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21168,plain,
% 25.36/17.10 (((~v115(constB131)) | v114(constB131)) <=> (v114(constB131) | (~v115(constB131)))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21169,plain,
% 25.36/17.10 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB131)) | v114(constB131))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB131) | (~v115(constB131))))),
% 25.36/17.10 inference(monotonicity,[status(thm)],[21168])).
% 25.36/17.10 tff(21170,plain,
% 25.36/17.10 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB131)) | v114(constB131))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB131) | (~v115(constB131)))),
% 25.36/17.10 inference(transitivity,[status(thm)],[21169, 21167])).
% 25.36/17.10 tff(21171,plain,
% 25.36/17.10 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB131)) | v114(constB131))),
% 25.36/17.10 inference(quant_inst,[status(thm)],[])).
% 25.36/17.10 tff(21172,plain,
% 25.36/17.10 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB131) | (~v115(constB131))),
% 25.36/17.10 inference(modus_ponens,[status(thm)],[21171, 21170])).
% 25.36/17.10 tff(21173,plain,
% 25.36/17.10 (v114(constB131)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21172, 1022, 21166])).
% 25.36/17.10 tff(21174,plain,
% 25.36/17.10 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB131) | (~v114(constB131)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB131) | (~v114(constB131)))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21175,plain,
% 25.36/17.10 (((~v114(constB131)) | v113(constB131)) <=> (v113(constB131) | (~v114(constB131)))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21176,plain,
% 25.36/17.10 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB131)) | v113(constB131))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB131) | (~v114(constB131))))),
% 25.36/17.10 inference(monotonicity,[status(thm)],[21175])).
% 25.36/17.10 tff(21177,plain,
% 25.36/17.10 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB131)) | v113(constB131))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB131) | (~v114(constB131)))),
% 25.36/17.10 inference(transitivity,[status(thm)],[21176, 21174])).
% 25.36/17.10 tff(21178,plain,
% 25.36/17.10 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB131)) | v113(constB131))),
% 25.36/17.10 inference(quant_inst,[status(thm)],[])).
% 25.36/17.10 tff(21179,plain,
% 25.36/17.10 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB131) | (~v114(constB131))),
% 25.36/17.10 inference(modus_ponens,[status(thm)],[21178, 21177])).
% 25.36/17.10 tff(21180,plain,
% 25.36/17.10 (v113(constB131)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21179, 1036, 21173])).
% 25.36/17.10 tff(21181,assumption,(~v108(constB131)), introduced(assumption)).
% 25.36/17.10 tff(21182,plain,
% 25.36/17.10 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB131) | (~v112(constB131)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v112(constB131)))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21183,plain,
% 25.36/17.10 (((~v112(constB131)) | v108(constB131)) <=> (v108(constB131) | (~v112(constB131)))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21184,plain,
% 25.36/17.10 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB131)) | v108(constB131))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB131) | (~v112(constB131))))),
% 25.36/17.10 inference(monotonicity,[status(thm)],[21183])).
% 25.36/17.10 tff(21185,plain,
% 25.36/17.10 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB131)) | v108(constB131))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v112(constB131)))),
% 25.36/17.10 inference(transitivity,[status(thm)],[21184, 21182])).
% 25.36/17.10 tff(21186,plain,
% 25.36/17.10 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB131)) | v108(constB131))),
% 25.36/17.10 inference(quant_inst,[status(thm)],[])).
% 25.36/17.10 tff(21187,plain,
% 25.36/17.10 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v112(constB131))),
% 25.36/17.10 inference(modus_ponens,[status(thm)],[21186, 21185])).
% 25.36/17.10 tff(21188,plain,
% 25.36/17.10 (~v112(constB131)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21187, 1062, 21181])).
% 25.36/17.10 tff(21189,plain,
% 25.36/17.10 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB131) | (~v26(constB131)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v26(constB131)))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21190,plain,
% 25.36/17.10 (((~v26(constB131)) | v108(constB131)) <=> (v108(constB131) | (~v26(constB131)))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21191,plain,
% 25.36/17.10 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB131)) | v108(constB131))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB131) | (~v26(constB131))))),
% 25.36/17.10 inference(monotonicity,[status(thm)],[21190])).
% 25.36/17.10 tff(21192,plain,
% 25.36/17.10 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB131)) | v108(constB131))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v26(constB131)))),
% 25.36/17.10 inference(transitivity,[status(thm)],[21191, 21189])).
% 25.36/17.10 tff(21193,plain,
% 25.36/17.10 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB131)) | v108(constB131))),
% 25.36/17.10 inference(quant_inst,[status(thm)],[])).
% 25.36/17.10 tff(21194,plain,
% 25.36/17.10 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v26(constB131))),
% 25.36/17.10 inference(modus_ponens,[status(thm)],[21193, 21192])).
% 25.36/17.10 tff(21195,plain,
% 25.36/17.10 (~v26(constB131)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21194, 2441, 21181])).
% 25.36/17.10 tff(21196,assumption,(v113(constB131)), introduced(assumption)).
% 25.36/17.10 tff(21197,plain,
% 25.36/17.10 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | v112(constB131) | (~v113(constB131)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | v112(constB131) | (~v113(constB131)))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21198,plain,
% 25.36/17.10 ((v26(constB131) | (~v113(constB131)) | v112(constB131)) <=> (v26(constB131) | v112(constB131) | (~v113(constB131)))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21199,plain,
% 25.36/17.10 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | v112(constB131) | (~v113(constB131))))),
% 25.36/17.10 inference(monotonicity,[status(thm)],[21198])).
% 25.36/17.10 tff(21200,plain,
% 25.36/17.10 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | v112(constB131) | (~v113(constB131)))),
% 25.36/17.10 inference(transitivity,[status(thm)],[21199, 21197])).
% 25.36/17.10 tff(21201,plain,
% 25.36/17.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))),
% 25.36/17.10 inference(quant_inst,[status(thm)],[])).
% 25.36/17.10 tff(21202,plain,
% 25.36/17.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | v112(constB131) | (~v113(constB131))),
% 25.36/17.10 inference(modus_ponens,[status(thm)],[21201, 21200])).
% 25.36/17.10 tff(21203,plain,
% 25.36/17.10 (v26(constB131) | v112(constB131)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21202, 1050, 21196])).
% 25.36/17.10 tff(21204,plain,
% 25.36/17.10 ($false),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21203, 21195, 21188])).
% 25.36/17.10 tff(21205,plain,(v108(constB131) | (~v113(constB131))), inference(lemma,lemma(discharge,[]))).
% 25.36/17.10 tff(21206,plain,
% 25.36/17.10 (v108(constB131)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21205, 21180])).
% 25.36/17.10 tff(21207,plain,
% 25.36/17.10 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21208,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_131_1')).
% 25.36/17.10 tff(21209,plain,
% 25.36/17.10 (nextState(constB131, constB132)),
% 25.36/17.10 inference(modus_ponens,[status(thm)],[21208, 21207])).
% 25.36/17.10 tff(21210,plain,
% 25.36/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21211,plain,
% 25.36/17.10 (((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132)) <=> ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21212,plain,
% 25.36/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131))))),
% 25.36/17.10 inference(monotonicity,[status(thm)],[21211])).
% 25.36/17.10 tff(21213,plain,
% 25.36/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 25.36/17.10 inference(transitivity,[status(thm)],[21212, 21210])).
% 25.36/17.10 tff(21214,plain,
% 25.36/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))),
% 25.36/17.10 inference(quant_inst,[status(thm)],[])).
% 25.36/17.10 tff(21215,plain,
% 25.36/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131))),
% 25.36/17.10 inference(modus_ponens,[status(thm)],[21214, 21213])).
% 25.36/17.10 tff(21216,plain,
% 25.36/17.10 (v110(constB132) | (~v108(constB131))),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21215, 1082, 21209])).
% 25.36/17.10 tff(21217,plain,
% 25.36/17.10 (v110(constB132)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21216, 21206])).
% 25.36/17.10 tff(21218,plain,
% 25.36/17.10 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21219,plain,
% 25.36/17.10 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))),
% 25.36/17.10 inference(quant_inst,[status(thm)],[])).
% 25.36/17.10 tff(21220,plain,
% 25.36/17.10 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132))),
% 25.36/17.10 inference(modus_ponens,[status(thm)],[21219, 21218])).
% 25.36/17.10 tff(21221,plain,
% 25.36/17.10 (~v104(constB132)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21220, 1100, 21209, 21062])).
% 25.36/17.10 tff(21222,plain,
% 25.36/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21223,plain,
% 25.36/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))),
% 25.36/17.10 inference(quant_inst,[status(thm)],[])).
% 25.36/17.10 tff(21224,plain,
% 25.36/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v102(constB132) | v104(constB132)),
% 25.36/17.10 inference(modus_ponens,[status(thm)],[21223, 21222])).
% 25.36/17.10 tff(21225,plain,
% 25.36/17.10 (v102(constB132) | v104(constB132)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21224, 1114, 21209])).
% 25.36/17.10 tff(21226,plain,
% 25.36/17.10 (v102(constB132)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21225, 21221])).
% 25.36/17.10 tff(21227,plain,
% 25.36/17.10 (v1(constB132) <=> v1(constB132)),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21228,axiom,(v1(constB132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_132_1')).
% 25.36/17.10 tff(21229,plain,
% 25.36/17.10 (v1(constB132)),
% 25.36/17.10 inference(modus_ponens,[status(thm)],[21228, 21227])).
% 25.36/17.10 tff(21230,plain,
% 25.36/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21231,plain,
% 25.36/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))),
% 25.36/17.10 inference(quant_inst,[status(thm)],[])).
% 25.36/17.10 tff(21232,plain,
% 25.36/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132))),
% 25.36/17.10 inference(modus_ponens,[status(thm)],[21231, 21230])).
% 25.36/17.10 tff(21233,plain,
% 25.36/17.10 (v101(constB132) | (~v102(constB132))),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21232, 1129, 21209, 21229])).
% 25.36/17.10 tff(21234,plain,
% 25.36/17.10 (v101(constB132)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21233, 21226])).
% 25.36/17.10 tff(21235,plain,
% 25.36/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21236,plain,
% 25.36/17.10 (((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132)) <=> ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21237,plain,
% 25.36/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132))))),
% 25.36/17.10 inference(monotonicity,[status(thm)],[21236])).
% 25.36/17.10 tff(21238,plain,
% 25.36/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 25.36/17.10 inference(transitivity,[status(thm)],[21237, 21235])).
% 25.36/17.10 tff(21239,plain,
% 25.36/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))),
% 25.36/17.10 inference(quant_inst,[status(thm)],[])).
% 25.36/17.10 tff(21240,plain,
% 25.36/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 25.36/17.10 inference(modus_ponens,[status(thm)],[21239, 21238])).
% 25.36/17.10 tff(21241,plain,
% 25.36/17.10 (v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21240, 1144, 21209])).
% 25.36/17.10 tff(21242,plain,
% 25.36/17.10 (v100(constB132) | (~v110(constB132))),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21241, 21234])).
% 25.36/17.10 tff(21243,plain,
% 25.36/17.10 (v100(constB132)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21242, 21217])).
% 25.36/17.10 tff(21244,plain,
% 25.36/17.10 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB131)) | v130(constB131, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB131)) | v130(constB131, bitIndex2))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21245,plain,
% 25.36/17.10 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB131)) | v130(constB131, bitIndex2))),
% 25.36/17.10 inference(quant_inst,[status(thm)],[])).
% 25.36/17.10 tff(21246,plain,
% 25.36/17.10 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB131)) | v130(constB131, bitIndex2)),
% 25.36/17.10 inference(modus_ponens,[status(thm)],[21245, 21244])).
% 25.36/17.10 tff(21247,plain,
% 25.36/17.10 (v130(constB131, bitIndex2)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21246, 2736, 21152])).
% 25.36/17.10 tff(21248,assumption,(v26(constB131)), introduced(assumption)).
% 25.36/17.10 tff(21249,plain,
% 25.36/17.10 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB131))),
% 25.36/17.10 inference(quant_inst,[status(thm)],[])).
% 25.36/17.10 tff(21250,plain,
% 25.36/17.10 ($false),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21249, 797, 21248])).
% 25.36/17.10 tff(21251,plain,(~v26(constB131)), inference(lemma,lemma(discharge,[]))).
% 25.36/17.10 tff(21252,plain,
% 25.36/17.10 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21253,plain,
% 25.36/17.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2))),
% 25.36/17.10 inference(quant_inst,[status(thm)],[])).
% 25.36/17.10 tff(21254,plain,
% 25.36/17.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2)),
% 25.36/17.10 inference(modus_ponens,[status(thm)],[21253, 21252])).
% 25.36/17.10 tff(21255,plain,
% 25.36/17.10 ((~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21254, 1174, 21251])).
% 25.36/17.10 tff(21256,plain,
% 25.36/17.10 (v127(constB131, bitIndex2)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21255, 21247])).
% 25.36/17.10 tff(21257,plain,
% 25.36/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21258,plain,
% 25.36/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2))),
% 25.36/17.10 inference(quant_inst,[status(thm)],[])).
% 25.36/17.10 tff(21259,plain,
% 25.36/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2)),
% 25.36/17.10 inference(modus_ponens,[status(thm)],[21258, 21257])).
% 25.36/17.10 tff(21260,plain,
% 25.36/17.10 ((~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21259, 1189, 21209])).
% 25.36/17.10 tff(21261,plain,
% 25.36/17.10 (v129(constB132, bitIndex2)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21260, 21256])).
% 25.36/17.10 tff(21262,plain,
% 25.36/17.10 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21263,plain,
% 25.36/17.10 ((v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2))) <=> (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21264,plain,
% 25.36/17.10 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132))))),
% 25.36/17.10 inference(monotonicity,[status(thm)],[21263])).
% 25.36/17.10 tff(21265,plain,
% 25.36/17.10 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))),
% 25.36/17.10 inference(transitivity,[status(thm)],[21264, 21262])).
% 25.36/17.10 tff(21266,plain,
% 25.36/17.10 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2)))),
% 25.36/17.10 inference(quant_inst,[status(thm)],[])).
% 25.36/17.10 tff(21267,plain,
% 25.36/17.10 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132))),
% 25.36/17.10 inference(modus_ponens,[status(thm)],[21266, 21265])).
% 25.36/17.10 tff(21268,plain,
% 25.36/17.10 (v90(constB132, bitIndex2) | (~v100(constB132))),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21267, 1204, 21261])).
% 25.36/17.10 tff(21269,plain,
% 25.36/17.10 (v90(constB132, bitIndex2)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21268, 21243])).
% 25.36/17.10 tff(21270,plain,
% 25.36/17.10 ((~v1(constB133)) <=> (~v1(constB133))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21271,axiom,(~v1(constB133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_133_1_1')).
% 25.36/17.10 tff(21272,plain,
% 25.36/17.10 (~v1(constB133)),
% 25.36/17.10 inference(modus_ponens,[status(thm)],[21271, 21270])).
% 25.36/17.10 tff(21273,plain,
% 25.36/17.10 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21274,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_132_1')).
% 25.36/17.10 tff(21275,plain,
% 25.36/17.10 (nextState(constB132, constB133)),
% 25.36/17.10 inference(modus_ponens,[status(thm)],[21274, 21273])).
% 25.36/17.10 tff(21276,plain,
% 25.36/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21277,plain,
% 25.36/17.10 (((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133)) <=> (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21278,plain,
% 25.36/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133))))),
% 25.36/17.10 inference(monotonicity,[status(thm)],[21277])).
% 25.36/17.10 tff(21279,plain,
% 25.36/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 25.36/17.10 inference(transitivity,[status(thm)],[21278, 21276])).
% 25.36/17.10 tff(21280,plain,
% 25.36/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))),
% 25.36/17.10 inference(quant_inst,[status(thm)],[])).
% 25.36/17.10 tff(21281,plain,
% 25.36/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133))),
% 25.36/17.10 inference(modus_ponens,[status(thm)],[21280, 21279])).
% 25.36/17.10 tff(21282,plain,
% 25.36/17.10 (~v101(constB133)),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21281, 860, 21275, 21272])).
% 25.36/17.10 tff(21283,plain,
% 25.36/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))),
% 25.36/17.10 inference(rewrite,[status(thm)],[])).
% 25.36/17.10 tff(21284,plain,
% 25.36/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))),
% 25.36/17.10 inference(quant_inst,[status(thm)],[])).
% 25.36/17.10 tff(21285,plain,
% 25.36/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133))),
% 25.36/17.10 inference(modus_ponens,[status(thm)],[21284, 21283])).
% 25.36/17.10 tff(21286,plain,
% 25.36/17.10 (v101(constB133) | (~v100(constB133))),
% 25.36/17.10 inference(unit_resolution,[status(thm)],[21285, 877, 21275])).
% 25.36/17.10 tff(21287,plain,
% 25.36/17.11 (~v100(constB133)),
% 25.36/17.11 inference(unit_resolution,[status(thm)],[21286, 21282])).
% 25.36/17.11 tff(21288,plain,
% 25.36/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))),
% 25.36/17.11 inference(rewrite,[status(thm)],[])).
% 25.36/17.11 tff(21289,plain,
% 25.36/17.11 (((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2)) <=> ((~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))),
% 25.36/17.11 inference(rewrite,[status(thm)],[])).
% 25.36/17.11 tff(21290,plain,
% 25.36/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2)))),
% 25.36/17.11 inference(monotonicity,[status(thm)],[21289])).
% 25.36/17.11 tff(21291,plain,
% 25.36/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))),
% 25.36/17.11 inference(transitivity,[status(thm)],[21290, 21288])).
% 25.36/17.11 tff(21292,plain,
% 25.36/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2))),
% 25.36/17.11 inference(quant_inst,[status(thm)],[])).
% 25.36/17.11 tff(21293,plain,
% 25.36/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2)),
% 25.36/17.11 inference(modus_ponens,[status(thm)],[21292, 21291])).
% 25.36/17.11 tff(21294,plain,
% 25.36/17.11 ((~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2)),
% 25.36/17.11 inference(unit_resolution,[status(thm)],[21293, 1240, 21275])).
% 25.36/17.11 tff(21295,plain,
% 25.36/17.11 ((~v90(constB132, bitIndex2)) | v90(constB133, bitIndex2)),
% 25.36/17.11 inference(unit_resolution,[status(thm)],[21294, 21287])).
% 25.36/17.11 tff(21296,plain,
% 25.36/17.11 (v90(constB133, bitIndex2)),
% 25.36/17.11 inference(unit_resolution,[status(thm)],[21295, 21269])).
% 25.36/17.11 tff(21297,plain,
% 25.36/17.11 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB131)) | (~v130(constB131, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB131)) | (~v130(constB131, bitIndex1)))),
% 25.36/17.11 inference(rewrite,[status(thm)],[])).
% 25.36/17.11 tff(21298,plain,
% 25.36/17.11 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB131)) | (~v130(constB131, bitIndex1)))),
% 25.36/17.11 inference(quant_inst,[status(thm)],[])).
% 25.36/17.11 tff(21299,plain,
% 25.36/17.11 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB131)) | (~v130(constB131, bitIndex1))),
% 25.36/17.11 inference(modus_ponens,[status(thm)],[21298, 21297])).
% 25.36/17.11 tff(21300,plain,
% 25.36/17.11 (~v130(constB131, bitIndex1)),
% 25.36/17.11 inference(unit_resolution,[status(thm)],[21299, 2792, 21152])).
% 25.36/17.11 tff(21301,plain,
% 25.36/17.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB131, bitIndex1)) | v26(constB131) | v130(constB131, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB131, bitIndex1)) | v26(constB131) | v130(constB131, bitIndex1))),
% 25.36/17.11 inference(rewrite,[status(thm)],[])).
% 25.36/17.11 tff(21302,plain,
% 25.36/17.11 ((v26(constB131) | v130(constB131, bitIndex1) | (~v127(constB131, bitIndex1))) <=> ((~v127(constB131, bitIndex1)) | v26(constB131) | v130(constB131, bitIndex1))),
% 25.36/17.11 inference(rewrite,[status(thm)],[])).
% 25.36/17.11 tff(21303,plain,
% 25.36/17.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB131) | v130(constB131, bitIndex1) | (~v127(constB131, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB131, bitIndex1)) | v26(constB131) | v130(constB131, bitIndex1)))),
% 25.36/17.11 inference(monotonicity,[status(thm)],[21302])).
% 25.36/17.11 tff(21304,plain,
% 25.36/17.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB131) | v130(constB131, bitIndex1) | (~v127(constB131, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB131, bitIndex1)) | v26(constB131) | v130(constB131, bitIndex1))),
% 25.36/17.11 inference(transitivity,[status(thm)],[21303, 21301])).
% 25.36/17.11 tff(21305,plain,
% 25.36/17.11 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB131) | v130(constB131, bitIndex1) | (~v127(constB131, bitIndex1)))),
% 25.36/17.11 inference(quant_inst,[status(thm)],[])).
% 25.36/17.11 tff(21306,plain,
% 25.36/17.11 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB131, bitIndex1)) | v26(constB131) | v130(constB131, bitIndex1)),
% 25.36/17.11 inference(modus_ponens,[status(thm)],[21305, 21304])).
% 25.36/17.11 tff(21307,plain,
% 25.36/17.11 ((~v127(constB131, bitIndex1)) | v130(constB131, bitIndex1)),
% 25.36/17.11 inference(unit_resolution,[status(thm)],[21306, 1270, 21251])).
% 25.36/17.11 tff(21308,plain,
% 25.36/17.11 (~v127(constB131, bitIndex1)),
% 25.36/17.11 inference(unit_resolution,[status(thm)],[21307, 21300])).
% 25.36/17.11 tff(21309,plain,
% 25.36/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB131, constB132)) | v127(constB131, bitIndex1) | (~v129(constB132, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB131, constB132)) | v127(constB131, bitIndex1) | (~v129(constB132, bitIndex1)))),
% 25.36/17.11 inference(rewrite,[status(thm)],[])).
% 25.36/17.11 tff(21310,plain,
% 25.36/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB131, constB132)) | v127(constB131, bitIndex1) | (~v129(constB132, bitIndex1)))),
% 25.36/17.11 inference(quant_inst,[status(thm)],[])).
% 25.36/17.11 tff(21311,plain,
% 25.36/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB131, constB132)) | v127(constB131, bitIndex1) | (~v129(constB132, bitIndex1))),
% 25.36/17.11 inference(modus_ponens,[status(thm)],[21310, 21309])).
% 25.36/17.11 tff(21312,plain,
% 25.36/17.11 (v127(constB131, bitIndex1) | (~v129(constB132, bitIndex1))),
% 25.36/17.11 inference(unit_resolution,[status(thm)],[21311, 1288, 21209])).
% 25.36/17.11 tff(21313,plain,
% 25.36/17.11 (~v129(constB132, bitIndex1)),
% 25.36/17.11 inference(unit_resolution,[status(thm)],[21312, 21308])).
% 25.36/17.11 tff(21314,plain,
% 25.36/17.11 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | v129(constB132, bitIndex1) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB132, bitIndex1)) | v129(constB132, bitIndex1) | (~v100(constB132)))),
% 25.36/17.11 inference(rewrite,[status(thm)],[])).
% 25.36/17.11 tff(21315,plain,
% 25.36/17.11 (((~v90(constB132, bitIndex1)) | (~v100(constB132)) | v129(constB132, bitIndex1)) <=> ((~v90(constB132, bitIndex1)) | v129(constB132, bitIndex1) | (~v100(constB132)))),
% 25.36/17.11 inference(rewrite,[status(thm)],[])).
% 25.36/17.11 tff(21316,plain,
% 25.36/17.11 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | (~v100(constB132)) | v129(constB132, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | v129(constB132, bitIndex1) | (~v100(constB132))))),
% 25.36/17.11 inference(monotonicity,[status(thm)],[21315])).
% 25.36/17.11 tff(21317,plain,
% 25.36/17.11 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | (~v100(constB132)) | v129(constB132, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB132, bitIndex1)) | v129(constB132, bitIndex1) | (~v100(constB132)))),
% 25.36/17.11 inference(transitivity,[status(thm)],[21316, 21314])).
% 25.36/17.11 tff(21318,plain,
% 25.36/17.11 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | (~v100(constB132)) | v129(constB132, bitIndex1))),
% 25.36/17.11 inference(quant_inst,[status(thm)],[])).
% 25.36/17.11 tff(21319,plain,
% 25.36/17.11 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB132, bitIndex1)) | v129(constB132, bitIndex1) | (~v100(constB132))),
% 25.36/17.11 inference(modus_ponens,[status(thm)],[21318, 21317])).
% 25.36/17.11 tff(21320,plain,
% 25.36/17.11 ((~v90(constB132, bitIndex1)) | (~v100(constB132))),
% 25.36/17.11 inference(unit_resolution,[status(thm)],[21319, 1303, 21313])).
% 25.36/17.11 tff(21321,plain,
% 25.36/17.11 (~v90(constB132, bitIndex1)),
% 25.36/17.11 inference(unit_resolution,[status(thm)],[21320, 21243])).
% 25.36/17.11 tff(21322,plain,
% 25.36/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex1)))),
% 25.36/17.11 inference(rewrite,[status(thm)],[])).
% 25.36/17.11 tff(21323,plain,
% 25.36/17.11 (((~nextState(constB132, constB133)) | v90(constB132, bitIndex1) | v100(constB133) | (~v90(constB133, bitIndex1))) <=> (v90(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex1)))),
% 25.36/17.11 inference(rewrite,[status(thm)],[])).
% 25.36/17.11 tff(21324,plain,
% 25.36/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex1) | v100(constB133) | (~v90(constB133, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex1))))),
% 25.36/17.11 inference(monotonicity,[status(thm)],[21323])).
% 25.36/17.11 tff(21325,plain,
% 25.36/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex1) | v100(constB133) | (~v90(constB133, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex1)))),
% 25.36/17.11 inference(transitivity,[status(thm)],[21324, 21322])).
% 25.36/17.11 tff(21326,plain,
% 25.36/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex1) | v100(constB133) | (~v90(constB133, bitIndex1)))),
% 25.36/17.11 inference(quant_inst,[status(thm)],[])).
% 25.36/17.11 tff(21327,plain,
% 25.36/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex1))),
% 25.36/17.11 inference(modus_ponens,[status(thm)],[21326, 21325])).
% 25.36/17.11 tff(21328,plain,
% 25.36/17.11 (v90(constB132, bitIndex1) | v100(constB133) | (~v90(constB133, bitIndex1))),
% 25.36/17.11 inference(unit_resolution,[status(thm)],[21327, 913, 21275])).
% 25.36/17.11 tff(21329,plain,
% 25.36/17.11 (v90(constB132, bitIndex1) | (~v90(constB133, bitIndex1))),
% 25.36/17.11 inference(unit_resolution,[status(thm)],[21328, 21287])).
% 25.36/17.11 tff(21330,plain,
% 25.36/17.11 (~v90(constB133, bitIndex1)),
% 25.36/17.11 inference(unit_resolution,[status(thm)],[21329, 21321])).
% 25.36/17.11 tff(21331,plain,
% 25.36/17.11 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB131)) | (~v130(constB131, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB131)) | (~v130(constB131, bitIndex0)))),
% 25.36/17.11 inference(rewrite,[status(thm)],[])).
% 25.36/17.11 tff(21332,plain,
% 25.36/17.11 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB131)) | (~v130(constB131, bitIndex0)))),
% 25.36/17.11 inference(quant_inst,[status(thm)],[])).
% 25.36/17.11 tff(21333,plain,
% 25.36/17.11 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB131)) | (~v130(constB131, bitIndex0))),
% 25.36/17.11 inference(modus_ponens,[status(thm)],[21332, 21331])).
% 25.36/17.11 tff(21334,plain,
% 25.36/17.11 (~v130(constB131, bitIndex0)),
% 25.36/17.11 inference(unit_resolution,[status(thm)],[21333, 2833, 21152])).
% 25.36/17.11 tff(21335,plain,
% 25.36/17.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))),
% 25.36/17.11 inference(rewrite,[status(thm)],[])).
% 25.36/17.11 tff(21336,plain,
% 25.36/17.11 ((v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0))) <=> ((~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))),
% 25.36/17.11 inference(rewrite,[status(thm)],[])).
% 25.36/17.11 tff(21337,plain,
% 25.36/17.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0)))),
% 25.36/17.11 inference(monotonicity,[status(thm)],[21336])).
% 25.36/17.11 tff(21338,plain,
% 25.36/17.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))),
% 25.36/17.11 inference(transitivity,[status(thm)],[21337, 21335])).
% 25.36/17.11 tff(21339,plain,
% 25.36/17.11 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0)))),
% 25.36/17.11 inference(quant_inst,[status(thm)],[])).
% 25.36/17.11 tff(21340,plain,
% 25.36/17.11 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0)),
% 25.36/17.11 inference(modus_ponens,[status(thm)],[21339, 21338])).
% 25.36/17.11 tff(21341,plain,
% 25.36/17.11 ((~v127(constB131, bitIndex0)) | v130(constB131, bitIndex0)),
% 25.36/17.11 inference(unit_resolution,[status(thm)],[21340, 1341, 21251])).
% 25.36/17.11 tff(21342,plain,
% 25.36/17.11 (~v127(constB131, bitIndex0)),
% 25.36/17.11 inference(unit_resolution,[status(thm)],[21341, 21334])).
% 25.36/17.11 tff(21343,plain,
% 25.36/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0)))),
% 25.36/17.11 inference(rewrite,[status(thm)],[])).
% 25.36/17.11 tff(21344,plain,
% 25.36/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0)))),
% 25.36/17.11 inference(quant_inst,[status(thm)],[])).
% 25.36/17.11 tff(21345,plain,
% 25.36/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0))),
% 25.36/17.11 inference(modus_ponens,[status(thm)],[21344, 21343])).
% 25.36/17.11 tff(21346,plain,
% 25.36/17.11 (v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0))),
% 25.36/17.11 inference(unit_resolution,[status(thm)],[21345, 1359, 21209])).
% 25.36/17.11 tff(21347,plain,
% 25.36/17.11 (~v129(constB132, bitIndex0)),
% 25.36/17.11 inference(unit_resolution,[status(thm)],[21346, 21342])).
% 25.36/17.11 tff(21348,plain,
% 25.36/17.11 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))),
% 25.36/17.11 inference(rewrite,[status(thm)],[])).
% 25.36/17.11 tff(21349,plain,
% 25.36/17.11 (((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0)) <=> ((~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))),
% 25.36/17.11 inference(rewrite,[status(thm)],[])).
% 25.36/17.11 tff(21350,plain,
% 25.36/17.11 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132))))),
% 25.36/17.11 inference(monotonicity,[status(thm)],[21349])).
% 25.36/17.11 tff(21351,plain,
% 25.36/17.11 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))),
% 25.36/17.11 inference(transitivity,[status(thm)],[21350, 21348])).
% 25.36/17.11 tff(21352,plain,
% 25.36/17.11 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0))),
% 25.36/17.11 inference(quant_inst,[status(thm)],[])).
% 25.36/17.11 tff(21353,plain,
% 25.36/17.11 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132))),
% 25.36/17.11 inference(modus_ponens,[status(thm)],[21352, 21351])).
% 25.36/17.11 tff(21354,plain,
% 25.36/17.11 ((~v90(constB132, bitIndex0)) | (~v100(constB132))),
% 25.36/17.11 inference(unit_resolution,[status(thm)],[21353, 1374, 21347])).
% 25.40/17.11 tff(21355,plain,
% 25.40/17.11 (~v90(constB132, bitIndex0)),
% 25.40/17.11 inference(unit_resolution,[status(thm)],[21354, 21243])).
% 25.40/17.11 tff(21356,plain,
% 25.40/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 25.40/17.11 inference(rewrite,[status(thm)],[])).
% 25.40/17.11 tff(21357,plain,
% 25.40/17.11 (((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0))) <=> (v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 25.40/17.11 inference(rewrite,[status(thm)],[])).
% 25.40/17.11 tff(21358,plain,
% 25.40/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0))))),
% 25.40/17.11 inference(monotonicity,[status(thm)],[21357])).
% 25.40/17.11 tff(21359,plain,
% 25.40/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 25.40/17.11 inference(transitivity,[status(thm)],[21358, 21356])).
% 25.40/17.11 tff(21360,plain,
% 25.40/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 25.40/17.11 inference(quant_inst,[status(thm)],[])).
% 25.40/17.11 tff(21361,plain,
% 25.40/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0))),
% 25.40/17.11 inference(modus_ponens,[status(thm)],[21360, 21359])).
% 25.40/17.11 tff(21362,plain,
% 25.40/17.11 (v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0))),
% 25.40/17.11 inference(unit_resolution,[status(thm)],[21361, 934, 21275])).
% 25.40/17.11 tff(21363,plain,
% 25.40/17.11 (v90(constB132, bitIndex0) | (~v90(constB133, bitIndex0))),
% 25.40/17.11 inference(unit_resolution,[status(thm)],[21362, 21287])).
% 25.40/17.11 tff(21364,plain,
% 25.40/17.11 (~v90(constB133, bitIndex0)),
% 25.40/17.11 inference(unit_resolution,[status(thm)],[21363, 21355])).
% 25.40/17.11 tff(21365,plain,
% 25.40/17.11 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | v123(constB133))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | v123(constB133))),
% 25.40/17.11 inference(rewrite,[status(thm)],[])).
% 25.40/17.11 tff(21366,plain,
% 25.40/17.11 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | v123(constB133))),
% 25.40/17.11 inference(quant_inst,[status(thm)],[])).
% 25.40/17.11 tff(21367,plain,
% 25.40/17.11 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | v123(constB133)),
% 25.40/17.11 inference(modus_ponens,[status(thm)],[21366, 21365])).
% 25.40/17.11 tff(21368,plain,
% 25.40/17.11 (v123(constB133)),
% 25.40/17.11 inference(unit_resolution,[status(thm)],[21367, 1401, 21364, 21330, 21296])).
% 25.40/17.11 tff(21369,plain,
% 25.40/17.11 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB133) | (~v123(constB133)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB133) | (~v123(constB133)))),
% 25.40/17.11 inference(rewrite,[status(thm)],[])).
% 25.40/17.11 tff(21370,plain,
% 25.40/17.11 (((~v123(constB133)) | v115(constB133)) <=> (v115(constB133) | (~v123(constB133)))),
% 25.40/17.11 inference(rewrite,[status(thm)],[])).
% 25.40/17.11 tff(21371,plain,
% 25.40/17.11 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB133)) | v115(constB133))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB133) | (~v123(constB133))))),
% 25.40/17.11 inference(monotonicity,[status(thm)],[21370])).
% 25.40/17.11 tff(21372,plain,
% 25.40/17.11 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB133)) | v115(constB133))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB133) | (~v123(constB133)))),
% 25.40/17.11 inference(transitivity,[status(thm)],[21371, 21369])).
% 25.40/17.11 tff(21373,plain,
% 25.40/17.11 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB133)) | v115(constB133))),
% 25.40/17.11 inference(quant_inst,[status(thm)],[])).
% 25.40/17.11 tff(21374,plain,
% 25.40/17.11 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB133) | (~v123(constB133))),
% 25.40/17.11 inference(modus_ponens,[status(thm)],[21373, 21372])).
% 25.40/17.11 tff(21375,plain,
% 25.40/17.11 (v115(constB133)),
% 25.40/17.11 inference(unit_resolution,[status(thm)],[21374, 1412, 21368])).
% 25.40/17.11 tff(21376,plain,
% 25.40/17.11 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB133) | (~v115(constB133)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB133) | (~v115(constB133)))),
% 25.40/17.11 inference(rewrite,[status(thm)],[])).
% 25.40/17.11 tff(21377,plain,
% 25.40/17.11 (((~v115(constB133)) | v114(constB133)) <=> (v114(constB133) | (~v115(constB133)))),
% 25.40/17.11 inference(rewrite,[status(thm)],[])).
% 25.40/17.11 tff(21378,plain,
% 25.40/17.11 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB133)) | v114(constB133))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB133) | (~v115(constB133))))),
% 25.40/17.11 inference(monotonicity,[status(thm)],[21377])).
% 25.40/17.11 tff(21379,plain,
% 25.40/17.11 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB133)) | v114(constB133))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB133) | (~v115(constB133)))),
% 25.40/17.11 inference(transitivity,[status(thm)],[21378, 21376])).
% 25.40/17.11 tff(21380,plain,
% 25.40/17.11 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB133)) | v114(constB133))),
% 25.40/17.11 inference(quant_inst,[status(thm)],[])).
% 25.40/17.11 tff(21381,plain,
% 25.40/17.11 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB133) | (~v115(constB133))),
% 25.40/17.11 inference(modus_ponens,[status(thm)],[21380, 21379])).
% 25.40/17.11 tff(21382,plain,
% 25.40/17.11 (v114(constB133)),
% 25.40/17.11 inference(unit_resolution,[status(thm)],[21381, 1022, 21375])).
% 25.40/17.11 tff(21383,plain,
% 25.40/17.11 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB133) | (~v114(constB133)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB133) | (~v114(constB133)))),
% 25.40/17.11 inference(rewrite,[status(thm)],[])).
% 25.40/17.11 tff(21384,plain,
% 25.40/17.11 (((~v114(constB133)) | v113(constB133)) <=> (v113(constB133) | (~v114(constB133)))),
% 25.40/17.11 inference(rewrite,[status(thm)],[])).
% 25.40/17.11 tff(21385,plain,
% 25.40/17.11 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB133)) | v113(constB133))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB133) | (~v114(constB133))))),
% 25.40/17.11 inference(monotonicity,[status(thm)],[21384])).
% 25.40/17.11 tff(21386,plain,
% 25.40/17.11 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB133)) | v113(constB133))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB133) | (~v114(constB133)))),
% 25.40/17.11 inference(transitivity,[status(thm)],[21385, 21383])).
% 25.40/17.11 tff(21387,plain,
% 25.40/17.11 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB133)) | v113(constB133))),
% 25.40/17.11 inference(quant_inst,[status(thm)],[])).
% 25.40/17.11 tff(21388,plain,
% 25.40/17.11 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB133) | (~v114(constB133))),
% 25.40/17.11 inference(modus_ponens,[status(thm)],[21387, 21386])).
% 25.40/17.11 tff(21389,plain,
% 25.40/17.11 (v113(constB133)),
% 25.40/17.11 inference(unit_resolution,[status(thm)],[21388, 1036, 21382])).
% 25.40/17.11 tff(21390,assumption,(v26(constB133)), introduced(assumption)).
% 25.40/17.11 tff(21391,plain,
% 25.40/17.11 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB133))),
% 25.40/17.11 inference(quant_inst,[status(thm)],[])).
% 25.40/17.11 tff(21392,plain,
% 25.40/17.11 ($false),
% 25.40/17.11 inference(unit_resolution,[status(thm)],[21391, 797, 21390])).
% 25.40/17.11 tff(21393,plain,(~v26(constB133)), inference(lemma,lemma(discharge,[]))).
% 25.40/17.11 tff(21394,plain,
% 25.40/17.11 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | v112(constB133) | (~v113(constB133)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | v112(constB133) | (~v113(constB133)))),
% 25.40/17.11 inference(rewrite,[status(thm)],[])).
% 25.40/17.11 tff(21395,plain,
% 25.40/17.11 ((v26(constB133) | (~v113(constB133)) | v112(constB133)) <=> (v26(constB133) | v112(constB133) | (~v113(constB133)))),
% 25.40/17.11 inference(rewrite,[status(thm)],[])).
% 25.40/17.11 tff(21396,plain,
% 25.40/17.11 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | v112(constB133) | (~v113(constB133))))),
% 25.40/17.11 inference(monotonicity,[status(thm)],[21395])).
% 25.40/17.11 tff(21397,plain,
% 25.40/17.11 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | v112(constB133) | (~v113(constB133)))),
% 25.40/17.11 inference(transitivity,[status(thm)],[21396, 21394])).
% 25.40/17.11 tff(21398,plain,
% 25.40/17.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))),
% 25.40/17.11 inference(quant_inst,[status(thm)],[])).
% 25.40/17.11 tff(21399,plain,
% 25.40/17.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | v112(constB133) | (~v113(constB133))),
% 25.40/17.11 inference(modus_ponens,[status(thm)],[21398, 21397])).
% 25.40/17.11 tff(21400,plain,
% 25.40/17.11 (v112(constB133) | (~v113(constB133))),
% 25.40/17.11 inference(unit_resolution,[status(thm)],[21399, 1050, 21393])).
% 25.40/17.11 tff(21401,plain,
% 25.40/17.11 (v112(constB133)),
% 25.40/17.11 inference(unit_resolution,[status(thm)],[21400, 21389])).
% 25.40/17.11 tff(21402,plain,
% 25.40/17.11 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB133) | (~v112(constB133)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB133) | (~v112(constB133)))),
% 25.40/17.11 inference(rewrite,[status(thm)],[])).
% 25.40/17.11 tff(21403,plain,
% 25.40/17.11 (((~v112(constB133)) | v108(constB133)) <=> (v108(constB133) | (~v112(constB133)))),
% 25.40/17.11 inference(rewrite,[status(thm)],[])).
% 25.40/17.11 tff(21404,plain,
% 25.40/17.11 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB133)) | v108(constB133))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB133) | (~v112(constB133))))),
% 25.40/17.11 inference(monotonicity,[status(thm)],[21403])).
% 25.40/17.11 tff(21405,plain,
% 25.40/17.11 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB133)) | v108(constB133))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB133) | (~v112(constB133)))),
% 25.40/17.11 inference(transitivity,[status(thm)],[21404, 21402])).
% 25.40/17.11 tff(21406,plain,
% 25.40/17.11 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB133)) | v108(constB133))),
% 25.40/17.11 inference(quant_inst,[status(thm)],[])).
% 25.40/17.11 tff(21407,plain,
% 25.40/17.11 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB133) | (~v112(constB133))),
% 25.40/17.11 inference(modus_ponens,[status(thm)],[21406, 21405])).
% 25.40/17.11 tff(21408,plain,
% 25.40/17.11 (v108(constB133)),
% 25.40/17.11 inference(unit_resolution,[status(thm)],[21407, 1062, 21401])).
% 25.40/17.11 tff(21409,plain,
% 25.40/17.11 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 25.40/17.11 inference(rewrite,[status(thm)],[])).
% 25.40/17.11 tff(21410,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_133_1')).
% 25.40/17.11 tff(21411,plain,
% 25.40/17.11 (nextState(constB133, constB134)),
% 25.40/17.11 inference(modus_ponens,[status(thm)],[21410, 21409])).
% 25.40/17.11 tff(21412,plain,
% 25.40/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 25.40/17.11 inference(rewrite,[status(thm)],[])).
% 25.40/17.11 tff(21413,plain,
% 25.40/17.11 (((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134)) <=> ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 25.40/17.11 inference(rewrite,[status(thm)],[])).
% 25.40/17.11 tff(21414,plain,
% 25.40/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133))))),
% 25.40/17.11 inference(monotonicity,[status(thm)],[21413])).
% 25.40/17.11 tff(21415,plain,
% 25.40/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 25.40/17.11 inference(transitivity,[status(thm)],[21414, 21412])).
% 25.40/17.11 tff(21416,plain,
% 25.40/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))),
% 25.40/17.11 inference(quant_inst,[status(thm)],[])).
% 25.40/17.11 tff(21417,plain,
% 25.40/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133))),
% 25.40/17.11 inference(modus_ponens,[status(thm)],[21416, 21415])).
% 25.40/17.11 tff(21418,plain,
% 25.40/17.11 (v110(constB134) | (~v108(constB133))),
% 25.40/17.11 inference(unit_resolution,[status(thm)],[21417, 1082, 21411])).
% 25.40/17.11 tff(21419,plain,
% 25.40/17.11 (v110(constB134)),
% 25.40/17.11 inference(unit_resolution,[status(thm)],[21418, 21408])).
% 25.40/17.11 tff(21420,plain,
% 25.40/17.11 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))),
% 25.40/17.11 inference(rewrite,[status(thm)],[])).
% 25.40/17.11 tff(21421,plain,
% 25.40/17.11 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))),
% 25.40/17.11 inference(quant_inst,[status(thm)],[])).
% 25.40/17.12 tff(21422,plain,
% 25.40/17.12 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134))),
% 25.40/17.12 inference(modus_ponens,[status(thm)],[21421, 21420])).
% 25.40/17.12 tff(21423,plain,
% 25.40/17.12 (~v104(constB134)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21422, 1100, 21411, 21272])).
% 25.40/17.12 tff(21424,plain,
% 25.40/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21425,plain,
% 25.40/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))),
% 25.40/17.12 inference(quant_inst,[status(thm)],[])).
% 25.40/17.12 tff(21426,plain,
% 25.40/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v102(constB134) | v104(constB134)),
% 25.40/17.12 inference(modus_ponens,[status(thm)],[21425, 21424])).
% 25.40/17.12 tff(21427,plain,
% 25.40/17.12 (v102(constB134) | v104(constB134)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21426, 1114, 21411])).
% 25.40/17.12 tff(21428,plain,
% 25.40/17.12 (v102(constB134)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21427, 21423])).
% 25.40/17.12 tff(21429,plain,
% 25.40/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21430,plain,
% 25.40/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))),
% 25.40/17.12 inference(quant_inst,[status(thm)],[])).
% 25.40/17.12 tff(21431,plain,
% 25.40/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134))),
% 25.40/17.12 inference(modus_ponens,[status(thm)],[21430, 21429])).
% 25.40/17.12 tff(21432,plain,
% 25.40/17.12 (v101(constB134) | (~v102(constB134))),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21431, 1129, 21411, 559])).
% 25.40/17.12 tff(21433,plain,
% 25.40/17.12 (v101(constB134)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21432, 21428])).
% 25.40/17.12 tff(21434,plain,
% 25.40/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21435,plain,
% 25.40/17.12 (((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134)) <=> ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21436,plain,
% 25.40/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134))))),
% 25.40/17.12 inference(monotonicity,[status(thm)],[21435])).
% 25.40/17.12 tff(21437,plain,
% 25.40/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 25.40/17.12 inference(transitivity,[status(thm)],[21436, 21434])).
% 25.40/17.12 tff(21438,plain,
% 25.40/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))),
% 25.40/17.12 inference(quant_inst,[status(thm)],[])).
% 25.40/17.12 tff(21439,plain,
% 25.40/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 25.40/17.12 inference(modus_ponens,[status(thm)],[21438, 21437])).
% 25.40/17.12 tff(21440,plain,
% 25.40/17.12 (v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21439, 1144, 21411])).
% 25.40/17.12 tff(21441,plain,
% 25.40/17.12 (v100(constB134) | (~v110(constB134))),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21440, 21433])).
% 25.40/17.12 tff(21442,plain,
% 25.40/17.12 (v100(constB134)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21441, 21419])).
% 25.40/17.12 tff(21443,plain,
% 25.40/17.12 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB133)) | v130(constB133, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB133)) | v130(constB133, bitIndex2))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21444,plain,
% 25.40/17.12 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB133)) | v130(constB133, bitIndex2))),
% 25.40/17.12 inference(quant_inst,[status(thm)],[])).
% 25.40/17.12 tff(21445,plain,
% 25.40/17.12 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB133)) | v130(constB133, bitIndex2)),
% 25.40/17.12 inference(modus_ponens,[status(thm)],[21444, 21443])).
% 25.40/17.12 tff(21446,plain,
% 25.40/17.12 (v130(constB133, bitIndex2)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21445, 1483, 21368])).
% 25.40/17.12 tff(21447,plain,
% 25.40/17.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB133) | (~v130(constB133, bitIndex2)) | v127(constB133, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB133) | (~v130(constB133, bitIndex2)) | v127(constB133, bitIndex2))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21448,plain,
% 25.40/17.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB133) | (~v130(constB133, bitIndex2)) | v127(constB133, bitIndex2))),
% 25.40/17.12 inference(quant_inst,[status(thm)],[])).
% 25.40/17.12 tff(21449,plain,
% 25.40/17.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB133) | (~v130(constB133, bitIndex2)) | v127(constB133, bitIndex2)),
% 25.40/17.12 inference(modus_ponens,[status(thm)],[21448, 21447])).
% 25.40/17.12 tff(21450,plain,
% 25.40/17.12 ((~v130(constB133, bitIndex2)) | v127(constB133, bitIndex2)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21449, 1174, 21393])).
% 25.40/17.12 tff(21451,plain,
% 25.40/17.12 (v127(constB133, bitIndex2)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21450, 21446])).
% 25.40/17.12 tff(21452,plain,
% 25.40/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB133, constB134)) | (~v127(constB133, bitIndex2)) | v129(constB134, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB133, constB134)) | (~v127(constB133, bitIndex2)) | v129(constB134, bitIndex2))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21453,plain,
% 25.40/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB133, constB134)) | (~v127(constB133, bitIndex2)) | v129(constB134, bitIndex2))),
% 25.40/17.12 inference(quant_inst,[status(thm)],[])).
% 25.40/17.12 tff(21454,plain,
% 25.40/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB133, constB134)) | (~v127(constB133, bitIndex2)) | v129(constB134, bitIndex2)),
% 25.40/17.12 inference(modus_ponens,[status(thm)],[21453, 21452])).
% 25.40/17.12 tff(21455,plain,
% 25.40/17.12 ((~v127(constB133, bitIndex2)) | v129(constB134, bitIndex2)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21454, 1189, 21411])).
% 25.40/17.12 tff(21456,plain,
% 25.40/17.12 (v129(constB134, bitIndex2)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21455, 21451])).
% 25.40/17.12 tff(21457,plain,
% 25.40/17.12 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~v129(constB134, bitIndex2)) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB134, bitIndex2) | (~v129(constB134, bitIndex2)) | (~v100(constB134)))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21458,plain,
% 25.40/17.12 ((v90(constB134, bitIndex2) | (~v100(constB134)) | (~v129(constB134, bitIndex2))) <=> (v90(constB134, bitIndex2) | (~v129(constB134, bitIndex2)) | (~v100(constB134)))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21459,plain,
% 25.40/17.12 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~v100(constB134)) | (~v129(constB134, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~v129(constB134, bitIndex2)) | (~v100(constB134))))),
% 25.40/17.12 inference(monotonicity,[status(thm)],[21458])).
% 25.40/17.12 tff(21460,plain,
% 25.40/17.12 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~v100(constB134)) | (~v129(constB134, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB134, bitIndex2) | (~v129(constB134, bitIndex2)) | (~v100(constB134)))),
% 25.40/17.12 inference(transitivity,[status(thm)],[21459, 21457])).
% 25.40/17.12 tff(21461,plain,
% 25.40/17.12 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~v100(constB134)) | (~v129(constB134, bitIndex2)))),
% 25.40/17.12 inference(quant_inst,[status(thm)],[])).
% 25.40/17.12 tff(21462,plain,
% 25.40/17.12 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB134, bitIndex2) | (~v129(constB134, bitIndex2)) | (~v100(constB134))),
% 25.40/17.12 inference(modus_ponens,[status(thm)],[21461, 21460])).
% 25.40/17.12 tff(21463,plain,
% 25.40/17.12 (v90(constB134, bitIndex2) | (~v100(constB134))),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21462, 1204, 21456])).
% 25.40/17.12 tff(21464,plain,
% 25.40/17.12 (v90(constB134, bitIndex2)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21463, 21442])).
% 25.40/17.12 tff(21465,plain,
% 25.40/17.12 ((~v1(constB135)) <=> (~v1(constB135))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21466,axiom,(~v1(constB135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_135_1_1')).
% 25.40/17.12 tff(21467,plain,
% 25.40/17.12 (~v1(constB135)),
% 25.40/17.12 inference(modus_ponens,[status(thm)],[21466, 21465])).
% 25.40/17.12 tff(21468,plain,
% 25.40/17.12 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21469,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_134_1')).
% 25.40/17.12 tff(21470,plain,
% 25.40/17.12 (nextState(constB134, constB135)),
% 25.40/17.12 inference(modus_ponens,[status(thm)],[21469, 21468])).
% 25.40/17.12 tff(21471,plain,
% 25.40/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21472,plain,
% 25.40/17.12 (((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135)) <=> (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21473,plain,
% 25.40/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135))))),
% 25.40/17.12 inference(monotonicity,[status(thm)],[21472])).
% 25.40/17.12 tff(21474,plain,
% 25.40/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 25.40/17.12 inference(transitivity,[status(thm)],[21473, 21471])).
% 25.40/17.12 tff(21475,plain,
% 25.40/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))),
% 25.40/17.12 inference(quant_inst,[status(thm)],[])).
% 25.40/17.12 tff(21476,plain,
% 25.40/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135))),
% 25.40/17.12 inference(modus_ponens,[status(thm)],[21475, 21474])).
% 25.40/17.12 tff(21477,plain,
% 25.40/17.12 (~v101(constB135)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21476, 860, 21470, 21467])).
% 25.40/17.12 tff(21478,plain,
% 25.40/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21479,plain,
% 25.40/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))),
% 25.40/17.12 inference(quant_inst,[status(thm)],[])).
% 25.40/17.12 tff(21480,plain,
% 25.40/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135))),
% 25.40/17.12 inference(modus_ponens,[status(thm)],[21479, 21478])).
% 25.40/17.12 tff(21481,plain,
% 25.40/17.12 (v101(constB135) | (~v100(constB135))),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21480, 877, 21470])).
% 25.40/17.12 tff(21482,plain,
% 25.40/17.12 (~v100(constB135)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21481, 21477])).
% 25.40/17.12 tff(21483,plain,
% 25.40/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex2))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21484,plain,
% 25.40/17.12 (((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex2)) | v100(constB135) | v90(constB135, bitIndex2)) <=> ((~v90(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex2))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21485,plain,
% 25.40/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex2)) | v100(constB135) | v90(constB135, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex2)))),
% 25.40/17.12 inference(monotonicity,[status(thm)],[21484])).
% 25.40/17.12 tff(21486,plain,
% 25.40/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex2)) | v100(constB135) | v90(constB135, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex2))),
% 25.40/17.12 inference(transitivity,[status(thm)],[21485, 21483])).
% 25.40/17.12 tff(21487,plain,
% 25.40/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex2)) | v100(constB135) | v90(constB135, bitIndex2))),
% 25.40/17.12 inference(quant_inst,[status(thm)],[])).
% 25.40/17.12 tff(21488,plain,
% 25.40/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex2)),
% 25.40/17.12 inference(modus_ponens,[status(thm)],[21487, 21486])).
% 25.40/17.12 tff(21489,plain,
% 25.40/17.12 ((~v90(constB134, bitIndex2)) | v100(constB135) | v90(constB135, bitIndex2)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21488, 1240, 21470])).
% 25.40/17.12 tff(21490,plain,
% 25.40/17.12 ((~v90(constB134, bitIndex2)) | v90(constB135, bitIndex2)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21489, 21482])).
% 25.40/17.12 tff(21491,plain,
% 25.40/17.12 (v90(constB135, bitIndex2)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21490, 21464])).
% 25.40/17.12 tff(21492,plain,
% 25.40/17.12 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB133)) | v130(constB133, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB133)) | v130(constB133, bitIndex1))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21493,plain,
% 25.40/17.12 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB133)) | v130(constB133, bitIndex1))),
% 25.40/17.12 inference(quant_inst,[status(thm)],[])).
% 25.40/17.12 tff(21494,plain,
% 25.40/17.12 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB133)) | v130(constB133, bitIndex1)),
% 25.40/17.12 inference(modus_ponens,[status(thm)],[21493, 21492])).
% 25.40/17.12 tff(21495,plain,
% 25.40/17.12 (v130(constB133, bitIndex1)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21494, 1539, 21368])).
% 25.40/17.12 tff(21496,plain,
% 25.40/17.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB133) | (~v130(constB133, bitIndex1)) | v127(constB133, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB133) | (~v130(constB133, bitIndex1)) | v127(constB133, bitIndex1))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21497,plain,
% 25.40/17.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB133) | (~v130(constB133, bitIndex1)) | v127(constB133, bitIndex1))),
% 25.40/17.12 inference(quant_inst,[status(thm)],[])).
% 25.40/17.12 tff(21498,plain,
% 25.40/17.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB133) | (~v130(constB133, bitIndex1)) | v127(constB133, bitIndex1)),
% 25.40/17.12 inference(modus_ponens,[status(thm)],[21497, 21496])).
% 25.40/17.12 tff(21499,plain,
% 25.40/17.12 ((~v130(constB133, bitIndex1)) | v127(constB133, bitIndex1)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21498, 1553, 21393])).
% 25.40/17.12 tff(21500,plain,
% 25.40/17.12 (v127(constB133, bitIndex1)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21499, 21495])).
% 25.40/17.12 tff(21501,plain,
% 25.40/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB133, constB134)) | (~v127(constB133, bitIndex1)) | v129(constB134, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB133, constB134)) | (~v127(constB133, bitIndex1)) | v129(constB134, bitIndex1))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21502,plain,
% 25.40/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB133, constB134)) | (~v127(constB133, bitIndex1)) | v129(constB134, bitIndex1))),
% 25.40/17.12 inference(quant_inst,[status(thm)],[])).
% 25.40/17.12 tff(21503,plain,
% 25.40/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB133, constB134)) | (~v127(constB133, bitIndex1)) | v129(constB134, bitIndex1)),
% 25.40/17.12 inference(modus_ponens,[status(thm)],[21502, 21501])).
% 25.40/17.12 tff(21504,plain,
% 25.40/17.12 ((~v127(constB133, bitIndex1)) | v129(constB134, bitIndex1)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21503, 1568, 21411])).
% 25.40/17.12 tff(21505,plain,
% 25.40/17.12 (v129(constB134, bitIndex1)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21504, 21500])).
% 25.40/17.12 tff(21506,plain,
% 25.40/17.12 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~v129(constB134, bitIndex1)) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB134, bitIndex1) | (~v129(constB134, bitIndex1)) | (~v100(constB134)))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21507,plain,
% 25.40/17.12 ((v90(constB134, bitIndex1) | (~v100(constB134)) | (~v129(constB134, bitIndex1))) <=> (v90(constB134, bitIndex1) | (~v129(constB134, bitIndex1)) | (~v100(constB134)))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21508,plain,
% 25.40/17.12 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~v100(constB134)) | (~v129(constB134, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~v129(constB134, bitIndex1)) | (~v100(constB134))))),
% 25.40/17.12 inference(monotonicity,[status(thm)],[21507])).
% 25.40/17.12 tff(21509,plain,
% 25.40/17.12 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~v100(constB134)) | (~v129(constB134, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB134, bitIndex1) | (~v129(constB134, bitIndex1)) | (~v100(constB134)))),
% 25.40/17.12 inference(transitivity,[status(thm)],[21508, 21506])).
% 25.40/17.12 tff(21510,plain,
% 25.40/17.12 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~v100(constB134)) | (~v129(constB134, bitIndex1)))),
% 25.40/17.12 inference(quant_inst,[status(thm)],[])).
% 25.40/17.12 tff(21511,plain,
% 25.40/17.12 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB134, bitIndex1) | (~v129(constB134, bitIndex1)) | (~v100(constB134))),
% 25.40/17.12 inference(modus_ponens,[status(thm)],[21510, 21509])).
% 25.40/17.12 tff(21512,plain,
% 25.40/17.12 (v90(constB134, bitIndex1) | (~v100(constB134))),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21511, 1583, 21505])).
% 25.40/17.12 tff(21513,plain,
% 25.40/17.12 (v90(constB134, bitIndex1)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21512, 21442])).
% 25.40/17.12 tff(21514,plain,
% 25.40/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex1))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21515,plain,
% 25.40/17.12 (((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex1)) | v100(constB135) | v90(constB135, bitIndex1)) <=> ((~v90(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex1))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21516,plain,
% 25.40/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex1)) | v100(constB135) | v90(constB135, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex1)))),
% 25.40/17.12 inference(monotonicity,[status(thm)],[21515])).
% 25.40/17.12 tff(21517,plain,
% 25.40/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex1)) | v100(constB135) | v90(constB135, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex1))),
% 25.40/17.12 inference(transitivity,[status(thm)],[21516, 21514])).
% 25.40/17.12 tff(21518,plain,
% 25.40/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex1)) | v100(constB135) | v90(constB135, bitIndex1))),
% 25.40/17.12 inference(quant_inst,[status(thm)],[])).
% 25.40/17.12 tff(21519,plain,
% 25.40/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex1)),
% 25.40/17.12 inference(modus_ponens,[status(thm)],[21518, 21517])).
% 25.40/17.12 tff(21520,plain,
% 25.40/17.12 ((~v90(constB134, bitIndex1)) | v100(constB135) | v90(constB135, bitIndex1)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21519, 1601, 21470])).
% 25.40/17.12 tff(21521,plain,
% 25.40/17.12 ((~v90(constB134, bitIndex1)) | v90(constB135, bitIndex1)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21520, 21482])).
% 25.40/17.12 tff(21522,plain,
% 25.40/17.12 (v90(constB135, bitIndex1)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21521, 21513])).
% 25.40/17.12 tff(21523,plain,
% 25.40/17.12 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB133)) | (~v130(constB133, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB133)) | (~v130(constB133, bitIndex0)))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21524,plain,
% 25.40/17.12 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB133)) | (~v130(constB133, bitIndex0)))),
% 25.40/17.12 inference(quant_inst,[status(thm)],[])).
% 25.40/17.12 tff(21525,plain,
% 25.40/17.12 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB133)) | (~v130(constB133, bitIndex0))),
% 25.40/17.12 inference(modus_ponens,[status(thm)],[21524, 21523])).
% 25.40/17.12 tff(21526,plain,
% 25.40/17.12 (~v130(constB133, bitIndex0)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21525, 1617, 21368])).
% 25.40/17.12 tff(21527,plain,
% 25.40/17.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB133, bitIndex0)) | v26(constB133) | v130(constB133, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB133, bitIndex0)) | v26(constB133) | v130(constB133, bitIndex0))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21528,plain,
% 25.40/17.12 ((v26(constB133) | v130(constB133, bitIndex0) | (~v127(constB133, bitIndex0))) <=> ((~v127(constB133, bitIndex0)) | v26(constB133) | v130(constB133, bitIndex0))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21529,plain,
% 25.40/17.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB133) | v130(constB133, bitIndex0) | (~v127(constB133, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB133, bitIndex0)) | v26(constB133) | v130(constB133, bitIndex0)))),
% 25.40/17.12 inference(monotonicity,[status(thm)],[21528])).
% 25.40/17.12 tff(21530,plain,
% 25.40/17.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB133) | v130(constB133, bitIndex0) | (~v127(constB133, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB133, bitIndex0)) | v26(constB133) | v130(constB133, bitIndex0))),
% 25.40/17.12 inference(transitivity,[status(thm)],[21529, 21527])).
% 25.40/17.12 tff(21531,plain,
% 25.40/17.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB133) | v130(constB133, bitIndex0) | (~v127(constB133, bitIndex0)))),
% 25.40/17.12 inference(quant_inst,[status(thm)],[])).
% 25.40/17.12 tff(21532,plain,
% 25.40/17.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB133, bitIndex0)) | v26(constB133) | v130(constB133, bitIndex0)),
% 25.40/17.12 inference(modus_ponens,[status(thm)],[21531, 21530])).
% 25.40/17.12 tff(21533,plain,
% 25.40/17.12 ((~v127(constB133, bitIndex0)) | v130(constB133, bitIndex0)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21532, 1341, 21393])).
% 25.40/17.12 tff(21534,plain,
% 25.40/17.12 (~v127(constB133, bitIndex0)),
% 25.40/17.12 inference(unit_resolution,[status(thm)],[21533, 21526])).
% 25.40/17.12 tff(21535,plain,
% 25.40/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex0) | (~v129(constB134, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex0) | (~v129(constB134, bitIndex0)))),
% 25.40/17.12 inference(rewrite,[status(thm)],[])).
% 25.40/17.12 tff(21536,plain,
% 25.40/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex0) | (~v129(constB134, bitIndex0)))),
% 25.40/17.12 inference(quant_inst,[status(thm)],[])).
% 25.40/17.12 tff(21537,plain,
% 25.40/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex0) | (~v129(constB134, bitIndex0))),
% 25.40/17.12 inference(modus_ponens,[status(thm)],[21536, 21535])).
% 25.40/17.12 tff(21538,plain,
% 25.40/17.12 (v127(constB133, bitIndex0) | (~v129(constB134, bitIndex0))),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21537, 1359, 21411])).
% 25.40/17.13 tff(21539,plain,
% 25.40/17.13 (~v129(constB134, bitIndex0)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21538, 21534])).
% 25.40/17.13 tff(21540,plain,
% 25.40/17.13 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | v129(constB134, bitIndex0) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | v129(constB134, bitIndex0) | (~v100(constB134)))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21541,plain,
% 25.40/17.13 (((~v90(constB134, bitIndex0)) | (~v100(constB134)) | v129(constB134, bitIndex0)) <=> ((~v90(constB134, bitIndex0)) | v129(constB134, bitIndex0) | (~v100(constB134)))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21542,plain,
% 25.40/17.13 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | (~v100(constB134)) | v129(constB134, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | v129(constB134, bitIndex0) | (~v100(constB134))))),
% 25.40/17.13 inference(monotonicity,[status(thm)],[21541])).
% 25.40/17.13 tff(21543,plain,
% 25.40/17.13 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | (~v100(constB134)) | v129(constB134, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | v129(constB134, bitIndex0) | (~v100(constB134)))),
% 25.40/17.13 inference(transitivity,[status(thm)],[21542, 21540])).
% 25.40/17.13 tff(21544,plain,
% 25.40/17.13 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | (~v100(constB134)) | v129(constB134, bitIndex0))),
% 25.40/17.13 inference(quant_inst,[status(thm)],[])).
% 25.40/17.13 tff(21545,plain,
% 25.40/17.13 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | v129(constB134, bitIndex0) | (~v100(constB134))),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21544, 21543])).
% 25.40/17.13 tff(21546,plain,
% 25.40/17.13 ((~v90(constB134, bitIndex0)) | (~v100(constB134))),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21545, 1374, 21539])).
% 25.40/17.13 tff(21547,plain,
% 25.40/17.13 (~v90(constB134, bitIndex0)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21546, 21442])).
% 25.40/17.13 tff(21548,plain,
% 25.40/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex0)))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21549,plain,
% 25.40/17.13 (((~nextState(constB134, constB135)) | v90(constB134, bitIndex0) | v100(constB135) | (~v90(constB135, bitIndex0))) <=> (v90(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex0)))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21550,plain,
% 25.40/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex0) | v100(constB135) | (~v90(constB135, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex0))))),
% 25.40/17.13 inference(monotonicity,[status(thm)],[21549])).
% 25.40/17.13 tff(21551,plain,
% 25.40/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex0) | v100(constB135) | (~v90(constB135, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex0)))),
% 25.40/17.13 inference(transitivity,[status(thm)],[21550, 21548])).
% 25.40/17.13 tff(21552,plain,
% 25.40/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex0) | v100(constB135) | (~v90(constB135, bitIndex0)))),
% 25.40/17.13 inference(quant_inst,[status(thm)],[])).
% 25.40/17.13 tff(21553,plain,
% 25.40/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex0))),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21552, 21551])).
% 25.40/17.13 tff(21554,plain,
% 25.40/17.13 (v90(constB134, bitIndex0) | v100(constB135) | (~v90(constB135, bitIndex0))),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21553, 934, 21470])).
% 25.40/17.13 tff(21555,plain,
% 25.40/17.13 (v90(constB134, bitIndex0) | (~v90(constB135, bitIndex0))),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21554, 21482])).
% 25.40/17.13 tff(21556,plain,
% 25.40/17.13 (~v90(constB135, bitIndex0)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21555, 21547])).
% 25.40/17.13 tff(21557,plain,
% 25.40/17.13 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)) | v125(constB135))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)) | v125(constB135))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21558,plain,
% 25.40/17.13 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)) | v125(constB135))),
% 25.40/17.13 inference(quant_inst,[status(thm)],[])).
% 25.40/17.13 tff(21559,plain,
% 25.40/17.13 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)) | v125(constB135)),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21558, 21557])).
% 25.40/17.13 tff(21560,plain,
% 25.40/17.13 (v125(constB135)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21559, 1661, 21556, 21522, 21491])).
% 25.40/17.13 tff(21561,plain,
% 25.40/17.13 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB135)) | v113(constB135))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB135)) | v113(constB135))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21562,plain,
% 25.40/17.13 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB135)) | v113(constB135))),
% 25.40/17.13 inference(quant_inst,[status(thm)],[])).
% 25.40/17.13 tff(21563,plain,
% 25.40/17.13 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB135)) | v113(constB135)),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21562, 21561])).
% 25.40/17.13 tff(21564,plain,
% 25.40/17.13 (v113(constB135)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21563, 1672, 21560])).
% 25.40/17.13 tff(21565,assumption,(v26(constB135)), introduced(assumption)).
% 25.40/17.13 tff(21566,plain,
% 25.40/17.13 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB135))),
% 25.40/17.13 inference(quant_inst,[status(thm)],[])).
% 25.40/17.13 tff(21567,plain,
% 25.40/17.13 ($false),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21566, 797, 21565])).
% 25.40/17.13 tff(21568,plain,(~v26(constB135)), inference(lemma,lemma(discharge,[]))).
% 25.40/17.13 tff(21569,plain,
% 25.40/17.13 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | (~v113(constB135)) | v112(constB135))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21570,plain,
% 25.40/17.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))),
% 25.40/17.13 inference(quant_inst,[status(thm)],[])).
% 25.40/17.13 tff(21571,plain,
% 25.40/17.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | (~v113(constB135)) | v112(constB135)),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21570, 21569])).
% 25.40/17.13 tff(21572,plain,
% 25.40/17.13 ((~v113(constB135)) | v112(constB135)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21571, 1050, 21568])).
% 25.40/17.13 tff(21573,plain,
% 25.40/17.13 (v112(constB135)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21572, 21564])).
% 25.40/17.13 tff(21574,plain,
% 25.40/17.13 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB135) | (~v112(constB135)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v112(constB135)))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21575,plain,
% 25.40/17.13 (((~v112(constB135)) | v108(constB135)) <=> (v108(constB135) | (~v112(constB135)))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21576,plain,
% 25.40/17.13 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB135)) | v108(constB135))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB135) | (~v112(constB135))))),
% 25.40/17.13 inference(monotonicity,[status(thm)],[21575])).
% 25.40/17.13 tff(21577,plain,
% 25.40/17.13 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB135)) | v108(constB135))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v112(constB135)))),
% 25.40/17.13 inference(transitivity,[status(thm)],[21576, 21574])).
% 25.40/17.13 tff(21578,plain,
% 25.40/17.13 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB135)) | v108(constB135))),
% 25.40/17.13 inference(quant_inst,[status(thm)],[])).
% 25.40/17.13 tff(21579,plain,
% 25.40/17.13 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v112(constB135))),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21578, 21577])).
% 25.40/17.13 tff(21580,plain,
% 25.40/17.13 (v108(constB135)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21579, 1062, 21573])).
% 25.40/17.13 tff(21581,plain,
% 25.40/17.13 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21582,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_135_1')).
% 25.40/17.13 tff(21583,plain,
% 25.40/17.13 (nextState(constB135, constB136)),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21582, 21581])).
% 25.40/17.13 tff(21584,plain,
% 25.40/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21585,plain,
% 25.40/17.13 (((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136)) <=> ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21586,plain,
% 25.40/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135))))),
% 25.40/17.13 inference(monotonicity,[status(thm)],[21585])).
% 25.40/17.13 tff(21587,plain,
% 25.40/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 25.40/17.13 inference(transitivity,[status(thm)],[21586, 21584])).
% 25.40/17.13 tff(21588,plain,
% 25.40/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))),
% 25.40/17.13 inference(quant_inst,[status(thm)],[])).
% 25.40/17.13 tff(21589,plain,
% 25.40/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135))),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21588, 21587])).
% 25.40/17.13 tff(21590,plain,
% 25.40/17.13 (v110(constB136) | (~v108(constB135))),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21589, 1082, 21583])).
% 25.40/17.13 tff(21591,plain,
% 25.40/17.13 (v110(constB136)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21590, 21580])).
% 25.40/17.13 tff(21592,plain,
% 25.40/17.13 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21593,plain,
% 25.40/17.13 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))),
% 25.40/17.13 inference(quant_inst,[status(thm)],[])).
% 25.40/17.13 tff(21594,plain,
% 25.40/17.13 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136))),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21593, 21592])).
% 25.40/17.13 tff(21595,plain,
% 25.40/17.13 (~v104(constB136)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21594, 1100, 21583, 21467])).
% 25.40/17.13 tff(21596,plain,
% 25.40/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21597,plain,
% 25.40/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))),
% 25.40/17.13 inference(quant_inst,[status(thm)],[])).
% 25.40/17.13 tff(21598,plain,
% 25.40/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v102(constB136) | v104(constB136)),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21597, 21596])).
% 25.40/17.13 tff(21599,plain,
% 25.40/17.13 (v102(constB136) | v104(constB136)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21598, 1114, 21583])).
% 25.40/17.13 tff(21600,plain,
% 25.40/17.13 (v102(constB136)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21599, 21595])).
% 25.40/17.13 tff(21601,plain,
% 25.40/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21602,plain,
% 25.40/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))),
% 25.40/17.13 inference(quant_inst,[status(thm)],[])).
% 25.40/17.13 tff(21603,plain,
% 25.40/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136))),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21602, 21601])).
% 25.40/17.13 tff(21604,plain,
% 25.40/17.13 (v101(constB136) | (~v102(constB136))),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21603, 1129, 21583, 405])).
% 25.40/17.13 tff(21605,plain,
% 25.40/17.13 (v101(constB136)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21604, 21600])).
% 25.40/17.13 tff(21606,plain,
% 25.40/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21607,plain,
% 25.40/17.13 (((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136)) <=> ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21608,plain,
% 25.40/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136))))),
% 25.40/17.13 inference(monotonicity,[status(thm)],[21607])).
% 25.40/17.13 tff(21609,plain,
% 25.40/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 25.40/17.13 inference(transitivity,[status(thm)],[21608, 21606])).
% 25.40/17.13 tff(21610,plain,
% 25.40/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))),
% 25.40/17.13 inference(quant_inst,[status(thm)],[])).
% 25.40/17.13 tff(21611,plain,
% 25.40/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21610, 21609])).
% 25.40/17.13 tff(21612,plain,
% 25.40/17.13 (v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21611, 1144, 21583])).
% 25.40/17.13 tff(21613,plain,
% 25.40/17.13 (v100(constB136) | (~v110(constB136))),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21612, 21605])).
% 25.40/17.13 tff(21614,plain,
% 25.40/17.13 (v100(constB136)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21613, 21591])).
% 25.40/17.13 tff(21615,plain,
% 25.40/17.13 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB135)) | (~v90(constB135, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB135)) | (~v90(constB135, bitIndex1)))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21616,plain,
% 25.40/17.13 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB135)) | (~v90(constB135, bitIndex1)))),
% 25.40/17.13 inference(quant_inst,[status(thm)],[])).
% 25.40/17.13 tff(21617,plain,
% 25.40/17.13 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB135)) | (~v90(constB135, bitIndex1))),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21616, 21615])).
% 25.40/17.13 tff(21618,plain,
% 25.40/17.13 (~v124(constB135)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21617, 1784, 21522])).
% 25.40/17.13 tff(21619,plain,
% 25.40/17.13 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB135)) | (~v90(constB135, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB135)) | (~v90(constB135, bitIndex2)))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21620,plain,
% 25.40/17.13 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB135)) | (~v90(constB135, bitIndex2)))),
% 25.40/17.13 inference(quant_inst,[status(thm)],[])).
% 25.40/17.13 tff(21621,plain,
% 25.40/17.13 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB135)) | (~v90(constB135, bitIndex2))),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21620, 21619])).
% 25.40/17.13 tff(21622,plain,
% 25.40/17.13 (~v122(constB135)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21621, 1740, 21491])).
% 25.40/17.13 tff(21623,plain,
% 25.40/17.13 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB135)) | (~v90(constB135, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB135)) | (~v90(constB135, bitIndex1)))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21624,plain,
% 25.40/17.13 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB135)) | (~v90(constB135, bitIndex1)))),
% 25.40/17.13 inference(quant_inst,[status(thm)],[])).
% 25.40/17.13 tff(21625,plain,
% 25.40/17.13 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB135)) | (~v90(constB135, bitIndex1))),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21624, 21623])).
% 25.40/17.13 tff(21626,plain,
% 25.40/17.13 (~v123(constB135)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21625, 1773, 21522])).
% 25.40/17.13 tff(21627,plain,
% 25.40/17.13 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB135)) | (~v90(constB135, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB135)) | (~v90(constB135, bitIndex2)))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21628,plain,
% 25.40/17.13 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB135)) | (~v90(constB135, bitIndex2)))),
% 25.40/17.13 inference(quant_inst,[status(thm)],[])).
% 25.40/17.13 tff(21629,plain,
% 25.40/17.13 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB135)) | (~v90(constB135, bitIndex2))),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21628, 21627])).
% 25.40/17.13 tff(21630,plain,
% 25.40/17.13 (~v121(constB135)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21629, 1729, 21491])).
% 25.40/17.13 tff(21631,plain,
% 25.40/17.13 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB135)) | (~v90(constB135, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB135)) | (~v90(constB135, bitIndex1)))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21632,plain,
% 25.40/17.13 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB135)) | (~v90(constB135, bitIndex1)))),
% 25.40/17.13 inference(quant_inst,[status(thm)],[])).
% 25.40/17.13 tff(21633,plain,
% 25.40/17.13 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB135)) | (~v90(constB135, bitIndex1))),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21632, 21631])).
% 25.40/17.13 tff(21634,plain,
% 25.40/17.13 (~v119(constB135)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21633, 1751, 21522])).
% 25.40/17.13 tff(21635,plain,
% 25.40/17.13 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB135)) | (~v90(constB135, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB135)) | (~v90(constB135, bitIndex1)))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21636,plain,
% 25.40/17.13 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB135)) | (~v90(constB135, bitIndex1)))),
% 25.40/17.13 inference(quant_inst,[status(thm)],[])).
% 25.40/17.13 tff(21637,plain,
% 25.40/17.13 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB135)) | (~v90(constB135, bitIndex1))),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21636, 21635])).
% 25.40/17.13 tff(21638,plain,
% 25.40/17.13 (~v120(constB135)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21637, 1762, 21522])).
% 25.40/17.13 tff(21639,plain,
% 25.40/17.13 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex2)))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21640,plain,
% 25.40/17.13 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex2)))),
% 25.40/17.13 inference(quant_inst,[status(thm)],[])).
% 25.40/17.13 tff(21641,plain,
% 25.40/17.13 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex2))),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21640, 21639])).
% 25.40/17.13 tff(21642,plain,
% 25.40/17.13 (~v130(constB135, bitIndex2)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21641, 1798, 21638, 21634, 21630, 21626, 21622, 21618])).
% 25.40/17.13 tff(21643,plain,
% 25.40/17.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21644,plain,
% 25.40/17.13 ((v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2))) <=> ((~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21645,plain,
% 25.40/17.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2)))),
% 25.40/17.13 inference(monotonicity,[status(thm)],[21644])).
% 25.40/17.13 tff(21646,plain,
% 25.40/17.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))),
% 25.40/17.13 inference(transitivity,[status(thm)],[21645, 21643])).
% 25.40/17.13 tff(21647,plain,
% 25.40/17.13 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2)))),
% 25.40/17.13 inference(quant_inst,[status(thm)],[])).
% 25.40/17.13 tff(21648,plain,
% 25.40/17.13 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2)),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21647, 21646])).
% 25.40/17.13 tff(21649,plain,
% 25.40/17.13 ((~v127(constB135, bitIndex2)) | v130(constB135, bitIndex2)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21648, 1812, 21568])).
% 25.40/17.13 tff(21650,plain,
% 25.40/17.13 (~v127(constB135, bitIndex2)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21649, 21642])).
% 25.40/17.13 tff(21651,plain,
% 25.40/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2)))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21652,plain,
% 25.40/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2)))),
% 25.40/17.13 inference(quant_inst,[status(thm)],[])).
% 25.40/17.13 tff(21653,plain,
% 25.40/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2))),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21652, 21651])).
% 25.40/17.13 tff(21654,plain,
% 25.40/17.13 (v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2))),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21653, 1830, 21583])).
% 25.40/17.13 tff(21655,plain,
% 25.40/17.13 (~v129(constB136, bitIndex2)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21654, 21650])).
% 25.40/17.13 tff(21656,plain,
% 25.40/17.13 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21657,plain,
% 25.40/17.13 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))),
% 25.40/17.13 inference(quant_inst,[status(thm)],[])).
% 25.40/17.13 tff(21658,plain,
% 25.40/17.13 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136))),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21657, 21656])).
% 25.40/17.13 tff(21659,plain,
% 25.40/17.13 ((~v90(constB136, bitIndex2)) | (~v100(constB136))),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21658, 1845, 21655])).
% 25.40/17.13 tff(21660,plain,
% 25.40/17.13 (~v90(constB136, bitIndex2)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21659, 21614])).
% 25.40/17.13 tff(21661,plain,
% 25.40/17.13 ((~v1(constB137)) <=> (~v1(constB137))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21662,axiom,(~v1(constB137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_137_1_1')).
% 25.40/17.13 tff(21663,plain,
% 25.40/17.13 (~v1(constB137)),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21662, 21661])).
% 25.40/17.13 tff(21664,plain,
% 25.40/17.13 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21665,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_136_1')).
% 25.40/17.13 tff(21666,plain,
% 25.40/17.13 (nextState(constB136, constB137)),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21665, 21664])).
% 25.40/17.13 tff(21667,plain,
% 25.40/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21668,plain,
% 25.40/17.13 (((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137)) <=> (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21669,plain,
% 25.40/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137))))),
% 25.40/17.13 inference(monotonicity,[status(thm)],[21668])).
% 25.40/17.13 tff(21670,plain,
% 25.40/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 25.40/17.13 inference(transitivity,[status(thm)],[21669, 21667])).
% 25.40/17.13 tff(21671,plain,
% 25.40/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))),
% 25.40/17.13 inference(quant_inst,[status(thm)],[])).
% 25.40/17.13 tff(21672,plain,
% 25.40/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137))),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21671, 21670])).
% 25.40/17.13 tff(21673,plain,
% 25.40/17.13 (~v101(constB137)),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21672, 860, 21666, 21663])).
% 25.40/17.13 tff(21674,plain,
% 25.40/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))),
% 25.40/17.13 inference(rewrite,[status(thm)],[])).
% 25.40/17.13 tff(21675,plain,
% 25.40/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))),
% 25.40/17.13 inference(quant_inst,[status(thm)],[])).
% 25.40/17.13 tff(21676,plain,
% 25.40/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137))),
% 25.40/17.13 inference(modus_ponens,[status(thm)],[21675, 21674])).
% 25.40/17.13 tff(21677,plain,
% 25.40/17.13 (v101(constB137) | (~v100(constB137))),
% 25.40/17.13 inference(unit_resolution,[status(thm)],[21676, 877, 21666])).
% 25.40/17.14 tff(21678,plain,
% 25.40/17.14 (~v100(constB137)),
% 25.40/17.14 inference(unit_resolution,[status(thm)],[21677, 21673])).
% 25.40/17.14 tff(21679,plain,
% 25.40/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 25.40/17.14 inference(rewrite,[status(thm)],[])).
% 25.40/17.14 tff(21680,plain,
% 25.40/17.14 (((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2))) <=> (v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 25.40/17.14 inference(rewrite,[status(thm)],[])).
% 25.40/17.14 tff(21681,plain,
% 25.40/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2))))),
% 25.40/17.14 inference(monotonicity,[status(thm)],[21680])).
% 25.40/17.14 tff(21682,plain,
% 25.40/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 25.40/17.14 inference(transitivity,[status(thm)],[21681, 21679])).
% 25.40/17.14 tff(21683,plain,
% 25.40/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 25.40/17.14 inference(quant_inst,[status(thm)],[])).
% 25.40/17.14 tff(21684,plain,
% 25.40/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2))),
% 25.40/17.14 inference(modus_ponens,[status(thm)],[21683, 21682])).
% 25.40/17.14 tff(21685,plain,
% 25.40/17.14 (v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2))),
% 25.40/17.14 inference(unit_resolution,[status(thm)],[21684, 892, 21666])).
% 25.40/17.14 tff(21686,plain,
% 25.40/17.14 (v90(constB136, bitIndex2) | (~v90(constB137, bitIndex2))),
% 25.40/17.14 inference(unit_resolution,[status(thm)],[21685, 21678])).
% 25.40/17.14 tff(21687,plain,
% 25.40/17.14 (~v90(constB137, bitIndex2)),
% 25.40/17.14 inference(unit_resolution,[status(thm)],[21686, 21660])).
% 25.40/17.14 tff(21688,plain,
% 25.40/17.14 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex1)))),
% 25.40/17.14 inference(rewrite,[status(thm)],[])).
% 25.40/17.14 tff(21689,plain,
% 25.40/17.14 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex1)))),
% 25.40/17.14 inference(quant_inst,[status(thm)],[])).
% 25.40/17.14 tff(21690,plain,
% 25.40/17.14 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex1))),
% 25.40/17.14 inference(modus_ponens,[status(thm)],[21689, 21688])).
% 25.40/17.14 tff(21691,plain,
% 25.40/17.14 (~v130(constB135, bitIndex1)),
% 25.40/17.14 inference(unit_resolution,[status(thm)],[21690, 1887, 21638, 21634, 21630, 21626, 21622, 21618])).
% 25.40/17.14 tff(21692,plain,
% 25.40/17.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1))),
% 25.40/17.14 inference(rewrite,[status(thm)],[])).
% 25.40/17.14 tff(21693,plain,
% 25.40/17.14 ((v26(constB135) | v130(constB135, bitIndex1) | (~v127(constB135, bitIndex1))) <=> ((~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1))),
% 25.40/17.14 inference(rewrite,[status(thm)],[])).
% 25.40/17.14 tff(21694,plain,
% 25.40/17.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB135) | v130(constB135, bitIndex1) | (~v127(constB135, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1)))),
% 25.40/17.14 inference(monotonicity,[status(thm)],[21693])).
% 25.40/17.14 tff(21695,plain,
% 25.40/17.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB135) | v130(constB135, bitIndex1) | (~v127(constB135, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1))),
% 25.40/17.14 inference(transitivity,[status(thm)],[21694, 21692])).
% 25.40/17.14 tff(21696,plain,
% 25.40/17.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB135) | v130(constB135, bitIndex1) | (~v127(constB135, bitIndex1)))),
% 25.40/17.14 inference(quant_inst,[status(thm)],[])).
% 25.40/17.14 tff(21697,plain,
% 25.40/17.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1)),
% 25.40/17.14 inference(modus_ponens,[status(thm)],[21696, 21695])).
% 25.40/17.14 tff(21698,plain,
% 25.40/17.14 ((~v127(constB135, bitIndex1)) | v130(constB135, bitIndex1)),
% 25.40/17.14 inference(unit_resolution,[status(thm)],[21697, 1270, 21568])).
% 25.40/17.14 tff(21699,plain,
% 25.40/17.14 (~v127(constB135, bitIndex1)),
% 25.40/17.14 inference(unit_resolution,[status(thm)],[21698, 21691])).
% 25.40/17.14 tff(21700,plain,
% 25.40/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex1) | (~v129(constB136, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex1) | (~v129(constB136, bitIndex1)))),
% 25.40/17.14 inference(rewrite,[status(thm)],[])).
% 25.40/17.14 tff(21701,plain,
% 25.40/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex1) | (~v129(constB136, bitIndex1)))),
% 25.40/17.14 inference(quant_inst,[status(thm)],[])).
% 25.40/17.14 tff(21702,plain,
% 25.40/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex1) | (~v129(constB136, bitIndex1))),
% 25.40/17.14 inference(modus_ponens,[status(thm)],[21701, 21700])).
% 25.40/17.14 tff(21703,plain,
% 25.40/17.14 (v127(constB135, bitIndex1) | (~v129(constB136, bitIndex1))),
% 25.40/17.14 inference(unit_resolution,[status(thm)],[21702, 1288, 21583])).
% 25.40/17.14 tff(21704,plain,
% 25.40/17.14 (~v129(constB136, bitIndex1)),
% 25.40/17.14 inference(unit_resolution,[status(thm)],[21703, 21699])).
% 25.40/17.14 tff(21705,plain,
% 25.40/17.14 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | v129(constB136, bitIndex1) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | v129(constB136, bitIndex1) | (~v100(constB136)))),
% 25.40/17.14 inference(rewrite,[status(thm)],[])).
% 25.40/17.14 tff(21706,plain,
% 25.40/17.14 (((~v90(constB136, bitIndex1)) | (~v100(constB136)) | v129(constB136, bitIndex1)) <=> ((~v90(constB136, bitIndex1)) | v129(constB136, bitIndex1) | (~v100(constB136)))),
% 25.43/17.14 inference(rewrite,[status(thm)],[])).
% 25.43/17.14 tff(21707,plain,
% 25.43/17.14 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | (~v100(constB136)) | v129(constB136, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | v129(constB136, bitIndex1) | (~v100(constB136))))),
% 25.43/17.14 inference(monotonicity,[status(thm)],[21706])).
% 25.43/17.14 tff(21708,plain,
% 25.43/17.14 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | (~v100(constB136)) | v129(constB136, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | v129(constB136, bitIndex1) | (~v100(constB136)))),
% 25.43/17.14 inference(transitivity,[status(thm)],[21707, 21705])).
% 25.43/17.14 tff(21709,plain,
% 25.43/17.14 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | (~v100(constB136)) | v129(constB136, bitIndex1))),
% 25.43/17.14 inference(quant_inst,[status(thm)],[])).
% 25.43/17.14 tff(21710,plain,
% 25.43/17.14 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | v129(constB136, bitIndex1) | (~v100(constB136))),
% 25.43/17.14 inference(modus_ponens,[status(thm)],[21709, 21708])).
% 25.43/17.14 tff(21711,plain,
% 25.43/17.14 ((~v90(constB136, bitIndex1)) | (~v100(constB136))),
% 25.43/17.14 inference(unit_resolution,[status(thm)],[21710, 1303, 21704])).
% 25.43/17.14 tff(21712,plain,
% 25.43/17.14 (~v90(constB136, bitIndex1)),
% 25.43/17.14 inference(unit_resolution,[status(thm)],[21711, 21614])).
% 25.43/17.14 tff(21713,plain,
% 25.43/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex1)))),
% 25.43/17.14 inference(rewrite,[status(thm)],[])).
% 25.43/17.14 tff(21714,plain,
% 25.43/17.14 (((~nextState(constB136, constB137)) | v90(constB136, bitIndex1) | v100(constB137) | (~v90(constB137, bitIndex1))) <=> (v90(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex1)))),
% 25.43/17.14 inference(rewrite,[status(thm)],[])).
% 25.43/17.14 tff(21715,plain,
% 25.43/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex1) | v100(constB137) | (~v90(constB137, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex1))))),
% 25.43/17.14 inference(monotonicity,[status(thm)],[21714])).
% 25.43/17.14 tff(21716,plain,
% 25.43/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex1) | v100(constB137) | (~v90(constB137, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex1)))),
% 25.43/17.14 inference(transitivity,[status(thm)],[21715, 21713])).
% 25.43/17.14 tff(21717,plain,
% 25.43/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex1) | v100(constB137) | (~v90(constB137, bitIndex1)))),
% 25.43/17.14 inference(quant_inst,[status(thm)],[])).
% 25.43/17.14 tff(21718,plain,
% 25.43/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex1))),
% 25.43/17.14 inference(modus_ponens,[status(thm)],[21717, 21716])).
% 25.43/17.14 tff(21719,plain,
% 25.43/17.14 (v90(constB136, bitIndex1) | v100(constB137) | (~v90(constB137, bitIndex1))),
% 25.43/17.14 inference(unit_resolution,[status(thm)],[21718, 913, 21666])).
% 25.43/17.14 tff(21720,plain,
% 25.43/17.14 (v90(constB136, bitIndex1) | (~v90(constB137, bitIndex1))),
% 25.43/17.14 inference(unit_resolution,[status(thm)],[21719, 21678])).
% 25.43/17.14 tff(21721,plain,
% 25.43/17.14 (~v90(constB137, bitIndex1)),
% 25.43/17.14 inference(unit_resolution,[status(thm)],[21720, 21712])).
% 25.43/17.14 tff(21722,plain,
% 25.43/17.14 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | v130(constB135, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | v130(constB135, bitIndex0))),
% 25.43/17.14 inference(rewrite,[status(thm)],[])).
% 25.43/17.14 tff(21723,plain,
% 25.43/17.14 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | v130(constB135, bitIndex0))),
% 25.43/17.14 inference(quant_inst,[status(thm)],[])).
% 25.43/17.14 tff(21724,plain,
% 25.43/17.14 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | v130(constB135, bitIndex0)),
% 25.43/17.14 inference(modus_ponens,[status(thm)],[21723, 21722])).
% 25.43/17.14 tff(21725,plain,
% 25.43/17.14 (v130(constB135, bitIndex0)),
% 25.43/17.14 inference(unit_resolution,[status(thm)],[21724, 1931, 21638, 21634, 21630, 21626, 21622, 21618])).
% 25.43/17.14 tff(21726,plain,
% 25.43/17.14 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB135) | (~v130(constB135, bitIndex0)) | v127(constB135, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB135) | (~v130(constB135, bitIndex0)) | v127(constB135, bitIndex0))),
% 25.43/17.14 inference(rewrite,[status(thm)],[])).
% 25.43/17.14 tff(21727,plain,
% 25.43/17.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB135) | (~v130(constB135, bitIndex0)) | v127(constB135, bitIndex0))),
% 25.43/17.14 inference(quant_inst,[status(thm)],[])).
% 25.43/17.14 tff(21728,plain,
% 25.43/17.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB135) | (~v130(constB135, bitIndex0)) | v127(constB135, bitIndex0)),
% 25.43/17.14 inference(modus_ponens,[status(thm)],[21727, 21726])).
% 25.43/17.14 tff(21729,plain,
% 25.43/17.14 ((~v130(constB135, bitIndex0)) | v127(constB135, bitIndex0)),
% 25.43/17.14 inference(unit_resolution,[status(thm)],[21728, 1945, 21568])).
% 25.43/17.14 tff(21730,plain,
% 25.43/17.14 (v127(constB135, bitIndex0)),
% 25.43/17.14 inference(unit_resolution,[status(thm)],[21729, 21725])).
% 25.43/17.14 tff(21731,plain,
% 25.43/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB135, constB136)) | (~v127(constB135, bitIndex0)) | v129(constB136, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB135, constB136)) | (~v127(constB135, bitIndex0)) | v129(constB136, bitIndex0))),
% 25.43/17.14 inference(rewrite,[status(thm)],[])).
% 25.43/17.14 tff(21732,plain,
% 25.43/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB135, constB136)) | (~v127(constB135, bitIndex0)) | v129(constB136, bitIndex0))),
% 25.43/17.14 inference(quant_inst,[status(thm)],[])).
% 25.43/17.14 tff(21733,plain,
% 25.43/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB135, constB136)) | (~v127(constB135, bitIndex0)) | v129(constB136, bitIndex0)),
% 25.43/17.14 inference(modus_ponens,[status(thm)],[21732, 21731])).
% 25.43/17.14 tff(21734,plain,
% 25.43/17.14 ((~v127(constB135, bitIndex0)) | v129(constB136, bitIndex0)),
% 25.43/17.14 inference(unit_resolution,[status(thm)],[21733, 1960, 21583])).
% 25.43/17.14 tff(21735,plain,
% 25.43/17.14 (v129(constB136, bitIndex0)),
% 25.43/17.14 inference(unit_resolution,[status(thm)],[21734, 21730])).
% 25.43/17.14 tff(21736,plain,
% 25.43/17.14 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136)))),
% 25.43/17.14 inference(rewrite,[status(thm)],[])).
% 25.43/17.14 tff(21737,plain,
% 25.43/17.14 ((v90(constB136, bitIndex0) | (~v100(constB136)) | (~v129(constB136, bitIndex0))) <=> (v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136)))),
% 25.43/17.14 inference(rewrite,[status(thm)],[])).
% 25.43/17.14 tff(21738,plain,
% 25.43/17.14 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~v100(constB136)) | (~v129(constB136, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136))))),
% 25.43/17.14 inference(monotonicity,[status(thm)],[21737])).
% 25.43/17.14 tff(21739,plain,
% 25.43/17.14 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~v100(constB136)) | (~v129(constB136, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136)))),
% 25.43/17.14 inference(transitivity,[status(thm)],[21738, 21736])).
% 25.43/17.14 tff(21740,plain,
% 25.43/17.14 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~v100(constB136)) | (~v129(constB136, bitIndex0)))),
% 25.43/17.14 inference(quant_inst,[status(thm)],[])).
% 25.43/17.14 tff(21741,plain,
% 25.43/17.14 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136))),
% 25.43/17.14 inference(modus_ponens,[status(thm)],[21740, 21739])).
% 25.43/17.14 tff(21742,plain,
% 25.43/17.14 (v90(constB136, bitIndex0) | (~v100(constB136))),
% 25.43/17.14 inference(unit_resolution,[status(thm)],[21741, 1975, 21735])).
% 25.43/17.14 tff(21743,plain,
% 25.43/17.14 (v90(constB136, bitIndex0)),
% 25.43/17.14 inference(unit_resolution,[status(thm)],[21742, 21614])).
% 25.43/17.14 tff(21744,plain,
% 25.43/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex0))),
% 25.43/17.14 inference(rewrite,[status(thm)],[])).
% 25.43/17.14 tff(21745,plain,
% 25.43/17.14 (((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex0)) | v100(constB137) | v90(constB137, bitIndex0)) <=> ((~v90(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex0))),
% 25.43/17.14 inference(rewrite,[status(thm)],[])).
% 25.43/17.14 tff(21746,plain,
% 25.43/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex0)) | v100(constB137) | v90(constB137, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex0)))),
% 25.43/17.14 inference(monotonicity,[status(thm)],[21745])).
% 25.43/17.14 tff(21747,plain,
% 25.43/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex0)) | v100(constB137) | v90(constB137, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex0))),
% 25.43/17.14 inference(transitivity,[status(thm)],[21746, 21744])).
% 25.43/17.14 tff(21748,plain,
% 25.43/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex0)) | v100(constB137) | v90(constB137, bitIndex0))),
% 25.43/17.14 inference(quant_inst,[status(thm)],[])).
% 25.43/17.14 tff(21749,plain,
% 25.43/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex0)),
% 25.43/17.14 inference(modus_ponens,[status(thm)],[21748, 21747])).
% 25.43/17.14 tff(21750,plain,
% 25.43/17.14 ((~v90(constB136, bitIndex0)) | v100(constB137) | v90(constB137, bitIndex0)),
% 25.43/17.14 inference(unit_resolution,[status(thm)],[21749, 1993, 21666])).
% 25.43/17.14 tff(21751,plain,
% 25.43/17.14 ((~v90(constB136, bitIndex0)) | v90(constB137, bitIndex0)),
% 25.43/17.14 inference(unit_resolution,[status(thm)],[21750, 21678])).
% 25.43/17.14 tff(21752,plain,
% 25.43/17.14 (v90(constB137, bitIndex0)),
% 25.43/17.14 inference(unit_resolution,[status(thm)],[21751, 21743])).
% 25.43/17.14 tff(21753,plain,
% 25.43/17.14 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v120(constB137))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v120(constB137))),
% 25.43/17.14 inference(rewrite,[status(thm)],[])).
% 25.43/17.14 tff(21754,plain,
% 25.43/17.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v120(constB137))),
% 25.43/17.14 inference(quant_inst,[status(thm)],[])).
% 25.43/17.14 tff(21755,plain,
% 25.43/17.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v120(constB137)),
% 25.43/17.14 inference(modus_ponens,[status(thm)],[21754, 21753])).
% 25.43/17.14 tff(21756,plain,
% 25.43/17.14 (v120(constB137)),
% 25.43/17.14 inference(unit_resolution,[status(thm)],[21755, 2012, 21752, 21721, 21687])).
% 25.43/17.14 tff(21757,plain,
% 25.43/17.14 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB137)) | v118(constB137))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB137)) | v118(constB137))),
% 25.43/17.14 inference(rewrite,[status(thm)],[])).
% 25.43/17.14 tff(21758,plain,
% 25.43/17.14 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB137)) | v118(constB137))),
% 25.43/17.14 inference(quant_inst,[status(thm)],[])).
% 25.43/17.14 tff(21759,plain,
% 25.43/17.14 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB137)) | v118(constB137)),
% 25.43/17.14 inference(modus_ponens,[status(thm)],[21758, 21757])).
% 25.43/17.14 tff(21760,plain,
% 25.43/17.14 (v118(constB137)),
% 25.43/17.14 inference(unit_resolution,[status(thm)],[21759, 2210, 21756])).
% 25.43/17.14 tff(21761,plain,
% 25.43/17.14 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB137) | (~v118(constB137)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB137) | (~v118(constB137)))),
% 25.43/17.14 inference(rewrite,[status(thm)],[])).
% 25.43/17.14 tff(21762,plain,
% 25.43/17.14 (((~v118(constB137)) | v117(constB137)) <=> (v117(constB137) | (~v118(constB137)))),
% 25.43/17.14 inference(rewrite,[status(thm)],[])).
% 25.43/17.14 tff(21763,plain,
% 25.43/17.14 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB137)) | v117(constB137))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB137) | (~v118(constB137))))),
% 25.43/17.14 inference(monotonicity,[status(thm)],[21762])).
% 25.43/17.14 tff(21764,plain,
% 25.43/17.14 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB137)) | v117(constB137))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB137) | (~v118(constB137)))),
% 25.43/17.14 inference(transitivity,[status(thm)],[21763, 21761])).
% 25.43/17.14 tff(21765,plain,
% 25.43/17.14 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB137)) | v117(constB137))),
% 25.43/17.14 inference(quant_inst,[status(thm)],[])).
% 25.43/17.14 tff(21766,plain,
% 25.43/17.14 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB137) | (~v118(constB137))),
% 25.43/17.14 inference(modus_ponens,[status(thm)],[21765, 21764])).
% 25.43/17.14 tff(21767,plain,
% 25.43/17.14 (v117(constB137)),
% 25.43/17.14 inference(unit_resolution,[status(thm)],[21766, 980, 21760])).
% 25.43/17.14 tff(21768,plain,
% 25.43/17.14 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB137) | (~v117(constB137)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB137) | (~v117(constB137)))),
% 25.43/17.14 inference(rewrite,[status(thm)],[])).
% 25.43/17.14 tff(21769,plain,
% 25.43/17.14 (((~v117(constB137)) | v116(constB137)) <=> (v116(constB137) | (~v117(constB137)))),
% 25.43/17.14 inference(rewrite,[status(thm)],[])).
% 25.43/17.14 tff(21770,plain,
% 25.43/17.14 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB137)) | v116(constB137))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB137) | (~v117(constB137))))),
% 25.43/17.14 inference(monotonicity,[status(thm)],[21769])).
% 25.43/17.14 tff(21771,plain,
% 25.43/17.14 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB137)) | v116(constB137))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB137) | (~v117(constB137)))),
% 25.43/17.14 inference(transitivity,[status(thm)],[21770, 21768])).
% 25.43/17.14 tff(21772,plain,
% 25.43/17.14 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB137)) | v116(constB137))),
% 25.43/17.14 inference(quant_inst,[status(thm)],[])).
% 25.43/17.14 tff(21773,plain,
% 25.43/17.14 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB137) | (~v117(constB137))),
% 25.43/17.14 inference(modus_ponens,[status(thm)],[21772, 21771])).
% 25.43/17.14 tff(21774,plain,
% 25.43/17.14 (v116(constB137)),
% 25.43/17.14 inference(unit_resolution,[status(thm)],[21773, 994, 21767])).
% 25.43/17.14 tff(21775,plain,
% 25.43/17.14 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB137)) | v115(constB137))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB137)) | v115(constB137))),
% 25.43/17.14 inference(rewrite,[status(thm)],[])).
% 25.43/17.14 tff(21776,plain,
% 25.43/17.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB137)) | v115(constB137))),
% 25.43/17.14 inference(quant_inst,[status(thm)],[])).
% 25.43/17.14 tff(21777,plain,
% 25.43/17.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB137)) | v115(constB137)),
% 25.43/17.14 inference(modus_ponens,[status(thm)],[21776, 21775])).
% 25.43/17.14 tff(21778,plain,
% 25.43/17.14 (v115(constB137)),
% 25.43/17.14 inference(unit_resolution,[status(thm)],[21777, 1008, 21774])).
% 25.43/17.14 tff(21779,plain,
% 25.43/17.14 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB137)) | v114(constB137))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB137)) | v114(constB137))),
% 25.43/17.14 inference(rewrite,[status(thm)],[])).
% 25.43/17.14 tff(21780,plain,
% 25.43/17.14 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB137)) | v114(constB137))),
% 25.43/17.14 inference(quant_inst,[status(thm)],[])).
% 25.43/17.14 tff(21781,plain,
% 25.43/17.14 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB137)) | v114(constB137)),
% 25.43/17.14 inference(modus_ponens,[status(thm)],[21780, 21779])).
% 25.43/17.14 tff(21782,plain,
% 25.43/17.14 (v114(constB137)),
% 25.43/17.14 inference(unit_resolution,[status(thm)],[21781, 1022, 21778])).
% 25.43/17.14 tff(21783,plain,
% 25.43/17.14 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB137) | (~v114(constB137)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB137) | (~v114(constB137)))),
% 25.43/17.14 inference(rewrite,[status(thm)],[])).
% 25.43/17.14 tff(21784,plain,
% 25.43/17.14 (((~v114(constB137)) | v113(constB137)) <=> (v113(constB137) | (~v114(constB137)))),
% 25.43/17.14 inference(rewrite,[status(thm)],[])).
% 25.43/17.14 tff(21785,plain,
% 25.43/17.14 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB137)) | v113(constB137))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB137) | (~v114(constB137))))),
% 25.43/17.14 inference(monotonicity,[status(thm)],[21784])).
% 25.43/17.14 tff(21786,plain,
% 25.43/17.14 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB137)) | v113(constB137))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB137) | (~v114(constB137)))),
% 25.43/17.14 inference(transitivity,[status(thm)],[21785, 21783])).
% 25.43/17.14 tff(21787,plain,
% 25.43/17.14 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB137)) | v113(constB137))),
% 25.43/17.14 inference(quant_inst,[status(thm)],[])).
% 25.43/17.14 tff(21788,plain,
% 25.43/17.14 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB137) | (~v114(constB137))),
% 25.43/17.14 inference(modus_ponens,[status(thm)],[21787, 21786])).
% 25.43/17.14 tff(21789,plain,
% 25.43/17.14 (v113(constB137)),
% 25.43/17.14 inference(unit_resolution,[status(thm)],[21788, 1036, 21782])).
% 25.43/17.14 tff(21790,assumption,(v26(constB137)), introduced(assumption)).
% 25.43/17.14 tff(21791,plain,
% 25.43/17.14 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB137))),
% 25.43/17.14 inference(quant_inst,[status(thm)],[])).
% 25.43/17.14 tff(21792,plain,
% 25.43/17.14 ($false),
% 25.43/17.14 inference(unit_resolution,[status(thm)],[21791, 797, 21790])).
% 25.43/17.14 tff(21793,plain,(~v26(constB137)), inference(lemma,lemma(discharge,[]))).
% 25.43/17.14 tff(21794,plain,
% 25.43/17.14 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | (~v113(constB137)) | v112(constB137))),
% 25.43/17.14 inference(rewrite,[status(thm)],[])).
% 25.43/17.14 tff(21795,plain,
% 25.43/17.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))),
% 25.43/17.14 inference(quant_inst,[status(thm)],[])).
% 25.43/17.14 tff(21796,plain,
% 25.43/17.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | (~v113(constB137)) | v112(constB137)),
% 25.43/17.14 inference(modus_ponens,[status(thm)],[21795, 21794])).
% 25.43/17.14 tff(21797,plain,
% 25.43/17.14 ((~v113(constB137)) | v112(constB137)),
% 25.43/17.14 inference(unit_resolution,[status(thm)],[21796, 1050, 21793])).
% 25.43/17.14 tff(21798,plain,
% 25.43/17.14 (v112(constB137)),
% 25.43/17.14 inference(unit_resolution,[status(thm)],[21797, 21789])).
% 25.43/17.14 tff(21799,plain,
% 25.43/17.14 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB137) | (~v112(constB137)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v112(constB137)))),
% 25.43/17.14 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21800,plain,
% 25.43/17.15 (((~v112(constB137)) | v108(constB137)) <=> (v108(constB137) | (~v112(constB137)))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21801,plain,
% 25.43/17.15 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB137)) | v108(constB137))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB137) | (~v112(constB137))))),
% 25.43/17.15 inference(monotonicity,[status(thm)],[21800])).
% 25.43/17.15 tff(21802,plain,
% 25.43/17.15 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB137)) | v108(constB137))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v112(constB137)))),
% 25.43/17.15 inference(transitivity,[status(thm)],[21801, 21799])).
% 25.43/17.15 tff(21803,plain,
% 25.43/17.15 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB137)) | v108(constB137))),
% 25.43/17.15 inference(quant_inst,[status(thm)],[])).
% 25.43/17.15 tff(21804,plain,
% 25.43/17.15 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v112(constB137))),
% 25.43/17.15 inference(modus_ponens,[status(thm)],[21803, 21802])).
% 25.43/17.15 tff(21805,plain,
% 25.43/17.15 (v108(constB137)),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21804, 1062, 21798])).
% 25.43/17.15 tff(21806,plain,
% 25.43/17.15 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21807,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_137_1')).
% 25.43/17.15 tff(21808,plain,
% 25.43/17.15 (nextState(constB137, constB138)),
% 25.43/17.15 inference(modus_ponens,[status(thm)],[21807, 21806])).
% 25.43/17.15 tff(21809,plain,
% 25.43/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21810,plain,
% 25.43/17.15 (((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138)) <=> ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21811,plain,
% 25.43/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137))))),
% 25.43/17.15 inference(monotonicity,[status(thm)],[21810])).
% 25.43/17.15 tff(21812,plain,
% 25.43/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 25.43/17.15 inference(transitivity,[status(thm)],[21811, 21809])).
% 25.43/17.15 tff(21813,plain,
% 25.43/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))),
% 25.43/17.15 inference(quant_inst,[status(thm)],[])).
% 25.43/17.15 tff(21814,plain,
% 25.43/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137))),
% 25.43/17.15 inference(modus_ponens,[status(thm)],[21813, 21812])).
% 25.43/17.15 tff(21815,plain,
% 25.43/17.15 (v110(constB138) | (~v108(constB137))),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21814, 1082, 21808])).
% 25.43/17.15 tff(21816,plain,
% 25.43/17.15 (v110(constB138)),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21815, 21805])).
% 25.43/17.15 tff(21817,plain,
% 25.43/17.15 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21818,plain,
% 25.43/17.15 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))),
% 25.43/17.15 inference(quant_inst,[status(thm)],[])).
% 25.43/17.15 tff(21819,plain,
% 25.43/17.15 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138))),
% 25.43/17.15 inference(modus_ponens,[status(thm)],[21818, 21817])).
% 25.43/17.15 tff(21820,plain,
% 25.43/17.15 (~v104(constB138)),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21819, 1100, 21808, 21663])).
% 25.43/17.15 tff(21821,plain,
% 25.43/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21822,plain,
% 25.43/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))),
% 25.43/17.15 inference(quant_inst,[status(thm)],[])).
% 25.43/17.15 tff(21823,plain,
% 25.43/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v102(constB138) | v104(constB138)),
% 25.43/17.15 inference(modus_ponens,[status(thm)],[21822, 21821])).
% 25.43/17.15 tff(21824,plain,
% 25.43/17.15 (v102(constB138) | v104(constB138)),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21823, 1114, 21808])).
% 25.43/17.15 tff(21825,plain,
% 25.43/17.15 (v102(constB138)),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21824, 21820])).
% 25.43/17.15 tff(21826,plain,
% 25.43/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21827,plain,
% 25.43/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))),
% 25.43/17.15 inference(quant_inst,[status(thm)],[])).
% 25.43/17.15 tff(21828,plain,
% 25.43/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138))),
% 25.43/17.15 inference(modus_ponens,[status(thm)],[21827, 21826])).
% 25.43/17.15 tff(21829,plain,
% 25.43/17.15 (v101(constB138) | (~v102(constB138))),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21828, 1129, 21808, 713])).
% 25.43/17.15 tff(21830,plain,
% 25.43/17.15 (v101(constB138)),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21829, 21825])).
% 25.43/17.15 tff(21831,plain,
% 25.43/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21832,plain,
% 25.43/17.15 (((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138)) <=> ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21833,plain,
% 25.43/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138))))),
% 25.43/17.15 inference(monotonicity,[status(thm)],[21832])).
% 25.43/17.15 tff(21834,plain,
% 25.43/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 25.43/17.15 inference(transitivity,[status(thm)],[21833, 21831])).
% 25.43/17.15 tff(21835,plain,
% 25.43/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))),
% 25.43/17.15 inference(quant_inst,[status(thm)],[])).
% 25.43/17.15 tff(21836,plain,
% 25.43/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 25.43/17.15 inference(modus_ponens,[status(thm)],[21835, 21834])).
% 25.43/17.15 tff(21837,plain,
% 25.43/17.15 (v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21836, 1144, 21808])).
% 25.43/17.15 tff(21838,plain,
% 25.43/17.15 (v100(constB138) | (~v110(constB138))),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21837, 21830])).
% 25.43/17.15 tff(21839,plain,
% 25.43/17.15 (v100(constB138)),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21838, 21816])).
% 25.43/17.15 tff(21840,plain,
% 25.43/17.15 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB137)) | (~v130(constB137, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB137)) | (~v130(constB137, bitIndex2)))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21841,plain,
% 25.43/17.15 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB137)) | (~v130(constB137, bitIndex2)))),
% 25.43/17.15 inference(quant_inst,[status(thm)],[])).
% 25.43/17.15 tff(21842,plain,
% 25.43/17.15 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB137)) | (~v130(constB137, bitIndex2))),
% 25.43/17.15 inference(modus_ponens,[status(thm)],[21841, 21840])).
% 25.43/17.15 tff(21843,plain,
% 25.43/17.15 (~v130(constB137, bitIndex2)),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21842, 2231, 21756])).
% 25.43/17.15 tff(21844,plain,
% 25.43/17.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21845,plain,
% 25.43/17.15 ((v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2))) <=> ((~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21846,plain,
% 25.43/17.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2)))),
% 25.43/17.15 inference(monotonicity,[status(thm)],[21845])).
% 25.43/17.15 tff(21847,plain,
% 25.43/17.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))),
% 25.43/17.15 inference(transitivity,[status(thm)],[21846, 21844])).
% 25.43/17.15 tff(21848,plain,
% 25.43/17.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2)))),
% 25.43/17.15 inference(quant_inst,[status(thm)],[])).
% 25.43/17.15 tff(21849,plain,
% 25.43/17.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2)),
% 25.43/17.15 inference(modus_ponens,[status(thm)],[21848, 21847])).
% 25.43/17.15 tff(21850,plain,
% 25.43/17.15 ((~v127(constB137, bitIndex2)) | v130(constB137, bitIndex2)),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21849, 1812, 21793])).
% 25.43/17.15 tff(21851,plain,
% 25.43/17.15 (~v127(constB137, bitIndex2)),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21850, 21843])).
% 25.43/17.15 tff(21852,plain,
% 25.43/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2)))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21853,plain,
% 25.43/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2)))),
% 25.43/17.15 inference(quant_inst,[status(thm)],[])).
% 25.43/17.15 tff(21854,plain,
% 25.43/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2))),
% 25.43/17.15 inference(modus_ponens,[status(thm)],[21853, 21852])).
% 25.43/17.15 tff(21855,plain,
% 25.43/17.15 (v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2))),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21854, 1830, 21808])).
% 25.43/17.15 tff(21856,plain,
% 25.43/17.15 (~v129(constB138, bitIndex2)),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21855, 21851])).
% 25.43/17.15 tff(21857,plain,
% 25.43/17.15 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21858,plain,
% 25.43/17.15 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))),
% 25.43/17.15 inference(quant_inst,[status(thm)],[])).
% 25.43/17.15 tff(21859,plain,
% 25.43/17.15 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138))),
% 25.43/17.15 inference(modus_ponens,[status(thm)],[21858, 21857])).
% 25.43/17.15 tff(21860,plain,
% 25.43/17.15 ((~v90(constB138, bitIndex2)) | (~v100(constB138))),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21859, 1845, 21856])).
% 25.43/17.15 tff(21861,plain,
% 25.43/17.15 (~v90(constB138, bitIndex2)),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21860, 21839])).
% 25.43/17.15 tff(21862,plain,
% 25.43/17.15 ((~v1(constB139)) <=> (~v1(constB139))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21863,axiom,(~v1(constB139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_139_1_1')).
% 25.43/17.15 tff(21864,plain,
% 25.43/17.15 (~v1(constB139)),
% 25.43/17.15 inference(modus_ponens,[status(thm)],[21863, 21862])).
% 25.43/17.15 tff(21865,plain,
% 25.43/17.15 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21866,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_138_1')).
% 25.43/17.15 tff(21867,plain,
% 25.43/17.15 (nextState(constB138, constB139)),
% 25.43/17.15 inference(modus_ponens,[status(thm)],[21866, 21865])).
% 25.43/17.15 tff(21868,plain,
% 25.43/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21869,plain,
% 25.43/17.15 (((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139)) <=> (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21870,plain,
% 25.43/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139))))),
% 25.43/17.15 inference(monotonicity,[status(thm)],[21869])).
% 25.43/17.15 tff(21871,plain,
% 25.43/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 25.43/17.15 inference(transitivity,[status(thm)],[21870, 21868])).
% 25.43/17.15 tff(21872,plain,
% 25.43/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))),
% 25.43/17.15 inference(quant_inst,[status(thm)],[])).
% 25.43/17.15 tff(21873,plain,
% 25.43/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139))),
% 25.43/17.15 inference(modus_ponens,[status(thm)],[21872, 21871])).
% 25.43/17.15 tff(21874,plain,
% 25.43/17.15 (~v101(constB139)),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21873, 860, 21867, 21864])).
% 25.43/17.15 tff(21875,plain,
% 25.43/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21876,plain,
% 25.43/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))),
% 25.43/17.15 inference(quant_inst,[status(thm)],[])).
% 25.43/17.15 tff(21877,plain,
% 25.43/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139))),
% 25.43/17.15 inference(modus_ponens,[status(thm)],[21876, 21875])).
% 25.43/17.15 tff(21878,plain,
% 25.43/17.15 (v101(constB139) | (~v100(constB139))),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21877, 877, 21867])).
% 25.43/17.15 tff(21879,plain,
% 25.43/17.15 (~v100(constB139)),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21878, 21874])).
% 25.43/17.15 tff(21880,plain,
% 25.43/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21881,plain,
% 25.43/17.15 (((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2))) <=> (v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21882,plain,
% 25.43/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2))))),
% 25.43/17.15 inference(monotonicity,[status(thm)],[21881])).
% 25.43/17.15 tff(21883,plain,
% 25.43/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 25.43/17.15 inference(transitivity,[status(thm)],[21882, 21880])).
% 25.43/17.15 tff(21884,plain,
% 25.43/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 25.43/17.15 inference(quant_inst,[status(thm)],[])).
% 25.43/17.15 tff(21885,plain,
% 25.43/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2))),
% 25.43/17.15 inference(modus_ponens,[status(thm)],[21884, 21883])).
% 25.43/17.15 tff(21886,plain,
% 25.43/17.15 (v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2))),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21885, 892, 21867])).
% 25.43/17.15 tff(21887,plain,
% 25.43/17.15 (v90(constB138, bitIndex2) | (~v90(constB139, bitIndex2))),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21886, 21879])).
% 25.43/17.15 tff(21888,plain,
% 25.43/17.15 (~v90(constB139, bitIndex2)),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21887, 21861])).
% 25.43/17.15 tff(21889,plain,
% 25.43/17.15 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB137)) | v130(constB137, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB137)) | v130(constB137, bitIndex1))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21890,plain,
% 25.43/17.15 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB137)) | v130(constB137, bitIndex1))),
% 25.43/17.15 inference(quant_inst,[status(thm)],[])).
% 25.43/17.15 tff(21891,plain,
% 25.43/17.15 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB137)) | v130(constB137, bitIndex1)),
% 25.43/17.15 inference(modus_ponens,[status(thm)],[21890, 21889])).
% 25.43/17.15 tff(21892,plain,
% 25.43/17.15 (v130(constB137, bitIndex1)),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21891, 2034, 21756])).
% 25.43/17.15 tff(21893,plain,
% 25.43/17.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21894,plain,
% 25.43/17.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1))),
% 25.43/17.15 inference(quant_inst,[status(thm)],[])).
% 25.43/17.15 tff(21895,plain,
% 25.43/17.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1)),
% 25.43/17.15 inference(modus_ponens,[status(thm)],[21894, 21893])).
% 25.43/17.15 tff(21896,plain,
% 25.43/17.15 ((~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1)),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21895, 1553, 21793])).
% 25.43/17.15 tff(21897,plain,
% 25.43/17.15 (v127(constB137, bitIndex1)),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21896, 21892])).
% 25.43/17.15 tff(21898,plain,
% 25.43/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21899,plain,
% 25.43/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1))),
% 25.43/17.15 inference(quant_inst,[status(thm)],[])).
% 25.43/17.15 tff(21900,plain,
% 25.43/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1)),
% 25.43/17.15 inference(modus_ponens,[status(thm)],[21899, 21898])).
% 25.43/17.15 tff(21901,plain,
% 25.43/17.15 ((~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1)),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21900, 1568, 21808])).
% 25.43/17.15 tff(21902,plain,
% 25.43/17.15 (v129(constB138, bitIndex1)),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21901, 21897])).
% 25.43/17.15 tff(21903,plain,
% 25.43/17.15 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21904,plain,
% 25.43/17.15 ((v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1))) <=> (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21905,plain,
% 25.43/17.15 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138))))),
% 25.43/17.15 inference(monotonicity,[status(thm)],[21904])).
% 25.43/17.15 tff(21906,plain,
% 25.43/17.15 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))),
% 25.43/17.15 inference(transitivity,[status(thm)],[21905, 21903])).
% 25.43/17.15 tff(21907,plain,
% 25.43/17.15 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1)))),
% 25.43/17.15 inference(quant_inst,[status(thm)],[])).
% 25.43/17.15 tff(21908,plain,
% 25.43/17.15 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138))),
% 25.43/17.15 inference(modus_ponens,[status(thm)],[21907, 21906])).
% 25.43/17.15 tff(21909,plain,
% 25.43/17.15 (v90(constB138, bitIndex1) | (~v100(constB138))),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21908, 1583, 21902])).
% 25.43/17.15 tff(21910,plain,
% 25.43/17.15 (v90(constB138, bitIndex1)),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21909, 21839])).
% 25.43/17.15 tff(21911,plain,
% 25.43/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21912,plain,
% 25.43/17.15 (((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1)) <=> ((~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))),
% 25.43/17.15 inference(rewrite,[status(thm)],[])).
% 25.43/17.15 tff(21913,plain,
% 25.43/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1)))),
% 25.43/17.15 inference(monotonicity,[status(thm)],[21912])).
% 25.43/17.15 tff(21914,plain,
% 25.43/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))),
% 25.43/17.15 inference(transitivity,[status(thm)],[21913, 21911])).
% 25.43/17.15 tff(21915,plain,
% 25.43/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1))),
% 25.43/17.15 inference(quant_inst,[status(thm)],[])).
% 25.43/17.15 tff(21916,plain,
% 25.43/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1)),
% 25.43/17.15 inference(modus_ponens,[status(thm)],[21915, 21914])).
% 25.43/17.15 tff(21917,plain,
% 25.43/17.15 ((~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1)),
% 25.43/17.15 inference(unit_resolution,[status(thm)],[21916, 1601, 21867])).
% 25.43/17.16 tff(21918,plain,
% 25.43/17.16 ((~v90(constB138, bitIndex1)) | v90(constB139, bitIndex1)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[21917, 21879])).
% 25.43/17.16 tff(21919,plain,
% 25.43/17.16 (v90(constB139, bitIndex1)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[21918, 21910])).
% 25.43/17.16 tff(21920,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB137)) | (~v130(constB137, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB137)) | (~v130(constB137, bitIndex0)))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(21921,plain,
% 25.43/17.16 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB137)) | (~v130(constB137, bitIndex0)))),
% 25.43/17.16 inference(quant_inst,[status(thm)],[])).
% 25.43/17.16 tff(21922,plain,
% 25.43/17.16 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB137)) | (~v130(constB137, bitIndex0))),
% 25.43/17.16 inference(modus_ponens,[status(thm)],[21921, 21920])).
% 25.43/17.16 tff(21923,plain,
% 25.43/17.16 (~v130(constB137, bitIndex0)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[21922, 2023, 21756])).
% 25.43/17.16 tff(21924,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB137, bitIndex0)) | v26(constB137) | v130(constB137, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB137, bitIndex0)) | v26(constB137) | v130(constB137, bitIndex0))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(21925,plain,
% 25.43/17.16 ((v26(constB137) | v130(constB137, bitIndex0) | (~v127(constB137, bitIndex0))) <=> ((~v127(constB137, bitIndex0)) | v26(constB137) | v130(constB137, bitIndex0))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(21926,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB137) | v130(constB137, bitIndex0) | (~v127(constB137, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB137, bitIndex0)) | v26(constB137) | v130(constB137, bitIndex0)))),
% 25.43/17.16 inference(monotonicity,[status(thm)],[21925])).
% 25.43/17.16 tff(21927,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB137) | v130(constB137, bitIndex0) | (~v127(constB137, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB137, bitIndex0)) | v26(constB137) | v130(constB137, bitIndex0))),
% 25.43/17.16 inference(transitivity,[status(thm)],[21926, 21924])).
% 25.43/17.16 tff(21928,plain,
% 25.43/17.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB137) | v130(constB137, bitIndex0) | (~v127(constB137, bitIndex0)))),
% 25.43/17.16 inference(quant_inst,[status(thm)],[])).
% 25.43/17.16 tff(21929,plain,
% 25.43/17.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB137, bitIndex0)) | v26(constB137) | v130(constB137, bitIndex0)),
% 25.43/17.16 inference(modus_ponens,[status(thm)],[21928, 21927])).
% 25.43/17.16 tff(21930,plain,
% 25.43/17.16 ((~v127(constB137, bitIndex0)) | v130(constB137, bitIndex0)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[21929, 1341, 21793])).
% 25.43/17.16 tff(21931,plain,
% 25.43/17.16 (~v127(constB137, bitIndex0)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[21930, 21923])).
% 25.43/17.16 tff(21932,plain,
% 25.43/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex0) | (~v129(constB138, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex0) | (~v129(constB138, bitIndex0)))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(21933,plain,
% 25.43/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex0) | (~v129(constB138, bitIndex0)))),
% 25.43/17.16 inference(quant_inst,[status(thm)],[])).
% 25.43/17.16 tff(21934,plain,
% 25.43/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex0) | (~v129(constB138, bitIndex0))),
% 25.43/17.16 inference(modus_ponens,[status(thm)],[21933, 21932])).
% 25.43/17.16 tff(21935,plain,
% 25.43/17.16 (v127(constB137, bitIndex0) | (~v129(constB138, bitIndex0))),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[21934, 1359, 21808])).
% 25.43/17.16 tff(21936,plain,
% 25.43/17.16 (~v129(constB138, bitIndex0)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[21935, 21931])).
% 25.43/17.16 tff(21937,plain,
% 25.43/17.16 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138)))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(21938,plain,
% 25.43/17.16 (((~v90(constB138, bitIndex0)) | (~v100(constB138)) | v129(constB138, bitIndex0)) <=> ((~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138)))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(21939,plain,
% 25.43/17.16 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | (~v100(constB138)) | v129(constB138, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138))))),
% 25.43/17.16 inference(monotonicity,[status(thm)],[21938])).
% 25.43/17.16 tff(21940,plain,
% 25.43/17.16 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | (~v100(constB138)) | v129(constB138, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138)))),
% 25.43/17.16 inference(transitivity,[status(thm)],[21939, 21937])).
% 25.43/17.16 tff(21941,plain,
% 25.43/17.16 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | (~v100(constB138)) | v129(constB138, bitIndex0))),
% 25.43/17.16 inference(quant_inst,[status(thm)],[])).
% 25.43/17.16 tff(21942,plain,
% 25.43/17.16 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138))),
% 25.43/17.16 inference(modus_ponens,[status(thm)],[21941, 21940])).
% 25.43/17.16 tff(21943,plain,
% 25.43/17.16 ((~v90(constB138, bitIndex0)) | (~v100(constB138))),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[21942, 1374, 21936])).
% 25.43/17.16 tff(21944,plain,
% 25.43/17.16 (~v90(constB138, bitIndex0)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[21943, 21839])).
% 25.43/17.16 tff(21945,plain,
% 25.43/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex0)))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(21946,plain,
% 25.43/17.16 (((~nextState(constB138, constB139)) | v90(constB138, bitIndex0) | v100(constB139) | (~v90(constB139, bitIndex0))) <=> (v90(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex0)))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(21947,plain,
% 25.43/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex0) | v100(constB139) | (~v90(constB139, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex0))))),
% 25.43/17.16 inference(monotonicity,[status(thm)],[21946])).
% 25.43/17.16 tff(21948,plain,
% 25.43/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex0) | v100(constB139) | (~v90(constB139, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex0)))),
% 25.43/17.16 inference(transitivity,[status(thm)],[21947, 21945])).
% 25.43/17.16 tff(21949,plain,
% 25.43/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex0) | v100(constB139) | (~v90(constB139, bitIndex0)))),
% 25.43/17.16 inference(quant_inst,[status(thm)],[])).
% 25.43/17.16 tff(21950,plain,
% 25.43/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex0))),
% 25.43/17.16 inference(modus_ponens,[status(thm)],[21949, 21948])).
% 25.43/17.16 tff(21951,plain,
% 25.43/17.16 (v90(constB138, bitIndex0) | v100(constB139) | (~v90(constB139, bitIndex0))),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[21950, 934, 21867])).
% 25.43/17.16 tff(21952,plain,
% 25.43/17.16 (v90(constB138, bitIndex0) | (~v90(constB139, bitIndex0))),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[21951, 21879])).
% 25.43/17.16 tff(21953,plain,
% 25.43/17.16 (~v90(constB139, bitIndex0)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[21952, 21944])).
% 25.43/17.16 tff(21954,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v121(constB139))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v121(constB139))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(21955,plain,
% 25.43/17.16 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v121(constB139))),
% 25.43/17.16 inference(quant_inst,[status(thm)],[])).
% 25.43/17.16 tff(21956,plain,
% 25.43/17.16 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v121(constB139)),
% 25.43/17.16 inference(modus_ponens,[status(thm)],[21955, 21954])).
% 25.43/17.16 tff(21957,plain,
% 25.43/17.16 (v121(constB139)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[21956, 2145, 21953, 21919, 21888])).
% 25.43/17.16 tff(21958,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB139) | (~v121(constB139)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB139) | (~v121(constB139)))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(21959,plain,
% 25.43/17.16 (((~v121(constB139)) | v117(constB139)) <=> (v117(constB139) | (~v121(constB139)))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(21960,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB139)) | v117(constB139))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB139) | (~v121(constB139))))),
% 25.43/17.16 inference(monotonicity,[status(thm)],[21959])).
% 25.43/17.16 tff(21961,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB139)) | v117(constB139))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB139) | (~v121(constB139)))),
% 25.43/17.16 inference(transitivity,[status(thm)],[21960, 21958])).
% 25.43/17.16 tff(21962,plain,
% 25.43/17.16 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB139)) | v117(constB139))),
% 25.43/17.16 inference(quant_inst,[status(thm)],[])).
% 25.43/17.16 tff(21963,plain,
% 25.43/17.16 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB139) | (~v121(constB139))),
% 25.43/17.16 inference(modus_ponens,[status(thm)],[21962, 21961])).
% 25.43/17.16 tff(21964,plain,
% 25.43/17.16 (v117(constB139)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[21963, 2102, 21957])).
% 25.43/17.16 tff(21965,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB139) | (~v117(constB139)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB139) | (~v117(constB139)))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(21966,plain,
% 25.43/17.16 (((~v117(constB139)) | v116(constB139)) <=> (v116(constB139) | (~v117(constB139)))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(21967,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB139)) | v116(constB139))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB139) | (~v117(constB139))))),
% 25.43/17.16 inference(monotonicity,[status(thm)],[21966])).
% 25.43/17.16 tff(21968,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB139)) | v116(constB139))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB139) | (~v117(constB139)))),
% 25.43/17.16 inference(transitivity,[status(thm)],[21967, 21965])).
% 25.43/17.16 tff(21969,plain,
% 25.43/17.16 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB139)) | v116(constB139))),
% 25.43/17.16 inference(quant_inst,[status(thm)],[])).
% 25.43/17.16 tff(21970,plain,
% 25.43/17.16 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB139) | (~v117(constB139))),
% 25.43/17.16 inference(modus_ponens,[status(thm)],[21969, 21968])).
% 25.43/17.16 tff(21971,plain,
% 25.43/17.16 (v116(constB139)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[21970, 994, 21964])).
% 25.43/17.16 tff(21972,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB139)) | v115(constB139))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB139)) | v115(constB139))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(21973,plain,
% 25.43/17.16 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB139)) | v115(constB139))),
% 25.43/17.16 inference(quant_inst,[status(thm)],[])).
% 25.43/17.16 tff(21974,plain,
% 25.43/17.16 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB139)) | v115(constB139)),
% 25.43/17.16 inference(modus_ponens,[status(thm)],[21973, 21972])).
% 25.43/17.16 tff(21975,plain,
% 25.43/17.16 (v115(constB139)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[21974, 1008, 21971])).
% 25.43/17.16 tff(21976,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB139) | (~v115(constB139)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB139) | (~v115(constB139)))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(21977,plain,
% 25.43/17.16 (((~v115(constB139)) | v114(constB139)) <=> (v114(constB139) | (~v115(constB139)))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(21978,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB139)) | v114(constB139))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB139) | (~v115(constB139))))),
% 25.43/17.16 inference(monotonicity,[status(thm)],[21977])).
% 25.43/17.16 tff(21979,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB139)) | v114(constB139))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB139) | (~v115(constB139)))),
% 25.43/17.16 inference(transitivity,[status(thm)],[21978, 21976])).
% 25.43/17.16 tff(21980,plain,
% 25.43/17.16 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB139)) | v114(constB139))),
% 25.43/17.16 inference(quant_inst,[status(thm)],[])).
% 25.43/17.16 tff(21981,plain,
% 25.43/17.16 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB139) | (~v115(constB139))),
% 25.43/17.16 inference(modus_ponens,[status(thm)],[21980, 21979])).
% 25.43/17.16 tff(21982,plain,
% 25.43/17.16 (v114(constB139)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[21981, 1022, 21975])).
% 25.43/17.16 tff(21983,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB139)) | v113(constB139))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB139)) | v113(constB139))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(21984,plain,
% 25.43/17.16 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB139)) | v113(constB139))),
% 25.43/17.16 inference(quant_inst,[status(thm)],[])).
% 25.43/17.16 tff(21985,plain,
% 25.43/17.16 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB139)) | v113(constB139)),
% 25.43/17.16 inference(modus_ponens,[status(thm)],[21984, 21983])).
% 25.43/17.16 tff(21986,plain,
% 25.43/17.16 (v113(constB139)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[21985, 1036, 21982])).
% 25.43/17.16 tff(21987,assumption,(v26(constB139)), introduced(assumption)).
% 25.43/17.16 tff(21988,plain,
% 25.43/17.16 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB139))),
% 25.43/17.16 inference(quant_inst,[status(thm)],[])).
% 25.43/17.16 tff(21989,plain,
% 25.43/17.16 ($false),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[21988, 797, 21987])).
% 25.43/17.16 tff(21990,plain,(~v26(constB139)), inference(lemma,lemma(discharge,[]))).
% 25.43/17.16 tff(21991,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | v112(constB139) | (~v113(constB139)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(21992,plain,
% 25.43/17.16 ((v26(constB139) | (~v113(constB139)) | v112(constB139)) <=> (v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(21993,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | v112(constB139) | (~v113(constB139))))),
% 25.43/17.16 inference(monotonicity,[status(thm)],[21992])).
% 25.43/17.16 tff(21994,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 25.43/17.16 inference(transitivity,[status(thm)],[21993, 21991])).
% 25.43/17.16 tff(21995,plain,
% 25.43/17.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))),
% 25.43/17.16 inference(quant_inst,[status(thm)],[])).
% 25.43/17.16 tff(21996,plain,
% 25.43/17.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139))),
% 25.43/17.16 inference(modus_ponens,[status(thm)],[21995, 21994])).
% 25.43/17.16 tff(21997,plain,
% 25.43/17.16 (v112(constB139) | (~v113(constB139))),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[21996, 1050, 21990])).
% 25.43/17.16 tff(21998,plain,
% 25.43/17.16 (v112(constB139)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[21997, 21986])).
% 25.43/17.16 tff(21999,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB139) | (~v112(constB139)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v112(constB139)))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(22000,plain,
% 25.43/17.16 (((~v112(constB139)) | v108(constB139)) <=> (v108(constB139) | (~v112(constB139)))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(22001,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB139)) | v108(constB139))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB139) | (~v112(constB139))))),
% 25.43/17.16 inference(monotonicity,[status(thm)],[22000])).
% 25.43/17.16 tff(22002,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB139)) | v108(constB139))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v112(constB139)))),
% 25.43/17.16 inference(transitivity,[status(thm)],[22001, 21999])).
% 25.43/17.16 tff(22003,plain,
% 25.43/17.16 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB139)) | v108(constB139))),
% 25.43/17.16 inference(quant_inst,[status(thm)],[])).
% 25.43/17.16 tff(22004,plain,
% 25.43/17.16 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v112(constB139))),
% 25.43/17.16 inference(modus_ponens,[status(thm)],[22003, 22002])).
% 25.43/17.16 tff(22005,plain,
% 25.43/17.16 (v108(constB139)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[22004, 1062, 21998])).
% 25.43/17.16 tff(22006,plain,
% 25.43/17.16 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(22007,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_139_1')).
% 25.43/17.16 tff(22008,plain,
% 25.43/17.16 (nextState(constB139, constB140)),
% 25.43/17.16 inference(modus_ponens,[status(thm)],[22007, 22006])).
% 25.43/17.16 tff(22009,plain,
% 25.43/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(22010,plain,
% 25.43/17.16 (((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140)) <=> ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(22011,plain,
% 25.43/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139))))),
% 25.43/17.16 inference(monotonicity,[status(thm)],[22010])).
% 25.43/17.16 tff(22012,plain,
% 25.43/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 25.43/17.16 inference(transitivity,[status(thm)],[22011, 22009])).
% 25.43/17.16 tff(22013,plain,
% 25.43/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))),
% 25.43/17.16 inference(quant_inst,[status(thm)],[])).
% 25.43/17.16 tff(22014,plain,
% 25.43/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139))),
% 25.43/17.16 inference(modus_ponens,[status(thm)],[22013, 22012])).
% 25.43/17.16 tff(22015,plain,
% 25.43/17.16 (v110(constB140) | (~v108(constB139))),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[22014, 1082, 22008])).
% 25.43/17.16 tff(22016,plain,
% 25.43/17.16 (v110(constB140)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[22015, 22005])).
% 25.43/17.16 tff(22017,plain,
% 25.43/17.16 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(22018,plain,
% 25.43/17.16 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))),
% 25.43/17.16 inference(quant_inst,[status(thm)],[])).
% 25.43/17.16 tff(22019,plain,
% 25.43/17.16 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140))),
% 25.43/17.16 inference(modus_ponens,[status(thm)],[22018, 22017])).
% 25.43/17.16 tff(22020,plain,
% 25.43/17.16 (~v104(constB140)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[22019, 1100, 22008, 21864])).
% 25.43/17.16 tff(22021,plain,
% 25.43/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(22022,plain,
% 25.43/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))),
% 25.43/17.16 inference(quant_inst,[status(thm)],[])).
% 25.43/17.16 tff(22023,plain,
% 25.43/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v102(constB140) | v104(constB140)),
% 25.43/17.16 inference(modus_ponens,[status(thm)],[22022, 22021])).
% 25.43/17.16 tff(22024,plain,
% 25.43/17.16 (v102(constB140) | v104(constB140)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[22023, 1114, 22008])).
% 25.43/17.16 tff(22025,plain,
% 25.43/17.16 (v102(constB140)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[22024, 22020])).
% 25.43/17.16 tff(22026,plain,
% 25.43/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(22027,plain,
% 25.43/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))),
% 25.43/17.16 inference(quant_inst,[status(thm)],[])).
% 25.43/17.16 tff(22028,plain,
% 25.43/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140))),
% 25.43/17.16 inference(modus_ponens,[status(thm)],[22027, 22026])).
% 25.43/17.16 tff(22029,plain,
% 25.43/17.16 (v101(constB140) | (~v102(constB140))),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[22028, 1129, 22008, 581])).
% 25.43/17.16 tff(22030,plain,
% 25.43/17.16 (v101(constB140)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[22029, 22025])).
% 25.43/17.16 tff(22031,plain,
% 25.43/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(22032,plain,
% 25.43/17.16 (((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140)) <=> ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(22033,plain,
% 25.43/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140))))),
% 25.43/17.16 inference(monotonicity,[status(thm)],[22032])).
% 25.43/17.16 tff(22034,plain,
% 25.43/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 25.43/17.16 inference(transitivity,[status(thm)],[22033, 22031])).
% 25.43/17.16 tff(22035,plain,
% 25.43/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))),
% 25.43/17.16 inference(quant_inst,[status(thm)],[])).
% 25.43/17.16 tff(22036,plain,
% 25.43/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 25.43/17.16 inference(modus_ponens,[status(thm)],[22035, 22034])).
% 25.43/17.16 tff(22037,plain,
% 25.43/17.16 (v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[22036, 1144, 22008])).
% 25.43/17.16 tff(22038,plain,
% 25.43/17.16 (v100(constB140) | (~v110(constB140))),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[22037, 22030])).
% 25.43/17.16 tff(22039,plain,
% 25.43/17.16 (v100(constB140)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[22038, 22016])).
% 25.43/17.16 tff(22040,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB139)) | (~v130(constB139, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB139)) | (~v130(constB139, bitIndex2)))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(22041,plain,
% 25.43/17.16 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB139)) | (~v130(constB139, bitIndex2)))),
% 25.43/17.16 inference(quant_inst,[status(thm)],[])).
% 25.43/17.16 tff(22042,plain,
% 25.43/17.16 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB139)) | (~v130(constB139, bitIndex2))),
% 25.43/17.16 inference(modus_ponens,[status(thm)],[22041, 22040])).
% 25.43/17.16 tff(22043,plain,
% 25.43/17.16 (~v130(constB139, bitIndex2)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[22042, 2406, 21957])).
% 25.43/17.16 tff(22044,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(22045,plain,
% 25.43/17.16 ((v26(constB139) | v130(constB139, bitIndex2) | (~v127(constB139, bitIndex2))) <=> ((~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(22046,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB139) | v130(constB139, bitIndex2) | (~v127(constB139, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2)))),
% 25.43/17.16 inference(monotonicity,[status(thm)],[22045])).
% 25.43/17.16 tff(22047,plain,
% 25.43/17.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB139) | v130(constB139, bitIndex2) | (~v127(constB139, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2))),
% 25.43/17.16 inference(transitivity,[status(thm)],[22046, 22044])).
% 25.43/17.16 tff(22048,plain,
% 25.43/17.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB139) | v130(constB139, bitIndex2) | (~v127(constB139, bitIndex2)))),
% 25.43/17.16 inference(quant_inst,[status(thm)],[])).
% 25.43/17.16 tff(22049,plain,
% 25.43/17.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2)),
% 25.43/17.16 inference(modus_ponens,[status(thm)],[22048, 22047])).
% 25.43/17.16 tff(22050,plain,
% 25.43/17.16 ((~v127(constB139, bitIndex2)) | v130(constB139, bitIndex2)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[22049, 1812, 21990])).
% 25.43/17.16 tff(22051,plain,
% 25.43/17.16 (~v127(constB139, bitIndex2)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[22050, 22043])).
% 25.43/17.16 tff(22052,plain,
% 25.43/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex2) | (~v129(constB140, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex2) | (~v129(constB140, bitIndex2)))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(22053,plain,
% 25.43/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex2) | (~v129(constB140, bitIndex2)))),
% 25.43/17.16 inference(quant_inst,[status(thm)],[])).
% 25.43/17.16 tff(22054,plain,
% 25.43/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex2) | (~v129(constB140, bitIndex2))),
% 25.43/17.16 inference(modus_ponens,[status(thm)],[22053, 22052])).
% 25.43/17.16 tff(22055,plain,
% 25.43/17.16 (v127(constB139, bitIndex2) | (~v129(constB140, bitIndex2))),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[22054, 1830, 22008])).
% 25.43/17.16 tff(22056,plain,
% 25.43/17.16 (~v129(constB140, bitIndex2)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[22055, 22051])).
% 25.43/17.16 tff(22057,plain,
% 25.43/17.16 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB140, bitIndex2)) | v129(constB140, bitIndex2) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB140, bitIndex2)) | v129(constB140, bitIndex2) | (~v100(constB140)))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.16 tff(22058,plain,
% 25.43/17.16 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB140, bitIndex2)) | v129(constB140, bitIndex2) | (~v100(constB140)))),
% 25.43/17.16 inference(quant_inst,[status(thm)],[])).
% 25.43/17.16 tff(22059,plain,
% 25.43/17.16 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB140, bitIndex2)) | v129(constB140, bitIndex2) | (~v100(constB140))),
% 25.43/17.16 inference(modus_ponens,[status(thm)],[22058, 22057])).
% 25.43/17.16 tff(22060,plain,
% 25.43/17.16 ((~v90(constB140, bitIndex2)) | (~v100(constB140))),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[22059, 1845, 22056])).
% 25.43/17.16 tff(22061,plain,
% 25.43/17.16 (~v90(constB140, bitIndex2)),
% 25.43/17.16 inference(unit_resolution,[status(thm)],[22060, 22039])).
% 25.43/17.16 tff(22062,plain,
% 25.43/17.16 ((~v1(constB141)) <=> (~v1(constB141))),
% 25.43/17.16 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22063,axiom,(~v1(constB141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_141_1_1')).
% 25.43/17.17 tff(22064,plain,
% 25.43/17.17 (~v1(constB141)),
% 25.43/17.17 inference(modus_ponens,[status(thm)],[22063, 22062])).
% 25.43/17.17 tff(22065,plain,
% 25.43/17.17 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22066,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_140_1')).
% 25.43/17.17 tff(22067,plain,
% 25.43/17.17 (nextState(constB140, constB141)),
% 25.43/17.17 inference(modus_ponens,[status(thm)],[22066, 22065])).
% 25.43/17.17 tff(22068,plain,
% 25.43/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22069,plain,
% 25.43/17.17 (((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141)) <=> (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22070,plain,
% 25.43/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141))))),
% 25.43/17.17 inference(monotonicity,[status(thm)],[22069])).
% 25.43/17.17 tff(22071,plain,
% 25.43/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 25.43/17.17 inference(transitivity,[status(thm)],[22070, 22068])).
% 25.43/17.17 tff(22072,plain,
% 25.43/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))),
% 25.43/17.17 inference(quant_inst,[status(thm)],[])).
% 25.43/17.17 tff(22073,plain,
% 25.43/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141))),
% 25.43/17.17 inference(modus_ponens,[status(thm)],[22072, 22071])).
% 25.43/17.17 tff(22074,plain,
% 25.43/17.17 (~v101(constB141)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22073, 860, 22067, 22064])).
% 25.43/17.17 tff(22075,plain,
% 25.43/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22076,plain,
% 25.43/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))),
% 25.43/17.17 inference(quant_inst,[status(thm)],[])).
% 25.43/17.17 tff(22077,plain,
% 25.43/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141))),
% 25.43/17.17 inference(modus_ponens,[status(thm)],[22076, 22075])).
% 25.43/17.17 tff(22078,plain,
% 25.43/17.17 (v101(constB141) | (~v100(constB141))),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22077, 877, 22067])).
% 25.43/17.17 tff(22079,plain,
% 25.43/17.17 (~v100(constB141)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22078, 22074])).
% 25.43/17.17 tff(22080,plain,
% 25.43/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex2)))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22081,plain,
% 25.43/17.17 (((~nextState(constB140, constB141)) | v90(constB140, bitIndex2) | v100(constB141) | (~v90(constB141, bitIndex2))) <=> (v90(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex2)))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22082,plain,
% 25.43/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex2) | v100(constB141) | (~v90(constB141, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex2))))),
% 25.43/17.17 inference(monotonicity,[status(thm)],[22081])).
% 25.43/17.17 tff(22083,plain,
% 25.43/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex2) | v100(constB141) | (~v90(constB141, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex2)))),
% 25.43/17.17 inference(transitivity,[status(thm)],[22082, 22080])).
% 25.43/17.17 tff(22084,plain,
% 25.43/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex2) | v100(constB141) | (~v90(constB141, bitIndex2)))),
% 25.43/17.17 inference(quant_inst,[status(thm)],[])).
% 25.43/17.17 tff(22085,plain,
% 25.43/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex2))),
% 25.43/17.17 inference(modus_ponens,[status(thm)],[22084, 22083])).
% 25.43/17.17 tff(22086,plain,
% 25.43/17.17 (v90(constB140, bitIndex2) | v100(constB141) | (~v90(constB141, bitIndex2))),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22085, 892, 22067])).
% 25.43/17.17 tff(22087,plain,
% 25.43/17.17 (v90(constB140, bitIndex2) | (~v90(constB141, bitIndex2))),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22086, 22079])).
% 25.43/17.17 tff(22088,plain,
% 25.43/17.17 (~v90(constB141, bitIndex2)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22087, 22061])).
% 25.43/17.17 tff(22089,plain,
% 25.43/17.17 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB139)) | v130(constB139, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB139)) | v130(constB139, bitIndex1))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22090,plain,
% 25.43/17.17 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB139)) | v130(constB139, bitIndex1))),
% 25.43/17.17 inference(quant_inst,[status(thm)],[])).
% 25.43/17.17 tff(22091,plain,
% 25.43/17.17 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB139)) | v130(constB139, bitIndex1)),
% 25.43/17.17 inference(modus_ponens,[status(thm)],[22090, 22089])).
% 25.43/17.17 tff(22092,plain,
% 25.43/17.17 (v130(constB139, bitIndex1)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22091, 2562, 21957])).
% 25.43/17.17 tff(22093,plain,
% 25.43/17.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB139) | (~v130(constB139, bitIndex1)) | v127(constB139, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB139) | (~v130(constB139, bitIndex1)) | v127(constB139, bitIndex1))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22094,plain,
% 25.43/17.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB139) | (~v130(constB139, bitIndex1)) | v127(constB139, bitIndex1))),
% 25.43/17.17 inference(quant_inst,[status(thm)],[])).
% 25.43/17.17 tff(22095,plain,
% 25.43/17.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB139) | (~v130(constB139, bitIndex1)) | v127(constB139, bitIndex1)),
% 25.43/17.17 inference(modus_ponens,[status(thm)],[22094, 22093])).
% 25.43/17.17 tff(22096,plain,
% 25.43/17.17 ((~v130(constB139, bitIndex1)) | v127(constB139, bitIndex1)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22095, 1553, 21990])).
% 25.43/17.17 tff(22097,plain,
% 25.43/17.17 (v127(constB139, bitIndex1)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22096, 22092])).
% 25.43/17.17 tff(22098,plain,
% 25.43/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB139, constB140)) | (~v127(constB139, bitIndex1)) | v129(constB140, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB139, constB140)) | (~v127(constB139, bitIndex1)) | v129(constB140, bitIndex1))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22099,plain,
% 25.43/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB139, constB140)) | (~v127(constB139, bitIndex1)) | v129(constB140, bitIndex1))),
% 25.43/17.17 inference(quant_inst,[status(thm)],[])).
% 25.43/17.17 tff(22100,plain,
% 25.43/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB139, constB140)) | (~v127(constB139, bitIndex1)) | v129(constB140, bitIndex1)),
% 25.43/17.17 inference(modus_ponens,[status(thm)],[22099, 22098])).
% 25.43/17.17 tff(22101,plain,
% 25.43/17.17 ((~v127(constB139, bitIndex1)) | v129(constB140, bitIndex1)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22100, 1568, 22008])).
% 25.43/17.17 tff(22102,plain,
% 25.43/17.17 (v129(constB140, bitIndex1)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22101, 22097])).
% 25.43/17.17 tff(22103,plain,
% 25.43/17.17 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~v129(constB140, bitIndex1)) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB140, bitIndex1) | (~v129(constB140, bitIndex1)) | (~v100(constB140)))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22104,plain,
% 25.43/17.17 ((v90(constB140, bitIndex1) | (~v100(constB140)) | (~v129(constB140, bitIndex1))) <=> (v90(constB140, bitIndex1) | (~v129(constB140, bitIndex1)) | (~v100(constB140)))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22105,plain,
% 25.43/17.17 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~v100(constB140)) | (~v129(constB140, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~v129(constB140, bitIndex1)) | (~v100(constB140))))),
% 25.43/17.17 inference(monotonicity,[status(thm)],[22104])).
% 25.43/17.17 tff(22106,plain,
% 25.43/17.17 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~v100(constB140)) | (~v129(constB140, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB140, bitIndex1) | (~v129(constB140, bitIndex1)) | (~v100(constB140)))),
% 25.43/17.17 inference(transitivity,[status(thm)],[22105, 22103])).
% 25.43/17.17 tff(22107,plain,
% 25.43/17.17 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~v100(constB140)) | (~v129(constB140, bitIndex1)))),
% 25.43/17.17 inference(quant_inst,[status(thm)],[])).
% 25.43/17.17 tff(22108,plain,
% 25.43/17.17 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB140, bitIndex1) | (~v129(constB140, bitIndex1)) | (~v100(constB140))),
% 25.43/17.17 inference(modus_ponens,[status(thm)],[22107, 22106])).
% 25.43/17.17 tff(22109,plain,
% 25.43/17.17 (v90(constB140, bitIndex1) | (~v100(constB140))),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22108, 1583, 22102])).
% 25.43/17.17 tff(22110,plain,
% 25.43/17.17 (v90(constB140, bitIndex1)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22109, 22039])).
% 25.43/17.17 tff(22111,plain,
% 25.43/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex1))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22112,plain,
% 25.43/17.17 (((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex1)) | v100(constB141) | v90(constB141, bitIndex1)) <=> ((~v90(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex1))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22113,plain,
% 25.43/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex1)) | v100(constB141) | v90(constB141, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex1)))),
% 25.43/17.17 inference(monotonicity,[status(thm)],[22112])).
% 25.43/17.17 tff(22114,plain,
% 25.43/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex1)) | v100(constB141) | v90(constB141, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex1))),
% 25.43/17.17 inference(transitivity,[status(thm)],[22113, 22111])).
% 25.43/17.17 tff(22115,plain,
% 25.43/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex1)) | v100(constB141) | v90(constB141, bitIndex1))),
% 25.43/17.17 inference(quant_inst,[status(thm)],[])).
% 25.43/17.17 tff(22116,plain,
% 25.43/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex1)),
% 25.43/17.17 inference(modus_ponens,[status(thm)],[22115, 22114])).
% 25.43/17.17 tff(22117,plain,
% 25.43/17.17 ((~v90(constB140, bitIndex1)) | v100(constB141) | v90(constB141, bitIndex1)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22116, 1601, 22067])).
% 25.43/17.17 tff(22118,plain,
% 25.43/17.17 ((~v90(constB140, bitIndex1)) | v90(constB141, bitIndex1)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22117, 22079])).
% 25.43/17.17 tff(22119,plain,
% 25.43/17.17 (v90(constB141, bitIndex1)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22118, 22110])).
% 25.43/17.17 tff(22120,plain,
% 25.43/17.17 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB139)) | v130(constB139, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB139)) | v130(constB139, bitIndex0))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22121,plain,
% 25.43/17.17 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB139)) | v130(constB139, bitIndex0))),
% 25.43/17.17 inference(quant_inst,[status(thm)],[])).
% 25.43/17.17 tff(22122,plain,
% 25.43/17.17 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB139)) | v130(constB139, bitIndex0)),
% 25.43/17.17 inference(modus_ponens,[status(thm)],[22121, 22120])).
% 25.43/17.17 tff(22123,plain,
% 25.43/17.17 (v130(constB139, bitIndex0)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22122, 2600, 21957])).
% 25.43/17.17 tff(22124,plain,
% 25.43/17.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB139) | (~v130(constB139, bitIndex0)) | v127(constB139, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB139) | (~v130(constB139, bitIndex0)) | v127(constB139, bitIndex0))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22125,plain,
% 25.43/17.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB139) | (~v130(constB139, bitIndex0)) | v127(constB139, bitIndex0))),
% 25.43/17.17 inference(quant_inst,[status(thm)],[])).
% 25.43/17.17 tff(22126,plain,
% 25.43/17.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB139) | (~v130(constB139, bitIndex0)) | v127(constB139, bitIndex0)),
% 25.43/17.17 inference(modus_ponens,[status(thm)],[22125, 22124])).
% 25.43/17.17 tff(22127,plain,
% 25.43/17.17 ((~v130(constB139, bitIndex0)) | v127(constB139, bitIndex0)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22126, 1945, 21990])).
% 25.43/17.17 tff(22128,plain,
% 25.43/17.17 (v127(constB139, bitIndex0)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22127, 22123])).
% 25.43/17.17 tff(22129,plain,
% 25.43/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB139, constB140)) | (~v127(constB139, bitIndex0)) | v129(constB140, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB139, constB140)) | (~v127(constB139, bitIndex0)) | v129(constB140, bitIndex0))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22130,plain,
% 25.43/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB139, constB140)) | (~v127(constB139, bitIndex0)) | v129(constB140, bitIndex0))),
% 25.43/17.17 inference(quant_inst,[status(thm)],[])).
% 25.43/17.17 tff(22131,plain,
% 25.43/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB139, constB140)) | (~v127(constB139, bitIndex0)) | v129(constB140, bitIndex0)),
% 25.43/17.17 inference(modus_ponens,[status(thm)],[22130, 22129])).
% 25.43/17.17 tff(22132,plain,
% 25.43/17.17 ((~v127(constB139, bitIndex0)) | v129(constB140, bitIndex0)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22131, 1960, 22008])).
% 25.43/17.17 tff(22133,plain,
% 25.43/17.17 (v129(constB140, bitIndex0)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22132, 22128])).
% 25.43/17.17 tff(22134,plain,
% 25.43/17.17 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~v129(constB140, bitIndex0)) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB140, bitIndex0) | (~v129(constB140, bitIndex0)) | (~v100(constB140)))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22135,plain,
% 25.43/17.17 ((v90(constB140, bitIndex0) | (~v100(constB140)) | (~v129(constB140, bitIndex0))) <=> (v90(constB140, bitIndex0) | (~v129(constB140, bitIndex0)) | (~v100(constB140)))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22136,plain,
% 25.43/17.17 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~v100(constB140)) | (~v129(constB140, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~v129(constB140, bitIndex0)) | (~v100(constB140))))),
% 25.43/17.17 inference(monotonicity,[status(thm)],[22135])).
% 25.43/17.17 tff(22137,plain,
% 25.43/17.17 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~v100(constB140)) | (~v129(constB140, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB140, bitIndex0) | (~v129(constB140, bitIndex0)) | (~v100(constB140)))),
% 25.43/17.17 inference(transitivity,[status(thm)],[22136, 22134])).
% 25.43/17.17 tff(22138,plain,
% 25.43/17.17 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~v100(constB140)) | (~v129(constB140, bitIndex0)))),
% 25.43/17.17 inference(quant_inst,[status(thm)],[])).
% 25.43/17.17 tff(22139,plain,
% 25.43/17.17 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB140, bitIndex0) | (~v129(constB140, bitIndex0)) | (~v100(constB140))),
% 25.43/17.17 inference(modus_ponens,[status(thm)],[22138, 22137])).
% 25.43/17.17 tff(22140,plain,
% 25.43/17.17 (v90(constB140, bitIndex0) | (~v100(constB140))),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22139, 1975, 22133])).
% 25.43/17.17 tff(22141,plain,
% 25.43/17.17 (v90(constB140, bitIndex0)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22140, 22039])).
% 25.43/17.17 tff(22142,plain,
% 25.43/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex0))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22143,plain,
% 25.43/17.17 (((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex0)) | v100(constB141) | v90(constB141, bitIndex0)) <=> ((~v90(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex0))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22144,plain,
% 25.43/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex0)) | v100(constB141) | v90(constB141, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex0)))),
% 25.43/17.17 inference(monotonicity,[status(thm)],[22143])).
% 25.43/17.17 tff(22145,plain,
% 25.43/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex0)) | v100(constB141) | v90(constB141, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex0))),
% 25.43/17.17 inference(transitivity,[status(thm)],[22144, 22142])).
% 25.43/17.17 tff(22146,plain,
% 25.43/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex0)) | v100(constB141) | v90(constB141, bitIndex0))),
% 25.43/17.17 inference(quant_inst,[status(thm)],[])).
% 25.43/17.17 tff(22147,plain,
% 25.43/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex0)),
% 25.43/17.17 inference(modus_ponens,[status(thm)],[22146, 22145])).
% 25.43/17.17 tff(22148,plain,
% 25.43/17.17 ((~v90(constB140, bitIndex0)) | v100(constB141) | v90(constB141, bitIndex0)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22147, 1993, 22067])).
% 25.43/17.17 tff(22149,plain,
% 25.43/17.17 ((~v90(constB140, bitIndex0)) | v90(constB141, bitIndex0)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22148, 22079])).
% 25.43/17.17 tff(22150,plain,
% 25.43/17.17 (v90(constB141, bitIndex0)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22149, 22141])).
% 25.43/17.17 tff(22151,plain,
% 25.43/17.17 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB141, bitIndex0)) | (~v90(constB141, bitIndex1)) | v90(constB141, bitIndex2) | v122(constB141))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB141, bitIndex0)) | (~v90(constB141, bitIndex1)) | v90(constB141, bitIndex2) | v122(constB141))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22152,plain,
% 25.43/17.17 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB141, bitIndex0)) | (~v90(constB141, bitIndex1)) | v90(constB141, bitIndex2) | v122(constB141))),
% 25.43/17.17 inference(quant_inst,[status(thm)],[])).
% 25.43/17.17 tff(22153,plain,
% 25.43/17.17 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB141, bitIndex0)) | (~v90(constB141, bitIndex1)) | v90(constB141, bitIndex2) | v122(constB141)),
% 25.43/17.17 inference(modus_ponens,[status(thm)],[22152, 22151])).
% 25.43/17.17 tff(22154,plain,
% 25.43/17.17 (v122(constB141)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22153, 2641, 22150, 22119, 22088])).
% 25.43/17.17 tff(22155,plain,
% 25.43/17.17 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB141)) | v130(constB141, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB141)) | v130(constB141, bitIndex2))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22156,plain,
% 25.43/17.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB141)) | v130(constB141, bitIndex2))),
% 25.43/17.17 inference(quant_inst,[status(thm)],[])).
% 25.43/17.17 tff(22157,plain,
% 25.43/17.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB141)) | v130(constB141, bitIndex2)),
% 25.43/17.17 inference(modus_ponens,[status(thm)],[22156, 22155])).
% 25.43/17.17 tff(22158,plain,
% 25.43/17.17 (v130(constB141, bitIndex2)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22157, 2736, 22154])).
% 25.43/17.17 tff(22159,plain,
% 25.43/17.17 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB141)) | v116(constB141))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB141)) | v116(constB141))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22160,plain,
% 25.43/17.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB141)) | v116(constB141))),
% 25.43/17.17 inference(quant_inst,[status(thm)],[])).
% 25.43/17.17 tff(22161,plain,
% 25.43/17.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB141)) | v116(constB141)),
% 25.43/17.17 inference(modus_ponens,[status(thm)],[22160, 22159])).
% 25.43/17.17 tff(22162,plain,
% 25.43/17.17 (v116(constB141)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22161, 2652, 22154])).
% 25.43/17.17 tff(22163,plain,
% 25.43/17.17 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB141) | (~v116(constB141)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB141) | (~v116(constB141)))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22164,plain,
% 25.43/17.17 (((~v116(constB141)) | v115(constB141)) <=> (v115(constB141) | (~v116(constB141)))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22165,plain,
% 25.43/17.17 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB141)) | v115(constB141))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB141) | (~v116(constB141))))),
% 25.43/17.17 inference(monotonicity,[status(thm)],[22164])).
% 25.43/17.17 tff(22166,plain,
% 25.43/17.17 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB141)) | v115(constB141))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB141) | (~v116(constB141)))),
% 25.43/17.17 inference(transitivity,[status(thm)],[22165, 22163])).
% 25.43/17.17 tff(22167,plain,
% 25.43/17.17 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB141)) | v115(constB141))),
% 25.43/17.17 inference(quant_inst,[status(thm)],[])).
% 25.43/17.17 tff(22168,plain,
% 25.43/17.17 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB141) | (~v116(constB141))),
% 25.43/17.17 inference(modus_ponens,[status(thm)],[22167, 22166])).
% 25.43/17.17 tff(22169,plain,
% 25.43/17.17 (v115(constB141)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22168, 1008, 22162])).
% 25.43/17.17 tff(22170,plain,
% 25.43/17.17 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB141) | (~v115(constB141)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB141) | (~v115(constB141)))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22171,plain,
% 25.43/17.17 (((~v115(constB141)) | v114(constB141)) <=> (v114(constB141) | (~v115(constB141)))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22172,plain,
% 25.43/17.17 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB141)) | v114(constB141))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB141) | (~v115(constB141))))),
% 25.43/17.17 inference(monotonicity,[status(thm)],[22171])).
% 25.43/17.17 tff(22173,plain,
% 25.43/17.17 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB141)) | v114(constB141))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB141) | (~v115(constB141)))),
% 25.43/17.17 inference(transitivity,[status(thm)],[22172, 22170])).
% 25.43/17.17 tff(22174,plain,
% 25.43/17.17 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB141)) | v114(constB141))),
% 25.43/17.17 inference(quant_inst,[status(thm)],[])).
% 25.43/17.17 tff(22175,plain,
% 25.43/17.17 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB141) | (~v115(constB141))),
% 25.43/17.17 inference(modus_ponens,[status(thm)],[22174, 22173])).
% 25.43/17.17 tff(22176,plain,
% 25.43/17.17 (v114(constB141)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22175, 1022, 22169])).
% 25.43/17.17 tff(22177,plain,
% 25.43/17.17 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB141)) | v113(constB141))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB141)) | v113(constB141))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22178,plain,
% 25.43/17.17 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB141)) | v113(constB141))),
% 25.43/17.17 inference(quant_inst,[status(thm)],[])).
% 25.43/17.17 tff(22179,plain,
% 25.43/17.17 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB141)) | v113(constB141)),
% 25.43/17.17 inference(modus_ponens,[status(thm)],[22178, 22177])).
% 25.43/17.17 tff(22180,plain,
% 25.43/17.17 (v113(constB141)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22179, 1036, 22176])).
% 25.43/17.17 tff(22181,assumption,(v26(constB141)), introduced(assumption)).
% 25.43/17.17 tff(22182,plain,
% 25.43/17.17 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB141))),
% 25.43/17.17 inference(quant_inst,[status(thm)],[])).
% 25.43/17.17 tff(22183,plain,
% 25.43/17.17 ($false),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22182, 797, 22181])).
% 25.43/17.17 tff(22184,plain,(~v26(constB141)), inference(lemma,lemma(discharge,[]))).
% 25.43/17.17 tff(22185,assumption,(~v26(constB141)), introduced(assumption)).
% 25.43/17.17 tff(22186,assumption,(v113(constB141)), introduced(assumption)).
% 25.43/17.17 tff(22187,plain,
% 25.43/17.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | (~v113(constB141)) | v112(constB141))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22188,plain,
% 25.43/17.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))),
% 25.43/17.17 inference(quant_inst,[status(thm)],[])).
% 25.43/17.17 tff(22189,plain,
% 25.43/17.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | (~v113(constB141)) | v112(constB141)),
% 25.43/17.17 inference(modus_ponens,[status(thm)],[22188, 22187])).
% 25.43/17.17 tff(22190,plain,
% 25.43/17.17 (v26(constB141) | v112(constB141)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22189, 1050, 22186])).
% 25.43/17.17 tff(22191,plain,
% 25.43/17.17 (v112(constB141)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22190, 22185])).
% 25.43/17.17 tff(22192,assumption,(v130(constB141, bitIndex2)), introduced(assumption)).
% 25.43/17.17 tff(22193,plain,
% 25.43/17.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22194,plain,
% 25.43/17.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2))),
% 25.43/17.17 inference(quant_inst,[status(thm)],[])).
% 25.43/17.17 tff(22195,plain,
% 25.43/17.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2)),
% 25.43/17.17 inference(modus_ponens,[status(thm)],[22194, 22193])).
% 25.43/17.17 tff(22196,plain,
% 25.43/17.17 (v26(constB141) | v127(constB141, bitIndex2)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22195, 1174, 22192])).
% 25.43/17.17 tff(22197,plain,
% 25.43/17.17 (v127(constB141, bitIndex2)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22196, 22185])).
% 25.43/17.17 tff(22198,plain,
% 25.43/17.17 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22199,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_141_1')).
% 25.43/17.17 tff(22200,plain,
% 25.43/17.17 (nextState(constB141, constB142)),
% 25.43/17.17 inference(modus_ponens,[status(thm)],[22199, 22198])).
% 25.43/17.17 tff(22201,plain,
% 25.43/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2))),
% 25.43/17.17 inference(rewrite,[status(thm)],[])).
% 25.43/17.17 tff(22202,plain,
% 25.43/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2))),
% 25.43/17.17 inference(quant_inst,[status(thm)],[])).
% 25.43/17.17 tff(22203,plain,
% 25.43/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2)),
% 25.43/17.17 inference(modus_ponens,[status(thm)],[22202, 22201])).
% 25.43/17.17 tff(22204,plain,
% 25.43/17.17 ((~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22203, 1189, 22200])).
% 25.43/17.17 tff(22205,plain,
% 25.43/17.17 (v129(constB142, bitIndex2)),
% 25.43/17.17 inference(unit_resolution,[status(thm)],[22204, 22197])).
% 25.43/17.17 tff(22206,assumption,(~v90(constB142, bitIndex2)), introduced(assumption)).
% 25.43/17.17 tff(22207,plain,
% 25.43/17.18 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22208,plain,
% 25.43/17.18 ((v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2))) <=> (v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22209,plain,
% 25.43/17.18 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142))))),
% 25.43/17.18 inference(monotonicity,[status(thm)],[22208])).
% 25.43/17.18 tff(22210,plain,
% 25.43/17.18 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))),
% 25.43/17.18 inference(transitivity,[status(thm)],[22209, 22207])).
% 25.43/17.18 tff(22211,plain,
% 25.43/17.18 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2)))),
% 25.43/17.18 inference(quant_inst,[status(thm)],[])).
% 25.43/17.18 tff(22212,plain,
% 25.43/17.18 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142))),
% 25.43/17.18 inference(modus_ponens,[status(thm)],[22211, 22210])).
% 25.43/17.18 tff(22213,plain,
% 25.43/17.18 ((~v129(constB142, bitIndex2)) | (~v100(constB142))),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22212, 1204, 22206])).
% 25.43/17.18 tff(22214,plain,
% 25.43/17.18 (~v100(constB142)),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22213, 22205])).
% 25.43/17.18 tff(22215,plain,
% 25.43/17.18 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22216,plain,
% 25.43/17.18 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))),
% 25.43/17.18 inference(quant_inst,[status(thm)],[])).
% 25.43/17.18 tff(22217,plain,
% 25.43/17.18 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142))),
% 25.43/17.18 inference(modus_ponens,[status(thm)],[22216, 22215])).
% 25.43/17.18 tff(22218,plain,
% 25.43/17.18 (~v104(constB142)),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22217, 1100, 22200, 22064])).
% 25.43/17.18 tff(22219,plain,
% 25.43/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22220,plain,
% 25.43/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))),
% 25.43/17.18 inference(quant_inst,[status(thm)],[])).
% 25.43/17.18 tff(22221,plain,
% 25.43/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v102(constB142) | v104(constB142)),
% 25.43/17.18 inference(modus_ponens,[status(thm)],[22220, 22219])).
% 25.43/17.18 tff(22222,plain,
% 25.43/17.18 (v102(constB142) | v104(constB142)),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22221, 1114, 22200])).
% 25.43/17.18 tff(22223,plain,
% 25.43/17.18 (v102(constB142)),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22222, 22218])).
% 25.43/17.18 tff(22224,plain,
% 25.43/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22225,plain,
% 25.43/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))),
% 25.43/17.18 inference(quant_inst,[status(thm)],[])).
% 25.43/17.18 tff(22226,plain,
% 25.43/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142))),
% 25.43/17.18 inference(modus_ponens,[status(thm)],[22225, 22224])).
% 25.43/17.18 tff(22227,plain,
% 25.43/17.18 (v101(constB142) | (~v102(constB142))),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22226, 1129, 22200, 163])).
% 25.43/17.18 tff(22228,plain,
% 25.43/17.18 (v101(constB142)),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22227, 22223])).
% 25.43/17.18 tff(22229,plain,
% 25.43/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22230,plain,
% 25.43/17.18 (((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142)) <=> ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22231,plain,
% 25.43/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142))))),
% 25.43/17.18 inference(monotonicity,[status(thm)],[22230])).
% 25.43/17.18 tff(22232,plain,
% 25.43/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 25.43/17.18 inference(transitivity,[status(thm)],[22231, 22229])).
% 25.43/17.18 tff(22233,plain,
% 25.43/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))),
% 25.43/17.18 inference(quant_inst,[status(thm)],[])).
% 25.43/17.18 tff(22234,plain,
% 25.43/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 25.43/17.18 inference(modus_ponens,[status(thm)],[22233, 22232])).
% 25.43/17.18 tff(22235,plain,
% 25.43/17.18 (v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22234, 1144, 22200])).
% 25.43/17.18 tff(22236,plain,
% 25.43/17.18 (v100(constB142) | (~v110(constB142))),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22235, 22228])).
% 25.43/17.18 tff(22237,plain,
% 25.43/17.18 (~v110(constB142)),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22236, 22214])).
% 25.43/17.18 tff(22238,plain,
% 25.43/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22239,plain,
% 25.43/17.18 (((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142)) <=> ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22240,plain,
% 25.43/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141))))),
% 25.43/17.18 inference(monotonicity,[status(thm)],[22239])).
% 25.43/17.18 tff(22241,plain,
% 25.43/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 25.43/17.18 inference(transitivity,[status(thm)],[22240, 22238])).
% 25.43/17.18 tff(22242,plain,
% 25.43/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))),
% 25.43/17.18 inference(quant_inst,[status(thm)],[])).
% 25.43/17.18 tff(22243,plain,
% 25.43/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141))),
% 25.43/17.18 inference(modus_ponens,[status(thm)],[22242, 22241])).
% 25.43/17.18 tff(22244,plain,
% 25.43/17.18 (v110(constB142) | (~v108(constB141))),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22243, 1082, 22200])).
% 25.43/17.18 tff(22245,plain,
% 25.43/17.18 (~v108(constB141)),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22244, 22237])).
% 25.43/17.18 tff(22246,plain,
% 25.43/17.18 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB141) | (~v112(constB141)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v112(constB141)))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22247,plain,
% 25.43/17.18 (((~v112(constB141)) | v108(constB141)) <=> (v108(constB141) | (~v112(constB141)))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22248,plain,
% 25.43/17.18 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB141)) | v108(constB141))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB141) | (~v112(constB141))))),
% 25.43/17.18 inference(monotonicity,[status(thm)],[22247])).
% 25.43/17.18 tff(22249,plain,
% 25.43/17.18 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB141)) | v108(constB141))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v112(constB141)))),
% 25.43/17.18 inference(transitivity,[status(thm)],[22248, 22246])).
% 25.43/17.18 tff(22250,plain,
% 25.43/17.18 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB141)) | v108(constB141))),
% 25.43/17.18 inference(quant_inst,[status(thm)],[])).
% 25.43/17.18 tff(22251,plain,
% 25.43/17.18 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v112(constB141))),
% 25.43/17.18 inference(modus_ponens,[status(thm)],[22250, 22249])).
% 25.43/17.18 tff(22252,plain,
% 25.43/17.18 ($false),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22251, 1062, 22245, 22191])).
% 25.43/17.18 tff(22253,plain,(v26(constB141) | v90(constB142, bitIndex2) | (~v113(constB141)) | (~v130(constB141, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 25.43/17.18 tff(22254,plain,
% 25.43/17.18 (v90(constB142, bitIndex2) | (~v113(constB141)) | (~v130(constB141, bitIndex2))),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22253, 22184])).
% 25.43/17.18 tff(22255,plain,
% 25.43/17.18 (v90(constB142, bitIndex2)),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22254, 22180, 22158])).
% 25.43/17.18 tff(22256,plain,
% 25.43/17.18 ((~v1(constB143)) <=> (~v1(constB143))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22257,axiom,(~v1(constB143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_143_1_1')).
% 25.43/17.18 tff(22258,plain,
% 25.43/17.18 (~v1(constB143)),
% 25.43/17.18 inference(modus_ponens,[status(thm)],[22257, 22256])).
% 25.43/17.18 tff(22259,plain,
% 25.43/17.18 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22260,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_142_1')).
% 25.43/17.18 tff(22261,plain,
% 25.43/17.18 (nextState(constB142, constB143)),
% 25.43/17.18 inference(modus_ponens,[status(thm)],[22260, 22259])).
% 25.43/17.18 tff(22262,plain,
% 25.43/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22263,plain,
% 25.43/17.18 (((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143)) <=> (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22264,plain,
% 25.43/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143))))),
% 25.43/17.18 inference(monotonicity,[status(thm)],[22263])).
% 25.43/17.18 tff(22265,plain,
% 25.43/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 25.43/17.18 inference(transitivity,[status(thm)],[22264, 22262])).
% 25.43/17.18 tff(22266,plain,
% 25.43/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))),
% 25.43/17.18 inference(quant_inst,[status(thm)],[])).
% 25.43/17.18 tff(22267,plain,
% 25.43/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143))),
% 25.43/17.18 inference(modus_ponens,[status(thm)],[22266, 22265])).
% 25.43/17.18 tff(22268,plain,
% 25.43/17.18 (~v101(constB143)),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22267, 860, 22261, 22258])).
% 25.43/17.18 tff(22269,plain,
% 25.43/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22270,plain,
% 25.43/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))),
% 25.43/17.18 inference(quant_inst,[status(thm)],[])).
% 25.43/17.18 tff(22271,plain,
% 25.43/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143))),
% 25.43/17.18 inference(modus_ponens,[status(thm)],[22270, 22269])).
% 25.43/17.18 tff(22272,plain,
% 25.43/17.18 (v101(constB143) | (~v100(constB143))),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22271, 877, 22261])).
% 25.43/17.18 tff(22273,plain,
% 25.43/17.18 (~v100(constB143)),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22272, 22268])).
% 25.43/17.18 tff(22274,plain,
% 25.43/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22275,plain,
% 25.43/17.18 (((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2)) <=> ((~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22276,plain,
% 25.43/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2)))),
% 25.43/17.18 inference(monotonicity,[status(thm)],[22275])).
% 25.43/17.18 tff(22277,plain,
% 25.43/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))),
% 25.43/17.18 inference(transitivity,[status(thm)],[22276, 22274])).
% 25.43/17.18 tff(22278,plain,
% 25.43/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2))),
% 25.43/17.18 inference(quant_inst,[status(thm)],[])).
% 25.43/17.18 tff(22279,plain,
% 25.43/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2)),
% 25.43/17.18 inference(modus_ponens,[status(thm)],[22278, 22277])).
% 25.43/17.18 tff(22280,plain,
% 25.43/17.18 ((~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2)),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22279, 1240, 22261])).
% 25.43/17.18 tff(22281,plain,
% 25.43/17.18 ((~v90(constB142, bitIndex2)) | v90(constB143, bitIndex2)),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22280, 22273])).
% 25.43/17.18 tff(22282,plain,
% 25.43/17.18 (v90(constB143, bitIndex2)),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22281, 22255])).
% 25.43/17.18 tff(22283,plain,
% 25.43/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex2)))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22284,plain,
% 25.43/17.18 (((~nextState(constB141, constB142)) | v90(constB141, bitIndex2) | v100(constB142) | (~v90(constB142, bitIndex2))) <=> (v90(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex2)))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22285,plain,
% 25.43/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex2) | v100(constB142) | (~v90(constB142, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex2))))),
% 25.43/17.18 inference(monotonicity,[status(thm)],[22284])).
% 25.43/17.18 tff(22286,plain,
% 25.43/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex2) | v100(constB142) | (~v90(constB142, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex2)))),
% 25.43/17.18 inference(transitivity,[status(thm)],[22285, 22283])).
% 25.43/17.18 tff(22287,plain,
% 25.43/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex2) | v100(constB142) | (~v90(constB142, bitIndex2)))),
% 25.43/17.18 inference(quant_inst,[status(thm)],[])).
% 25.43/17.18 tff(22288,plain,
% 25.43/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex2))),
% 25.43/17.18 inference(modus_ponens,[status(thm)],[22287, 22286])).
% 25.43/17.18 tff(22289,plain,
% 25.43/17.18 (v90(constB141, bitIndex2) | v100(constB142) | (~v90(constB142, bitIndex2))),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22288, 892, 22200])).
% 25.43/17.18 tff(22290,plain,
% 25.43/17.18 (v100(constB142)),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22289, 22255, 22088])).
% 25.43/17.18 tff(22291,plain,
% 25.43/17.18 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB141)) | (~v130(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB141)) | (~v130(constB141, bitIndex1)))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22292,plain,
% 25.43/17.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB141)) | (~v130(constB141, bitIndex1)))),
% 25.43/17.18 inference(quant_inst,[status(thm)],[])).
% 25.43/17.18 tff(22293,plain,
% 25.43/17.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB141)) | (~v130(constB141, bitIndex1))),
% 25.43/17.18 inference(modus_ponens,[status(thm)],[22292, 22291])).
% 25.43/17.18 tff(22294,plain,
% 25.43/17.18 (~v130(constB141, bitIndex1)),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22293, 2792, 22154])).
% 25.43/17.18 tff(22295,assumption,(v127(constB141, bitIndex1)), introduced(assumption)).
% 25.43/17.18 tff(22296,assumption,(~v130(constB141, bitIndex1)), introduced(assumption)).
% 25.43/17.18 tff(22297,plain,
% 25.43/17.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22298,plain,
% 25.43/17.18 ((v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1))) <=> ((~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22299,plain,
% 25.43/17.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1)))),
% 25.43/17.18 inference(monotonicity,[status(thm)],[22298])).
% 25.43/17.18 tff(22300,plain,
% 25.43/17.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))),
% 25.43/17.18 inference(transitivity,[status(thm)],[22299, 22297])).
% 25.43/17.18 tff(22301,plain,
% 25.43/17.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1)))),
% 25.43/17.18 inference(quant_inst,[status(thm)],[])).
% 25.43/17.18 tff(22302,plain,
% 25.43/17.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1)),
% 25.43/17.18 inference(modus_ponens,[status(thm)],[22301, 22300])).
% 25.43/17.18 tff(22303,plain,
% 25.43/17.18 ((~v127(constB141, bitIndex1)) | v26(constB141)),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22302, 1270, 22296])).
% 25.43/17.18 tff(22304,plain,
% 25.43/17.18 (v26(constB141)),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22303, 22295])).
% 25.43/17.18 tff(22305,plain,
% 25.43/17.18 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB141)) | (~v127(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB141)) | (~v127(constB141, bitIndex1)))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22306,plain,
% 25.43/17.18 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB141)) | (~v127(constB141, bitIndex1)))),
% 25.43/17.18 inference(quant_inst,[status(thm)],[])).
% 25.43/17.18 tff(22307,plain,
% 25.43/17.18 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB141)) | (~v127(constB141, bitIndex1))),
% 25.43/17.18 inference(modus_ponens,[status(thm)],[22306, 22305])).
% 25.43/17.18 tff(22308,plain,
% 25.43/17.18 ($false),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22307, 6377, 22295, 22304])).
% 25.43/17.18 tff(22309,plain,((~v127(constB141, bitIndex1)) | v130(constB141, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 25.43/17.18 tff(22310,plain,
% 25.43/17.18 (~v127(constB141, bitIndex1)),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22309, 22294])).
% 25.43/17.18 tff(22311,plain,
% 25.43/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1)))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22312,plain,
% 25.43/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1)))),
% 25.43/17.18 inference(quant_inst,[status(thm)],[])).
% 25.43/17.18 tff(22313,plain,
% 25.43/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1))),
% 25.43/17.18 inference(modus_ponens,[status(thm)],[22312, 22311])).
% 25.43/17.18 tff(22314,plain,
% 25.43/17.18 (v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1))),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22313, 1288, 22200])).
% 25.43/17.18 tff(22315,plain,
% 25.43/17.18 (~v129(constB142, bitIndex1)),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22314, 22310])).
% 25.43/17.18 tff(22316,plain,
% 25.43/17.18 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22317,plain,
% 25.43/17.18 (((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1)) <=> ((~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22318,plain,
% 25.43/17.18 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142))))),
% 25.43/17.18 inference(monotonicity,[status(thm)],[22317])).
% 25.43/17.18 tff(22319,plain,
% 25.43/17.18 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))),
% 25.43/17.18 inference(transitivity,[status(thm)],[22318, 22316])).
% 25.43/17.18 tff(22320,plain,
% 25.43/17.18 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1))),
% 25.43/17.18 inference(quant_inst,[status(thm)],[])).
% 25.43/17.18 tff(22321,plain,
% 25.43/17.18 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142))),
% 25.43/17.18 inference(modus_ponens,[status(thm)],[22320, 22319])).
% 25.43/17.18 tff(22322,plain,
% 25.43/17.18 ((~v90(constB142, bitIndex1)) | (~v100(constB142))),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22321, 1303, 22315])).
% 25.43/17.18 tff(22323,plain,
% 25.43/17.18 (~v90(constB142, bitIndex1)),
% 25.43/17.18 inference(unit_resolution,[status(thm)],[22322, 22290])).
% 25.43/17.18 tff(22324,plain,
% 25.43/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 25.43/17.18 inference(rewrite,[status(thm)],[])).
% 25.43/17.18 tff(22325,plain,
% 25.43/17.18 (((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1))) <=> (v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22326,plain,
% 25.43/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1))))),
% 25.43/17.19 inference(monotonicity,[status(thm)],[22325])).
% 25.43/17.19 tff(22327,plain,
% 25.43/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 25.43/17.19 inference(transitivity,[status(thm)],[22326, 22324])).
% 25.43/17.19 tff(22328,plain,
% 25.43/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 25.43/17.19 inference(quant_inst,[status(thm)],[])).
% 25.43/17.19 tff(22329,plain,
% 25.43/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1))),
% 25.43/17.19 inference(modus_ponens,[status(thm)],[22328, 22327])).
% 25.43/17.19 tff(22330,plain,
% 25.43/17.19 (v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1))),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22329, 913, 22261])).
% 25.43/17.19 tff(22331,plain,
% 25.43/17.19 (v90(constB142, bitIndex1) | (~v90(constB143, bitIndex1))),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22330, 22273])).
% 25.43/17.19 tff(22332,plain,
% 25.43/17.19 (~v90(constB143, bitIndex1)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22331, 22323])).
% 25.43/17.19 tff(22333,plain,
% 25.43/17.19 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB141)) | (~v130(constB141, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB141)) | (~v130(constB141, bitIndex0)))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22334,plain,
% 25.43/17.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB141)) | (~v130(constB141, bitIndex0)))),
% 25.43/17.19 inference(quant_inst,[status(thm)],[])).
% 25.43/17.19 tff(22335,plain,
% 25.43/17.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB141)) | (~v130(constB141, bitIndex0))),
% 25.43/17.19 inference(modus_ponens,[status(thm)],[22334, 22333])).
% 25.43/17.19 tff(22336,plain,
% 25.43/17.19 (~v130(constB141, bitIndex0)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22335, 2833, 22154])).
% 25.43/17.19 tff(22337,plain,
% 25.43/17.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22338,plain,
% 25.43/17.19 ((v26(constB141) | v130(constB141, bitIndex0) | (~v127(constB141, bitIndex0))) <=> ((~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22339,plain,
% 25.43/17.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB141) | v130(constB141, bitIndex0) | (~v127(constB141, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0)))),
% 25.43/17.19 inference(monotonicity,[status(thm)],[22338])).
% 25.43/17.19 tff(22340,plain,
% 25.43/17.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB141) | v130(constB141, bitIndex0) | (~v127(constB141, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0))),
% 25.43/17.19 inference(transitivity,[status(thm)],[22339, 22337])).
% 25.43/17.19 tff(22341,plain,
% 25.43/17.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB141) | v130(constB141, bitIndex0) | (~v127(constB141, bitIndex0)))),
% 25.43/17.19 inference(quant_inst,[status(thm)],[])).
% 25.43/17.19 tff(22342,plain,
% 25.43/17.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0)),
% 25.43/17.19 inference(modus_ponens,[status(thm)],[22341, 22340])).
% 25.43/17.19 tff(22343,plain,
% 25.43/17.19 ((~v127(constB141, bitIndex0)) | v130(constB141, bitIndex0)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22342, 1341, 22184])).
% 25.43/17.19 tff(22344,plain,
% 25.43/17.19 (~v127(constB141, bitIndex0)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22343, 22336])).
% 25.43/17.19 tff(22345,plain,
% 25.43/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex0) | (~v129(constB142, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex0) | (~v129(constB142, bitIndex0)))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22346,plain,
% 25.43/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex0) | (~v129(constB142, bitIndex0)))),
% 25.43/17.19 inference(quant_inst,[status(thm)],[])).
% 25.43/17.19 tff(22347,plain,
% 25.43/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex0) | (~v129(constB142, bitIndex0))),
% 25.43/17.19 inference(modus_ponens,[status(thm)],[22346, 22345])).
% 25.43/17.19 tff(22348,plain,
% 25.43/17.19 (v127(constB141, bitIndex0) | (~v129(constB142, bitIndex0))),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22347, 1359, 22200])).
% 25.43/17.19 tff(22349,plain,
% 25.43/17.19 (~v129(constB142, bitIndex0)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22348, 22344])).
% 25.43/17.19 tff(22350,plain,
% 25.43/17.19 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142)))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22351,plain,
% 25.43/17.19 (((~v90(constB142, bitIndex0)) | (~v100(constB142)) | v129(constB142, bitIndex0)) <=> ((~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142)))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22352,plain,
% 25.43/17.19 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | (~v100(constB142)) | v129(constB142, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142))))),
% 25.43/17.19 inference(monotonicity,[status(thm)],[22351])).
% 25.43/17.19 tff(22353,plain,
% 25.43/17.19 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | (~v100(constB142)) | v129(constB142, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142)))),
% 25.43/17.19 inference(transitivity,[status(thm)],[22352, 22350])).
% 25.43/17.19 tff(22354,plain,
% 25.43/17.19 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | (~v100(constB142)) | v129(constB142, bitIndex0))),
% 25.43/17.19 inference(quant_inst,[status(thm)],[])).
% 25.43/17.19 tff(22355,plain,
% 25.43/17.19 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142))),
% 25.43/17.19 inference(modus_ponens,[status(thm)],[22354, 22353])).
% 25.43/17.19 tff(22356,plain,
% 25.43/17.19 ((~v90(constB142, bitIndex0)) | (~v100(constB142))),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22355, 1374, 22349])).
% 25.43/17.19 tff(22357,plain,
% 25.43/17.19 (~v90(constB142, bitIndex0)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22356, 22290])).
% 25.43/17.19 tff(22358,plain,
% 25.43/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex0)))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22359,plain,
% 25.43/17.19 (((~nextState(constB142, constB143)) | v90(constB142, bitIndex0) | v100(constB143) | (~v90(constB143, bitIndex0))) <=> (v90(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex0)))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22360,plain,
% 25.43/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex0) | v100(constB143) | (~v90(constB143, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex0))))),
% 25.43/17.19 inference(monotonicity,[status(thm)],[22359])).
% 25.43/17.19 tff(22361,plain,
% 25.43/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex0) | v100(constB143) | (~v90(constB143, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex0)))),
% 25.43/17.19 inference(transitivity,[status(thm)],[22360, 22358])).
% 25.43/17.19 tff(22362,plain,
% 25.43/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex0) | v100(constB143) | (~v90(constB143, bitIndex0)))),
% 25.43/17.19 inference(quant_inst,[status(thm)],[])).
% 25.43/17.19 tff(22363,plain,
% 25.43/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex0))),
% 25.43/17.19 inference(modus_ponens,[status(thm)],[22362, 22361])).
% 25.43/17.19 tff(22364,plain,
% 25.43/17.19 (v90(constB142, bitIndex0) | v100(constB143) | (~v90(constB143, bitIndex0))),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22363, 934, 22261])).
% 25.43/17.19 tff(22365,plain,
% 25.43/17.19 (v90(constB142, bitIndex0) | (~v90(constB143, bitIndex0))),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22364, 22273])).
% 25.43/17.19 tff(22366,plain,
% 25.43/17.19 (~v90(constB143, bitIndex0)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22365, 22357])).
% 25.43/17.19 tff(22367,plain,
% 25.43/17.19 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v123(constB143))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v123(constB143))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22368,plain,
% 25.43/17.19 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v123(constB143))),
% 25.43/17.19 inference(quant_inst,[status(thm)],[])).
% 25.43/17.19 tff(22369,plain,
% 25.43/17.19 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v123(constB143)),
% 25.43/17.19 inference(modus_ponens,[status(thm)],[22368, 22367])).
% 25.43/17.19 tff(22370,plain,
% 25.43/17.19 (v123(constB143)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22369, 1401, 22366, 22332, 22282])).
% 25.43/17.19 tff(22371,plain,
% 25.43/17.19 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB143)) | v115(constB143))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB143)) | v115(constB143))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22372,plain,
% 25.43/17.19 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB143)) | v115(constB143))),
% 25.43/17.19 inference(quant_inst,[status(thm)],[])).
% 25.43/17.19 tff(22373,plain,
% 25.43/17.19 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB143)) | v115(constB143)),
% 25.43/17.19 inference(modus_ponens,[status(thm)],[22372, 22371])).
% 25.43/17.19 tff(22374,plain,
% 25.43/17.19 (v115(constB143)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22373, 1412, 22370])).
% 25.43/17.19 tff(22375,plain,
% 25.43/17.19 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB143) | (~v115(constB143)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB143) | (~v115(constB143)))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22376,plain,
% 25.43/17.19 (((~v115(constB143)) | v114(constB143)) <=> (v114(constB143) | (~v115(constB143)))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22377,plain,
% 25.43/17.19 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB143)) | v114(constB143))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB143) | (~v115(constB143))))),
% 25.43/17.19 inference(monotonicity,[status(thm)],[22376])).
% 25.43/17.19 tff(22378,plain,
% 25.43/17.19 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB143)) | v114(constB143))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB143) | (~v115(constB143)))),
% 25.43/17.19 inference(transitivity,[status(thm)],[22377, 22375])).
% 25.43/17.19 tff(22379,plain,
% 25.43/17.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB143)) | v114(constB143))),
% 25.43/17.19 inference(quant_inst,[status(thm)],[])).
% 25.43/17.19 tff(22380,plain,
% 25.43/17.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB143) | (~v115(constB143))),
% 25.43/17.19 inference(modus_ponens,[status(thm)],[22379, 22378])).
% 25.43/17.19 tff(22381,plain,
% 25.43/17.19 (v114(constB143)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22380, 1022, 22374])).
% 25.43/17.19 tff(22382,plain,
% 25.43/17.19 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB143) | (~v114(constB143)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB143) | (~v114(constB143)))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22383,plain,
% 25.43/17.19 (((~v114(constB143)) | v113(constB143)) <=> (v113(constB143) | (~v114(constB143)))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22384,plain,
% 25.43/17.19 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB143)) | v113(constB143))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB143) | (~v114(constB143))))),
% 25.43/17.19 inference(monotonicity,[status(thm)],[22383])).
% 25.43/17.19 tff(22385,plain,
% 25.43/17.19 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB143)) | v113(constB143))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB143) | (~v114(constB143)))),
% 25.43/17.19 inference(transitivity,[status(thm)],[22384, 22382])).
% 25.43/17.19 tff(22386,plain,
% 25.43/17.19 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB143)) | v113(constB143))),
% 25.43/17.19 inference(quant_inst,[status(thm)],[])).
% 25.43/17.19 tff(22387,plain,
% 25.43/17.19 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB143) | (~v114(constB143))),
% 25.43/17.19 inference(modus_ponens,[status(thm)],[22386, 22385])).
% 25.43/17.19 tff(22388,plain,
% 25.43/17.19 (v113(constB143)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22387, 1036, 22381])).
% 25.43/17.19 tff(22389,assumption,(v26(constB143)), introduced(assumption)).
% 25.43/17.19 tff(22390,plain,
% 25.43/17.19 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB143))),
% 25.43/17.19 inference(quant_inst,[status(thm)],[])).
% 25.43/17.19 tff(22391,plain,
% 25.43/17.19 ($false),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22390, 797, 22389])).
% 25.43/17.19 tff(22392,plain,(~v26(constB143)), inference(lemma,lemma(discharge,[]))).
% 25.43/17.19 tff(22393,plain,
% 25.43/17.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | (~v113(constB143)) | v112(constB143))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22394,plain,
% 25.43/17.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))),
% 25.43/17.19 inference(quant_inst,[status(thm)],[])).
% 25.43/17.19 tff(22395,plain,
% 25.43/17.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | (~v113(constB143)) | v112(constB143)),
% 25.43/17.19 inference(modus_ponens,[status(thm)],[22394, 22393])).
% 25.43/17.19 tff(22396,plain,
% 25.43/17.19 ((~v113(constB143)) | v112(constB143)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22395, 1050, 22392])).
% 25.43/17.19 tff(22397,plain,
% 25.43/17.19 (v112(constB143)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22396, 22388])).
% 25.43/17.19 tff(22398,plain,
% 25.43/17.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB143) | (~v112(constB143)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v112(constB143)))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22399,plain,
% 25.43/17.19 (((~v112(constB143)) | v108(constB143)) <=> (v108(constB143) | (~v112(constB143)))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22400,plain,
% 25.43/17.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB143)) | v108(constB143))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB143) | (~v112(constB143))))),
% 25.43/17.19 inference(monotonicity,[status(thm)],[22399])).
% 25.43/17.19 tff(22401,plain,
% 25.43/17.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB143)) | v108(constB143))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v112(constB143)))),
% 25.43/17.19 inference(transitivity,[status(thm)],[22400, 22398])).
% 25.43/17.19 tff(22402,plain,
% 25.43/17.19 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB143)) | v108(constB143))),
% 25.43/17.19 inference(quant_inst,[status(thm)],[])).
% 25.43/17.19 tff(22403,plain,
% 25.43/17.19 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v112(constB143))),
% 25.43/17.19 inference(modus_ponens,[status(thm)],[22402, 22401])).
% 25.43/17.19 tff(22404,plain,
% 25.43/17.19 (v108(constB143)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22403, 1062, 22397])).
% 25.43/17.19 tff(22405,plain,
% 25.43/17.19 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22406,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_143_1')).
% 25.43/17.19 tff(22407,plain,
% 25.43/17.19 (nextState(constB143, constB144)),
% 25.43/17.19 inference(modus_ponens,[status(thm)],[22406, 22405])).
% 25.43/17.19 tff(22408,plain,
% 25.43/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22409,plain,
% 25.43/17.19 (((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144)) <=> ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22410,plain,
% 25.43/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143))))),
% 25.43/17.19 inference(monotonicity,[status(thm)],[22409])).
% 25.43/17.19 tff(22411,plain,
% 25.43/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 25.43/17.19 inference(transitivity,[status(thm)],[22410, 22408])).
% 25.43/17.19 tff(22412,plain,
% 25.43/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))),
% 25.43/17.19 inference(quant_inst,[status(thm)],[])).
% 25.43/17.19 tff(22413,plain,
% 25.43/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143))),
% 25.43/17.19 inference(modus_ponens,[status(thm)],[22412, 22411])).
% 25.43/17.19 tff(22414,plain,
% 25.43/17.19 (v110(constB144) | (~v108(constB143))),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22413, 1082, 22407])).
% 25.43/17.19 tff(22415,plain,
% 25.43/17.19 (v110(constB144)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22414, 22404])).
% 25.43/17.19 tff(22416,plain,
% 25.43/17.19 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22417,plain,
% 25.43/17.19 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))),
% 25.43/17.19 inference(quant_inst,[status(thm)],[])).
% 25.43/17.19 tff(22418,plain,
% 25.43/17.19 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144))),
% 25.43/17.19 inference(modus_ponens,[status(thm)],[22417, 22416])).
% 25.43/17.19 tff(22419,plain,
% 25.43/17.19 (~v104(constB144)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22418, 1100, 22407, 22258])).
% 25.43/17.19 tff(22420,plain,
% 25.43/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22421,plain,
% 25.43/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))),
% 25.43/17.19 inference(quant_inst,[status(thm)],[])).
% 25.43/17.19 tff(22422,plain,
% 25.43/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v102(constB144) | v104(constB144)),
% 25.43/17.19 inference(modus_ponens,[status(thm)],[22421, 22420])).
% 25.43/17.19 tff(22423,plain,
% 25.43/17.19 (v102(constB144) | v104(constB144)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22422, 1114, 22407])).
% 25.43/17.19 tff(22424,plain,
% 25.43/17.19 (v102(constB144)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22423, 22419])).
% 25.43/17.19 tff(22425,plain,
% 25.43/17.19 (v1(constB144) <=> v1(constB144)),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22426,axiom,(v1(constB144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_144_1')).
% 25.43/17.19 tff(22427,plain,
% 25.43/17.19 (v1(constB144)),
% 25.43/17.19 inference(modus_ponens,[status(thm)],[22426, 22425])).
% 25.43/17.19 tff(22428,plain,
% 25.43/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22429,plain,
% 25.43/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))),
% 25.43/17.19 inference(quant_inst,[status(thm)],[])).
% 25.43/17.19 tff(22430,plain,
% 25.43/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144))),
% 25.43/17.19 inference(modus_ponens,[status(thm)],[22429, 22428])).
% 25.43/17.19 tff(22431,plain,
% 25.43/17.19 (v101(constB144) | (~v102(constB144))),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22430, 1129, 22407, 22427])).
% 25.43/17.19 tff(22432,plain,
% 25.43/17.19 (v101(constB144)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22431, 22424])).
% 25.43/17.19 tff(22433,plain,
% 25.43/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22434,plain,
% 25.43/17.19 (((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144)) <=> ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22435,plain,
% 25.43/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144))))),
% 25.43/17.19 inference(monotonicity,[status(thm)],[22434])).
% 25.43/17.19 tff(22436,plain,
% 25.43/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 25.43/17.19 inference(transitivity,[status(thm)],[22435, 22433])).
% 25.43/17.19 tff(22437,plain,
% 25.43/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))),
% 25.43/17.19 inference(quant_inst,[status(thm)],[])).
% 25.43/17.19 tff(22438,plain,
% 25.43/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 25.43/17.19 inference(modus_ponens,[status(thm)],[22437, 22436])).
% 25.43/17.19 tff(22439,plain,
% 25.43/17.19 (v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22438, 1144, 22407])).
% 25.43/17.19 tff(22440,plain,
% 25.43/17.19 (v100(constB144) | (~v110(constB144))),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22439, 22432])).
% 25.43/17.19 tff(22441,plain,
% 25.43/17.19 (v100(constB144)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22440, 22415])).
% 25.43/17.19 tff(22442,plain,
% 25.43/17.19 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB143)) | v130(constB143, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB143)) | v130(constB143, bitIndex2))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22443,plain,
% 25.43/17.19 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB143)) | v130(constB143, bitIndex2))),
% 25.43/17.19 inference(quant_inst,[status(thm)],[])).
% 25.43/17.19 tff(22444,plain,
% 25.43/17.19 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB143)) | v130(constB143, bitIndex2)),
% 25.43/17.19 inference(modus_ponens,[status(thm)],[22443, 22442])).
% 25.43/17.19 tff(22445,plain,
% 25.43/17.19 (v130(constB143, bitIndex2)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22444, 1483, 22370])).
% 25.43/17.19 tff(22446,plain,
% 25.43/17.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22447,plain,
% 25.43/17.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2))),
% 25.43/17.19 inference(quant_inst,[status(thm)],[])).
% 25.43/17.19 tff(22448,plain,
% 25.43/17.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2)),
% 25.43/17.19 inference(modus_ponens,[status(thm)],[22447, 22446])).
% 25.43/17.19 tff(22449,plain,
% 25.43/17.19 ((~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22448, 1174, 22392])).
% 25.43/17.19 tff(22450,plain,
% 25.43/17.19 (v127(constB143, bitIndex2)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22449, 22445])).
% 25.43/17.19 tff(22451,plain,
% 25.43/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22452,plain,
% 25.43/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2))),
% 25.43/17.19 inference(quant_inst,[status(thm)],[])).
% 25.43/17.19 tff(22453,plain,
% 25.43/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2)),
% 25.43/17.19 inference(modus_ponens,[status(thm)],[22452, 22451])).
% 25.43/17.19 tff(22454,plain,
% 25.43/17.19 ((~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22453, 1189, 22407])).
% 25.43/17.19 tff(22455,plain,
% 25.43/17.19 (v129(constB144, bitIndex2)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22454, 22450])).
% 25.43/17.19 tff(22456,plain,
% 25.43/17.19 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22457,plain,
% 25.43/17.19 ((v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2))) <=> (v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22458,plain,
% 25.43/17.19 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144))))),
% 25.43/17.19 inference(monotonicity,[status(thm)],[22457])).
% 25.43/17.19 tff(22459,plain,
% 25.43/17.19 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))),
% 25.43/17.19 inference(transitivity,[status(thm)],[22458, 22456])).
% 25.43/17.19 tff(22460,plain,
% 25.43/17.19 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2)))),
% 25.43/17.19 inference(quant_inst,[status(thm)],[])).
% 25.43/17.19 tff(22461,plain,
% 25.43/17.19 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144))),
% 25.43/17.19 inference(modus_ponens,[status(thm)],[22460, 22459])).
% 25.43/17.19 tff(22462,plain,
% 25.43/17.19 (v90(constB144, bitIndex2) | (~v100(constB144))),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22461, 1204, 22455])).
% 25.43/17.19 tff(22463,plain,
% 25.43/17.19 (v90(constB144, bitIndex2)),
% 25.43/17.19 inference(unit_resolution,[status(thm)],[22462, 22441])).
% 25.43/17.19 tff(22464,plain,
% 25.43/17.19 ((~v1(constB145)) <=> (~v1(constB145))),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22465,axiom,(~v1(constB145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_145_1_1')).
% 25.43/17.19 tff(22466,plain,
% 25.43/17.19 (~v1(constB145)),
% 25.43/17.19 inference(modus_ponens,[status(thm)],[22465, 22464])).
% 25.43/17.19 tff(22467,plain,
% 25.43/17.19 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 25.43/17.19 inference(rewrite,[status(thm)],[])).
% 25.43/17.19 tff(22468,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_144_1')).
% 25.43/17.19 tff(22469,plain,
% 25.43/17.19 (nextState(constB144, constB145)),
% 25.43/17.20 inference(modus_ponens,[status(thm)],[22468, 22467])).
% 25.43/17.20 tff(22470,plain,
% 25.43/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22471,plain,
% 25.43/17.20 (((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145)) <=> (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22472,plain,
% 25.43/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145))))),
% 25.43/17.20 inference(monotonicity,[status(thm)],[22471])).
% 25.43/17.20 tff(22473,plain,
% 25.43/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 25.43/17.20 inference(transitivity,[status(thm)],[22472, 22470])).
% 25.43/17.20 tff(22474,plain,
% 25.43/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))),
% 25.43/17.20 inference(quant_inst,[status(thm)],[])).
% 25.43/17.20 tff(22475,plain,
% 25.43/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145))),
% 25.43/17.20 inference(modus_ponens,[status(thm)],[22474, 22473])).
% 25.43/17.20 tff(22476,plain,
% 25.43/17.20 (~v101(constB145)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22475, 860, 22469, 22466])).
% 25.43/17.20 tff(22477,plain,
% 25.43/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22478,plain,
% 25.43/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))),
% 25.43/17.20 inference(quant_inst,[status(thm)],[])).
% 25.43/17.20 tff(22479,plain,
% 25.43/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145))),
% 25.43/17.20 inference(modus_ponens,[status(thm)],[22478, 22477])).
% 25.43/17.20 tff(22480,plain,
% 25.43/17.20 (v101(constB145) | (~v100(constB145))),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22479, 877, 22469])).
% 25.43/17.20 tff(22481,plain,
% 25.43/17.20 (~v100(constB145)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22480, 22476])).
% 25.43/17.20 tff(22482,plain,
% 25.43/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22483,plain,
% 25.43/17.20 (((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2)) <=> ((~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22484,plain,
% 25.43/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2)))),
% 25.43/17.20 inference(monotonicity,[status(thm)],[22483])).
% 25.43/17.20 tff(22485,plain,
% 25.43/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))),
% 25.43/17.20 inference(transitivity,[status(thm)],[22484, 22482])).
% 25.43/17.20 tff(22486,plain,
% 25.43/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2))),
% 25.43/17.20 inference(quant_inst,[status(thm)],[])).
% 25.43/17.20 tff(22487,plain,
% 25.43/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2)),
% 25.43/17.20 inference(modus_ponens,[status(thm)],[22486, 22485])).
% 25.43/17.20 tff(22488,plain,
% 25.43/17.20 ((~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22487, 1240, 22469])).
% 25.43/17.20 tff(22489,plain,
% 25.43/17.20 ((~v90(constB144, bitIndex2)) | v90(constB145, bitIndex2)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22488, 22481])).
% 25.43/17.20 tff(22490,plain,
% 25.43/17.20 (v90(constB145, bitIndex2)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22489, 22463])).
% 25.43/17.20 tff(22491,plain,
% 25.43/17.20 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB145)) | (~v90(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB145)) | (~v90(constB145, bitIndex2)))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22492,plain,
% 25.43/17.20 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB145)) | (~v90(constB145, bitIndex2)))),
% 25.43/17.20 inference(quant_inst,[status(thm)],[])).
% 25.43/17.20 tff(22493,plain,
% 25.43/17.20 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB145)) | (~v90(constB145, bitIndex2))),
% 25.43/17.20 inference(modus_ponens,[status(thm)],[22492, 22491])).
% 25.43/17.20 tff(22494,plain,
% 25.43/17.20 (~v122(constB145)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22493, 1740, 22490])).
% 25.43/17.20 tff(22495,plain,
% 25.43/17.20 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB143)) | v130(constB143, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB143)) | v130(constB143, bitIndex1))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22496,plain,
% 25.43/17.20 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB143)) | v130(constB143, bitIndex1))),
% 25.43/17.20 inference(quant_inst,[status(thm)],[])).
% 25.43/17.20 tff(22497,plain,
% 25.43/17.20 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB143)) | v130(constB143, bitIndex1)),
% 25.43/17.20 inference(modus_ponens,[status(thm)],[22496, 22495])).
% 25.43/17.20 tff(22498,plain,
% 25.43/17.20 (v130(constB143, bitIndex1)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22497, 1539, 22370])).
% 25.43/17.20 tff(22499,plain,
% 25.43/17.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22500,plain,
% 25.43/17.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1))),
% 25.43/17.20 inference(quant_inst,[status(thm)],[])).
% 25.43/17.20 tff(22501,plain,
% 25.43/17.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1)),
% 25.43/17.20 inference(modus_ponens,[status(thm)],[22500, 22499])).
% 25.43/17.20 tff(22502,plain,
% 25.43/17.20 ((~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22501, 1553, 22392])).
% 25.43/17.20 tff(22503,plain,
% 25.43/17.20 (v127(constB143, bitIndex1)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22502, 22498])).
% 25.43/17.20 tff(22504,plain,
% 25.43/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22505,plain,
% 25.43/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1))),
% 25.43/17.20 inference(quant_inst,[status(thm)],[])).
% 25.43/17.20 tff(22506,plain,
% 25.43/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1)),
% 25.43/17.20 inference(modus_ponens,[status(thm)],[22505, 22504])).
% 25.43/17.20 tff(22507,plain,
% 25.43/17.20 ((~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22506, 1568, 22407])).
% 25.43/17.20 tff(22508,plain,
% 25.43/17.20 (v129(constB144, bitIndex1)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22507, 22503])).
% 25.43/17.20 tff(22509,plain,
% 25.43/17.20 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22510,plain,
% 25.43/17.20 ((v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1))) <=> (v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22511,plain,
% 25.43/17.20 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144))))),
% 25.43/17.20 inference(monotonicity,[status(thm)],[22510])).
% 25.43/17.20 tff(22512,plain,
% 25.43/17.20 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))),
% 25.43/17.20 inference(transitivity,[status(thm)],[22511, 22509])).
% 25.43/17.20 tff(22513,plain,
% 25.43/17.20 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1)))),
% 25.43/17.20 inference(quant_inst,[status(thm)],[])).
% 25.43/17.20 tff(22514,plain,
% 25.43/17.20 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144))),
% 25.43/17.20 inference(modus_ponens,[status(thm)],[22513, 22512])).
% 25.43/17.20 tff(22515,plain,
% 25.43/17.20 (v90(constB144, bitIndex1) | (~v100(constB144))),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22514, 1583, 22508])).
% 25.43/17.20 tff(22516,plain,
% 25.43/17.20 (v90(constB144, bitIndex1)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22515, 22441])).
% 25.43/17.20 tff(22517,plain,
% 25.43/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22518,plain,
% 25.43/17.20 (((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1)) <=> ((~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22519,plain,
% 25.43/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1)))),
% 25.43/17.20 inference(monotonicity,[status(thm)],[22518])).
% 25.43/17.20 tff(22520,plain,
% 25.43/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))),
% 25.43/17.20 inference(transitivity,[status(thm)],[22519, 22517])).
% 25.43/17.20 tff(22521,plain,
% 25.43/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1))),
% 25.43/17.20 inference(quant_inst,[status(thm)],[])).
% 25.43/17.20 tff(22522,plain,
% 25.43/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1)),
% 25.43/17.20 inference(modus_ponens,[status(thm)],[22521, 22520])).
% 25.43/17.20 tff(22523,plain,
% 25.43/17.20 ((~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22522, 1601, 22469])).
% 25.43/17.20 tff(22524,plain,
% 25.43/17.20 ((~v90(constB144, bitIndex1)) | v90(constB145, bitIndex1)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22523, 22481])).
% 25.43/17.20 tff(22525,plain,
% 25.43/17.20 (v90(constB145, bitIndex1)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22524, 22516])).
% 25.43/17.20 tff(22526,plain,
% 25.43/17.20 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB143)) | (~v130(constB143, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB143)) | (~v130(constB143, bitIndex0)))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22527,plain,
% 25.43/17.20 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB143)) | (~v130(constB143, bitIndex0)))),
% 25.43/17.20 inference(quant_inst,[status(thm)],[])).
% 25.43/17.20 tff(22528,plain,
% 25.43/17.20 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB143)) | (~v130(constB143, bitIndex0))),
% 25.43/17.20 inference(modus_ponens,[status(thm)],[22527, 22526])).
% 25.43/17.20 tff(22529,plain,
% 25.43/17.20 (~v130(constB143, bitIndex0)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22528, 1617, 22370])).
% 25.43/17.20 tff(22530,plain,
% 25.43/17.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22531,plain,
% 25.43/17.20 ((v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0))) <=> ((~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22532,plain,
% 25.43/17.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0)))),
% 25.43/17.20 inference(monotonicity,[status(thm)],[22531])).
% 25.43/17.20 tff(22533,plain,
% 25.43/17.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))),
% 25.43/17.20 inference(transitivity,[status(thm)],[22532, 22530])).
% 25.43/17.20 tff(22534,plain,
% 25.43/17.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0)))),
% 25.43/17.20 inference(quant_inst,[status(thm)],[])).
% 25.43/17.20 tff(22535,plain,
% 25.43/17.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0)),
% 25.43/17.20 inference(modus_ponens,[status(thm)],[22534, 22533])).
% 25.43/17.20 tff(22536,plain,
% 25.43/17.20 ((~v127(constB143, bitIndex0)) | v130(constB143, bitIndex0)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22535, 1341, 22392])).
% 25.43/17.20 tff(22537,plain,
% 25.43/17.20 (~v127(constB143, bitIndex0)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22536, 22529])).
% 25.43/17.20 tff(22538,plain,
% 25.43/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0)))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22539,plain,
% 25.43/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0)))),
% 25.43/17.20 inference(quant_inst,[status(thm)],[])).
% 25.43/17.20 tff(22540,plain,
% 25.43/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0))),
% 25.43/17.20 inference(modus_ponens,[status(thm)],[22539, 22538])).
% 25.43/17.20 tff(22541,plain,
% 25.43/17.20 (v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0))),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22540, 1359, 22407])).
% 25.43/17.20 tff(22542,plain,
% 25.43/17.20 (~v129(constB144, bitIndex0)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22541, 22537])).
% 25.43/17.20 tff(22543,plain,
% 25.43/17.20 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22544,plain,
% 25.43/17.20 (((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0)) <=> ((~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22545,plain,
% 25.43/17.20 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144))))),
% 25.43/17.20 inference(monotonicity,[status(thm)],[22544])).
% 25.43/17.20 tff(22546,plain,
% 25.43/17.20 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))),
% 25.43/17.20 inference(transitivity,[status(thm)],[22545, 22543])).
% 25.43/17.20 tff(22547,plain,
% 25.43/17.20 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0))),
% 25.43/17.20 inference(quant_inst,[status(thm)],[])).
% 25.43/17.20 tff(22548,plain,
% 25.43/17.20 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144))),
% 25.43/17.20 inference(modus_ponens,[status(thm)],[22547, 22546])).
% 25.43/17.20 tff(22549,plain,
% 25.43/17.20 ((~v90(constB144, bitIndex0)) | (~v100(constB144))),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22548, 1374, 22542])).
% 25.43/17.20 tff(22550,plain,
% 25.43/17.20 (~v90(constB144, bitIndex0)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22549, 22441])).
% 25.43/17.20 tff(22551,plain,
% 25.43/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22552,plain,
% 25.43/17.20 (((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0))) <=> (v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22553,plain,
% 25.43/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0))))),
% 25.43/17.20 inference(monotonicity,[status(thm)],[22552])).
% 25.43/17.20 tff(22554,plain,
% 25.43/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 25.43/17.20 inference(transitivity,[status(thm)],[22553, 22551])).
% 25.43/17.20 tff(22555,plain,
% 25.43/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 25.43/17.20 inference(quant_inst,[status(thm)],[])).
% 25.43/17.20 tff(22556,plain,
% 25.43/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0))),
% 25.43/17.20 inference(modus_ponens,[status(thm)],[22555, 22554])).
% 25.43/17.20 tff(22557,plain,
% 25.43/17.20 (v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0))),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22556, 934, 22469])).
% 25.43/17.20 tff(22558,plain,
% 25.43/17.20 (v90(constB144, bitIndex0) | (~v90(constB145, bitIndex0))),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22557, 22481])).
% 25.43/17.20 tff(22559,plain,
% 25.43/17.20 (~v90(constB145, bitIndex0)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22558, 22550])).
% 25.43/17.20 tff(22560,plain,
% 25.43/17.20 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22561,plain,
% 25.43/17.20 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145))),
% 25.43/17.20 inference(quant_inst,[status(thm)],[])).
% 25.43/17.20 tff(22562,plain,
% 25.43/17.20 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145)),
% 25.43/17.20 inference(modus_ponens,[status(thm)],[22561, 22560])).
% 25.43/17.20 tff(22563,plain,
% 25.43/17.20 (v125(constB145)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22562, 1661, 22559, 22525, 22490])).
% 25.43/17.20 tff(22564,plain,
% 25.43/17.20 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB145)) | v113(constB145))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB145)) | v113(constB145))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22565,plain,
% 25.43/17.20 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB145)) | v113(constB145))),
% 25.43/17.20 inference(quant_inst,[status(thm)],[])).
% 25.43/17.20 tff(22566,plain,
% 25.43/17.20 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB145)) | v113(constB145)),
% 25.43/17.20 inference(modus_ponens,[status(thm)],[22565, 22564])).
% 25.43/17.20 tff(22567,plain,
% 25.43/17.20 (v113(constB145)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22566, 1672, 22563])).
% 25.43/17.20 tff(22568,assumption,(v26(constB145)), introduced(assumption)).
% 25.43/17.20 tff(22569,plain,
% 25.43/17.20 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB145))),
% 25.43/17.20 inference(quant_inst,[status(thm)],[])).
% 25.43/17.20 tff(22570,plain,
% 25.43/17.20 ($false),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22569, 797, 22568])).
% 25.43/17.20 tff(22571,plain,(~v26(constB145)), inference(lemma,lemma(discharge,[]))).
% 25.43/17.20 tff(22572,plain,
% 25.43/17.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | (~v113(constB145)) | v112(constB145))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22573,plain,
% 25.43/17.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))),
% 25.43/17.20 inference(quant_inst,[status(thm)],[])).
% 25.43/17.20 tff(22574,plain,
% 25.43/17.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | (~v113(constB145)) | v112(constB145)),
% 25.43/17.20 inference(modus_ponens,[status(thm)],[22573, 22572])).
% 25.43/17.20 tff(22575,plain,
% 25.43/17.20 ((~v113(constB145)) | v112(constB145)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22574, 1050, 22571])).
% 25.43/17.20 tff(22576,plain,
% 25.43/17.20 (v112(constB145)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22575, 22567])).
% 25.43/17.20 tff(22577,plain,
% 25.43/17.20 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB145) | (~v112(constB145)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v112(constB145)))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22578,plain,
% 25.43/17.20 (((~v112(constB145)) | v108(constB145)) <=> (v108(constB145) | (~v112(constB145)))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22579,plain,
% 25.43/17.20 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB145)) | v108(constB145))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB145) | (~v112(constB145))))),
% 25.43/17.20 inference(monotonicity,[status(thm)],[22578])).
% 25.43/17.20 tff(22580,plain,
% 25.43/17.20 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB145)) | v108(constB145))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v112(constB145)))),
% 25.43/17.20 inference(transitivity,[status(thm)],[22579, 22577])).
% 25.43/17.20 tff(22581,plain,
% 25.43/17.20 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB145)) | v108(constB145))),
% 25.43/17.20 inference(quant_inst,[status(thm)],[])).
% 25.43/17.20 tff(22582,plain,
% 25.43/17.20 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v112(constB145))),
% 25.43/17.20 inference(modus_ponens,[status(thm)],[22581, 22580])).
% 25.43/17.20 tff(22583,plain,
% 25.43/17.20 (v108(constB145)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22582, 1062, 22576])).
% 25.43/17.20 tff(22584,plain,
% 25.43/17.20 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22585,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_145_1')).
% 25.43/17.20 tff(22586,plain,
% 25.43/17.20 (nextState(constB145, constB146)),
% 25.43/17.20 inference(modus_ponens,[status(thm)],[22585, 22584])).
% 25.43/17.20 tff(22587,plain,
% 25.43/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22588,plain,
% 25.43/17.20 (((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146)) <=> ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 25.43/17.20 inference(rewrite,[status(thm)],[])).
% 25.43/17.20 tff(22589,plain,
% 25.43/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145))))),
% 25.43/17.20 inference(monotonicity,[status(thm)],[22588])).
% 25.43/17.20 tff(22590,plain,
% 25.43/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 25.43/17.20 inference(transitivity,[status(thm)],[22589, 22587])).
% 25.43/17.20 tff(22591,plain,
% 25.43/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))),
% 25.43/17.20 inference(quant_inst,[status(thm)],[])).
% 25.43/17.20 tff(22592,plain,
% 25.43/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145))),
% 25.43/17.20 inference(modus_ponens,[status(thm)],[22591, 22590])).
% 25.43/17.20 tff(22593,plain,
% 25.43/17.20 (v110(constB146) | (~v108(constB145))),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22592, 1082, 22586])).
% 25.43/17.20 tff(22594,plain,
% 25.43/17.20 (v110(constB146)),
% 25.43/17.20 inference(unit_resolution,[status(thm)],[22593, 22583])).
% 25.43/17.20 tff(22595,plain,
% 25.43/17.20 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22596,plain,
% 25.43/17.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22597,plain,
% 25.43/17.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146))),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22596, 22595])).
% 25.43/17.21 tff(22598,plain,
% 25.43/17.21 (~v104(constB146)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22597, 1100, 22586, 22466])).
% 25.43/17.21 tff(22599,plain,
% 25.43/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22600,plain,
% 25.43/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22601,plain,
% 25.43/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v102(constB146) | v104(constB146)),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22600, 22599])).
% 25.43/17.21 tff(22602,plain,
% 25.43/17.21 (v102(constB146) | v104(constB146)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22601, 1114, 22586])).
% 25.43/17.21 tff(22603,plain,
% 25.43/17.21 (v102(constB146)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22602, 22598])).
% 25.43/17.21 tff(22604,plain,
% 25.43/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22605,plain,
% 25.43/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22606,plain,
% 25.43/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146))),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22605, 22604])).
% 25.43/17.21 tff(22607,plain,
% 25.43/17.21 (v101(constB146) | (~v102(constB146))),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22606, 1129, 22586, 438])).
% 25.43/17.21 tff(22608,plain,
% 25.43/17.21 (v101(constB146)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22607, 22603])).
% 25.43/17.21 tff(22609,plain,
% 25.43/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22610,plain,
% 25.43/17.21 (((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146)) <=> ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22611,plain,
% 25.43/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146))))),
% 25.43/17.21 inference(monotonicity,[status(thm)],[22610])).
% 25.43/17.21 tff(22612,plain,
% 25.43/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 25.43/17.21 inference(transitivity,[status(thm)],[22611, 22609])).
% 25.43/17.21 tff(22613,plain,
% 25.43/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22614,plain,
% 25.43/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22613, 22612])).
% 25.43/17.21 tff(22615,plain,
% 25.43/17.21 (v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22614, 1144, 22586])).
% 25.43/17.21 tff(22616,plain,
% 25.43/17.21 (v100(constB146) | (~v110(constB146))),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22615, 22608])).
% 25.43/17.21 tff(22617,plain,
% 25.43/17.21 (v100(constB146)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22616, 22594])).
% 25.43/17.21 tff(22618,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB145)) | (~v90(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB145)) | (~v90(constB145, bitIndex2)))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22619,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB145)) | (~v90(constB145, bitIndex2)))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22620,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB145)) | (~v90(constB145, bitIndex2))),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22619, 22618])).
% 25.43/17.21 tff(22621,plain,
% 25.43/17.21 (~v121(constB145)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22620, 1729, 22490])).
% 25.43/17.21 tff(22622,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB145)) | (~v90(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB145)) | (~v90(constB145, bitIndex1)))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22623,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB145)) | (~v90(constB145, bitIndex1)))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22624,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB145)) | (~v90(constB145, bitIndex1))),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22623, 22622])).
% 25.43/17.21 tff(22625,plain,
% 25.43/17.21 (~v119(constB145)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22624, 1751, 22525])).
% 25.43/17.21 tff(22626,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB145)) | (~v90(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB145)) | (~v90(constB145, bitIndex1)))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22627,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB145)) | (~v90(constB145, bitIndex1)))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22628,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB145)) | (~v90(constB145, bitIndex1))),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22627, 22626])).
% 25.43/17.21 tff(22629,plain,
% 25.43/17.21 (~v120(constB145)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22628, 1762, 22525])).
% 25.43/17.21 tff(22630,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB145)) | (~v90(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB145)) | (~v90(constB145, bitIndex1)))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22631,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB145)) | (~v90(constB145, bitIndex1)))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22632,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB145)) | (~v90(constB145, bitIndex1))),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22631, 22630])).
% 25.43/17.21 tff(22633,plain,
% 25.43/17.21 (~v124(constB145)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22632, 1784, 22525])).
% 25.43/17.21 tff(22634,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB145)) | (~v90(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB145)) | (~v90(constB145, bitIndex1)))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22635,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB145)) | (~v90(constB145, bitIndex1)))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22636,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB145)) | (~v90(constB145, bitIndex1))),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22635, 22634])).
% 25.43/17.21 tff(22637,plain,
% 25.43/17.21 (~v123(constB145)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22636, 1773, 22525])).
% 25.43/17.21 tff(22638,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1)))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22639,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1)))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22640,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1))),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22639, 22638])).
% 25.43/17.21 tff(22641,plain,
% 25.43/17.21 (~v130(constB145, bitIndex1)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22640, 1887, 22494, 22637, 22633, 22629, 22625, 22621])).
% 25.43/17.21 tff(22642,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22643,plain,
% 25.43/17.21 ((v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1))) <=> ((~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22644,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1)))),
% 25.43/17.21 inference(monotonicity,[status(thm)],[22643])).
% 25.43/17.21 tff(22645,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))),
% 25.43/17.21 inference(transitivity,[status(thm)],[22644, 22642])).
% 25.43/17.21 tff(22646,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1)))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22647,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1)),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22646, 22645])).
% 25.43/17.21 tff(22648,plain,
% 25.43/17.21 ((~v127(constB145, bitIndex1)) | v130(constB145, bitIndex1)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22647, 1270, 22571])).
% 25.43/17.21 tff(22649,plain,
% 25.43/17.21 (~v127(constB145, bitIndex1)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22648, 22641])).
% 25.43/17.21 tff(22650,plain,
% 25.43/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1)))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22651,plain,
% 25.43/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1)))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22652,plain,
% 25.43/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1))),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22651, 22650])).
% 25.43/17.21 tff(22653,plain,
% 25.43/17.21 (v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1))),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22652, 1288, 22586])).
% 25.43/17.21 tff(22654,plain,
% 25.43/17.21 (~v129(constB146, bitIndex1)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22653, 22649])).
% 25.43/17.21 tff(22655,plain,
% 25.43/17.21 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22656,plain,
% 25.43/17.21 (((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1)) <=> ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22657,plain,
% 25.43/17.21 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146))))),
% 25.43/17.21 inference(monotonicity,[status(thm)],[22656])).
% 25.43/17.21 tff(22658,plain,
% 25.43/17.21 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))),
% 25.43/17.21 inference(transitivity,[status(thm)],[22657, 22655])).
% 25.43/17.21 tff(22659,plain,
% 25.43/17.21 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22660,plain,
% 25.43/17.21 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146))),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22659, 22658])).
% 25.43/17.21 tff(22661,plain,
% 25.43/17.21 ((~v90(constB146, bitIndex1)) | (~v100(constB146))),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22660, 1303, 22654])).
% 25.43/17.21 tff(22662,plain,
% 25.43/17.21 (~v90(constB146, bitIndex1)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22661, 22617])).
% 25.43/17.21 tff(22663,assumption,(v130(constB145, bitIndex2)), introduced(assumption)).
% 25.43/17.21 tff(22664,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB145)) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB145)) | (~v130(constB145, bitIndex2)))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22665,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB145)) | (~v130(constB145, bitIndex2)))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22666,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB145)) | (~v130(constB145, bitIndex2))),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22665, 22664])).
% 25.43/17.21 tff(22667,plain,
% 25.43/17.21 (~v124(constB145)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22666, 4807, 22663])).
% 25.43/17.21 tff(22668,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB145)) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB145)) | (~v130(constB145, bitIndex2)))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22669,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB145)) | (~v130(constB145, bitIndex2)))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22670,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB145)) | (~v130(constB145, bitIndex2))),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22669, 22668])).
% 25.43/17.21 tff(22671,plain,
% 25.43/17.21 (~v121(constB145)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22670, 2406, 22663])).
% 25.43/17.21 tff(22672,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB145)) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB145)) | (~v130(constB145, bitIndex2)))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22673,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB145)) | (~v130(constB145, bitIndex2)))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22674,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB145)) | (~v130(constB145, bitIndex2))),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22673, 22672])).
% 25.43/17.21 tff(22675,plain,
% 25.43/17.21 (~v120(constB145)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22674, 2231, 22663])).
% 25.43/17.21 tff(22676,assumption,(~v123(constB145)), introduced(assumption)).
% 25.43/17.21 tff(22677,assumption,(~v90(constB145, bitIndex0)), introduced(assumption)).
% 25.43/17.21 tff(22678,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB145)) | v90(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB145)) | v90(constB145, bitIndex0))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22679,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB145)) | v90(constB145, bitIndex0))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22680,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB145)) | v90(constB145, bitIndex0)),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22679, 22678])).
% 25.43/17.21 tff(22681,plain,
% 25.43/17.21 (~v122(constB145)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22680, 3163, 22677])).
% 25.43/17.21 tff(22682,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2)))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22683,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2)))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22684,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2))),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22683, 22682])).
% 25.43/17.21 tff(22685,plain,
% 25.43/17.21 (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22684, 1798, 22663])).
% 25.43/17.21 tff(22686,plain,
% 25.43/17.21 (v119(constB145)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22685, 22681, 22676, 22675, 22671, 22667])).
% 25.43/17.21 tff(22687,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB145)) | (~v90(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB145)) | (~v90(constB145, bitIndex2)))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22688,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB145)) | (~v90(constB145, bitIndex2)))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22689,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB145)) | (~v90(constB145, bitIndex2))),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22688, 22687])).
% 25.43/17.21 tff(22690,plain,
% 25.43/17.21 (~v90(constB145, bitIndex2)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22689, 12236, 22686])).
% 25.43/17.21 tff(22691,plain,
% 25.43/17.21 (~v90(constB144, bitIndex2)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22489, 22690])).
% 25.43/17.21 tff(22692,assumption,(~v112(constB143)), introduced(assumption)).
% 25.43/17.21 tff(22693,plain,
% 25.43/17.21 (~v113(constB143)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22396, 22692])).
% 25.43/17.21 tff(22694,plain,
% 25.43/17.21 (~v114(constB143)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22387, 1036, 22693])).
% 25.43/17.21 tff(22695,plain,
% 25.43/17.21 (~v115(constB143)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22380, 1022, 22694])).
% 25.43/17.21 tff(22696,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB143)) | v115(constB143))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB143)) | v115(constB143))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22697,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB143)) | v115(constB143))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22698,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB143)) | v115(constB143)),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22697, 22696])).
% 25.43/17.21 tff(22699,plain,
% 25.43/17.21 (~v116(constB143)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22698, 1008, 22695])).
% 25.43/17.21 tff(22700,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB143) | (~v117(constB143)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB143) | (~v117(constB143)))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22701,plain,
% 25.43/17.21 (((~v117(constB143)) | v116(constB143)) <=> (v116(constB143) | (~v117(constB143)))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22702,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB143)) | v116(constB143))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB143) | (~v117(constB143))))),
% 25.43/17.21 inference(monotonicity,[status(thm)],[22701])).
% 25.43/17.21 tff(22703,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB143)) | v116(constB143))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB143) | (~v117(constB143)))),
% 25.43/17.21 inference(transitivity,[status(thm)],[22702, 22700])).
% 25.43/17.21 tff(22704,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB143)) | v116(constB143))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22705,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB143) | (~v117(constB143))),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22704, 22703])).
% 25.43/17.21 tff(22706,plain,
% 25.43/17.21 (~v117(constB143)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22705, 994, 22699])).
% 25.43/17.21 tff(22707,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB143) | (~v118(constB143)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB143) | (~v118(constB143)))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22708,plain,
% 25.43/17.21 (((~v118(constB143)) | v117(constB143)) <=> (v117(constB143) | (~v118(constB143)))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22709,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB143)) | v117(constB143))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB143) | (~v118(constB143))))),
% 25.43/17.21 inference(monotonicity,[status(thm)],[22708])).
% 25.43/17.21 tff(22710,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB143)) | v117(constB143))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB143) | (~v118(constB143)))),
% 25.43/17.21 inference(transitivity,[status(thm)],[22709, 22707])).
% 25.43/17.21 tff(22711,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB143)) | v117(constB143))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22712,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB143) | (~v118(constB143))),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22711, 22710])).
% 25.43/17.21 tff(22713,plain,
% 25.43/17.21 (~v118(constB143)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22712, 980, 22706])).
% 25.43/17.21 tff(22714,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB143) | (~v120(constB143)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB143) | (~v120(constB143)))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22715,plain,
% 25.43/17.21 (((~v120(constB143)) | v118(constB143)) <=> (v118(constB143) | (~v120(constB143)))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22716,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB143)) | v118(constB143))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB143) | (~v120(constB143))))),
% 25.43/17.21 inference(monotonicity,[status(thm)],[22715])).
% 25.43/17.21 tff(22717,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB143)) | v118(constB143))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB143) | (~v120(constB143)))),
% 25.43/17.21 inference(transitivity,[status(thm)],[22716, 22714])).
% 25.43/17.21 tff(22718,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB143)) | v118(constB143))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22719,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB143) | (~v120(constB143))),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22718, 22717])).
% 25.43/17.21 tff(22720,plain,
% 25.43/17.21 (~v120(constB143)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22719, 2210, 22713])).
% 25.43/17.21 tff(22721,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB143)) | v116(constB143))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB143)) | v116(constB143))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22722,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB143)) | v116(constB143))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22723,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB143)) | v116(constB143)),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22722, 22721])).
% 25.43/17.21 tff(22724,plain,
% 25.43/17.21 (~v122(constB143)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22723, 2652, 22699])).
% 25.43/17.21 tff(22725,assumption,(~v90(constB144, bitIndex2)), introduced(assumption)).
% 25.43/17.21 tff(22726,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB143)) | v26(constB143) | v112(constB143))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB143)) | v26(constB143) | v112(constB143))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22727,plain,
% 25.43/17.21 ((v26(constB143) | v112(constB143) | (~v108(constB143))) <=> ((~v108(constB143)) | v26(constB143) | v112(constB143))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22728,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB143) | v112(constB143) | (~v108(constB143)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB143)) | v26(constB143) | v112(constB143)))),
% 25.43/17.21 inference(monotonicity,[status(thm)],[22727])).
% 25.43/17.21 tff(22729,plain,
% 25.43/17.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB143) | v112(constB143) | (~v108(constB143)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB143)) | v26(constB143) | v112(constB143))),
% 25.43/17.21 inference(transitivity,[status(thm)],[22728, 22726])).
% 25.43/17.21 tff(22730,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB143) | v112(constB143) | (~v108(constB143)))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22731,plain,
% 25.43/17.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB143)) | v26(constB143) | v112(constB143)),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22730, 22729])).
% 25.43/17.21 tff(22732,plain,
% 25.43/17.21 ((~v108(constB143)) | v112(constB143)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22731, 10792, 22392])).
% 25.43/17.21 tff(22733,plain,
% 25.43/17.21 (~v108(constB143)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22732, 22692])).
% 25.43/17.21 tff(22734,plain,
% 25.43/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB143, constB144)) | (~v110(constB144)) | v108(constB143))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB143, constB144)) | (~v110(constB144)) | v108(constB143))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22735,plain,
% 25.43/17.21 (((~nextState(constB143, constB144)) | v108(constB143) | (~v110(constB144))) <=> ((~nextState(constB143, constB144)) | (~v110(constB144)) | v108(constB143))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22736,plain,
% 25.43/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB143, constB144)) | v108(constB143) | (~v110(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB143, constB144)) | (~v110(constB144)) | v108(constB143)))),
% 25.43/17.21 inference(monotonicity,[status(thm)],[22735])).
% 25.43/17.21 tff(22737,plain,
% 25.43/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB143, constB144)) | v108(constB143) | (~v110(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB143, constB144)) | (~v110(constB144)) | v108(constB143))),
% 25.43/17.21 inference(transitivity,[status(thm)],[22736, 22734])).
% 25.43/17.21 tff(22738,plain,
% 25.43/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB143, constB144)) | v108(constB143) | (~v110(constB144)))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22739,plain,
% 25.43/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB143, constB144)) | (~v110(constB144)) | v108(constB143)),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22738, 22737])).
% 25.43/17.21 tff(22740,plain,
% 25.43/17.21 ((~v110(constB144)) | v108(constB143)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22739, 5614, 22407])).
% 25.43/17.21 tff(22741,plain,
% 25.43/17.21 (~v110(constB144)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22740, 22733])).
% 25.43/17.21 tff(22742,plain,
% 25.43/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB143, constB144)) | v110(constB144) | (~v100(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v100(constB144)))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22743,plain,
% 25.43/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB143, constB144)) | v110(constB144) | (~v100(constB144)))),
% 25.43/17.21 inference(quant_inst,[status(thm)],[])).
% 25.43/17.21 tff(22744,plain,
% 25.43/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v100(constB144))),
% 25.43/17.21 inference(modus_ponens,[status(thm)],[22743, 22742])).
% 25.43/17.21 tff(22745,plain,
% 25.43/17.21 (v110(constB144) | (~v100(constB144))),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22744, 5632, 22407])).
% 25.43/17.21 tff(22746,plain,
% 25.43/17.21 (~v100(constB144)),
% 25.43/17.21 inference(unit_resolution,[status(thm)],[22745, 22741])).
% 25.43/17.21 tff(22747,plain,
% 25.43/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB143, bitIndex2)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB143, bitIndex2)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex2))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22748,plain,
% 25.43/17.21 (((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex2)) | v100(constB144) | v90(constB144, bitIndex2)) <=> ((~v90(constB143, bitIndex2)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex2))),
% 25.43/17.21 inference(rewrite,[status(thm)],[])).
% 25.43/17.21 tff(22749,plain,
% 25.43/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex2)) | v100(constB144) | v90(constB144, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB143, bitIndex2)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex2)))),
% 25.43/17.21 inference(monotonicity,[status(thm)],[22748])).
% 25.43/17.21 tff(22750,plain,
% 25.43/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex2)) | v100(constB144) | v90(constB144, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB143, bitIndex2)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex2))),
% 25.43/17.21 inference(transitivity,[status(thm)],[22749, 22747])).
% 25.43/17.22 tff(22751,plain,
% 25.43/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex2)) | v100(constB144) | v90(constB144, bitIndex2))),
% 25.43/17.22 inference(quant_inst,[status(thm)],[])).
% 25.43/17.22 tff(22752,plain,
% 25.43/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB143, bitIndex2)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex2)),
% 25.43/17.22 inference(modus_ponens,[status(thm)],[22751, 22750])).
% 25.43/17.22 tff(22753,plain,
% 25.43/17.22 ((~v90(constB143, bitIndex2)) | v100(constB144) | v90(constB144, bitIndex2)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22752, 1240, 22407])).
% 25.43/17.22 tff(22754,plain,
% 25.43/17.22 (~v90(constB143, bitIndex2)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22753, 22746, 22725])).
% 25.43/17.22 tff(22755,plain,
% 25.43/17.22 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB143)) | v117(constB143))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB143)) | v117(constB143))),
% 25.43/17.22 inference(rewrite,[status(thm)],[])).
% 25.43/17.22 tff(22756,plain,
% 25.43/17.22 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB143)) | v117(constB143))),
% 25.43/17.22 inference(quant_inst,[status(thm)],[])).
% 25.43/17.22 tff(22757,plain,
% 25.43/17.22 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB143)) | v117(constB143)),
% 25.43/17.22 inference(modus_ponens,[status(thm)],[22756, 22755])).
% 25.43/17.22 tff(22758,plain,
% 25.43/17.22 (~v121(constB143)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22757, 2102, 22706])).
% 25.43/17.22 tff(22759,assumption,(~v121(constB143)), introduced(assumption)).
% 25.43/17.22 tff(22760,assumption,(v90(constB143, bitIndex1)), introduced(assumption)).
% 25.43/17.22 tff(22761,assumption,(~v122(constB143)), introduced(assumption)).
% 25.43/17.22 tff(22762,assumption,(~v90(constB143, bitIndex2)), introduced(assumption)).
% 25.43/17.22 tff(22763,plain,
% 25.43/17.22 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB143, bitIndex0)) | (~v90(constB143, bitIndex1)) | v90(constB143, bitIndex2) | v122(constB143))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB143, bitIndex0)) | (~v90(constB143, bitIndex1)) | v90(constB143, bitIndex2) | v122(constB143))),
% 25.43/17.22 inference(rewrite,[status(thm)],[])).
% 25.43/17.22 tff(22764,plain,
% 25.43/17.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB143, bitIndex0)) | (~v90(constB143, bitIndex1)) | v90(constB143, bitIndex2) | v122(constB143))),
% 25.43/17.22 inference(quant_inst,[status(thm)],[])).
% 25.43/17.22 tff(22765,plain,
% 25.43/17.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB143, bitIndex0)) | (~v90(constB143, bitIndex1)) | v90(constB143, bitIndex2) | v122(constB143)),
% 25.43/17.22 inference(modus_ponens,[status(thm)],[22764, 22763])).
% 25.43/17.22 tff(22766,plain,
% 25.43/17.22 ((~v90(constB143, bitIndex0)) | (~v90(constB143, bitIndex1)) | v122(constB143)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22765, 2641, 22762])).
% 25.43/17.22 tff(22767,plain,
% 25.43/17.22 (~v90(constB143, bitIndex0)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22766, 22760, 22761])).
% 25.43/17.22 tff(22768,plain,
% 25.43/17.22 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB143, bitIndex0) | (~v90(constB143, bitIndex1)) | v90(constB143, bitIndex2) | v121(constB143))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB143, bitIndex0) | (~v90(constB143, bitIndex1)) | v90(constB143, bitIndex2) | v121(constB143))),
% 25.43/17.22 inference(rewrite,[status(thm)],[])).
% 25.43/17.22 tff(22769,plain,
% 25.43/17.22 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB143, bitIndex0) | (~v90(constB143, bitIndex1)) | v90(constB143, bitIndex2) | v121(constB143))),
% 25.43/17.22 inference(quant_inst,[status(thm)],[])).
% 25.43/17.22 tff(22770,plain,
% 25.43/17.22 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB143, bitIndex0) | (~v90(constB143, bitIndex1)) | v90(constB143, bitIndex2) | v121(constB143)),
% 25.43/17.22 inference(modus_ponens,[status(thm)],[22769, 22768])).
% 25.43/17.22 tff(22771,plain,
% 25.43/17.22 (v90(constB143, bitIndex0) | (~v90(constB143, bitIndex1)) | v121(constB143)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22770, 2145, 22762])).
% 25.43/17.22 tff(22772,plain,
% 25.43/17.22 ($false),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22771, 22767, 22760, 22759])).
% 25.43/17.22 tff(22773,plain,((~v90(constB143, bitIndex1)) | v121(constB143) | v90(constB143, bitIndex2) | v122(constB143)), inference(lemma,lemma(discharge,[]))).
% 25.43/17.22 tff(22774,plain,
% 25.43/17.22 (~v90(constB143, bitIndex1)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22773, 22758, 22754, 22724])).
% 25.43/17.22 tff(22775,assumption,(v119(constB143)), introduced(assumption)).
% 25.43/17.22 tff(22776,plain,
% 25.43/17.22 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB143) | (~v119(constB143)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB143) | (~v119(constB143)))),
% 25.43/17.22 inference(rewrite,[status(thm)],[])).
% 25.43/17.22 tff(22777,plain,
% 25.43/17.22 (((~v119(constB143)) | v118(constB143)) <=> (v118(constB143) | (~v119(constB143)))),
% 25.43/17.22 inference(rewrite,[status(thm)],[])).
% 25.43/17.22 tff(22778,plain,
% 25.43/17.22 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB143)) | v118(constB143))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB143) | (~v119(constB143))))),
% 25.43/17.22 inference(monotonicity,[status(thm)],[22777])).
% 25.43/17.22 tff(22779,plain,
% 25.43/17.22 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB143)) | v118(constB143))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB143) | (~v119(constB143)))),
% 25.43/17.22 inference(transitivity,[status(thm)],[22778, 22776])).
% 25.43/17.22 tff(22780,plain,
% 25.43/17.22 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB143)) | v118(constB143))),
% 25.43/17.22 inference(quant_inst,[status(thm)],[])).
% 25.43/17.22 tff(22781,plain,
% 25.43/17.22 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB143) | (~v119(constB143))),
% 25.43/17.22 inference(modus_ponens,[status(thm)],[22780, 22779])).
% 25.43/17.22 tff(22782,plain,
% 25.43/17.22 (v118(constB143)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22781, 969, 22775])).
% 25.43/17.22 tff(22783,plain,
% 25.43/17.22 (v117(constB143)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22712, 980, 22782])).
% 25.43/17.22 tff(22784,plain,
% 25.43/17.22 (v116(constB143)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22705, 994, 22783])).
% 25.43/17.22 tff(22785,plain,
% 25.43/17.22 (v115(constB143)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22698, 1008, 22784])).
% 25.43/17.22 tff(22786,plain,
% 25.43/17.22 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB143)) | v130(constB143, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB143)) | v130(constB143, bitIndex2))),
% 25.43/17.22 inference(rewrite,[status(thm)],[])).
% 25.43/17.22 tff(22787,plain,
% 25.43/17.22 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB143)) | v130(constB143, bitIndex2))),
% 25.43/17.22 inference(quant_inst,[status(thm)],[])).
% 25.43/17.22 tff(22788,plain,
% 25.43/17.22 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB143)) | v130(constB143, bitIndex2)),
% 25.43/17.22 inference(modus_ponens,[status(thm)],[22787, 22786])).
% 25.43/17.22 tff(22789,plain,
% 25.43/17.22 (v130(constB143, bitIndex2)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22788, 1160, 22775])).
% 25.43/17.22 tff(22790,plain,
% 25.43/17.22 (v127(constB143, bitIndex2)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22449, 22789])).
% 25.43/17.22 tff(22791,plain,
% 25.43/17.22 (v129(constB144, bitIndex2)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22454, 22790])).
% 25.43/17.22 tff(22792,plain,
% 25.43/17.22 ((~v129(constB144, bitIndex2)) | (~v100(constB144))),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22461, 1204, 22725])).
% 25.43/17.22 tff(22793,plain,
% 25.43/17.22 (~v100(constB144)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22792, 22791])).
% 25.43/17.22 tff(22794,plain,
% 25.43/17.22 (~v110(constB144)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22440, 22793])).
% 25.43/17.22 tff(22795,plain,
% 25.43/17.22 (~v108(constB143)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22414, 22794])).
% 25.43/17.22 tff(22796,plain,
% 25.43/17.22 (~v112(constB143)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22403, 1062, 22795])).
% 25.43/17.22 tff(22797,plain,
% 25.43/17.22 (~v113(constB143)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22396, 22796])).
% 25.43/17.22 tff(22798,plain,
% 25.43/17.22 (~v114(constB143)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22387, 1036, 22797])).
% 25.43/17.22 tff(22799,plain,
% 25.43/17.22 ($false),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22380, 1022, 22798, 22785])).
% 25.43/17.22 tff(22800,plain,((~v119(constB143)) | v90(constB144, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.43/17.22 tff(22801,plain,
% 25.43/17.22 (~v119(constB143)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22800, 22725])).
% 25.43/17.22 tff(22802,plain,
% 25.43/17.22 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v119(constB143))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v119(constB143))),
% 25.43/17.22 inference(rewrite,[status(thm)],[])).
% 25.43/17.22 tff(22803,plain,
% 25.43/17.22 ((v90(constB143, bitIndex0) | v119(constB143) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2)) <=> (v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v119(constB143))),
% 25.43/17.22 inference(rewrite,[status(thm)],[])).
% 25.43/17.22 tff(22804,plain,
% 25.43/17.22 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB143, bitIndex0) | v119(constB143) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v119(constB143)))),
% 25.43/17.22 inference(monotonicity,[status(thm)],[22803])).
% 25.43/17.22 tff(22805,plain,
% 25.43/17.22 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB143, bitIndex0) | v119(constB143) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v119(constB143))),
% 25.43/17.22 inference(transitivity,[status(thm)],[22804, 22802])).
% 25.43/17.22 tff(22806,plain,
% 25.43/17.22 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB143, bitIndex0) | v119(constB143) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2))),
% 25.43/17.22 inference(quant_inst,[status(thm)],[])).
% 25.43/17.22 tff(22807,plain,
% 25.43/17.22 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v119(constB143)),
% 25.43/17.22 inference(modus_ponens,[status(thm)],[22806, 22805])).
% 25.43/17.22 tff(22808,plain,
% 25.43/17.22 (v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22807, 955, 22801])).
% 25.43/17.22 tff(22809,plain,
% 25.43/17.22 (v90(constB143, bitIndex0)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22808, 22774, 22754])).
% 25.43/17.22 tff(22810,plain,
% 25.43/17.22 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v120(constB143))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v120(constB143))),
% 25.43/17.22 inference(rewrite,[status(thm)],[])).
% 25.43/17.22 tff(22811,plain,
% 25.43/17.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v120(constB143))),
% 25.43/17.22 inference(quant_inst,[status(thm)],[])).
% 25.43/17.22 tff(22812,plain,
% 25.43/17.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v120(constB143)),
% 25.43/17.22 inference(modus_ponens,[status(thm)],[22811, 22810])).
% 25.43/17.22 tff(22813,plain,
% 25.43/17.22 ((~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | v120(constB143)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22812, 2012, 22754])).
% 25.43/17.22 tff(22814,plain,
% 25.43/17.22 ($false),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22813, 22809, 22774, 22720])).
% 25.43/17.22 tff(22815,plain,(v112(constB143) | v90(constB144, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.43/17.22 tff(22816,plain,
% 25.43/17.22 (v112(constB143)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22815, 22691])).
% 25.43/17.22 tff(22817,plain,
% 25.43/17.22 (v108(constB143)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22403, 1062, 22816])).
% 25.43/17.22 tff(22818,plain,
% 25.43/17.22 (v110(constB144)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22414, 22817])).
% 25.43/17.22 tff(22819,plain,
% 25.43/17.22 (v100(constB144)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22440, 22818])).
% 25.43/17.22 tff(22820,plain,
% 25.43/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex0))),
% 25.43/17.22 inference(rewrite,[status(thm)],[])).
% 25.43/17.22 tff(22821,plain,
% 25.43/17.22 (((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex0)) | v100(constB145) | v90(constB145, bitIndex0)) <=> ((~v90(constB144, bitIndex0)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex0))),
% 25.43/17.22 inference(rewrite,[status(thm)],[])).
% 25.43/17.22 tff(22822,plain,
% 25.43/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex0)) | v100(constB145) | v90(constB145, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex0)))),
% 25.43/17.22 inference(monotonicity,[status(thm)],[22821])).
% 25.43/17.22 tff(22823,plain,
% 25.43/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex0)) | v100(constB145) | v90(constB145, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex0))),
% 25.43/17.22 inference(transitivity,[status(thm)],[22822, 22820])).
% 25.43/17.22 tff(22824,plain,
% 25.43/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex0)) | v100(constB145) | v90(constB145, bitIndex0))),
% 25.43/17.22 inference(quant_inst,[status(thm)],[])).
% 25.43/17.22 tff(22825,plain,
% 25.43/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex0)),
% 25.43/17.22 inference(modus_ponens,[status(thm)],[22824, 22823])).
% 25.43/17.22 tff(22826,plain,
% 25.43/17.22 ((~v90(constB144, bitIndex0)) | v100(constB145) | v90(constB145, bitIndex0)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22825, 1993, 22469])).
% 25.43/17.22 tff(22827,plain,
% 25.43/17.22 ((~v90(constB144, bitIndex0)) | v90(constB145, bitIndex0)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22826, 22481])).
% 25.43/17.22 tff(22828,plain,
% 25.43/17.22 (~v90(constB144, bitIndex0)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22827, 22677])).
% 25.43/17.22 tff(22829,plain,
% 25.43/17.22 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~v129(constB144, bitIndex0)) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~v129(constB144, bitIndex0)) | (~v100(constB144)))),
% 25.43/17.22 inference(rewrite,[status(thm)],[])).
% 25.43/17.22 tff(22830,plain,
% 25.43/17.22 ((v90(constB144, bitIndex0) | (~v100(constB144)) | (~v129(constB144, bitIndex0))) <=> (v90(constB144, bitIndex0) | (~v129(constB144, bitIndex0)) | (~v100(constB144)))),
% 25.43/17.22 inference(rewrite,[status(thm)],[])).
% 25.43/17.22 tff(22831,plain,
% 25.43/17.22 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~v100(constB144)) | (~v129(constB144, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~v129(constB144, bitIndex0)) | (~v100(constB144))))),
% 25.43/17.22 inference(monotonicity,[status(thm)],[22830])).
% 25.43/17.22 tff(22832,plain,
% 25.43/17.22 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~v100(constB144)) | (~v129(constB144, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~v129(constB144, bitIndex0)) | (~v100(constB144)))),
% 25.43/17.22 inference(transitivity,[status(thm)],[22831, 22829])).
% 25.43/17.22 tff(22833,plain,
% 25.43/17.22 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~v100(constB144)) | (~v129(constB144, bitIndex0)))),
% 25.43/17.22 inference(quant_inst,[status(thm)],[])).
% 25.43/17.22 tff(22834,plain,
% 25.43/17.22 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~v129(constB144, bitIndex0)) | (~v100(constB144))),
% 25.43/17.22 inference(modus_ponens,[status(thm)],[22833, 22832])).
% 25.43/17.22 tff(22835,plain,
% 25.43/17.22 ((~v129(constB144, bitIndex0)) | (~v100(constB144))),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22834, 1975, 22828])).
% 25.43/17.22 tff(22836,plain,
% 25.43/17.22 (~v129(constB144, bitIndex0)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22835, 22819])).
% 25.43/17.22 tff(22837,plain,
% 25.43/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex0)) | v129(constB144, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex0)) | v129(constB144, bitIndex0))),
% 25.43/17.22 inference(rewrite,[status(thm)],[])).
% 25.43/17.22 tff(22838,plain,
% 25.43/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex0)) | v129(constB144, bitIndex0))),
% 25.43/17.22 inference(quant_inst,[status(thm)],[])).
% 25.43/17.22 tff(22839,plain,
% 25.43/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex0)) | v129(constB144, bitIndex0)),
% 25.43/17.22 inference(modus_ponens,[status(thm)],[22838, 22837])).
% 25.43/17.22 tff(22840,plain,
% 25.43/17.22 ((~v127(constB143, bitIndex0)) | v129(constB144, bitIndex0)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22839, 1960, 22407])).
% 25.43/17.22 tff(22841,plain,
% 25.43/17.22 (~v127(constB143, bitIndex0)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22840, 22836])).
% 25.43/17.22 tff(22842,plain,
% 25.43/17.22 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB143) | (~v130(constB143, bitIndex0)) | v127(constB143, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB143) | (~v130(constB143, bitIndex0)) | v127(constB143, bitIndex0))),
% 25.43/17.22 inference(rewrite,[status(thm)],[])).
% 25.43/17.22 tff(22843,plain,
% 25.43/17.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB143) | (~v130(constB143, bitIndex0)) | v127(constB143, bitIndex0))),
% 25.43/17.22 inference(quant_inst,[status(thm)],[])).
% 25.43/17.22 tff(22844,plain,
% 25.43/17.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB143) | (~v130(constB143, bitIndex0)) | v127(constB143, bitIndex0)),
% 25.43/17.22 inference(modus_ponens,[status(thm)],[22843, 22842])).
% 25.43/17.22 tff(22845,plain,
% 25.43/17.22 ((~v130(constB143, bitIndex0)) | v127(constB143, bitIndex0)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22844, 1945, 22392])).
% 25.43/17.22 tff(22846,plain,
% 25.43/17.22 (~v130(constB143, bitIndex0)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22845, 22841])).
% 25.43/17.22 tff(22847,plain,
% 25.43/17.22 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB143)) | v130(constB143, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB143)) | v130(constB143, bitIndex0))),
% 25.43/17.22 inference(rewrite,[status(thm)],[])).
% 25.43/17.22 tff(22848,plain,
% 25.43/17.22 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB143)) | v130(constB143, bitIndex0))),
% 25.43/17.22 inference(quant_inst,[status(thm)],[])).
% 25.43/17.22 tff(22849,plain,
% 25.43/17.22 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB143)) | v130(constB143, bitIndex0)),
% 25.43/17.22 inference(modus_ponens,[status(thm)],[22848, 22847])).
% 25.43/17.22 tff(22850,plain,
% 25.43/17.22 (~v124(constB143)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22849, 7189, 22846])).
% 25.43/17.22 tff(22851,plain,
% 25.43/17.22 ((~v129(constB144, bitIndex2)) | (~v100(constB144))),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22461, 1204, 22691])).
% 25.43/17.22 tff(22852,plain,
% 25.43/17.22 (~v129(constB144, bitIndex2)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22851, 22819])).
% 25.43/17.22 tff(22853,plain,
% 25.43/17.22 (~v127(constB143, bitIndex2)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22454, 22852])).
% 25.43/17.22 tff(22854,plain,
% 25.43/17.22 (~v130(constB143, bitIndex2)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22449, 22853])).
% 25.43/17.22 tff(22855,plain,
% 25.43/17.22 (~v123(constB143)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22444, 1483, 22854])).
% 25.43/17.22 tff(22856,plain,
% 25.43/17.22 (~v90(constB145, bitIndex1)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22624, 1751, 22686])).
% 25.43/17.22 tff(22857,plain,
% 25.43/17.22 (~v90(constB144, bitIndex1)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22524, 22856])).
% 25.43/17.22 tff(22858,plain,
% 25.43/17.22 ((~v129(constB144, bitIndex1)) | (~v100(constB144))),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22514, 1583, 22857])).
% 25.43/17.22 tff(22859,plain,
% 25.43/17.22 (~v129(constB144, bitIndex1)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22858, 22819])).
% 25.43/17.22 tff(22860,plain,
% 25.43/17.22 (~v127(constB143, bitIndex1)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22507, 22859])).
% 25.43/17.22 tff(22861,plain,
% 25.43/17.22 (~v130(constB143, bitIndex1)),
% 25.43/17.22 inference(unit_resolution,[status(thm)],[22502, 22860])).
% 25.43/17.22 tff(22862,plain,
% 25.43/17.22 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB143)) | v130(constB143, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB143)) | v130(constB143, bitIndex1))),
% 25.51/17.22 inference(rewrite,[status(thm)],[])).
% 25.51/17.22 tff(22863,plain,
% 25.51/17.22 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB143)) | v130(constB143, bitIndex1))),
% 25.51/17.22 inference(quant_inst,[status(thm)],[])).
% 25.51/17.22 tff(22864,plain,
% 25.51/17.22 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB143)) | v130(constB143, bitIndex1)),
% 25.51/17.22 inference(modus_ponens,[status(thm)],[22863, 22862])).
% 25.51/17.22 tff(22865,plain,
% 25.51/17.22 (~v120(constB143)),
% 25.51/17.22 inference(unit_resolution,[status(thm)],[22864, 2034, 22861])).
% 25.51/17.22 tff(22866,plain,
% 25.51/17.22 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB143)) | v130(constB143, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB143)) | v130(constB143, bitIndex0))),
% 25.51/17.22 inference(rewrite,[status(thm)],[])).
% 25.51/17.22 tff(22867,plain,
% 25.51/17.22 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB143)) | v130(constB143, bitIndex0))),
% 25.51/17.22 inference(quant_inst,[status(thm)],[])).
% 25.51/17.22 tff(22868,plain,
% 25.51/17.22 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB143)) | v130(constB143, bitIndex0)),
% 25.51/17.22 inference(modus_ponens,[status(thm)],[22867, 22866])).
% 25.51/17.22 tff(22869,plain,
% 25.51/17.22 (~v121(constB143)),
% 25.51/17.22 inference(unit_resolution,[status(thm)],[22868, 2600, 22846])).
% 25.51/17.22 tff(22870,plain,
% 25.51/17.22 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB143)) | v130(constB143, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB143)) | v130(constB143, bitIndex2))),
% 25.51/17.22 inference(rewrite,[status(thm)],[])).
% 25.51/17.22 tff(22871,plain,
% 25.51/17.22 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB143)) | v130(constB143, bitIndex2))),
% 25.51/17.22 inference(quant_inst,[status(thm)],[])).
% 25.51/17.22 tff(22872,plain,
% 25.51/17.22 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB143)) | v130(constB143, bitIndex2)),
% 25.51/17.22 inference(modus_ponens,[status(thm)],[22871, 22870])).
% 25.51/17.22 tff(22873,plain,
% 25.51/17.22 (~v122(constB143)),
% 25.51/17.22 inference(unit_resolution,[status(thm)],[22872, 2736, 22854])).
% 25.51/17.22 tff(22874,plain,
% 25.51/17.22 (~v119(constB143)),
% 25.51/17.22 inference(unit_resolution,[status(thm)],[22800, 22691])).
% 25.51/17.22 tff(22875,plain,
% 25.51/17.22 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB143) | v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | v130(constB143, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB143) | v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | v130(constB143, bitIndex0))),
% 25.51/17.22 inference(rewrite,[status(thm)],[])).
% 25.51/17.22 tff(22876,plain,
% 25.51/17.22 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB143) | v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | v130(constB143, bitIndex0))),
% 25.51/17.22 inference(quant_inst,[status(thm)],[])).
% 25.51/17.22 tff(22877,plain,
% 25.51/17.22 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB143) | v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | v130(constB143, bitIndex0)),
% 25.51/17.22 inference(modus_ponens,[status(thm)],[22876, 22875])).
% 25.51/17.22 tff(22878,plain,
% 25.51/17.22 (v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143)),
% 25.51/17.22 inference(unit_resolution,[status(thm)],[22877, 1931, 22846, 22874])).
% 25.51/17.22 tff(22879,plain,
% 25.51/17.22 ($false),
% 25.51/17.22 inference(unit_resolution,[status(thm)],[22878, 22873, 22869, 22865, 22855, 22850])).
% 25.51/17.22 tff(22880,plain,(v90(constB145, bitIndex0) | v123(constB145) | (~v130(constB145, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 25.51/17.22 tff(22881,plain,
% 25.51/17.22 (~v130(constB145, bitIndex2)),
% 25.51/17.22 inference(unit_resolution,[status(thm)],[22880, 22637, 22559])).
% 25.51/17.22 tff(22882,plain,
% 25.51/17.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))),
% 25.51/17.22 inference(rewrite,[status(thm)],[])).
% 25.51/17.22 tff(22883,plain,
% 25.51/17.22 ((v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2))) <=> ((~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))),
% 25.51/17.22 inference(rewrite,[status(thm)],[])).
% 25.51/17.22 tff(22884,plain,
% 25.51/17.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2)))),
% 25.51/17.22 inference(monotonicity,[status(thm)],[22883])).
% 25.51/17.22 tff(22885,plain,
% 25.51/17.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))),
% 25.51/17.22 inference(transitivity,[status(thm)],[22884, 22882])).
% 25.51/17.22 tff(22886,plain,
% 25.51/17.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2)))),
% 25.51/17.22 inference(quant_inst,[status(thm)],[])).
% 25.51/17.22 tff(22887,plain,
% 25.51/17.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2)),
% 25.51/17.22 inference(modus_ponens,[status(thm)],[22886, 22885])).
% 25.51/17.22 tff(22888,plain,
% 25.51/17.22 ((~v127(constB145, bitIndex2)) | v130(constB145, bitIndex2)),
% 25.51/17.22 inference(unit_resolution,[status(thm)],[22887, 1812, 22571])).
% 25.51/17.22 tff(22889,plain,
% 25.51/17.22 (~v127(constB145, bitIndex2)),
% 25.51/17.22 inference(unit_resolution,[status(thm)],[22888, 22881])).
% 25.51/17.22 tff(22890,plain,
% 25.51/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2)))),
% 25.51/17.22 inference(rewrite,[status(thm)],[])).
% 25.51/17.22 tff(22891,plain,
% 25.51/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2)))),
% 25.51/17.22 inference(quant_inst,[status(thm)],[])).
% 25.51/17.22 tff(22892,plain,
% 25.51/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2))),
% 25.51/17.22 inference(modus_ponens,[status(thm)],[22891, 22890])).
% 25.51/17.22 tff(22893,plain,
% 25.51/17.22 (v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2))),
% 25.51/17.22 inference(unit_resolution,[status(thm)],[22892, 1830, 22586])).
% 25.51/17.22 tff(22894,plain,
% 25.51/17.22 (~v129(constB146, bitIndex2)),
% 25.51/17.22 inference(unit_resolution,[status(thm)],[22893, 22889])).
% 25.51/17.22 tff(22895,plain,
% 25.51/17.22 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(22896,plain,
% 25.51/17.23 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))),
% 25.51/17.23 inference(quant_inst,[status(thm)],[])).
% 25.51/17.23 tff(22897,plain,
% 25.51/17.23 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146))),
% 25.51/17.23 inference(modus_ponens,[status(thm)],[22896, 22895])).
% 25.51/17.23 tff(22898,plain,
% 25.51/17.23 ((~v90(constB146, bitIndex2)) | (~v100(constB146))),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22897, 1845, 22894])).
% 25.51/17.23 tff(22899,plain,
% 25.51/17.23 (~v90(constB146, bitIndex2)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22898, 22617])).
% 25.51/17.23 tff(22900,assumption,(~v90(constB146, bitIndex2)), introduced(assumption)).
% 25.51/17.23 tff(22901,plain,
% 25.51/17.23 ((~v1(constB147)) <=> (~v1(constB147))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(22902,axiom,(~v1(constB147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_147_1_1')).
% 25.51/17.23 tff(22903,plain,
% 25.51/17.23 (~v1(constB147)),
% 25.51/17.23 inference(modus_ponens,[status(thm)],[22902, 22901])).
% 25.51/17.23 tff(22904,plain,
% 25.51/17.23 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(22905,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_146_1')).
% 25.51/17.23 tff(22906,plain,
% 25.51/17.23 (nextState(constB146, constB147)),
% 25.51/17.23 inference(modus_ponens,[status(thm)],[22905, 22904])).
% 25.51/17.23 tff(22907,plain,
% 25.51/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(22908,plain,
% 25.51/17.23 (((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147)) <=> (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(22909,plain,
% 25.51/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147))))),
% 25.51/17.23 inference(monotonicity,[status(thm)],[22908])).
% 25.51/17.23 tff(22910,plain,
% 25.51/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 25.51/17.23 inference(transitivity,[status(thm)],[22909, 22907])).
% 25.51/17.23 tff(22911,plain,
% 25.51/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))),
% 25.51/17.23 inference(quant_inst,[status(thm)],[])).
% 25.51/17.23 tff(22912,plain,
% 25.51/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147))),
% 25.51/17.23 inference(modus_ponens,[status(thm)],[22911, 22910])).
% 25.51/17.23 tff(22913,plain,
% 25.51/17.23 (~v101(constB147)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22912, 860, 22906, 22903])).
% 25.51/17.23 tff(22914,plain,
% 25.51/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(22915,plain,
% 25.51/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))),
% 25.51/17.23 inference(quant_inst,[status(thm)],[])).
% 25.51/17.23 tff(22916,plain,
% 25.51/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147))),
% 25.51/17.23 inference(modus_ponens,[status(thm)],[22915, 22914])).
% 25.51/17.23 tff(22917,plain,
% 25.51/17.23 (v101(constB147) | (~v100(constB147))),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22916, 877, 22906])).
% 25.51/17.23 tff(22918,plain,
% 25.51/17.23 (~v100(constB147)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22917, 22913])).
% 25.51/17.23 tff(22919,plain,
% 25.51/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(22920,plain,
% 25.51/17.23 (((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2))) <=> (v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(22921,plain,
% 25.51/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2))))),
% 25.51/17.23 inference(monotonicity,[status(thm)],[22920])).
% 25.51/17.23 tff(22922,plain,
% 25.51/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 25.51/17.23 inference(transitivity,[status(thm)],[22921, 22919])).
% 25.51/17.23 tff(22923,plain,
% 25.51/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 25.51/17.23 inference(quant_inst,[status(thm)],[])).
% 25.51/17.23 tff(22924,plain,
% 25.51/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2))),
% 25.51/17.23 inference(modus_ponens,[status(thm)],[22923, 22922])).
% 25.51/17.23 tff(22925,plain,
% 25.51/17.23 (v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2))),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22924, 892, 22906])).
% 25.51/17.23 tff(22926,plain,
% 25.51/17.23 (v90(constB146, bitIndex2) | (~v90(constB147, bitIndex2))),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22925, 22918])).
% 25.51/17.23 tff(22927,plain,
% 25.51/17.23 (~v90(constB147, bitIndex2)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22926, 22900])).
% 25.51/17.23 tff(22928,assumption,(~v90(constB146, bitIndex1)), introduced(assumption)).
% 25.51/17.23 tff(22929,plain,
% 25.51/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(22930,plain,
% 25.51/17.23 (((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1))) <=> (v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(22931,plain,
% 25.51/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1))))),
% 25.51/17.23 inference(monotonicity,[status(thm)],[22930])).
% 25.51/17.23 tff(22932,plain,
% 25.51/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 25.51/17.23 inference(transitivity,[status(thm)],[22931, 22929])).
% 25.51/17.23 tff(22933,plain,
% 25.51/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 25.51/17.23 inference(quant_inst,[status(thm)],[])).
% 25.51/17.23 tff(22934,plain,
% 25.51/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1))),
% 25.51/17.23 inference(modus_ponens,[status(thm)],[22933, 22932])).
% 25.51/17.23 tff(22935,plain,
% 25.51/17.23 (v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1))),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22934, 913, 22906])).
% 25.51/17.23 tff(22936,plain,
% 25.51/17.23 (v90(constB146, bitIndex1) | (~v90(constB147, bitIndex1))),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22935, 22918])).
% 25.51/17.23 tff(22937,plain,
% 25.51/17.23 (~v90(constB147, bitIndex1)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22936, 22928])).
% 25.51/17.23 tff(22938,assumption,(~v120(constB147)), introduced(assumption)).
% 25.51/17.23 tff(22939,plain,
% 25.51/17.23 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(22940,plain,
% 25.51/17.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))),
% 25.51/17.23 inference(quant_inst,[status(thm)],[])).
% 25.51/17.23 tff(22941,plain,
% 25.51/17.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147)),
% 25.51/17.23 inference(modus_ponens,[status(thm)],[22940, 22939])).
% 25.51/17.23 tff(22942,plain,
% 25.51/17.23 ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22941, 2012, 22938])).
% 25.51/17.23 tff(22943,plain,
% 25.51/17.23 (~v90(constB147, bitIndex0)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22942, 22937, 22927])).
% 25.51/17.23 tff(22944,plain,
% 25.51/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(22945,plain,
% 25.51/17.23 (((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0)) <=> ((~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(22946,plain,
% 25.51/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0)))),
% 25.51/17.23 inference(monotonicity,[status(thm)],[22945])).
% 25.51/17.23 tff(22947,plain,
% 25.51/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))),
% 25.51/17.23 inference(transitivity,[status(thm)],[22946, 22944])).
% 25.51/17.23 tff(22948,plain,
% 25.51/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0))),
% 25.51/17.23 inference(quant_inst,[status(thm)],[])).
% 25.51/17.23 tff(22949,plain,
% 25.51/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0)),
% 25.51/17.23 inference(modus_ponens,[status(thm)],[22948, 22947])).
% 25.51/17.23 tff(22950,plain,
% 25.51/17.23 ((~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22949, 1993, 22906])).
% 25.51/17.23 tff(22951,plain,
% 25.51/17.23 ((~v90(constB146, bitIndex0)) | v90(constB147, bitIndex0)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22950, 22918])).
% 25.51/17.23 tff(22952,plain,
% 25.51/17.23 (~v90(constB146, bitIndex0)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22951, 22943])).
% 25.51/17.23 tff(22953,assumption,(~v100(constB146)), introduced(assumption)).
% 25.51/17.23 tff(22954,plain,
% 25.51/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB145, bitIndex2)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB145, bitIndex2)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex2))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(22955,plain,
% 25.51/17.23 (((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex2)) | v100(constB146) | v90(constB146, bitIndex2)) <=> ((~v90(constB145, bitIndex2)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex2))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(22956,plain,
% 25.51/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex2)) | v100(constB146) | v90(constB146, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB145, bitIndex2)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex2)))),
% 25.51/17.23 inference(monotonicity,[status(thm)],[22955])).
% 25.51/17.23 tff(22957,plain,
% 25.51/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex2)) | v100(constB146) | v90(constB146, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB145, bitIndex2)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex2))),
% 25.51/17.23 inference(transitivity,[status(thm)],[22956, 22954])).
% 25.51/17.23 tff(22958,plain,
% 25.51/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex2)) | v100(constB146) | v90(constB146, bitIndex2))),
% 25.51/17.23 inference(quant_inst,[status(thm)],[])).
% 25.51/17.23 tff(22959,plain,
% 25.51/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB145, bitIndex2)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex2)),
% 25.51/17.23 inference(modus_ponens,[status(thm)],[22958, 22957])).
% 25.51/17.23 tff(22960,plain,
% 25.51/17.23 ((~v90(constB145, bitIndex2)) | v100(constB146) | v90(constB146, bitIndex2)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22959, 1240, 22586])).
% 25.51/17.23 tff(22961,plain,
% 25.51/17.23 (~v90(constB145, bitIndex2)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22960, 22953, 22900])).
% 25.51/17.23 tff(22962,plain,
% 25.51/17.23 (~v90(constB144, bitIndex2)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22489, 22961])).
% 25.51/17.23 tff(22963,plain,
% 25.51/17.23 (v112(constB143)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22815, 22962])).
% 25.51/17.23 tff(22964,plain,
% 25.51/17.23 (v108(constB143)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22403, 1062, 22963])).
% 25.51/17.23 tff(22965,plain,
% 25.51/17.23 (v110(constB144)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22414, 22964])).
% 25.51/17.23 tff(22966,plain,
% 25.51/17.23 (v100(constB144)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22440, 22965])).
% 25.51/17.23 tff(22967,plain,
% 25.51/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex1))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(22968,plain,
% 25.51/17.23 (((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex1)) | v100(constB146) | v90(constB146, bitIndex1)) <=> ((~v90(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex1))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(22969,plain,
% 25.51/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex1)) | v100(constB146) | v90(constB146, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex1)))),
% 25.51/17.23 inference(monotonicity,[status(thm)],[22968])).
% 25.51/17.23 tff(22970,plain,
% 25.51/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex1)) | v100(constB146) | v90(constB146, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex1))),
% 25.51/17.23 inference(transitivity,[status(thm)],[22969, 22967])).
% 25.51/17.23 tff(22971,plain,
% 25.51/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex1)) | v100(constB146) | v90(constB146, bitIndex1))),
% 25.51/17.23 inference(quant_inst,[status(thm)],[])).
% 25.51/17.23 tff(22972,plain,
% 25.51/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex1)),
% 25.51/17.23 inference(modus_ponens,[status(thm)],[22971, 22970])).
% 25.51/17.23 tff(22973,plain,
% 25.51/17.23 ((~v90(constB145, bitIndex1)) | v100(constB146) | v90(constB146, bitIndex1)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22972, 1601, 22586])).
% 25.51/17.23 tff(22974,plain,
% 25.51/17.23 (~v90(constB145, bitIndex1)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22973, 22953, 22928])).
% 25.51/17.23 tff(22975,plain,
% 25.51/17.23 (~v90(constB144, bitIndex1)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22524, 22974])).
% 25.51/17.23 tff(22976,plain,
% 25.51/17.23 ((~v129(constB144, bitIndex1)) | (~v100(constB144))),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22514, 1583, 22975])).
% 25.51/17.23 tff(22977,plain,
% 25.51/17.23 (~v129(constB144, bitIndex1)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22976, 22966])).
% 25.51/17.23 tff(22978,plain,
% 25.51/17.23 (~v127(constB143, bitIndex1)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22507, 22977])).
% 25.51/17.23 tff(22979,plain,
% 25.51/17.23 (~v130(constB143, bitIndex1)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22502, 22978])).
% 25.51/17.23 tff(22980,plain,
% 25.51/17.23 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB143)) | v130(constB143, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB143)) | v130(constB143, bitIndex1))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(22981,plain,
% 25.51/17.23 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB143)) | v130(constB143, bitIndex1))),
% 25.51/17.23 inference(quant_inst,[status(thm)],[])).
% 25.51/17.23 tff(22982,plain,
% 25.51/17.23 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB143)) | v130(constB143, bitIndex1)),
% 25.51/17.23 inference(modus_ponens,[status(thm)],[22981, 22980])).
% 25.51/17.23 tff(22983,plain,
% 25.51/17.23 (~v124(constB143)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22982, 4652, 22979])).
% 25.51/17.23 tff(22984,plain,
% 25.51/17.23 (~v123(constB143)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22497, 1539, 22979])).
% 25.51/17.23 tff(22985,plain,
% 25.51/17.23 (~v120(constB143)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22864, 2034, 22979])).
% 25.51/17.23 tff(22986,plain,
% 25.51/17.23 ((~v129(constB144, bitIndex2)) | (~v100(constB144))),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22461, 1204, 22962])).
% 25.51/17.23 tff(22987,plain,
% 25.51/17.23 (~v129(constB144, bitIndex2)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22986, 22966])).
% 25.51/17.23 tff(22988,plain,
% 25.51/17.23 (~v127(constB143, bitIndex2)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22454, 22987])).
% 25.51/17.23 tff(22989,plain,
% 25.51/17.23 (~v130(constB143, bitIndex2)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22449, 22988])).
% 25.51/17.23 tff(22990,plain,
% 25.51/17.23 (~v122(constB143)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22872, 2736, 22989])).
% 25.51/17.23 tff(22991,plain,
% 25.51/17.23 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB143)) | v130(constB143, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB143)) | v130(constB143, bitIndex1))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(22992,plain,
% 25.51/17.23 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB143)) | v130(constB143, bitIndex1))),
% 25.51/17.23 inference(quant_inst,[status(thm)],[])).
% 25.51/17.23 tff(22993,plain,
% 25.51/17.23 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB143)) | v130(constB143, bitIndex1)),
% 25.51/17.23 inference(modus_ponens,[status(thm)],[22992, 22991])).
% 25.51/17.23 tff(22994,plain,
% 25.51/17.23 (~v121(constB143)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22993, 2562, 22979])).
% 25.51/17.23 tff(22995,plain,
% 25.51/17.23 (~v119(constB143)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22800, 22962])).
% 25.51/17.23 tff(22996,plain,
% 25.51/17.23 (v130(constB143, bitIndex0)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22877, 1931, 22995, 22994, 22990, 22985, 22984, 22983])).
% 25.51/17.23 tff(22997,plain,
% 25.51/17.23 (v127(constB143, bitIndex0)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22845, 22996])).
% 25.51/17.23 tff(22998,plain,
% 25.51/17.23 (v129(constB144, bitIndex0)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22840, 22997])).
% 25.51/17.23 tff(22999,plain,
% 25.51/17.23 (v90(constB144, bitIndex0) | (~v129(constB144, bitIndex0))),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22834, 1975, 22966])).
% 25.51/17.23 tff(23000,plain,
% 25.51/17.23 (v90(constB144, bitIndex0)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22999, 22998])).
% 25.51/17.23 tff(23001,plain,
% 25.51/17.23 (v90(constB145, bitIndex0)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22827, 23000])).
% 25.51/17.23 tff(23002,plain,
% 25.51/17.23 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB145, bitIndex0)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | v120(constB145))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB145, bitIndex0)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | v120(constB145))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(23003,plain,
% 25.51/17.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB145, bitIndex0)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | v120(constB145))),
% 25.51/17.23 inference(quant_inst,[status(thm)],[])).
% 25.51/17.23 tff(23004,plain,
% 25.51/17.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB145, bitIndex0)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | v120(constB145)),
% 25.51/17.23 inference(modus_ponens,[status(thm)],[23003, 23002])).
% 25.51/17.23 tff(23005,plain,
% 25.51/17.23 ((~v90(constB145, bitIndex0)) | v120(constB145)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[23004, 2012, 22974, 22961])).
% 25.51/17.23 tff(23006,plain,
% 25.51/17.23 (v120(constB145)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[23005, 23001])).
% 25.51/17.23 tff(23007,plain,
% 25.51/17.23 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB145) | (~v120(constB145)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB145) | (~v120(constB145)))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(23008,plain,
% 25.51/17.23 (((~v120(constB145)) | v118(constB145)) <=> (v118(constB145) | (~v120(constB145)))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(23009,plain,
% 25.51/17.23 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB145)) | v118(constB145))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB145) | (~v120(constB145))))),
% 25.51/17.23 inference(monotonicity,[status(thm)],[23008])).
% 25.51/17.23 tff(23010,plain,
% 25.51/17.23 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB145)) | v118(constB145))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB145) | (~v120(constB145)))),
% 25.51/17.23 inference(transitivity,[status(thm)],[23009, 23007])).
% 25.51/17.23 tff(23011,plain,
% 25.51/17.23 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB145)) | v118(constB145))),
% 25.51/17.23 inference(quant_inst,[status(thm)],[])).
% 25.51/17.23 tff(23012,plain,
% 25.51/17.23 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB145) | (~v120(constB145))),
% 25.51/17.23 inference(modus_ponens,[status(thm)],[23011, 23010])).
% 25.51/17.23 tff(23013,plain,
% 25.51/17.23 (v118(constB145)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[23012, 2210, 23006])).
% 25.51/17.23 tff(23014,plain,
% 25.51/17.23 (~v110(constB146)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22616, 22953])).
% 25.51/17.23 tff(23015,plain,
% 25.51/17.23 (~v108(constB145)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22593, 23014])).
% 25.51/17.23 tff(23016,plain,
% 25.51/17.23 (~v112(constB145)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22582, 1062, 23015])).
% 25.51/17.23 tff(23017,plain,
% 25.51/17.23 (~v113(constB145)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[22575, 23016])).
% 25.51/17.23 tff(23018,plain,
% 25.51/17.23 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB145) | (~v114(constB145)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB145) | (~v114(constB145)))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(23019,plain,
% 25.51/17.23 (((~v114(constB145)) | v113(constB145)) <=> (v113(constB145) | (~v114(constB145)))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(23020,plain,
% 25.51/17.23 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB145)) | v113(constB145))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB145) | (~v114(constB145))))),
% 25.51/17.23 inference(monotonicity,[status(thm)],[23019])).
% 25.51/17.23 tff(23021,plain,
% 25.51/17.23 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB145)) | v113(constB145))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB145) | (~v114(constB145)))),
% 25.51/17.23 inference(transitivity,[status(thm)],[23020, 23018])).
% 25.51/17.23 tff(23022,plain,
% 25.51/17.23 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB145)) | v113(constB145))),
% 25.51/17.23 inference(quant_inst,[status(thm)],[])).
% 25.51/17.23 tff(23023,plain,
% 25.51/17.23 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB145) | (~v114(constB145))),
% 25.51/17.23 inference(modus_ponens,[status(thm)],[23022, 23021])).
% 25.51/17.23 tff(23024,plain,
% 25.51/17.23 (~v114(constB145)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[23023, 1036, 23017])).
% 25.51/17.23 tff(23025,plain,
% 25.51/17.23 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB145) | (~v115(constB145)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB145) | (~v115(constB145)))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(23026,plain,
% 25.51/17.23 (((~v115(constB145)) | v114(constB145)) <=> (v114(constB145) | (~v115(constB145)))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(23027,plain,
% 25.51/17.23 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB145)) | v114(constB145))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB145) | (~v115(constB145))))),
% 25.51/17.23 inference(monotonicity,[status(thm)],[23026])).
% 25.51/17.23 tff(23028,plain,
% 25.51/17.23 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB145)) | v114(constB145))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB145) | (~v115(constB145)))),
% 25.51/17.23 inference(transitivity,[status(thm)],[23027, 23025])).
% 25.51/17.23 tff(23029,plain,
% 25.51/17.23 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB145)) | v114(constB145))),
% 25.51/17.23 inference(quant_inst,[status(thm)],[])).
% 25.51/17.23 tff(23030,plain,
% 25.51/17.23 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB145) | (~v115(constB145))),
% 25.51/17.23 inference(modus_ponens,[status(thm)],[23029, 23028])).
% 25.51/17.23 tff(23031,plain,
% 25.51/17.23 (~v115(constB145)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[23030, 1022, 23024])).
% 25.51/17.23 tff(23032,plain,
% 25.51/17.23 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB145) | (~v116(constB145)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB145) | (~v116(constB145)))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(23033,plain,
% 25.51/17.23 (((~v116(constB145)) | v115(constB145)) <=> (v115(constB145) | (~v116(constB145)))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(23034,plain,
% 25.51/17.23 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB145)) | v115(constB145))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB145) | (~v116(constB145))))),
% 25.51/17.23 inference(monotonicity,[status(thm)],[23033])).
% 25.51/17.23 tff(23035,plain,
% 25.51/17.23 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB145)) | v115(constB145))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB145) | (~v116(constB145)))),
% 25.51/17.23 inference(transitivity,[status(thm)],[23034, 23032])).
% 25.51/17.23 tff(23036,plain,
% 25.51/17.23 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB145)) | v115(constB145))),
% 25.51/17.23 inference(quant_inst,[status(thm)],[])).
% 25.51/17.23 tff(23037,plain,
% 25.51/17.23 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB145) | (~v116(constB145))),
% 25.51/17.23 inference(modus_ponens,[status(thm)],[23036, 23035])).
% 25.51/17.23 tff(23038,plain,
% 25.51/17.23 (~v116(constB145)),
% 25.51/17.23 inference(unit_resolution,[status(thm)],[23037, 1008, 23031])).
% 25.51/17.23 tff(23039,plain,
% 25.51/17.23 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB145) | (~v117(constB145)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB145) | (~v117(constB145)))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(23040,plain,
% 25.51/17.23 (((~v117(constB145)) | v116(constB145)) <=> (v116(constB145) | (~v117(constB145)))),
% 25.51/17.23 inference(rewrite,[status(thm)],[])).
% 25.51/17.23 tff(23041,plain,
% 25.51/17.23 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB145)) | v116(constB145))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB145) | (~v117(constB145))))),
% 25.51/17.24 inference(monotonicity,[status(thm)],[23040])).
% 25.51/17.24 tff(23042,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB145)) | v116(constB145))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB145) | (~v117(constB145)))),
% 25.51/17.24 inference(transitivity,[status(thm)],[23041, 23039])).
% 25.51/17.24 tff(23043,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB145)) | v116(constB145))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23044,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB145) | (~v117(constB145))),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23043, 23042])).
% 25.51/17.24 tff(23045,plain,
% 25.51/17.24 (~v117(constB145)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23044, 994, 23038])).
% 25.51/17.24 tff(23046,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB145)) | v117(constB145))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB145)) | v117(constB145))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23047,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB145)) | v117(constB145))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23048,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB145)) | v117(constB145)),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23047, 23046])).
% 25.51/17.24 tff(23049,plain,
% 25.51/17.24 ($false),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23048, 980, 23045, 23013])).
% 25.51/17.24 tff(23050,plain,(v100(constB146) | v90(constB146, bitIndex2) | v90(constB146, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 25.51/17.24 tff(23051,plain,
% 25.51/17.24 (v100(constB146)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23050, 22928, 22900])).
% 25.51/17.24 tff(23052,plain,
% 25.51/17.24 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23053,plain,
% 25.51/17.24 ((v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0))) <=> (v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23054,plain,
% 25.51/17.24 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146))))),
% 25.51/17.24 inference(monotonicity,[status(thm)],[23053])).
% 25.51/17.24 tff(23055,plain,
% 25.51/17.24 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))),
% 25.51/17.24 inference(transitivity,[status(thm)],[23054, 23052])).
% 25.51/17.24 tff(23056,plain,
% 25.51/17.24 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0)))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23057,plain,
% 25.51/17.24 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146))),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23056, 23055])).
% 25.51/17.24 tff(23058,plain,
% 25.51/17.24 (~v129(constB146, bitIndex0)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23057, 1975, 23051, 22952])).
% 25.51/17.24 tff(23059,plain,
% 25.51/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23060,plain,
% 25.51/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23061,plain,
% 25.51/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0)),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23060, 23059])).
% 25.51/17.24 tff(23062,plain,
% 25.51/17.24 ((~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23061, 1960, 22586])).
% 25.51/17.24 tff(23063,plain,
% 25.51/17.24 (~v127(constB145, bitIndex0)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23062, 23058])).
% 25.51/17.24 tff(23064,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23065,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23066,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0)),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23065, 23064])).
% 25.51/17.24 tff(23067,plain,
% 25.51/17.24 ((~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23066, 1945, 22571])).
% 25.51/17.24 tff(23068,plain,
% 25.51/17.24 (~v130(constB145, bitIndex0)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23067, 23063])).
% 25.51/17.24 tff(23069,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB145)) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB145)) | v130(constB145, bitIndex0))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23070,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB145)) | v130(constB145, bitIndex0))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23071,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB145)) | v130(constB145, bitIndex0)),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23070, 23069])).
% 25.51/17.24 tff(23072,plain,
% 25.51/17.24 (~v124(constB145)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23071, 7189, 23068])).
% 25.51/17.24 tff(23073,plain,
% 25.51/17.24 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~v129(constB146, bitIndex2)) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~v129(constB146, bitIndex2)) | (~v100(constB146)))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23074,plain,
% 25.51/17.24 ((v90(constB146, bitIndex2) | (~v100(constB146)) | (~v129(constB146, bitIndex2))) <=> (v90(constB146, bitIndex2) | (~v129(constB146, bitIndex2)) | (~v100(constB146)))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23075,plain,
% 25.51/17.24 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~v100(constB146)) | (~v129(constB146, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~v129(constB146, bitIndex2)) | (~v100(constB146))))),
% 25.51/17.24 inference(monotonicity,[status(thm)],[23074])).
% 25.51/17.24 tff(23076,plain,
% 25.51/17.24 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~v100(constB146)) | (~v129(constB146, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~v129(constB146, bitIndex2)) | (~v100(constB146)))),
% 25.51/17.24 inference(transitivity,[status(thm)],[23075, 23073])).
% 25.51/17.24 tff(23077,plain,
% 25.51/17.24 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~v100(constB146)) | (~v129(constB146, bitIndex2)))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23078,plain,
% 25.51/17.24 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~v129(constB146, bitIndex2)) | (~v100(constB146))),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23077, 23076])).
% 25.51/17.24 tff(23079,plain,
% 25.51/17.24 ((~v129(constB146, bitIndex2)) | (~v100(constB146))),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23078, 1204, 22900])).
% 25.51/17.24 tff(23080,plain,
% 25.51/17.24 (~v129(constB146, bitIndex2)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23079, 23051])).
% 25.51/17.24 tff(23081,plain,
% 25.51/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex2)) | v129(constB146, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex2)) | v129(constB146, bitIndex2))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23082,plain,
% 25.51/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex2)) | v129(constB146, bitIndex2))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23083,plain,
% 25.51/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex2)) | v129(constB146, bitIndex2)),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23082, 23081])).
% 25.51/17.24 tff(23084,plain,
% 25.51/17.24 ((~v127(constB145, bitIndex2)) | v129(constB146, bitIndex2)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23083, 1189, 22586])).
% 25.51/17.24 tff(23085,plain,
% 25.51/17.24 (~v127(constB145, bitIndex2)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23084, 23080])).
% 25.51/17.24 tff(23086,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB145) | (~v130(constB145, bitIndex2)) | v127(constB145, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB145) | (~v130(constB145, bitIndex2)) | v127(constB145, bitIndex2))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23087,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB145) | (~v130(constB145, bitIndex2)) | v127(constB145, bitIndex2))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23088,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB145) | (~v130(constB145, bitIndex2)) | v127(constB145, bitIndex2)),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23087, 23086])).
% 25.51/17.24 tff(23089,plain,
% 25.51/17.24 ((~v130(constB145, bitIndex2)) | v127(constB145, bitIndex2)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23088, 1174, 22571])).
% 25.51/17.24 tff(23090,plain,
% 25.51/17.24 (~v130(constB145, bitIndex2)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23089, 23085])).
% 25.51/17.24 tff(23091,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB145)) | v130(constB145, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB145)) | v130(constB145, bitIndex2))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23092,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB145)) | v130(constB145, bitIndex2))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23093,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB145)) | v130(constB145, bitIndex2)),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23092, 23091])).
% 25.51/17.24 tff(23094,plain,
% 25.51/17.24 (~v123(constB145)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23093, 1483, 23090])).
% 25.51/17.24 tff(23095,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB145)) | v130(constB145, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB145)) | v130(constB145, bitIndex2))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23096,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB145)) | v130(constB145, bitIndex2))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23097,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB145)) | v130(constB145, bitIndex2)),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23096, 23095])).
% 25.51/17.24 tff(23098,plain,
% 25.51/17.24 (~v119(constB145)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23097, 1160, 23090])).
% 25.51/17.24 tff(23099,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB145)) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB145)) | v130(constB145, bitIndex0))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23100,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB145)) | v130(constB145, bitIndex0))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23101,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB145)) | v130(constB145, bitIndex0)),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23100, 23099])).
% 25.51/17.24 tff(23102,plain,
% 25.51/17.24 (~v121(constB145)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23101, 2600, 23068])).
% 25.51/17.24 tff(23103,plain,
% 25.51/17.24 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~v129(constB146, bitIndex1)) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~v129(constB146, bitIndex1)) | (~v100(constB146)))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23104,plain,
% 25.51/17.24 ((v90(constB146, bitIndex1) | (~v100(constB146)) | (~v129(constB146, bitIndex1))) <=> (v90(constB146, bitIndex1) | (~v129(constB146, bitIndex1)) | (~v100(constB146)))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23105,plain,
% 25.51/17.24 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~v100(constB146)) | (~v129(constB146, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~v129(constB146, bitIndex1)) | (~v100(constB146))))),
% 25.51/17.24 inference(monotonicity,[status(thm)],[23104])).
% 25.51/17.24 tff(23106,plain,
% 25.51/17.24 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~v100(constB146)) | (~v129(constB146, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~v129(constB146, bitIndex1)) | (~v100(constB146)))),
% 25.51/17.24 inference(transitivity,[status(thm)],[23105, 23103])).
% 25.51/17.24 tff(23107,plain,
% 25.51/17.24 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~v100(constB146)) | (~v129(constB146, bitIndex1)))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23108,plain,
% 25.51/17.24 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~v129(constB146, bitIndex1)) | (~v100(constB146))),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23107, 23106])).
% 25.51/17.24 tff(23109,plain,
% 25.51/17.24 (~v129(constB146, bitIndex1)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23108, 1583, 23051, 22928])).
% 25.51/17.24 tff(23110,plain,
% 25.51/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex1)) | v129(constB146, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex1)) | v129(constB146, bitIndex1))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23111,plain,
% 25.51/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex1)) | v129(constB146, bitIndex1))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23112,plain,
% 25.51/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex1)) | v129(constB146, bitIndex1)),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23111, 23110])).
% 25.51/17.24 tff(23113,plain,
% 25.51/17.24 ((~v127(constB145, bitIndex1)) | v129(constB146, bitIndex1)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23112, 1568, 22586])).
% 25.51/17.24 tff(23114,plain,
% 25.51/17.24 (~v127(constB145, bitIndex1)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23113, 23109])).
% 25.51/17.24 tff(23115,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB145) | (~v130(constB145, bitIndex1)) | v127(constB145, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB145) | (~v130(constB145, bitIndex1)) | v127(constB145, bitIndex1))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23116,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB145) | (~v130(constB145, bitIndex1)) | v127(constB145, bitIndex1))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23117,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB145) | (~v130(constB145, bitIndex1)) | v127(constB145, bitIndex1)),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23116, 23115])).
% 25.51/17.24 tff(23118,plain,
% 25.51/17.24 ((~v130(constB145, bitIndex1)) | v127(constB145, bitIndex1)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23117, 1553, 22571])).
% 25.51/17.24 tff(23119,plain,
% 25.51/17.24 (~v130(constB145, bitIndex1)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23118, 23114])).
% 25.51/17.24 tff(23120,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB145)) | v130(constB145, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB145)) | v130(constB145, bitIndex1))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23121,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB145)) | v130(constB145, bitIndex1))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23122,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB145)) | v130(constB145, bitIndex1)),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23121, 23120])).
% 25.51/17.24 tff(23123,plain,
% 25.51/17.24 (~v120(constB145)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23122, 2034, 23119])).
% 25.51/17.24 tff(23124,assumption,(~v122(constB145)), introduced(assumption)).
% 25.51/17.24 tff(23125,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23126,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23127,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0)),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23126, 23125])).
% 25.51/17.24 tff(23128,plain,
% 25.51/17.24 (v119(constB145) | v120(constB145) | v121(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23127, 1931, 23124])).
% 25.51/17.24 tff(23129,plain,
% 25.51/17.24 ($false),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23128, 23123, 23102, 23098, 23068, 23094, 23072])).
% 25.51/17.24 tff(23130,plain,(v90(constB146, bitIndex1) | v122(constB145) | v90(constB146, bitIndex2) | v120(constB147)), inference(lemma,lemma(discharge,[]))).
% 25.51/17.24 tff(23131,plain,
% 25.51/17.24 (v120(constB147)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23130, 22899, 22662, 22494])).
% 25.51/17.24 tff(23132,assumption,(v120(constB147)), introduced(assumption)).
% 25.51/17.24 tff(23133,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB147)) | v118(constB147))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB147)) | v118(constB147))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23134,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB147)) | v118(constB147))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23135,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB147)) | v118(constB147)),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23134, 23133])).
% 25.51/17.24 tff(23136,plain,
% 25.51/17.24 (v118(constB147)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23135, 2210, 23132])).
% 25.51/17.24 tff(23137,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB147)) | v117(constB147))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB147)) | v117(constB147))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23138,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB147)) | v117(constB147))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23139,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB147)) | v117(constB147)),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23138, 23137])).
% 25.51/17.24 tff(23140,plain,
% 25.51/17.24 (v117(constB147)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23139, 980, 23136])).
% 25.51/17.24 tff(23141,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB147) | (~v117(constB147)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB147) | (~v117(constB147)))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23142,plain,
% 25.51/17.24 (((~v117(constB147)) | v116(constB147)) <=> (v116(constB147) | (~v117(constB147)))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23143,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB147)) | v116(constB147))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB147) | (~v117(constB147))))),
% 25.51/17.24 inference(monotonicity,[status(thm)],[23142])).
% 25.51/17.24 tff(23144,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB147)) | v116(constB147))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB147) | (~v117(constB147)))),
% 25.51/17.24 inference(transitivity,[status(thm)],[23143, 23141])).
% 25.51/17.24 tff(23145,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB147)) | v116(constB147))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23146,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB147) | (~v117(constB147))),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23145, 23144])).
% 25.51/17.24 tff(23147,plain,
% 25.51/17.24 (v116(constB147)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23146, 994, 23140])).
% 25.51/17.24 tff(23148,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB147)) | v115(constB147))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB147)) | v115(constB147))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23149,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB147)) | v115(constB147))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23150,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB147)) | v115(constB147)),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23149, 23148])).
% 25.51/17.24 tff(23151,plain,
% 25.51/17.24 (v115(constB147)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23150, 1008, 23147])).
% 25.51/17.24 tff(23152,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB147) | (~v115(constB147)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB147) | (~v115(constB147)))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23153,plain,
% 25.51/17.24 (((~v115(constB147)) | v114(constB147)) <=> (v114(constB147) | (~v115(constB147)))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23154,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB147)) | v114(constB147))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB147) | (~v115(constB147))))),
% 25.51/17.24 inference(monotonicity,[status(thm)],[23153])).
% 25.51/17.24 tff(23155,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB147)) | v114(constB147))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB147) | (~v115(constB147)))),
% 25.51/17.24 inference(transitivity,[status(thm)],[23154, 23152])).
% 25.51/17.24 tff(23156,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB147)) | v114(constB147))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23157,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB147) | (~v115(constB147))),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23156, 23155])).
% 25.51/17.24 tff(23158,plain,
% 25.51/17.24 (v114(constB147)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23157, 1022, 23151])).
% 25.51/17.24 tff(23159,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB147)) | v113(constB147))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB147)) | v113(constB147))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23160,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB147)) | v113(constB147))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23161,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB147)) | v113(constB147)),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23160, 23159])).
% 25.51/17.24 tff(23162,plain,
% 25.51/17.24 (v113(constB147)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23161, 1036, 23158])).
% 25.51/17.24 tff(23163,assumption,(v26(constB147)), introduced(assumption)).
% 25.51/17.24 tff(23164,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB147))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23165,plain,
% 25.51/17.24 ($false),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23164, 797, 23163])).
% 25.51/17.24 tff(23166,plain,(~v26(constB147)), inference(lemma,lemma(discharge,[]))).
% 25.51/17.24 tff(23167,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | v112(constB147) | (~v113(constB147)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | v112(constB147) | (~v113(constB147)))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23168,plain,
% 25.51/17.24 ((v26(constB147) | (~v113(constB147)) | v112(constB147)) <=> (v26(constB147) | v112(constB147) | (~v113(constB147)))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23169,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | v112(constB147) | (~v113(constB147))))),
% 25.51/17.24 inference(monotonicity,[status(thm)],[23168])).
% 25.51/17.24 tff(23170,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | v112(constB147) | (~v113(constB147)))),
% 25.51/17.24 inference(transitivity,[status(thm)],[23169, 23167])).
% 25.51/17.24 tff(23171,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23172,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | v112(constB147) | (~v113(constB147))),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23171, 23170])).
% 25.51/17.24 tff(23173,plain,
% 25.51/17.24 (v112(constB147) | (~v113(constB147))),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23172, 1050, 23166])).
% 25.51/17.24 tff(23174,plain,
% 25.51/17.24 (v112(constB147)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23173, 23162])).
% 25.51/17.24 tff(23175,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB147) | (~v112(constB147)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB147) | (~v112(constB147)))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23176,plain,
% 25.51/17.24 (((~v112(constB147)) | v108(constB147)) <=> (v108(constB147) | (~v112(constB147)))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23177,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB147)) | v108(constB147))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB147) | (~v112(constB147))))),
% 25.51/17.24 inference(monotonicity,[status(thm)],[23176])).
% 25.51/17.24 tff(23178,plain,
% 25.51/17.24 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB147)) | v108(constB147))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB147) | (~v112(constB147)))),
% 25.51/17.24 inference(transitivity,[status(thm)],[23177, 23175])).
% 25.51/17.24 tff(23179,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB147)) | v108(constB147))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23180,plain,
% 25.51/17.24 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB147) | (~v112(constB147))),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23179, 23178])).
% 25.51/17.24 tff(23181,plain,
% 25.51/17.24 (v108(constB147)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23180, 1062, 23174])).
% 25.51/17.24 tff(23182,plain,
% 25.51/17.24 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23183,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_147_1')).
% 25.51/17.24 tff(23184,plain,
% 25.51/17.24 (nextState(constB147, constB148)),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23183, 23182])).
% 25.51/17.24 tff(23185,plain,
% 25.51/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23186,plain,
% 25.51/17.24 (((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148)) <=> ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 25.51/17.24 inference(rewrite,[status(thm)],[])).
% 25.51/17.24 tff(23187,plain,
% 25.51/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147))))),
% 25.51/17.24 inference(monotonicity,[status(thm)],[23186])).
% 25.51/17.24 tff(23188,plain,
% 25.51/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 25.51/17.24 inference(transitivity,[status(thm)],[23187, 23185])).
% 25.51/17.24 tff(23189,plain,
% 25.51/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))),
% 25.51/17.24 inference(quant_inst,[status(thm)],[])).
% 25.51/17.24 tff(23190,plain,
% 25.51/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147))),
% 25.51/17.24 inference(modus_ponens,[status(thm)],[23189, 23188])).
% 25.51/17.24 tff(23191,plain,
% 25.51/17.24 (v110(constB148) | (~v108(constB147))),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23190, 1082, 23184])).
% 25.51/17.24 tff(23192,plain,
% 25.51/17.24 (v110(constB148)),
% 25.51/17.24 inference(unit_resolution,[status(thm)],[23191, 23181])).
% 25.51/17.24 tff(23193,plain,
% 25.51/17.24 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23194,plain,
% 25.51/17.25 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))),
% 25.51/17.25 inference(quant_inst,[status(thm)],[])).
% 25.51/17.25 tff(23195,plain,
% 25.51/17.25 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148))),
% 25.51/17.25 inference(modus_ponens,[status(thm)],[23194, 23193])).
% 25.51/17.25 tff(23196,plain,
% 25.51/17.25 (~v104(constB148)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23195, 1100, 23184, 22903])).
% 25.51/17.25 tff(23197,plain,
% 25.51/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23198,plain,
% 25.51/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))),
% 25.51/17.25 inference(quant_inst,[status(thm)],[])).
% 25.51/17.25 tff(23199,plain,
% 25.51/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v102(constB148) | v104(constB148)),
% 25.51/17.25 inference(modus_ponens,[status(thm)],[23198, 23197])).
% 25.51/17.25 tff(23200,plain,
% 25.51/17.25 (v102(constB148) | v104(constB148)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23199, 1114, 23184])).
% 25.51/17.25 tff(23201,plain,
% 25.51/17.25 (v102(constB148)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23200, 23196])).
% 25.51/17.25 tff(23202,plain,
% 25.51/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23203,plain,
% 25.51/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))),
% 25.51/17.25 inference(quant_inst,[status(thm)],[])).
% 25.51/17.25 tff(23204,plain,
% 25.51/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148))),
% 25.51/17.25 inference(modus_ponens,[status(thm)],[23203, 23202])).
% 25.51/17.25 tff(23205,plain,
% 25.51/17.25 (v101(constB148) | (~v102(constB148))),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23204, 1129, 23184, 526])).
% 25.51/17.25 tff(23206,plain,
% 25.51/17.25 (v101(constB148)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23205, 23201])).
% 25.51/17.25 tff(23207,plain,
% 25.51/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23208,plain,
% 25.51/17.25 (((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148)) <=> ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23209,plain,
% 25.51/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148))))),
% 25.51/17.25 inference(monotonicity,[status(thm)],[23208])).
% 25.51/17.25 tff(23210,plain,
% 25.51/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 25.51/17.25 inference(transitivity,[status(thm)],[23209, 23207])).
% 25.51/17.25 tff(23211,plain,
% 25.51/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))),
% 25.51/17.25 inference(quant_inst,[status(thm)],[])).
% 25.51/17.25 tff(23212,plain,
% 25.51/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 25.51/17.25 inference(modus_ponens,[status(thm)],[23211, 23210])).
% 25.51/17.25 tff(23213,plain,
% 25.51/17.25 (v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23212, 1144, 23184])).
% 25.51/17.25 tff(23214,plain,
% 25.51/17.25 (v100(constB148) | (~v110(constB148))),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23213, 23206])).
% 25.51/17.25 tff(23215,plain,
% 25.51/17.25 (v100(constB148)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23214, 23192])).
% 25.51/17.25 tff(23216,plain,
% 25.51/17.25 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB147)) | (~v130(constB147, bitIndex2)))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23217,plain,
% 25.51/17.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex2)))),
% 25.51/17.25 inference(quant_inst,[status(thm)],[])).
% 25.51/17.25 tff(23218,plain,
% 25.51/17.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB147)) | (~v130(constB147, bitIndex2))),
% 25.51/17.25 inference(modus_ponens,[status(thm)],[23217, 23216])).
% 25.51/17.25 tff(23219,plain,
% 25.51/17.25 (~v130(constB147, bitIndex2)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23218, 2231, 23132])).
% 25.51/17.25 tff(23220,plain,
% 25.51/17.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23221,plain,
% 25.51/17.25 ((v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2))) <=> ((~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23222,plain,
% 25.51/17.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2)))),
% 25.51/17.25 inference(monotonicity,[status(thm)],[23221])).
% 25.51/17.25 tff(23223,plain,
% 25.51/17.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))),
% 25.51/17.25 inference(transitivity,[status(thm)],[23222, 23220])).
% 25.51/17.25 tff(23224,plain,
% 25.51/17.25 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2)))),
% 25.51/17.25 inference(quant_inst,[status(thm)],[])).
% 25.51/17.25 tff(23225,plain,
% 25.51/17.25 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2)),
% 25.51/17.25 inference(modus_ponens,[status(thm)],[23224, 23223])).
% 25.51/17.25 tff(23226,plain,
% 25.51/17.25 ((~v127(constB147, bitIndex2)) | v130(constB147, bitIndex2)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23225, 1812, 23166])).
% 25.51/17.25 tff(23227,plain,
% 25.51/17.25 (~v127(constB147, bitIndex2)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23226, 23219])).
% 25.51/17.25 tff(23228,plain,
% 25.51/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2)))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23229,plain,
% 25.51/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2)))),
% 25.51/17.25 inference(quant_inst,[status(thm)],[])).
% 25.51/17.25 tff(23230,plain,
% 25.51/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2))),
% 25.51/17.25 inference(modus_ponens,[status(thm)],[23229, 23228])).
% 25.51/17.25 tff(23231,plain,
% 25.51/17.25 (v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2))),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23230, 1830, 23184])).
% 25.51/17.25 tff(23232,plain,
% 25.51/17.25 (~v129(constB148, bitIndex2)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23231, 23227])).
% 25.51/17.25 tff(23233,plain,
% 25.51/17.25 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23234,plain,
% 25.51/17.25 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))),
% 25.51/17.25 inference(quant_inst,[status(thm)],[])).
% 25.51/17.25 tff(23235,plain,
% 25.51/17.25 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148))),
% 25.51/17.25 inference(modus_ponens,[status(thm)],[23234, 23233])).
% 25.51/17.25 tff(23236,plain,
% 25.51/17.25 ((~v90(constB148, bitIndex2)) | (~v100(constB148))),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23235, 1845, 23232])).
% 25.51/17.25 tff(23237,plain,
% 25.51/17.25 (~v90(constB148, bitIndex2)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23236, 23215])).
% 25.51/17.25 tff(23238,plain,
% 25.51/17.25 ((~v1(constB149)) <=> (~v1(constB149))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23239,axiom,(~v1(constB149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_149_1_1')).
% 25.51/17.25 tff(23240,plain,
% 25.51/17.25 (~v1(constB149)),
% 25.51/17.25 inference(modus_ponens,[status(thm)],[23239, 23238])).
% 25.51/17.25 tff(23241,plain,
% 25.51/17.25 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23242,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_148_1')).
% 25.51/17.25 tff(23243,plain,
% 25.51/17.25 (nextState(constB148, constB149)),
% 25.51/17.25 inference(modus_ponens,[status(thm)],[23242, 23241])).
% 25.51/17.25 tff(23244,plain,
% 25.51/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23245,plain,
% 25.51/17.25 (((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149)) <=> (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23246,plain,
% 25.51/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149))))),
% 25.51/17.25 inference(monotonicity,[status(thm)],[23245])).
% 25.51/17.25 tff(23247,plain,
% 25.51/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 25.51/17.25 inference(transitivity,[status(thm)],[23246, 23244])).
% 25.51/17.25 tff(23248,plain,
% 25.51/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))),
% 25.51/17.25 inference(quant_inst,[status(thm)],[])).
% 25.51/17.25 tff(23249,plain,
% 25.51/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149))),
% 25.51/17.25 inference(modus_ponens,[status(thm)],[23248, 23247])).
% 25.51/17.25 tff(23250,plain,
% 25.51/17.25 (~v101(constB149)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23249, 860, 23243, 23240])).
% 25.51/17.25 tff(23251,plain,
% 25.51/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23252,plain,
% 25.51/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))),
% 25.51/17.25 inference(quant_inst,[status(thm)],[])).
% 25.51/17.25 tff(23253,plain,
% 25.51/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149))),
% 25.51/17.25 inference(modus_ponens,[status(thm)],[23252, 23251])).
% 25.51/17.25 tff(23254,plain,
% 25.51/17.25 (v101(constB149) | (~v100(constB149))),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23253, 877, 23243])).
% 25.51/17.25 tff(23255,plain,
% 25.51/17.25 (~v100(constB149)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23254, 23250])).
% 25.51/17.25 tff(23256,plain,
% 25.51/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23257,plain,
% 25.51/17.25 (((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2))) <=> (v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23258,plain,
% 25.51/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2))))),
% 25.51/17.25 inference(monotonicity,[status(thm)],[23257])).
% 25.51/17.25 tff(23259,plain,
% 25.51/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 25.51/17.25 inference(transitivity,[status(thm)],[23258, 23256])).
% 25.51/17.25 tff(23260,plain,
% 25.51/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 25.51/17.25 inference(quant_inst,[status(thm)],[])).
% 25.51/17.25 tff(23261,plain,
% 25.51/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2))),
% 25.51/17.25 inference(modus_ponens,[status(thm)],[23260, 23259])).
% 25.51/17.25 tff(23262,plain,
% 25.51/17.25 (v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2))),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23261, 892, 23243])).
% 25.51/17.25 tff(23263,plain,
% 25.51/17.25 (v90(constB148, bitIndex2) | (~v90(constB149, bitIndex2))),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23262, 23255])).
% 25.51/17.25 tff(23264,plain,
% 25.51/17.25 (~v90(constB149, bitIndex2)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23263, 23237])).
% 25.51/17.25 tff(23265,plain,
% 25.51/17.25 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB147)) | v130(constB147, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB147)) | v130(constB147, bitIndex1))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23266,plain,
% 25.51/17.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB147)) | v130(constB147, bitIndex1))),
% 25.51/17.25 inference(quant_inst,[status(thm)],[])).
% 25.51/17.25 tff(23267,plain,
% 25.51/17.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB147)) | v130(constB147, bitIndex1)),
% 25.51/17.25 inference(modus_ponens,[status(thm)],[23266, 23265])).
% 25.51/17.25 tff(23268,plain,
% 25.51/17.25 (v130(constB147, bitIndex1)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23267, 2034, 23132])).
% 25.51/17.25 tff(23269,plain,
% 25.51/17.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23270,plain,
% 25.51/17.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1))),
% 25.51/17.25 inference(quant_inst,[status(thm)],[])).
% 25.51/17.25 tff(23271,plain,
% 25.51/17.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1)),
% 25.51/17.25 inference(modus_ponens,[status(thm)],[23270, 23269])).
% 25.51/17.25 tff(23272,plain,
% 25.51/17.25 ((~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23271, 1553, 23166])).
% 25.51/17.25 tff(23273,plain,
% 25.51/17.25 (v127(constB147, bitIndex1)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23272, 23268])).
% 25.51/17.25 tff(23274,plain,
% 25.51/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23275,plain,
% 25.51/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1))),
% 25.51/17.25 inference(quant_inst,[status(thm)],[])).
% 25.51/17.25 tff(23276,plain,
% 25.51/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1)),
% 25.51/17.25 inference(modus_ponens,[status(thm)],[23275, 23274])).
% 25.51/17.25 tff(23277,plain,
% 25.51/17.25 ((~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23276, 1568, 23184])).
% 25.51/17.25 tff(23278,plain,
% 25.51/17.25 (v129(constB148, bitIndex1)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23277, 23273])).
% 25.51/17.25 tff(23279,plain,
% 25.51/17.25 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23280,plain,
% 25.51/17.25 ((v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1))) <=> (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23281,plain,
% 25.51/17.25 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148))))),
% 25.51/17.25 inference(monotonicity,[status(thm)],[23280])).
% 25.51/17.25 tff(23282,plain,
% 25.51/17.25 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))),
% 25.51/17.25 inference(transitivity,[status(thm)],[23281, 23279])).
% 25.51/17.25 tff(23283,plain,
% 25.51/17.25 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1)))),
% 25.51/17.25 inference(quant_inst,[status(thm)],[])).
% 25.51/17.25 tff(23284,plain,
% 25.51/17.25 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148))),
% 25.51/17.25 inference(modus_ponens,[status(thm)],[23283, 23282])).
% 25.51/17.25 tff(23285,plain,
% 25.51/17.25 (v90(constB148, bitIndex1) | (~v100(constB148))),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23284, 1583, 23278])).
% 25.51/17.25 tff(23286,plain,
% 25.51/17.25 (v90(constB148, bitIndex1)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23285, 23215])).
% 25.51/17.25 tff(23287,plain,
% 25.51/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23288,plain,
% 25.51/17.25 (((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1)) <=> ((~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23289,plain,
% 25.51/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1)))),
% 25.51/17.25 inference(monotonicity,[status(thm)],[23288])).
% 25.51/17.25 tff(23290,plain,
% 25.51/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))),
% 25.51/17.25 inference(transitivity,[status(thm)],[23289, 23287])).
% 25.51/17.25 tff(23291,plain,
% 25.51/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1))),
% 25.51/17.25 inference(quant_inst,[status(thm)],[])).
% 25.51/17.25 tff(23292,plain,
% 25.51/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1)),
% 25.51/17.25 inference(modus_ponens,[status(thm)],[23291, 23290])).
% 25.51/17.25 tff(23293,plain,
% 25.51/17.25 ((~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23292, 1601, 23243])).
% 25.51/17.25 tff(23294,plain,
% 25.51/17.25 ((~v90(constB148, bitIndex1)) | v90(constB149, bitIndex1)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23293, 23255])).
% 25.51/17.25 tff(23295,plain,
% 25.51/17.25 (v90(constB149, bitIndex1)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23294, 23286])).
% 25.51/17.25 tff(23296,plain,
% 25.51/17.25 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB147)) | (~v130(constB147, bitIndex0)))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23297,plain,
% 25.51/17.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex0)))),
% 25.51/17.25 inference(quant_inst,[status(thm)],[])).
% 25.51/17.25 tff(23298,plain,
% 25.51/17.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB147)) | (~v130(constB147, bitIndex0))),
% 25.51/17.25 inference(modus_ponens,[status(thm)],[23297, 23296])).
% 25.51/17.25 tff(23299,plain,
% 25.51/17.25 (~v130(constB147, bitIndex0)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23298, 2023, 23132])).
% 25.51/17.25 tff(23300,plain,
% 25.51/17.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23301,plain,
% 25.51/17.25 ((v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0))) <=> ((~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23302,plain,
% 25.51/17.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0)))),
% 25.51/17.25 inference(monotonicity,[status(thm)],[23301])).
% 25.51/17.25 tff(23303,plain,
% 25.51/17.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))),
% 25.51/17.25 inference(transitivity,[status(thm)],[23302, 23300])).
% 25.51/17.25 tff(23304,plain,
% 25.51/17.25 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0)))),
% 25.51/17.25 inference(quant_inst,[status(thm)],[])).
% 25.51/17.25 tff(23305,plain,
% 25.51/17.25 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0)),
% 25.51/17.25 inference(modus_ponens,[status(thm)],[23304, 23303])).
% 25.51/17.25 tff(23306,plain,
% 25.51/17.25 ((~v127(constB147, bitIndex0)) | v130(constB147, bitIndex0)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23305, 1341, 23166])).
% 25.51/17.25 tff(23307,plain,
% 25.51/17.25 (~v127(constB147, bitIndex0)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23306, 23299])).
% 25.51/17.25 tff(23308,plain,
% 25.51/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0)))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23309,plain,
% 25.51/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0)))),
% 25.51/17.25 inference(quant_inst,[status(thm)],[])).
% 25.51/17.25 tff(23310,plain,
% 25.51/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0))),
% 25.51/17.25 inference(modus_ponens,[status(thm)],[23309, 23308])).
% 25.51/17.25 tff(23311,plain,
% 25.51/17.25 (v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0))),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23310, 1359, 23184])).
% 25.51/17.25 tff(23312,plain,
% 25.51/17.25 (~v129(constB148, bitIndex0)),
% 25.51/17.25 inference(unit_resolution,[status(thm)],[23311, 23307])).
% 25.51/17.25 tff(23313,plain,
% 25.51/17.25 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23314,plain,
% 25.51/17.25 (((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0)) <=> ((~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))),
% 25.51/17.25 inference(rewrite,[status(thm)],[])).
% 25.51/17.25 tff(23315,plain,
% 25.51/17.25 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148))))),
% 25.51/17.25 inference(monotonicity,[status(thm)],[23314])).
% 25.51/17.25 tff(23316,plain,
% 25.51/17.25 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))),
% 25.51/17.26 inference(transitivity,[status(thm)],[23315, 23313])).
% 25.51/17.26 tff(23317,plain,
% 25.51/17.26 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0))),
% 25.51/17.26 inference(quant_inst,[status(thm)],[])).
% 25.51/17.26 tff(23318,plain,
% 25.51/17.26 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148))),
% 25.51/17.26 inference(modus_ponens,[status(thm)],[23317, 23316])).
% 25.51/17.26 tff(23319,plain,
% 25.51/17.26 ((~v90(constB148, bitIndex0)) | (~v100(constB148))),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23318, 1374, 23312])).
% 25.51/17.26 tff(23320,plain,
% 25.51/17.26 (~v90(constB148, bitIndex0)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23319, 23215])).
% 25.51/17.26 tff(23321,plain,
% 25.51/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23322,plain,
% 25.51/17.26 (((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0))) <=> (v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23323,plain,
% 25.51/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0))))),
% 25.51/17.26 inference(monotonicity,[status(thm)],[23322])).
% 25.51/17.26 tff(23324,plain,
% 25.51/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 25.51/17.26 inference(transitivity,[status(thm)],[23323, 23321])).
% 25.51/17.26 tff(23325,plain,
% 25.51/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 25.51/17.26 inference(quant_inst,[status(thm)],[])).
% 25.51/17.26 tff(23326,plain,
% 25.51/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0))),
% 25.51/17.26 inference(modus_ponens,[status(thm)],[23325, 23324])).
% 25.51/17.26 tff(23327,plain,
% 25.51/17.26 (v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0))),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23326, 934, 23243])).
% 25.51/17.26 tff(23328,plain,
% 25.51/17.26 (v90(constB148, bitIndex0) | (~v90(constB149, bitIndex0))),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23327, 23255])).
% 25.51/17.26 tff(23329,plain,
% 25.51/17.26 (~v90(constB149, bitIndex0)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23328, 23320])).
% 25.51/17.26 tff(23330,assumption,(~v121(constB149)), introduced(assumption)).
% 25.51/17.26 tff(23331,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23332,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149))),
% 25.51/17.26 inference(quant_inst,[status(thm)],[])).
% 25.51/17.26 tff(23333,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149)),
% 25.51/17.26 inference(modus_ponens,[status(thm)],[23332, 23331])).
% 25.51/17.26 tff(23334,plain,
% 25.51/17.26 (v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23333, 2145, 23330])).
% 25.51/17.26 tff(23335,plain,
% 25.51/17.26 ($false),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23334, 23329, 23295, 23264])).
% 25.51/17.26 tff(23336,plain,((~v120(constB147)) | v121(constB149)), inference(lemma,lemma(discharge,[]))).
% 25.51/17.26 tff(23337,plain,
% 25.51/17.26 (v121(constB149)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23336, 23131])).
% 25.51/17.26 tff(23338,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB149)) | v130(constB149, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB149)) | v130(constB149, bitIndex1))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23339,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB149)) | v130(constB149, bitIndex1))),
% 25.51/17.26 inference(quant_inst,[status(thm)],[])).
% 25.51/17.26 tff(23340,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB149)) | v130(constB149, bitIndex1)),
% 25.51/17.26 inference(modus_ponens,[status(thm)],[23339, 23338])).
% 25.51/17.26 tff(23341,plain,
% 25.51/17.26 (v130(constB149, bitIndex1)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23340, 2562, 23337])).
% 25.51/17.26 tff(23342,assumption,(v26(constB149)), introduced(assumption)).
% 25.51/17.26 tff(23343,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB149))),
% 25.51/17.26 inference(quant_inst,[status(thm)],[])).
% 25.51/17.26 tff(23344,plain,
% 25.51/17.26 ($false),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23343, 797, 23342])).
% 25.51/17.26 tff(23345,plain,(~v26(constB149)), inference(lemma,lemma(discharge,[]))).
% 25.51/17.26 tff(23346,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23347,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1))),
% 25.51/17.26 inference(quant_inst,[status(thm)],[])).
% 25.51/17.26 tff(23348,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1)),
% 25.51/17.26 inference(modus_ponens,[status(thm)],[23347, 23346])).
% 25.51/17.26 tff(23349,plain,
% 25.51/17.26 ((~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23348, 1553, 23345])).
% 25.51/17.26 tff(23350,plain,
% 25.51/17.26 (v127(constB149, bitIndex1)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23349, 23341])).
% 25.51/17.26 tff(23351,plain,
% 25.51/17.26 (nextState(constB149, constB150) <=> nextState(constB149, constB150)),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23352,axiom,(nextState(constB149, constB150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_149_1')).
% 25.51/17.26 tff(23353,plain,
% 25.51/17.26 (nextState(constB149, constB150)),
% 25.51/17.26 inference(modus_ponens,[status(thm)],[23352, 23351])).
% 25.51/17.26 tff(23354,plain,
% 25.51/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23355,plain,
% 25.51/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1))),
% 25.51/17.26 inference(quant_inst,[status(thm)],[])).
% 25.51/17.26 tff(23356,plain,
% 25.51/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1)),
% 25.51/17.26 inference(modus_ponens,[status(thm)],[23355, 23354])).
% 25.51/17.26 tff(23357,plain,
% 25.51/17.26 ((~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23356, 1568, 23353])).
% 25.51/17.26 tff(23358,plain,
% 25.51/17.26 (v129(constB150, bitIndex1)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23357, 23350])).
% 25.51/17.26 tff(23359,assumption,(v121(constB149)), introduced(assumption)).
% 25.51/17.26 tff(23360,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB149) | (~v121(constB149)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB149) | (~v121(constB149)))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23361,plain,
% 25.51/17.26 (((~v121(constB149)) | v117(constB149)) <=> (v117(constB149) | (~v121(constB149)))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23362,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB149)) | v117(constB149))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB149) | (~v121(constB149))))),
% 25.51/17.26 inference(monotonicity,[status(thm)],[23361])).
% 25.51/17.26 tff(23363,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB149)) | v117(constB149))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB149) | (~v121(constB149)))),
% 25.51/17.26 inference(transitivity,[status(thm)],[23362, 23360])).
% 25.51/17.26 tff(23364,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB149)) | v117(constB149))),
% 25.51/17.26 inference(quant_inst,[status(thm)],[])).
% 25.51/17.26 tff(23365,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB149) | (~v121(constB149))),
% 25.51/17.26 inference(modus_ponens,[status(thm)],[23364, 23363])).
% 25.51/17.26 tff(23366,plain,
% 25.51/17.26 (v117(constB149)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23365, 2102, 23359])).
% 25.51/17.26 tff(23367,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB149) | (~v117(constB149)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB149) | (~v117(constB149)))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23368,plain,
% 25.51/17.26 (((~v117(constB149)) | v116(constB149)) <=> (v116(constB149) | (~v117(constB149)))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23369,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB149)) | v116(constB149))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB149) | (~v117(constB149))))),
% 25.51/17.26 inference(monotonicity,[status(thm)],[23368])).
% 25.51/17.26 tff(23370,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB149)) | v116(constB149))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB149) | (~v117(constB149)))),
% 25.51/17.26 inference(transitivity,[status(thm)],[23369, 23367])).
% 25.51/17.26 tff(23371,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB149)) | v116(constB149))),
% 25.51/17.26 inference(quant_inst,[status(thm)],[])).
% 25.51/17.26 tff(23372,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB149) | (~v117(constB149))),
% 25.51/17.26 inference(modus_ponens,[status(thm)],[23371, 23370])).
% 25.51/17.26 tff(23373,plain,
% 25.51/17.26 (v116(constB149)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23372, 994, 23366])).
% 25.51/17.26 tff(23374,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB149) | (~v116(constB149)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB149) | (~v116(constB149)))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23375,plain,
% 25.51/17.26 (((~v116(constB149)) | v115(constB149)) <=> (v115(constB149) | (~v116(constB149)))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23376,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB149)) | v115(constB149))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB149) | (~v116(constB149))))),
% 25.51/17.26 inference(monotonicity,[status(thm)],[23375])).
% 25.51/17.26 tff(23377,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB149)) | v115(constB149))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB149) | (~v116(constB149)))),
% 25.51/17.26 inference(transitivity,[status(thm)],[23376, 23374])).
% 25.51/17.26 tff(23378,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB149)) | v115(constB149))),
% 25.51/17.26 inference(quant_inst,[status(thm)],[])).
% 25.51/17.26 tff(23379,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB149) | (~v116(constB149))),
% 25.51/17.26 inference(modus_ponens,[status(thm)],[23378, 23377])).
% 25.51/17.26 tff(23380,plain,
% 25.51/17.26 (v115(constB149)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23379, 1008, 23373])).
% 25.51/17.26 tff(23381,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB149)) | v130(constB149, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB149)) | v130(constB149, bitIndex0))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23382,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB149)) | v130(constB149, bitIndex0))),
% 25.51/17.26 inference(quant_inst,[status(thm)],[])).
% 25.51/17.26 tff(23383,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB149)) | v130(constB149, bitIndex0)),
% 25.51/17.26 inference(modus_ponens,[status(thm)],[23382, 23381])).
% 25.51/17.26 tff(23384,plain,
% 25.51/17.26 (v130(constB149, bitIndex0)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23383, 2600, 23359])).
% 25.51/17.26 tff(23385,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23386,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0))),
% 25.51/17.26 inference(quant_inst,[status(thm)],[])).
% 25.51/17.26 tff(23387,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0)),
% 25.51/17.26 inference(modus_ponens,[status(thm)],[23386, 23385])).
% 25.51/17.26 tff(23388,plain,
% 25.51/17.26 ((~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23387, 1945, 23345])).
% 25.51/17.26 tff(23389,plain,
% 25.51/17.26 (v127(constB149, bitIndex0)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23388, 23384])).
% 25.51/17.26 tff(23390,plain,
% 25.51/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23391,plain,
% 25.51/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0))),
% 25.51/17.26 inference(quant_inst,[status(thm)],[])).
% 25.51/17.26 tff(23392,plain,
% 25.51/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0)),
% 25.51/17.26 inference(modus_ponens,[status(thm)],[23391, 23390])).
% 25.51/17.26 tff(23393,plain,
% 25.51/17.26 ((~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23392, 1960, 23353])).
% 25.51/17.26 tff(23394,plain,
% 25.51/17.26 (v129(constB150, bitIndex0)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23393, 23389])).
% 25.51/17.26 tff(23395,assumption,(~v90(constB150, bitIndex0)), introduced(assumption)).
% 25.51/17.26 tff(23396,plain,
% 25.51/17.26 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23397,plain,
% 25.51/17.26 ((v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0))) <=> (v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23398,plain,
% 25.51/17.26 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150))))),
% 25.51/17.26 inference(monotonicity,[status(thm)],[23397])).
% 25.51/17.26 tff(23399,plain,
% 25.51/17.26 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))),
% 25.51/17.26 inference(transitivity,[status(thm)],[23398, 23396])).
% 25.51/17.26 tff(23400,plain,
% 25.51/17.26 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0)))),
% 25.51/17.26 inference(quant_inst,[status(thm)],[])).
% 25.51/17.26 tff(23401,plain,
% 25.51/17.26 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150))),
% 25.51/17.26 inference(modus_ponens,[status(thm)],[23400, 23399])).
% 25.51/17.26 tff(23402,plain,
% 25.51/17.26 ((~v129(constB150, bitIndex0)) | (~v100(constB150))),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23401, 1975, 23395])).
% 25.51/17.26 tff(23403,plain,
% 25.51/17.26 (~v100(constB150)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23402, 23394])).
% 25.51/17.26 tff(23404,plain,
% 25.51/17.26 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23405,plain,
% 25.51/17.26 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))),
% 25.51/17.26 inference(quant_inst,[status(thm)],[])).
% 25.51/17.26 tff(23406,plain,
% 25.51/17.26 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150))),
% 25.51/17.26 inference(modus_ponens,[status(thm)],[23405, 23404])).
% 25.51/17.26 tff(23407,plain,
% 25.51/17.26 (~v104(constB150)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23406, 1100, 23353, 23240])).
% 25.51/17.26 tff(23408,plain,
% 25.51/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23409,plain,
% 25.51/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))),
% 25.51/17.26 inference(quant_inst,[status(thm)],[])).
% 25.51/17.26 tff(23410,plain,
% 25.51/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v102(constB150) | v104(constB150)),
% 25.51/17.26 inference(modus_ponens,[status(thm)],[23409, 23408])).
% 25.51/17.26 tff(23411,plain,
% 25.51/17.26 (v102(constB150) | v104(constB150)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23410, 1114, 23353])).
% 25.51/17.26 tff(23412,plain,
% 25.51/17.26 (v102(constB150)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23411, 23407])).
% 25.51/17.26 tff(23413,plain,
% 25.51/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23414,plain,
% 25.51/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))),
% 25.51/17.26 inference(quant_inst,[status(thm)],[])).
% 25.51/17.26 tff(23415,plain,
% 25.51/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150))),
% 25.51/17.26 inference(modus_ponens,[status(thm)],[23414, 23413])).
% 25.51/17.26 tff(23416,plain,
% 25.51/17.26 (v101(constB150) | (~v102(constB150))),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23415, 1129, 23353, 658])).
% 25.51/17.26 tff(23417,plain,
% 25.51/17.26 (v101(constB150)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23416, 23412])).
% 25.51/17.26 tff(23418,plain,
% 25.51/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23419,plain,
% 25.51/17.26 (((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150)) <=> ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23420,plain,
% 25.51/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150))))),
% 25.51/17.26 inference(monotonicity,[status(thm)],[23419])).
% 25.51/17.26 tff(23421,plain,
% 25.51/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 25.51/17.26 inference(transitivity,[status(thm)],[23420, 23418])).
% 25.51/17.26 tff(23422,plain,
% 25.51/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))),
% 25.51/17.26 inference(quant_inst,[status(thm)],[])).
% 25.51/17.26 tff(23423,plain,
% 25.51/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 25.51/17.26 inference(modus_ponens,[status(thm)],[23422, 23421])).
% 25.51/17.26 tff(23424,plain,
% 25.51/17.26 (v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23423, 1144, 23353])).
% 25.51/17.26 tff(23425,plain,
% 25.51/17.26 (v100(constB150) | (~v110(constB150))),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23424, 23417])).
% 25.51/17.26 tff(23426,plain,
% 25.51/17.26 (~v110(constB150)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23425, 23403])).
% 25.51/17.26 tff(23427,plain,
% 25.51/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23428,plain,
% 25.51/17.26 (((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150)) <=> ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23429,plain,
% 25.51/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149))))),
% 25.51/17.26 inference(monotonicity,[status(thm)],[23428])).
% 25.51/17.26 tff(23430,plain,
% 25.51/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 25.51/17.26 inference(transitivity,[status(thm)],[23429, 23427])).
% 25.51/17.26 tff(23431,plain,
% 25.51/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))),
% 25.51/17.26 inference(quant_inst,[status(thm)],[])).
% 25.51/17.26 tff(23432,plain,
% 25.51/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149))),
% 25.51/17.26 inference(modus_ponens,[status(thm)],[23431, 23430])).
% 25.51/17.26 tff(23433,plain,
% 25.51/17.26 (v110(constB150) | (~v108(constB149))),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23432, 1082, 23353])).
% 25.51/17.26 tff(23434,plain,
% 25.51/17.26 (~v108(constB149)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23433, 23426])).
% 25.51/17.26 tff(23435,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB149) | (~v112(constB149)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v112(constB149)))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23436,plain,
% 25.51/17.26 (((~v112(constB149)) | v108(constB149)) <=> (v108(constB149) | (~v112(constB149)))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23437,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB149)) | v108(constB149))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB149) | (~v112(constB149))))),
% 25.51/17.26 inference(monotonicity,[status(thm)],[23436])).
% 25.51/17.26 tff(23438,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB149)) | v108(constB149))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v112(constB149)))),
% 25.51/17.26 inference(transitivity,[status(thm)],[23437, 23435])).
% 25.51/17.26 tff(23439,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB149)) | v108(constB149))),
% 25.51/17.26 inference(quant_inst,[status(thm)],[])).
% 25.51/17.26 tff(23440,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v112(constB149))),
% 25.51/17.26 inference(modus_ponens,[status(thm)],[23439, 23438])).
% 25.51/17.26 tff(23441,plain,
% 25.51/17.26 (~v112(constB149)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23440, 1062, 23434])).
% 25.51/17.26 tff(23442,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | v112(constB149) | (~v113(constB149)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | v112(constB149) | (~v113(constB149)))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23443,plain,
% 25.51/17.26 ((v26(constB149) | (~v113(constB149)) | v112(constB149)) <=> (v26(constB149) | v112(constB149) | (~v113(constB149)))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23444,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | v112(constB149) | (~v113(constB149))))),
% 25.51/17.26 inference(monotonicity,[status(thm)],[23443])).
% 25.51/17.26 tff(23445,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | v112(constB149) | (~v113(constB149)))),
% 25.51/17.26 inference(transitivity,[status(thm)],[23444, 23442])).
% 25.51/17.26 tff(23446,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))),
% 25.51/17.26 inference(quant_inst,[status(thm)],[])).
% 25.51/17.26 tff(23447,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | v112(constB149) | (~v113(constB149))),
% 25.51/17.26 inference(modus_ponens,[status(thm)],[23446, 23445])).
% 25.51/17.26 tff(23448,plain,
% 25.51/17.26 (v112(constB149) | (~v113(constB149))),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23447, 1050, 23345])).
% 25.51/17.26 tff(23449,plain,
% 25.51/17.26 (~v113(constB149)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23448, 23441])).
% 25.51/17.26 tff(23450,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB149) | (~v114(constB149)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB149) | (~v114(constB149)))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23451,plain,
% 25.51/17.26 (((~v114(constB149)) | v113(constB149)) <=> (v113(constB149) | (~v114(constB149)))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23452,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB149)) | v113(constB149))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB149) | (~v114(constB149))))),
% 25.51/17.26 inference(monotonicity,[status(thm)],[23451])).
% 25.51/17.26 tff(23453,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB149)) | v113(constB149))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB149) | (~v114(constB149)))),
% 25.51/17.26 inference(transitivity,[status(thm)],[23452, 23450])).
% 25.51/17.26 tff(23454,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB149)) | v113(constB149))),
% 25.51/17.26 inference(quant_inst,[status(thm)],[])).
% 25.51/17.26 tff(23455,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB149) | (~v114(constB149))),
% 25.51/17.26 inference(modus_ponens,[status(thm)],[23454, 23453])).
% 25.51/17.26 tff(23456,plain,
% 25.51/17.26 (~v114(constB149)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23455, 1036, 23449])).
% 25.51/17.26 tff(23457,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB149) | (~v115(constB149)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB149) | (~v115(constB149)))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23458,plain,
% 25.51/17.26 (((~v115(constB149)) | v114(constB149)) <=> (v114(constB149) | (~v115(constB149)))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23459,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB149)) | v114(constB149))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB149) | (~v115(constB149))))),
% 25.51/17.26 inference(monotonicity,[status(thm)],[23458])).
% 25.51/17.26 tff(23460,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB149)) | v114(constB149))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB149) | (~v115(constB149)))),
% 25.51/17.26 inference(transitivity,[status(thm)],[23459, 23457])).
% 25.51/17.26 tff(23461,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB149)) | v114(constB149))),
% 25.51/17.26 inference(quant_inst,[status(thm)],[])).
% 25.51/17.26 tff(23462,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB149) | (~v115(constB149))),
% 25.51/17.26 inference(modus_ponens,[status(thm)],[23461, 23460])).
% 25.51/17.26 tff(23463,plain,
% 25.51/17.26 ($false),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23462, 1022, 23456, 23380])).
% 25.51/17.26 tff(23464,plain,((~v121(constB149)) | v90(constB150, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.51/17.26 tff(23465,plain,
% 25.51/17.26 (v90(constB150, bitIndex0)),
% 25.51/17.26 inference(unit_resolution,[status(thm)],[23464, 23337])).
% 25.51/17.26 tff(23466,plain,
% 25.51/17.26 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB149)) | (~v90(constB149, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB149)) | (~v90(constB149, bitIndex0)))),
% 25.51/17.26 inference(rewrite,[status(thm)],[])).
% 25.51/17.26 tff(23467,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB149)) | (~v90(constB149, bitIndex0)))),
% 25.51/17.26 inference(quant_inst,[status(thm)],[])).
% 25.51/17.26 tff(23468,plain,
% 25.51/17.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB149)) | (~v90(constB149, bitIndex0))),
% 25.51/17.26 inference(modus_ponens,[status(thm)],[23467, 23466])).
% 25.51/17.27 tff(23469,plain,
% 25.51/17.27 (~v90(constB149, bitIndex0)),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23468, 11924, 23337])).
% 25.51/17.27 tff(23470,plain,
% 25.51/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0)))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23471,plain,
% 25.51/17.27 (((~nextState(constB149, constB150)) | v90(constB149, bitIndex0) | v100(constB150) | (~v90(constB150, bitIndex0))) <=> (v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0)))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23472,plain,
% 25.51/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB149, constB150)) | v90(constB149, bitIndex0) | v100(constB150) | (~v90(constB150, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0))))),
% 25.51/17.27 inference(monotonicity,[status(thm)],[23471])).
% 25.51/17.27 tff(23473,plain,
% 25.51/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB149, constB150)) | v90(constB149, bitIndex0) | v100(constB150) | (~v90(constB150, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0)))),
% 25.51/17.27 inference(transitivity,[status(thm)],[23472, 23470])).
% 25.51/17.27 tff(23474,plain,
% 25.51/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB149, constB150)) | v90(constB149, bitIndex0) | v100(constB150) | (~v90(constB150, bitIndex0)))),
% 25.51/17.27 inference(quant_inst,[status(thm)],[])).
% 25.51/17.27 tff(23475,plain,
% 25.51/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0))),
% 25.51/17.27 inference(modus_ponens,[status(thm)],[23474, 23473])).
% 25.51/17.27 tff(23476,plain,
% 25.51/17.27 (v90(constB149, bitIndex0) | v100(constB150) | (~v90(constB150, bitIndex0))),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23475, 934, 23353])).
% 25.51/17.27 tff(23477,plain,
% 25.51/17.27 (v100(constB150)),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23476, 23469, 23465])).
% 25.51/17.27 tff(23478,plain,
% 25.51/17.27 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23479,plain,
% 25.51/17.27 ((v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1))) <=> (v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23480,plain,
% 25.51/17.27 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150))))),
% 25.51/17.27 inference(monotonicity,[status(thm)],[23479])).
% 25.51/17.27 tff(23481,plain,
% 25.51/17.27 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))),
% 25.51/17.27 inference(transitivity,[status(thm)],[23480, 23478])).
% 25.51/17.27 tff(23482,plain,
% 25.51/17.27 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1)))),
% 25.51/17.27 inference(quant_inst,[status(thm)],[])).
% 25.51/17.27 tff(23483,plain,
% 25.51/17.27 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150))),
% 25.51/17.27 inference(modus_ponens,[status(thm)],[23482, 23481])).
% 25.51/17.27 tff(23484,plain,
% 25.51/17.27 (v90(constB150, bitIndex1)),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23483, 1583, 23477, 23358])).
% 25.51/17.27 tff(23485,plain,
% 25.51/17.27 ((~v1(constB151)) <=> (~v1(constB151))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23486,axiom,(~v1(constB151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_151_1_1')).
% 25.51/17.27 tff(23487,plain,
% 25.51/17.27 (~v1(constB151)),
% 25.51/17.27 inference(modus_ponens,[status(thm)],[23486, 23485])).
% 25.51/17.27 tff(23488,plain,
% 25.51/17.27 (nextState(constB150, constB151) <=> nextState(constB150, constB151)),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23489,axiom,(nextState(constB150, constB151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_150_1')).
% 25.51/17.27 tff(23490,plain,
% 25.51/17.27 (nextState(constB150, constB151)),
% 25.51/17.27 inference(modus_ponens,[status(thm)],[23489, 23488])).
% 25.51/17.27 tff(23491,plain,
% 25.51/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23492,plain,
% 25.51/17.27 (((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151)) <=> (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23493,plain,
% 25.51/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151))))),
% 25.51/17.27 inference(monotonicity,[status(thm)],[23492])).
% 25.51/17.27 tff(23494,plain,
% 25.51/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 25.51/17.27 inference(transitivity,[status(thm)],[23493, 23491])).
% 25.51/17.27 tff(23495,plain,
% 25.51/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))),
% 25.51/17.27 inference(quant_inst,[status(thm)],[])).
% 25.51/17.27 tff(23496,plain,
% 25.51/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151))),
% 25.51/17.27 inference(modus_ponens,[status(thm)],[23495, 23494])).
% 25.51/17.27 tff(23497,plain,
% 25.51/17.27 (~v101(constB151)),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23496, 860, 23490, 23487])).
% 25.51/17.27 tff(23498,plain,
% 25.51/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23499,plain,
% 25.51/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))),
% 25.51/17.27 inference(quant_inst,[status(thm)],[])).
% 25.51/17.27 tff(23500,plain,
% 25.51/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151))),
% 25.51/17.27 inference(modus_ponens,[status(thm)],[23499, 23498])).
% 25.51/17.27 tff(23501,plain,
% 25.51/17.27 (v101(constB151) | (~v100(constB151))),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23500, 877, 23490])).
% 25.51/17.27 tff(23502,plain,
% 25.51/17.27 (~v100(constB151)),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23501, 23497])).
% 25.51/17.27 tff(23503,plain,
% 25.51/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23504,plain,
% 25.51/17.27 (((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1)) <=> ((~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23505,plain,
% 25.51/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1)))),
% 25.51/17.27 inference(monotonicity,[status(thm)],[23504])).
% 25.51/17.27 tff(23506,plain,
% 25.51/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))),
% 25.51/17.27 inference(transitivity,[status(thm)],[23505, 23503])).
% 25.51/17.27 tff(23507,plain,
% 25.51/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1))),
% 25.51/17.27 inference(quant_inst,[status(thm)],[])).
% 25.51/17.27 tff(23508,plain,
% 25.51/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1)),
% 25.51/17.27 inference(modus_ponens,[status(thm)],[23507, 23506])).
% 25.51/17.27 tff(23509,plain,
% 25.51/17.27 ((~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1)),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23508, 1601, 23490])).
% 25.51/17.27 tff(23510,plain,
% 25.51/17.27 ((~v90(constB150, bitIndex1)) | v90(constB151, bitIndex1)),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23509, 23502])).
% 25.51/17.27 tff(23511,plain,
% 25.51/17.27 (v90(constB151, bitIndex1)),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23510, 23484])).
% 25.51/17.27 tff(23512,plain,
% 25.51/17.27 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB149)) | (~v130(constB149, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB149)) | (~v130(constB149, bitIndex2)))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23513,plain,
% 25.51/17.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB149)) | (~v130(constB149, bitIndex2)))),
% 25.51/17.27 inference(quant_inst,[status(thm)],[])).
% 25.51/17.27 tff(23514,plain,
% 25.51/17.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB149)) | (~v130(constB149, bitIndex2))),
% 25.51/17.27 inference(modus_ponens,[status(thm)],[23513, 23512])).
% 25.51/17.27 tff(23515,plain,
% 25.51/17.27 (~v130(constB149, bitIndex2)),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23514, 2406, 23337])).
% 25.51/17.27 tff(23516,plain,
% 25.51/17.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23517,plain,
% 25.51/17.27 ((v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2))) <=> ((~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23518,plain,
% 25.51/17.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2)))),
% 25.51/17.27 inference(monotonicity,[status(thm)],[23517])).
% 25.51/17.27 tff(23519,plain,
% 25.51/17.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))),
% 25.51/17.27 inference(transitivity,[status(thm)],[23518, 23516])).
% 25.51/17.27 tff(23520,plain,
% 25.51/17.27 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2)))),
% 25.51/17.27 inference(quant_inst,[status(thm)],[])).
% 25.51/17.27 tff(23521,plain,
% 25.51/17.27 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2)),
% 25.51/17.27 inference(modus_ponens,[status(thm)],[23520, 23519])).
% 25.51/17.27 tff(23522,plain,
% 25.51/17.27 ((~v127(constB149, bitIndex2)) | v130(constB149, bitIndex2)),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23521, 1812, 23345])).
% 25.51/17.27 tff(23523,plain,
% 25.51/17.27 (~v127(constB149, bitIndex2)),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23522, 23515])).
% 25.51/17.27 tff(23524,plain,
% 25.51/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2)))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23525,plain,
% 25.51/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2)))),
% 25.51/17.27 inference(quant_inst,[status(thm)],[])).
% 25.51/17.27 tff(23526,plain,
% 25.51/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2))),
% 25.51/17.27 inference(modus_ponens,[status(thm)],[23525, 23524])).
% 25.51/17.27 tff(23527,plain,
% 25.51/17.27 (v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2))),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23526, 1830, 23353])).
% 25.51/17.27 tff(23528,plain,
% 25.51/17.27 (~v129(constB150, bitIndex2)),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23527, 23523])).
% 25.51/17.27 tff(23529,plain,
% 25.51/17.27 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23530,plain,
% 25.51/17.27 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))),
% 25.51/17.27 inference(quant_inst,[status(thm)],[])).
% 25.51/17.27 tff(23531,plain,
% 25.51/17.27 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150))),
% 25.51/17.27 inference(modus_ponens,[status(thm)],[23530, 23529])).
% 25.51/17.27 tff(23532,plain,
% 25.51/17.27 (~v90(constB150, bitIndex2)),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23531, 1845, 23477, 23528])).
% 25.51/17.27 tff(23533,plain,
% 25.51/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23534,plain,
% 25.51/17.27 (((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2))) <=> (v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23535,plain,
% 25.51/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2))))),
% 25.51/17.27 inference(monotonicity,[status(thm)],[23534])).
% 25.51/17.27 tff(23536,plain,
% 25.51/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 25.51/17.27 inference(transitivity,[status(thm)],[23535, 23533])).
% 25.51/17.27 tff(23537,plain,
% 25.51/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 25.51/17.27 inference(quant_inst,[status(thm)],[])).
% 25.51/17.27 tff(23538,plain,
% 25.51/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2))),
% 25.51/17.27 inference(modus_ponens,[status(thm)],[23537, 23536])).
% 25.51/17.27 tff(23539,plain,
% 25.51/17.27 (v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2))),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23538, 892, 23490])).
% 25.51/17.27 tff(23540,plain,
% 25.51/17.27 (v90(constB150, bitIndex2) | (~v90(constB151, bitIndex2))),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23539, 23502])).
% 25.51/17.27 tff(23541,plain,
% 25.51/17.27 (~v90(constB151, bitIndex2)),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23540, 23532])).
% 25.51/17.27 tff(23542,plain,
% 25.51/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23543,plain,
% 25.51/17.27 (((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0)) <=> ((~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23544,plain,
% 25.51/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0)))),
% 25.51/17.27 inference(monotonicity,[status(thm)],[23543])).
% 25.51/17.27 tff(23545,plain,
% 25.51/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))),
% 25.51/17.27 inference(transitivity,[status(thm)],[23544, 23542])).
% 25.51/17.27 tff(23546,plain,
% 25.51/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0))),
% 25.51/17.27 inference(quant_inst,[status(thm)],[])).
% 25.51/17.27 tff(23547,plain,
% 25.51/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0)),
% 25.51/17.27 inference(modus_ponens,[status(thm)],[23546, 23545])).
% 25.51/17.27 tff(23548,plain,
% 25.51/17.27 ((~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0)),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23547, 1993, 23490])).
% 25.51/17.27 tff(23549,plain,
% 25.51/17.27 ((~v90(constB150, bitIndex0)) | v90(constB151, bitIndex0)),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23548, 23502])).
% 25.51/17.27 tff(23550,plain,
% 25.51/17.27 (v90(constB151, bitIndex0)),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23549, 23465])).
% 25.51/17.27 tff(23551,plain,
% 25.51/17.27 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23552,plain,
% 25.51/17.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151))),
% 25.51/17.27 inference(quant_inst,[status(thm)],[])).
% 25.51/17.27 tff(23553,plain,
% 25.51/17.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151)),
% 25.51/17.27 inference(modus_ponens,[status(thm)],[23552, 23551])).
% 25.51/17.27 tff(23554,plain,
% 25.51/17.27 ((~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151)),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23553, 2641, 23550])).
% 25.51/17.27 tff(23555,plain,
% 25.51/17.27 (v122(constB151)),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23554, 23541, 23511])).
% 25.51/17.27 tff(23556,plain,
% 25.51/17.27 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB151)) | v116(constB151))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB151)) | v116(constB151))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23557,plain,
% 25.51/17.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB151)) | v116(constB151))),
% 25.51/17.27 inference(quant_inst,[status(thm)],[])).
% 25.51/17.27 tff(23558,plain,
% 25.51/17.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB151)) | v116(constB151)),
% 25.51/17.27 inference(modus_ponens,[status(thm)],[23557, 23556])).
% 25.51/17.27 tff(23559,plain,
% 25.51/17.27 (v116(constB151)),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23558, 2652, 23555])).
% 25.51/17.27 tff(23560,plain,
% 25.51/17.27 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB151)) | v115(constB151))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB151)) | v115(constB151))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23561,plain,
% 25.51/17.27 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB151)) | v115(constB151))),
% 25.51/17.27 inference(quant_inst,[status(thm)],[])).
% 25.51/17.27 tff(23562,plain,
% 25.51/17.27 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB151)) | v115(constB151)),
% 25.51/17.27 inference(modus_ponens,[status(thm)],[23561, 23560])).
% 25.51/17.27 tff(23563,plain,
% 25.51/17.27 (v115(constB151)),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23562, 1008, 23559])).
% 25.51/17.27 tff(23564,plain,
% 25.51/17.27 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB151) | (~v115(constB151)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB151) | (~v115(constB151)))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23565,plain,
% 25.51/17.27 (((~v115(constB151)) | v114(constB151)) <=> (v114(constB151) | (~v115(constB151)))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23566,plain,
% 25.51/17.27 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB151)) | v114(constB151))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB151) | (~v115(constB151))))),
% 25.51/17.27 inference(monotonicity,[status(thm)],[23565])).
% 25.51/17.27 tff(23567,plain,
% 25.51/17.27 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB151)) | v114(constB151))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB151) | (~v115(constB151)))),
% 25.51/17.27 inference(transitivity,[status(thm)],[23566, 23564])).
% 25.51/17.27 tff(23568,plain,
% 25.51/17.27 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB151)) | v114(constB151))),
% 25.51/17.27 inference(quant_inst,[status(thm)],[])).
% 25.51/17.27 tff(23569,plain,
% 25.51/17.27 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB151) | (~v115(constB151))),
% 25.51/17.27 inference(modus_ponens,[status(thm)],[23568, 23567])).
% 25.51/17.27 tff(23570,plain,
% 25.51/17.27 (v114(constB151)),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23569, 1022, 23563])).
% 25.51/17.27 tff(23571,plain,
% 25.51/17.27 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB151)) | v113(constB151))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB151)) | v113(constB151))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23572,plain,
% 25.51/17.27 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB151)) | v113(constB151))),
% 25.51/17.27 inference(quant_inst,[status(thm)],[])).
% 25.51/17.27 tff(23573,plain,
% 25.51/17.27 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB151)) | v113(constB151)),
% 25.51/17.27 inference(modus_ponens,[status(thm)],[23572, 23571])).
% 25.51/17.27 tff(23574,plain,
% 25.51/17.27 (v113(constB151)),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23573, 1036, 23570])).
% 25.51/17.27 tff(23575,assumption,(v26(constB151)), introduced(assumption)).
% 25.51/17.27 tff(23576,plain,
% 25.51/17.27 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB151))),
% 25.51/17.27 inference(quant_inst,[status(thm)],[])).
% 25.51/17.27 tff(23577,plain,
% 25.51/17.27 ($false),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23576, 797, 23575])).
% 25.51/17.27 tff(23578,plain,(~v26(constB151)), inference(lemma,lemma(discharge,[]))).
% 25.51/17.27 tff(23579,plain,
% 25.51/17.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | v112(constB151) | (~v113(constB151)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | v112(constB151) | (~v113(constB151)))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23580,plain,
% 25.51/17.27 ((v26(constB151) | (~v113(constB151)) | v112(constB151)) <=> (v26(constB151) | v112(constB151) | (~v113(constB151)))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23581,plain,
% 25.51/17.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | v112(constB151) | (~v113(constB151))))),
% 25.51/17.27 inference(monotonicity,[status(thm)],[23580])).
% 25.51/17.27 tff(23582,plain,
% 25.51/17.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | v112(constB151) | (~v113(constB151)))),
% 25.51/17.27 inference(transitivity,[status(thm)],[23581, 23579])).
% 25.51/17.27 tff(23583,plain,
% 25.51/17.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))),
% 25.51/17.27 inference(quant_inst,[status(thm)],[])).
% 25.51/17.27 tff(23584,plain,
% 25.51/17.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | v112(constB151) | (~v113(constB151))),
% 25.51/17.27 inference(modus_ponens,[status(thm)],[23583, 23582])).
% 25.51/17.27 tff(23585,plain,
% 25.51/17.27 (v112(constB151) | (~v113(constB151))),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23584, 1050, 23578])).
% 25.51/17.27 tff(23586,plain,
% 25.51/17.27 (v112(constB151)),
% 25.51/17.27 inference(unit_resolution,[status(thm)],[23585, 23574])).
% 25.51/17.27 tff(23587,plain,
% 25.51/17.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB151) | (~v112(constB151)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v112(constB151)))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23588,plain,
% 25.51/17.27 (((~v112(constB151)) | v108(constB151)) <=> (v108(constB151) | (~v112(constB151)))),
% 25.51/17.27 inference(rewrite,[status(thm)],[])).
% 25.51/17.27 tff(23589,plain,
% 25.51/17.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB151)) | v108(constB151))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB151) | (~v112(constB151))))),
% 25.51/17.27 inference(monotonicity,[status(thm)],[23588])).
% 25.51/17.27 tff(23590,plain,
% 25.51/17.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB151)) | v108(constB151))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v112(constB151)))),
% 25.51/17.27 inference(transitivity,[status(thm)],[23589, 23587])).
% 25.51/17.27 tff(23591,plain,
% 25.51/17.27 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB151)) | v108(constB151))),
% 25.51/17.28 inference(quant_inst,[status(thm)],[])).
% 25.51/17.28 tff(23592,plain,
% 25.51/17.28 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v112(constB151))),
% 25.51/17.28 inference(modus_ponens,[status(thm)],[23591, 23590])).
% 25.51/17.28 tff(23593,plain,
% 25.51/17.28 (v108(constB151)),
% 25.51/17.28 inference(unit_resolution,[status(thm)],[23592, 1062, 23586])).
% 25.51/17.28 tff(23594,plain,
% 25.51/17.28 (nextState(constB151, constB152) <=> nextState(constB151, constB152)),
% 25.51/17.28 inference(rewrite,[status(thm)],[])).
% 25.51/17.28 tff(23595,axiom,(nextState(constB151, constB152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_151_1')).
% 25.51/17.28 tff(23596,plain,
% 25.51/17.28 (nextState(constB151, constB152)),
% 25.51/17.28 inference(modus_ponens,[status(thm)],[23595, 23594])).
% 25.51/17.28 tff(23597,plain,
% 25.51/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 25.51/17.28 inference(rewrite,[status(thm)],[])).
% 25.51/17.28 tff(23598,plain,
% 25.51/17.28 (((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152)) <=> ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 25.51/17.28 inference(rewrite,[status(thm)],[])).
% 25.51/17.28 tff(23599,plain,
% 25.51/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151))))),
% 25.51/17.28 inference(monotonicity,[status(thm)],[23598])).
% 25.51/17.28 tff(23600,plain,
% 25.51/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 25.51/17.28 inference(transitivity,[status(thm)],[23599, 23597])).
% 25.51/17.28 tff(23601,plain,
% 25.51/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))),
% 25.51/17.28 inference(quant_inst,[status(thm)],[])).
% 25.51/17.28 tff(23602,plain,
% 25.51/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151))),
% 25.51/17.28 inference(modus_ponens,[status(thm)],[23601, 23600])).
% 25.51/17.28 tff(23603,plain,
% 25.51/17.28 (v110(constB152) | (~v108(constB151))),
% 25.51/17.28 inference(unit_resolution,[status(thm)],[23602, 1082, 23596])).
% 25.51/17.28 tff(23604,plain,
% 25.51/17.28 (v110(constB152)),
% 25.51/17.28 inference(unit_resolution,[status(thm)],[23603, 23593])).
% 25.51/17.28 tff(23605,plain,
% 25.51/17.28 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))),
% 25.51/17.28 inference(rewrite,[status(thm)],[])).
% 25.51/17.28 tff(23606,plain,
% 25.51/17.28 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))),
% 25.51/17.28 inference(quant_inst,[status(thm)],[])).
% 25.51/17.28 tff(23607,plain,
% 25.51/17.28 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152))),
% 25.51/17.28 inference(modus_ponens,[status(thm)],[23606, 23605])).
% 25.51/17.28 tff(23608,plain,
% 25.51/17.28 (~v104(constB152)),
% 25.51/17.28 inference(unit_resolution,[status(thm)],[23607, 1100, 23596, 23487])).
% 25.51/17.28 tff(23609,plain,
% 25.51/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))),
% 25.51/17.28 inference(rewrite,[status(thm)],[])).
% 25.51/17.28 tff(23610,plain,
% 25.51/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))),
% 25.51/17.28 inference(quant_inst,[status(thm)],[])).
% 25.51/17.28 tff(23611,plain,
% 25.51/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v102(constB152) | v104(constB152)),
% 25.51/17.28 inference(modus_ponens,[status(thm)],[23610, 23609])).
% 25.51/17.28 tff(23612,plain,
% 25.51/17.28 (v102(constB152) | v104(constB152)),
% 25.51/17.28 inference(unit_resolution,[status(thm)],[23611, 1114, 23596])).
% 25.51/17.28 tff(23613,plain,
% 25.51/17.28 (v102(constB152)),
% 25.51/17.28 inference(unit_resolution,[status(thm)],[23612, 23608])).
% 25.51/17.28 tff(23614,plain,
% 25.51/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))),
% 25.51/17.28 inference(rewrite,[status(thm)],[])).
% 25.51/17.28 tff(23615,plain,
% 25.51/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))),
% 25.51/17.28 inference(quant_inst,[status(thm)],[])).
% 25.51/17.28 tff(23616,plain,
% 25.51/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152))),
% 25.51/17.28 inference(modus_ponens,[status(thm)],[23615, 23614])).
% 25.51/17.28 tff(23617,plain,
% 25.51/17.28 (v101(constB152) | (~v102(constB152))),
% 25.51/17.28 inference(unit_resolution,[status(thm)],[23616, 1129, 23596, 328])).
% 25.51/17.28 tff(23618,plain,
% 25.51/17.28 (v101(constB152)),
% 25.51/17.28 inference(unit_resolution,[status(thm)],[23617, 23613])).
% 25.51/17.28 tff(23619,plain,
% 25.51/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 25.51/17.28 inference(rewrite,[status(thm)],[])).
% 25.51/17.28 tff(23620,plain,
% 25.51/17.28 (((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152)) <=> ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 25.51/17.28 inference(rewrite,[status(thm)],[])).
% 25.51/17.28 tff(23621,plain,
% 25.51/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152))))),
% 25.51/17.28 inference(monotonicity,[status(thm)],[23620])).
% 25.51/17.28 tff(23622,plain,
% 25.51/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 25.51/17.28 inference(transitivity,[status(thm)],[23621, 23619])).
% 25.51/17.28 tff(23623,plain,
% 25.51/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))),
% 25.51/17.28 inference(quant_inst,[status(thm)],[])).
% 25.51/17.28 tff(23624,plain,
% 25.51/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 25.51/17.28 inference(modus_ponens,[status(thm)],[23623, 23622])).
% 25.51/17.28 tff(23625,plain,
% 25.51/17.28 (v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 25.51/17.28 inference(unit_resolution,[status(thm)],[23624, 1144, 23596])).
% 25.51/17.28 tff(23626,plain,
% 25.51/17.28 (v100(constB152) | (~v110(constB152))),
% 25.51/17.28 inference(unit_resolution,[status(thm)],[23625, 23618])).
% 25.51/17.28 tff(23627,plain,
% 25.51/17.28 (v100(constB152)),
% 25.51/17.28 inference(unit_resolution,[status(thm)],[23626, 23604])).
% 25.51/17.28 tff(23628,plain,
% 25.51/17.28 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB151)) | v130(constB151, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB151)) | v130(constB151, bitIndex2))),
% 25.51/17.28 inference(rewrite,[status(thm)],[])).
% 25.51/17.28 tff(23629,plain,
% 25.51/17.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB151)) | v130(constB151, bitIndex2))),
% 25.51/17.28 inference(quant_inst,[status(thm)],[])).
% 25.51/17.28 tff(23630,plain,
% 25.51/17.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB151)) | v130(constB151, bitIndex2)),
% 25.51/17.28 inference(modus_ponens,[status(thm)],[23629, 23628])).
% 25.51/17.28 tff(23631,plain,
% 25.51/17.28 (v130(constB151, bitIndex2)),
% 25.51/17.28 inference(unit_resolution,[status(thm)],[23630, 2736, 23555])).
% 25.51/17.28 tff(23632,plain,
% 25.51/17.28 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2))),
% 25.51/17.28 inference(rewrite,[status(thm)],[])).
% 25.51/17.28 tff(23633,plain,
% 25.51/17.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2))),
% 25.51/17.28 inference(quant_inst,[status(thm)],[])).
% 25.51/17.28 tff(23634,plain,
% 25.51/17.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2)),
% 25.51/17.28 inference(modus_ponens,[status(thm)],[23633, 23632])).
% 25.51/17.28 tff(23635,plain,
% 25.51/17.28 ((~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2)),
% 25.51/17.28 inference(unit_resolution,[status(thm)],[23634, 1174, 23578])).
% 25.51/17.28 tff(23636,plain,
% 25.51/17.28 (v127(constB151, bitIndex2)),
% 25.51/17.28 inference(unit_resolution,[status(thm)],[23635, 23631])).
% 25.51/17.28 tff(23637,plain,
% 25.51/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2))),
% 25.51/17.28 inference(rewrite,[status(thm)],[])).
% 25.51/17.28 tff(23638,plain,
% 25.51/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2))),
% 25.51/17.28 inference(quant_inst,[status(thm)],[])).
% 25.51/17.28 tff(23639,plain,
% 25.51/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2)),
% 25.51/17.28 inference(modus_ponens,[status(thm)],[23638, 23637])).
% 25.51/17.28 tff(23640,plain,
% 25.51/17.28 ((~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2)),
% 25.51/17.28 inference(unit_resolution,[status(thm)],[23639, 1189, 23596])).
% 25.51/17.28 tff(23641,plain,
% 25.51/17.28 (v129(constB152, bitIndex2)),
% 25.51/17.28 inference(unit_resolution,[status(thm)],[23640, 23636])).
% 25.51/17.28 tff(23642,plain,
% 25.51/17.28 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))),
% 25.51/17.28 inference(rewrite,[status(thm)],[])).
% 25.51/17.28 tff(23643,plain,
% 25.51/17.28 ((v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2))) <=> (v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))),
% 25.51/17.28 inference(rewrite,[status(thm)],[])).
% 25.51/17.28 tff(23644,plain,
% 25.51/17.28 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152))))),
% 25.51/17.28 inference(monotonicity,[status(thm)],[23643])).
% 25.51/17.28 tff(23645,plain,
% 25.51/17.28 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))),
% 25.51/17.28 inference(transitivity,[status(thm)],[23644, 23642])).
% 25.51/17.28 tff(23646,plain,
% 25.51/17.28 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2)))),
% 25.51/17.28 inference(quant_inst,[status(thm)],[])).
% 25.51/17.28 tff(23647,plain,
% 25.51/17.28 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152))),
% 25.51/17.28 inference(modus_ponens,[status(thm)],[23646, 23645])).
% 25.51/17.28 tff(23648,plain,
% 25.51/17.28 (v90(constB152, bitIndex2) | (~v100(constB152))),
% 25.51/17.28 inference(unit_resolution,[status(thm)],[23647, 1204, 23641])).
% 25.51/17.28 tff(23649,plain,
% 25.51/17.28 (v90(constB152, bitIndex2)),
% 25.51/17.28 inference(unit_resolution,[status(thm)],[23648, 23627])).
% 25.51/17.28 tff(23650,plain,
% 25.51/17.28 ((~v1(constB153)) <=> (~v1(constB153))),
% 25.51/17.28 inference(rewrite,[status(thm)],[])).
% 25.51/17.28 tff(23651,axiom,(~v1(constB153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_153_1_1')).
% 25.51/17.28 tff(23652,plain,
% 25.51/17.28 (~v1(constB153)),
% 25.51/17.28 inference(modus_ponens,[status(thm)],[23651, 23650])).
% 25.51/17.28 tff(23653,plain,
% 25.51/17.28 (nextState(constB152, constB153) <=> nextState(constB152, constB153)),
% 25.51/17.28 inference(rewrite,[status(thm)],[])).
% 25.51/17.28 tff(23654,axiom,(nextState(constB152, constB153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_152_1')).
% 25.51/17.28 tff(23655,plain,
% 25.51/17.28 (nextState(constB152, constB153)),
% 25.51/17.28 inference(modus_ponens,[status(thm)],[23654, 23653])).
% 25.51/17.28 tff(23656,plain,
% 25.51/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 25.51/17.28 inference(rewrite,[status(thm)],[])).
% 25.51/17.28 tff(23657,plain,
% 25.51/17.28 (((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153)) <=> (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 25.51/17.28 inference(rewrite,[status(thm)],[])).
% 25.51/17.28 tff(23658,plain,
% 25.51/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153))))),
% 25.51/17.28 inference(monotonicity,[status(thm)],[23657])).
% 25.51/17.28 tff(23659,plain,
% 25.51/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 25.51/17.28 inference(transitivity,[status(thm)],[23658, 23656])).
% 25.51/17.28 tff(23660,plain,
% 25.51/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))),
% 25.51/17.28 inference(quant_inst,[status(thm)],[])).
% 25.51/17.28 tff(23661,plain,
% 25.51/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153))),
% 25.51/17.28 inference(modus_ponens,[status(thm)],[23660, 23659])).
% 25.51/17.28 tff(23662,plain,
% 25.51/17.28 (~v101(constB153)),
% 25.51/17.28 inference(unit_resolution,[status(thm)],[23661, 860, 23655, 23652])).
% 25.51/17.28 tff(23663,plain,
% 25.51/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))),
% 25.51/17.28 inference(rewrite,[status(thm)],[])).
% 25.51/17.28 tff(23664,plain,
% 25.51/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))),
% 25.51/17.28 inference(quant_inst,[status(thm)],[])).
% 25.51/17.28 tff(23665,plain,
% 25.51/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153))),
% 25.57/17.28 inference(modus_ponens,[status(thm)],[23664, 23663])).
% 25.57/17.28 tff(23666,plain,
% 25.57/17.28 (v101(constB153) | (~v100(constB153))),
% 25.57/17.28 inference(unit_resolution,[status(thm)],[23665, 877, 23655])).
% 25.57/17.28 tff(23667,plain,
% 25.57/17.28 (~v100(constB153)),
% 25.57/17.28 inference(unit_resolution,[status(thm)],[23666, 23662])).
% 25.57/17.28 tff(23668,plain,
% 25.57/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))),
% 25.57/17.28 inference(rewrite,[status(thm)],[])).
% 25.57/17.28 tff(23669,plain,
% 25.57/17.28 (((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2)) <=> ((~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))),
% 25.57/17.28 inference(rewrite,[status(thm)],[])).
% 25.57/17.28 tff(23670,plain,
% 25.57/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2)))),
% 25.57/17.28 inference(monotonicity,[status(thm)],[23669])).
% 25.57/17.28 tff(23671,plain,
% 25.57/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))),
% 25.57/17.28 inference(transitivity,[status(thm)],[23670, 23668])).
% 25.57/17.28 tff(23672,plain,
% 25.57/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2))),
% 25.57/17.28 inference(quant_inst,[status(thm)],[])).
% 25.57/17.28 tff(23673,plain,
% 25.57/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2)),
% 25.57/17.28 inference(modus_ponens,[status(thm)],[23672, 23671])).
% 25.57/17.28 tff(23674,plain,
% 25.57/17.28 ((~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2)),
% 25.57/17.28 inference(unit_resolution,[status(thm)],[23673, 1240, 23655])).
% 25.57/17.28 tff(23675,plain,
% 25.57/17.28 ((~v90(constB152, bitIndex2)) | v90(constB153, bitIndex2)),
% 25.57/17.28 inference(unit_resolution,[status(thm)],[23674, 23667])).
% 25.57/17.28 tff(23676,plain,
% 25.57/17.28 (v90(constB153, bitIndex2)),
% 25.57/17.28 inference(unit_resolution,[status(thm)],[23675, 23649])).
% 25.57/17.28 tff(23677,plain,
% 25.57/17.28 (^[VarCurr: state_type] : refl(((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)))),
% 25.57/17.28 inference(bind,[status(th)],[])).
% 25.57/17.28 tff(23678,plain,
% 25.57/17.28 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 25.57/17.28 inference(quant_intro,[status(thm)],[23677])).
% 25.57/17.28 tff(23679,plain,
% 25.57/17.28 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 25.57/17.28 inference(rewrite,[status(thm)],[])).
% 25.57/17.28 tff(23680,axiom,(![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_5')).
% 25.57/17.28 tff(23681,plain,
% 25.57/17.28 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 25.57/17.28 inference(modus_ponens,[status(thm)],[23680, 23679])).
% 25.57/17.28 tff(23682,plain,(
% 25.57/17.28 ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 25.57/17.28 inference(skolemize,[status(sab)],[23681])).
% 25.57/17.28 tff(23683,plain,
% 25.57/17.28 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 25.57/17.28 inference(modus_ponens,[status(thm)],[23682, 23678])).
% 25.57/17.28 tff(23684,plain,
% 25.57/17.28 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB153, bitIndex2)) | v88(constB153, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB153, bitIndex2)) | v88(constB153, bitIndex2))),
% 25.57/17.28 inference(rewrite,[status(thm)],[])).
% 25.57/17.28 tff(23685,plain,
% 25.57/17.28 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB153, bitIndex2)) | v88(constB153, bitIndex2))),
% 25.57/17.28 inference(quant_inst,[status(thm)],[])).
% 25.57/17.28 tff(23686,plain,
% 25.57/17.28 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB153, bitIndex2)) | v88(constB153, bitIndex2)),
% 25.57/17.28 inference(modus_ponens,[status(thm)],[23685, 23684])).
% 25.57/17.28 tff(23687,plain,
% 25.57/17.28 (v88(constB153, bitIndex2)),
% 25.57/17.28 inference(unit_resolution,[status(thm)],[23686, 23683, 23676])).
% 25.57/17.28 tff(23688,plain,
% 25.57/17.28 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2))) <=> ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2))))),
% 25.57/17.28 inference(bind,[status(th)],[])).
% 25.57/17.28 tff(23689,plain,
% 25.57/17.28 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))),
% 25.57/17.28 inference(quant_intro,[status(thm)],[23688])).
% 25.57/17.28 tff(23690,plain,
% 25.57/17.28 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))),
% 25.57/17.28 inference(rewrite,[status(thm)],[])).
% 25.57/17.28 tff(23691,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_2')).
% 25.57/17.28 tff(23692,plain,
% 25.57/17.28 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))),
% 25.57/17.28 inference(modus_ponens,[status(thm)],[23691, 23690])).
% 25.57/17.28 tff(23693,plain,(
% 25.57/17.28 ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))),
% 25.57/17.28 inference(skolemize,[status(sab)],[23692])).
% 25.57/17.28 tff(23694,plain,
% 25.57/17.28 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))),
% 25.57/17.28 inference(modus_ponens,[status(thm)],[23693, 23689])).
% 25.57/17.28 tff(23695,plain,
% 25.57/17.28 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v139(constB153)) | (~v88(constB153, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v139(constB153)) | (~v88(constB153, bitIndex2)))),
% 25.57/17.28 inference(rewrite,[status(thm)],[])).
% 25.57/17.28 tff(23696,plain,
% 25.57/17.28 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v139(constB153)) | (~v88(constB153, bitIndex2)))),
% 25.57/17.28 inference(quant_inst,[status(thm)],[])).
% 25.57/17.28 tff(23697,plain,
% 25.57/17.28 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v139(constB153)) | (~v88(constB153, bitIndex2))),
% 25.57/17.28 inference(modus_ponens,[status(thm)],[23696, 23695])).
% 25.57/17.28 tff(23698,plain,
% 25.57/17.28 (~v139(constB153)),
% 25.57/17.28 inference(unit_resolution,[status(thm)],[23697, 23694, 23687])).
% 25.57/17.28 tff(23699,plain,
% 25.57/17.28 (^[VarCurr: state_type] : refl(((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2))) <=> ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2))))),
% 25.57/17.28 inference(bind,[status(th)],[])).
% 25.57/17.28 tff(23700,plain,
% 25.57/17.28 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))),
% 25.57/17.28 inference(quant_intro,[status(thm)],[23699])).
% 25.57/17.28 tff(23701,plain,
% 25.57/17.28 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))),
% 25.57/17.28 inference(rewrite,[status(thm)],[])).
% 25.57/17.28 tff(23702,axiom,(![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_3')).
% 25.57/17.28 tff(23703,plain,
% 25.57/17.28 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))),
% 25.57/17.28 inference(modus_ponens,[status(thm)],[23702, 23701])).
% 25.57/17.28 tff(23704,plain,(
% 25.57/17.28 ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))),
% 25.57/17.28 inference(skolemize,[status(sab)],[23703])).
% 25.57/17.28 tff(23705,plain,
% 25.57/17.28 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))),
% 25.57/17.28 inference(modus_ponens,[status(thm)],[23704, 23700])).
% 25.57/17.28 tff(23706,plain,
% 25.57/17.28 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v140(constB153)) | (~v88(constB153, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v140(constB153)) | (~v88(constB153, bitIndex2)))),
% 25.57/17.28 inference(rewrite,[status(thm)],[])).
% 25.57/17.28 tff(23707,plain,
% 25.57/17.28 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v140(constB153)) | (~v88(constB153, bitIndex2)))),
% 25.57/17.28 inference(quant_inst,[status(thm)],[])).
% 25.57/17.28 tff(23708,plain,
% 25.57/17.28 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v140(constB153)) | (~v88(constB153, bitIndex2))),
% 25.57/17.28 inference(modus_ponens,[status(thm)],[23707, 23706])).
% 25.57/17.28 tff(23709,plain,
% 25.57/17.28 (~v140(constB153)),
% 25.57/17.28 inference(unit_resolution,[status(thm)],[23708, 23705, 23687])).
% 25.57/17.28 tff(23710,plain,
% 25.57/17.28 (^[VarCurr: state_type] : refl((v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr))) <=> (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr))))),
% 25.57/17.28 inference(bind,[status(th)],[])).
% 25.57/17.28 tff(23711,plain,
% 25.57/17.28 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr))) <=> ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))),
% 25.57/17.28 inference(quant_intro,[status(thm)],[23710])).
% 25.57/17.28 tff(23712,plain,
% 25.57/17.28 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr))) <=> ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))),
% 25.57/17.28 inference(rewrite,[status(thm)],[])).
% 25.57/17.28 tff(23713,plain,
% 25.57/17.28 (^[VarCurr: state_type] : rewrite(((v139(VarCurr) | v140(VarCurr)) | (~v170(VarCurr))) <=> (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr))))),
% 25.57/17.28 inference(bind,[status(th)],[])).
% 25.57/17.28 tff(23714,plain,
% 25.57/17.28 (![VarCurr: state_type] : ((v139(VarCurr) | v140(VarCurr)) | (~v170(VarCurr))) <=> ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))),
% 25.57/17.28 inference(quant_intro,[status(thm)],[23713])).
% 25.57/17.28 tff(23715,axiom,(![VarCurr: state_type] : ((v139(VarCurr) | v140(VarCurr)) | (~v170(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2_1_1')).
% 25.57/17.28 tff(23716,plain,
% 25.57/17.28 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))),
% 25.57/17.28 inference(modus_ponens,[status(thm)],[23715, 23714])).
% 25.57/17.28 tff(23717,plain,
% 25.57/17.28 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))),
% 25.57/17.28 inference(modus_ponens,[status(thm)],[23716, 23712])).
% 25.57/17.28 tff(23718,plain,(
% 25.57/17.28 ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))),
% 25.57/17.28 inference(skolemize,[status(sab)],[23717])).
% 25.57/17.28 tff(23719,plain,
% 25.57/17.28 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))),
% 25.57/17.28 inference(modus_ponens,[status(thm)],[23718, 23711])).
% 25.57/17.28 tff(23720,plain,
% 25.57/17.28 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB153) | v140(constB153) | (~v170(constB153)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB153) | v140(constB153) | (~v170(constB153)))),
% 25.57/17.28 inference(rewrite,[status(thm)],[])).
% 25.57/17.28 tff(23721,plain,
% 25.57/17.28 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB153) | v140(constB153) | (~v170(constB153)))),
% 25.57/17.28 inference(quant_inst,[status(thm)],[])).
% 25.57/17.28 tff(23722,plain,
% 25.57/17.28 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB153) | v140(constB153) | (~v170(constB153))),
% 25.57/17.28 inference(modus_ponens,[status(thm)],[23721, 23720])).
% 25.57/17.28 tff(23723,plain,
% 25.57/17.28 (~v170(constB153)),
% 25.57/17.28 inference(unit_resolution,[status(thm)],[23722, 23719, 23709, 23698])).
% 25.57/17.28 tff(23724,plain,
% 25.57/17.28 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB151)) | (~v130(constB151, bitIndex1)))),
% 25.57/17.28 inference(rewrite,[status(thm)],[])).
% 25.57/17.28 tff(23725,plain,
% 25.57/17.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex1)))),
% 25.57/17.28 inference(quant_inst,[status(thm)],[])).
% 25.57/17.28 tff(23726,plain,
% 25.57/17.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB151)) | (~v130(constB151, bitIndex1))),
% 25.57/17.28 inference(modus_ponens,[status(thm)],[23725, 23724])).
% 25.57/17.28 tff(23727,plain,
% 25.57/17.28 (~v130(constB151, bitIndex1)),
% 25.57/17.28 inference(unit_resolution,[status(thm)],[23726, 2792, 23555])).
% 25.57/17.28 tff(23728,plain,
% 25.57/17.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))),
% 25.57/17.28 inference(rewrite,[status(thm)],[])).
% 25.57/17.28 tff(23729,plain,
% 25.57/17.28 ((v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1))) <=> ((~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))),
% 25.57/17.28 inference(rewrite,[status(thm)],[])).
% 25.57/17.28 tff(23730,plain,
% 25.57/17.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1)))),
% 25.57/17.28 inference(monotonicity,[status(thm)],[23729])).
% 25.57/17.28 tff(23731,plain,
% 25.57/17.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))),
% 25.57/17.28 inference(transitivity,[status(thm)],[23730, 23728])).
% 25.57/17.28 tff(23732,plain,
% 25.57/17.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1)))),
% 25.57/17.28 inference(quant_inst,[status(thm)],[])).
% 25.57/17.28 tff(23733,plain,
% 25.57/17.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1)),
% 25.57/17.28 inference(modus_ponens,[status(thm)],[23732, 23731])).
% 25.57/17.28 tff(23734,plain,
% 25.57/17.28 ((~v127(constB151, bitIndex1)) | v130(constB151, bitIndex1)),
% 25.57/17.28 inference(unit_resolution,[status(thm)],[23733, 1270, 23578])).
% 25.57/17.28 tff(23735,plain,
% 25.57/17.28 (~v127(constB151, bitIndex1)),
% 25.57/17.28 inference(unit_resolution,[status(thm)],[23734, 23727])).
% 25.57/17.28 tff(23736,plain,
% 25.57/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1)))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23737,plain,
% 25.57/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1)))),
% 25.57/17.29 inference(quant_inst,[status(thm)],[])).
% 25.57/17.29 tff(23738,plain,
% 25.57/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23737, 23736])).
% 25.57/17.29 tff(23739,plain,
% 25.57/17.29 (v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1))),
% 25.57/17.29 inference(unit_resolution,[status(thm)],[23738, 1288, 23596])).
% 25.57/17.29 tff(23740,plain,
% 25.57/17.29 (~v129(constB152, bitIndex1)),
% 25.57/17.29 inference(unit_resolution,[status(thm)],[23739, 23735])).
% 25.57/17.29 tff(23741,plain,
% 25.57/17.29 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23742,plain,
% 25.57/17.29 (((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1)) <=> ((~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23743,plain,
% 25.57/17.29 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152))))),
% 25.57/17.29 inference(monotonicity,[status(thm)],[23742])).
% 25.57/17.29 tff(23744,plain,
% 25.57/17.29 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))),
% 25.57/17.29 inference(transitivity,[status(thm)],[23743, 23741])).
% 25.57/17.29 tff(23745,plain,
% 25.57/17.29 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1))),
% 25.57/17.29 inference(quant_inst,[status(thm)],[])).
% 25.57/17.29 tff(23746,plain,
% 25.57/17.29 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23745, 23744])).
% 25.57/17.29 tff(23747,plain,
% 25.57/17.29 ((~v90(constB152, bitIndex1)) | (~v100(constB152))),
% 25.57/17.29 inference(unit_resolution,[status(thm)],[23746, 1303, 23740])).
% 25.57/17.29 tff(23748,plain,
% 25.57/17.29 (~v90(constB152, bitIndex1)),
% 25.57/17.29 inference(unit_resolution,[status(thm)],[23747, 23627])).
% 25.57/17.29 tff(23749,plain,
% 25.57/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23750,plain,
% 25.57/17.29 (((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1))) <=> (v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23751,plain,
% 25.57/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1))))),
% 25.57/17.29 inference(monotonicity,[status(thm)],[23750])).
% 25.57/17.29 tff(23752,plain,
% 25.57/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 25.57/17.29 inference(transitivity,[status(thm)],[23751, 23749])).
% 25.57/17.29 tff(23753,plain,
% 25.57/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 25.57/17.29 inference(quant_inst,[status(thm)],[])).
% 25.57/17.29 tff(23754,plain,
% 25.57/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23753, 23752])).
% 25.57/17.29 tff(23755,plain,
% 25.57/17.29 (v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1))),
% 25.57/17.29 inference(unit_resolution,[status(thm)],[23754, 913, 23655])).
% 25.57/17.29 tff(23756,plain,
% 25.57/17.29 (v90(constB152, bitIndex1) | (~v90(constB153, bitIndex1))),
% 25.57/17.29 inference(unit_resolution,[status(thm)],[23755, 23667])).
% 25.57/17.29 tff(23757,plain,
% 25.57/17.29 (~v90(constB153, bitIndex1)),
% 25.57/17.29 inference(unit_resolution,[status(thm)],[23756, 23748])).
% 25.57/17.29 tff(23758,plain,
% 25.57/17.29 (^[VarCurr: state_type] : refl(((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1)) <=> ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1)))),
% 25.57/17.29 inference(bind,[status(th)],[])).
% 25.57/17.29 tff(23759,plain,
% 25.57/17.29 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))),
% 25.57/17.29 inference(quant_intro,[status(thm)],[23758])).
% 25.57/17.29 tff(23760,plain,
% 25.57/17.29 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23761,axiom,(![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_4')).
% 25.57/17.29 tff(23762,plain,
% 25.57/17.29 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23761, 23760])).
% 25.57/17.29 tff(23763,plain,(
% 25.57/17.29 ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))),
% 25.57/17.29 inference(skolemize,[status(sab)],[23762])).
% 25.57/17.29 tff(23764,plain,
% 25.57/17.29 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23763, 23759])).
% 25.57/17.29 tff(23765,plain,
% 25.57/17.29 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB153, bitIndex1)) | v90(constB153, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB153, bitIndex1)) | v90(constB153, bitIndex1))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23766,plain,
% 25.57/17.29 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB153, bitIndex1)) | v90(constB153, bitIndex1))),
% 25.57/17.29 inference(quant_inst,[status(thm)],[])).
% 25.57/17.29 tff(23767,plain,
% 25.57/17.29 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB153, bitIndex1)) | v90(constB153, bitIndex1)),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23766, 23765])).
% 25.57/17.29 tff(23768,plain,
% 25.57/17.29 (~v88(constB153, bitIndex1)),
% 25.57/17.29 inference(unit_resolution,[status(thm)],[23767, 23764, 23757])).
% 25.57/17.29 tff(23769,plain,
% 25.57/17.29 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB151)) | (~v130(constB151, bitIndex0)))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23770,plain,
% 25.57/17.29 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex0)))),
% 25.57/17.29 inference(quant_inst,[status(thm)],[])).
% 25.57/17.29 tff(23771,plain,
% 25.57/17.29 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB151)) | (~v130(constB151, bitIndex0))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23770, 23769])).
% 25.57/17.29 tff(23772,plain,
% 25.57/17.29 (~v130(constB151, bitIndex0)),
% 25.57/17.29 inference(unit_resolution,[status(thm)],[23771, 2833, 23555])).
% 25.57/17.29 tff(23773,plain,
% 25.57/17.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23774,plain,
% 25.57/17.29 ((v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0))) <=> ((~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23775,plain,
% 25.57/17.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0)))),
% 25.57/17.29 inference(monotonicity,[status(thm)],[23774])).
% 25.57/17.29 tff(23776,plain,
% 25.57/17.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))),
% 25.57/17.29 inference(transitivity,[status(thm)],[23775, 23773])).
% 25.57/17.29 tff(23777,plain,
% 25.57/17.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0)))),
% 25.57/17.29 inference(quant_inst,[status(thm)],[])).
% 25.57/17.29 tff(23778,plain,
% 25.57/17.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0)),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23777, 23776])).
% 25.57/17.29 tff(23779,plain,
% 25.57/17.29 ((~v127(constB151, bitIndex0)) | v130(constB151, bitIndex0)),
% 25.57/17.29 inference(unit_resolution,[status(thm)],[23778, 1341, 23578])).
% 25.57/17.29 tff(23780,plain,
% 25.57/17.29 (~v127(constB151, bitIndex0)),
% 25.57/17.29 inference(unit_resolution,[status(thm)],[23779, 23772])).
% 25.57/17.29 tff(23781,plain,
% 25.57/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0)))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23782,plain,
% 25.57/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0)))),
% 25.57/17.29 inference(quant_inst,[status(thm)],[])).
% 25.57/17.29 tff(23783,plain,
% 25.57/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23782, 23781])).
% 25.57/17.29 tff(23784,plain,
% 25.57/17.29 (v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0))),
% 25.57/17.29 inference(unit_resolution,[status(thm)],[23783, 1359, 23596])).
% 25.57/17.29 tff(23785,plain,
% 25.57/17.29 (~v129(constB152, bitIndex0)),
% 25.57/17.29 inference(unit_resolution,[status(thm)],[23784, 23780])).
% 25.57/17.29 tff(23786,plain,
% 25.57/17.29 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23787,plain,
% 25.57/17.29 (((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0)) <=> ((~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23788,plain,
% 25.57/17.29 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152))))),
% 25.57/17.29 inference(monotonicity,[status(thm)],[23787])).
% 25.57/17.29 tff(23789,plain,
% 25.57/17.29 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))),
% 25.57/17.29 inference(transitivity,[status(thm)],[23788, 23786])).
% 25.57/17.29 tff(23790,plain,
% 25.57/17.29 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0))),
% 25.57/17.29 inference(quant_inst,[status(thm)],[])).
% 25.57/17.29 tff(23791,plain,
% 25.57/17.29 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23790, 23789])).
% 25.57/17.29 tff(23792,plain,
% 25.57/17.29 ((~v90(constB152, bitIndex0)) | (~v100(constB152))),
% 25.57/17.29 inference(unit_resolution,[status(thm)],[23791, 1374, 23785])).
% 25.57/17.29 tff(23793,plain,
% 25.57/17.29 (~v90(constB152, bitIndex0)),
% 25.57/17.29 inference(unit_resolution,[status(thm)],[23792, 23627])).
% 25.57/17.29 tff(23794,plain,
% 25.57/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23795,plain,
% 25.57/17.29 (((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0))) <=> (v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23796,plain,
% 25.57/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0))))),
% 25.57/17.29 inference(monotonicity,[status(thm)],[23795])).
% 25.57/17.29 tff(23797,plain,
% 25.57/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 25.57/17.29 inference(transitivity,[status(thm)],[23796, 23794])).
% 25.57/17.29 tff(23798,plain,
% 25.57/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 25.57/17.29 inference(quant_inst,[status(thm)],[])).
% 25.57/17.29 tff(23799,plain,
% 25.57/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23798, 23797])).
% 25.57/17.29 tff(23800,plain,
% 25.57/17.29 (v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0))),
% 25.57/17.29 inference(unit_resolution,[status(thm)],[23799, 934, 23655])).
% 25.57/17.29 tff(23801,plain,
% 25.57/17.29 (v90(constB152, bitIndex0) | (~v90(constB153, bitIndex0))),
% 25.57/17.29 inference(unit_resolution,[status(thm)],[23800, 23667])).
% 25.57/17.29 tff(23802,plain,
% 25.57/17.29 (~v90(constB153, bitIndex0)),
% 25.57/17.29 inference(unit_resolution,[status(thm)],[23801, 23793])).
% 25.57/17.29 tff(23803,plain,
% 25.57/17.29 (^[VarCurr: state_type] : refl(((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0)) <=> ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0)))),
% 25.57/17.29 inference(bind,[status(th)],[])).
% 25.57/17.29 tff(23804,plain,
% 25.57/17.29 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))),
% 25.57/17.29 inference(quant_intro,[status(thm)],[23803])).
% 25.57/17.29 tff(23805,plain,
% 25.57/17.29 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23806,axiom,(![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_2')).
% 25.57/17.29 tff(23807,plain,
% 25.57/17.29 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23806, 23805])).
% 25.57/17.29 tff(23808,plain,(
% 25.57/17.29 ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))),
% 25.57/17.29 inference(skolemize,[status(sab)],[23807])).
% 25.57/17.29 tff(23809,plain,
% 25.57/17.29 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23808, 23804])).
% 25.57/17.29 tff(23810,plain,
% 25.57/17.29 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB153, bitIndex0)) | v90(constB153, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB153, bitIndex0)) | v90(constB153, bitIndex0))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23811,plain,
% 25.57/17.29 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB153, bitIndex0)) | v90(constB153, bitIndex0))),
% 25.57/17.29 inference(quant_inst,[status(thm)],[])).
% 25.57/17.29 tff(23812,plain,
% 25.57/17.29 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB153, bitIndex0)) | v90(constB153, bitIndex0)),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23811, 23810])).
% 25.57/17.29 tff(23813,plain,
% 25.57/17.29 (~v88(constB153, bitIndex0)),
% 25.57/17.29 inference(unit_resolution,[status(thm)],[23812, 23809, 23802])).
% 25.57/17.29 tff(23814,plain,
% 25.57/17.29 (^[VarCurr: state_type] : refl(((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr)))),
% 25.57/17.29 inference(bind,[status(th)],[])).
% 25.57/17.29 tff(23815,plain,
% 25.57/17.29 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 25.57/17.29 inference(quant_intro,[status(thm)],[23814])).
% 25.57/17.29 tff(23816,plain,
% 25.57/17.29 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23817,plain,
% 25.57/17.29 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2))) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0))), ((((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2))) | v146(VarCurr)) <=> (((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0)) | v146(VarCurr)))), rewrite((((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0)) | v146(VarCurr)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))), ((((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2))) | v146(VarCurr)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))))),
% 25.57/17.29 inference(bind,[status(th)],[])).
% 25.57/17.29 tff(23818,plain,
% 25.57/17.29 (![VarCurr: state_type] : (((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2))) | v146(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 25.57/17.29 inference(quant_intro,[status(thm)],[23817])).
% 25.57/17.29 tff(23819,axiom,(![VarCurr: state_type] : (((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2))) | v146(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_14_1_1_1')).
% 25.57/17.29 tff(23820,plain,
% 25.57/17.29 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23819, 23818])).
% 25.57/17.29 tff(23821,plain,
% 25.57/17.29 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23820, 23816])).
% 25.57/17.29 tff(23822,plain,(
% 25.57/17.29 ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 25.57/17.29 inference(skolemize,[status(sab)],[23821])).
% 25.57/17.29 tff(23823,plain,
% 25.57/17.29 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23822, 23815])).
% 25.57/17.29 tff(23824,plain,
% 25.57/17.29 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v146(constB153) | (~v88(constB153, bitIndex2)) | v88(constB153, bitIndex0) | v88(constB153, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v146(constB153) | (~v88(constB153, bitIndex2)) | v88(constB153, bitIndex0) | v88(constB153, bitIndex1))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23825,plain,
% 25.57/17.29 (((~v88(constB153, bitIndex2)) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0) | v146(constB153)) <=> (v146(constB153) | (~v88(constB153, bitIndex2)) | v88(constB153, bitIndex0) | v88(constB153, bitIndex1))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23826,plain,
% 25.57/17.29 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB153, bitIndex2)) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0) | v146(constB153))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v146(constB153) | (~v88(constB153, bitIndex2)) | v88(constB153, bitIndex0) | v88(constB153, bitIndex1)))),
% 25.57/17.29 inference(monotonicity,[status(thm)],[23825])).
% 25.57/17.29 tff(23827,plain,
% 25.57/17.29 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB153, bitIndex2)) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0) | v146(constB153))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v146(constB153) | (~v88(constB153, bitIndex2)) | v88(constB153, bitIndex0) | v88(constB153, bitIndex1))),
% 25.57/17.29 inference(transitivity,[status(thm)],[23826, 23824])).
% 25.57/17.29 tff(23828,plain,
% 25.57/17.29 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB153, bitIndex2)) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0) | v146(constB153))),
% 25.57/17.29 inference(quant_inst,[status(thm)],[])).
% 25.57/17.29 tff(23829,plain,
% 25.57/17.29 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v146(constB153) | (~v88(constB153, bitIndex2)) | v88(constB153, bitIndex0) | v88(constB153, bitIndex1)),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23828, 23827])).
% 25.57/17.29 tff(23830,plain,
% 25.57/17.29 (v146(constB153)),
% 25.57/17.29 inference(unit_resolution,[status(thm)],[23829, 23823, 23687, 23813, 23768])).
% 25.57/17.29 tff(23831,plain,
% 25.57/17.29 (^[VarCurr: state_type] : refl(((~v146(VarCurr)) | v145(VarCurr)) <=> ((~v146(VarCurr)) | v145(VarCurr)))),
% 25.57/17.29 inference(bind,[status(th)],[])).
% 25.57/17.29 tff(23832,plain,
% 25.57/17.29 (![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr)) <=> ![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))),
% 25.57/17.29 inference(quant_intro,[status(thm)],[23831])).
% 25.57/17.29 tff(23833,plain,
% 25.57/17.29 (![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr)) <=> ![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23834,axiom,(![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_32_1_2')).
% 25.57/17.29 tff(23835,plain,
% 25.57/17.29 (![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23834, 23833])).
% 25.57/17.29 tff(23836,plain,(
% 25.57/17.29 ![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))),
% 25.57/17.29 inference(skolemize,[status(sab)],[23835])).
% 25.57/17.29 tff(23837,plain,
% 25.57/17.29 (![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23836, 23832])).
% 25.57/17.29 tff(23838,plain,
% 25.57/17.29 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB153) | (~v146(constB153)))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB153) | (~v146(constB153)))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23839,plain,
% 25.57/17.29 (((~v146(constB153)) | v145(constB153)) <=> (v145(constB153) | (~v146(constB153)))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23840,plain,
% 25.57/17.29 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB153)) | v145(constB153))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB153) | (~v146(constB153))))),
% 25.57/17.29 inference(monotonicity,[status(thm)],[23839])).
% 25.57/17.29 tff(23841,plain,
% 25.57/17.29 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB153)) | v145(constB153))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB153) | (~v146(constB153)))),
% 25.57/17.29 inference(transitivity,[status(thm)],[23840, 23838])).
% 25.57/17.29 tff(23842,plain,
% 25.57/17.29 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB153)) | v145(constB153))),
% 25.57/17.29 inference(quant_inst,[status(thm)],[])).
% 25.57/17.29 tff(23843,plain,
% 25.57/17.29 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB153) | (~v146(constB153))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23842, 23841])).
% 25.57/17.29 tff(23844,plain,
% 25.57/17.29 (v145(constB153)),
% 25.57/17.29 inference(unit_resolution,[status(thm)],[23843, 23837, 23830])).
% 25.57/17.29 tff(23845,plain,
% 25.57/17.29 (^[VarCurr: state_type] : refl(((~v145(VarCurr)) | v166(VarCurr)) <=> ((~v145(VarCurr)) | v166(VarCurr)))),
% 25.57/17.29 inference(bind,[status(th)],[])).
% 25.57/17.29 tff(23846,plain,
% 25.57/17.29 (![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr)) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))),
% 25.57/17.29 inference(quant_intro,[status(thm)],[23845])).
% 25.57/17.29 tff(23847,plain,
% 25.57/17.29 (![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr)) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23848,axiom,(![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39_1_1_2')).
% 25.57/17.29 tff(23849,plain,
% 25.57/17.29 (![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23848, 23847])).
% 25.57/17.29 tff(23850,plain,(
% 25.57/17.29 ![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))),
% 25.57/17.29 inference(skolemize,[status(sab)],[23849])).
% 25.57/17.29 tff(23851,plain,
% 25.57/17.29 (![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23850, 23846])).
% 25.57/17.29 tff(23852,plain,
% 25.57/17.29 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | (v166(constB153) | (~v145(constB153)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB153) | (~v145(constB153)))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23853,plain,
% 25.57/17.29 (((~v145(constB153)) | v166(constB153)) <=> (v166(constB153) | (~v145(constB153)))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23854,plain,
% 25.57/17.29 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB153)) | v166(constB153))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | (v166(constB153) | (~v145(constB153))))),
% 25.57/17.29 inference(monotonicity,[status(thm)],[23853])).
% 25.57/17.29 tff(23855,plain,
% 25.57/17.29 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB153)) | v166(constB153))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB153) | (~v145(constB153)))),
% 25.57/17.29 inference(transitivity,[status(thm)],[23854, 23852])).
% 25.57/17.29 tff(23856,plain,
% 25.57/17.29 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB153)) | v166(constB153))),
% 25.57/17.29 inference(quant_inst,[status(thm)],[])).
% 25.57/17.29 tff(23857,plain,
% 25.57/17.29 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB153) | (~v145(constB153))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23856, 23855])).
% 25.57/17.29 tff(23858,plain,
% 25.57/17.29 (v166(constB153)),
% 25.57/17.29 inference(unit_resolution,[status(thm)],[23857, 23851, 23844])).
% 25.57/17.29 tff(23859,plain,
% 25.57/17.29 (^[VarNext: state_type] : refl(((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext))) <=> ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext))))),
% 25.57/17.29 inference(bind,[status(th)],[])).
% 25.57/17.29 tff(23860,plain,
% 25.57/17.29 (![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext))) <=> ![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 25.57/17.29 inference(quant_intro,[status(thm)],[23859])).
% 25.57/17.29 tff(23861,plain,
% 25.57/17.29 (![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext))) <=> ![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23862,plain,
% 25.57/17.29 (^[VarNext: state_type] : trans(monotonicity(rewrite(((~v166(VarNext)) | (~v163(VarNext))) <=> ((~v166(VarNext)) | (~v163(VarNext)))), ((((~v166(VarNext)) | (~v163(VarNext))) | v170(VarNext)) <=> (((~v166(VarNext)) | (~v163(VarNext))) | v170(VarNext)))), rewrite((((~v166(VarNext)) | (~v163(VarNext))) | v170(VarNext)) <=> ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))), ((((~v166(VarNext)) | (~v163(VarNext))) | v170(VarNext)) <=> ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))))),
% 25.57/17.29 inference(bind,[status(th)],[])).
% 25.57/17.29 tff(23863,plain,
% 25.57/17.29 (![VarNext: state_type] : (((~v166(VarNext)) | (~v163(VarNext))) | v170(VarNext)) <=> ![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 25.57/17.29 inference(quant_intro,[status(thm)],[23862])).
% 25.57/17.29 tff(23864,axiom,(![VarNext: state_type] : (((~v166(VarNext)) | (~v163(VarNext))) | v170(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_5_2')).
% 25.57/17.29 tff(23865,plain,
% 25.57/17.29 (![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23864, 23863])).
% 25.57/17.29 tff(23866,plain,
% 25.57/17.29 (![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23865, 23861])).
% 25.57/17.29 tff(23867,plain,(
% 25.57/17.29 ![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 25.57/17.29 inference(skolemize,[status(sab)],[23866])).
% 25.57/17.29 tff(23868,plain,
% 25.57/17.29 (![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23867, 23860])).
% 25.57/17.29 tff(23869,plain,
% 25.57/17.29 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB153)) | (~v166(constB153)) | v170(constB153))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB153)) | (~v166(constB153)) | v170(constB153))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23870,plain,
% 25.57/17.29 (((~v166(constB153)) | v170(constB153) | (~v163(constB153))) <=> ((~v163(constB153)) | (~v166(constB153)) | v170(constB153))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23871,plain,
% 25.57/17.29 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB153)) | v170(constB153) | (~v163(constB153)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB153)) | (~v166(constB153)) | v170(constB153)))),
% 25.57/17.29 inference(monotonicity,[status(thm)],[23870])).
% 25.57/17.29 tff(23872,plain,
% 25.57/17.29 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB153)) | v170(constB153) | (~v163(constB153)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB153)) | (~v166(constB153)) | v170(constB153))),
% 25.57/17.29 inference(transitivity,[status(thm)],[23871, 23869])).
% 25.57/17.29 tff(23873,plain,
% 25.57/17.29 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB153)) | v170(constB153) | (~v163(constB153)))),
% 25.57/17.29 inference(quant_inst,[status(thm)],[])).
% 25.57/17.29 tff(23874,plain,
% 25.57/17.29 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB153)) | (~v166(constB153)) | v170(constB153)),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23873, 23872])).
% 25.57/17.29 tff(23875,plain,
% 25.57/17.29 (~v163(constB153)),
% 25.57/17.29 inference(unit_resolution,[status(thm)],[23874, 23868, 23858, 23723])).
% 25.57/17.29 tff(23876,plain,
% 25.57/17.29 (^[VarCurr: state_type] : refl((v163(VarCurr) | (~v184(VarCurr))) <=> (v163(VarCurr) | (~v184(VarCurr))))),
% 25.57/17.29 inference(bind,[status(th)],[])).
% 25.57/17.29 tff(23877,plain,
% 25.57/17.29 (![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr))) <=> ![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))),
% 25.57/17.29 inference(quant_intro,[status(thm)],[23876])).
% 25.57/17.29 tff(23878,plain,
% 25.57/17.29 (![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr))) <=> ![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23879,plain,
% 25.57/17.29 (^[VarCurr: state_type] : rewrite(((~v184(VarCurr)) | v163(VarCurr)) <=> (v163(VarCurr) | (~v184(VarCurr))))),
% 25.57/17.29 inference(bind,[status(th)],[])).
% 25.57/17.29 tff(23880,plain,
% 25.57/17.29 (![VarCurr: state_type] : ((~v184(VarCurr)) | v163(VarCurr)) <=> ![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))),
% 25.57/17.29 inference(quant_intro,[status(thm)],[23879])).
% 25.57/17.29 tff(23881,axiom,(![VarCurr: state_type] : ((~v184(VarCurr)) | v163(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43_1_1_3')).
% 25.57/17.29 tff(23882,plain,
% 25.57/17.29 (![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23881, 23880])).
% 25.57/17.29 tff(23883,plain,
% 25.57/17.29 (![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23882, 23878])).
% 25.57/17.29 tff(23884,plain,(
% 25.57/17.29 ![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))),
% 25.57/17.29 inference(skolemize,[status(sab)],[23883])).
% 25.57/17.29 tff(23885,plain,
% 25.57/17.29 (![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23884, 23877])).
% 25.57/17.29 tff(23886,plain,
% 25.57/17.29 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB153) | (~v184(constB153)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB153) | (~v184(constB153)))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23887,plain,
% 25.57/17.29 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB153) | (~v184(constB153)))),
% 25.57/17.29 inference(quant_inst,[status(thm)],[])).
% 25.57/17.29 tff(23888,plain,
% 25.57/17.29 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB153) | (~v184(constB153))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23887, 23886])).
% 25.57/17.29 tff(23889,plain,
% 25.57/17.29 (~v184(constB153)),
% 25.57/17.29 inference(unit_resolution,[status(thm)],[23888, 23885, 23875])).
% 25.57/17.29 tff(23890,plain,
% 25.57/17.29 (^[VarCurr: state_type] : refl((v184(VarCurr) | (~v180(VarCurr))) <=> (v184(VarCurr) | (~v180(VarCurr))))),
% 25.57/17.29 inference(bind,[status(th)],[])).
% 25.57/17.29 tff(23891,plain,
% 25.57/17.29 (![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))),
% 25.57/17.29 inference(quant_intro,[status(thm)],[23890])).
% 25.57/17.29 tff(23892,plain,
% 25.57/17.29 (![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))),
% 25.57/17.29 inference(rewrite,[status(thm)],[])).
% 25.57/17.29 tff(23893,plain,
% 25.57/17.29 (^[VarCurr: state_type] : rewrite(((~v180(VarCurr)) | v184(VarCurr)) <=> (v184(VarCurr) | (~v180(VarCurr))))),
% 25.57/17.29 inference(bind,[status(th)],[])).
% 25.57/17.29 tff(23894,plain,
% 25.57/17.29 (![VarCurr: state_type] : ((~v180(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))),
% 25.57/17.29 inference(quant_intro,[status(thm)],[23893])).
% 25.57/17.29 tff(23895,axiom,(![VarCurr: state_type] : ((~v180(VarCurr)) | v184(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44_1_1_2')).
% 25.57/17.29 tff(23896,plain,
% 25.57/17.29 (![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23895, 23894])).
% 25.57/17.29 tff(23897,plain,
% 25.57/17.29 (![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))),
% 25.57/17.29 inference(modus_ponens,[status(thm)],[23896, 23892])).
% 25.57/17.29 tff(23898,plain,(
% 25.57/17.29 ![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))),
% 25.57/17.29 inference(skolemize,[status(sab)],[23897])).
% 25.57/17.29 tff(23899,plain,
% 25.57/17.29 (![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23898, 23891])).
% 25.57/17.30 tff(23900,plain,
% 25.57/17.30 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB153) | (~v180(constB153)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB153) | (~v180(constB153)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(23901,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB153) | (~v180(constB153)))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(23902,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB153) | (~v180(constB153))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23901, 23900])).
% 25.57/17.30 tff(23903,plain,
% 25.57/17.30 (~v180(constB153)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[23902, 23899, 23889])).
% 25.57/17.30 tff(23904,plain,
% 25.57/17.30 (nextState(constB153, constB154) <=> nextState(constB153, constB154)),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(23905,axiom,(nextState(constB153, constB154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_153_1')).
% 25.57/17.30 tff(23906,plain,
% 25.57/17.30 (nextState(constB153, constB154)),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23905, 23904])).
% 25.57/17.30 tff(23907,plain,
% 25.57/17.30 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext))))),
% 25.57/17.30 inference(bind,[status(th)],[])).
% 25.57/17.30 tff(23908,plain,
% 25.57/17.30 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))),
% 25.57/17.30 inference(quant_intro,[status(thm)],[23907])).
% 25.57/17.30 tff(23909,plain,
% 25.57/17.30 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(23910,plain,
% 25.57/17.30 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v182(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v182(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v182(VarNext))) | v180(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v182(VarNext))) | v180(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v182(VarNext))) | v180(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v182(VarNext))) | v180(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))))),
% 25.57/17.30 inference(bind,[status(th)],[])).
% 25.57/17.30 tff(23911,plain,
% 25.57/17.30 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v182(VarNext))) | v180(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))),
% 25.57/17.30 inference(quant_intro,[status(thm)],[23910])).
% 25.57/17.30 tff(23912,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v182(VarNext))) | v180(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_11_1_2')).
% 25.57/17.30 tff(23913,plain,
% 25.57/17.30 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23912, 23911])).
% 25.57/17.30 tff(23914,plain,
% 25.57/17.30 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23913, 23909])).
% 25.57/17.30 tff(23915,plain,(
% 25.57/17.30 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))),
% 25.57/17.30 inference(skolemize,[status(sab)],[23914])).
% 25.57/17.30 tff(23916,plain,
% 25.57/17.30 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23915, 23908])).
% 25.57/17.30 tff(23917,plain,
% 25.57/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB153, constB154)) | v180(constB153) | (~v182(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB153, constB154)) | v180(constB153) | (~v182(constB154)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(23918,plain,
% 25.57/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB153, constB154)) | v180(constB153) | (~v182(constB154)))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(23919,plain,
% 25.57/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB153, constB154)) | v180(constB153) | (~v182(constB154))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23918, 23917])).
% 25.57/17.30 tff(23920,plain,
% 25.57/17.30 (v180(constB153) | (~v182(constB154))),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[23919, 23916, 23906])).
% 25.57/17.30 tff(23921,plain,
% 25.57/17.30 (~v182(constB154)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[23920, 23903])).
% 25.57/17.30 tff(23922,plain,
% 25.57/17.30 (^[VarCurr: state_type] : refl((v182(VarCurr) | (~v196(VarCurr))) <=> (v182(VarCurr) | (~v196(VarCurr))))),
% 25.57/17.30 inference(bind,[status(th)],[])).
% 25.57/17.30 tff(23923,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr))) <=> ![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))),
% 25.57/17.30 inference(quant_intro,[status(thm)],[23922])).
% 25.57/17.30 tff(23924,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr))) <=> ![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(23925,plain,
% 25.57/17.30 (^[VarCurr: state_type] : rewrite(((~v196(VarCurr)) | v182(VarCurr)) <=> (v182(VarCurr) | (~v196(VarCurr))))),
% 25.57/17.30 inference(bind,[status(th)],[])).
% 25.57/17.30 tff(23926,plain,
% 25.57/17.30 (![VarCurr: state_type] : ((~v196(VarCurr)) | v182(VarCurr)) <=> ![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))),
% 25.57/17.30 inference(quant_intro,[status(thm)],[23925])).
% 25.57/17.30 tff(23927,axiom,(![VarCurr: state_type] : ((~v196(VarCurr)) | v182(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_47_1_1_3')).
% 25.57/17.30 tff(23928,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23927, 23926])).
% 25.57/17.30 tff(23929,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23928, 23924])).
% 25.57/17.30 tff(23930,plain,(
% 25.57/17.30 ![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))),
% 25.57/17.30 inference(skolemize,[status(sab)],[23929])).
% 25.57/17.30 tff(23931,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23930, 23923])).
% 25.57/17.30 tff(23932,plain,
% 25.57/17.30 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB154) | (~v196(constB154)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB154) | (~v196(constB154)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(23933,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB154) | (~v196(constB154)))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(23934,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB154) | (~v196(constB154))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23933, 23932])).
% 25.57/17.30 tff(23935,plain,
% 25.57/17.30 (~v196(constB154)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[23934, 23931, 23921])).
% 25.57/17.30 tff(23936,assumption,(v18(constB154)), introduced(assumption)).
% 25.57/17.30 tff(23937,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB154))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(23938,plain,
% 25.57/17.30 ($false),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[23937, 16985, 23936])).
% 25.57/17.30 tff(23939,plain,(~v18(constB154)), inference(lemma,lemma(discharge,[]))).
% 25.57/17.30 tff(23940,plain,
% 25.57/17.30 (v1(constB154) <=> v1(constB154)),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(23941,axiom,(v1(constB154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_154_1')).
% 25.57/17.30 tff(23942,plain,
% 25.57/17.30 (v1(constB154)),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23941, 23940])).
% 25.57/17.30 tff(23943,plain,
% 25.57/17.30 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB154) | (~v1(constB154)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB154) | (~v1(constB154)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(23944,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB154) | (~v1(constB154)))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(23945,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB154) | (~v1(constB154))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23944, 23943])).
% 25.57/17.30 tff(23946,plain,
% 25.57/17.30 (v22(constB154)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[23945, 16998, 23942])).
% 25.57/17.30 tff(23947,plain,
% 25.57/17.30 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB154) | (~v22(constB154)) | (~v19(constB154)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB154) | (~v22(constB154)) | (~v19(constB154)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(23948,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB154) | (~v22(constB154)) | (~v19(constB154)))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(23949,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB154) | (~v22(constB154)) | (~v19(constB154))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23948, 23947])).
% 25.57/17.30 tff(23950,plain,
% 25.57/17.30 (v18(constB154) | (~v19(constB154))),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[23949, 17012, 23946])).
% 25.57/17.30 tff(23951,plain,
% 25.57/17.30 (~v19(constB154)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[23950, 23939])).
% 25.57/17.30 tff(23952,plain,
% 25.57/17.30 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB154) | v19(constB154))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB154) | v19(constB154))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(23953,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB154) | v19(constB154))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(23954,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB154) | v19(constB154)),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23953, 23952])).
% 25.57/17.30 tff(23955,plain,
% 25.57/17.30 (v13(constB154)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[23954, 17024, 23951])).
% 25.57/17.30 tff(23956,plain,
% 25.57/17.30 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB153) | (~v13(constB154)) | (~nextState(constB153, constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB153) | (~v13(constB154)) | (~nextState(constB153, constB154)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(23957,plain,
% 25.57/17.30 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB153) | (~v13(constB154)) | (~nextState(constB153, constB154)))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(23958,plain,
% 25.57/17.30 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB153) | (~v13(constB154)) | (~nextState(constB153, constB154))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23957, 23956])).
% 25.57/17.30 tff(23959,plain,
% 25.57/17.30 (v9(constB153) | (~v13(constB154))),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[23958, 17041, 23906])).
% 25.57/17.30 tff(23960,plain,
% 25.57/17.30 (v9(constB153)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[23959, 23955])).
% 25.57/17.30 tff(23961,plain,
% 25.57/17.30 (^[VarCurr: state_type] : refl((v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr)))),
% 25.57/17.30 inference(bind,[status(th)],[])).
% 25.57/17.30 tff(23962,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))),
% 25.57/17.30 inference(quant_intro,[status(thm)],[23961])).
% 25.57/17.30 tff(23963,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(23964,plain,
% 25.57/17.30 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v9(VarCurr)) | v1(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)))), ((((~v9(VarCurr)) | v1(VarCurr)) | v185(VarCurr)) <=> ((v1(VarCurr) | (~v9(VarCurr))) | v185(VarCurr)))), rewrite(((v1(VarCurr) | (~v9(VarCurr))) | v185(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))), ((((~v9(VarCurr)) | v1(VarCurr)) | v185(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))))),
% 25.57/17.30 inference(bind,[status(th)],[])).
% 25.57/17.30 tff(23965,plain,
% 25.57/17.30 (![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v185(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))),
% 25.57/17.30 inference(quant_intro,[status(thm)],[23964])).
% 25.57/17.30 tff(23966,axiom,(![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v185(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_42_1_1_1')).
% 25.57/17.30 tff(23967,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23966, 23965])).
% 25.57/17.30 tff(23968,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23967, 23963])).
% 25.57/17.30 tff(23969,plain,(
% 25.57/17.30 ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))),
% 25.57/17.30 inference(skolemize,[status(sab)],[23968])).
% 25.57/17.30 tff(23970,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23969, 23962])).
% 25.57/17.30 tff(23971,plain,
% 25.57/17.30 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB153) | (~v9(constB153)) | v185(constB153))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB153) | (~v9(constB153)) | v185(constB153))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(23972,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB153) | (~v9(constB153)) | v185(constB153))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(23973,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB153) | (~v9(constB153)) | v185(constB153)),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23972, 23971])).
% 25.57/17.30 tff(23974,plain,
% 25.57/17.30 ((~v9(constB153)) | v185(constB153)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[23973, 23970, 23652])).
% 25.57/17.30 tff(23975,plain,
% 25.57/17.30 (v185(constB153)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[23974, 23960])).
% 25.57/17.30 tff(23976,plain,
% 25.57/17.30 (^[VarCurr: state_type] : refl(((~v185(VarCurr)) | v195(VarCurr)) <=> ((~v185(VarCurr)) | v195(VarCurr)))),
% 25.57/17.30 inference(bind,[status(th)],[])).
% 25.57/17.30 tff(23977,plain,
% 25.57/17.30 (![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr)) <=> ![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))),
% 25.57/17.30 inference(quant_intro,[status(thm)],[23976])).
% 25.57/17.30 tff(23978,plain,
% 25.57/17.30 (![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr)) <=> ![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(23979,axiom,(![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_45_1_1_1')).
% 25.57/17.30 tff(23980,plain,
% 25.57/17.30 (![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23979, 23978])).
% 25.57/17.30 tff(23981,plain,(
% 25.57/17.30 ![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))),
% 25.57/17.30 inference(skolemize,[status(sab)],[23980])).
% 25.57/17.30 tff(23982,plain,
% 25.57/17.30 (![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23981, 23977])).
% 25.57/17.30 tff(23983,plain,
% 25.57/17.30 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (v195(constB153) | (~v185(constB153)))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB153) | (~v185(constB153)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(23984,plain,
% 25.57/17.30 (((~v185(constB153)) | v195(constB153)) <=> (v195(constB153) | (~v185(constB153)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(23985,plain,
% 25.57/17.30 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB153)) | v195(constB153))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (v195(constB153) | (~v185(constB153))))),
% 25.57/17.30 inference(monotonicity,[status(thm)],[23984])).
% 25.57/17.30 tff(23986,plain,
% 25.57/17.30 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB153)) | v195(constB153))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB153) | (~v185(constB153)))),
% 25.57/17.30 inference(transitivity,[status(thm)],[23985, 23983])).
% 25.57/17.30 tff(23987,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB153)) | v195(constB153))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(23988,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB153) | (~v185(constB153))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23987, 23986])).
% 25.57/17.30 tff(23989,plain,
% 25.57/17.30 (v195(constB153)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[23988, 23982, 23975])).
% 25.57/17.30 tff(23990,plain,
% 25.57/17.30 (^[VarCurr: state_type] : refl(((~v193(VarCurr)) | (~v195(VarCurr))) <=> ((~v193(VarCurr)) | (~v195(VarCurr))))),
% 25.57/17.30 inference(bind,[status(th)],[])).
% 25.57/17.30 tff(23991,plain,
% 25.57/17.30 (![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr))) <=> ![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))),
% 25.57/17.30 inference(quant_intro,[status(thm)],[23990])).
% 25.57/17.30 tff(23992,plain,
% 25.57/17.30 (![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr))) <=> ![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(23993,axiom,(![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_46_1_1_3')).
% 25.57/17.30 tff(23994,plain,
% 25.57/17.30 (![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23993, 23992])).
% 25.57/17.30 tff(23995,plain,(
% 25.57/17.30 ![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))),
% 25.57/17.30 inference(skolemize,[status(sab)],[23994])).
% 25.57/17.30 tff(23996,plain,
% 25.57/17.30 (![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23995, 23991])).
% 25.57/17.30 tff(23997,plain,
% 25.57/17.30 (((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB153)) | (~v195(constB153)))) <=> ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB153)) | (~v195(constB153)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(23998,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB153)) | (~v195(constB153)))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(23999,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB153)) | (~v195(constB153))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[23998, 23997])).
% 25.57/17.30 tff(24000,plain,
% 25.57/17.30 (~v193(constB153)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[23999, 23996, 23989])).
% 25.57/17.30 tff(24001,plain,
% 25.57/17.30 (^[VarCurr: state_type] : refl(((~v1(VarCurr)) | (~v185(VarCurr))) <=> ((~v1(VarCurr)) | (~v185(VarCurr))))),
% 25.57/17.30 inference(bind,[status(th)],[])).
% 25.57/17.30 tff(24002,plain,
% 25.57/17.30 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))),
% 25.57/17.30 inference(quant_intro,[status(thm)],[24001])).
% 25.57/17.30 tff(24003,plain,
% 25.57/17.30 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(24004,plain,
% 25.57/17.30 (^[VarCurr: state_type] : rewrite(((~v185(VarCurr)) | (~v1(VarCurr))) <=> ((~v1(VarCurr)) | (~v185(VarCurr))))),
% 25.57/17.30 inference(bind,[status(th)],[])).
% 25.57/17.30 tff(24005,plain,
% 25.57/17.30 (![VarCurr: state_type] : ((~v185(VarCurr)) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))),
% 25.57/17.30 inference(quant_intro,[status(thm)],[24004])).
% 25.57/17.30 tff(24006,axiom,(![VarCurr: state_type] : ((~v185(VarCurr)) | (~v1(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_42_1_1_2')).
% 25.57/17.30 tff(24007,plain,
% 25.57/17.30 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24006, 24005])).
% 25.57/17.30 tff(24008,plain,
% 25.57/17.30 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24007, 24003])).
% 25.57/17.30 tff(24009,plain,(
% 25.57/17.30 ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))),
% 25.57/17.30 inference(skolemize,[status(sab)],[24008])).
% 25.57/17.30 tff(24010,plain,
% 25.57/17.30 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24009, 24002])).
% 25.57/17.30 tff(24011,plain,
% 25.57/17.30 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB152)) | (~v185(constB152)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB152)) | (~v185(constB152)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(24012,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB152)) | (~v185(constB152)))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(24013,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB152)) | (~v185(constB152))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24012, 24011])).
% 25.57/17.30 tff(24014,plain,
% 25.57/17.30 (~v185(constB152)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[24013, 24010, 328])).
% 25.57/17.30 tff(24015,plain,
% 25.57/17.30 (^[VarCurr: state_type] : refl((v185(VarCurr) | (~v184(VarCurr))) <=> (v185(VarCurr) | (~v184(VarCurr))))),
% 25.57/17.30 inference(bind,[status(th)],[])).
% 25.57/17.30 tff(24016,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr))) <=> ![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))),
% 25.57/17.30 inference(quant_intro,[status(thm)],[24015])).
% 25.57/17.30 tff(24017,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr))) <=> ![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(24018,plain,
% 25.57/17.30 (^[VarCurr: state_type] : rewrite(((~v184(VarCurr)) | v185(VarCurr)) <=> (v185(VarCurr) | (~v184(VarCurr))))),
% 25.57/17.30 inference(bind,[status(th)],[])).
% 25.57/17.30 tff(24019,plain,
% 25.57/17.30 (![VarCurr: state_type] : ((~v184(VarCurr)) | v185(VarCurr)) <=> ![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))),
% 25.57/17.30 inference(quant_intro,[status(thm)],[24018])).
% 25.57/17.30 tff(24020,axiom,(![VarCurr: state_type] : ((~v184(VarCurr)) | v185(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43_1_1_2')).
% 25.57/17.30 tff(24021,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24020, 24019])).
% 25.57/17.30 tff(24022,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24021, 24017])).
% 25.57/17.30 tff(24023,plain,(
% 25.57/17.30 ![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))),
% 25.57/17.30 inference(skolemize,[status(sab)],[24022])).
% 25.57/17.30 tff(24024,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24023, 24016])).
% 25.57/17.30 tff(24025,plain,
% 25.57/17.30 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB152) | (~v184(constB152)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB152) | (~v184(constB152)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(24026,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB152) | (~v184(constB152)))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(24027,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB152) | (~v184(constB152))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24026, 24025])).
% 25.57/17.30 tff(24028,plain,
% 25.57/17.30 (~v184(constB152)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[24027, 24024, 24014])).
% 25.57/17.30 tff(24029,plain,
% 25.57/17.30 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB152) | (~v180(constB152)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB152) | (~v180(constB152)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(24030,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB152) | (~v180(constB152)))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(24031,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB152) | (~v180(constB152))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24030, 24029])).
% 25.57/17.30 tff(24032,plain,
% 25.57/17.30 (~v180(constB152)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[24031, 23899, 24028])).
% 25.57/17.30 tff(24033,plain,
% 25.57/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB152, constB153)) | v180(constB152) | (~v182(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB152, constB153)) | v180(constB152) | (~v182(constB153)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(24034,plain,
% 25.57/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB152, constB153)) | v180(constB152) | (~v182(constB153)))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(24035,plain,
% 25.57/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB152, constB153)) | v180(constB152) | (~v182(constB153))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24034, 24033])).
% 25.57/17.30 tff(24036,plain,
% 25.57/17.30 (v180(constB152) | (~v182(constB153))),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[24035, 23916, 23655])).
% 25.57/17.30 tff(24037,plain,
% 25.57/17.30 (~v182(constB153)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[24036, 24032])).
% 25.57/17.30 tff(24038,plain,
% 25.57/17.30 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB153) | (~v196(constB153)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB153) | (~v196(constB153)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(24039,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB153) | (~v196(constB153)))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(24040,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB153) | (~v196(constB153))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24039, 24038])).
% 25.57/17.30 tff(24041,plain,
% 25.57/17.30 (~v196(constB153)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[24040, 23931, 24037])).
% 25.57/17.30 tff(24042,plain,
% 25.57/17.30 (^[VarCurr: state_type] : refl((v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr))) <=> (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr))))),
% 25.57/17.30 inference(bind,[status(th)],[])).
% 25.57/17.30 tff(24043,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr))) <=> ![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))),
% 25.57/17.30 inference(quant_intro,[status(thm)],[24042])).
% 25.57/17.30 tff(24044,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr))) <=> ![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(24045,plain,
% 25.57/17.30 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v190(VarCurr)) | v193(VarCurr)) <=> (v193(VarCurr) | (~v190(VarCurr)))), ((((~v190(VarCurr)) | v193(VarCurr)) | v196(VarCurr)) <=> ((v193(VarCurr) | (~v190(VarCurr))) | v196(VarCurr)))), rewrite(((v193(VarCurr) | (~v190(VarCurr))) | v196(VarCurr)) <=> (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))), ((((~v190(VarCurr)) | v193(VarCurr)) | v196(VarCurr)) <=> (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))))),
% 25.57/17.30 inference(bind,[status(th)],[])).
% 25.57/17.30 tff(24046,plain,
% 25.57/17.30 (![VarCurr: state_type] : (((~v190(VarCurr)) | v193(VarCurr)) | v196(VarCurr)) <=> ![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))),
% 25.57/17.30 inference(quant_intro,[status(thm)],[24045])).
% 25.57/17.30 tff(24047,axiom,(![VarCurr: state_type] : (((~v190(VarCurr)) | v193(VarCurr)) | v196(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48_1_3')).
% 25.57/17.30 tff(24048,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24047, 24046])).
% 25.57/17.30 tff(24049,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24048, 24044])).
% 25.57/17.30 tff(24050,plain,(
% 25.57/17.30 ![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))),
% 25.57/17.30 inference(skolemize,[status(sab)],[24049])).
% 25.57/17.30 tff(24051,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24050, 24043])).
% 25.57/17.30 tff(24052,plain,
% 25.57/17.30 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB153) | v196(constB153) | (~v190(constB153)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB153) | v196(constB153) | (~v190(constB153)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(24053,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB153) | v196(constB153) | (~v190(constB153)))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(24054,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB153) | v196(constB153) | (~v190(constB153))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24053, 24052])).
% 25.57/17.30 tff(24055,plain,
% 25.57/17.30 (v193(constB153) | (~v190(constB153))),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[24054, 24051, 24041])).
% 25.57/17.30 tff(24056,plain,
% 25.57/17.30 (~v190(constB153)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[24055, 24000])).
% 25.57/17.30 tff(24057,plain,
% 25.57/17.30 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext))))),
% 25.57/17.30 inference(bind,[status(th)],[])).
% 25.57/17.30 tff(24058,plain,
% 25.57/17.30 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))),
% 25.57/17.30 inference(quant_intro,[status(thm)],[24057])).
% 25.57/17.30 tff(24059,plain,
% 25.57/17.30 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(24060,plain,
% 25.57/17.30 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v192(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v192(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v192(VarNext))) | v190(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v192(VarNext))) | v190(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v192(VarNext))) | v190(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v192(VarNext))) | v190(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))))),
% 25.57/17.30 inference(bind,[status(th)],[])).
% 25.57/17.30 tff(24061,plain,
% 25.57/17.30 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v192(VarNext))) | v190(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))),
% 25.57/17.30 inference(quant_intro,[status(thm)],[24060])).
% 25.57/17.30 tff(24062,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v192(VarNext))) | v190(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_12_1_2')).
% 25.57/17.30 tff(24063,plain,
% 25.57/17.30 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24062, 24061])).
% 25.57/17.30 tff(24064,plain,
% 25.57/17.30 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24063, 24059])).
% 25.57/17.30 tff(24065,plain,(
% 25.57/17.30 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))),
% 25.57/17.30 inference(skolemize,[status(sab)],[24064])).
% 25.57/17.30 tff(24066,plain,
% 25.57/17.30 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24065, 24058])).
% 25.57/17.30 tff(24067,plain,
% 25.57/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB153, constB154)) | v190(constB153) | (~v192(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB153, constB154)) | v190(constB153) | (~v192(constB154)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(24068,plain,
% 25.57/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB153, constB154)) | v190(constB153) | (~v192(constB154)))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(24069,plain,
% 25.57/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB153, constB154)) | v190(constB153) | (~v192(constB154))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24068, 24067])).
% 25.57/17.30 tff(24070,plain,
% 25.57/17.30 (v190(constB153) | (~v192(constB154))),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[24069, 24066, 23906])).
% 25.57/17.30 tff(24071,plain,
% 25.57/17.30 (~v192(constB154)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[24070, 24056])).
% 25.57/17.30 tff(24072,plain,
% 25.57/17.30 (^[VarCurr: state_type] : refl((v192(VarCurr) | (~v193(VarCurr))) <=> (v192(VarCurr) | (~v193(VarCurr))))),
% 25.57/17.30 inference(bind,[status(th)],[])).
% 25.57/17.30 tff(24073,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr))) <=> ![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))),
% 25.57/17.30 inference(quant_intro,[status(thm)],[24072])).
% 25.57/17.30 tff(24074,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr))) <=> ![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(24075,plain,
% 25.57/17.30 (^[VarCurr: state_type] : rewrite(((~v193(VarCurr)) | v192(VarCurr)) <=> (v192(VarCurr) | (~v193(VarCurr))))),
% 25.57/17.30 inference(bind,[status(th)],[])).
% 25.57/17.30 tff(24076,plain,
% 25.57/17.30 (![VarCurr: state_type] : ((~v193(VarCurr)) | v192(VarCurr)) <=> ![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))),
% 25.57/17.30 inference(quant_intro,[status(thm)],[24075])).
% 25.57/17.30 tff(24077,axiom,(![VarCurr: state_type] : ((~v193(VarCurr)) | v192(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_46_1_1_2')).
% 25.57/17.30 tff(24078,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24077, 24076])).
% 25.57/17.30 tff(24079,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24078, 24074])).
% 25.57/17.30 tff(24080,plain,(
% 25.57/17.30 ![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))),
% 25.57/17.30 inference(skolemize,[status(sab)],[24079])).
% 25.57/17.30 tff(24081,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24080, 24073])).
% 25.57/17.30 tff(24082,plain,
% 25.57/17.30 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB154) | (~v193(constB154)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB154) | (~v193(constB154)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(24083,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB154) | (~v193(constB154)))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(24084,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB154) | (~v193(constB154))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24083, 24082])).
% 25.57/17.30 tff(24085,plain,
% 25.57/17.30 (~v193(constB154)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[24084, 24081, 24071])).
% 25.57/17.30 tff(24086,plain,
% 25.57/17.30 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB154) | v196(constB154) | (~v190(constB154)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB154) | v196(constB154) | (~v190(constB154)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(24087,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB154) | v196(constB154) | (~v190(constB154)))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(24088,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB154) | v196(constB154) | (~v190(constB154))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24087, 24086])).
% 25.57/17.30 tff(24089,plain,
% 25.57/17.30 (v196(constB154) | (~v190(constB154))),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[24088, 24051, 24085])).
% 25.57/17.30 tff(24090,plain,
% 25.57/17.30 (~v190(constB154)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[24089, 23935])).
% 25.57/17.30 tff(24091,plain,
% 25.57/17.30 (nextState(constB154, constB155) <=> nextState(constB154, constB155)),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(24092,axiom,(nextState(constB154, constB155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_154_1')).
% 25.57/17.30 tff(24093,plain,
% 25.57/17.30 (nextState(constB154, constB155)),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24092, 24091])).
% 25.57/17.30 tff(24094,plain,
% 25.57/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB154, constB155)) | v190(constB154) | (~v192(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB154, constB155)) | v190(constB154) | (~v192(constB155)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(24095,plain,
% 25.57/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB154, constB155)) | v190(constB154) | (~v192(constB155)))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(24096,plain,
% 25.57/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB154, constB155)) | v190(constB154) | (~v192(constB155))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24095, 24094])).
% 25.57/17.30 tff(24097,plain,
% 25.57/17.30 (v190(constB154) | (~v192(constB155))),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[24096, 24066, 24093])).
% 25.57/17.30 tff(24098,plain,
% 25.57/17.30 (~v192(constB155)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[24097, 24090])).
% 25.57/17.30 tff(24099,plain,
% 25.57/17.30 (^[VarCurr: state_type] : refl((v192(VarCurr) | (~v201(VarCurr))) <=> (v192(VarCurr) | (~v201(VarCurr))))),
% 25.57/17.30 inference(bind,[status(th)],[])).
% 25.57/17.30 tff(24100,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr))) <=> ![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))),
% 25.57/17.30 inference(quant_intro,[status(thm)],[24099])).
% 25.57/17.30 tff(24101,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr))) <=> ![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(24102,plain,
% 25.57/17.30 (^[VarCurr: state_type] : rewrite(((~v201(VarCurr)) | v192(VarCurr)) <=> (v192(VarCurr) | (~v201(VarCurr))))),
% 25.57/17.30 inference(bind,[status(th)],[])).
% 25.57/17.30 tff(24103,plain,
% 25.57/17.30 (![VarCurr: state_type] : ((~v201(VarCurr)) | v192(VarCurr)) <=> ![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))),
% 25.57/17.30 inference(quant_intro,[status(thm)],[24102])).
% 25.57/17.30 tff(24104,axiom,(![VarCurr: state_type] : ((~v201(VarCurr)) | v192(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_51_1_1_1_2')).
% 25.57/17.30 tff(24105,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24104, 24103])).
% 25.57/17.30 tff(24106,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24105, 24101])).
% 25.57/17.30 tff(24107,plain,(
% 25.57/17.30 ![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))),
% 25.57/17.30 inference(skolemize,[status(sab)],[24106])).
% 25.57/17.30 tff(24108,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24107, 24100])).
% 25.57/17.30 tff(24109,plain,
% 25.57/17.30 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB155) | (~v201(constB155)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB155) | (~v201(constB155)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(24110,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB155) | (~v201(constB155)))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(24111,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB155) | (~v201(constB155))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24110, 24109])).
% 25.57/17.30 tff(24112,plain,
% 25.57/17.30 (~v201(constB155)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[24111, 24108, 24098])).
% 25.57/17.30 tff(24113,plain,
% 25.57/17.30 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB154)) | (~v185(constB154)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB154)) | (~v185(constB154)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(24114,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB154)) | (~v185(constB154)))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(24115,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB154)) | (~v185(constB154))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24114, 24113])).
% 25.57/17.30 tff(24116,plain,
% 25.57/17.30 (~v185(constB154)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[24115, 24010, 23942])).
% 25.57/17.30 tff(24117,plain,
% 25.57/17.30 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB154) | (~v184(constB154)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB154) | (~v184(constB154)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(24118,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB154) | (~v184(constB154)))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(24119,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB154) | (~v184(constB154))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24118, 24117])).
% 25.57/17.30 tff(24120,plain,
% 25.57/17.30 (~v184(constB154)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[24119, 24024, 24116])).
% 25.57/17.30 tff(24121,plain,
% 25.57/17.30 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB154) | (~v180(constB154)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB154) | (~v180(constB154)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(24122,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB154) | (~v180(constB154)))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(24123,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB154) | (~v180(constB154))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24122, 24121])).
% 25.57/17.30 tff(24124,plain,
% 25.57/17.30 (~v180(constB154)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[24123, 23899, 24120])).
% 25.57/17.30 tff(24125,plain,
% 25.57/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB154, constB155)) | v180(constB154) | (~v182(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB154, constB155)) | v180(constB154) | (~v182(constB155)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(24126,plain,
% 25.57/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB154, constB155)) | v180(constB154) | (~v182(constB155)))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(24127,plain,
% 25.57/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB154, constB155)) | v180(constB154) | (~v182(constB155))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24126, 24125])).
% 25.57/17.30 tff(24128,plain,
% 25.57/17.30 (v180(constB154) | (~v182(constB155))),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[24127, 23916, 24093])).
% 25.57/17.30 tff(24129,plain,
% 25.57/17.30 (~v182(constB155)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[24128, 24124])).
% 25.57/17.30 tff(24130,plain,
% 25.57/17.30 (^[VarCurr: state_type] : refl((v182(VarCurr) | (~v205(VarCurr))) <=> (v182(VarCurr) | (~v205(VarCurr))))),
% 25.57/17.30 inference(bind,[status(th)],[])).
% 25.57/17.30 tff(24131,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))),
% 25.57/17.30 inference(quant_intro,[status(thm)],[24130])).
% 25.57/17.30 tff(24132,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(24133,plain,
% 25.57/17.30 (^[VarCurr: state_type] : rewrite(((~v205(VarCurr)) | v182(VarCurr)) <=> (v182(VarCurr) | (~v205(VarCurr))))),
% 25.57/17.30 inference(bind,[status(th)],[])).
% 25.57/17.30 tff(24134,plain,
% 25.57/17.30 (![VarCurr: state_type] : ((~v205(VarCurr)) | v182(VarCurr)) <=> ![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))),
% 25.57/17.30 inference(quant_intro,[status(thm)],[24133])).
% 25.57/17.30 tff(24135,axiom,(![VarCurr: state_type] : ((~v205(VarCurr)) | v182(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_52_1_1_1_2')).
% 25.57/17.30 tff(24136,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24135, 24134])).
% 25.57/17.30 tff(24137,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24136, 24132])).
% 25.57/17.30 tff(24138,plain,(
% 25.57/17.30 ![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))),
% 25.57/17.30 inference(skolemize,[status(sab)],[24137])).
% 25.57/17.30 tff(24139,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24138, 24131])).
% 25.57/17.30 tff(24140,plain,
% 25.57/17.30 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB155) | (~v205(constB155)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB155) | (~v205(constB155)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(24141,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB155) | (~v205(constB155)))),
% 25.57/17.30 inference(quant_inst,[status(thm)],[])).
% 25.57/17.30 tff(24142,plain,
% 25.57/17.30 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB155) | (~v205(constB155))),
% 25.57/17.30 inference(modus_ponens,[status(thm)],[24141, 24140])).
% 25.57/17.30 tff(24143,plain,
% 25.57/17.30 (~v205(constB155)),
% 25.57/17.30 inference(unit_resolution,[status(thm)],[24142, 24139, 24129])).
% 25.57/17.30 tff(24144,plain,
% 25.57/17.30 (^[VarCurr: state_type] : refl((v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr))) <=> (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr))))),
% 25.57/17.30 inference(bind,[status(th)],[])).
% 25.57/17.30 tff(24145,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))),
% 25.57/17.30 inference(quant_intro,[status(thm)],[24144])).
% 25.57/17.30 tff(24146,plain,
% 25.57/17.30 (![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))),
% 25.57/17.30 inference(rewrite,[status(thm)],[])).
% 25.57/17.30 tff(24147,plain,
% 25.57/17.30 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v200(VarCurr)) | v201(VarCurr)) <=> (v201(VarCurr) | (~v200(VarCurr)))), ((((~v200(VarCurr)) | v201(VarCurr)) | v205(VarCurr)) <=> ((v201(VarCurr) | (~v200(VarCurr))) | v205(VarCurr)))), rewrite(((v201(VarCurr) | (~v200(VarCurr))) | v205(VarCurr)) <=> (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))), ((((~v200(VarCurr)) | v201(VarCurr)) | v205(VarCurr)) <=> (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))))),
% 25.57/17.31 inference(bind,[status(th)],[])).
% 25.57/17.31 tff(24148,plain,
% 25.57/17.31 (![VarCurr: state_type] : (((~v200(VarCurr)) | v201(VarCurr)) | v205(VarCurr)) <=> ![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))),
% 25.57/17.31 inference(quant_intro,[status(thm)],[24147])).
% 25.57/17.31 tff(24149,axiom,(![VarCurr: state_type] : (((~v200(VarCurr)) | v201(VarCurr)) | v205(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_53_1_1_1')).
% 25.57/17.31 tff(24150,plain,
% 25.57/17.31 (![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24149, 24148])).
% 25.57/17.31 tff(24151,plain,
% 25.57/17.31 (![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24150, 24146])).
% 25.57/17.31 tff(24152,plain,(
% 25.57/17.31 ![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))),
% 25.57/17.31 inference(skolemize,[status(sab)],[24151])).
% 25.57/17.31 tff(24153,plain,
% 25.57/17.31 (![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24152, 24145])).
% 25.57/17.31 tff(24154,plain,
% 25.57/17.31 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB155) | v205(constB155) | (~v200(constB155)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB155) | v205(constB155) | (~v200(constB155)))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24155,plain,
% 25.57/17.31 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB155) | v205(constB155) | (~v200(constB155)))),
% 25.57/17.31 inference(quant_inst,[status(thm)],[])).
% 25.57/17.31 tff(24156,plain,
% 25.57/17.31 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB155) | v205(constB155) | (~v200(constB155))),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24155, 24154])).
% 25.57/17.31 tff(24157,plain,
% 25.57/17.31 (v201(constB155) | (~v200(constB155))),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24156, 24153, 24143])).
% 25.57/17.31 tff(24158,plain,
% 25.57/17.31 (~v200(constB155)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24157, 24112])).
% 25.57/17.31 tff(24159,plain,
% 25.57/17.31 ($false),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24158, 789])).
% 25.57/17.31 tff(24160,plain,(~(constB155 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.57/17.31 tff(24161,assumption,(constB195 = sK0_VarCurr), introduced(assumption)).
% 25.57/17.31 tff(24162,plain,
% 25.57/17.31 (v200(constB195) <=> v200(sK0_VarCurr)),
% 25.57/17.31 inference(monotonicity,[status(thm)],[24161])).
% 25.57/17.31 tff(24163,plain,
% 25.57/17.31 (v200(sK0_VarCurr) <=> v200(constB195)),
% 25.57/17.31 inference(symmetry,[status(thm)],[24162])).
% 25.57/17.31 tff(24164,plain,
% 25.57/17.31 (v200(constB195)),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[788, 24163])).
% 25.57/17.31 tff(24165,plain,
% 25.57/17.31 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24166,plain,
% 25.57/17.31 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153))),
% 25.57/17.31 inference(quant_inst,[status(thm)],[])).
% 25.57/17.31 tff(24167,plain,
% 25.57/17.31 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153)),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24166, 24165])).
% 25.57/17.31 tff(24168,plain,
% 25.57/17.31 (v123(constB153)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24167, 1401, 23802, 23757, 23676])).
% 25.57/17.31 tff(24169,plain,
% 25.57/17.31 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB153) | (~v123(constB153)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB153) | (~v123(constB153)))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24170,plain,
% 25.57/17.31 (((~v123(constB153)) | v115(constB153)) <=> (v115(constB153) | (~v123(constB153)))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24171,plain,
% 25.57/17.31 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB153)) | v115(constB153))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB153) | (~v123(constB153))))),
% 25.57/17.31 inference(monotonicity,[status(thm)],[24170])).
% 25.57/17.31 tff(24172,plain,
% 25.57/17.31 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB153)) | v115(constB153))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB153) | (~v123(constB153)))),
% 25.57/17.31 inference(transitivity,[status(thm)],[24171, 24169])).
% 25.57/17.31 tff(24173,plain,
% 25.57/17.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB153)) | v115(constB153))),
% 25.57/17.31 inference(quant_inst,[status(thm)],[])).
% 25.57/17.31 tff(24174,plain,
% 25.57/17.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB153) | (~v123(constB153))),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24173, 24172])).
% 25.57/17.31 tff(24175,plain,
% 25.57/17.31 (v115(constB153)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24174, 1412, 24168])).
% 25.57/17.31 tff(24176,plain,
% 25.57/17.31 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB153) | (~v115(constB153)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB153) | (~v115(constB153)))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24177,plain,
% 25.57/17.31 (((~v115(constB153)) | v114(constB153)) <=> (v114(constB153) | (~v115(constB153)))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24178,plain,
% 25.57/17.31 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB153)) | v114(constB153))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB153) | (~v115(constB153))))),
% 25.57/17.31 inference(monotonicity,[status(thm)],[24177])).
% 25.57/17.31 tff(24179,plain,
% 25.57/17.31 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB153)) | v114(constB153))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB153) | (~v115(constB153)))),
% 25.57/17.31 inference(transitivity,[status(thm)],[24178, 24176])).
% 25.57/17.31 tff(24180,plain,
% 25.57/17.31 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB153)) | v114(constB153))),
% 25.57/17.31 inference(quant_inst,[status(thm)],[])).
% 25.57/17.31 tff(24181,plain,
% 25.57/17.31 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB153) | (~v115(constB153))),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24180, 24179])).
% 25.57/17.31 tff(24182,plain,
% 25.57/17.31 (v114(constB153)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24181, 1022, 24175])).
% 25.57/17.31 tff(24183,plain,
% 25.57/17.31 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB153)) | v113(constB153))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB153)) | v113(constB153))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24184,plain,
% 25.57/17.31 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB153)) | v113(constB153))),
% 25.57/17.31 inference(quant_inst,[status(thm)],[])).
% 25.57/17.31 tff(24185,plain,
% 25.57/17.31 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB153)) | v113(constB153)),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24184, 24183])).
% 25.57/17.31 tff(24186,plain,
% 25.57/17.31 (v113(constB153)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24185, 1036, 24182])).
% 25.57/17.31 tff(24187,assumption,(v26(constB153)), introduced(assumption)).
% 25.57/17.31 tff(24188,plain,
% 25.57/17.31 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB153))),
% 25.57/17.31 inference(quant_inst,[status(thm)],[])).
% 25.57/17.31 tff(24189,plain,
% 25.57/17.31 ($false),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24188, 797, 24187])).
% 25.57/17.31 tff(24190,plain,(~v26(constB153)), inference(lemma,lemma(discharge,[]))).
% 25.57/17.31 tff(24191,plain,
% 25.57/17.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | (~v113(constB153)) | v112(constB153))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24192,plain,
% 25.57/17.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))),
% 25.57/17.31 inference(quant_inst,[status(thm)],[])).
% 25.57/17.31 tff(24193,plain,
% 25.57/17.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | (~v113(constB153)) | v112(constB153)),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24192, 24191])).
% 25.57/17.31 tff(24194,plain,
% 25.57/17.31 ((~v113(constB153)) | v112(constB153)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24193, 1050, 24190])).
% 25.57/17.31 tff(24195,plain,
% 25.57/17.31 (v112(constB153)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24194, 24186])).
% 25.57/17.31 tff(24196,plain,
% 25.57/17.31 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB153) | (~v112(constB153)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB153) | (~v112(constB153)))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24197,plain,
% 25.57/17.31 (((~v112(constB153)) | v108(constB153)) <=> (v108(constB153) | (~v112(constB153)))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24198,plain,
% 25.57/17.31 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB153)) | v108(constB153))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB153) | (~v112(constB153))))),
% 25.57/17.31 inference(monotonicity,[status(thm)],[24197])).
% 25.57/17.31 tff(24199,plain,
% 25.57/17.31 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB153)) | v108(constB153))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB153) | (~v112(constB153)))),
% 25.57/17.31 inference(transitivity,[status(thm)],[24198, 24196])).
% 25.57/17.31 tff(24200,plain,
% 25.57/17.31 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB153)) | v108(constB153))),
% 25.57/17.31 inference(quant_inst,[status(thm)],[])).
% 25.57/17.31 tff(24201,plain,
% 25.57/17.31 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB153) | (~v112(constB153))),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24200, 24199])).
% 25.57/17.31 tff(24202,plain,
% 25.57/17.31 (v108(constB153)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24201, 1062, 24195])).
% 25.57/17.31 tff(24203,plain,
% 25.57/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24204,plain,
% 25.57/17.31 (((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154)) <=> ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24205,plain,
% 25.57/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153))))),
% 25.57/17.31 inference(monotonicity,[status(thm)],[24204])).
% 25.57/17.31 tff(24206,plain,
% 25.57/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 25.57/17.31 inference(transitivity,[status(thm)],[24205, 24203])).
% 25.57/17.31 tff(24207,plain,
% 25.57/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))),
% 25.57/17.31 inference(quant_inst,[status(thm)],[])).
% 25.57/17.31 tff(24208,plain,
% 25.57/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153))),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24207, 24206])).
% 25.57/17.31 tff(24209,plain,
% 25.57/17.31 (v110(constB154) | (~v108(constB153))),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24208, 1082, 23906])).
% 25.57/17.31 tff(24210,plain,
% 25.57/17.31 (v110(constB154)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24209, 24202])).
% 25.57/17.31 tff(24211,plain,
% 25.57/17.31 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24212,plain,
% 25.57/17.31 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))),
% 25.57/17.31 inference(quant_inst,[status(thm)],[])).
% 25.57/17.31 tff(24213,plain,
% 25.57/17.31 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154))),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24212, 24211])).
% 25.57/17.31 tff(24214,plain,
% 25.57/17.31 (~v104(constB154)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24213, 1100, 23906, 23652])).
% 25.57/17.31 tff(24215,plain,
% 25.57/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24216,plain,
% 25.57/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))),
% 25.57/17.31 inference(quant_inst,[status(thm)],[])).
% 25.57/17.31 tff(24217,plain,
% 25.57/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v102(constB154) | v104(constB154)),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24216, 24215])).
% 25.57/17.31 tff(24218,plain,
% 25.57/17.31 (v102(constB154) | v104(constB154)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24217, 1114, 23906])).
% 25.57/17.31 tff(24219,plain,
% 25.57/17.31 (v102(constB154)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24218, 24214])).
% 25.57/17.31 tff(24220,plain,
% 25.57/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24221,plain,
% 25.57/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))),
% 25.57/17.31 inference(quant_inst,[status(thm)],[])).
% 25.57/17.31 tff(24222,plain,
% 25.57/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154))),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24221, 24220])).
% 25.57/17.31 tff(24223,plain,
% 25.57/17.31 (v101(constB154) | (~v102(constB154))),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24222, 1129, 23906, 23942])).
% 25.57/17.31 tff(24224,plain,
% 25.57/17.31 (v101(constB154)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24223, 24219])).
% 25.57/17.31 tff(24225,plain,
% 25.57/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24226,plain,
% 25.57/17.31 (((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154)) <=> ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24227,plain,
% 25.57/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154))))),
% 25.57/17.31 inference(monotonicity,[status(thm)],[24226])).
% 25.57/17.31 tff(24228,plain,
% 25.57/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 25.57/17.31 inference(transitivity,[status(thm)],[24227, 24225])).
% 25.57/17.31 tff(24229,plain,
% 25.57/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))),
% 25.57/17.31 inference(quant_inst,[status(thm)],[])).
% 25.57/17.31 tff(24230,plain,
% 25.57/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24229, 24228])).
% 25.57/17.31 tff(24231,plain,
% 25.57/17.31 (v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24230, 1144, 23906])).
% 25.57/17.31 tff(24232,plain,
% 25.57/17.31 (v100(constB154) | (~v110(constB154))),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24231, 24224])).
% 25.57/17.31 tff(24233,plain,
% 25.57/17.31 (v100(constB154)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24232, 24210])).
% 25.57/17.31 tff(24234,plain,
% 25.57/17.31 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB153)) | v130(constB153, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB153)) | v130(constB153, bitIndex2))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24235,plain,
% 25.57/17.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB153)) | v130(constB153, bitIndex2))),
% 25.57/17.31 inference(quant_inst,[status(thm)],[])).
% 25.57/17.31 tff(24236,plain,
% 25.57/17.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB153)) | v130(constB153, bitIndex2)),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24235, 24234])).
% 25.57/17.31 tff(24237,plain,
% 25.57/17.31 (v130(constB153, bitIndex2)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24236, 1483, 24168])).
% 25.57/17.31 tff(24238,plain,
% 25.57/17.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24239,plain,
% 25.57/17.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2))),
% 25.57/17.31 inference(quant_inst,[status(thm)],[])).
% 25.57/17.31 tff(24240,plain,
% 25.57/17.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2)),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24239, 24238])).
% 25.57/17.31 tff(24241,plain,
% 25.57/17.31 ((~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24240, 1174, 24190])).
% 25.57/17.31 tff(24242,plain,
% 25.57/17.31 (v127(constB153, bitIndex2)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24241, 24237])).
% 25.57/17.31 tff(24243,plain,
% 25.57/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24244,plain,
% 25.57/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2))),
% 25.57/17.31 inference(quant_inst,[status(thm)],[])).
% 25.57/17.31 tff(24245,plain,
% 25.57/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2)),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24244, 24243])).
% 25.57/17.31 tff(24246,plain,
% 25.57/17.31 ((~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24245, 1189, 23906])).
% 25.57/17.31 tff(24247,plain,
% 25.57/17.31 (v129(constB154, bitIndex2)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24246, 24242])).
% 25.57/17.31 tff(24248,plain,
% 25.57/17.31 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24249,plain,
% 25.57/17.31 ((v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2))) <=> (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24250,plain,
% 25.57/17.31 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154))))),
% 25.57/17.31 inference(monotonicity,[status(thm)],[24249])).
% 25.57/17.31 tff(24251,plain,
% 25.57/17.31 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))),
% 25.57/17.31 inference(transitivity,[status(thm)],[24250, 24248])).
% 25.57/17.31 tff(24252,plain,
% 25.57/17.31 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2)))),
% 25.57/17.31 inference(quant_inst,[status(thm)],[])).
% 25.57/17.31 tff(24253,plain,
% 25.57/17.31 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154))),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24252, 24251])).
% 25.57/17.31 tff(24254,plain,
% 25.57/17.31 (v90(constB154, bitIndex2) | (~v100(constB154))),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24253, 1204, 24247])).
% 25.57/17.31 tff(24255,plain,
% 25.57/17.31 (v90(constB154, bitIndex2)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24254, 24233])).
% 25.57/17.31 tff(24256,plain,
% 25.57/17.31 ((~v1(constB155)) <=> (~v1(constB155))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24257,axiom,(~v1(constB155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_155_1_1')).
% 25.57/17.31 tff(24258,plain,
% 25.57/17.31 (~v1(constB155)),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24257, 24256])).
% 25.57/17.31 tff(24259,plain,
% 25.57/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24260,plain,
% 25.57/17.31 (((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155)) <=> (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24261,plain,
% 25.57/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155))))),
% 25.57/17.31 inference(monotonicity,[status(thm)],[24260])).
% 25.57/17.31 tff(24262,plain,
% 25.57/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 25.57/17.31 inference(transitivity,[status(thm)],[24261, 24259])).
% 25.57/17.31 tff(24263,plain,
% 25.57/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))),
% 25.57/17.31 inference(quant_inst,[status(thm)],[])).
% 25.57/17.31 tff(24264,plain,
% 25.57/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155))),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24263, 24262])).
% 25.57/17.31 tff(24265,plain,
% 25.57/17.31 (~v101(constB155)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24264, 860, 24093, 24258])).
% 25.57/17.31 tff(24266,plain,
% 25.57/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24267,plain,
% 25.57/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))),
% 25.57/17.31 inference(quant_inst,[status(thm)],[])).
% 25.57/17.31 tff(24268,plain,
% 25.57/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155))),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24267, 24266])).
% 25.57/17.31 tff(24269,plain,
% 25.57/17.31 (v101(constB155) | (~v100(constB155))),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24268, 877, 24093])).
% 25.57/17.31 tff(24270,plain,
% 25.57/17.31 (~v100(constB155)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24269, 24265])).
% 25.57/17.31 tff(24271,plain,
% 25.57/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24272,plain,
% 25.57/17.31 (((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2)) <=> ((~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24273,plain,
% 25.57/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2)))),
% 25.57/17.31 inference(monotonicity,[status(thm)],[24272])).
% 25.57/17.31 tff(24274,plain,
% 25.57/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))),
% 25.57/17.31 inference(transitivity,[status(thm)],[24273, 24271])).
% 25.57/17.31 tff(24275,plain,
% 25.57/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2))),
% 25.57/17.31 inference(quant_inst,[status(thm)],[])).
% 25.57/17.31 tff(24276,plain,
% 25.57/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2)),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24275, 24274])).
% 25.57/17.31 tff(24277,plain,
% 25.57/17.31 ((~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24276, 1240, 24093])).
% 25.57/17.31 tff(24278,plain,
% 25.57/17.31 ((~v90(constB154, bitIndex2)) | v90(constB155, bitIndex2)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24277, 24270])).
% 25.57/17.31 tff(24279,plain,
% 25.57/17.31 (v90(constB155, bitIndex2)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24278, 24255])).
% 25.57/17.31 tff(24280,plain,
% 25.57/17.31 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB153)) | v130(constB153, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB153)) | v130(constB153, bitIndex1))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24281,plain,
% 25.57/17.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB153)) | v130(constB153, bitIndex1))),
% 25.57/17.31 inference(quant_inst,[status(thm)],[])).
% 25.57/17.31 tff(24282,plain,
% 25.57/17.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB153)) | v130(constB153, bitIndex1)),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24281, 24280])).
% 25.57/17.31 tff(24283,plain,
% 25.57/17.31 (v130(constB153, bitIndex1)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24282, 1539, 24168])).
% 25.57/17.31 tff(24284,plain,
% 25.57/17.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB153) | (~v130(constB153, bitIndex1)) | v127(constB153, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB153) | (~v130(constB153, bitIndex1)) | v127(constB153, bitIndex1))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24285,plain,
% 25.57/17.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB153) | (~v130(constB153, bitIndex1)) | v127(constB153, bitIndex1))),
% 25.57/17.31 inference(quant_inst,[status(thm)],[])).
% 25.57/17.31 tff(24286,plain,
% 25.57/17.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB153) | (~v130(constB153, bitIndex1)) | v127(constB153, bitIndex1)),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24285, 24284])).
% 25.57/17.31 tff(24287,plain,
% 25.57/17.31 ((~v130(constB153, bitIndex1)) | v127(constB153, bitIndex1)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24286, 1553, 24190])).
% 25.57/17.31 tff(24288,plain,
% 25.57/17.31 (v127(constB153, bitIndex1)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24287, 24283])).
% 25.57/17.31 tff(24289,plain,
% 25.57/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex1)) | v129(constB154, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex1)) | v129(constB154, bitIndex1))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24290,plain,
% 25.57/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex1)) | v129(constB154, bitIndex1))),
% 25.57/17.31 inference(quant_inst,[status(thm)],[])).
% 25.57/17.31 tff(24291,plain,
% 25.57/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex1)) | v129(constB154, bitIndex1)),
% 25.57/17.31 inference(modus_ponens,[status(thm)],[24290, 24289])).
% 25.57/17.31 tff(24292,plain,
% 25.57/17.31 ((~v127(constB153, bitIndex1)) | v129(constB154, bitIndex1)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24291, 1568, 23906])).
% 25.57/17.31 tff(24293,plain,
% 25.57/17.31 (v129(constB154, bitIndex1)),
% 25.57/17.31 inference(unit_resolution,[status(thm)],[24292, 24288])).
% 25.57/17.31 tff(24294,plain,
% 25.57/17.31 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~v129(constB154, bitIndex1)) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB154, bitIndex1) | (~v129(constB154, bitIndex1)) | (~v100(constB154)))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24295,plain,
% 25.57/17.31 ((v90(constB154, bitIndex1) | (~v100(constB154)) | (~v129(constB154, bitIndex1))) <=> (v90(constB154, bitIndex1) | (~v129(constB154, bitIndex1)) | (~v100(constB154)))),
% 25.57/17.31 inference(rewrite,[status(thm)],[])).
% 25.57/17.31 tff(24296,plain,
% 25.57/17.31 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~v100(constB154)) | (~v129(constB154, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~v129(constB154, bitIndex1)) | (~v100(constB154))))),
% 25.57/17.32 inference(monotonicity,[status(thm)],[24295])).
% 25.57/17.32 tff(24297,plain,
% 25.57/17.32 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~v100(constB154)) | (~v129(constB154, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB154, bitIndex1) | (~v129(constB154, bitIndex1)) | (~v100(constB154)))),
% 25.57/17.32 inference(transitivity,[status(thm)],[24296, 24294])).
% 25.57/17.32 tff(24298,plain,
% 25.57/17.32 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~v100(constB154)) | (~v129(constB154, bitIndex1)))),
% 25.57/17.32 inference(quant_inst,[status(thm)],[])).
% 25.57/17.32 tff(24299,plain,
% 25.57/17.32 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB154, bitIndex1) | (~v129(constB154, bitIndex1)) | (~v100(constB154))),
% 25.57/17.32 inference(modus_ponens,[status(thm)],[24298, 24297])).
% 25.57/17.32 tff(24300,plain,
% 25.57/17.32 (v90(constB154, bitIndex1) | (~v100(constB154))),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24299, 1583, 24293])).
% 25.57/17.32 tff(24301,plain,
% 25.57/17.32 (v90(constB154, bitIndex1)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24300, 24233])).
% 25.57/17.32 tff(24302,plain,
% 25.57/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex1))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24303,plain,
% 25.57/17.32 (((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex1)) | v100(constB155) | v90(constB155, bitIndex1)) <=> ((~v90(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex1))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24304,plain,
% 25.57/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex1)) | v100(constB155) | v90(constB155, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex1)))),
% 25.57/17.32 inference(monotonicity,[status(thm)],[24303])).
% 25.57/17.32 tff(24305,plain,
% 25.57/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex1)) | v100(constB155) | v90(constB155, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex1))),
% 25.57/17.32 inference(transitivity,[status(thm)],[24304, 24302])).
% 25.57/17.32 tff(24306,plain,
% 25.57/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex1)) | v100(constB155) | v90(constB155, bitIndex1))),
% 25.57/17.32 inference(quant_inst,[status(thm)],[])).
% 25.57/17.32 tff(24307,plain,
% 25.57/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex1)),
% 25.57/17.32 inference(modus_ponens,[status(thm)],[24306, 24305])).
% 25.57/17.32 tff(24308,plain,
% 25.57/17.32 ((~v90(constB154, bitIndex1)) | v100(constB155) | v90(constB155, bitIndex1)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24307, 1601, 24093])).
% 25.57/17.32 tff(24309,plain,
% 25.57/17.32 ((~v90(constB154, bitIndex1)) | v90(constB155, bitIndex1)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24308, 24270])).
% 25.57/17.32 tff(24310,plain,
% 25.57/17.32 (v90(constB155, bitIndex1)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24309, 24301])).
% 25.57/17.32 tff(24311,plain,
% 25.57/17.32 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB153)) | (~v130(constB153, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB153)) | (~v130(constB153, bitIndex0)))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24312,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB153)) | (~v130(constB153, bitIndex0)))),
% 25.57/17.32 inference(quant_inst,[status(thm)],[])).
% 25.57/17.32 tff(24313,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB153)) | (~v130(constB153, bitIndex0))),
% 25.57/17.32 inference(modus_ponens,[status(thm)],[24312, 24311])).
% 25.57/17.32 tff(24314,plain,
% 25.57/17.32 (~v130(constB153, bitIndex0)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24313, 1617, 24168])).
% 25.57/17.32 tff(24315,plain,
% 25.57/17.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB153, bitIndex0)) | v26(constB153) | v130(constB153, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB153, bitIndex0)) | v26(constB153) | v130(constB153, bitIndex0))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24316,plain,
% 25.57/17.32 ((v26(constB153) | v130(constB153, bitIndex0) | (~v127(constB153, bitIndex0))) <=> ((~v127(constB153, bitIndex0)) | v26(constB153) | v130(constB153, bitIndex0))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24317,plain,
% 25.57/17.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB153) | v130(constB153, bitIndex0) | (~v127(constB153, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB153, bitIndex0)) | v26(constB153) | v130(constB153, bitIndex0)))),
% 25.57/17.32 inference(monotonicity,[status(thm)],[24316])).
% 25.57/17.32 tff(24318,plain,
% 25.57/17.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB153) | v130(constB153, bitIndex0) | (~v127(constB153, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB153, bitIndex0)) | v26(constB153) | v130(constB153, bitIndex0))),
% 25.57/17.32 inference(transitivity,[status(thm)],[24317, 24315])).
% 25.57/17.32 tff(24319,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB153) | v130(constB153, bitIndex0) | (~v127(constB153, bitIndex0)))),
% 25.57/17.32 inference(quant_inst,[status(thm)],[])).
% 25.57/17.32 tff(24320,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB153, bitIndex0)) | v26(constB153) | v130(constB153, bitIndex0)),
% 25.57/17.32 inference(modus_ponens,[status(thm)],[24319, 24318])).
% 25.57/17.32 tff(24321,plain,
% 25.57/17.32 ((~v127(constB153, bitIndex0)) | v130(constB153, bitIndex0)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24320, 1341, 24190])).
% 25.57/17.32 tff(24322,plain,
% 25.57/17.32 (~v127(constB153, bitIndex0)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24321, 24314])).
% 25.57/17.32 tff(24323,plain,
% 25.57/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB153, constB154)) | v127(constB153, bitIndex0) | (~v129(constB154, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB153, constB154)) | v127(constB153, bitIndex0) | (~v129(constB154, bitIndex0)))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24324,plain,
% 25.57/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB153, constB154)) | v127(constB153, bitIndex0) | (~v129(constB154, bitIndex0)))),
% 25.57/17.32 inference(quant_inst,[status(thm)],[])).
% 25.57/17.32 tff(24325,plain,
% 25.57/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB153, constB154)) | v127(constB153, bitIndex0) | (~v129(constB154, bitIndex0))),
% 25.57/17.32 inference(modus_ponens,[status(thm)],[24324, 24323])).
% 25.57/17.32 tff(24326,plain,
% 25.57/17.32 (v127(constB153, bitIndex0) | (~v129(constB154, bitIndex0))),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24325, 1359, 23906])).
% 25.57/17.32 tff(24327,plain,
% 25.57/17.32 (~v129(constB154, bitIndex0)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24326, 24322])).
% 25.57/17.32 tff(24328,plain,
% 25.57/17.32 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | v129(constB154, bitIndex0) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB154, bitIndex0)) | v129(constB154, bitIndex0) | (~v100(constB154)))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24329,plain,
% 25.57/17.32 (((~v90(constB154, bitIndex0)) | (~v100(constB154)) | v129(constB154, bitIndex0)) <=> ((~v90(constB154, bitIndex0)) | v129(constB154, bitIndex0) | (~v100(constB154)))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24330,plain,
% 25.57/17.32 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | (~v100(constB154)) | v129(constB154, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | v129(constB154, bitIndex0) | (~v100(constB154))))),
% 25.57/17.32 inference(monotonicity,[status(thm)],[24329])).
% 25.57/17.32 tff(24331,plain,
% 25.57/17.32 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | (~v100(constB154)) | v129(constB154, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB154, bitIndex0)) | v129(constB154, bitIndex0) | (~v100(constB154)))),
% 25.57/17.32 inference(transitivity,[status(thm)],[24330, 24328])).
% 25.57/17.32 tff(24332,plain,
% 25.57/17.32 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | (~v100(constB154)) | v129(constB154, bitIndex0))),
% 25.57/17.32 inference(quant_inst,[status(thm)],[])).
% 25.57/17.32 tff(24333,plain,
% 25.57/17.32 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB154, bitIndex0)) | v129(constB154, bitIndex0) | (~v100(constB154))),
% 25.57/17.32 inference(modus_ponens,[status(thm)],[24332, 24331])).
% 25.57/17.32 tff(24334,plain,
% 25.57/17.32 ((~v90(constB154, bitIndex0)) | (~v100(constB154))),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24333, 1374, 24327])).
% 25.57/17.32 tff(24335,plain,
% 25.57/17.32 (~v90(constB154, bitIndex0)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24334, 24233])).
% 25.57/17.32 tff(24336,plain,
% 25.57/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex0)))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24337,plain,
% 25.57/17.32 (((~nextState(constB154, constB155)) | v90(constB154, bitIndex0) | v100(constB155) | (~v90(constB155, bitIndex0))) <=> (v90(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex0)))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24338,plain,
% 25.57/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex0) | v100(constB155) | (~v90(constB155, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex0))))),
% 25.57/17.32 inference(monotonicity,[status(thm)],[24337])).
% 25.57/17.32 tff(24339,plain,
% 25.57/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex0) | v100(constB155) | (~v90(constB155, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex0)))),
% 25.57/17.32 inference(transitivity,[status(thm)],[24338, 24336])).
% 25.57/17.32 tff(24340,plain,
% 25.57/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex0) | v100(constB155) | (~v90(constB155, bitIndex0)))),
% 25.57/17.32 inference(quant_inst,[status(thm)],[])).
% 25.57/17.32 tff(24341,plain,
% 25.57/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex0))),
% 25.57/17.32 inference(modus_ponens,[status(thm)],[24340, 24339])).
% 25.57/17.32 tff(24342,plain,
% 25.57/17.32 (v90(constB154, bitIndex0) | v100(constB155) | (~v90(constB155, bitIndex0))),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24341, 934, 24093])).
% 25.57/17.32 tff(24343,plain,
% 25.57/17.32 (v90(constB154, bitIndex0) | (~v90(constB155, bitIndex0))),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24342, 24270])).
% 25.57/17.32 tff(24344,plain,
% 25.57/17.32 (~v90(constB155, bitIndex0)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24343, 24335])).
% 25.57/17.32 tff(24345,plain,
% 25.57/17.32 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2)) | v125(constB155))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2)) | v125(constB155))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24346,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2)) | v125(constB155))),
% 25.57/17.32 inference(quant_inst,[status(thm)],[])).
% 25.57/17.32 tff(24347,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2)) | v125(constB155)),
% 25.57/17.32 inference(modus_ponens,[status(thm)],[24346, 24345])).
% 25.57/17.32 tff(24348,plain,
% 25.57/17.32 (v125(constB155)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24347, 1661, 24344, 24310, 24279])).
% 25.57/17.32 tff(24349,plain,
% 25.57/17.32 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB155)) | v113(constB155))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB155)) | v113(constB155))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24350,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB155)) | v113(constB155))),
% 25.57/17.32 inference(quant_inst,[status(thm)],[])).
% 25.57/17.32 tff(24351,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB155)) | v113(constB155)),
% 25.57/17.32 inference(modus_ponens,[status(thm)],[24350, 24349])).
% 25.57/17.32 tff(24352,plain,
% 25.57/17.32 (v113(constB155)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24351, 1672, 24348])).
% 25.57/17.32 tff(24353,assumption,(v26(constB155)), introduced(assumption)).
% 25.57/17.32 tff(24354,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB155))),
% 25.57/17.32 inference(quant_inst,[status(thm)],[])).
% 25.57/17.32 tff(24355,plain,
% 25.57/17.32 ($false),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24354, 797, 24353])).
% 25.57/17.32 tff(24356,plain,(~v26(constB155)), inference(lemma,lemma(discharge,[]))).
% 25.57/17.32 tff(24357,plain,
% 25.57/17.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | (~v113(constB155)) | v112(constB155))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24358,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))),
% 25.57/17.32 inference(quant_inst,[status(thm)],[])).
% 25.57/17.32 tff(24359,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | (~v113(constB155)) | v112(constB155)),
% 25.57/17.32 inference(modus_ponens,[status(thm)],[24358, 24357])).
% 25.57/17.32 tff(24360,plain,
% 25.57/17.32 ((~v113(constB155)) | v112(constB155)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24359, 1050, 24356])).
% 25.57/17.32 tff(24361,plain,
% 25.57/17.32 (v112(constB155)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24360, 24352])).
% 25.57/17.32 tff(24362,plain,
% 25.57/17.32 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB155) | (~v112(constB155)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB155) | (~v112(constB155)))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24363,plain,
% 25.57/17.32 (((~v112(constB155)) | v108(constB155)) <=> (v108(constB155) | (~v112(constB155)))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24364,plain,
% 25.57/17.32 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB155)) | v108(constB155))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB155) | (~v112(constB155))))),
% 25.57/17.32 inference(monotonicity,[status(thm)],[24363])).
% 25.57/17.32 tff(24365,plain,
% 25.57/17.32 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB155)) | v108(constB155))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB155) | (~v112(constB155)))),
% 25.57/17.32 inference(transitivity,[status(thm)],[24364, 24362])).
% 25.57/17.32 tff(24366,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB155)) | v108(constB155))),
% 25.57/17.32 inference(quant_inst,[status(thm)],[])).
% 25.57/17.32 tff(24367,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB155) | (~v112(constB155))),
% 25.57/17.32 inference(modus_ponens,[status(thm)],[24366, 24365])).
% 25.57/17.32 tff(24368,plain,
% 25.57/17.32 (v108(constB155)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24367, 1062, 24361])).
% 25.57/17.32 tff(24369,plain,
% 25.57/17.32 (nextState(constB155, constB156) <=> nextState(constB155, constB156)),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24370,axiom,(nextState(constB155, constB156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_155_1')).
% 25.57/17.32 tff(24371,plain,
% 25.57/17.32 (nextState(constB155, constB156)),
% 25.57/17.32 inference(modus_ponens,[status(thm)],[24370, 24369])).
% 25.57/17.32 tff(24372,plain,
% 25.57/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24373,plain,
% 25.57/17.32 (((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156)) <=> ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24374,plain,
% 25.57/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155))))),
% 25.57/17.32 inference(monotonicity,[status(thm)],[24373])).
% 25.57/17.32 tff(24375,plain,
% 25.57/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 25.57/17.32 inference(transitivity,[status(thm)],[24374, 24372])).
% 25.57/17.32 tff(24376,plain,
% 25.57/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))),
% 25.57/17.32 inference(quant_inst,[status(thm)],[])).
% 25.57/17.32 tff(24377,plain,
% 25.57/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155))),
% 25.57/17.32 inference(modus_ponens,[status(thm)],[24376, 24375])).
% 25.57/17.32 tff(24378,plain,
% 25.57/17.32 (v110(constB156) | (~v108(constB155))),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24377, 1082, 24371])).
% 25.57/17.32 tff(24379,plain,
% 25.57/17.32 (v110(constB156)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24378, 24368])).
% 25.57/17.32 tff(24380,plain,
% 25.57/17.32 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24381,plain,
% 25.57/17.32 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))),
% 25.57/17.32 inference(quant_inst,[status(thm)],[])).
% 25.57/17.32 tff(24382,plain,
% 25.57/17.32 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156))),
% 25.57/17.32 inference(modus_ponens,[status(thm)],[24381, 24380])).
% 25.57/17.32 tff(24383,plain,
% 25.57/17.32 (~v104(constB156)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24382, 1100, 24371, 24258])).
% 25.57/17.32 tff(24384,plain,
% 25.57/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24385,plain,
% 25.57/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))),
% 25.57/17.32 inference(quant_inst,[status(thm)],[])).
% 25.57/17.32 tff(24386,plain,
% 25.57/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v102(constB156) | v104(constB156)),
% 25.57/17.32 inference(modus_ponens,[status(thm)],[24385, 24384])).
% 25.57/17.32 tff(24387,plain,
% 25.57/17.32 (v102(constB156) | v104(constB156)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24386, 1114, 24371])).
% 25.57/17.32 tff(24388,plain,
% 25.57/17.32 (v102(constB156)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24387, 24383])).
% 25.57/17.32 tff(24389,plain,
% 25.57/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24390,plain,
% 25.57/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))),
% 25.57/17.32 inference(quant_inst,[status(thm)],[])).
% 25.57/17.32 tff(24391,plain,
% 25.57/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156))),
% 25.57/17.32 inference(modus_ponens,[status(thm)],[24390, 24389])).
% 25.57/17.32 tff(24392,plain,
% 25.57/17.32 (v101(constB156) | (~v102(constB156))),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24391, 1129, 24371, 416])).
% 25.57/17.32 tff(24393,plain,
% 25.57/17.32 (v101(constB156)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24392, 24388])).
% 25.57/17.32 tff(24394,plain,
% 25.57/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24395,plain,
% 25.57/17.32 (((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156)) <=> ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24396,plain,
% 25.57/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156))))),
% 25.57/17.32 inference(monotonicity,[status(thm)],[24395])).
% 25.57/17.32 tff(24397,plain,
% 25.57/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 25.57/17.32 inference(transitivity,[status(thm)],[24396, 24394])).
% 25.57/17.32 tff(24398,plain,
% 25.57/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))),
% 25.57/17.32 inference(quant_inst,[status(thm)],[])).
% 25.57/17.32 tff(24399,plain,
% 25.57/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 25.57/17.32 inference(modus_ponens,[status(thm)],[24398, 24397])).
% 25.57/17.32 tff(24400,plain,
% 25.57/17.32 (v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24399, 1144, 24371])).
% 25.57/17.32 tff(24401,plain,
% 25.57/17.32 (v100(constB156) | (~v110(constB156))),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24400, 24393])).
% 25.57/17.32 tff(24402,plain,
% 25.57/17.32 (v100(constB156)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24401, 24379])).
% 25.57/17.32 tff(24403,plain,
% 25.57/17.32 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB155)) | (~v90(constB155, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB155)) | (~v90(constB155, bitIndex2)))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24404,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB155)) | (~v90(constB155, bitIndex2)))),
% 25.57/17.32 inference(quant_inst,[status(thm)],[])).
% 25.57/17.32 tff(24405,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB155)) | (~v90(constB155, bitIndex2))),
% 25.57/17.32 inference(modus_ponens,[status(thm)],[24404, 24403])).
% 25.57/17.32 tff(24406,plain,
% 25.57/17.32 (~v121(constB155)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24405, 1729, 24279])).
% 25.57/17.32 tff(24407,plain,
% 25.57/17.32 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB155)) | (~v90(constB155, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB155)) | (~v90(constB155, bitIndex2)))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24408,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB155)) | (~v90(constB155, bitIndex2)))),
% 25.57/17.32 inference(quant_inst,[status(thm)],[])).
% 25.57/17.32 tff(24409,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB155)) | (~v90(constB155, bitIndex2))),
% 25.57/17.32 inference(modus_ponens,[status(thm)],[24408, 24407])).
% 25.57/17.32 tff(24410,plain,
% 25.57/17.32 (~v122(constB155)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24409, 1740, 24279])).
% 25.57/17.32 tff(24411,plain,
% 25.57/17.32 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB155)) | (~v90(constB155, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB155)) | (~v90(constB155, bitIndex1)))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24412,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB155)) | (~v90(constB155, bitIndex1)))),
% 25.57/17.32 inference(quant_inst,[status(thm)],[])).
% 25.57/17.32 tff(24413,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB155)) | (~v90(constB155, bitIndex1))),
% 25.57/17.32 inference(modus_ponens,[status(thm)],[24412, 24411])).
% 25.57/17.32 tff(24414,plain,
% 25.57/17.32 (~v119(constB155)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24413, 1751, 24310])).
% 25.57/17.32 tff(24415,plain,
% 25.57/17.32 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB155)) | (~v90(constB155, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB155)) | (~v90(constB155, bitIndex1)))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24416,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB155)) | (~v90(constB155, bitIndex1)))),
% 25.57/17.32 inference(quant_inst,[status(thm)],[])).
% 25.57/17.32 tff(24417,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB155)) | (~v90(constB155, bitIndex1))),
% 25.57/17.32 inference(modus_ponens,[status(thm)],[24416, 24415])).
% 25.57/17.32 tff(24418,plain,
% 25.57/17.32 (~v120(constB155)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24417, 1762, 24310])).
% 25.57/17.32 tff(24419,plain,
% 25.57/17.32 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB155)) | (~v90(constB155, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB155)) | (~v90(constB155, bitIndex1)))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24420,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB155)) | (~v90(constB155, bitIndex1)))),
% 25.57/17.32 inference(quant_inst,[status(thm)],[])).
% 25.57/17.32 tff(24421,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB155)) | (~v90(constB155, bitIndex1))),
% 25.57/17.32 inference(modus_ponens,[status(thm)],[24420, 24419])).
% 25.57/17.32 tff(24422,plain,
% 25.57/17.32 (~v124(constB155)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24421, 1784, 24310])).
% 25.57/17.32 tff(24423,plain,
% 25.57/17.32 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB155)) | (~v90(constB155, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB155)) | (~v90(constB155, bitIndex1)))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24424,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB155)) | (~v90(constB155, bitIndex1)))),
% 25.57/17.32 inference(quant_inst,[status(thm)],[])).
% 25.57/17.32 tff(24425,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB155)) | (~v90(constB155, bitIndex1))),
% 25.57/17.32 inference(modus_ponens,[status(thm)],[24424, 24423])).
% 25.57/17.32 tff(24426,plain,
% 25.57/17.32 (~v123(constB155)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24425, 1773, 24310])).
% 25.57/17.32 tff(24427,plain,
% 25.57/17.32 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex2)))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24428,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex2)))),
% 25.57/17.32 inference(quant_inst,[status(thm)],[])).
% 25.57/17.32 tff(24429,plain,
% 25.57/17.32 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex2))),
% 25.57/17.32 inference(modus_ponens,[status(thm)],[24428, 24427])).
% 25.57/17.32 tff(24430,plain,
% 25.57/17.32 (~v130(constB155, bitIndex2)),
% 25.57/17.32 inference(unit_resolution,[status(thm)],[24429, 1798, 24426, 24422, 24418, 24414, 24410, 24406])).
% 25.57/17.32 tff(24431,plain,
% 25.57/17.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB155, bitIndex2)) | v26(constB155) | v130(constB155, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB155, bitIndex2)) | v26(constB155) | v130(constB155, bitIndex2))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24432,plain,
% 25.57/17.32 ((v26(constB155) | v130(constB155, bitIndex2) | (~v127(constB155, bitIndex2))) <=> ((~v127(constB155, bitIndex2)) | v26(constB155) | v130(constB155, bitIndex2))),
% 25.57/17.32 inference(rewrite,[status(thm)],[])).
% 25.57/17.32 tff(24433,plain,
% 25.57/17.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB155) | v130(constB155, bitIndex2) | (~v127(constB155, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB155, bitIndex2)) | v26(constB155) | v130(constB155, bitIndex2)))),
% 25.57/17.33 inference(monotonicity,[status(thm)],[24432])).
% 25.57/17.33 tff(24434,plain,
% 25.57/17.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB155) | v130(constB155, bitIndex2) | (~v127(constB155, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB155, bitIndex2)) | v26(constB155) | v130(constB155, bitIndex2))),
% 25.57/17.33 inference(transitivity,[status(thm)],[24433, 24431])).
% 25.57/17.33 tff(24435,plain,
% 25.57/17.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB155) | v130(constB155, bitIndex2) | (~v127(constB155, bitIndex2)))),
% 25.57/17.33 inference(quant_inst,[status(thm)],[])).
% 25.57/17.33 tff(24436,plain,
% 25.57/17.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB155, bitIndex2)) | v26(constB155) | v130(constB155, bitIndex2)),
% 25.57/17.33 inference(modus_ponens,[status(thm)],[24435, 24434])).
% 25.57/17.33 tff(24437,plain,
% 25.57/17.33 ((~v127(constB155, bitIndex2)) | v130(constB155, bitIndex2)),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24436, 1812, 24356])).
% 25.57/17.33 tff(24438,plain,
% 25.57/17.33 (~v127(constB155, bitIndex2)),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24437, 24430])).
% 25.57/17.33 tff(24439,plain,
% 25.57/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB155, constB156)) | v127(constB155, bitIndex2) | (~v129(constB156, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB155, constB156)) | v127(constB155, bitIndex2) | (~v129(constB156, bitIndex2)))),
% 25.57/17.33 inference(rewrite,[status(thm)],[])).
% 25.57/17.33 tff(24440,plain,
% 25.57/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB155, constB156)) | v127(constB155, bitIndex2) | (~v129(constB156, bitIndex2)))),
% 25.57/17.33 inference(quant_inst,[status(thm)],[])).
% 25.57/17.33 tff(24441,plain,
% 25.57/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB155, constB156)) | v127(constB155, bitIndex2) | (~v129(constB156, bitIndex2))),
% 25.57/17.33 inference(modus_ponens,[status(thm)],[24440, 24439])).
% 25.57/17.33 tff(24442,plain,
% 25.57/17.33 (v127(constB155, bitIndex2) | (~v129(constB156, bitIndex2))),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24441, 1830, 24371])).
% 25.57/17.33 tff(24443,plain,
% 25.57/17.33 (~v129(constB156, bitIndex2)),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24442, 24438])).
% 25.57/17.33 tff(24444,plain,
% 25.57/17.33 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB156, bitIndex2)) | v129(constB156, bitIndex2) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB156, bitIndex2)) | v129(constB156, bitIndex2) | (~v100(constB156)))),
% 25.57/17.33 inference(rewrite,[status(thm)],[])).
% 25.57/17.33 tff(24445,plain,
% 25.57/17.33 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB156, bitIndex2)) | v129(constB156, bitIndex2) | (~v100(constB156)))),
% 25.57/17.33 inference(quant_inst,[status(thm)],[])).
% 25.57/17.33 tff(24446,plain,
% 25.57/17.33 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB156, bitIndex2)) | v129(constB156, bitIndex2) | (~v100(constB156))),
% 25.57/17.33 inference(modus_ponens,[status(thm)],[24445, 24444])).
% 25.57/17.33 tff(24447,plain,
% 25.57/17.33 ((~v90(constB156, bitIndex2)) | (~v100(constB156))),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24446, 1845, 24443])).
% 25.57/17.33 tff(24448,plain,
% 25.57/17.33 (~v90(constB156, bitIndex2)),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24447, 24402])).
% 25.57/17.33 tff(24449,plain,
% 25.57/17.33 ((~v1(constB157)) <=> (~v1(constB157))),
% 25.57/17.33 inference(rewrite,[status(thm)],[])).
% 25.57/17.33 tff(24450,axiom,(~v1(constB157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_157_1_1')).
% 25.57/17.33 tff(24451,plain,
% 25.57/17.33 (~v1(constB157)),
% 25.57/17.33 inference(modus_ponens,[status(thm)],[24450, 24449])).
% 25.57/17.33 tff(24452,plain,
% 25.57/17.33 (nextState(constB156, constB157) <=> nextState(constB156, constB157)),
% 25.57/17.33 inference(rewrite,[status(thm)],[])).
% 25.57/17.33 tff(24453,axiom,(nextState(constB156, constB157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_156_1')).
% 25.57/17.33 tff(24454,plain,
% 25.57/17.33 (nextState(constB156, constB157)),
% 25.57/17.33 inference(modus_ponens,[status(thm)],[24453, 24452])).
% 25.57/17.33 tff(24455,plain,
% 25.57/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 25.57/17.33 inference(rewrite,[status(thm)],[])).
% 25.57/17.33 tff(24456,plain,
% 25.57/17.33 (((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157)) <=> (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 25.57/17.33 inference(rewrite,[status(thm)],[])).
% 25.57/17.33 tff(24457,plain,
% 25.57/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157))))),
% 25.57/17.33 inference(monotonicity,[status(thm)],[24456])).
% 25.57/17.33 tff(24458,plain,
% 25.57/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 25.57/17.33 inference(transitivity,[status(thm)],[24457, 24455])).
% 25.57/17.33 tff(24459,plain,
% 25.57/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))),
% 25.57/17.33 inference(quant_inst,[status(thm)],[])).
% 25.57/17.33 tff(24460,plain,
% 25.57/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157))),
% 25.57/17.33 inference(modus_ponens,[status(thm)],[24459, 24458])).
% 25.57/17.33 tff(24461,plain,
% 25.57/17.33 (~v101(constB157)),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24460, 860, 24454, 24451])).
% 25.57/17.33 tff(24462,plain,
% 25.57/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))),
% 25.57/17.33 inference(rewrite,[status(thm)],[])).
% 25.57/17.33 tff(24463,plain,
% 25.57/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))),
% 25.57/17.33 inference(quant_inst,[status(thm)],[])).
% 25.57/17.33 tff(24464,plain,
% 25.57/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157))),
% 25.57/17.33 inference(modus_ponens,[status(thm)],[24463, 24462])).
% 25.57/17.33 tff(24465,plain,
% 25.57/17.33 (v101(constB157) | (~v100(constB157))),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24464, 877, 24454])).
% 25.57/17.33 tff(24466,plain,
% 25.57/17.33 (~v100(constB157)),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24465, 24461])).
% 25.57/17.33 tff(24467,plain,
% 25.57/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex2)))),
% 25.57/17.33 inference(rewrite,[status(thm)],[])).
% 25.57/17.33 tff(24468,plain,
% 25.57/17.33 (((~nextState(constB156, constB157)) | v90(constB156, bitIndex2) | v100(constB157) | (~v90(constB157, bitIndex2))) <=> (v90(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex2)))),
% 25.57/17.33 inference(rewrite,[status(thm)],[])).
% 25.57/17.33 tff(24469,plain,
% 25.57/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex2) | v100(constB157) | (~v90(constB157, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex2))))),
% 25.57/17.33 inference(monotonicity,[status(thm)],[24468])).
% 25.57/17.33 tff(24470,plain,
% 25.57/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex2) | v100(constB157) | (~v90(constB157, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex2)))),
% 25.57/17.33 inference(transitivity,[status(thm)],[24469, 24467])).
% 25.57/17.33 tff(24471,plain,
% 25.57/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex2) | v100(constB157) | (~v90(constB157, bitIndex2)))),
% 25.57/17.33 inference(quant_inst,[status(thm)],[])).
% 25.57/17.33 tff(24472,plain,
% 25.57/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex2))),
% 25.57/17.33 inference(modus_ponens,[status(thm)],[24471, 24470])).
% 25.57/17.33 tff(24473,plain,
% 25.57/17.33 (v90(constB156, bitIndex2) | v100(constB157) | (~v90(constB157, bitIndex2))),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24472, 892, 24454])).
% 25.57/17.33 tff(24474,plain,
% 25.57/17.33 (v90(constB156, bitIndex2) | (~v90(constB157, bitIndex2))),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24473, 24466])).
% 25.57/17.33 tff(24475,plain,
% 25.57/17.33 (~v90(constB157, bitIndex2)),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24474, 24448])).
% 25.57/17.33 tff(24476,plain,
% 25.57/17.33 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex1)))),
% 25.57/17.33 inference(rewrite,[status(thm)],[])).
% 25.57/17.33 tff(24477,plain,
% 25.57/17.33 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex1)))),
% 25.57/17.33 inference(quant_inst,[status(thm)],[])).
% 25.57/17.33 tff(24478,plain,
% 25.57/17.33 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex1))),
% 25.57/17.33 inference(modus_ponens,[status(thm)],[24477, 24476])).
% 25.57/17.33 tff(24479,plain,
% 25.57/17.33 (~v130(constB155, bitIndex1)),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24478, 1887, 24426, 24422, 24418, 24414, 24410, 24406])).
% 25.57/17.33 tff(24480,plain,
% 25.57/17.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB155, bitIndex1)) | v26(constB155) | v130(constB155, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB155, bitIndex1)) | v26(constB155) | v130(constB155, bitIndex1))),
% 25.57/17.33 inference(rewrite,[status(thm)],[])).
% 25.57/17.33 tff(24481,plain,
% 25.57/17.33 ((v26(constB155) | v130(constB155, bitIndex1) | (~v127(constB155, bitIndex1))) <=> ((~v127(constB155, bitIndex1)) | v26(constB155) | v130(constB155, bitIndex1))),
% 25.57/17.33 inference(rewrite,[status(thm)],[])).
% 25.57/17.33 tff(24482,plain,
% 25.57/17.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB155) | v130(constB155, bitIndex1) | (~v127(constB155, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB155, bitIndex1)) | v26(constB155) | v130(constB155, bitIndex1)))),
% 25.57/17.33 inference(monotonicity,[status(thm)],[24481])).
% 25.57/17.33 tff(24483,plain,
% 25.57/17.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB155) | v130(constB155, bitIndex1) | (~v127(constB155, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB155, bitIndex1)) | v26(constB155) | v130(constB155, bitIndex1))),
% 25.57/17.33 inference(transitivity,[status(thm)],[24482, 24480])).
% 25.57/17.33 tff(24484,plain,
% 25.57/17.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB155) | v130(constB155, bitIndex1) | (~v127(constB155, bitIndex1)))),
% 25.57/17.33 inference(quant_inst,[status(thm)],[])).
% 25.57/17.33 tff(24485,plain,
% 25.57/17.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB155, bitIndex1)) | v26(constB155) | v130(constB155, bitIndex1)),
% 25.57/17.33 inference(modus_ponens,[status(thm)],[24484, 24483])).
% 25.57/17.33 tff(24486,plain,
% 25.57/17.33 ((~v127(constB155, bitIndex1)) | v130(constB155, bitIndex1)),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24485, 1270, 24356])).
% 25.57/17.33 tff(24487,plain,
% 25.57/17.33 (~v127(constB155, bitIndex1)),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24486, 24479])).
% 25.57/17.33 tff(24488,plain,
% 25.57/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB155, constB156)) | v127(constB155, bitIndex1) | (~v129(constB156, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB155, constB156)) | v127(constB155, bitIndex1) | (~v129(constB156, bitIndex1)))),
% 25.57/17.33 inference(rewrite,[status(thm)],[])).
% 25.57/17.33 tff(24489,plain,
% 25.57/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB155, constB156)) | v127(constB155, bitIndex1) | (~v129(constB156, bitIndex1)))),
% 25.57/17.33 inference(quant_inst,[status(thm)],[])).
% 25.57/17.33 tff(24490,plain,
% 25.57/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB155, constB156)) | v127(constB155, bitIndex1) | (~v129(constB156, bitIndex1))),
% 25.57/17.33 inference(modus_ponens,[status(thm)],[24489, 24488])).
% 25.57/17.33 tff(24491,plain,
% 25.57/17.33 (v127(constB155, bitIndex1) | (~v129(constB156, bitIndex1))),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24490, 1288, 24371])).
% 25.57/17.33 tff(24492,plain,
% 25.57/17.33 (~v129(constB156, bitIndex1)),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24491, 24487])).
% 25.57/17.33 tff(24493,plain,
% 25.57/17.33 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | v129(constB156, bitIndex1) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | v129(constB156, bitIndex1) | (~v100(constB156)))),
% 25.57/17.33 inference(rewrite,[status(thm)],[])).
% 25.57/17.33 tff(24494,plain,
% 25.57/17.33 (((~v90(constB156, bitIndex1)) | (~v100(constB156)) | v129(constB156, bitIndex1)) <=> ((~v90(constB156, bitIndex1)) | v129(constB156, bitIndex1) | (~v100(constB156)))),
% 25.57/17.33 inference(rewrite,[status(thm)],[])).
% 25.57/17.33 tff(24495,plain,
% 25.57/17.33 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | (~v100(constB156)) | v129(constB156, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | v129(constB156, bitIndex1) | (~v100(constB156))))),
% 25.57/17.33 inference(monotonicity,[status(thm)],[24494])).
% 25.57/17.33 tff(24496,plain,
% 25.57/17.33 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | (~v100(constB156)) | v129(constB156, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | v129(constB156, bitIndex1) | (~v100(constB156)))),
% 25.57/17.33 inference(transitivity,[status(thm)],[24495, 24493])).
% 25.57/17.33 tff(24497,plain,
% 25.57/17.33 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | (~v100(constB156)) | v129(constB156, bitIndex1))),
% 25.57/17.33 inference(quant_inst,[status(thm)],[])).
% 25.57/17.33 tff(24498,plain,
% 25.57/17.33 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | v129(constB156, bitIndex1) | (~v100(constB156))),
% 25.57/17.33 inference(modus_ponens,[status(thm)],[24497, 24496])).
% 25.57/17.33 tff(24499,plain,
% 25.57/17.33 ((~v90(constB156, bitIndex1)) | (~v100(constB156))),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24498, 1303, 24492])).
% 25.57/17.33 tff(24500,plain,
% 25.57/17.33 (~v90(constB156, bitIndex1)),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24499, 24402])).
% 25.57/17.33 tff(24501,plain,
% 25.57/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex1)))),
% 25.57/17.33 inference(rewrite,[status(thm)],[])).
% 25.57/17.33 tff(24502,plain,
% 25.57/17.33 (((~nextState(constB156, constB157)) | v90(constB156, bitIndex1) | v100(constB157) | (~v90(constB157, bitIndex1))) <=> (v90(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex1)))),
% 25.57/17.33 inference(rewrite,[status(thm)],[])).
% 25.57/17.33 tff(24503,plain,
% 25.57/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex1) | v100(constB157) | (~v90(constB157, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex1))))),
% 25.57/17.33 inference(monotonicity,[status(thm)],[24502])).
% 25.57/17.33 tff(24504,plain,
% 25.57/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex1) | v100(constB157) | (~v90(constB157, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex1)))),
% 25.57/17.33 inference(transitivity,[status(thm)],[24503, 24501])).
% 25.57/17.33 tff(24505,plain,
% 25.57/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex1) | v100(constB157) | (~v90(constB157, bitIndex1)))),
% 25.57/17.33 inference(quant_inst,[status(thm)],[])).
% 25.57/17.33 tff(24506,plain,
% 25.57/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex1))),
% 25.57/17.33 inference(modus_ponens,[status(thm)],[24505, 24504])).
% 25.57/17.33 tff(24507,plain,
% 25.57/17.33 (v90(constB156, bitIndex1) | v100(constB157) | (~v90(constB157, bitIndex1))),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24506, 913, 24454])).
% 25.57/17.33 tff(24508,plain,
% 25.57/17.33 (v90(constB156, bitIndex1) | (~v90(constB157, bitIndex1))),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24507, 24466])).
% 25.57/17.33 tff(24509,plain,
% 25.57/17.33 (~v90(constB157, bitIndex1)),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24508, 24500])).
% 25.57/17.33 tff(24510,plain,
% 25.57/17.33 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | v130(constB155, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | v130(constB155, bitIndex0))),
% 25.57/17.33 inference(rewrite,[status(thm)],[])).
% 25.57/17.33 tff(24511,plain,
% 25.57/17.33 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | v130(constB155, bitIndex0))),
% 25.57/17.33 inference(quant_inst,[status(thm)],[])).
% 25.57/17.33 tff(24512,plain,
% 25.57/17.33 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | v130(constB155, bitIndex0)),
% 25.57/17.33 inference(modus_ponens,[status(thm)],[24511, 24510])).
% 25.57/17.33 tff(24513,plain,
% 25.57/17.33 (v130(constB155, bitIndex0)),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24512, 1931, 24426, 24422, 24418, 24414, 24410, 24406])).
% 25.57/17.33 tff(24514,plain,
% 25.57/17.33 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB155) | (~v130(constB155, bitIndex0)) | v127(constB155, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB155) | (~v130(constB155, bitIndex0)) | v127(constB155, bitIndex0))),
% 25.57/17.33 inference(rewrite,[status(thm)],[])).
% 25.57/17.33 tff(24515,plain,
% 25.57/17.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB155) | (~v130(constB155, bitIndex0)) | v127(constB155, bitIndex0))),
% 25.57/17.33 inference(quant_inst,[status(thm)],[])).
% 25.57/17.33 tff(24516,plain,
% 25.57/17.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB155) | (~v130(constB155, bitIndex0)) | v127(constB155, bitIndex0)),
% 25.57/17.33 inference(modus_ponens,[status(thm)],[24515, 24514])).
% 25.57/17.33 tff(24517,plain,
% 25.57/17.33 ((~v130(constB155, bitIndex0)) | v127(constB155, bitIndex0)),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24516, 1945, 24356])).
% 25.57/17.33 tff(24518,plain,
% 25.57/17.33 (v127(constB155, bitIndex0)),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24517, 24513])).
% 25.57/17.33 tff(24519,plain,
% 25.57/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex0)) | v129(constB156, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex0)) | v129(constB156, bitIndex0))),
% 25.57/17.33 inference(rewrite,[status(thm)],[])).
% 25.57/17.33 tff(24520,plain,
% 25.57/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex0)) | v129(constB156, bitIndex0))),
% 25.57/17.33 inference(quant_inst,[status(thm)],[])).
% 25.57/17.33 tff(24521,plain,
% 25.57/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex0)) | v129(constB156, bitIndex0)),
% 25.57/17.33 inference(modus_ponens,[status(thm)],[24520, 24519])).
% 25.57/17.33 tff(24522,plain,
% 25.57/17.33 ((~v127(constB155, bitIndex0)) | v129(constB156, bitIndex0)),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24521, 1960, 24371])).
% 25.57/17.33 tff(24523,plain,
% 25.57/17.33 (v129(constB156, bitIndex0)),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24522, 24518])).
% 25.57/17.33 tff(24524,plain,
% 25.57/17.33 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~v129(constB156, bitIndex0)) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB156, bitIndex0) | (~v129(constB156, bitIndex0)) | (~v100(constB156)))),
% 25.57/17.33 inference(rewrite,[status(thm)],[])).
% 25.57/17.33 tff(24525,plain,
% 25.57/17.33 ((v90(constB156, bitIndex0) | (~v100(constB156)) | (~v129(constB156, bitIndex0))) <=> (v90(constB156, bitIndex0) | (~v129(constB156, bitIndex0)) | (~v100(constB156)))),
% 25.57/17.33 inference(rewrite,[status(thm)],[])).
% 25.57/17.33 tff(24526,plain,
% 25.57/17.33 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~v100(constB156)) | (~v129(constB156, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~v129(constB156, bitIndex0)) | (~v100(constB156))))),
% 25.57/17.33 inference(monotonicity,[status(thm)],[24525])).
% 25.57/17.33 tff(24527,plain,
% 25.57/17.33 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~v100(constB156)) | (~v129(constB156, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB156, bitIndex0) | (~v129(constB156, bitIndex0)) | (~v100(constB156)))),
% 25.57/17.33 inference(transitivity,[status(thm)],[24526, 24524])).
% 25.57/17.33 tff(24528,plain,
% 25.57/17.33 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~v100(constB156)) | (~v129(constB156, bitIndex0)))),
% 25.57/17.33 inference(quant_inst,[status(thm)],[])).
% 25.57/17.33 tff(24529,plain,
% 25.57/17.33 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB156, bitIndex0) | (~v129(constB156, bitIndex0)) | (~v100(constB156))),
% 25.57/17.33 inference(modus_ponens,[status(thm)],[24528, 24527])).
% 25.57/17.33 tff(24530,plain,
% 25.57/17.33 (v90(constB156, bitIndex0) | (~v100(constB156))),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24529, 1975, 24523])).
% 25.57/17.33 tff(24531,plain,
% 25.57/17.33 (v90(constB156, bitIndex0)),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24530, 24402])).
% 25.57/17.33 tff(24532,plain,
% 25.57/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex0))),
% 25.57/17.33 inference(rewrite,[status(thm)],[])).
% 25.57/17.33 tff(24533,plain,
% 25.57/17.33 (((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex0)) | v100(constB157) | v90(constB157, bitIndex0)) <=> ((~v90(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex0))),
% 25.57/17.33 inference(rewrite,[status(thm)],[])).
% 25.57/17.33 tff(24534,plain,
% 25.57/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex0)) | v100(constB157) | v90(constB157, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex0)))),
% 25.57/17.33 inference(monotonicity,[status(thm)],[24533])).
% 25.57/17.33 tff(24535,plain,
% 25.57/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex0)) | v100(constB157) | v90(constB157, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex0))),
% 25.57/17.33 inference(transitivity,[status(thm)],[24534, 24532])).
% 25.57/17.33 tff(24536,plain,
% 25.57/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex0)) | v100(constB157) | v90(constB157, bitIndex0))),
% 25.57/17.33 inference(quant_inst,[status(thm)],[])).
% 25.57/17.33 tff(24537,plain,
% 25.57/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex0)),
% 25.57/17.33 inference(modus_ponens,[status(thm)],[24536, 24535])).
% 25.57/17.33 tff(24538,plain,
% 25.57/17.33 ((~v90(constB156, bitIndex0)) | v100(constB157) | v90(constB157, bitIndex0)),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24537, 1993, 24454])).
% 25.57/17.33 tff(24539,plain,
% 25.57/17.33 ((~v90(constB156, bitIndex0)) | v90(constB157, bitIndex0)),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24538, 24466])).
% 25.57/17.33 tff(24540,plain,
% 25.57/17.33 (v90(constB157, bitIndex0)),
% 25.57/17.33 inference(unit_resolution,[status(thm)],[24539, 24531])).
% 25.57/17.33 tff(24541,plain,
% 25.57/17.33 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB157, bitIndex0)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v120(constB157))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB157, bitIndex0)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v120(constB157))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24542,plain,
% 25.57/17.34 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB157, bitIndex0)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v120(constB157))),
% 25.57/17.34 inference(quant_inst,[status(thm)],[])).
% 25.57/17.34 tff(24543,plain,
% 25.57/17.34 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB157, bitIndex0)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v120(constB157)),
% 25.57/17.34 inference(modus_ponens,[status(thm)],[24542, 24541])).
% 25.57/17.34 tff(24544,plain,
% 25.57/17.34 (v120(constB157)),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24543, 2012, 24540, 24509, 24475])).
% 25.57/17.34 tff(24545,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB157)) | v118(constB157))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB157)) | v118(constB157))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24546,plain,
% 25.57/17.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB157)) | v118(constB157))),
% 25.57/17.34 inference(quant_inst,[status(thm)],[])).
% 25.57/17.34 tff(24547,plain,
% 25.57/17.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB157)) | v118(constB157)),
% 25.57/17.34 inference(modus_ponens,[status(thm)],[24546, 24545])).
% 25.57/17.34 tff(24548,plain,
% 25.57/17.34 (v118(constB157)),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24547, 2210, 24544])).
% 25.57/17.34 tff(24549,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB157) | (~v118(constB157)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB157) | (~v118(constB157)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24550,plain,
% 25.57/17.34 (((~v118(constB157)) | v117(constB157)) <=> (v117(constB157) | (~v118(constB157)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24551,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB157)) | v117(constB157))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB157) | (~v118(constB157))))),
% 25.57/17.34 inference(monotonicity,[status(thm)],[24550])).
% 25.57/17.34 tff(24552,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB157)) | v117(constB157))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB157) | (~v118(constB157)))),
% 25.57/17.34 inference(transitivity,[status(thm)],[24551, 24549])).
% 25.57/17.34 tff(24553,plain,
% 25.57/17.34 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB157)) | v117(constB157))),
% 25.57/17.34 inference(quant_inst,[status(thm)],[])).
% 25.57/17.34 tff(24554,plain,
% 25.57/17.34 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB157) | (~v118(constB157))),
% 25.57/17.34 inference(modus_ponens,[status(thm)],[24553, 24552])).
% 25.57/17.34 tff(24555,plain,
% 25.57/17.34 (v117(constB157)),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24554, 980, 24548])).
% 25.57/17.34 tff(24556,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB157) | (~v117(constB157)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB157) | (~v117(constB157)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24557,plain,
% 25.57/17.34 (((~v117(constB157)) | v116(constB157)) <=> (v116(constB157) | (~v117(constB157)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24558,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB157)) | v116(constB157))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB157) | (~v117(constB157))))),
% 25.57/17.34 inference(monotonicity,[status(thm)],[24557])).
% 25.57/17.34 tff(24559,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB157)) | v116(constB157))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB157) | (~v117(constB157)))),
% 25.57/17.34 inference(transitivity,[status(thm)],[24558, 24556])).
% 25.57/17.34 tff(24560,plain,
% 25.57/17.34 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB157)) | v116(constB157))),
% 25.57/17.34 inference(quant_inst,[status(thm)],[])).
% 25.57/17.34 tff(24561,plain,
% 25.57/17.34 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB157) | (~v117(constB157))),
% 25.57/17.34 inference(modus_ponens,[status(thm)],[24560, 24559])).
% 25.57/17.34 tff(24562,plain,
% 25.57/17.34 (v116(constB157)),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24561, 994, 24555])).
% 25.57/17.34 tff(24563,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB157) | (~v116(constB157)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB157) | (~v116(constB157)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24564,plain,
% 25.57/17.34 (((~v116(constB157)) | v115(constB157)) <=> (v115(constB157) | (~v116(constB157)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24565,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB157)) | v115(constB157))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB157) | (~v116(constB157))))),
% 25.57/17.34 inference(monotonicity,[status(thm)],[24564])).
% 25.57/17.34 tff(24566,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB157)) | v115(constB157))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB157) | (~v116(constB157)))),
% 25.57/17.34 inference(transitivity,[status(thm)],[24565, 24563])).
% 25.57/17.34 tff(24567,plain,
% 25.57/17.34 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB157)) | v115(constB157))),
% 25.57/17.34 inference(quant_inst,[status(thm)],[])).
% 25.57/17.34 tff(24568,plain,
% 25.57/17.34 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB157) | (~v116(constB157))),
% 25.57/17.34 inference(modus_ponens,[status(thm)],[24567, 24566])).
% 25.57/17.34 tff(24569,plain,
% 25.57/17.34 (v115(constB157)),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24568, 1008, 24562])).
% 25.57/17.34 tff(24570,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB157) | (~v115(constB157)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB157) | (~v115(constB157)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24571,plain,
% 25.57/17.34 (((~v115(constB157)) | v114(constB157)) <=> (v114(constB157) | (~v115(constB157)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24572,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB157)) | v114(constB157))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB157) | (~v115(constB157))))),
% 25.57/17.34 inference(monotonicity,[status(thm)],[24571])).
% 25.57/17.34 tff(24573,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB157)) | v114(constB157))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB157) | (~v115(constB157)))),
% 25.57/17.34 inference(transitivity,[status(thm)],[24572, 24570])).
% 25.57/17.34 tff(24574,plain,
% 25.57/17.34 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB157)) | v114(constB157))),
% 25.57/17.34 inference(quant_inst,[status(thm)],[])).
% 25.57/17.34 tff(24575,plain,
% 25.57/17.34 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB157) | (~v115(constB157))),
% 25.57/17.34 inference(modus_ponens,[status(thm)],[24574, 24573])).
% 25.57/17.34 tff(24576,plain,
% 25.57/17.34 (v114(constB157)),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24575, 1022, 24569])).
% 25.57/17.34 tff(24577,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB157)) | v113(constB157))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB157)) | v113(constB157))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24578,plain,
% 25.57/17.34 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB157)) | v113(constB157))),
% 25.57/17.34 inference(quant_inst,[status(thm)],[])).
% 25.57/17.34 tff(24579,plain,
% 25.57/17.34 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB157)) | v113(constB157)),
% 25.57/17.34 inference(modus_ponens,[status(thm)],[24578, 24577])).
% 25.57/17.34 tff(24580,plain,
% 25.57/17.34 (v113(constB157)),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24579, 1036, 24576])).
% 25.57/17.34 tff(24581,assumption,(~v108(constB157)), introduced(assumption)).
% 25.57/17.34 tff(24582,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB157) | (~v112(constB157)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v112(constB157)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24583,plain,
% 25.57/17.34 (((~v112(constB157)) | v108(constB157)) <=> (v108(constB157) | (~v112(constB157)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24584,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB157)) | v108(constB157))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB157) | (~v112(constB157))))),
% 25.57/17.34 inference(monotonicity,[status(thm)],[24583])).
% 25.57/17.34 tff(24585,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB157)) | v108(constB157))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v112(constB157)))),
% 25.57/17.34 inference(transitivity,[status(thm)],[24584, 24582])).
% 25.57/17.34 tff(24586,plain,
% 25.57/17.34 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB157)) | v108(constB157))),
% 25.57/17.34 inference(quant_inst,[status(thm)],[])).
% 25.57/17.34 tff(24587,plain,
% 25.57/17.34 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v112(constB157))),
% 25.57/17.34 inference(modus_ponens,[status(thm)],[24586, 24585])).
% 25.57/17.34 tff(24588,plain,
% 25.57/17.34 (~v112(constB157)),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24587, 1062, 24581])).
% 25.57/17.34 tff(24589,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB157) | (~v26(constB157)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v26(constB157)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24590,plain,
% 25.57/17.34 (((~v26(constB157)) | v108(constB157)) <=> (v108(constB157) | (~v26(constB157)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24591,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB157)) | v108(constB157))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB157) | (~v26(constB157))))),
% 25.57/17.34 inference(monotonicity,[status(thm)],[24590])).
% 25.57/17.34 tff(24592,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB157)) | v108(constB157))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v26(constB157)))),
% 25.57/17.34 inference(transitivity,[status(thm)],[24591, 24589])).
% 25.57/17.34 tff(24593,plain,
% 25.57/17.34 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB157)) | v108(constB157))),
% 25.57/17.34 inference(quant_inst,[status(thm)],[])).
% 25.57/17.34 tff(24594,plain,
% 25.57/17.34 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v26(constB157))),
% 25.57/17.34 inference(modus_ponens,[status(thm)],[24593, 24592])).
% 25.57/17.34 tff(24595,plain,
% 25.57/17.34 (~v26(constB157)),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24594, 2441, 24581])).
% 25.57/17.34 tff(24596,assumption,(v113(constB157)), introduced(assumption)).
% 25.57/17.34 tff(24597,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | v112(constB157) | (~v113(constB157)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24598,plain,
% 25.57/17.34 ((v26(constB157) | (~v113(constB157)) | v112(constB157)) <=> (v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24599,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | v112(constB157) | (~v113(constB157))))),
% 25.57/17.34 inference(monotonicity,[status(thm)],[24598])).
% 25.57/17.34 tff(24600,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 25.57/17.34 inference(transitivity,[status(thm)],[24599, 24597])).
% 25.57/17.34 tff(24601,plain,
% 25.57/17.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))),
% 25.57/17.34 inference(quant_inst,[status(thm)],[])).
% 25.57/17.34 tff(24602,plain,
% 25.57/17.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157))),
% 25.57/17.34 inference(modus_ponens,[status(thm)],[24601, 24600])).
% 25.57/17.34 tff(24603,plain,
% 25.57/17.34 (v26(constB157) | v112(constB157)),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24602, 1050, 24596])).
% 25.57/17.34 tff(24604,plain,
% 25.57/17.34 ($false),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24603, 24595, 24588])).
% 25.57/17.34 tff(24605,plain,(v108(constB157) | (~v113(constB157))), inference(lemma,lemma(discharge,[]))).
% 25.57/17.34 tff(24606,plain,
% 25.57/17.34 (v108(constB157)),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24605, 24580])).
% 25.57/17.34 tff(24607,plain,
% 25.57/17.34 (nextState(constB157, constB158) <=> nextState(constB157, constB158)),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24608,axiom,(nextState(constB157, constB158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_157_1')).
% 25.57/17.34 tff(24609,plain,
% 25.57/17.34 (nextState(constB157, constB158)),
% 25.57/17.34 inference(modus_ponens,[status(thm)],[24608, 24607])).
% 25.57/17.34 tff(24610,plain,
% 25.57/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24611,plain,
% 25.57/17.34 (((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158)) <=> ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24612,plain,
% 25.57/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157))))),
% 25.57/17.34 inference(monotonicity,[status(thm)],[24611])).
% 25.57/17.34 tff(24613,plain,
% 25.57/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 25.57/17.34 inference(transitivity,[status(thm)],[24612, 24610])).
% 25.57/17.34 tff(24614,plain,
% 25.57/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))),
% 25.57/17.34 inference(quant_inst,[status(thm)],[])).
% 25.57/17.34 tff(24615,plain,
% 25.57/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157))),
% 25.57/17.34 inference(modus_ponens,[status(thm)],[24614, 24613])).
% 25.57/17.34 tff(24616,plain,
% 25.57/17.34 (v110(constB158) | (~v108(constB157))),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24615, 1082, 24609])).
% 25.57/17.34 tff(24617,plain,
% 25.57/17.34 (v110(constB158)),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24616, 24606])).
% 25.57/17.34 tff(24618,plain,
% 25.57/17.34 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24619,plain,
% 25.57/17.34 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))),
% 25.57/17.34 inference(quant_inst,[status(thm)],[])).
% 25.57/17.34 tff(24620,plain,
% 25.57/17.34 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158))),
% 25.57/17.34 inference(modus_ponens,[status(thm)],[24619, 24618])).
% 25.57/17.34 tff(24621,plain,
% 25.57/17.34 (~v104(constB158)),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24620, 1100, 24609, 24451])).
% 25.57/17.34 tff(24622,plain,
% 25.57/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24623,plain,
% 25.57/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))),
% 25.57/17.34 inference(quant_inst,[status(thm)],[])).
% 25.57/17.34 tff(24624,plain,
% 25.57/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v102(constB158) | v104(constB158)),
% 25.57/17.34 inference(modus_ponens,[status(thm)],[24623, 24622])).
% 25.57/17.34 tff(24625,plain,
% 25.57/17.34 (v102(constB158) | v104(constB158)),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24624, 1114, 24609])).
% 25.57/17.34 tff(24626,plain,
% 25.57/17.34 (v102(constB158)),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24625, 24621])).
% 25.57/17.34 tff(24627,plain,
% 25.57/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24628,plain,
% 25.57/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))),
% 25.57/17.34 inference(quant_inst,[status(thm)],[])).
% 25.57/17.34 tff(24629,plain,
% 25.57/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158))),
% 25.57/17.34 inference(modus_ponens,[status(thm)],[24628, 24627])).
% 25.57/17.34 tff(24630,plain,
% 25.57/17.34 (v101(constB158) | (~v102(constB158))),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24629, 1129, 24609, 218])).
% 25.57/17.34 tff(24631,plain,
% 25.57/17.34 (v101(constB158)),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24630, 24626])).
% 25.57/17.34 tff(24632,plain,
% 25.57/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24633,plain,
% 25.57/17.34 (((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158)) <=> ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24634,plain,
% 25.57/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158))))),
% 25.57/17.34 inference(monotonicity,[status(thm)],[24633])).
% 25.57/17.34 tff(24635,plain,
% 25.57/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 25.57/17.34 inference(transitivity,[status(thm)],[24634, 24632])).
% 25.57/17.34 tff(24636,plain,
% 25.57/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))),
% 25.57/17.34 inference(quant_inst,[status(thm)],[])).
% 25.57/17.34 tff(24637,plain,
% 25.57/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 25.57/17.34 inference(modus_ponens,[status(thm)],[24636, 24635])).
% 25.57/17.34 tff(24638,plain,
% 25.57/17.34 (v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24637, 1144, 24609])).
% 25.57/17.34 tff(24639,plain,
% 25.57/17.34 (v100(constB158) | (~v110(constB158))),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24638, 24631])).
% 25.57/17.34 tff(24640,plain,
% 25.57/17.34 (v100(constB158)),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24639, 24617])).
% 25.57/17.34 tff(24641,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB157)) | (~v130(constB157, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB157)) | (~v130(constB157, bitIndex2)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24642,plain,
% 25.57/17.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB157)) | (~v130(constB157, bitIndex2)))),
% 25.57/17.34 inference(quant_inst,[status(thm)],[])).
% 25.57/17.34 tff(24643,plain,
% 25.57/17.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB157)) | (~v130(constB157, bitIndex2))),
% 25.57/17.34 inference(modus_ponens,[status(thm)],[24642, 24641])).
% 25.57/17.34 tff(24644,plain,
% 25.57/17.34 (~v130(constB157, bitIndex2)),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24643, 2231, 24544])).
% 25.57/17.34 tff(24645,assumption,(v26(constB157)), introduced(assumption)).
% 25.57/17.34 tff(24646,plain,
% 25.57/17.34 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB157))),
% 25.57/17.34 inference(quant_inst,[status(thm)],[])).
% 25.57/17.34 tff(24647,plain,
% 25.57/17.34 ($false),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24646, 797, 24645])).
% 25.57/17.34 tff(24648,plain,(~v26(constB157)), inference(lemma,lemma(discharge,[]))).
% 25.57/17.34 tff(24649,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24650,plain,
% 25.57/17.34 ((v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2))) <=> ((~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24651,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2)))),
% 25.57/17.34 inference(monotonicity,[status(thm)],[24650])).
% 25.57/17.34 tff(24652,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))),
% 25.57/17.34 inference(transitivity,[status(thm)],[24651, 24649])).
% 25.57/17.34 tff(24653,plain,
% 25.57/17.34 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2)))),
% 25.57/17.34 inference(quant_inst,[status(thm)],[])).
% 25.57/17.34 tff(24654,plain,
% 25.57/17.34 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2)),
% 25.57/17.34 inference(modus_ponens,[status(thm)],[24653, 24652])).
% 25.57/17.34 tff(24655,plain,
% 25.57/17.34 ((~v127(constB157, bitIndex2)) | v130(constB157, bitIndex2)),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24654, 1812, 24648])).
% 25.57/17.34 tff(24656,plain,
% 25.57/17.34 (~v127(constB157, bitIndex2)),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24655, 24644])).
% 25.57/17.34 tff(24657,plain,
% 25.57/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24658,plain,
% 25.57/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2)))),
% 25.57/17.34 inference(quant_inst,[status(thm)],[])).
% 25.57/17.34 tff(24659,plain,
% 25.57/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2))),
% 25.57/17.34 inference(modus_ponens,[status(thm)],[24658, 24657])).
% 25.57/17.34 tff(24660,plain,
% 25.57/17.34 (v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2))),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24659, 1830, 24609])).
% 25.57/17.34 tff(24661,plain,
% 25.57/17.34 (~v129(constB158, bitIndex2)),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24660, 24656])).
% 25.57/17.34 tff(24662,plain,
% 25.57/17.34 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24663,plain,
% 25.57/17.34 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))),
% 25.57/17.34 inference(quant_inst,[status(thm)],[])).
% 25.57/17.34 tff(24664,plain,
% 25.57/17.34 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158))),
% 25.57/17.34 inference(modus_ponens,[status(thm)],[24663, 24662])).
% 25.57/17.34 tff(24665,plain,
% 25.57/17.34 ((~v90(constB158, bitIndex2)) | (~v100(constB158))),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24664, 1845, 24661])).
% 25.57/17.34 tff(24666,plain,
% 25.57/17.34 (~v90(constB158, bitIndex2)),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24665, 24640])).
% 25.57/17.34 tff(24667,plain,
% 25.57/17.34 ((~v1(constB159)) <=> (~v1(constB159))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24668,axiom,(~v1(constB159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_159_1_1')).
% 25.57/17.34 tff(24669,plain,
% 25.57/17.34 (~v1(constB159)),
% 25.57/17.34 inference(modus_ponens,[status(thm)],[24668, 24667])).
% 25.57/17.34 tff(24670,plain,
% 25.57/17.34 (nextState(constB158, constB159) <=> nextState(constB158, constB159)),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24671,axiom,(nextState(constB158, constB159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_158_1')).
% 25.57/17.34 tff(24672,plain,
% 25.57/17.34 (nextState(constB158, constB159)),
% 25.57/17.34 inference(modus_ponens,[status(thm)],[24671, 24670])).
% 25.57/17.34 tff(24673,plain,
% 25.57/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24674,plain,
% 25.57/17.34 (((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159)) <=> (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24675,plain,
% 25.57/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159))))),
% 25.57/17.34 inference(monotonicity,[status(thm)],[24674])).
% 25.57/17.34 tff(24676,plain,
% 25.57/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 25.57/17.34 inference(transitivity,[status(thm)],[24675, 24673])).
% 25.57/17.34 tff(24677,plain,
% 25.57/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))),
% 25.57/17.34 inference(quant_inst,[status(thm)],[])).
% 25.57/17.34 tff(24678,plain,
% 25.57/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159))),
% 25.57/17.34 inference(modus_ponens,[status(thm)],[24677, 24676])).
% 25.57/17.34 tff(24679,plain,
% 25.57/17.34 (~v101(constB159)),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24678, 860, 24672, 24669])).
% 25.57/17.34 tff(24680,plain,
% 25.57/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24681,plain,
% 25.57/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))),
% 25.57/17.34 inference(quant_inst,[status(thm)],[])).
% 25.57/17.34 tff(24682,plain,
% 25.57/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159))),
% 25.57/17.34 inference(modus_ponens,[status(thm)],[24681, 24680])).
% 25.57/17.34 tff(24683,plain,
% 25.57/17.34 (v101(constB159) | (~v100(constB159))),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24682, 877, 24672])).
% 25.57/17.34 tff(24684,plain,
% 25.57/17.34 (~v100(constB159)),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24683, 24679])).
% 25.57/17.34 tff(24685,plain,
% 25.57/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24686,plain,
% 25.57/17.34 (((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2))) <=> (v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.34 tff(24687,plain,
% 25.57/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2))))),
% 25.57/17.34 inference(monotonicity,[status(thm)],[24686])).
% 25.57/17.34 tff(24688,plain,
% 25.57/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 25.57/17.34 inference(transitivity,[status(thm)],[24687, 24685])).
% 25.57/17.34 tff(24689,plain,
% 25.57/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 25.57/17.34 inference(quant_inst,[status(thm)],[])).
% 25.57/17.34 tff(24690,plain,
% 25.57/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2))),
% 25.57/17.34 inference(modus_ponens,[status(thm)],[24689, 24688])).
% 25.57/17.34 tff(24691,plain,
% 25.57/17.34 (v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2))),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24690, 892, 24672])).
% 25.57/17.34 tff(24692,plain,
% 25.57/17.34 (v90(constB158, bitIndex2) | (~v90(constB159, bitIndex2))),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24691, 24684])).
% 25.57/17.34 tff(24693,plain,
% 25.57/17.34 (~v90(constB159, bitIndex2)),
% 25.57/17.34 inference(unit_resolution,[status(thm)],[24692, 24666])).
% 25.57/17.34 tff(24694,plain,
% 25.57/17.34 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB157)) | v130(constB157, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB157)) | v130(constB157, bitIndex1))),
% 25.57/17.34 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24695,plain,
% 25.57/17.35 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB157)) | v130(constB157, bitIndex1))),
% 25.57/17.35 inference(quant_inst,[status(thm)],[])).
% 25.57/17.35 tff(24696,plain,
% 25.57/17.35 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB157)) | v130(constB157, bitIndex1)),
% 25.57/17.35 inference(modus_ponens,[status(thm)],[24695, 24694])).
% 25.57/17.35 tff(24697,plain,
% 25.57/17.35 (v130(constB157, bitIndex1)),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24696, 2034, 24544])).
% 25.57/17.35 tff(24698,plain,
% 25.57/17.35 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB157) | (~v130(constB157, bitIndex1)) | v127(constB157, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB157) | (~v130(constB157, bitIndex1)) | v127(constB157, bitIndex1))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24699,plain,
% 25.57/17.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB157) | (~v130(constB157, bitIndex1)) | v127(constB157, bitIndex1))),
% 25.57/17.35 inference(quant_inst,[status(thm)],[])).
% 25.57/17.35 tff(24700,plain,
% 25.57/17.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB157) | (~v130(constB157, bitIndex1)) | v127(constB157, bitIndex1)),
% 25.57/17.35 inference(modus_ponens,[status(thm)],[24699, 24698])).
% 25.57/17.35 tff(24701,plain,
% 25.57/17.35 ((~v130(constB157, bitIndex1)) | v127(constB157, bitIndex1)),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24700, 1553, 24648])).
% 25.57/17.35 tff(24702,plain,
% 25.57/17.35 (v127(constB157, bitIndex1)),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24701, 24697])).
% 25.57/17.35 tff(24703,plain,
% 25.57/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB157, constB158)) | (~v127(constB157, bitIndex1)) | v129(constB158, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB157, constB158)) | (~v127(constB157, bitIndex1)) | v129(constB158, bitIndex1))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24704,plain,
% 25.57/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB157, constB158)) | (~v127(constB157, bitIndex1)) | v129(constB158, bitIndex1))),
% 25.57/17.35 inference(quant_inst,[status(thm)],[])).
% 25.57/17.35 tff(24705,plain,
% 25.57/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB157, constB158)) | (~v127(constB157, bitIndex1)) | v129(constB158, bitIndex1)),
% 25.57/17.35 inference(modus_ponens,[status(thm)],[24704, 24703])).
% 25.57/17.35 tff(24706,plain,
% 25.57/17.35 ((~v127(constB157, bitIndex1)) | v129(constB158, bitIndex1)),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24705, 1568, 24609])).
% 25.57/17.35 tff(24707,plain,
% 25.57/17.35 (v129(constB158, bitIndex1)),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24706, 24702])).
% 25.57/17.35 tff(24708,plain,
% 25.57/17.35 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~v129(constB158, bitIndex1)) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB158, bitIndex1) | (~v129(constB158, bitIndex1)) | (~v100(constB158)))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24709,plain,
% 25.57/17.35 ((v90(constB158, bitIndex1) | (~v100(constB158)) | (~v129(constB158, bitIndex1))) <=> (v90(constB158, bitIndex1) | (~v129(constB158, bitIndex1)) | (~v100(constB158)))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24710,plain,
% 25.57/17.35 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~v100(constB158)) | (~v129(constB158, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~v129(constB158, bitIndex1)) | (~v100(constB158))))),
% 25.57/17.35 inference(monotonicity,[status(thm)],[24709])).
% 25.57/17.35 tff(24711,plain,
% 25.57/17.35 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~v100(constB158)) | (~v129(constB158, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB158, bitIndex1) | (~v129(constB158, bitIndex1)) | (~v100(constB158)))),
% 25.57/17.35 inference(transitivity,[status(thm)],[24710, 24708])).
% 25.57/17.35 tff(24712,plain,
% 25.57/17.35 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~v100(constB158)) | (~v129(constB158, bitIndex1)))),
% 25.57/17.35 inference(quant_inst,[status(thm)],[])).
% 25.57/17.35 tff(24713,plain,
% 25.57/17.35 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB158, bitIndex1) | (~v129(constB158, bitIndex1)) | (~v100(constB158))),
% 25.57/17.35 inference(modus_ponens,[status(thm)],[24712, 24711])).
% 25.57/17.35 tff(24714,plain,
% 25.57/17.35 (v90(constB158, bitIndex1) | (~v100(constB158))),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24713, 1583, 24707])).
% 25.57/17.35 tff(24715,plain,
% 25.57/17.35 (v90(constB158, bitIndex1)),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24714, 24640])).
% 25.57/17.35 tff(24716,plain,
% 25.57/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex1))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24717,plain,
% 25.57/17.35 (((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex1)) | v100(constB159) | v90(constB159, bitIndex1)) <=> ((~v90(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex1))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24718,plain,
% 25.57/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex1)) | v100(constB159) | v90(constB159, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex1)))),
% 25.57/17.35 inference(monotonicity,[status(thm)],[24717])).
% 25.57/17.35 tff(24719,plain,
% 25.57/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex1)) | v100(constB159) | v90(constB159, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex1))),
% 25.57/17.35 inference(transitivity,[status(thm)],[24718, 24716])).
% 25.57/17.35 tff(24720,plain,
% 25.57/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex1)) | v100(constB159) | v90(constB159, bitIndex1))),
% 25.57/17.35 inference(quant_inst,[status(thm)],[])).
% 25.57/17.35 tff(24721,plain,
% 25.57/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex1)),
% 25.57/17.35 inference(modus_ponens,[status(thm)],[24720, 24719])).
% 25.57/17.35 tff(24722,plain,
% 25.57/17.35 ((~v90(constB158, bitIndex1)) | v100(constB159) | v90(constB159, bitIndex1)),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24721, 1601, 24672])).
% 25.57/17.35 tff(24723,plain,
% 25.57/17.35 ((~v90(constB158, bitIndex1)) | v90(constB159, bitIndex1)),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24722, 24684])).
% 25.57/17.35 tff(24724,plain,
% 25.57/17.35 (v90(constB159, bitIndex1)),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24723, 24715])).
% 25.57/17.35 tff(24725,plain,
% 25.57/17.35 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB157)) | (~v130(constB157, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB157)) | (~v130(constB157, bitIndex0)))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24726,plain,
% 25.57/17.35 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB157)) | (~v130(constB157, bitIndex0)))),
% 25.57/17.35 inference(quant_inst,[status(thm)],[])).
% 25.57/17.35 tff(24727,plain,
% 25.57/17.35 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB157)) | (~v130(constB157, bitIndex0))),
% 25.57/17.35 inference(modus_ponens,[status(thm)],[24726, 24725])).
% 25.57/17.35 tff(24728,plain,
% 25.57/17.35 (~v130(constB157, bitIndex0)),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24727, 2023, 24544])).
% 25.57/17.35 tff(24729,plain,
% 25.57/17.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB157, bitIndex0)) | v26(constB157) | v130(constB157, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB157, bitIndex0)) | v26(constB157) | v130(constB157, bitIndex0))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24730,plain,
% 25.57/17.35 ((v26(constB157) | v130(constB157, bitIndex0) | (~v127(constB157, bitIndex0))) <=> ((~v127(constB157, bitIndex0)) | v26(constB157) | v130(constB157, bitIndex0))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24731,plain,
% 25.57/17.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB157) | v130(constB157, bitIndex0) | (~v127(constB157, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB157, bitIndex0)) | v26(constB157) | v130(constB157, bitIndex0)))),
% 25.57/17.35 inference(monotonicity,[status(thm)],[24730])).
% 25.57/17.35 tff(24732,plain,
% 25.57/17.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB157) | v130(constB157, bitIndex0) | (~v127(constB157, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB157, bitIndex0)) | v26(constB157) | v130(constB157, bitIndex0))),
% 25.57/17.35 inference(transitivity,[status(thm)],[24731, 24729])).
% 25.57/17.35 tff(24733,plain,
% 25.57/17.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB157) | v130(constB157, bitIndex0) | (~v127(constB157, bitIndex0)))),
% 25.57/17.35 inference(quant_inst,[status(thm)],[])).
% 25.57/17.35 tff(24734,plain,
% 25.57/17.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB157, bitIndex0)) | v26(constB157) | v130(constB157, bitIndex0)),
% 25.57/17.35 inference(modus_ponens,[status(thm)],[24733, 24732])).
% 25.57/17.35 tff(24735,plain,
% 25.57/17.35 ((~v127(constB157, bitIndex0)) | v130(constB157, bitIndex0)),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24734, 1341, 24648])).
% 25.57/17.35 tff(24736,plain,
% 25.57/17.35 (~v127(constB157, bitIndex0)),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24735, 24728])).
% 25.57/17.35 tff(24737,plain,
% 25.57/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex0) | (~v129(constB158, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex0) | (~v129(constB158, bitIndex0)))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24738,plain,
% 25.57/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex0) | (~v129(constB158, bitIndex0)))),
% 25.57/17.35 inference(quant_inst,[status(thm)],[])).
% 25.57/17.35 tff(24739,plain,
% 25.57/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex0) | (~v129(constB158, bitIndex0))),
% 25.57/17.35 inference(modus_ponens,[status(thm)],[24738, 24737])).
% 25.57/17.35 tff(24740,plain,
% 25.57/17.35 (v127(constB157, bitIndex0) | (~v129(constB158, bitIndex0))),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24739, 1359, 24609])).
% 25.57/17.35 tff(24741,plain,
% 25.57/17.35 (~v129(constB158, bitIndex0)),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24740, 24736])).
% 25.57/17.35 tff(24742,plain,
% 25.57/17.35 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158)))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24743,plain,
% 25.57/17.35 (((~v90(constB158, bitIndex0)) | (~v100(constB158)) | v129(constB158, bitIndex0)) <=> ((~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158)))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24744,plain,
% 25.57/17.35 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | (~v100(constB158)) | v129(constB158, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158))))),
% 25.57/17.35 inference(monotonicity,[status(thm)],[24743])).
% 25.57/17.35 tff(24745,plain,
% 25.57/17.35 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | (~v100(constB158)) | v129(constB158, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158)))),
% 25.57/17.35 inference(transitivity,[status(thm)],[24744, 24742])).
% 25.57/17.35 tff(24746,plain,
% 25.57/17.35 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | (~v100(constB158)) | v129(constB158, bitIndex0))),
% 25.57/17.35 inference(quant_inst,[status(thm)],[])).
% 25.57/17.35 tff(24747,plain,
% 25.57/17.35 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158))),
% 25.57/17.35 inference(modus_ponens,[status(thm)],[24746, 24745])).
% 25.57/17.35 tff(24748,plain,
% 25.57/17.35 ((~v90(constB158, bitIndex0)) | (~v100(constB158))),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24747, 1374, 24741])).
% 25.57/17.35 tff(24749,plain,
% 25.57/17.35 (~v90(constB158, bitIndex0)),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24748, 24640])).
% 25.57/17.35 tff(24750,plain,
% 25.57/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex0)))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24751,plain,
% 25.57/17.35 (((~nextState(constB158, constB159)) | v90(constB158, bitIndex0) | v100(constB159) | (~v90(constB159, bitIndex0))) <=> (v90(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex0)))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24752,plain,
% 25.57/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex0) | v100(constB159) | (~v90(constB159, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex0))))),
% 25.57/17.35 inference(monotonicity,[status(thm)],[24751])).
% 25.57/17.35 tff(24753,plain,
% 25.57/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex0) | v100(constB159) | (~v90(constB159, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex0)))),
% 25.57/17.35 inference(transitivity,[status(thm)],[24752, 24750])).
% 25.57/17.35 tff(24754,plain,
% 25.57/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex0) | v100(constB159) | (~v90(constB159, bitIndex0)))),
% 25.57/17.35 inference(quant_inst,[status(thm)],[])).
% 25.57/17.35 tff(24755,plain,
% 25.57/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex0))),
% 25.57/17.35 inference(modus_ponens,[status(thm)],[24754, 24753])).
% 25.57/17.35 tff(24756,plain,
% 25.57/17.35 (v90(constB158, bitIndex0) | v100(constB159) | (~v90(constB159, bitIndex0))),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24755, 934, 24672])).
% 25.57/17.35 tff(24757,plain,
% 25.57/17.35 (v90(constB158, bitIndex0) | (~v90(constB159, bitIndex0))),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24756, 24684])).
% 25.57/17.35 tff(24758,plain,
% 25.57/17.35 (~v90(constB159, bitIndex0)),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24757, 24749])).
% 25.57/17.35 tff(24759,plain,
% 25.57/17.35 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex2) | v121(constB159))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex2) | v121(constB159))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24760,plain,
% 25.57/17.35 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex2) | v121(constB159))),
% 25.57/17.35 inference(quant_inst,[status(thm)],[])).
% 25.57/17.35 tff(24761,plain,
% 25.57/17.35 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex2) | v121(constB159)),
% 25.57/17.35 inference(modus_ponens,[status(thm)],[24760, 24759])).
% 25.57/17.35 tff(24762,plain,
% 25.57/17.35 (v121(constB159)),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24761, 2145, 24758, 24724, 24693])).
% 25.57/17.35 tff(24763,plain,
% 25.57/17.35 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB159) | (~v121(constB159)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB159) | (~v121(constB159)))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24764,plain,
% 25.57/17.35 (((~v121(constB159)) | v117(constB159)) <=> (v117(constB159) | (~v121(constB159)))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24765,plain,
% 25.57/17.35 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB159)) | v117(constB159))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB159) | (~v121(constB159))))),
% 25.57/17.35 inference(monotonicity,[status(thm)],[24764])).
% 25.57/17.35 tff(24766,plain,
% 25.57/17.35 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB159)) | v117(constB159))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB159) | (~v121(constB159)))),
% 25.57/17.35 inference(transitivity,[status(thm)],[24765, 24763])).
% 25.57/17.35 tff(24767,plain,
% 25.57/17.35 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB159)) | v117(constB159))),
% 25.57/17.35 inference(quant_inst,[status(thm)],[])).
% 25.57/17.35 tff(24768,plain,
% 25.57/17.35 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB159) | (~v121(constB159))),
% 25.57/17.35 inference(modus_ponens,[status(thm)],[24767, 24766])).
% 25.57/17.35 tff(24769,plain,
% 25.57/17.35 (v117(constB159)),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24768, 2102, 24762])).
% 25.57/17.35 tff(24770,plain,
% 25.57/17.35 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB159) | (~v117(constB159)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB159) | (~v117(constB159)))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24771,plain,
% 25.57/17.35 (((~v117(constB159)) | v116(constB159)) <=> (v116(constB159) | (~v117(constB159)))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24772,plain,
% 25.57/17.35 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB159)) | v116(constB159))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB159) | (~v117(constB159))))),
% 25.57/17.35 inference(monotonicity,[status(thm)],[24771])).
% 25.57/17.35 tff(24773,plain,
% 25.57/17.35 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB159)) | v116(constB159))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB159) | (~v117(constB159)))),
% 25.57/17.35 inference(transitivity,[status(thm)],[24772, 24770])).
% 25.57/17.35 tff(24774,plain,
% 25.57/17.35 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB159)) | v116(constB159))),
% 25.57/17.35 inference(quant_inst,[status(thm)],[])).
% 25.57/17.35 tff(24775,plain,
% 25.57/17.35 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB159) | (~v117(constB159))),
% 25.57/17.35 inference(modus_ponens,[status(thm)],[24774, 24773])).
% 25.57/17.35 tff(24776,plain,
% 25.57/17.35 (v116(constB159)),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24775, 994, 24769])).
% 25.57/17.35 tff(24777,plain,
% 25.57/17.35 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB159) | (~v116(constB159)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB159) | (~v116(constB159)))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24778,plain,
% 25.57/17.35 (((~v116(constB159)) | v115(constB159)) <=> (v115(constB159) | (~v116(constB159)))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24779,plain,
% 25.57/17.35 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB159)) | v115(constB159))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB159) | (~v116(constB159))))),
% 25.57/17.35 inference(monotonicity,[status(thm)],[24778])).
% 25.57/17.35 tff(24780,plain,
% 25.57/17.35 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB159)) | v115(constB159))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB159) | (~v116(constB159)))),
% 25.57/17.35 inference(transitivity,[status(thm)],[24779, 24777])).
% 25.57/17.35 tff(24781,plain,
% 25.57/17.35 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB159)) | v115(constB159))),
% 25.57/17.35 inference(quant_inst,[status(thm)],[])).
% 25.57/17.35 tff(24782,plain,
% 25.57/17.35 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB159) | (~v116(constB159))),
% 25.57/17.35 inference(modus_ponens,[status(thm)],[24781, 24780])).
% 25.57/17.35 tff(24783,plain,
% 25.57/17.35 (v115(constB159)),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24782, 1008, 24776])).
% 25.57/17.35 tff(24784,plain,
% 25.57/17.35 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB159) | (~v115(constB159)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v115(constB159)))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24785,plain,
% 25.57/17.35 (((~v115(constB159)) | v114(constB159)) <=> (v114(constB159) | (~v115(constB159)))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24786,plain,
% 25.57/17.35 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB159)) | v114(constB159))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB159) | (~v115(constB159))))),
% 25.57/17.35 inference(monotonicity,[status(thm)],[24785])).
% 25.57/17.35 tff(24787,plain,
% 25.57/17.35 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB159)) | v114(constB159))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v115(constB159)))),
% 25.57/17.35 inference(transitivity,[status(thm)],[24786, 24784])).
% 25.57/17.35 tff(24788,plain,
% 25.57/17.35 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB159)) | v114(constB159))),
% 25.57/17.35 inference(quant_inst,[status(thm)],[])).
% 25.57/17.35 tff(24789,plain,
% 25.57/17.35 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v115(constB159))),
% 25.57/17.35 inference(modus_ponens,[status(thm)],[24788, 24787])).
% 25.57/17.35 tff(24790,plain,
% 25.57/17.35 (v114(constB159)),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24789, 1022, 24783])).
% 25.57/17.35 tff(24791,plain,
% 25.57/17.35 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB159)) | v113(constB159))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB159)) | v113(constB159))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24792,plain,
% 25.57/17.35 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB159)) | v113(constB159))),
% 25.57/17.35 inference(quant_inst,[status(thm)],[])).
% 25.57/17.35 tff(24793,plain,
% 25.57/17.35 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB159)) | v113(constB159)),
% 25.57/17.35 inference(modus_ponens,[status(thm)],[24792, 24791])).
% 25.57/17.35 tff(24794,plain,
% 25.57/17.35 (v113(constB159)),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24793, 1036, 24790])).
% 25.57/17.35 tff(24795,assumption,(v26(constB159)), introduced(assumption)).
% 25.57/17.35 tff(24796,plain,
% 25.57/17.35 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB159))),
% 25.57/17.35 inference(quant_inst,[status(thm)],[])).
% 25.57/17.35 tff(24797,plain,
% 25.57/17.35 ($false),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24796, 797, 24795])).
% 25.57/17.35 tff(24798,plain,(~v26(constB159)), inference(lemma,lemma(discharge,[]))).
% 25.57/17.35 tff(24799,plain,
% 25.57/17.35 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | (~v113(constB159)) | v112(constB159))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.57/17.35 tff(24800,plain,
% 25.57/17.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))),
% 25.57/17.35 inference(quant_inst,[status(thm)],[])).
% 25.57/17.35 tff(24801,plain,
% 25.57/17.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | (~v113(constB159)) | v112(constB159)),
% 25.57/17.35 inference(modus_ponens,[status(thm)],[24800, 24799])).
% 25.57/17.35 tff(24802,plain,
% 25.57/17.35 ((~v113(constB159)) | v112(constB159)),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24801, 1050, 24798])).
% 25.57/17.35 tff(24803,plain,
% 25.57/17.35 (v112(constB159)),
% 25.57/17.35 inference(unit_resolution,[status(thm)],[24802, 24794])).
% 25.57/17.35 tff(24804,plain,
% 25.57/17.35 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB159) | (~v112(constB159)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v112(constB159)))),
% 25.57/17.35 inference(rewrite,[status(thm)],[])).
% 25.64/17.35 tff(24805,plain,
% 25.64/17.35 (((~v112(constB159)) | v108(constB159)) <=> (v108(constB159) | (~v112(constB159)))),
% 25.64/17.35 inference(rewrite,[status(thm)],[])).
% 25.64/17.35 tff(24806,plain,
% 25.64/17.35 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB159)) | v108(constB159))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB159) | (~v112(constB159))))),
% 25.64/17.35 inference(monotonicity,[status(thm)],[24805])).
% 25.64/17.35 tff(24807,plain,
% 25.64/17.35 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB159)) | v108(constB159))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v112(constB159)))),
% 25.64/17.35 inference(transitivity,[status(thm)],[24806, 24804])).
% 25.64/17.35 tff(24808,plain,
% 25.64/17.35 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB159)) | v108(constB159))),
% 25.64/17.35 inference(quant_inst,[status(thm)],[])).
% 25.64/17.35 tff(24809,plain,
% 25.64/17.35 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v112(constB159))),
% 25.64/17.35 inference(modus_ponens,[status(thm)],[24808, 24807])).
% 25.64/17.35 tff(24810,plain,
% 25.64/17.35 (v108(constB159)),
% 25.64/17.35 inference(unit_resolution,[status(thm)],[24809, 1062, 24803])).
% 25.64/17.35 tff(24811,plain,
% 25.64/17.35 (nextState(constB159, constB160) <=> nextState(constB159, constB160)),
% 25.64/17.35 inference(rewrite,[status(thm)],[])).
% 25.64/17.35 tff(24812,axiom,(nextState(constB159, constB160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_159_1')).
% 25.64/17.35 tff(24813,plain,
% 25.64/17.35 (nextState(constB159, constB160)),
% 25.64/17.35 inference(modus_ponens,[status(thm)],[24812, 24811])).
% 25.64/17.35 tff(24814,plain,
% 25.64/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 25.64/17.35 inference(rewrite,[status(thm)],[])).
% 25.64/17.35 tff(24815,plain,
% 25.64/17.35 (((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160)) <=> ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 25.64/17.35 inference(rewrite,[status(thm)],[])).
% 25.64/17.35 tff(24816,plain,
% 25.64/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159))))),
% 25.64/17.35 inference(monotonicity,[status(thm)],[24815])).
% 25.64/17.35 tff(24817,plain,
% 25.64/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 25.64/17.35 inference(transitivity,[status(thm)],[24816, 24814])).
% 25.64/17.35 tff(24818,plain,
% 25.64/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))),
% 25.64/17.35 inference(quant_inst,[status(thm)],[])).
% 25.64/17.35 tff(24819,plain,
% 25.64/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159))),
% 25.64/17.35 inference(modus_ponens,[status(thm)],[24818, 24817])).
% 25.64/17.35 tff(24820,plain,
% 25.64/17.35 (v110(constB160) | (~v108(constB159))),
% 25.64/17.35 inference(unit_resolution,[status(thm)],[24819, 1082, 24813])).
% 25.64/17.35 tff(24821,plain,
% 25.64/17.35 (v110(constB160)),
% 25.64/17.35 inference(unit_resolution,[status(thm)],[24820, 24810])).
% 25.64/17.35 tff(24822,plain,
% 25.64/17.35 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24823,plain,
% 25.64/17.36 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))),
% 25.64/17.36 inference(quant_inst,[status(thm)],[])).
% 25.64/17.36 tff(24824,plain,
% 25.64/17.36 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160))),
% 25.64/17.36 inference(modus_ponens,[status(thm)],[24823, 24822])).
% 25.64/17.36 tff(24825,plain,
% 25.64/17.36 (~v104(constB160)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24824, 1100, 24813, 24669])).
% 25.64/17.36 tff(24826,plain,
% 25.64/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24827,plain,
% 25.64/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))),
% 25.64/17.36 inference(quant_inst,[status(thm)],[])).
% 25.64/17.36 tff(24828,plain,
% 25.64/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v102(constB160) | v104(constB160)),
% 25.64/17.36 inference(modus_ponens,[status(thm)],[24827, 24826])).
% 25.64/17.36 tff(24829,plain,
% 25.64/17.36 (v102(constB160) | v104(constB160)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24828, 1114, 24813])).
% 25.64/17.36 tff(24830,plain,
% 25.64/17.36 (v102(constB160)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24829, 24825])).
% 25.64/17.36 tff(24831,plain,
% 25.64/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24832,plain,
% 25.64/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))),
% 25.64/17.36 inference(quant_inst,[status(thm)],[])).
% 25.64/17.36 tff(24833,plain,
% 25.64/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160))),
% 25.64/17.36 inference(modus_ponens,[status(thm)],[24832, 24831])).
% 25.64/17.36 tff(24834,plain,
% 25.64/17.36 (v101(constB160) | (~v102(constB160))),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24833, 1129, 24813, 691])).
% 25.64/17.36 tff(24835,plain,
% 25.64/17.36 (v101(constB160)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24834, 24830])).
% 25.64/17.36 tff(24836,plain,
% 25.64/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24837,plain,
% 25.64/17.36 (((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160)) <=> ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24838,plain,
% 25.64/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160))))),
% 25.64/17.36 inference(monotonicity,[status(thm)],[24837])).
% 25.64/17.36 tff(24839,plain,
% 25.64/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 25.64/17.36 inference(transitivity,[status(thm)],[24838, 24836])).
% 25.64/17.36 tff(24840,plain,
% 25.64/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))),
% 25.64/17.36 inference(quant_inst,[status(thm)],[])).
% 25.64/17.36 tff(24841,plain,
% 25.64/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 25.64/17.36 inference(modus_ponens,[status(thm)],[24840, 24839])).
% 25.64/17.36 tff(24842,plain,
% 25.64/17.36 (v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24841, 1144, 24813])).
% 25.64/17.36 tff(24843,plain,
% 25.64/17.36 (v100(constB160) | (~v110(constB160))),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24842, 24835])).
% 25.64/17.36 tff(24844,plain,
% 25.64/17.36 (v100(constB160)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24843, 24821])).
% 25.64/17.36 tff(24845,plain,
% 25.64/17.36 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB159)) | (~v130(constB159, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB159)) | (~v130(constB159, bitIndex2)))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24846,plain,
% 25.64/17.36 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB159)) | (~v130(constB159, bitIndex2)))),
% 25.64/17.36 inference(quant_inst,[status(thm)],[])).
% 25.64/17.36 tff(24847,plain,
% 25.64/17.36 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB159)) | (~v130(constB159, bitIndex2))),
% 25.64/17.36 inference(modus_ponens,[status(thm)],[24846, 24845])).
% 25.64/17.36 tff(24848,plain,
% 25.64/17.36 (~v130(constB159, bitIndex2)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24847, 2406, 24762])).
% 25.64/17.36 tff(24849,plain,
% 25.64/17.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24850,plain,
% 25.64/17.36 ((v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2))) <=> ((~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24851,plain,
% 25.64/17.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2)))),
% 25.64/17.36 inference(monotonicity,[status(thm)],[24850])).
% 25.64/17.36 tff(24852,plain,
% 25.64/17.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))),
% 25.64/17.36 inference(transitivity,[status(thm)],[24851, 24849])).
% 25.64/17.36 tff(24853,plain,
% 25.64/17.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2)))),
% 25.64/17.36 inference(quant_inst,[status(thm)],[])).
% 25.64/17.36 tff(24854,plain,
% 25.64/17.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2)),
% 25.64/17.36 inference(modus_ponens,[status(thm)],[24853, 24852])).
% 25.64/17.36 tff(24855,plain,
% 25.64/17.36 ((~v127(constB159, bitIndex2)) | v130(constB159, bitIndex2)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24854, 1812, 24798])).
% 25.64/17.36 tff(24856,plain,
% 25.64/17.36 (~v127(constB159, bitIndex2)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24855, 24848])).
% 25.64/17.36 tff(24857,plain,
% 25.64/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2)))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24858,plain,
% 25.64/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2)))),
% 25.64/17.36 inference(quant_inst,[status(thm)],[])).
% 25.64/17.36 tff(24859,plain,
% 25.64/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2))),
% 25.64/17.36 inference(modus_ponens,[status(thm)],[24858, 24857])).
% 25.64/17.36 tff(24860,plain,
% 25.64/17.36 (v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2))),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24859, 1830, 24813])).
% 25.64/17.36 tff(24861,plain,
% 25.64/17.36 (~v129(constB160, bitIndex2)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24860, 24856])).
% 25.64/17.36 tff(24862,plain,
% 25.64/17.36 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24863,plain,
% 25.64/17.36 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))),
% 25.64/17.36 inference(quant_inst,[status(thm)],[])).
% 25.64/17.36 tff(24864,plain,
% 25.64/17.36 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160))),
% 25.64/17.36 inference(modus_ponens,[status(thm)],[24863, 24862])).
% 25.64/17.36 tff(24865,plain,
% 25.64/17.36 ((~v90(constB160, bitIndex2)) | (~v100(constB160))),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24864, 1845, 24861])).
% 25.64/17.36 tff(24866,plain,
% 25.64/17.36 (~v90(constB160, bitIndex2)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24865, 24844])).
% 25.64/17.36 tff(24867,plain,
% 25.64/17.36 ((~v1(constB161)) <=> (~v1(constB161))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24868,axiom,(~v1(constB161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_161_1_1')).
% 25.64/17.36 tff(24869,plain,
% 25.64/17.36 (~v1(constB161)),
% 25.64/17.36 inference(modus_ponens,[status(thm)],[24868, 24867])).
% 25.64/17.36 tff(24870,plain,
% 25.64/17.36 (nextState(constB160, constB161) <=> nextState(constB160, constB161)),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24871,axiom,(nextState(constB160, constB161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_160_1')).
% 25.64/17.36 tff(24872,plain,
% 25.64/17.36 (nextState(constB160, constB161)),
% 25.64/17.36 inference(modus_ponens,[status(thm)],[24871, 24870])).
% 25.64/17.36 tff(24873,plain,
% 25.64/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24874,plain,
% 25.64/17.36 (((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161)) <=> (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24875,plain,
% 25.64/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161))))),
% 25.64/17.36 inference(monotonicity,[status(thm)],[24874])).
% 25.64/17.36 tff(24876,plain,
% 25.64/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 25.64/17.36 inference(transitivity,[status(thm)],[24875, 24873])).
% 25.64/17.36 tff(24877,plain,
% 25.64/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))),
% 25.64/17.36 inference(quant_inst,[status(thm)],[])).
% 25.64/17.36 tff(24878,plain,
% 25.64/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161))),
% 25.64/17.36 inference(modus_ponens,[status(thm)],[24877, 24876])).
% 25.64/17.36 tff(24879,plain,
% 25.64/17.36 (~v101(constB161)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24878, 860, 24872, 24869])).
% 25.64/17.36 tff(24880,plain,
% 25.64/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24881,plain,
% 25.64/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))),
% 25.64/17.36 inference(quant_inst,[status(thm)],[])).
% 25.64/17.36 tff(24882,plain,
% 25.64/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161))),
% 25.64/17.36 inference(modus_ponens,[status(thm)],[24881, 24880])).
% 25.64/17.36 tff(24883,plain,
% 25.64/17.36 (v101(constB161) | (~v100(constB161))),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24882, 877, 24872])).
% 25.64/17.36 tff(24884,plain,
% 25.64/17.36 (~v100(constB161)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24883, 24879])).
% 25.64/17.36 tff(24885,plain,
% 25.64/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24886,plain,
% 25.64/17.36 (((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2))) <=> (v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24887,plain,
% 25.64/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2))))),
% 25.64/17.36 inference(monotonicity,[status(thm)],[24886])).
% 25.64/17.36 tff(24888,plain,
% 25.64/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 25.64/17.36 inference(transitivity,[status(thm)],[24887, 24885])).
% 25.64/17.36 tff(24889,plain,
% 25.64/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 25.64/17.36 inference(quant_inst,[status(thm)],[])).
% 25.64/17.36 tff(24890,plain,
% 25.64/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2))),
% 25.64/17.36 inference(modus_ponens,[status(thm)],[24889, 24888])).
% 25.64/17.36 tff(24891,plain,
% 25.64/17.36 (v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2))),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24890, 892, 24872])).
% 25.64/17.36 tff(24892,plain,
% 25.64/17.36 (v90(constB160, bitIndex2) | (~v90(constB161, bitIndex2))),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24891, 24884])).
% 25.64/17.36 tff(24893,plain,
% 25.64/17.36 (~v90(constB161, bitIndex2)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24892, 24866])).
% 25.64/17.36 tff(24894,plain,
% 25.64/17.36 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB159)) | v130(constB159, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB159)) | v130(constB159, bitIndex1))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24895,plain,
% 25.64/17.36 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB159)) | v130(constB159, bitIndex1))),
% 25.64/17.36 inference(quant_inst,[status(thm)],[])).
% 25.64/17.36 tff(24896,plain,
% 25.64/17.36 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB159)) | v130(constB159, bitIndex1)),
% 25.64/17.36 inference(modus_ponens,[status(thm)],[24895, 24894])).
% 25.64/17.36 tff(24897,plain,
% 25.64/17.36 (v130(constB159, bitIndex1)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24896, 2562, 24762])).
% 25.64/17.36 tff(24898,plain,
% 25.64/17.36 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24899,plain,
% 25.64/17.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1))),
% 25.64/17.36 inference(quant_inst,[status(thm)],[])).
% 25.64/17.36 tff(24900,plain,
% 25.64/17.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1)),
% 25.64/17.36 inference(modus_ponens,[status(thm)],[24899, 24898])).
% 25.64/17.36 tff(24901,plain,
% 25.64/17.36 ((~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24900, 1553, 24798])).
% 25.64/17.36 tff(24902,plain,
% 25.64/17.36 (v127(constB159, bitIndex1)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24901, 24897])).
% 25.64/17.36 tff(24903,plain,
% 25.64/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24904,plain,
% 25.64/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1))),
% 25.64/17.36 inference(quant_inst,[status(thm)],[])).
% 25.64/17.36 tff(24905,plain,
% 25.64/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1)),
% 25.64/17.36 inference(modus_ponens,[status(thm)],[24904, 24903])).
% 25.64/17.36 tff(24906,plain,
% 25.64/17.36 ((~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24905, 1568, 24813])).
% 25.64/17.36 tff(24907,plain,
% 25.64/17.36 (v129(constB160, bitIndex1)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24906, 24902])).
% 25.64/17.36 tff(24908,plain,
% 25.64/17.36 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24909,plain,
% 25.64/17.36 ((v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1))) <=> (v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24910,plain,
% 25.64/17.36 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160))))),
% 25.64/17.36 inference(monotonicity,[status(thm)],[24909])).
% 25.64/17.36 tff(24911,plain,
% 25.64/17.36 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))),
% 25.64/17.36 inference(transitivity,[status(thm)],[24910, 24908])).
% 25.64/17.36 tff(24912,plain,
% 25.64/17.36 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1)))),
% 25.64/17.36 inference(quant_inst,[status(thm)],[])).
% 25.64/17.36 tff(24913,plain,
% 25.64/17.36 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160))),
% 25.64/17.36 inference(modus_ponens,[status(thm)],[24912, 24911])).
% 25.64/17.36 tff(24914,plain,
% 25.64/17.36 (v90(constB160, bitIndex1) | (~v100(constB160))),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24913, 1583, 24907])).
% 25.64/17.36 tff(24915,plain,
% 25.64/17.36 (v90(constB160, bitIndex1)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24914, 24844])).
% 25.64/17.36 tff(24916,plain,
% 25.64/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24917,plain,
% 25.64/17.36 (((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1)) <=> ((~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24918,plain,
% 25.64/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1)))),
% 25.64/17.36 inference(monotonicity,[status(thm)],[24917])).
% 25.64/17.36 tff(24919,plain,
% 25.64/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))),
% 25.64/17.36 inference(transitivity,[status(thm)],[24918, 24916])).
% 25.64/17.36 tff(24920,plain,
% 25.64/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1))),
% 25.64/17.36 inference(quant_inst,[status(thm)],[])).
% 25.64/17.36 tff(24921,plain,
% 25.64/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1)),
% 25.64/17.36 inference(modus_ponens,[status(thm)],[24920, 24919])).
% 25.64/17.36 tff(24922,plain,
% 25.64/17.36 ((~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24921, 1601, 24872])).
% 25.64/17.36 tff(24923,plain,
% 25.64/17.36 ((~v90(constB160, bitIndex1)) | v90(constB161, bitIndex1)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24922, 24884])).
% 25.64/17.36 tff(24924,plain,
% 25.64/17.36 (v90(constB161, bitIndex1)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24923, 24915])).
% 25.64/17.36 tff(24925,plain,
% 25.64/17.36 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB159)) | v130(constB159, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB159)) | v130(constB159, bitIndex0))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24926,plain,
% 25.64/17.36 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB159)) | v130(constB159, bitIndex0))),
% 25.64/17.36 inference(quant_inst,[status(thm)],[])).
% 25.64/17.36 tff(24927,plain,
% 25.64/17.36 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB159)) | v130(constB159, bitIndex0)),
% 25.64/17.36 inference(modus_ponens,[status(thm)],[24926, 24925])).
% 25.64/17.36 tff(24928,plain,
% 25.64/17.36 (v130(constB159, bitIndex0)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24927, 2600, 24762])).
% 25.64/17.36 tff(24929,plain,
% 25.64/17.36 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB159) | (~v130(constB159, bitIndex0)) | v127(constB159, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB159) | (~v130(constB159, bitIndex0)) | v127(constB159, bitIndex0))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24930,plain,
% 25.64/17.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB159) | (~v130(constB159, bitIndex0)) | v127(constB159, bitIndex0))),
% 25.64/17.36 inference(quant_inst,[status(thm)],[])).
% 25.64/17.36 tff(24931,plain,
% 25.64/17.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB159) | (~v130(constB159, bitIndex0)) | v127(constB159, bitIndex0)),
% 25.64/17.36 inference(modus_ponens,[status(thm)],[24930, 24929])).
% 25.64/17.36 tff(24932,plain,
% 25.64/17.36 ((~v130(constB159, bitIndex0)) | v127(constB159, bitIndex0)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24931, 1945, 24798])).
% 25.64/17.36 tff(24933,plain,
% 25.64/17.36 (v127(constB159, bitIndex0)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24932, 24928])).
% 25.64/17.36 tff(24934,plain,
% 25.64/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB159, constB160)) | (~v127(constB159, bitIndex0)) | v129(constB160, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB159, constB160)) | (~v127(constB159, bitIndex0)) | v129(constB160, bitIndex0))),
% 25.64/17.36 inference(rewrite,[status(thm)],[])).
% 25.64/17.36 tff(24935,plain,
% 25.64/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB159, constB160)) | (~v127(constB159, bitIndex0)) | v129(constB160, bitIndex0))),
% 25.64/17.36 inference(quant_inst,[status(thm)],[])).
% 25.64/17.36 tff(24936,plain,
% 25.64/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB159, constB160)) | (~v127(constB159, bitIndex0)) | v129(constB160, bitIndex0)),
% 25.64/17.36 inference(modus_ponens,[status(thm)],[24935, 24934])).
% 25.64/17.36 tff(24937,plain,
% 25.64/17.36 ((~v127(constB159, bitIndex0)) | v129(constB160, bitIndex0)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24936, 1960, 24813])).
% 25.64/17.36 tff(24938,plain,
% 25.64/17.36 (v129(constB160, bitIndex0)),
% 25.64/17.36 inference(unit_resolution,[status(thm)],[24937, 24933])).
% 25.64/17.36 tff(24939,plain,
% 25.64/17.36 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~v129(constB160, bitIndex0)) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB160, bitIndex0) | (~v129(constB160, bitIndex0)) | (~v100(constB160)))),
% 25.64/17.37 inference(rewrite,[status(thm)],[])).
% 25.64/17.37 tff(24940,plain,
% 25.64/17.37 ((v90(constB160, bitIndex0) | (~v100(constB160)) | (~v129(constB160, bitIndex0))) <=> (v90(constB160, bitIndex0) | (~v129(constB160, bitIndex0)) | (~v100(constB160)))),
% 25.64/17.37 inference(rewrite,[status(thm)],[])).
% 25.64/17.37 tff(24941,plain,
% 25.64/17.37 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~v100(constB160)) | (~v129(constB160, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~v129(constB160, bitIndex0)) | (~v100(constB160))))),
% 25.64/17.37 inference(monotonicity,[status(thm)],[24940])).
% 25.64/17.37 tff(24942,plain,
% 25.64/17.37 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~v100(constB160)) | (~v129(constB160, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB160, bitIndex0) | (~v129(constB160, bitIndex0)) | (~v100(constB160)))),
% 25.64/17.37 inference(transitivity,[status(thm)],[24941, 24939])).
% 25.64/17.37 tff(24943,plain,
% 25.64/17.37 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~v100(constB160)) | (~v129(constB160, bitIndex0)))),
% 25.64/17.37 inference(quant_inst,[status(thm)],[])).
% 25.64/17.37 tff(24944,plain,
% 25.64/17.37 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB160, bitIndex0) | (~v129(constB160, bitIndex0)) | (~v100(constB160))),
% 25.64/17.37 inference(modus_ponens,[status(thm)],[24943, 24942])).
% 25.64/17.37 tff(24945,plain,
% 25.64/17.37 (v90(constB160, bitIndex0) | (~v100(constB160))),
% 25.64/17.37 inference(unit_resolution,[status(thm)],[24944, 1975, 24938])).
% 25.64/17.37 tff(24946,plain,
% 25.64/17.37 (v90(constB160, bitIndex0)),
% 25.64/17.37 inference(unit_resolution,[status(thm)],[24945, 24844])).
% 25.64/17.37 tff(24947,plain,
% 25.64/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex0))),
% 25.64/17.37 inference(rewrite,[status(thm)],[])).
% 25.64/17.37 tff(24948,plain,
% 25.64/17.37 (((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex0)) | v100(constB161) | v90(constB161, bitIndex0)) <=> ((~v90(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex0))),
% 25.64/17.37 inference(rewrite,[status(thm)],[])).
% 25.64/17.37 tff(24949,plain,
% 25.64/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex0)) | v100(constB161) | v90(constB161, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex0)))),
% 25.64/17.37 inference(monotonicity,[status(thm)],[24948])).
% 25.64/17.37 tff(24950,plain,
% 25.64/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex0)) | v100(constB161) | v90(constB161, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex0))),
% 25.64/17.37 inference(transitivity,[status(thm)],[24949, 24947])).
% 25.64/17.37 tff(24951,plain,
% 25.64/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex0)) | v100(constB161) | v90(constB161, bitIndex0))),
% 25.64/17.37 inference(quant_inst,[status(thm)],[])).
% 25.64/17.37 tff(24952,plain,
% 25.64/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex0)),
% 25.64/17.37 inference(modus_ponens,[status(thm)],[24951, 24950])).
% 25.64/17.37 tff(24953,plain,
% 25.64/17.37 ((~v90(constB160, bitIndex0)) | v100(constB161) | v90(constB161, bitIndex0)),
% 25.64/17.37 inference(unit_resolution,[status(thm)],[24952, 1993, 24872])).
% 25.64/17.37 tff(24954,plain,
% 25.64/17.37 ((~v90(constB160, bitIndex0)) | v90(constB161, bitIndex0)),
% 25.64/17.37 inference(unit_resolution,[status(thm)],[24953, 24884])).
% 25.64/17.37 tff(24955,plain,
% 25.64/17.37 (v90(constB161, bitIndex0)),
% 25.64/17.37 inference(unit_resolution,[status(thm)],[24954, 24946])).
% 25.64/17.37 tff(24956,plain,
% 25.64/17.37 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v122(constB161))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v122(constB161))),
% 25.64/17.37 inference(rewrite,[status(thm)],[])).
% 25.64/17.37 tff(24957,plain,
% 25.64/17.37 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v122(constB161))),
% 25.64/17.37 inference(quant_inst,[status(thm)],[])).
% 25.64/17.37 tff(24958,plain,
% 25.64/17.37 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v122(constB161)),
% 25.64/17.37 inference(modus_ponens,[status(thm)],[24957, 24956])).
% 25.64/17.37 tff(24959,plain,
% 25.64/17.37 (v122(constB161)),
% 25.64/17.37 inference(unit_resolution,[status(thm)],[24958, 2641, 24955, 24924, 24893])).
% 25.64/17.37 tff(24960,plain,
% 25.64/17.37 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB161)) | v116(constB161))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB161)) | v116(constB161))),
% 25.64/17.37 inference(rewrite,[status(thm)],[])).
% 25.64/17.37 tff(24961,plain,
% 25.64/17.37 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB161)) | v116(constB161))),
% 25.64/17.37 inference(quant_inst,[status(thm)],[])).
% 25.64/17.37 tff(24962,plain,
% 25.64/17.37 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB161)) | v116(constB161)),
% 25.64/17.37 inference(modus_ponens,[status(thm)],[24961, 24960])).
% 25.64/17.37 tff(24963,plain,
% 25.64/17.37 (v116(constB161)),
% 25.64/17.37 inference(unit_resolution,[status(thm)],[24962, 2652, 24959])).
% 25.64/17.37 tff(24964,plain,
% 25.64/17.37 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB161)) | v115(constB161))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB161)) | v115(constB161))),
% 25.64/17.37 inference(rewrite,[status(thm)],[])).
% 25.64/17.37 tff(24965,plain,
% 25.64/17.37 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB161)) | v115(constB161))),
% 25.64/17.37 inference(quant_inst,[status(thm)],[])).
% 25.64/17.37 tff(24966,plain,
% 25.64/17.37 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB161)) | v115(constB161)),
% 25.64/17.37 inference(modus_ponens,[status(thm)],[24965, 24964])).
% 25.64/17.37 tff(24967,plain,
% 25.64/17.37 (v115(constB161)),
% 25.64/17.37 inference(unit_resolution,[status(thm)],[24966, 1008, 24963])).
% 25.64/17.37 tff(24968,plain,
% 25.64/17.37 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB161) | (~v115(constB161)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB161) | (~v115(constB161)))),
% 25.64/17.37 inference(rewrite,[status(thm)],[])).
% 25.64/17.37 tff(24969,plain,
% 25.64/17.37 (((~v115(constB161)) | v114(constB161)) <=> (v114(constB161) | (~v115(constB161)))),
% 25.64/17.37 inference(rewrite,[status(thm)],[])).
% 25.64/17.37 tff(24970,plain,
% 25.64/17.37 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB161)) | v114(constB161))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB161) | (~v115(constB161))))),
% 25.64/17.37 inference(monotonicity,[status(thm)],[24969])).
% 25.64/17.37 tff(24971,plain,
% 25.64/17.37 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB161)) | v114(constB161))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB161) | (~v115(constB161)))),
% 25.64/17.37 inference(transitivity,[status(thm)],[24970, 24968])).
% 25.64/17.37 tff(24972,plain,
% 25.64/17.37 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB161)) | v114(constB161))),
% 25.64/17.37 inference(quant_inst,[status(thm)],[])).
% 25.64/17.37 tff(24973,plain,
% 25.64/17.37 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB161) | (~v115(constB161))),
% 25.64/17.37 inference(modus_ponens,[status(thm)],[24972, 24971])).
% 25.64/17.37 tff(24974,plain,
% 25.64/17.37 (v114(constB161)),
% 25.64/17.37 inference(unit_resolution,[status(thm)],[24973, 1022, 24967])).
% 25.64/17.37 tff(24975,plain,
% 25.64/17.37 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB161) | (~v114(constB161)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB161) | (~v114(constB161)))),
% 25.64/17.37 inference(rewrite,[status(thm)],[])).
% 25.64/17.37 tff(24976,plain,
% 25.64/17.37 (((~v114(constB161)) | v113(constB161)) <=> (v113(constB161) | (~v114(constB161)))),
% 25.64/17.37 inference(rewrite,[status(thm)],[])).
% 25.64/17.37 tff(24977,plain,
% 25.64/17.37 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB161)) | v113(constB161))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB161) | (~v114(constB161))))),
% 25.64/17.37 inference(monotonicity,[status(thm)],[24976])).
% 25.64/17.37 tff(24978,plain,
% 25.64/17.37 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB161)) | v113(constB161))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB161) | (~v114(constB161)))),
% 25.64/17.37 inference(transitivity,[status(thm)],[24977, 24975])).
% 25.64/17.37 tff(24979,plain,
% 25.64/17.37 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB161)) | v113(constB161))),
% 25.64/17.37 inference(quant_inst,[status(thm)],[])).
% 25.64/17.37 tff(24980,plain,
% 25.64/17.37 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB161) | (~v114(constB161))),
% 25.64/17.37 inference(modus_ponens,[status(thm)],[24979, 24978])).
% 25.64/17.37 tff(24981,plain,
% 25.64/17.37 (v113(constB161)),
% 25.64/17.37 inference(unit_resolution,[status(thm)],[24980, 1036, 24974])).
% 25.64/17.37 tff(24982,assumption,(v26(constB161)), introduced(assumption)).
% 25.64/17.37 tff(24983,plain,
% 25.64/17.37 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB161))),
% 25.64/17.37 inference(quant_inst,[status(thm)],[])).
% 25.64/17.37 tff(24984,plain,
% 25.64/17.37 ($false),
% 25.64/17.37 inference(unit_resolution,[status(thm)],[24983, 797, 24982])).
% 25.64/17.37 tff(24985,plain,(~v26(constB161)), inference(lemma,lemma(discharge,[]))).
% 25.64/17.37 tff(24986,plain,
% 25.64/17.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | v112(constB161) | (~v113(constB161)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | v112(constB161) | (~v113(constB161)))),
% 25.64/17.37 inference(rewrite,[status(thm)],[])).
% 25.64/17.37 tff(24987,plain,
% 25.64/17.37 ((v26(constB161) | (~v113(constB161)) | v112(constB161)) <=> (v26(constB161) | v112(constB161) | (~v113(constB161)))),
% 25.64/17.37 inference(rewrite,[status(thm)],[])).
% 25.64/17.37 tff(24988,plain,
% 25.64/17.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | v112(constB161) | (~v113(constB161))))),
% 25.64/17.37 inference(monotonicity,[status(thm)],[24987])).
% 25.64/17.37 tff(24989,plain,
% 25.64/17.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | v112(constB161) | (~v113(constB161)))),
% 25.64/17.37 inference(transitivity,[status(thm)],[24988, 24986])).
% 25.64/17.37 tff(24990,plain,
% 25.64/17.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))),
% 25.64/17.37 inference(quant_inst,[status(thm)],[])).
% 25.64/17.37 tff(24991,plain,
% 25.64/17.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | v112(constB161) | (~v113(constB161))),
% 25.64/17.37 inference(modus_ponens,[status(thm)],[24990, 24989])).
% 25.64/17.37 tff(24992,plain,
% 25.64/17.37 (v112(constB161) | (~v113(constB161))),
% 25.64/17.37 inference(unit_resolution,[status(thm)],[24991, 1050, 24985])).
% 25.64/17.37 tff(24993,plain,
% 25.64/17.37 (v112(constB161)),
% 25.64/17.37 inference(unit_resolution,[status(thm)],[24992, 24981])).
% 25.64/17.37 tff(24994,plain,
% 25.64/17.37 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB161) | (~v112(constB161)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB161) | (~v112(constB161)))),
% 25.64/17.37 inference(rewrite,[status(thm)],[])).
% 25.64/17.37 tff(24995,plain,
% 25.64/17.37 (((~v112(constB161)) | v108(constB161)) <=> (v108(constB161) | (~v112(constB161)))),
% 25.64/17.37 inference(rewrite,[status(thm)],[])).
% 25.64/17.37 tff(24996,plain,
% 25.64/17.37 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB161)) | v108(constB161))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB161) | (~v112(constB161))))),
% 25.64/17.37 inference(monotonicity,[status(thm)],[24995])).
% 25.64/17.37 tff(24997,plain,
% 25.64/17.37 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB161)) | v108(constB161))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB161) | (~v112(constB161)))),
% 25.64/17.37 inference(transitivity,[status(thm)],[24996, 24994])).
% 25.64/17.37 tff(24998,plain,
% 25.64/17.37 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB161)) | v108(constB161))),
% 25.64/17.37 inference(quant_inst,[status(thm)],[])).
% 25.64/17.37 tff(24999,plain,
% 25.64/17.37 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB161) | (~v112(constB161))),
% 25.64/17.37 inference(modus_ponens,[status(thm)],[24998, 24997])).
% 25.64/17.37 tff(25000,plain,
% 25.64/17.37 (v108(constB161)),
% 25.64/17.37 inference(unit_resolution,[status(thm)],[24999, 1062, 24993])).
% 25.64/17.37 tff(25001,plain,
% 25.64/17.37 (nextState(constB161, constB162) <=> nextState(constB161, constB162)),
% 25.64/17.37 inference(rewrite,[status(thm)],[])).
% 25.64/17.37 tff(25002,axiom,(nextState(constB161, constB162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_161_1')).
% 25.64/17.37 tff(25003,plain,
% 25.64/17.37 (nextState(constB161, constB162)),
% 25.64/17.37 inference(modus_ponens,[status(thm)],[25002, 25001])).
% 25.64/17.37 tff(25004,plain,
% 25.64/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 25.64/17.37 inference(rewrite,[status(thm)],[])).
% 25.64/17.37 tff(25005,plain,
% 25.64/17.37 (((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162)) <=> ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 25.64/17.37 inference(rewrite,[status(thm)],[])).
% 25.64/17.37 tff(25006,plain,
% 25.64/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161))))),
% 25.64/17.37 inference(monotonicity,[status(thm)],[25005])).
% 25.64/17.37 tff(25007,plain,
% 25.64/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 25.66/17.37 inference(transitivity,[status(thm)],[25006, 25004])).
% 25.66/17.37 tff(25008,plain,
% 25.66/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))),
% 25.66/17.37 inference(quant_inst,[status(thm)],[])).
% 25.66/17.37 tff(25009,plain,
% 25.66/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161))),
% 25.66/17.37 inference(modus_ponens,[status(thm)],[25008, 25007])).
% 25.66/17.37 tff(25010,plain,
% 25.66/17.37 (v110(constB162) | (~v108(constB161))),
% 25.66/17.37 inference(unit_resolution,[status(thm)],[25009, 1082, 25003])).
% 25.66/17.37 tff(25011,plain,
% 25.66/17.37 (v110(constB162)),
% 25.66/17.37 inference(unit_resolution,[status(thm)],[25010, 25000])).
% 25.66/17.37 tff(25012,plain,
% 25.66/17.37 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))),
% 25.66/17.37 inference(rewrite,[status(thm)],[])).
% 25.66/17.37 tff(25013,plain,
% 25.66/17.37 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))),
% 25.66/17.37 inference(quant_inst,[status(thm)],[])).
% 25.66/17.37 tff(25014,plain,
% 25.66/17.37 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162))),
% 25.66/17.37 inference(modus_ponens,[status(thm)],[25013, 25012])).
% 25.66/17.37 tff(25015,plain,
% 25.66/17.37 (~v104(constB162)),
% 25.66/17.37 inference(unit_resolution,[status(thm)],[25014, 1100, 25003, 24869])).
% 25.66/17.37 tff(25016,plain,
% 25.66/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))),
% 25.66/17.37 inference(rewrite,[status(thm)],[])).
% 25.66/17.37 tff(25017,plain,
% 25.66/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))),
% 25.66/17.37 inference(quant_inst,[status(thm)],[])).
% 25.66/17.37 tff(25018,plain,
% 25.66/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v102(constB162) | v104(constB162)),
% 25.66/17.37 inference(modus_ponens,[status(thm)],[25017, 25016])).
% 25.66/17.37 tff(25019,plain,
% 25.66/17.37 (v102(constB162) | v104(constB162)),
% 25.66/17.37 inference(unit_resolution,[status(thm)],[25018, 1114, 25003])).
% 25.66/17.37 tff(25020,plain,
% 25.66/17.37 (v102(constB162)),
% 25.66/17.37 inference(unit_resolution,[status(thm)],[25019, 25015])).
% 25.66/17.37 tff(25021,plain,
% 25.66/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))),
% 25.66/17.37 inference(rewrite,[status(thm)],[])).
% 25.66/17.37 tff(25022,plain,
% 25.66/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))),
% 25.66/17.37 inference(quant_inst,[status(thm)],[])).
% 25.66/17.37 tff(25023,plain,
% 25.66/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162))),
% 25.66/17.37 inference(modus_ponens,[status(thm)],[25022, 25021])).
% 25.66/17.37 tff(25024,plain,
% 25.66/17.37 (v101(constB162) | (~v102(constB162))),
% 25.66/17.37 inference(unit_resolution,[status(thm)],[25023, 1129, 25003, 273])).
% 25.66/17.37 tff(25025,plain,
% 25.66/17.37 (v101(constB162)),
% 25.66/17.37 inference(unit_resolution,[status(thm)],[25024, 25020])).
% 25.66/17.37 tff(25026,plain,
% 25.66/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 25.66/17.37 inference(rewrite,[status(thm)],[])).
% 25.66/17.37 tff(25027,plain,
% 25.66/17.37 (((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162)) <=> ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 25.66/17.37 inference(rewrite,[status(thm)],[])).
% 25.66/17.37 tff(25028,plain,
% 25.66/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162))))),
% 25.66/17.37 inference(monotonicity,[status(thm)],[25027])).
% 25.66/17.37 tff(25029,plain,
% 25.66/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 25.66/17.37 inference(transitivity,[status(thm)],[25028, 25026])).
% 25.66/17.37 tff(25030,plain,
% 25.66/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))),
% 25.66/17.37 inference(quant_inst,[status(thm)],[])).
% 25.66/17.37 tff(25031,plain,
% 25.66/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 25.66/17.37 inference(modus_ponens,[status(thm)],[25030, 25029])).
% 25.66/17.37 tff(25032,plain,
% 25.66/17.37 (v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 25.66/17.37 inference(unit_resolution,[status(thm)],[25031, 1144, 25003])).
% 25.66/17.37 tff(25033,plain,
% 25.66/17.37 (v100(constB162) | (~v110(constB162))),
% 25.66/17.37 inference(unit_resolution,[status(thm)],[25032, 25025])).
% 25.66/17.37 tff(25034,plain,
% 25.66/17.37 (v100(constB162)),
% 25.66/17.37 inference(unit_resolution,[status(thm)],[25033, 25011])).
% 25.66/17.37 tff(25035,plain,
% 25.66/17.37 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB161)) | v130(constB161, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB161)) | v130(constB161, bitIndex2))),
% 25.66/17.37 inference(rewrite,[status(thm)],[])).
% 25.66/17.37 tff(25036,plain,
% 25.66/17.37 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB161)) | v130(constB161, bitIndex2))),
% 25.66/17.37 inference(quant_inst,[status(thm)],[])).
% 25.66/17.37 tff(25037,plain,
% 25.66/17.37 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB161)) | v130(constB161, bitIndex2)),
% 25.66/17.37 inference(modus_ponens,[status(thm)],[25036, 25035])).
% 25.66/17.37 tff(25038,plain,
% 25.66/17.37 (v130(constB161, bitIndex2)),
% 25.66/17.37 inference(unit_resolution,[status(thm)],[25037, 2736, 24959])).
% 25.66/17.37 tff(25039,plain,
% 25.66/17.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB161) | (~v130(constB161, bitIndex2)) | v127(constB161, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB161) | (~v130(constB161, bitIndex2)) | v127(constB161, bitIndex2))),
% 25.66/17.37 inference(rewrite,[status(thm)],[])).
% 25.66/17.37 tff(25040,plain,
% 25.66/17.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB161) | (~v130(constB161, bitIndex2)) | v127(constB161, bitIndex2))),
% 25.66/17.37 inference(quant_inst,[status(thm)],[])).
% 25.66/17.37 tff(25041,plain,
% 25.66/17.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB161) | (~v130(constB161, bitIndex2)) | v127(constB161, bitIndex2)),
% 25.66/17.37 inference(modus_ponens,[status(thm)],[25040, 25039])).
% 25.66/17.37 tff(25042,plain,
% 25.66/17.37 ((~v130(constB161, bitIndex2)) | v127(constB161, bitIndex2)),
% 25.66/17.37 inference(unit_resolution,[status(thm)],[25041, 1174, 24985])).
% 25.66/17.37 tff(25043,plain,
% 25.66/17.37 (v127(constB161, bitIndex2)),
% 25.66/17.37 inference(unit_resolution,[status(thm)],[25042, 25038])).
% 25.66/17.37 tff(25044,plain,
% 25.66/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex2)) | v129(constB162, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex2)) | v129(constB162, bitIndex2))),
% 25.66/17.37 inference(rewrite,[status(thm)],[])).
% 25.66/17.37 tff(25045,plain,
% 25.66/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex2)) | v129(constB162, bitIndex2))),
% 25.66/17.37 inference(quant_inst,[status(thm)],[])).
% 25.66/17.37 tff(25046,plain,
% 25.66/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex2)) | v129(constB162, bitIndex2)),
% 25.66/17.37 inference(modus_ponens,[status(thm)],[25045, 25044])).
% 25.66/17.37 tff(25047,plain,
% 25.66/17.37 ((~v127(constB161, bitIndex2)) | v129(constB162, bitIndex2)),
% 25.66/17.37 inference(unit_resolution,[status(thm)],[25046, 1189, 25003])).
% 25.66/17.37 tff(25048,plain,
% 25.66/17.37 (v129(constB162, bitIndex2)),
% 25.66/17.37 inference(unit_resolution,[status(thm)],[25047, 25043])).
% 25.66/17.37 tff(25049,plain,
% 25.66/17.37 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB162, bitIndex2) | (~v129(constB162, bitIndex2)) | (~v100(constB162)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB162, bitIndex2) | (~v129(constB162, bitIndex2)) | (~v100(constB162)))),
% 25.66/17.37 inference(rewrite,[status(thm)],[])).
% 25.66/17.37 tff(25050,plain,
% 25.66/17.37 ((v90(constB162, bitIndex2) | (~v100(constB162)) | (~v129(constB162, bitIndex2))) <=> (v90(constB162, bitIndex2) | (~v129(constB162, bitIndex2)) | (~v100(constB162)))),
% 25.66/17.37 inference(rewrite,[status(thm)],[])).
% 25.66/17.37 tff(25051,plain,
% 25.66/17.37 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB162, bitIndex2) | (~v100(constB162)) | (~v129(constB162, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB162, bitIndex2) | (~v129(constB162, bitIndex2)) | (~v100(constB162))))),
% 25.66/17.37 inference(monotonicity,[status(thm)],[25050])).
% 25.66/17.37 tff(25052,plain,
% 25.66/17.37 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB162, bitIndex2) | (~v100(constB162)) | (~v129(constB162, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB162, bitIndex2) | (~v129(constB162, bitIndex2)) | (~v100(constB162)))),
% 25.66/17.37 inference(transitivity,[status(thm)],[25051, 25049])).
% 25.66/17.37 tff(25053,plain,
% 25.66/17.37 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB162, bitIndex2) | (~v100(constB162)) | (~v129(constB162, bitIndex2)))),
% 25.66/17.37 inference(quant_inst,[status(thm)],[])).
% 25.66/17.37 tff(25054,plain,
% 25.66/17.37 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB162, bitIndex2) | (~v129(constB162, bitIndex2)) | (~v100(constB162))),
% 25.66/17.37 inference(modus_ponens,[status(thm)],[25053, 25052])).
% 25.66/17.37 tff(25055,plain,
% 25.66/17.37 (v90(constB162, bitIndex2) | (~v100(constB162))),
% 25.66/17.37 inference(unit_resolution,[status(thm)],[25054, 1204, 25048])).
% 25.66/17.37 tff(25056,plain,
% 25.66/17.37 (v90(constB162, bitIndex2)),
% 25.66/17.37 inference(unit_resolution,[status(thm)],[25055, 25034])).
% 25.66/17.37 tff(25057,plain,
% 25.66/17.37 ((~v1(constB163)) <=> (~v1(constB163))),
% 25.66/17.37 inference(rewrite,[status(thm)],[])).
% 25.66/17.37 tff(25058,axiom,(~v1(constB163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_163_1_1')).
% 25.66/17.37 tff(25059,plain,
% 25.66/17.37 (~v1(constB163)),
% 25.66/17.37 inference(modus_ponens,[status(thm)],[25058, 25057])).
% 25.66/17.37 tff(25060,plain,
% 25.66/17.37 (nextState(constB162, constB163) <=> nextState(constB162, constB163)),
% 25.66/17.37 inference(rewrite,[status(thm)],[])).
% 25.66/17.37 tff(25061,axiom,(nextState(constB162, constB163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_162_1')).
% 25.66/17.37 tff(25062,plain,
% 25.66/17.37 (nextState(constB162, constB163)),
% 25.66/17.37 inference(modus_ponens,[status(thm)],[25061, 25060])).
% 25.66/17.37 tff(25063,plain,
% 25.66/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 25.66/17.37 inference(rewrite,[status(thm)],[])).
% 25.66/17.37 tff(25064,plain,
% 25.66/17.37 (((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163)) <=> (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 25.66/17.37 inference(rewrite,[status(thm)],[])).
% 25.66/17.37 tff(25065,plain,
% 25.66/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163))))),
% 25.66/17.37 inference(monotonicity,[status(thm)],[25064])).
% 25.66/17.37 tff(25066,plain,
% 25.66/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 25.66/17.37 inference(transitivity,[status(thm)],[25065, 25063])).
% 25.66/17.37 tff(25067,plain,
% 25.66/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))),
% 25.66/17.37 inference(quant_inst,[status(thm)],[])).
% 25.66/17.37 tff(25068,plain,
% 25.66/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163))),
% 25.66/17.37 inference(modus_ponens,[status(thm)],[25067, 25066])).
% 25.66/17.37 tff(25069,plain,
% 25.66/17.37 (~v101(constB163)),
% 25.66/17.37 inference(unit_resolution,[status(thm)],[25068, 860, 25062, 25059])).
% 25.66/17.37 tff(25070,plain,
% 25.66/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))),
% 25.66/17.37 inference(rewrite,[status(thm)],[])).
% 25.66/17.37 tff(25071,plain,
% 25.66/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))),
% 25.66/17.37 inference(quant_inst,[status(thm)],[])).
% 25.66/17.37 tff(25072,plain,
% 25.66/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163))),
% 25.66/17.37 inference(modus_ponens,[status(thm)],[25071, 25070])).
% 25.66/17.37 tff(25073,plain,
% 25.66/17.37 (v101(constB163) | (~v100(constB163))),
% 25.66/17.37 inference(unit_resolution,[status(thm)],[25072, 877, 25062])).
% 25.66/17.37 tff(25074,plain,
% 25.66/17.37 (~v100(constB163)),
% 25.66/17.37 inference(unit_resolution,[status(thm)],[25073, 25069])).
% 25.66/17.37 tff(25075,plain,
% 25.66/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex2))),
% 25.66/17.37 inference(rewrite,[status(thm)],[])).
% 25.66/17.37 tff(25076,plain,
% 25.66/17.37 (((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex2)) | v100(constB163) | v90(constB163, bitIndex2)) <=> ((~v90(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex2))),
% 25.66/17.37 inference(rewrite,[status(thm)],[])).
% 25.66/17.37 tff(25077,plain,
% 25.66/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex2)) | v100(constB163) | v90(constB163, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex2)))),
% 25.66/17.37 inference(monotonicity,[status(thm)],[25076])).
% 25.66/17.37 tff(25078,plain,
% 25.66/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex2)) | v100(constB163) | v90(constB163, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex2))),
% 25.66/17.37 inference(transitivity,[status(thm)],[25077, 25075])).
% 25.66/17.37 tff(25079,plain,
% 25.66/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex2)) | v100(constB163) | v90(constB163, bitIndex2))),
% 25.66/17.37 inference(quant_inst,[status(thm)],[])).
% 25.66/17.37 tff(25080,plain,
% 25.66/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex2)),
% 25.66/17.38 inference(modus_ponens,[status(thm)],[25079, 25078])).
% 25.66/17.38 tff(25081,plain,
% 25.66/17.38 ((~v90(constB162, bitIndex2)) | v100(constB163) | v90(constB163, bitIndex2)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25080, 1240, 25062])).
% 25.66/17.38 tff(25082,plain,
% 25.66/17.38 ((~v90(constB162, bitIndex2)) | v90(constB163, bitIndex2)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25081, 25074])).
% 25.66/17.38 tff(25083,plain,
% 25.66/17.38 (v90(constB163, bitIndex2)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25082, 25056])).
% 25.66/17.38 tff(25084,plain,
% 25.66/17.38 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB161)) | (~v130(constB161, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB161)) | (~v130(constB161, bitIndex1)))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25085,plain,
% 25.66/17.38 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB161)) | (~v130(constB161, bitIndex1)))),
% 25.66/17.38 inference(quant_inst,[status(thm)],[])).
% 25.66/17.38 tff(25086,plain,
% 25.66/17.38 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB161)) | (~v130(constB161, bitIndex1))),
% 25.66/17.38 inference(modus_ponens,[status(thm)],[25085, 25084])).
% 25.66/17.38 tff(25087,plain,
% 25.66/17.38 (~v130(constB161, bitIndex1)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25086, 2792, 24959])).
% 25.66/17.38 tff(25088,plain,
% 25.66/17.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB161, bitIndex1)) | v26(constB161) | v130(constB161, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB161, bitIndex1)) | v26(constB161) | v130(constB161, bitIndex1))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25089,plain,
% 25.66/17.38 ((v26(constB161) | v130(constB161, bitIndex1) | (~v127(constB161, bitIndex1))) <=> ((~v127(constB161, bitIndex1)) | v26(constB161) | v130(constB161, bitIndex1))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25090,plain,
% 25.66/17.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB161) | v130(constB161, bitIndex1) | (~v127(constB161, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB161, bitIndex1)) | v26(constB161) | v130(constB161, bitIndex1)))),
% 25.66/17.38 inference(monotonicity,[status(thm)],[25089])).
% 25.66/17.38 tff(25091,plain,
% 25.66/17.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB161) | v130(constB161, bitIndex1) | (~v127(constB161, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB161, bitIndex1)) | v26(constB161) | v130(constB161, bitIndex1))),
% 25.66/17.38 inference(transitivity,[status(thm)],[25090, 25088])).
% 25.66/17.38 tff(25092,plain,
% 25.66/17.38 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB161) | v130(constB161, bitIndex1) | (~v127(constB161, bitIndex1)))),
% 25.66/17.38 inference(quant_inst,[status(thm)],[])).
% 25.66/17.38 tff(25093,plain,
% 25.66/17.38 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB161, bitIndex1)) | v26(constB161) | v130(constB161, bitIndex1)),
% 25.66/17.38 inference(modus_ponens,[status(thm)],[25092, 25091])).
% 25.66/17.38 tff(25094,plain,
% 25.66/17.38 ((~v127(constB161, bitIndex1)) | v130(constB161, bitIndex1)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25093, 1270, 24985])).
% 25.66/17.38 tff(25095,plain,
% 25.66/17.38 (~v127(constB161, bitIndex1)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25094, 25087])).
% 25.66/17.38 tff(25096,plain,
% 25.66/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB161, constB162)) | v127(constB161, bitIndex1) | (~v129(constB162, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB161, constB162)) | v127(constB161, bitIndex1) | (~v129(constB162, bitIndex1)))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25097,plain,
% 25.66/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB161, constB162)) | v127(constB161, bitIndex1) | (~v129(constB162, bitIndex1)))),
% 25.66/17.38 inference(quant_inst,[status(thm)],[])).
% 25.66/17.38 tff(25098,plain,
% 25.66/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB161, constB162)) | v127(constB161, bitIndex1) | (~v129(constB162, bitIndex1))),
% 25.66/17.38 inference(modus_ponens,[status(thm)],[25097, 25096])).
% 25.66/17.38 tff(25099,plain,
% 25.66/17.38 (v127(constB161, bitIndex1) | (~v129(constB162, bitIndex1))),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25098, 1288, 25003])).
% 25.66/17.38 tff(25100,plain,
% 25.66/17.38 (~v129(constB162, bitIndex1)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25099, 25095])).
% 25.66/17.38 tff(25101,plain,
% 25.66/17.38 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB162, bitIndex1)) | v129(constB162, bitIndex1) | (~v100(constB162)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB162, bitIndex1)) | v129(constB162, bitIndex1) | (~v100(constB162)))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25102,plain,
% 25.66/17.38 (((~v90(constB162, bitIndex1)) | (~v100(constB162)) | v129(constB162, bitIndex1)) <=> ((~v90(constB162, bitIndex1)) | v129(constB162, bitIndex1) | (~v100(constB162)))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25103,plain,
% 25.66/17.38 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB162, bitIndex1)) | (~v100(constB162)) | v129(constB162, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB162, bitIndex1)) | v129(constB162, bitIndex1) | (~v100(constB162))))),
% 25.66/17.38 inference(monotonicity,[status(thm)],[25102])).
% 25.66/17.38 tff(25104,plain,
% 25.66/17.38 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB162, bitIndex1)) | (~v100(constB162)) | v129(constB162, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB162, bitIndex1)) | v129(constB162, bitIndex1) | (~v100(constB162)))),
% 25.66/17.38 inference(transitivity,[status(thm)],[25103, 25101])).
% 25.66/17.38 tff(25105,plain,
% 25.66/17.38 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB162, bitIndex1)) | (~v100(constB162)) | v129(constB162, bitIndex1))),
% 25.66/17.38 inference(quant_inst,[status(thm)],[])).
% 25.66/17.38 tff(25106,plain,
% 25.66/17.38 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB162, bitIndex1)) | v129(constB162, bitIndex1) | (~v100(constB162))),
% 25.66/17.38 inference(modus_ponens,[status(thm)],[25105, 25104])).
% 25.66/17.38 tff(25107,plain,
% 25.66/17.38 ((~v90(constB162, bitIndex1)) | (~v100(constB162))),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25106, 1303, 25100])).
% 25.66/17.38 tff(25108,plain,
% 25.66/17.38 (~v90(constB162, bitIndex1)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25107, 25034])).
% 25.66/17.38 tff(25109,plain,
% 25.66/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex1)))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25110,plain,
% 25.66/17.38 (((~nextState(constB162, constB163)) | v90(constB162, bitIndex1) | v100(constB163) | (~v90(constB163, bitIndex1))) <=> (v90(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex1)))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25111,plain,
% 25.66/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex1) | v100(constB163) | (~v90(constB163, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex1))))),
% 25.66/17.38 inference(monotonicity,[status(thm)],[25110])).
% 25.66/17.38 tff(25112,plain,
% 25.66/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex1) | v100(constB163) | (~v90(constB163, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex1)))),
% 25.66/17.38 inference(transitivity,[status(thm)],[25111, 25109])).
% 25.66/17.38 tff(25113,plain,
% 25.66/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex1) | v100(constB163) | (~v90(constB163, bitIndex1)))),
% 25.66/17.38 inference(quant_inst,[status(thm)],[])).
% 25.66/17.38 tff(25114,plain,
% 25.66/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex1))),
% 25.66/17.38 inference(modus_ponens,[status(thm)],[25113, 25112])).
% 25.66/17.38 tff(25115,plain,
% 25.66/17.38 (v90(constB162, bitIndex1) | v100(constB163) | (~v90(constB163, bitIndex1))),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25114, 913, 25062])).
% 25.66/17.38 tff(25116,plain,
% 25.66/17.38 (v90(constB162, bitIndex1) | (~v90(constB163, bitIndex1))),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25115, 25074])).
% 25.66/17.38 tff(25117,plain,
% 25.66/17.38 (~v90(constB163, bitIndex1)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25116, 25108])).
% 25.66/17.38 tff(25118,plain,
% 25.66/17.38 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB161)) | (~v130(constB161, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB161)) | (~v130(constB161, bitIndex0)))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25119,plain,
% 25.66/17.38 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB161)) | (~v130(constB161, bitIndex0)))),
% 25.66/17.38 inference(quant_inst,[status(thm)],[])).
% 25.66/17.38 tff(25120,plain,
% 25.66/17.38 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB161)) | (~v130(constB161, bitIndex0))),
% 25.66/17.38 inference(modus_ponens,[status(thm)],[25119, 25118])).
% 25.66/17.38 tff(25121,plain,
% 25.66/17.38 (~v130(constB161, bitIndex0)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25120, 2833, 24959])).
% 25.66/17.38 tff(25122,plain,
% 25.66/17.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB161, bitIndex0)) | v26(constB161) | v130(constB161, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB161, bitIndex0)) | v26(constB161) | v130(constB161, bitIndex0))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25123,plain,
% 25.66/17.38 ((v26(constB161) | v130(constB161, bitIndex0) | (~v127(constB161, bitIndex0))) <=> ((~v127(constB161, bitIndex0)) | v26(constB161) | v130(constB161, bitIndex0))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25124,plain,
% 25.66/17.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB161) | v130(constB161, bitIndex0) | (~v127(constB161, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB161, bitIndex0)) | v26(constB161) | v130(constB161, bitIndex0)))),
% 25.66/17.38 inference(monotonicity,[status(thm)],[25123])).
% 25.66/17.38 tff(25125,plain,
% 25.66/17.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB161) | v130(constB161, bitIndex0) | (~v127(constB161, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB161, bitIndex0)) | v26(constB161) | v130(constB161, bitIndex0))),
% 25.66/17.38 inference(transitivity,[status(thm)],[25124, 25122])).
% 25.66/17.38 tff(25126,plain,
% 25.66/17.38 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB161) | v130(constB161, bitIndex0) | (~v127(constB161, bitIndex0)))),
% 25.66/17.38 inference(quant_inst,[status(thm)],[])).
% 25.66/17.38 tff(25127,plain,
% 25.66/17.38 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB161, bitIndex0)) | v26(constB161) | v130(constB161, bitIndex0)),
% 25.66/17.38 inference(modus_ponens,[status(thm)],[25126, 25125])).
% 25.66/17.38 tff(25128,plain,
% 25.66/17.38 ((~v127(constB161, bitIndex0)) | v130(constB161, bitIndex0)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25127, 1341, 24985])).
% 25.66/17.38 tff(25129,plain,
% 25.66/17.38 (~v127(constB161, bitIndex0)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25128, 25121])).
% 25.66/17.38 tff(25130,plain,
% 25.66/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB161, constB162)) | v127(constB161, bitIndex0) | (~v129(constB162, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB161, constB162)) | v127(constB161, bitIndex0) | (~v129(constB162, bitIndex0)))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25131,plain,
% 25.66/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB161, constB162)) | v127(constB161, bitIndex0) | (~v129(constB162, bitIndex0)))),
% 25.66/17.38 inference(quant_inst,[status(thm)],[])).
% 25.66/17.38 tff(25132,plain,
% 25.66/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB161, constB162)) | v127(constB161, bitIndex0) | (~v129(constB162, bitIndex0))),
% 25.66/17.38 inference(modus_ponens,[status(thm)],[25131, 25130])).
% 25.66/17.38 tff(25133,plain,
% 25.66/17.38 (v127(constB161, bitIndex0) | (~v129(constB162, bitIndex0))),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25132, 1359, 25003])).
% 25.66/17.38 tff(25134,plain,
% 25.66/17.38 (~v129(constB162, bitIndex0)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25133, 25129])).
% 25.66/17.38 tff(25135,plain,
% 25.66/17.38 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB162, bitIndex0)) | v129(constB162, bitIndex0) | (~v100(constB162)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB162, bitIndex0)) | v129(constB162, bitIndex0) | (~v100(constB162)))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25136,plain,
% 25.66/17.38 (((~v90(constB162, bitIndex0)) | (~v100(constB162)) | v129(constB162, bitIndex0)) <=> ((~v90(constB162, bitIndex0)) | v129(constB162, bitIndex0) | (~v100(constB162)))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25137,plain,
% 25.66/17.38 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB162, bitIndex0)) | (~v100(constB162)) | v129(constB162, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB162, bitIndex0)) | v129(constB162, bitIndex0) | (~v100(constB162))))),
% 25.66/17.38 inference(monotonicity,[status(thm)],[25136])).
% 25.66/17.38 tff(25138,plain,
% 25.66/17.38 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB162, bitIndex0)) | (~v100(constB162)) | v129(constB162, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB162, bitIndex0)) | v129(constB162, bitIndex0) | (~v100(constB162)))),
% 25.66/17.38 inference(transitivity,[status(thm)],[25137, 25135])).
% 25.66/17.38 tff(25139,plain,
% 25.66/17.38 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB162, bitIndex0)) | (~v100(constB162)) | v129(constB162, bitIndex0))),
% 25.66/17.38 inference(quant_inst,[status(thm)],[])).
% 25.66/17.38 tff(25140,plain,
% 25.66/17.38 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB162, bitIndex0)) | v129(constB162, bitIndex0) | (~v100(constB162))),
% 25.66/17.38 inference(modus_ponens,[status(thm)],[25139, 25138])).
% 25.66/17.38 tff(25141,plain,
% 25.66/17.38 ((~v90(constB162, bitIndex0)) | (~v100(constB162))),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25140, 1374, 25134])).
% 25.66/17.38 tff(25142,plain,
% 25.66/17.38 (~v90(constB162, bitIndex0)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25141, 25034])).
% 25.66/17.38 tff(25143,plain,
% 25.66/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex0)))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25144,plain,
% 25.66/17.38 (((~nextState(constB162, constB163)) | v90(constB162, bitIndex0) | v100(constB163) | (~v90(constB163, bitIndex0))) <=> (v90(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex0)))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25145,plain,
% 25.66/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex0) | v100(constB163) | (~v90(constB163, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex0))))),
% 25.66/17.38 inference(monotonicity,[status(thm)],[25144])).
% 25.66/17.38 tff(25146,plain,
% 25.66/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex0) | v100(constB163) | (~v90(constB163, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex0)))),
% 25.66/17.38 inference(transitivity,[status(thm)],[25145, 25143])).
% 25.66/17.38 tff(25147,plain,
% 25.66/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex0) | v100(constB163) | (~v90(constB163, bitIndex0)))),
% 25.66/17.38 inference(quant_inst,[status(thm)],[])).
% 25.66/17.38 tff(25148,plain,
% 25.66/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex0))),
% 25.66/17.38 inference(modus_ponens,[status(thm)],[25147, 25146])).
% 25.66/17.38 tff(25149,plain,
% 25.66/17.38 (v90(constB162, bitIndex0) | v100(constB163) | (~v90(constB163, bitIndex0))),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25148, 934, 25062])).
% 25.66/17.38 tff(25150,plain,
% 25.66/17.38 (v90(constB162, bitIndex0) | (~v90(constB163, bitIndex0))),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25149, 25074])).
% 25.66/17.38 tff(25151,plain,
% 25.66/17.38 (~v90(constB163, bitIndex0)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25150, 25142])).
% 25.66/17.38 tff(25152,plain,
% 25.66/17.38 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB163, bitIndex0) | v90(constB163, bitIndex1) | (~v90(constB163, bitIndex2)) | v123(constB163))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB163, bitIndex0) | v90(constB163, bitIndex1) | (~v90(constB163, bitIndex2)) | v123(constB163))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25153,plain,
% 25.66/17.38 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB163, bitIndex0) | v90(constB163, bitIndex1) | (~v90(constB163, bitIndex2)) | v123(constB163))),
% 25.66/17.38 inference(quant_inst,[status(thm)],[])).
% 25.66/17.38 tff(25154,plain,
% 25.66/17.38 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB163, bitIndex0) | v90(constB163, bitIndex1) | (~v90(constB163, bitIndex2)) | v123(constB163)),
% 25.66/17.38 inference(modus_ponens,[status(thm)],[25153, 25152])).
% 25.66/17.38 tff(25155,plain,
% 25.66/17.38 (v123(constB163)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25154, 1401, 25151, 25117, 25083])).
% 25.66/17.38 tff(25156,plain,
% 25.66/17.38 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB163)) | v115(constB163))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB163)) | v115(constB163))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25157,plain,
% 25.66/17.38 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB163)) | v115(constB163))),
% 25.66/17.38 inference(quant_inst,[status(thm)],[])).
% 25.66/17.38 tff(25158,plain,
% 25.66/17.38 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB163)) | v115(constB163)),
% 25.66/17.38 inference(modus_ponens,[status(thm)],[25157, 25156])).
% 25.66/17.38 tff(25159,plain,
% 25.66/17.38 (v115(constB163)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25158, 1412, 25155])).
% 25.66/17.38 tff(25160,plain,
% 25.66/17.38 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB163) | (~v115(constB163)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB163) | (~v115(constB163)))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25161,plain,
% 25.66/17.38 (((~v115(constB163)) | v114(constB163)) <=> (v114(constB163) | (~v115(constB163)))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25162,plain,
% 25.66/17.38 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB163)) | v114(constB163))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB163) | (~v115(constB163))))),
% 25.66/17.38 inference(monotonicity,[status(thm)],[25161])).
% 25.66/17.38 tff(25163,plain,
% 25.66/17.38 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB163)) | v114(constB163))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB163) | (~v115(constB163)))),
% 25.66/17.38 inference(transitivity,[status(thm)],[25162, 25160])).
% 25.66/17.38 tff(25164,plain,
% 25.66/17.38 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB163)) | v114(constB163))),
% 25.66/17.38 inference(quant_inst,[status(thm)],[])).
% 25.66/17.38 tff(25165,plain,
% 25.66/17.38 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB163) | (~v115(constB163))),
% 25.66/17.38 inference(modus_ponens,[status(thm)],[25164, 25163])).
% 25.66/17.38 tff(25166,plain,
% 25.66/17.38 (v114(constB163)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25165, 1022, 25159])).
% 25.66/17.38 tff(25167,plain,
% 25.66/17.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB163) | (~v114(constB163)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB163) | (~v114(constB163)))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25168,plain,
% 25.66/17.38 (((~v114(constB163)) | v113(constB163)) <=> (v113(constB163) | (~v114(constB163)))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25169,plain,
% 25.66/17.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB163)) | v113(constB163))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB163) | (~v114(constB163))))),
% 25.66/17.38 inference(monotonicity,[status(thm)],[25168])).
% 25.66/17.38 tff(25170,plain,
% 25.66/17.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB163)) | v113(constB163))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB163) | (~v114(constB163)))),
% 25.66/17.38 inference(transitivity,[status(thm)],[25169, 25167])).
% 25.66/17.38 tff(25171,plain,
% 25.66/17.38 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB163)) | v113(constB163))),
% 25.66/17.38 inference(quant_inst,[status(thm)],[])).
% 25.66/17.38 tff(25172,plain,
% 25.66/17.38 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB163) | (~v114(constB163))),
% 25.66/17.38 inference(modus_ponens,[status(thm)],[25171, 25170])).
% 25.66/17.38 tff(25173,plain,
% 25.66/17.38 (v113(constB163)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25172, 1036, 25166])).
% 25.66/17.38 tff(25174,assumption,(v26(constB163)), introduced(assumption)).
% 25.66/17.38 tff(25175,plain,
% 25.66/17.38 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB163))),
% 25.66/17.38 inference(quant_inst,[status(thm)],[])).
% 25.66/17.38 tff(25176,plain,
% 25.66/17.38 ($false),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25175, 797, 25174])).
% 25.66/17.38 tff(25177,plain,(~v26(constB163)), inference(lemma,lemma(discharge,[]))).
% 25.66/17.38 tff(25178,plain,
% 25.66/17.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | (~v113(constB163)) | v112(constB163))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25179,plain,
% 25.66/17.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))),
% 25.66/17.38 inference(quant_inst,[status(thm)],[])).
% 25.66/17.38 tff(25180,plain,
% 25.66/17.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | (~v113(constB163)) | v112(constB163)),
% 25.66/17.38 inference(modus_ponens,[status(thm)],[25179, 25178])).
% 25.66/17.38 tff(25181,plain,
% 25.66/17.38 ((~v113(constB163)) | v112(constB163)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25180, 1050, 25177])).
% 25.66/17.38 tff(25182,plain,
% 25.66/17.38 (v112(constB163)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25181, 25173])).
% 25.66/17.38 tff(25183,plain,
% 25.66/17.38 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB163) | (~v112(constB163)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB163) | (~v112(constB163)))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25184,plain,
% 25.66/17.38 (((~v112(constB163)) | v108(constB163)) <=> (v108(constB163) | (~v112(constB163)))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25185,plain,
% 25.66/17.38 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB163)) | v108(constB163))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB163) | (~v112(constB163))))),
% 25.66/17.38 inference(monotonicity,[status(thm)],[25184])).
% 25.66/17.38 tff(25186,plain,
% 25.66/17.38 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB163)) | v108(constB163))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB163) | (~v112(constB163)))),
% 25.66/17.38 inference(transitivity,[status(thm)],[25185, 25183])).
% 25.66/17.38 tff(25187,plain,
% 25.66/17.38 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB163)) | v108(constB163))),
% 25.66/17.38 inference(quant_inst,[status(thm)],[])).
% 25.66/17.38 tff(25188,plain,
% 25.66/17.38 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB163) | (~v112(constB163))),
% 25.66/17.38 inference(modus_ponens,[status(thm)],[25187, 25186])).
% 25.66/17.38 tff(25189,plain,
% 25.66/17.38 (v108(constB163)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25188, 1062, 25182])).
% 25.66/17.38 tff(25190,plain,
% 25.66/17.38 (nextState(constB163, constB164) <=> nextState(constB163, constB164)),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25191,axiom,(nextState(constB163, constB164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_163_1')).
% 25.66/17.38 tff(25192,plain,
% 25.66/17.38 (nextState(constB163, constB164)),
% 25.66/17.38 inference(modus_ponens,[status(thm)],[25191, 25190])).
% 25.66/17.38 tff(25193,plain,
% 25.66/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25194,plain,
% 25.66/17.38 (((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164)) <=> ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25195,plain,
% 25.66/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163))))),
% 25.66/17.38 inference(monotonicity,[status(thm)],[25194])).
% 25.66/17.38 tff(25196,plain,
% 25.66/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 25.66/17.38 inference(transitivity,[status(thm)],[25195, 25193])).
% 25.66/17.38 tff(25197,plain,
% 25.66/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))),
% 25.66/17.38 inference(quant_inst,[status(thm)],[])).
% 25.66/17.38 tff(25198,plain,
% 25.66/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163))),
% 25.66/17.38 inference(modus_ponens,[status(thm)],[25197, 25196])).
% 25.66/17.38 tff(25199,plain,
% 25.66/17.38 (v110(constB164) | (~v108(constB163))),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25198, 1082, 25192])).
% 25.66/17.38 tff(25200,plain,
% 25.66/17.38 (v110(constB164)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25199, 25189])).
% 25.66/17.38 tff(25201,plain,
% 25.66/17.38 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25202,plain,
% 25.66/17.38 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))),
% 25.66/17.38 inference(quant_inst,[status(thm)],[])).
% 25.66/17.38 tff(25203,plain,
% 25.66/17.38 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164))),
% 25.66/17.38 inference(modus_ponens,[status(thm)],[25202, 25201])).
% 25.66/17.38 tff(25204,plain,
% 25.66/17.38 (~v104(constB164)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25203, 1100, 25192, 25059])).
% 25.66/17.38 tff(25205,plain,
% 25.66/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25206,plain,
% 25.66/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))),
% 25.66/17.38 inference(quant_inst,[status(thm)],[])).
% 25.66/17.38 tff(25207,plain,
% 25.66/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v102(constB164) | v104(constB164)),
% 25.66/17.38 inference(modus_ponens,[status(thm)],[25206, 25205])).
% 25.66/17.38 tff(25208,plain,
% 25.66/17.38 (v102(constB164) | v104(constB164)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25207, 1114, 25192])).
% 25.66/17.38 tff(25209,plain,
% 25.66/17.38 (v102(constB164)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25208, 25204])).
% 25.66/17.38 tff(25210,plain,
% 25.66/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25211,plain,
% 25.66/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))),
% 25.66/17.38 inference(quant_inst,[status(thm)],[])).
% 25.66/17.38 tff(25212,plain,
% 25.66/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164))),
% 25.66/17.38 inference(modus_ponens,[status(thm)],[25211, 25210])).
% 25.66/17.38 tff(25213,plain,
% 25.66/17.38 (v101(constB164) | (~v102(constB164))),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25212, 1129, 25192, 185])).
% 25.66/17.38 tff(25214,plain,
% 25.66/17.38 (v101(constB164)),
% 25.66/17.38 inference(unit_resolution,[status(thm)],[25213, 25209])).
% 25.66/17.38 tff(25215,plain,
% 25.66/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25216,plain,
% 25.66/17.38 (((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164)) <=> ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 25.66/17.38 inference(rewrite,[status(thm)],[])).
% 25.66/17.38 tff(25217,plain,
% 25.66/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164))))),
% 25.66/17.38 inference(monotonicity,[status(thm)],[25216])).
% 25.66/17.38 tff(25218,plain,
% 25.66/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 25.66/17.39 inference(transitivity,[status(thm)],[25217, 25215])).
% 25.66/17.39 tff(25219,plain,
% 25.66/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))),
% 25.66/17.39 inference(quant_inst,[status(thm)],[])).
% 25.66/17.39 tff(25220,plain,
% 25.66/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 25.66/17.39 inference(modus_ponens,[status(thm)],[25219, 25218])).
% 25.66/17.39 tff(25221,plain,
% 25.66/17.39 (v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25220, 1144, 25192])).
% 25.66/17.39 tff(25222,plain,
% 25.66/17.39 (v100(constB164) | (~v110(constB164))),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25221, 25214])).
% 25.66/17.39 tff(25223,plain,
% 25.66/17.39 (v100(constB164)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25222, 25200])).
% 25.66/17.39 tff(25224,plain,
% 25.66/17.39 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB163)) | v130(constB163, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB163)) | v130(constB163, bitIndex2))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25225,plain,
% 25.66/17.39 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB163)) | v130(constB163, bitIndex2))),
% 25.66/17.39 inference(quant_inst,[status(thm)],[])).
% 25.66/17.39 tff(25226,plain,
% 25.66/17.39 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB163)) | v130(constB163, bitIndex2)),
% 25.66/17.39 inference(modus_ponens,[status(thm)],[25225, 25224])).
% 25.66/17.39 tff(25227,plain,
% 25.66/17.39 (v130(constB163, bitIndex2)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25226, 1483, 25155])).
% 25.66/17.39 tff(25228,plain,
% 25.66/17.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25229,plain,
% 25.66/17.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2))),
% 25.66/17.39 inference(quant_inst,[status(thm)],[])).
% 25.66/17.39 tff(25230,plain,
% 25.66/17.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2)),
% 25.66/17.39 inference(modus_ponens,[status(thm)],[25229, 25228])).
% 25.66/17.39 tff(25231,plain,
% 25.66/17.39 ((~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25230, 1174, 25177])).
% 25.66/17.39 tff(25232,plain,
% 25.66/17.39 (v127(constB163, bitIndex2)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25231, 25227])).
% 25.66/17.39 tff(25233,plain,
% 25.66/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25234,plain,
% 25.66/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2))),
% 25.66/17.39 inference(quant_inst,[status(thm)],[])).
% 25.66/17.39 tff(25235,plain,
% 25.66/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2)),
% 25.66/17.39 inference(modus_ponens,[status(thm)],[25234, 25233])).
% 25.66/17.39 tff(25236,plain,
% 25.66/17.39 ((~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25235, 1189, 25192])).
% 25.66/17.39 tff(25237,plain,
% 25.66/17.39 (v129(constB164, bitIndex2)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25236, 25232])).
% 25.66/17.39 tff(25238,plain,
% 25.66/17.39 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25239,plain,
% 25.66/17.39 ((v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2))) <=> (v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25240,plain,
% 25.66/17.39 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164))))),
% 25.66/17.39 inference(monotonicity,[status(thm)],[25239])).
% 25.66/17.39 tff(25241,plain,
% 25.66/17.39 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))),
% 25.66/17.39 inference(transitivity,[status(thm)],[25240, 25238])).
% 25.66/17.39 tff(25242,plain,
% 25.66/17.39 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2)))),
% 25.66/17.39 inference(quant_inst,[status(thm)],[])).
% 25.66/17.39 tff(25243,plain,
% 25.66/17.39 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164))),
% 25.66/17.39 inference(modus_ponens,[status(thm)],[25242, 25241])).
% 25.66/17.39 tff(25244,plain,
% 25.66/17.39 (v90(constB164, bitIndex2) | (~v100(constB164))),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25243, 1204, 25237])).
% 25.66/17.39 tff(25245,plain,
% 25.66/17.39 (v90(constB164, bitIndex2)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25244, 25223])).
% 25.66/17.39 tff(25246,plain,
% 25.66/17.39 ((~v1(constB165)) <=> (~v1(constB165))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25247,axiom,(~v1(constB165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_165_1_1')).
% 25.66/17.39 tff(25248,plain,
% 25.66/17.39 (~v1(constB165)),
% 25.66/17.39 inference(modus_ponens,[status(thm)],[25247, 25246])).
% 25.66/17.39 tff(25249,plain,
% 25.66/17.39 (nextState(constB164, constB165) <=> nextState(constB164, constB165)),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25250,axiom,(nextState(constB164, constB165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_164_1')).
% 25.66/17.39 tff(25251,plain,
% 25.66/17.39 (nextState(constB164, constB165)),
% 25.66/17.39 inference(modus_ponens,[status(thm)],[25250, 25249])).
% 25.66/17.39 tff(25252,plain,
% 25.66/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25253,plain,
% 25.66/17.39 (((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165)) <=> (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25254,plain,
% 25.66/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165))))),
% 25.66/17.39 inference(monotonicity,[status(thm)],[25253])).
% 25.66/17.39 tff(25255,plain,
% 25.66/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 25.66/17.39 inference(transitivity,[status(thm)],[25254, 25252])).
% 25.66/17.39 tff(25256,plain,
% 25.66/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))),
% 25.66/17.39 inference(quant_inst,[status(thm)],[])).
% 25.66/17.39 tff(25257,plain,
% 25.66/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165))),
% 25.66/17.39 inference(modus_ponens,[status(thm)],[25256, 25255])).
% 25.66/17.39 tff(25258,plain,
% 25.66/17.39 (~v101(constB165)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25257, 860, 25251, 25248])).
% 25.66/17.39 tff(25259,plain,
% 25.66/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25260,plain,
% 25.66/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))),
% 25.66/17.39 inference(quant_inst,[status(thm)],[])).
% 25.66/17.39 tff(25261,plain,
% 25.66/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165))),
% 25.66/17.39 inference(modus_ponens,[status(thm)],[25260, 25259])).
% 25.66/17.39 tff(25262,plain,
% 25.66/17.39 (v101(constB165) | (~v100(constB165))),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25261, 877, 25251])).
% 25.66/17.39 tff(25263,plain,
% 25.66/17.39 (~v100(constB165)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25262, 25258])).
% 25.66/17.39 tff(25264,plain,
% 25.66/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25265,plain,
% 25.66/17.39 (((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2)) <=> ((~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25266,plain,
% 25.66/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2)))),
% 25.66/17.39 inference(monotonicity,[status(thm)],[25265])).
% 25.66/17.39 tff(25267,plain,
% 25.66/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))),
% 25.66/17.39 inference(transitivity,[status(thm)],[25266, 25264])).
% 25.66/17.39 tff(25268,plain,
% 25.66/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2))),
% 25.66/17.39 inference(quant_inst,[status(thm)],[])).
% 25.66/17.39 tff(25269,plain,
% 25.66/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2)),
% 25.66/17.39 inference(modus_ponens,[status(thm)],[25268, 25267])).
% 25.66/17.39 tff(25270,plain,
% 25.66/17.39 ((~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25269, 1240, 25251])).
% 25.66/17.39 tff(25271,plain,
% 25.66/17.39 ((~v90(constB164, bitIndex2)) | v90(constB165, bitIndex2)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25270, 25263])).
% 25.66/17.39 tff(25272,plain,
% 25.66/17.39 (v90(constB165, bitIndex2)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25271, 25245])).
% 25.66/17.39 tff(25273,plain,
% 25.66/17.39 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB163)) | v130(constB163, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB163)) | v130(constB163, bitIndex1))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25274,plain,
% 25.66/17.39 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB163)) | v130(constB163, bitIndex1))),
% 25.66/17.39 inference(quant_inst,[status(thm)],[])).
% 25.66/17.39 tff(25275,plain,
% 25.66/17.39 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB163)) | v130(constB163, bitIndex1)),
% 25.66/17.39 inference(modus_ponens,[status(thm)],[25274, 25273])).
% 25.66/17.39 tff(25276,plain,
% 25.66/17.39 (v130(constB163, bitIndex1)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25275, 1539, 25155])).
% 25.66/17.39 tff(25277,plain,
% 25.66/17.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB163) | (~v130(constB163, bitIndex1)) | v127(constB163, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB163) | (~v130(constB163, bitIndex1)) | v127(constB163, bitIndex1))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25278,plain,
% 25.66/17.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB163) | (~v130(constB163, bitIndex1)) | v127(constB163, bitIndex1))),
% 25.66/17.39 inference(quant_inst,[status(thm)],[])).
% 25.66/17.39 tff(25279,plain,
% 25.66/17.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB163) | (~v130(constB163, bitIndex1)) | v127(constB163, bitIndex1)),
% 25.66/17.39 inference(modus_ponens,[status(thm)],[25278, 25277])).
% 25.66/17.39 tff(25280,plain,
% 25.66/17.39 ((~v130(constB163, bitIndex1)) | v127(constB163, bitIndex1)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25279, 1553, 25177])).
% 25.66/17.39 tff(25281,plain,
% 25.66/17.39 (v127(constB163, bitIndex1)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25280, 25276])).
% 25.66/17.39 tff(25282,plain,
% 25.66/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB163, constB164)) | (~v127(constB163, bitIndex1)) | v129(constB164, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB163, constB164)) | (~v127(constB163, bitIndex1)) | v129(constB164, bitIndex1))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25283,plain,
% 25.66/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB163, constB164)) | (~v127(constB163, bitIndex1)) | v129(constB164, bitIndex1))),
% 25.66/17.39 inference(quant_inst,[status(thm)],[])).
% 25.66/17.39 tff(25284,plain,
% 25.66/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB163, constB164)) | (~v127(constB163, bitIndex1)) | v129(constB164, bitIndex1)),
% 25.66/17.39 inference(modus_ponens,[status(thm)],[25283, 25282])).
% 25.66/17.39 tff(25285,plain,
% 25.66/17.39 ((~v127(constB163, bitIndex1)) | v129(constB164, bitIndex1)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25284, 1568, 25192])).
% 25.66/17.39 tff(25286,plain,
% 25.66/17.39 (v129(constB164, bitIndex1)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25285, 25281])).
% 25.66/17.39 tff(25287,plain,
% 25.66/17.39 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB164, bitIndex1) | (~v129(constB164, bitIndex1)) | (~v100(constB164)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB164, bitIndex1) | (~v129(constB164, bitIndex1)) | (~v100(constB164)))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25288,plain,
% 25.66/17.39 ((v90(constB164, bitIndex1) | (~v100(constB164)) | (~v129(constB164, bitIndex1))) <=> (v90(constB164, bitIndex1) | (~v129(constB164, bitIndex1)) | (~v100(constB164)))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25289,plain,
% 25.66/17.39 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB164, bitIndex1) | (~v100(constB164)) | (~v129(constB164, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB164, bitIndex1) | (~v129(constB164, bitIndex1)) | (~v100(constB164))))),
% 25.66/17.39 inference(monotonicity,[status(thm)],[25288])).
% 25.66/17.39 tff(25290,plain,
% 25.66/17.39 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB164, bitIndex1) | (~v100(constB164)) | (~v129(constB164, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB164, bitIndex1) | (~v129(constB164, bitIndex1)) | (~v100(constB164)))),
% 25.66/17.39 inference(transitivity,[status(thm)],[25289, 25287])).
% 25.66/17.39 tff(25291,plain,
% 25.66/17.39 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB164, bitIndex1) | (~v100(constB164)) | (~v129(constB164, bitIndex1)))),
% 25.66/17.39 inference(quant_inst,[status(thm)],[])).
% 25.66/17.39 tff(25292,plain,
% 25.66/17.39 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB164, bitIndex1) | (~v129(constB164, bitIndex1)) | (~v100(constB164))),
% 25.66/17.39 inference(modus_ponens,[status(thm)],[25291, 25290])).
% 25.66/17.39 tff(25293,plain,
% 25.66/17.39 (v90(constB164, bitIndex1) | (~v100(constB164))),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25292, 1583, 25286])).
% 25.66/17.39 tff(25294,plain,
% 25.66/17.39 (v90(constB164, bitIndex1)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25293, 25223])).
% 25.66/17.39 tff(25295,plain,
% 25.66/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex1))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25296,plain,
% 25.66/17.39 (((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex1)) | v100(constB165) | v90(constB165, bitIndex1)) <=> ((~v90(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex1))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25297,plain,
% 25.66/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex1)) | v100(constB165) | v90(constB165, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex1)))),
% 25.66/17.39 inference(monotonicity,[status(thm)],[25296])).
% 25.66/17.39 tff(25298,plain,
% 25.66/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex1)) | v100(constB165) | v90(constB165, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex1))),
% 25.66/17.39 inference(transitivity,[status(thm)],[25297, 25295])).
% 25.66/17.39 tff(25299,plain,
% 25.66/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex1)) | v100(constB165) | v90(constB165, bitIndex1))),
% 25.66/17.39 inference(quant_inst,[status(thm)],[])).
% 25.66/17.39 tff(25300,plain,
% 25.66/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex1)),
% 25.66/17.39 inference(modus_ponens,[status(thm)],[25299, 25298])).
% 25.66/17.39 tff(25301,plain,
% 25.66/17.39 ((~v90(constB164, bitIndex1)) | v100(constB165) | v90(constB165, bitIndex1)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25300, 1601, 25251])).
% 25.66/17.39 tff(25302,plain,
% 25.66/17.39 ((~v90(constB164, bitIndex1)) | v90(constB165, bitIndex1)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25301, 25263])).
% 25.66/17.39 tff(25303,plain,
% 25.66/17.39 (v90(constB165, bitIndex1)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25302, 25294])).
% 25.66/17.39 tff(25304,plain,
% 25.66/17.39 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB163)) | (~v130(constB163, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB163)) | (~v130(constB163, bitIndex0)))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25305,plain,
% 25.66/17.39 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB163)) | (~v130(constB163, bitIndex0)))),
% 25.66/17.39 inference(quant_inst,[status(thm)],[])).
% 25.66/17.39 tff(25306,plain,
% 25.66/17.39 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB163)) | (~v130(constB163, bitIndex0))),
% 25.66/17.39 inference(modus_ponens,[status(thm)],[25305, 25304])).
% 25.66/17.39 tff(25307,plain,
% 25.66/17.39 (~v130(constB163, bitIndex0)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25306, 1617, 25155])).
% 25.66/17.39 tff(25308,plain,
% 25.66/17.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25309,plain,
% 25.66/17.39 ((v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0))) <=> ((~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25310,plain,
% 25.66/17.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0)))),
% 25.66/17.39 inference(monotonicity,[status(thm)],[25309])).
% 25.66/17.39 tff(25311,plain,
% 25.66/17.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))),
% 25.66/17.39 inference(transitivity,[status(thm)],[25310, 25308])).
% 25.66/17.39 tff(25312,plain,
% 25.66/17.39 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0)))),
% 25.66/17.39 inference(quant_inst,[status(thm)],[])).
% 25.66/17.39 tff(25313,plain,
% 25.66/17.39 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0)),
% 25.66/17.39 inference(modus_ponens,[status(thm)],[25312, 25311])).
% 25.66/17.39 tff(25314,plain,
% 25.66/17.39 ((~v127(constB163, bitIndex0)) | v130(constB163, bitIndex0)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25313, 1341, 25177])).
% 25.66/17.39 tff(25315,plain,
% 25.66/17.39 (~v127(constB163, bitIndex0)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25314, 25307])).
% 25.66/17.39 tff(25316,plain,
% 25.66/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0)))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25317,plain,
% 25.66/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0)))),
% 25.66/17.39 inference(quant_inst,[status(thm)],[])).
% 25.66/17.39 tff(25318,plain,
% 25.66/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0))),
% 25.66/17.39 inference(modus_ponens,[status(thm)],[25317, 25316])).
% 25.66/17.39 tff(25319,plain,
% 25.66/17.39 (v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0))),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25318, 1359, 25192])).
% 25.66/17.39 tff(25320,plain,
% 25.66/17.39 (~v129(constB164, bitIndex0)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25319, 25315])).
% 25.66/17.39 tff(25321,plain,
% 25.66/17.39 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25322,plain,
% 25.66/17.39 (((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0)) <=> ((~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25323,plain,
% 25.66/17.39 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164))))),
% 25.66/17.39 inference(monotonicity,[status(thm)],[25322])).
% 25.66/17.39 tff(25324,plain,
% 25.66/17.39 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))),
% 25.66/17.39 inference(transitivity,[status(thm)],[25323, 25321])).
% 25.66/17.39 tff(25325,plain,
% 25.66/17.39 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0))),
% 25.66/17.39 inference(quant_inst,[status(thm)],[])).
% 25.66/17.39 tff(25326,plain,
% 25.66/17.39 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164))),
% 25.66/17.39 inference(modus_ponens,[status(thm)],[25325, 25324])).
% 25.66/17.39 tff(25327,plain,
% 25.66/17.39 ((~v90(constB164, bitIndex0)) | (~v100(constB164))),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25326, 1374, 25320])).
% 25.66/17.39 tff(25328,plain,
% 25.66/17.39 (~v90(constB164, bitIndex0)),
% 25.66/17.39 inference(unit_resolution,[status(thm)],[25327, 25223])).
% 25.66/17.39 tff(25329,plain,
% 25.66/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25330,plain,
% 25.66/17.39 (((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0))) <=> (v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 25.66/17.39 inference(rewrite,[status(thm)],[])).
% 25.66/17.39 tff(25331,plain,
% 25.66/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0))))),
% 25.66/17.39 inference(monotonicity,[status(thm)],[25330])).
% 25.66/17.39 tff(25332,plain,
% 25.66/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 25.66/17.40 inference(transitivity,[status(thm)],[25331, 25329])).
% 25.66/17.40 tff(25333,plain,
% 25.66/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 25.66/17.40 inference(quant_inst,[status(thm)],[])).
% 25.66/17.40 tff(25334,plain,
% 25.66/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0))),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25333, 25332])).
% 25.66/17.40 tff(25335,plain,
% 25.66/17.40 (v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0))),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25334, 934, 25251])).
% 25.66/17.40 tff(25336,plain,
% 25.66/17.40 (v90(constB164, bitIndex0) | (~v90(constB165, bitIndex0))),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25335, 25263])).
% 25.66/17.40 tff(25337,plain,
% 25.66/17.40 (~v90(constB165, bitIndex0)),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25336, 25328])).
% 25.66/17.40 tff(25338,plain,
% 25.66/17.40 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)) | v125(constB165))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)) | v125(constB165))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25339,plain,
% 25.66/17.40 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)) | v125(constB165))),
% 25.66/17.40 inference(quant_inst,[status(thm)],[])).
% 25.66/17.40 tff(25340,plain,
% 25.66/17.40 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)) | v125(constB165)),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25339, 25338])).
% 25.66/17.40 tff(25341,plain,
% 25.66/17.40 (v125(constB165)),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25340, 1661, 25337, 25303, 25272])).
% 25.66/17.40 tff(25342,plain,
% 25.66/17.40 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB165) | (~v125(constB165)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB165) | (~v125(constB165)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25343,plain,
% 25.66/17.40 (((~v125(constB165)) | v113(constB165)) <=> (v113(constB165) | (~v125(constB165)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25344,plain,
% 25.66/17.40 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB165)) | v113(constB165))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB165) | (~v125(constB165))))),
% 25.66/17.40 inference(monotonicity,[status(thm)],[25343])).
% 25.66/17.40 tff(25345,plain,
% 25.66/17.40 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB165)) | v113(constB165))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB165) | (~v125(constB165)))),
% 25.66/17.40 inference(transitivity,[status(thm)],[25344, 25342])).
% 25.66/17.40 tff(25346,plain,
% 25.66/17.40 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB165)) | v113(constB165))),
% 25.66/17.40 inference(quant_inst,[status(thm)],[])).
% 25.66/17.40 tff(25347,plain,
% 25.66/17.40 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB165) | (~v125(constB165))),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25346, 25345])).
% 25.66/17.40 tff(25348,plain,
% 25.66/17.40 (v113(constB165)),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25347, 1672, 25341])).
% 25.66/17.40 tff(25349,assumption,(v26(constB165)), introduced(assumption)).
% 25.66/17.40 tff(25350,plain,
% 25.66/17.40 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB165))),
% 25.66/17.40 inference(quant_inst,[status(thm)],[])).
% 25.66/17.40 tff(25351,plain,
% 25.66/17.40 ($false),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25350, 797, 25349])).
% 25.66/17.40 tff(25352,plain,(~v26(constB165)), inference(lemma,lemma(discharge,[]))).
% 25.66/17.40 tff(25353,plain,
% 25.66/17.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | v112(constB165) | (~v113(constB165)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | v112(constB165) | (~v113(constB165)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25354,plain,
% 25.66/17.40 ((v26(constB165) | (~v113(constB165)) | v112(constB165)) <=> (v26(constB165) | v112(constB165) | (~v113(constB165)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25355,plain,
% 25.66/17.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | v112(constB165) | (~v113(constB165))))),
% 25.66/17.40 inference(monotonicity,[status(thm)],[25354])).
% 25.66/17.40 tff(25356,plain,
% 25.66/17.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | v112(constB165) | (~v113(constB165)))),
% 25.66/17.40 inference(transitivity,[status(thm)],[25355, 25353])).
% 25.66/17.40 tff(25357,plain,
% 25.66/17.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))),
% 25.66/17.40 inference(quant_inst,[status(thm)],[])).
% 25.66/17.40 tff(25358,plain,
% 25.66/17.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | v112(constB165) | (~v113(constB165))),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25357, 25356])).
% 25.66/17.40 tff(25359,plain,
% 25.66/17.40 (v112(constB165) | (~v113(constB165))),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25358, 1050, 25352])).
% 25.66/17.40 tff(25360,plain,
% 25.66/17.40 (v112(constB165)),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25359, 25348])).
% 25.66/17.40 tff(25361,plain,
% 25.66/17.40 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB165) | (~v112(constB165)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v112(constB165)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25362,plain,
% 25.66/17.40 (((~v112(constB165)) | v108(constB165)) <=> (v108(constB165) | (~v112(constB165)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25363,plain,
% 25.66/17.40 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB165)) | v108(constB165))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB165) | (~v112(constB165))))),
% 25.66/17.40 inference(monotonicity,[status(thm)],[25362])).
% 25.66/17.40 tff(25364,plain,
% 25.66/17.40 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB165)) | v108(constB165))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v112(constB165)))),
% 25.66/17.40 inference(transitivity,[status(thm)],[25363, 25361])).
% 25.66/17.40 tff(25365,plain,
% 25.66/17.40 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB165)) | v108(constB165))),
% 25.66/17.40 inference(quant_inst,[status(thm)],[])).
% 25.66/17.40 tff(25366,plain,
% 25.66/17.40 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v112(constB165))),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25365, 25364])).
% 25.66/17.40 tff(25367,plain,
% 25.66/17.40 (v108(constB165)),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25366, 1062, 25360])).
% 25.66/17.40 tff(25368,plain,
% 25.66/17.40 (nextState(constB165, constB166) <=> nextState(constB165, constB166)),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25369,axiom,(nextState(constB165, constB166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_165_1')).
% 25.66/17.40 tff(25370,plain,
% 25.66/17.40 (nextState(constB165, constB166)),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25369, 25368])).
% 25.66/17.40 tff(25371,plain,
% 25.66/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25372,plain,
% 25.66/17.40 (((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166)) <=> ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25373,plain,
% 25.66/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165))))),
% 25.66/17.40 inference(monotonicity,[status(thm)],[25372])).
% 25.66/17.40 tff(25374,plain,
% 25.66/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 25.66/17.40 inference(transitivity,[status(thm)],[25373, 25371])).
% 25.66/17.40 tff(25375,plain,
% 25.66/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))),
% 25.66/17.40 inference(quant_inst,[status(thm)],[])).
% 25.66/17.40 tff(25376,plain,
% 25.66/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165))),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25375, 25374])).
% 25.66/17.40 tff(25377,plain,
% 25.66/17.40 (v110(constB166) | (~v108(constB165))),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25376, 1082, 25370])).
% 25.66/17.40 tff(25378,plain,
% 25.66/17.40 (v110(constB166)),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25377, 25367])).
% 25.66/17.40 tff(25379,plain,
% 25.66/17.40 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25380,plain,
% 25.66/17.40 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))),
% 25.66/17.40 inference(quant_inst,[status(thm)],[])).
% 25.66/17.40 tff(25381,plain,
% 25.66/17.40 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166))),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25380, 25379])).
% 25.66/17.40 tff(25382,plain,
% 25.66/17.40 (~v104(constB166)),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25381, 1100, 25370, 25248])).
% 25.66/17.40 tff(25383,plain,
% 25.66/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25384,plain,
% 25.66/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))),
% 25.66/17.40 inference(quant_inst,[status(thm)],[])).
% 25.66/17.40 tff(25385,plain,
% 25.66/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v102(constB166) | v104(constB166)),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25384, 25383])).
% 25.66/17.40 tff(25386,plain,
% 25.66/17.40 (v102(constB166) | v104(constB166)),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25385, 1114, 25370])).
% 25.66/17.40 tff(25387,plain,
% 25.66/17.40 (v102(constB166)),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25386, 25382])).
% 25.66/17.40 tff(25388,plain,
% 25.66/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25389,plain,
% 25.66/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))),
% 25.66/17.40 inference(quant_inst,[status(thm)],[])).
% 25.66/17.40 tff(25390,plain,
% 25.66/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166))),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25389, 25388])).
% 25.66/17.40 tff(25391,plain,
% 25.66/17.40 (v101(constB166) | (~v102(constB166))),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25390, 1129, 25370, 295])).
% 25.66/17.40 tff(25392,plain,
% 25.66/17.40 (v101(constB166)),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25391, 25387])).
% 25.66/17.40 tff(25393,plain,
% 25.66/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25394,plain,
% 25.66/17.40 (((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166)) <=> ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25395,plain,
% 25.66/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166))))),
% 25.66/17.40 inference(monotonicity,[status(thm)],[25394])).
% 25.66/17.40 tff(25396,plain,
% 25.66/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 25.66/17.40 inference(transitivity,[status(thm)],[25395, 25393])).
% 25.66/17.40 tff(25397,plain,
% 25.66/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))),
% 25.66/17.40 inference(quant_inst,[status(thm)],[])).
% 25.66/17.40 tff(25398,plain,
% 25.66/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25397, 25396])).
% 25.66/17.40 tff(25399,plain,
% 25.66/17.40 (v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25398, 1144, 25370])).
% 25.66/17.40 tff(25400,plain,
% 25.66/17.40 (v100(constB166) | (~v110(constB166))),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25399, 25392])).
% 25.66/17.40 tff(25401,plain,
% 25.66/17.40 (v100(constB166)),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25400, 25378])).
% 25.66/17.40 tff(25402,plain,
% 25.66/17.40 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB165)) | (~v90(constB165, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB165)) | (~v90(constB165, bitIndex2)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25403,plain,
% 25.66/17.40 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB165)) | (~v90(constB165, bitIndex2)))),
% 25.66/17.40 inference(quant_inst,[status(thm)],[])).
% 25.66/17.40 tff(25404,plain,
% 25.66/17.40 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB165)) | (~v90(constB165, bitIndex2))),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25403, 25402])).
% 25.66/17.40 tff(25405,plain,
% 25.66/17.40 (~v121(constB165)),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25404, 1729, 25272])).
% 25.66/17.40 tff(25406,plain,
% 25.66/17.40 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB165)) | (~v90(constB165, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB165)) | (~v90(constB165, bitIndex2)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25407,plain,
% 25.66/17.40 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB165)) | (~v90(constB165, bitIndex2)))),
% 25.66/17.40 inference(quant_inst,[status(thm)],[])).
% 25.66/17.40 tff(25408,plain,
% 25.66/17.40 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB165)) | (~v90(constB165, bitIndex2))),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25407, 25406])).
% 25.66/17.40 tff(25409,plain,
% 25.66/17.40 (~v122(constB165)),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25408, 1740, 25272])).
% 25.66/17.40 tff(25410,plain,
% 25.66/17.40 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB165)) | (~v90(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB165)) | (~v90(constB165, bitIndex1)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25411,plain,
% 25.66/17.40 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB165)) | (~v90(constB165, bitIndex1)))),
% 25.66/17.40 inference(quant_inst,[status(thm)],[])).
% 25.66/17.40 tff(25412,plain,
% 25.66/17.40 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB165)) | (~v90(constB165, bitIndex1))),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25411, 25410])).
% 25.66/17.40 tff(25413,plain,
% 25.66/17.40 (~v120(constB165)),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25412, 1762, 25303])).
% 25.66/17.40 tff(25414,plain,
% 25.66/17.40 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB165)) | (~v90(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB165)) | (~v90(constB165, bitIndex1)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25415,plain,
% 25.66/17.40 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB165)) | (~v90(constB165, bitIndex1)))),
% 25.66/17.40 inference(quant_inst,[status(thm)],[])).
% 25.66/17.40 tff(25416,plain,
% 25.66/17.40 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB165)) | (~v90(constB165, bitIndex1))),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25415, 25414])).
% 25.66/17.40 tff(25417,plain,
% 25.66/17.40 (~v124(constB165)),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25416, 1784, 25303])).
% 25.66/17.40 tff(25418,plain,
% 25.66/17.40 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB165)) | (~v90(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB165)) | (~v90(constB165, bitIndex1)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25419,plain,
% 25.66/17.40 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB165)) | (~v90(constB165, bitIndex1)))),
% 25.66/17.40 inference(quant_inst,[status(thm)],[])).
% 25.66/17.40 tff(25420,plain,
% 25.66/17.40 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB165)) | (~v90(constB165, bitIndex1))),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25419, 25418])).
% 25.66/17.40 tff(25421,plain,
% 25.66/17.40 (~v119(constB165)),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25420, 1751, 25303])).
% 25.66/17.40 tff(25422,plain,
% 25.66/17.40 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB165)) | (~v90(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB165)) | (~v90(constB165, bitIndex1)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25423,plain,
% 25.66/17.40 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB165)) | (~v90(constB165, bitIndex1)))),
% 25.66/17.40 inference(quant_inst,[status(thm)],[])).
% 25.66/17.40 tff(25424,plain,
% 25.66/17.40 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB165)) | (~v90(constB165, bitIndex1))),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25423, 25422])).
% 25.66/17.40 tff(25425,plain,
% 25.66/17.40 (~v123(constB165)),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25424, 1773, 25303])).
% 25.66/17.40 tff(25426,plain,
% 25.66/17.40 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex2)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25427,plain,
% 25.66/17.40 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex2)))),
% 25.66/17.40 inference(quant_inst,[status(thm)],[])).
% 25.66/17.40 tff(25428,plain,
% 25.66/17.40 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex2))),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25427, 25426])).
% 25.66/17.40 tff(25429,plain,
% 25.66/17.40 (~v130(constB165, bitIndex2)),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25428, 1798, 25425, 25421, 25417, 25413, 25409, 25405])).
% 25.66/17.40 tff(25430,plain,
% 25.66/17.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB165, bitIndex2)) | v26(constB165) | v130(constB165, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB165, bitIndex2)) | v26(constB165) | v130(constB165, bitIndex2))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25431,plain,
% 25.66/17.40 ((v26(constB165) | v130(constB165, bitIndex2) | (~v127(constB165, bitIndex2))) <=> ((~v127(constB165, bitIndex2)) | v26(constB165) | v130(constB165, bitIndex2))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25432,plain,
% 25.66/17.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB165) | v130(constB165, bitIndex2) | (~v127(constB165, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB165, bitIndex2)) | v26(constB165) | v130(constB165, bitIndex2)))),
% 25.66/17.40 inference(monotonicity,[status(thm)],[25431])).
% 25.66/17.40 tff(25433,plain,
% 25.66/17.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB165) | v130(constB165, bitIndex2) | (~v127(constB165, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB165, bitIndex2)) | v26(constB165) | v130(constB165, bitIndex2))),
% 25.66/17.40 inference(transitivity,[status(thm)],[25432, 25430])).
% 25.66/17.40 tff(25434,plain,
% 25.66/17.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB165) | v130(constB165, bitIndex2) | (~v127(constB165, bitIndex2)))),
% 25.66/17.40 inference(quant_inst,[status(thm)],[])).
% 25.66/17.40 tff(25435,plain,
% 25.66/17.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB165, bitIndex2)) | v26(constB165) | v130(constB165, bitIndex2)),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25434, 25433])).
% 25.66/17.40 tff(25436,plain,
% 25.66/17.40 ((~v127(constB165, bitIndex2)) | v130(constB165, bitIndex2)),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25435, 1812, 25352])).
% 25.66/17.40 tff(25437,plain,
% 25.66/17.40 (~v127(constB165, bitIndex2)),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25436, 25429])).
% 25.66/17.40 tff(25438,plain,
% 25.66/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB165, constB166)) | v127(constB165, bitIndex2) | (~v129(constB166, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB165, constB166)) | v127(constB165, bitIndex2) | (~v129(constB166, bitIndex2)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25439,plain,
% 25.66/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB165, constB166)) | v127(constB165, bitIndex2) | (~v129(constB166, bitIndex2)))),
% 25.66/17.40 inference(quant_inst,[status(thm)],[])).
% 25.66/17.40 tff(25440,plain,
% 25.66/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB165, constB166)) | v127(constB165, bitIndex2) | (~v129(constB166, bitIndex2))),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25439, 25438])).
% 25.66/17.40 tff(25441,plain,
% 25.66/17.40 (v127(constB165, bitIndex2) | (~v129(constB166, bitIndex2))),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25440, 1830, 25370])).
% 25.66/17.40 tff(25442,plain,
% 25.66/17.40 (~v129(constB166, bitIndex2)),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25441, 25437])).
% 25.66/17.40 tff(25443,plain,
% 25.66/17.40 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB166, bitIndex2)) | v129(constB166, bitIndex2) | (~v100(constB166)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB166, bitIndex2)) | v129(constB166, bitIndex2) | (~v100(constB166)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25444,plain,
% 25.66/17.40 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB166, bitIndex2)) | v129(constB166, bitIndex2) | (~v100(constB166)))),
% 25.66/17.40 inference(quant_inst,[status(thm)],[])).
% 25.66/17.40 tff(25445,plain,
% 25.66/17.40 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB166, bitIndex2)) | v129(constB166, bitIndex2) | (~v100(constB166))),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25444, 25443])).
% 25.66/17.40 tff(25446,plain,
% 25.66/17.40 ((~v90(constB166, bitIndex2)) | (~v100(constB166))),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25445, 1845, 25442])).
% 25.66/17.40 tff(25447,plain,
% 25.66/17.40 (~v90(constB166, bitIndex2)),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25446, 25401])).
% 25.66/17.40 tff(25448,plain,
% 25.66/17.40 ((~v1(constB167)) <=> (~v1(constB167))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25449,axiom,(~v1(constB167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_167_1_1')).
% 25.66/17.40 tff(25450,plain,
% 25.66/17.40 (~v1(constB167)),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25449, 25448])).
% 25.66/17.40 tff(25451,plain,
% 25.66/17.40 (nextState(constB166, constB167) <=> nextState(constB166, constB167)),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25452,axiom,(nextState(constB166, constB167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_166_1')).
% 25.66/17.40 tff(25453,plain,
% 25.66/17.40 (nextState(constB166, constB167)),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25452, 25451])).
% 25.66/17.40 tff(25454,plain,
% 25.66/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25455,plain,
% 25.66/17.40 (((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167)) <=> (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25456,plain,
% 25.66/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167))))),
% 25.66/17.40 inference(monotonicity,[status(thm)],[25455])).
% 25.66/17.40 tff(25457,plain,
% 25.66/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 25.66/17.40 inference(transitivity,[status(thm)],[25456, 25454])).
% 25.66/17.40 tff(25458,plain,
% 25.66/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))),
% 25.66/17.40 inference(quant_inst,[status(thm)],[])).
% 25.66/17.40 tff(25459,plain,
% 25.66/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167))),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25458, 25457])).
% 25.66/17.40 tff(25460,plain,
% 25.66/17.40 (~v101(constB167)),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25459, 860, 25453, 25450])).
% 25.66/17.40 tff(25461,plain,
% 25.66/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25462,plain,
% 25.66/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))),
% 25.66/17.40 inference(quant_inst,[status(thm)],[])).
% 25.66/17.40 tff(25463,plain,
% 25.66/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167))),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25462, 25461])).
% 25.66/17.40 tff(25464,plain,
% 25.66/17.40 (v101(constB167) | (~v100(constB167))),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25463, 877, 25453])).
% 25.66/17.40 tff(25465,plain,
% 25.66/17.40 (~v100(constB167)),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25464, 25460])).
% 25.66/17.40 tff(25466,plain,
% 25.66/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex2)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25467,plain,
% 25.66/17.40 (((~nextState(constB166, constB167)) | v90(constB166, bitIndex2) | v100(constB167) | (~v90(constB167, bitIndex2))) <=> (v90(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex2)))),
% 25.66/17.40 inference(rewrite,[status(thm)],[])).
% 25.66/17.40 tff(25468,plain,
% 25.66/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex2) | v100(constB167) | (~v90(constB167, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex2))))),
% 25.66/17.40 inference(monotonicity,[status(thm)],[25467])).
% 25.66/17.40 tff(25469,plain,
% 25.66/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex2) | v100(constB167) | (~v90(constB167, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex2)))),
% 25.66/17.40 inference(transitivity,[status(thm)],[25468, 25466])).
% 25.66/17.40 tff(25470,plain,
% 25.66/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex2) | v100(constB167) | (~v90(constB167, bitIndex2)))),
% 25.66/17.40 inference(quant_inst,[status(thm)],[])).
% 25.66/17.40 tff(25471,plain,
% 25.66/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex2))),
% 25.66/17.40 inference(modus_ponens,[status(thm)],[25470, 25469])).
% 25.66/17.40 tff(25472,plain,
% 25.66/17.40 (v90(constB166, bitIndex2) | v100(constB167) | (~v90(constB167, bitIndex2))),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25471, 892, 25453])).
% 25.66/17.40 tff(25473,plain,
% 25.66/17.40 (v90(constB166, bitIndex2) | (~v90(constB167, bitIndex2))),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25472, 25465])).
% 25.66/17.40 tff(25474,plain,
% 25.66/17.40 (~v90(constB167, bitIndex2)),
% 25.66/17.40 inference(unit_resolution,[status(thm)],[25473, 25447])).
% 25.66/17.40 tff(25475,plain,
% 25.66/17.40 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex1)))),
% 25.66/17.41 inference(rewrite,[status(thm)],[])).
% 25.66/17.41 tff(25476,plain,
% 25.66/17.41 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex1)))),
% 25.66/17.41 inference(quant_inst,[status(thm)],[])).
% 25.66/17.41 tff(25477,plain,
% 25.66/17.41 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex1))),
% 25.66/17.41 inference(modus_ponens,[status(thm)],[25476, 25475])).
% 25.66/17.41 tff(25478,plain,
% 25.66/17.41 (~v130(constB165, bitIndex1)),
% 25.66/17.41 inference(unit_resolution,[status(thm)],[25477, 1887, 25425, 25421, 25417, 25413, 25409, 25405])).
% 25.66/17.41 tff(25479,plain,
% 25.66/17.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))),
% 25.66/17.41 inference(rewrite,[status(thm)],[])).
% 25.66/17.41 tff(25480,plain,
% 25.66/17.41 ((v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1))) <=> ((~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))),
% 25.66/17.41 inference(rewrite,[status(thm)],[])).
% 25.66/17.41 tff(25481,plain,
% 25.66/17.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1)))),
% 25.66/17.41 inference(monotonicity,[status(thm)],[25480])).
% 25.66/17.41 tff(25482,plain,
% 25.66/17.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))),
% 25.66/17.41 inference(transitivity,[status(thm)],[25481, 25479])).
% 25.66/17.41 tff(25483,plain,
% 25.66/17.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1)))),
% 25.66/17.41 inference(quant_inst,[status(thm)],[])).
% 25.66/17.41 tff(25484,plain,
% 25.66/17.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1)),
% 25.66/17.41 inference(modus_ponens,[status(thm)],[25483, 25482])).
% 25.66/17.41 tff(25485,plain,
% 25.66/17.41 ((~v127(constB165, bitIndex1)) | v130(constB165, bitIndex1)),
% 25.66/17.41 inference(unit_resolution,[status(thm)],[25484, 1270, 25352])).
% 25.66/17.41 tff(25486,plain,
% 25.66/17.41 (~v127(constB165, bitIndex1)),
% 25.66/17.41 inference(unit_resolution,[status(thm)],[25485, 25478])).
% 25.66/17.41 tff(25487,plain,
% 25.66/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1)))),
% 25.66/17.41 inference(rewrite,[status(thm)],[])).
% 25.66/17.41 tff(25488,plain,
% 25.66/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1)))),
% 25.66/17.41 inference(quant_inst,[status(thm)],[])).
% 25.66/17.41 tff(25489,plain,
% 25.66/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1))),
% 25.66/17.41 inference(modus_ponens,[status(thm)],[25488, 25487])).
% 25.66/17.41 tff(25490,plain,
% 25.66/17.41 (v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1))),
% 25.66/17.41 inference(unit_resolution,[status(thm)],[25489, 1288, 25370])).
% 25.66/17.41 tff(25491,plain,
% 25.66/17.41 (~v129(constB166, bitIndex1)),
% 25.66/17.41 inference(unit_resolution,[status(thm)],[25490, 25486])).
% 25.66/17.41 tff(25492,plain,
% 25.66/17.41 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))),
% 25.66/17.41 inference(rewrite,[status(thm)],[])).
% 25.66/17.41 tff(25493,plain,
% 25.66/17.41 (((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1)) <=> ((~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))),
% 25.66/17.41 inference(rewrite,[status(thm)],[])).
% 25.66/17.41 tff(25494,plain,
% 25.66/17.41 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166))))),
% 25.66/17.41 inference(monotonicity,[status(thm)],[25493])).
% 25.66/17.41 tff(25495,plain,
% 25.66/17.41 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))),
% 25.66/17.41 inference(transitivity,[status(thm)],[25494, 25492])).
% 25.66/17.41 tff(25496,plain,
% 25.66/17.41 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1))),
% 25.66/17.41 inference(quant_inst,[status(thm)],[])).
% 25.66/17.41 tff(25497,plain,
% 25.66/17.41 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166))),
% 25.66/17.41 inference(modus_ponens,[status(thm)],[25496, 25495])).
% 25.66/17.41 tff(25498,plain,
% 25.66/17.41 ((~v90(constB166, bitIndex1)) | (~v100(constB166))),
% 25.66/17.41 inference(unit_resolution,[status(thm)],[25497, 1303, 25491])).
% 25.66/17.41 tff(25499,plain,
% 25.66/17.41 (~v90(constB166, bitIndex1)),
% 25.66/17.41 inference(unit_resolution,[status(thm)],[25498, 25401])).
% 25.66/17.41 tff(25500,plain,
% 25.66/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 25.66/17.41 inference(rewrite,[status(thm)],[])).
% 25.66/17.41 tff(25501,plain,
% 25.66/17.41 (((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1))) <=> (v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 25.66/17.41 inference(rewrite,[status(thm)],[])).
% 25.66/17.41 tff(25502,plain,
% 25.66/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1))))),
% 25.66/17.41 inference(monotonicity,[status(thm)],[25501])).
% 25.66/17.41 tff(25503,plain,
% 25.66/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 25.66/17.41 inference(transitivity,[status(thm)],[25502, 25500])).
% 25.66/17.41 tff(25504,plain,
% 25.66/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 25.66/17.41 inference(quant_inst,[status(thm)],[])).
% 25.66/17.41 tff(25505,plain,
% 25.66/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1))),
% 25.66/17.41 inference(modus_ponens,[status(thm)],[25504, 25503])).
% 25.66/17.41 tff(25506,plain,
% 25.66/17.41 (v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1))),
% 25.66/17.41 inference(unit_resolution,[status(thm)],[25505, 913, 25453])).
% 25.66/17.41 tff(25507,plain,
% 25.66/17.41 (v90(constB166, bitIndex1) | (~v90(constB167, bitIndex1))),
% 25.66/17.41 inference(unit_resolution,[status(thm)],[25506, 25465])).
% 25.66/17.41 tff(25508,plain,
% 25.66/17.41 (~v90(constB167, bitIndex1)),
% 25.66/17.41 inference(unit_resolution,[status(thm)],[25507, 25499])).
% 25.66/17.41 tff(25509,plain,
% 25.66/17.41 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | v130(constB165, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | v130(constB165, bitIndex0))),
% 25.66/17.41 inference(rewrite,[status(thm)],[])).
% 25.66/17.41 tff(25510,plain,
% 25.66/17.41 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | v130(constB165, bitIndex0))),
% 25.66/17.41 inference(quant_inst,[status(thm)],[])).
% 25.66/17.41 tff(25511,plain,
% 25.66/17.41 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | v130(constB165, bitIndex0)),
% 25.66/17.41 inference(modus_ponens,[status(thm)],[25510, 25509])).
% 25.66/17.41 tff(25512,plain,
% 25.66/17.41 (v130(constB165, bitIndex0)),
% 25.66/17.41 inference(unit_resolution,[status(thm)],[25511, 1931, 25425, 25421, 25417, 25413, 25409, 25405])).
% 25.66/17.41 tff(25513,plain,
% 25.66/17.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0))),
% 25.66/17.41 inference(rewrite,[status(thm)],[])).
% 25.66/17.41 tff(25514,plain,
% 25.66/17.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0))),
% 25.66/17.41 inference(quant_inst,[status(thm)],[])).
% 25.66/17.41 tff(25515,plain,
% 25.66/17.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0)),
% 25.66/17.41 inference(modus_ponens,[status(thm)],[25514, 25513])).
% 25.66/17.41 tff(25516,plain,
% 25.66/17.41 ((~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0)),
% 25.66/17.41 inference(unit_resolution,[status(thm)],[25515, 1945, 25352])).
% 25.66/17.41 tff(25517,plain,
% 25.66/17.41 (v127(constB165, bitIndex0)),
% 25.66/17.41 inference(unit_resolution,[status(thm)],[25516, 25512])).
% 25.66/17.41 tff(25518,plain,
% 25.66/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0))),
% 25.66/17.41 inference(rewrite,[status(thm)],[])).
% 25.66/17.41 tff(25519,plain,
% 25.66/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0))),
% 25.66/17.41 inference(quant_inst,[status(thm)],[])).
% 25.66/17.41 tff(25520,plain,
% 25.66/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0)),
% 25.66/17.41 inference(modus_ponens,[status(thm)],[25519, 25518])).
% 25.66/17.41 tff(25521,plain,
% 25.66/17.41 ((~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0)),
% 25.66/17.41 inference(unit_resolution,[status(thm)],[25520, 1960, 25370])).
% 25.66/17.41 tff(25522,plain,
% 25.66/17.41 (v129(constB166, bitIndex0)),
% 25.66/17.41 inference(unit_resolution,[status(thm)],[25521, 25517])).
% 25.66/17.41 tff(25523,plain,
% 25.66/17.41 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))),
% 25.66/17.41 inference(rewrite,[status(thm)],[])).
% 25.66/17.41 tff(25524,plain,
% 25.66/17.41 ((v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0))) <=> (v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))),
% 25.66/17.41 inference(rewrite,[status(thm)],[])).
% 25.66/17.41 tff(25525,plain,
% 25.66/17.41 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166))))),
% 25.66/17.41 inference(monotonicity,[status(thm)],[25524])).
% 25.66/17.41 tff(25526,plain,
% 25.66/17.41 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))),
% 25.66/17.41 inference(transitivity,[status(thm)],[25525, 25523])).
% 25.70/17.41 tff(25527,plain,
% 25.70/17.41 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0)))),
% 25.70/17.41 inference(quant_inst,[status(thm)],[])).
% 25.70/17.41 tff(25528,plain,
% 25.70/17.41 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166))),
% 25.70/17.41 inference(modus_ponens,[status(thm)],[25527, 25526])).
% 25.70/17.41 tff(25529,plain,
% 25.70/17.41 (v90(constB166, bitIndex0) | (~v100(constB166))),
% 25.70/17.41 inference(unit_resolution,[status(thm)],[25528, 1975, 25522])).
% 25.70/17.41 tff(25530,plain,
% 25.70/17.41 (v90(constB166, bitIndex0)),
% 25.70/17.41 inference(unit_resolution,[status(thm)],[25529, 25401])).
% 25.70/17.41 tff(25531,plain,
% 25.70/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))),
% 25.70/17.41 inference(rewrite,[status(thm)],[])).
% 25.70/17.41 tff(25532,plain,
% 25.70/17.41 (((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0)) <=> ((~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))),
% 25.70/17.41 inference(rewrite,[status(thm)],[])).
% 25.70/17.41 tff(25533,plain,
% 25.70/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0)))),
% 25.70/17.41 inference(monotonicity,[status(thm)],[25532])).
% 25.70/17.41 tff(25534,plain,
% 25.70/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))),
% 25.70/17.41 inference(transitivity,[status(thm)],[25533, 25531])).
% 25.70/17.41 tff(25535,plain,
% 25.70/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0))),
% 25.70/17.41 inference(quant_inst,[status(thm)],[])).
% 25.70/17.41 tff(25536,plain,
% 25.70/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0)),
% 25.70/17.41 inference(modus_ponens,[status(thm)],[25535, 25534])).
% 25.70/17.41 tff(25537,plain,
% 25.70/17.41 ((~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0)),
% 25.70/17.41 inference(unit_resolution,[status(thm)],[25536, 1993, 25453])).
% 25.70/17.41 tff(25538,plain,
% 25.70/17.41 ((~v90(constB166, bitIndex0)) | v90(constB167, bitIndex0)),
% 25.70/17.41 inference(unit_resolution,[status(thm)],[25537, 25465])).
% 25.70/17.41 tff(25539,plain,
% 25.70/17.41 (v90(constB167, bitIndex0)),
% 25.70/17.41 inference(unit_resolution,[status(thm)],[25538, 25530])).
% 25.70/17.41 tff(25540,plain,
% 25.70/17.41 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v120(constB167))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v120(constB167))),
% 25.70/17.41 inference(rewrite,[status(thm)],[])).
% 25.70/17.41 tff(25541,plain,
% 25.70/17.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v120(constB167))),
% 25.70/17.41 inference(quant_inst,[status(thm)],[])).
% 25.70/17.41 tff(25542,plain,
% 25.70/17.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v120(constB167)),
% 25.70/17.41 inference(modus_ponens,[status(thm)],[25541, 25540])).
% 25.70/17.41 tff(25543,plain,
% 25.70/17.41 (v120(constB167)),
% 25.70/17.41 inference(unit_resolution,[status(thm)],[25542, 2012, 25539, 25508, 25474])).
% 25.70/17.41 tff(25544,plain,
% 25.70/17.41 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB167)) | v118(constB167))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB167)) | v118(constB167))),
% 25.70/17.41 inference(rewrite,[status(thm)],[])).
% 25.70/17.41 tff(25545,plain,
% 25.70/17.41 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB167)) | v118(constB167))),
% 25.70/17.41 inference(quant_inst,[status(thm)],[])).
% 25.70/17.41 tff(25546,plain,
% 25.70/17.41 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB167)) | v118(constB167)),
% 25.70/17.41 inference(modus_ponens,[status(thm)],[25545, 25544])).
% 25.70/17.41 tff(25547,plain,
% 25.70/17.41 (v118(constB167)),
% 25.70/17.41 inference(unit_resolution,[status(thm)],[25546, 2210, 25543])).
% 25.70/17.41 tff(25548,plain,
% 25.70/17.41 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB167)) | v117(constB167))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB167)) | v117(constB167))),
% 25.70/17.41 inference(rewrite,[status(thm)],[])).
% 25.70/17.41 tff(25549,plain,
% 25.70/17.41 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB167)) | v117(constB167))),
% 25.70/17.41 inference(quant_inst,[status(thm)],[])).
% 25.70/17.41 tff(25550,plain,
% 25.70/17.41 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB167)) | v117(constB167)),
% 25.70/17.41 inference(modus_ponens,[status(thm)],[25549, 25548])).
% 25.70/17.41 tff(25551,plain,
% 25.70/17.41 (v117(constB167)),
% 25.70/17.41 inference(unit_resolution,[status(thm)],[25550, 980, 25547])).
% 25.70/17.41 tff(25552,plain,
% 25.70/17.41 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB167) | (~v117(constB167)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB167) | (~v117(constB167)))),
% 25.70/17.41 inference(rewrite,[status(thm)],[])).
% 25.70/17.41 tff(25553,plain,
% 25.70/17.41 (((~v117(constB167)) | v116(constB167)) <=> (v116(constB167) | (~v117(constB167)))),
% 25.70/17.41 inference(rewrite,[status(thm)],[])).
% 25.70/17.41 tff(25554,plain,
% 25.70/17.41 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB167)) | v116(constB167))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB167) | (~v117(constB167))))),
% 25.70/17.41 inference(monotonicity,[status(thm)],[25553])).
% 25.70/17.41 tff(25555,plain,
% 25.70/17.41 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB167)) | v116(constB167))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB167) | (~v117(constB167)))),
% 25.70/17.41 inference(transitivity,[status(thm)],[25554, 25552])).
% 25.70/17.41 tff(25556,plain,
% 25.70/17.41 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB167)) | v116(constB167))),
% 25.70/17.41 inference(quant_inst,[status(thm)],[])).
% 25.70/17.41 tff(25557,plain,
% 25.70/17.41 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB167) | (~v117(constB167))),
% 25.70/17.41 inference(modus_ponens,[status(thm)],[25556, 25555])).
% 25.70/17.41 tff(25558,plain,
% 25.70/17.41 (v116(constB167)),
% 25.70/17.41 inference(unit_resolution,[status(thm)],[25557, 994, 25551])).
% 25.70/17.41 tff(25559,plain,
% 25.70/17.41 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB167) | (~v116(constB167)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB167) | (~v116(constB167)))),
% 25.70/17.41 inference(rewrite,[status(thm)],[])).
% 25.70/17.41 tff(25560,plain,
% 25.70/17.41 (((~v116(constB167)) | v115(constB167)) <=> (v115(constB167) | (~v116(constB167)))),
% 25.70/17.41 inference(rewrite,[status(thm)],[])).
% 25.70/17.41 tff(25561,plain,
% 25.70/17.41 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB167)) | v115(constB167))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB167) | (~v116(constB167))))),
% 25.70/17.41 inference(monotonicity,[status(thm)],[25560])).
% 25.70/17.41 tff(25562,plain,
% 25.70/17.41 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB167)) | v115(constB167))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB167) | (~v116(constB167)))),
% 25.70/17.41 inference(transitivity,[status(thm)],[25561, 25559])).
% 25.70/17.41 tff(25563,plain,
% 25.70/17.41 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB167)) | v115(constB167))),
% 25.70/17.41 inference(quant_inst,[status(thm)],[])).
% 25.70/17.41 tff(25564,plain,
% 25.70/17.41 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB167) | (~v116(constB167))),
% 25.70/17.41 inference(modus_ponens,[status(thm)],[25563, 25562])).
% 25.70/17.41 tff(25565,plain,
% 25.70/17.41 (v115(constB167)),
% 25.70/17.41 inference(unit_resolution,[status(thm)],[25564, 1008, 25558])).
% 25.70/17.41 tff(25566,plain,
% 25.70/17.41 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB167) | (~v115(constB167)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB167) | (~v115(constB167)))),
% 25.70/17.41 inference(rewrite,[status(thm)],[])).
% 25.70/17.41 tff(25567,plain,
% 25.70/17.41 (((~v115(constB167)) | v114(constB167)) <=> (v114(constB167) | (~v115(constB167)))),
% 25.70/17.41 inference(rewrite,[status(thm)],[])).
% 25.70/17.41 tff(25568,plain,
% 25.70/17.41 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB167)) | v114(constB167))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB167) | (~v115(constB167))))),
% 25.70/17.41 inference(monotonicity,[status(thm)],[25567])).
% 25.70/17.41 tff(25569,plain,
% 25.70/17.41 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB167)) | v114(constB167))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB167) | (~v115(constB167)))),
% 25.70/17.41 inference(transitivity,[status(thm)],[25568, 25566])).
% 25.70/17.41 tff(25570,plain,
% 25.70/17.41 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB167)) | v114(constB167))),
% 25.70/17.41 inference(quant_inst,[status(thm)],[])).
% 25.70/17.41 tff(25571,plain,
% 25.70/17.41 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB167) | (~v115(constB167))),
% 25.70/17.41 inference(modus_ponens,[status(thm)],[25570, 25569])).
% 25.70/17.41 tff(25572,plain,
% 25.70/17.41 (v114(constB167)),
% 25.70/17.41 inference(unit_resolution,[status(thm)],[25571, 1022, 25565])).
% 25.70/17.41 tff(25573,plain,
% 25.70/17.41 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB167) | (~v114(constB167)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB167) | (~v114(constB167)))),
% 25.70/17.41 inference(rewrite,[status(thm)],[])).
% 25.70/17.41 tff(25574,plain,
% 25.70/17.41 (((~v114(constB167)) | v113(constB167)) <=> (v113(constB167) | (~v114(constB167)))),
% 25.70/17.41 inference(rewrite,[status(thm)],[])).
% 25.70/17.41 tff(25575,plain,
% 25.70/17.41 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB167)) | v113(constB167))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB167) | (~v114(constB167))))),
% 25.70/17.41 inference(monotonicity,[status(thm)],[25574])).
% 25.70/17.41 tff(25576,plain,
% 25.70/17.41 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB167)) | v113(constB167))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB167) | (~v114(constB167)))),
% 25.70/17.41 inference(transitivity,[status(thm)],[25575, 25573])).
% 25.70/17.41 tff(25577,plain,
% 25.70/17.41 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB167)) | v113(constB167))),
% 25.70/17.41 inference(quant_inst,[status(thm)],[])).
% 25.70/17.41 tff(25578,plain,
% 25.70/17.41 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB167) | (~v114(constB167))),
% 25.70/17.41 inference(modus_ponens,[status(thm)],[25577, 25576])).
% 25.70/17.41 tff(25579,plain,
% 25.70/17.41 (v113(constB167)),
% 25.70/17.41 inference(unit_resolution,[status(thm)],[25578, 1036, 25572])).
% 25.70/17.41 tff(25580,assumption,(v26(constB167)), introduced(assumption)).
% 25.70/17.41 tff(25581,plain,
% 25.70/17.41 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB167))),
% 25.70/17.41 inference(quant_inst,[status(thm)],[])).
% 25.70/17.41 tff(25582,plain,
% 25.70/17.41 ($false),
% 25.70/17.41 inference(unit_resolution,[status(thm)],[25581, 797, 25580])).
% 25.70/17.41 tff(25583,plain,(~v26(constB167)), inference(lemma,lemma(discharge,[]))).
% 25.70/17.41 tff(25584,plain,
% 25.70/17.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | v112(constB167) | (~v113(constB167)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 25.70/17.41 inference(rewrite,[status(thm)],[])).
% 25.70/17.41 tff(25585,plain,
% 25.70/17.41 ((v26(constB167) | (~v113(constB167)) | v112(constB167)) <=> (v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 25.70/17.41 inference(rewrite,[status(thm)],[])).
% 25.70/17.41 tff(25586,plain,
% 25.70/17.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | v112(constB167) | (~v113(constB167))))),
% 25.70/17.41 inference(monotonicity,[status(thm)],[25585])).
% 25.70/17.41 tff(25587,plain,
% 25.70/17.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 25.70/17.41 inference(transitivity,[status(thm)],[25586, 25584])).
% 25.70/17.41 tff(25588,plain,
% 25.70/17.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))),
% 25.70/17.41 inference(quant_inst,[status(thm)],[])).
% 25.70/17.41 tff(25589,plain,
% 25.70/17.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167))),
% 25.70/17.41 inference(modus_ponens,[status(thm)],[25588, 25587])).
% 25.70/17.41 tff(25590,plain,
% 25.70/17.41 (v112(constB167) | (~v113(constB167))),
% 25.70/17.41 inference(unit_resolution,[status(thm)],[25589, 1050, 25583])).
% 25.70/17.41 tff(25591,plain,
% 25.70/17.41 (v112(constB167)),
% 25.70/17.41 inference(unit_resolution,[status(thm)],[25590, 25579])).
% 25.70/17.41 tff(25592,plain,
% 25.70/17.41 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB167) | (~v112(constB167)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v112(constB167)))),
% 25.70/17.41 inference(rewrite,[status(thm)],[])).
% 25.70/17.41 tff(25593,plain,
% 25.70/17.41 (((~v112(constB167)) | v108(constB167)) <=> (v108(constB167) | (~v112(constB167)))),
% 25.70/17.41 inference(rewrite,[status(thm)],[])).
% 25.70/17.41 tff(25594,plain,
% 25.70/17.41 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB167)) | v108(constB167))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB167) | (~v112(constB167))))),
% 25.70/17.41 inference(monotonicity,[status(thm)],[25593])).
% 25.70/17.41 tff(25595,plain,
% 25.70/17.41 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB167)) | v108(constB167))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v112(constB167)))),
% 25.70/17.41 inference(transitivity,[status(thm)],[25594, 25592])).
% 25.70/17.41 tff(25596,plain,
% 25.70/17.41 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB167)) | v108(constB167))),
% 25.70/17.41 inference(quant_inst,[status(thm)],[])).
% 25.70/17.41 tff(25597,plain,
% 25.70/17.41 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v112(constB167))),
% 25.70/17.41 inference(modus_ponens,[status(thm)],[25596, 25595])).
% 25.70/17.41 tff(25598,plain,
% 25.70/17.41 (v108(constB167)),
% 25.70/17.41 inference(unit_resolution,[status(thm)],[25597, 1062, 25591])).
% 25.70/17.41 tff(25599,plain,
% 25.70/17.41 (nextState(constB167, constB168) <=> nextState(constB167, constB168)),
% 25.70/17.41 inference(rewrite,[status(thm)],[])).
% 25.70/17.41 tff(25600,axiom,(nextState(constB167, constB168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_167_1')).
% 25.70/17.41 tff(25601,plain,
% 25.70/17.41 (nextState(constB167, constB168)),
% 25.70/17.41 inference(modus_ponens,[status(thm)],[25600, 25599])).
% 25.70/17.41 tff(25602,plain,
% 25.70/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 25.70/17.41 inference(rewrite,[status(thm)],[])).
% 25.70/17.41 tff(25603,plain,
% 25.70/17.41 (((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168)) <=> ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 25.70/17.41 inference(rewrite,[status(thm)],[])).
% 25.70/17.41 tff(25604,plain,
% 25.70/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167))))),
% 25.70/17.41 inference(monotonicity,[status(thm)],[25603])).
% 25.70/17.41 tff(25605,plain,
% 25.70/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 25.70/17.41 inference(transitivity,[status(thm)],[25604, 25602])).
% 25.70/17.41 tff(25606,plain,
% 25.70/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))),
% 25.70/17.41 inference(quant_inst,[status(thm)],[])).
% 25.70/17.41 tff(25607,plain,
% 25.70/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167))),
% 25.70/17.41 inference(modus_ponens,[status(thm)],[25606, 25605])).
% 25.70/17.41 tff(25608,plain,
% 25.70/17.41 (v110(constB168) | (~v108(constB167))),
% 25.70/17.41 inference(unit_resolution,[status(thm)],[25607, 1082, 25601])).
% 25.70/17.41 tff(25609,plain,
% 25.70/17.41 (v110(constB168)),
% 25.70/17.41 inference(unit_resolution,[status(thm)],[25608, 25598])).
% 25.70/17.41 tff(25610,plain,
% 25.70/17.41 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))),
% 25.70/17.41 inference(rewrite,[status(thm)],[])).
% 25.70/17.41 tff(25611,plain,
% 25.70/17.41 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))),
% 25.70/17.41 inference(quant_inst,[status(thm)],[])).
% 25.70/17.41 tff(25612,plain,
% 25.70/17.41 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168))),
% 25.70/17.41 inference(modus_ponens,[status(thm)],[25611, 25610])).
% 25.70/17.41 tff(25613,plain,
% 25.70/17.41 (~v104(constB168)),
% 25.70/17.41 inference(unit_resolution,[status(thm)],[25612, 1100, 25601, 25450])).
% 25.70/17.41 tff(25614,plain,
% 25.70/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25615,plain,
% 25.70/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))),
% 25.70/17.42 inference(quant_inst,[status(thm)],[])).
% 25.70/17.42 tff(25616,plain,
% 25.70/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v102(constB168) | v104(constB168)),
% 25.70/17.42 inference(modus_ponens,[status(thm)],[25615, 25614])).
% 25.70/17.42 tff(25617,plain,
% 25.70/17.42 (v102(constB168) | v104(constB168)),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25616, 1114, 25601])).
% 25.70/17.42 tff(25618,plain,
% 25.70/17.42 (v102(constB168)),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25617, 25613])).
% 25.70/17.42 tff(25619,plain,
% 25.70/17.42 (v1(constB168) <=> v1(constB168)),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25620,axiom,(v1(constB168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_168_1')).
% 25.70/17.42 tff(25621,plain,
% 25.70/17.42 (v1(constB168)),
% 25.70/17.42 inference(modus_ponens,[status(thm)],[25620, 25619])).
% 25.70/17.42 tff(25622,plain,
% 25.70/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25623,plain,
% 25.70/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))),
% 25.70/17.42 inference(quant_inst,[status(thm)],[])).
% 25.70/17.42 tff(25624,plain,
% 25.70/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168))),
% 25.70/17.42 inference(modus_ponens,[status(thm)],[25623, 25622])).
% 25.70/17.42 tff(25625,plain,
% 25.70/17.42 (v101(constB168) | (~v102(constB168))),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25624, 1129, 25601, 25621])).
% 25.70/17.42 tff(25626,plain,
% 25.70/17.42 (v101(constB168)),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25625, 25618])).
% 25.70/17.42 tff(25627,plain,
% 25.70/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25628,plain,
% 25.70/17.42 (((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168)) <=> ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25629,plain,
% 25.70/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168))))),
% 25.70/17.42 inference(monotonicity,[status(thm)],[25628])).
% 25.70/17.42 tff(25630,plain,
% 25.70/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 25.70/17.42 inference(transitivity,[status(thm)],[25629, 25627])).
% 25.70/17.42 tff(25631,plain,
% 25.70/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))),
% 25.70/17.42 inference(quant_inst,[status(thm)],[])).
% 25.70/17.42 tff(25632,plain,
% 25.70/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 25.70/17.42 inference(modus_ponens,[status(thm)],[25631, 25630])).
% 25.70/17.42 tff(25633,plain,
% 25.70/17.42 (v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25632, 1144, 25601])).
% 25.70/17.42 tff(25634,plain,
% 25.70/17.42 (v100(constB168) | (~v110(constB168))),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25633, 25626])).
% 25.70/17.42 tff(25635,plain,
% 25.70/17.42 (v100(constB168)),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25634, 25609])).
% 25.70/17.42 tff(25636,plain,
% 25.70/17.42 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB167)) | (~v130(constB167, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB167)) | (~v130(constB167, bitIndex2)))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25637,plain,
% 25.70/17.42 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB167)) | (~v130(constB167, bitIndex2)))),
% 25.70/17.42 inference(quant_inst,[status(thm)],[])).
% 25.70/17.42 tff(25638,plain,
% 25.70/17.42 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB167)) | (~v130(constB167, bitIndex2))),
% 25.70/17.42 inference(modus_ponens,[status(thm)],[25637, 25636])).
% 25.70/17.42 tff(25639,plain,
% 25.70/17.42 (~v130(constB167, bitIndex2)),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25638, 2231, 25543])).
% 25.70/17.42 tff(25640,plain,
% 25.70/17.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB167, bitIndex2)) | v26(constB167) | v130(constB167, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB167, bitIndex2)) | v26(constB167) | v130(constB167, bitIndex2))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25641,plain,
% 25.70/17.42 ((v26(constB167) | v130(constB167, bitIndex2) | (~v127(constB167, bitIndex2))) <=> ((~v127(constB167, bitIndex2)) | v26(constB167) | v130(constB167, bitIndex2))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25642,plain,
% 25.70/17.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB167) | v130(constB167, bitIndex2) | (~v127(constB167, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB167, bitIndex2)) | v26(constB167) | v130(constB167, bitIndex2)))),
% 25.70/17.42 inference(monotonicity,[status(thm)],[25641])).
% 25.70/17.42 tff(25643,plain,
% 25.70/17.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB167) | v130(constB167, bitIndex2) | (~v127(constB167, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB167, bitIndex2)) | v26(constB167) | v130(constB167, bitIndex2))),
% 25.70/17.42 inference(transitivity,[status(thm)],[25642, 25640])).
% 25.70/17.42 tff(25644,plain,
% 25.70/17.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB167) | v130(constB167, bitIndex2) | (~v127(constB167, bitIndex2)))),
% 25.70/17.42 inference(quant_inst,[status(thm)],[])).
% 25.70/17.42 tff(25645,plain,
% 25.70/17.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB167, bitIndex2)) | v26(constB167) | v130(constB167, bitIndex2)),
% 25.70/17.42 inference(modus_ponens,[status(thm)],[25644, 25643])).
% 25.70/17.42 tff(25646,plain,
% 25.70/17.42 ((~v127(constB167, bitIndex2)) | v130(constB167, bitIndex2)),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25645, 1812, 25583])).
% 25.70/17.42 tff(25647,plain,
% 25.70/17.42 (~v127(constB167, bitIndex2)),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25646, 25639])).
% 25.70/17.42 tff(25648,plain,
% 25.70/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB167, constB168)) | v127(constB167, bitIndex2) | (~v129(constB168, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB167, constB168)) | v127(constB167, bitIndex2) | (~v129(constB168, bitIndex2)))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25649,plain,
% 25.70/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB167, constB168)) | v127(constB167, bitIndex2) | (~v129(constB168, bitIndex2)))),
% 25.70/17.42 inference(quant_inst,[status(thm)],[])).
% 25.70/17.42 tff(25650,plain,
% 25.70/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB167, constB168)) | v127(constB167, bitIndex2) | (~v129(constB168, bitIndex2))),
% 25.70/17.42 inference(modus_ponens,[status(thm)],[25649, 25648])).
% 25.70/17.42 tff(25651,plain,
% 25.70/17.42 (v127(constB167, bitIndex2) | (~v129(constB168, bitIndex2))),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25650, 1830, 25601])).
% 25.70/17.42 tff(25652,plain,
% 25.70/17.42 (~v129(constB168, bitIndex2)),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25651, 25647])).
% 25.70/17.42 tff(25653,plain,
% 25.70/17.42 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB168, bitIndex2)) | v129(constB168, bitIndex2) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB168, bitIndex2)) | v129(constB168, bitIndex2) | (~v100(constB168)))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25654,plain,
% 25.70/17.42 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB168, bitIndex2)) | v129(constB168, bitIndex2) | (~v100(constB168)))),
% 25.70/17.42 inference(quant_inst,[status(thm)],[])).
% 25.70/17.42 tff(25655,plain,
% 25.70/17.42 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB168, bitIndex2)) | v129(constB168, bitIndex2) | (~v100(constB168))),
% 25.70/17.42 inference(modus_ponens,[status(thm)],[25654, 25653])).
% 25.70/17.42 tff(25656,plain,
% 25.70/17.42 ((~v90(constB168, bitIndex2)) | (~v100(constB168))),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25655, 1845, 25652])).
% 25.70/17.42 tff(25657,plain,
% 25.70/17.42 (~v90(constB168, bitIndex2)),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25656, 25635])).
% 25.70/17.42 tff(25658,plain,
% 25.70/17.42 ((~v1(constB169)) <=> (~v1(constB169))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25659,axiom,(~v1(constB169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_169_1_1')).
% 25.70/17.42 tff(25660,plain,
% 25.70/17.42 (~v1(constB169)),
% 25.70/17.42 inference(modus_ponens,[status(thm)],[25659, 25658])).
% 25.70/17.42 tff(25661,plain,
% 25.70/17.42 (nextState(constB168, constB169) <=> nextState(constB168, constB169)),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25662,axiom,(nextState(constB168, constB169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_168_1')).
% 25.70/17.42 tff(25663,plain,
% 25.70/17.42 (nextState(constB168, constB169)),
% 25.70/17.42 inference(modus_ponens,[status(thm)],[25662, 25661])).
% 25.70/17.42 tff(25664,plain,
% 25.70/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25665,plain,
% 25.70/17.42 (((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169)) <=> (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25666,plain,
% 25.70/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169))))),
% 25.70/17.42 inference(monotonicity,[status(thm)],[25665])).
% 25.70/17.42 tff(25667,plain,
% 25.70/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 25.70/17.42 inference(transitivity,[status(thm)],[25666, 25664])).
% 25.70/17.42 tff(25668,plain,
% 25.70/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))),
% 25.70/17.42 inference(quant_inst,[status(thm)],[])).
% 25.70/17.42 tff(25669,plain,
% 25.70/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169))),
% 25.70/17.42 inference(modus_ponens,[status(thm)],[25668, 25667])).
% 25.70/17.42 tff(25670,plain,
% 25.70/17.42 (~v101(constB169)),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25669, 860, 25663, 25660])).
% 25.70/17.42 tff(25671,plain,
% 25.70/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25672,plain,
% 25.70/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))),
% 25.70/17.42 inference(quant_inst,[status(thm)],[])).
% 25.70/17.42 tff(25673,plain,
% 25.70/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169))),
% 25.70/17.42 inference(modus_ponens,[status(thm)],[25672, 25671])).
% 25.70/17.42 tff(25674,plain,
% 25.70/17.42 (v101(constB169) | (~v100(constB169))),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25673, 877, 25663])).
% 25.70/17.42 tff(25675,plain,
% 25.70/17.42 (~v100(constB169)),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25674, 25670])).
% 25.70/17.42 tff(25676,plain,
% 25.70/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex2)))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25677,plain,
% 25.70/17.42 (((~nextState(constB168, constB169)) | v90(constB168, bitIndex2) | v100(constB169) | (~v90(constB169, bitIndex2))) <=> (v90(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex2)))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25678,plain,
% 25.70/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex2) | v100(constB169) | (~v90(constB169, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex2))))),
% 25.70/17.42 inference(monotonicity,[status(thm)],[25677])).
% 25.70/17.42 tff(25679,plain,
% 25.70/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex2) | v100(constB169) | (~v90(constB169, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex2)))),
% 25.70/17.42 inference(transitivity,[status(thm)],[25678, 25676])).
% 25.70/17.42 tff(25680,plain,
% 25.70/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex2) | v100(constB169) | (~v90(constB169, bitIndex2)))),
% 25.70/17.42 inference(quant_inst,[status(thm)],[])).
% 25.70/17.42 tff(25681,plain,
% 25.70/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex2))),
% 25.70/17.42 inference(modus_ponens,[status(thm)],[25680, 25679])).
% 25.70/17.42 tff(25682,plain,
% 25.70/17.42 (v90(constB168, bitIndex2) | v100(constB169) | (~v90(constB169, bitIndex2))),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25681, 892, 25663])).
% 25.70/17.42 tff(25683,plain,
% 25.70/17.42 (v90(constB168, bitIndex2) | (~v90(constB169, bitIndex2))),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25682, 25675])).
% 25.70/17.42 tff(25684,plain,
% 25.70/17.42 (~v90(constB169, bitIndex2)),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25683, 25657])).
% 25.70/17.42 tff(25685,plain,
% 25.70/17.42 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB167)) | v130(constB167, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB167)) | v130(constB167, bitIndex1))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25686,plain,
% 25.70/17.42 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB167)) | v130(constB167, bitIndex1))),
% 25.70/17.42 inference(quant_inst,[status(thm)],[])).
% 25.70/17.42 tff(25687,plain,
% 25.70/17.42 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB167)) | v130(constB167, bitIndex1)),
% 25.70/17.42 inference(modus_ponens,[status(thm)],[25686, 25685])).
% 25.70/17.42 tff(25688,plain,
% 25.70/17.42 (v130(constB167, bitIndex1)),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25687, 2034, 25543])).
% 25.70/17.42 tff(25689,plain,
% 25.70/17.42 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25690,plain,
% 25.70/17.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1))),
% 25.70/17.42 inference(quant_inst,[status(thm)],[])).
% 25.70/17.42 tff(25691,plain,
% 25.70/17.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1)),
% 25.70/17.42 inference(modus_ponens,[status(thm)],[25690, 25689])).
% 25.70/17.42 tff(25692,plain,
% 25.70/17.42 ((~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1)),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25691, 1553, 25583])).
% 25.70/17.42 tff(25693,plain,
% 25.70/17.42 (v127(constB167, bitIndex1)),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25692, 25688])).
% 25.70/17.42 tff(25694,plain,
% 25.70/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25695,plain,
% 25.70/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1))),
% 25.70/17.42 inference(quant_inst,[status(thm)],[])).
% 25.70/17.42 tff(25696,plain,
% 25.70/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1)),
% 25.70/17.42 inference(modus_ponens,[status(thm)],[25695, 25694])).
% 25.70/17.42 tff(25697,plain,
% 25.70/17.42 ((~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1)),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25696, 1568, 25601])).
% 25.70/17.42 tff(25698,plain,
% 25.70/17.42 (v129(constB168, bitIndex1)),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25697, 25693])).
% 25.70/17.42 tff(25699,plain,
% 25.70/17.42 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25700,plain,
% 25.70/17.42 ((v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1))) <=> (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25701,plain,
% 25.70/17.42 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168))))),
% 25.70/17.42 inference(monotonicity,[status(thm)],[25700])).
% 25.70/17.42 tff(25702,plain,
% 25.70/17.42 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))),
% 25.70/17.42 inference(transitivity,[status(thm)],[25701, 25699])).
% 25.70/17.42 tff(25703,plain,
% 25.70/17.42 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1)))),
% 25.70/17.42 inference(quant_inst,[status(thm)],[])).
% 25.70/17.42 tff(25704,plain,
% 25.70/17.42 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168))),
% 25.70/17.42 inference(modus_ponens,[status(thm)],[25703, 25702])).
% 25.70/17.42 tff(25705,plain,
% 25.70/17.42 (v90(constB168, bitIndex1) | (~v100(constB168))),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25704, 1583, 25698])).
% 25.70/17.42 tff(25706,plain,
% 25.70/17.42 (v90(constB168, bitIndex1)),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25705, 25635])).
% 25.70/17.42 tff(25707,plain,
% 25.70/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25708,plain,
% 25.70/17.42 (((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1)) <=> ((~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25709,plain,
% 25.70/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1)))),
% 25.70/17.42 inference(monotonicity,[status(thm)],[25708])).
% 25.70/17.42 tff(25710,plain,
% 25.70/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))),
% 25.70/17.42 inference(transitivity,[status(thm)],[25709, 25707])).
% 25.70/17.42 tff(25711,plain,
% 25.70/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1))),
% 25.70/17.42 inference(quant_inst,[status(thm)],[])).
% 25.70/17.42 tff(25712,plain,
% 25.70/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1)),
% 25.70/17.42 inference(modus_ponens,[status(thm)],[25711, 25710])).
% 25.70/17.42 tff(25713,plain,
% 25.70/17.42 ((~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1)),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25712, 1601, 25663])).
% 25.70/17.42 tff(25714,plain,
% 25.70/17.42 ((~v90(constB168, bitIndex1)) | v90(constB169, bitIndex1)),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25713, 25675])).
% 25.70/17.42 tff(25715,plain,
% 25.70/17.42 (v90(constB169, bitIndex1)),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25714, 25706])).
% 25.70/17.42 tff(25716,plain,
% 25.70/17.42 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB167)) | (~v130(constB167, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB167)) | (~v130(constB167, bitIndex0)))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25717,plain,
% 25.70/17.42 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB167)) | (~v130(constB167, bitIndex0)))),
% 25.70/17.42 inference(quant_inst,[status(thm)],[])).
% 25.70/17.42 tff(25718,plain,
% 25.70/17.42 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB167)) | (~v130(constB167, bitIndex0))),
% 25.70/17.42 inference(modus_ponens,[status(thm)],[25717, 25716])).
% 25.70/17.42 tff(25719,plain,
% 25.70/17.42 (~v130(constB167, bitIndex0)),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25718, 2023, 25543])).
% 25.70/17.42 tff(25720,plain,
% 25.70/17.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25721,plain,
% 25.70/17.42 ((v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0))) <=> ((~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25722,plain,
% 25.70/17.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0)))),
% 25.70/17.42 inference(monotonicity,[status(thm)],[25721])).
% 25.70/17.42 tff(25723,plain,
% 25.70/17.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))),
% 25.70/17.42 inference(transitivity,[status(thm)],[25722, 25720])).
% 25.70/17.42 tff(25724,plain,
% 25.70/17.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0)))),
% 25.70/17.42 inference(quant_inst,[status(thm)],[])).
% 25.70/17.42 tff(25725,plain,
% 25.70/17.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0)),
% 25.70/17.42 inference(modus_ponens,[status(thm)],[25724, 25723])).
% 25.70/17.42 tff(25726,plain,
% 25.70/17.42 ((~v127(constB167, bitIndex0)) | v130(constB167, bitIndex0)),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25725, 1341, 25583])).
% 25.70/17.42 tff(25727,plain,
% 25.70/17.42 (~v127(constB167, bitIndex0)),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25726, 25719])).
% 25.70/17.42 tff(25728,plain,
% 25.70/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0)))),
% 25.70/17.42 inference(rewrite,[status(thm)],[])).
% 25.70/17.42 tff(25729,plain,
% 25.70/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0)))),
% 25.70/17.42 inference(quant_inst,[status(thm)],[])).
% 25.70/17.42 tff(25730,plain,
% 25.70/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0))),
% 25.70/17.42 inference(modus_ponens,[status(thm)],[25729, 25728])).
% 25.70/17.42 tff(25731,plain,
% 25.70/17.42 (v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0))),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25730, 1359, 25601])).
% 25.70/17.42 tff(25732,plain,
% 25.70/17.42 (~v129(constB168, bitIndex0)),
% 25.70/17.42 inference(unit_resolution,[status(thm)],[25731, 25727])).
% 25.70/17.43 tff(25733,plain,
% 25.70/17.43 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25734,plain,
% 25.70/17.43 (((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0)) <=> ((~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25735,plain,
% 25.70/17.43 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168))))),
% 25.70/17.43 inference(monotonicity,[status(thm)],[25734])).
% 25.70/17.43 tff(25736,plain,
% 25.70/17.43 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))),
% 25.70/17.43 inference(transitivity,[status(thm)],[25735, 25733])).
% 25.70/17.43 tff(25737,plain,
% 25.70/17.43 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0))),
% 25.70/17.43 inference(quant_inst,[status(thm)],[])).
% 25.70/17.43 tff(25738,plain,
% 25.70/17.43 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168))),
% 25.70/17.43 inference(modus_ponens,[status(thm)],[25737, 25736])).
% 25.70/17.43 tff(25739,plain,
% 25.70/17.43 ((~v90(constB168, bitIndex0)) | (~v100(constB168))),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25738, 1374, 25732])).
% 25.70/17.43 tff(25740,plain,
% 25.70/17.43 (~v90(constB168, bitIndex0)),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25739, 25635])).
% 25.70/17.43 tff(25741,plain,
% 25.70/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25742,plain,
% 25.70/17.43 (((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0))) <=> (v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25743,plain,
% 25.70/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0))))),
% 25.70/17.43 inference(monotonicity,[status(thm)],[25742])).
% 25.70/17.43 tff(25744,plain,
% 25.70/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 25.70/17.43 inference(transitivity,[status(thm)],[25743, 25741])).
% 25.70/17.43 tff(25745,plain,
% 25.70/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 25.70/17.43 inference(quant_inst,[status(thm)],[])).
% 25.70/17.43 tff(25746,plain,
% 25.70/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0))),
% 25.70/17.43 inference(modus_ponens,[status(thm)],[25745, 25744])).
% 25.70/17.43 tff(25747,plain,
% 25.70/17.43 (v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0))),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25746, 934, 25663])).
% 25.70/17.43 tff(25748,plain,
% 25.70/17.43 (v90(constB168, bitIndex0) | (~v90(constB169, bitIndex0))),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25747, 25675])).
% 25.70/17.43 tff(25749,plain,
% 25.70/17.43 (~v90(constB169, bitIndex0)),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25748, 25740])).
% 25.70/17.43 tff(25750,plain,
% 25.70/17.43 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25751,plain,
% 25.70/17.43 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169))),
% 25.70/17.43 inference(quant_inst,[status(thm)],[])).
% 25.70/17.43 tff(25752,plain,
% 25.70/17.43 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169)),
% 25.70/17.43 inference(modus_ponens,[status(thm)],[25751, 25750])).
% 25.70/17.43 tff(25753,plain,
% 25.70/17.43 (v121(constB169)),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25752, 2145, 25749, 25715, 25684])).
% 25.70/17.43 tff(25754,plain,
% 25.70/17.43 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB169)) | v117(constB169))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB169)) | v117(constB169))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25755,plain,
% 25.70/17.43 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB169)) | v117(constB169))),
% 25.70/17.43 inference(quant_inst,[status(thm)],[])).
% 25.70/17.43 tff(25756,plain,
% 25.70/17.43 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB169)) | v117(constB169)),
% 25.70/17.43 inference(modus_ponens,[status(thm)],[25755, 25754])).
% 25.70/17.43 tff(25757,plain,
% 25.70/17.43 (v117(constB169)),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25756, 2102, 25753])).
% 25.70/17.43 tff(25758,plain,
% 25.70/17.43 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB169) | (~v117(constB169)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB169) | (~v117(constB169)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25759,plain,
% 25.70/17.43 (((~v117(constB169)) | v116(constB169)) <=> (v116(constB169) | (~v117(constB169)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25760,plain,
% 25.70/17.43 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB169)) | v116(constB169))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB169) | (~v117(constB169))))),
% 25.70/17.43 inference(monotonicity,[status(thm)],[25759])).
% 25.70/17.43 tff(25761,plain,
% 25.70/17.43 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB169)) | v116(constB169))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB169) | (~v117(constB169)))),
% 25.70/17.43 inference(transitivity,[status(thm)],[25760, 25758])).
% 25.70/17.43 tff(25762,plain,
% 25.70/17.43 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB169)) | v116(constB169))),
% 25.70/17.43 inference(quant_inst,[status(thm)],[])).
% 25.70/17.43 tff(25763,plain,
% 25.70/17.43 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB169) | (~v117(constB169))),
% 25.70/17.43 inference(modus_ponens,[status(thm)],[25762, 25761])).
% 25.70/17.43 tff(25764,plain,
% 25.70/17.43 (v116(constB169)),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25763, 994, 25757])).
% 25.70/17.43 tff(25765,plain,
% 25.70/17.43 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB169)) | v115(constB169))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB169)) | v115(constB169))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25766,plain,
% 25.70/17.43 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB169)) | v115(constB169))),
% 25.70/17.43 inference(quant_inst,[status(thm)],[])).
% 25.70/17.43 tff(25767,plain,
% 25.70/17.43 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB169)) | v115(constB169)),
% 25.70/17.43 inference(modus_ponens,[status(thm)],[25766, 25765])).
% 25.70/17.43 tff(25768,plain,
% 25.70/17.43 (v115(constB169)),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25767, 1008, 25764])).
% 25.70/17.43 tff(25769,plain,
% 25.70/17.43 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB169) | (~v115(constB169)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB169) | (~v115(constB169)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25770,plain,
% 25.70/17.43 (((~v115(constB169)) | v114(constB169)) <=> (v114(constB169) | (~v115(constB169)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25771,plain,
% 25.70/17.43 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB169)) | v114(constB169))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB169) | (~v115(constB169))))),
% 25.70/17.43 inference(monotonicity,[status(thm)],[25770])).
% 25.70/17.43 tff(25772,plain,
% 25.70/17.43 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB169)) | v114(constB169))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB169) | (~v115(constB169)))),
% 25.70/17.43 inference(transitivity,[status(thm)],[25771, 25769])).
% 25.70/17.43 tff(25773,plain,
% 25.70/17.43 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB169)) | v114(constB169))),
% 25.70/17.43 inference(quant_inst,[status(thm)],[])).
% 25.70/17.43 tff(25774,plain,
% 25.70/17.43 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB169) | (~v115(constB169))),
% 25.70/17.43 inference(modus_ponens,[status(thm)],[25773, 25772])).
% 25.70/17.43 tff(25775,plain,
% 25.70/17.43 (v114(constB169)),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25774, 1022, 25768])).
% 25.70/17.43 tff(25776,plain,
% 25.70/17.43 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB169) | (~v114(constB169)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB169) | (~v114(constB169)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25777,plain,
% 25.70/17.43 (((~v114(constB169)) | v113(constB169)) <=> (v113(constB169) | (~v114(constB169)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25778,plain,
% 25.70/17.43 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB169)) | v113(constB169))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB169) | (~v114(constB169))))),
% 25.70/17.43 inference(monotonicity,[status(thm)],[25777])).
% 25.70/17.43 tff(25779,plain,
% 25.70/17.43 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB169)) | v113(constB169))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB169) | (~v114(constB169)))),
% 25.70/17.43 inference(transitivity,[status(thm)],[25778, 25776])).
% 25.70/17.43 tff(25780,plain,
% 25.70/17.43 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB169)) | v113(constB169))),
% 25.70/17.43 inference(quant_inst,[status(thm)],[])).
% 25.70/17.43 tff(25781,plain,
% 25.70/17.43 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB169) | (~v114(constB169))),
% 25.70/17.43 inference(modus_ponens,[status(thm)],[25780, 25779])).
% 25.70/17.43 tff(25782,plain,
% 25.70/17.43 (v113(constB169)),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25781, 1036, 25775])).
% 25.70/17.43 tff(25783,assumption,(v26(constB169)), introduced(assumption)).
% 25.70/17.43 tff(25784,plain,
% 25.70/17.43 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB169))),
% 25.70/17.43 inference(quant_inst,[status(thm)],[])).
% 25.70/17.43 tff(25785,plain,
% 25.70/17.43 ($false),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25784, 797, 25783])).
% 25.70/17.43 tff(25786,plain,(~v26(constB169)), inference(lemma,lemma(discharge,[]))).
% 25.70/17.43 tff(25787,plain,
% 25.70/17.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | v112(constB169) | (~v113(constB169)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | v112(constB169) | (~v113(constB169)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25788,plain,
% 25.70/17.43 ((v26(constB169) | (~v113(constB169)) | v112(constB169)) <=> (v26(constB169) | v112(constB169) | (~v113(constB169)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25789,plain,
% 25.70/17.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | v112(constB169) | (~v113(constB169))))),
% 25.70/17.43 inference(monotonicity,[status(thm)],[25788])).
% 25.70/17.43 tff(25790,plain,
% 25.70/17.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | v112(constB169) | (~v113(constB169)))),
% 25.70/17.43 inference(transitivity,[status(thm)],[25789, 25787])).
% 25.70/17.43 tff(25791,plain,
% 25.70/17.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))),
% 25.70/17.43 inference(quant_inst,[status(thm)],[])).
% 25.70/17.43 tff(25792,plain,
% 25.70/17.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | v112(constB169) | (~v113(constB169))),
% 25.70/17.43 inference(modus_ponens,[status(thm)],[25791, 25790])).
% 25.70/17.43 tff(25793,plain,
% 25.70/17.43 (v112(constB169) | (~v113(constB169))),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25792, 1050, 25786])).
% 25.70/17.43 tff(25794,plain,
% 25.70/17.43 (v112(constB169)),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25793, 25782])).
% 25.70/17.43 tff(25795,plain,
% 25.70/17.43 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB169) | (~v112(constB169)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v112(constB169)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25796,plain,
% 25.70/17.43 (((~v112(constB169)) | v108(constB169)) <=> (v108(constB169) | (~v112(constB169)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25797,plain,
% 25.70/17.43 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB169)) | v108(constB169))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB169) | (~v112(constB169))))),
% 25.70/17.43 inference(monotonicity,[status(thm)],[25796])).
% 25.70/17.43 tff(25798,plain,
% 25.70/17.43 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB169)) | v108(constB169))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v112(constB169)))),
% 25.70/17.43 inference(transitivity,[status(thm)],[25797, 25795])).
% 25.70/17.43 tff(25799,plain,
% 25.70/17.43 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB169)) | v108(constB169))),
% 25.70/17.43 inference(quant_inst,[status(thm)],[])).
% 25.70/17.43 tff(25800,plain,
% 25.70/17.43 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v112(constB169))),
% 25.70/17.43 inference(modus_ponens,[status(thm)],[25799, 25798])).
% 25.70/17.43 tff(25801,plain,
% 25.70/17.43 (v108(constB169)),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25800, 1062, 25794])).
% 25.70/17.43 tff(25802,plain,
% 25.70/17.43 (nextState(constB169, constB170) <=> nextState(constB169, constB170)),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25803,axiom,(nextState(constB169, constB170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_169_1')).
% 25.70/17.43 tff(25804,plain,
% 25.70/17.43 (nextState(constB169, constB170)),
% 25.70/17.43 inference(modus_ponens,[status(thm)],[25803, 25802])).
% 25.70/17.43 tff(25805,plain,
% 25.70/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25806,plain,
% 25.70/17.43 (((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170)) <=> ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25807,plain,
% 25.70/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169))))),
% 25.70/17.43 inference(monotonicity,[status(thm)],[25806])).
% 25.70/17.43 tff(25808,plain,
% 25.70/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 25.70/17.43 inference(transitivity,[status(thm)],[25807, 25805])).
% 25.70/17.43 tff(25809,plain,
% 25.70/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))),
% 25.70/17.43 inference(quant_inst,[status(thm)],[])).
% 25.70/17.43 tff(25810,plain,
% 25.70/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169))),
% 25.70/17.43 inference(modus_ponens,[status(thm)],[25809, 25808])).
% 25.70/17.43 tff(25811,plain,
% 25.70/17.43 (v110(constB170) | (~v108(constB169))),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25810, 1082, 25804])).
% 25.70/17.43 tff(25812,plain,
% 25.70/17.43 (v110(constB170)),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25811, 25801])).
% 25.70/17.43 tff(25813,plain,
% 25.70/17.43 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25814,plain,
% 25.70/17.43 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))),
% 25.70/17.43 inference(quant_inst,[status(thm)],[])).
% 25.70/17.43 tff(25815,plain,
% 25.70/17.43 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170))),
% 25.70/17.43 inference(modus_ponens,[status(thm)],[25814, 25813])).
% 25.70/17.43 tff(25816,plain,
% 25.70/17.43 (~v104(constB170)),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25815, 1100, 25804, 25660])).
% 25.70/17.43 tff(25817,plain,
% 25.70/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25818,plain,
% 25.70/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))),
% 25.70/17.43 inference(quant_inst,[status(thm)],[])).
% 25.70/17.43 tff(25819,plain,
% 25.70/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v102(constB170) | v104(constB170)),
% 25.70/17.43 inference(modus_ponens,[status(thm)],[25818, 25817])).
% 25.70/17.43 tff(25820,plain,
% 25.70/17.43 (v102(constB170) | v104(constB170)),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25819, 1114, 25804])).
% 25.70/17.43 tff(25821,plain,
% 25.70/17.43 (v102(constB170)),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25820, 25816])).
% 25.70/17.43 tff(25822,plain,
% 25.70/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25823,plain,
% 25.70/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))),
% 25.70/17.43 inference(quant_inst,[status(thm)],[])).
% 25.70/17.43 tff(25824,plain,
% 25.70/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170))),
% 25.70/17.43 inference(modus_ponens,[status(thm)],[25823, 25822])).
% 25.70/17.43 tff(25825,plain,
% 25.70/17.43 (v101(constB170) | (~v102(constB170))),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25824, 1129, 25804, 471])).
% 25.70/17.43 tff(25826,plain,
% 25.70/17.43 (v101(constB170)),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25825, 25821])).
% 25.70/17.43 tff(25827,plain,
% 25.70/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25828,plain,
% 25.70/17.43 (((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170)) <=> ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25829,plain,
% 25.70/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170))))),
% 25.70/17.43 inference(monotonicity,[status(thm)],[25828])).
% 25.70/17.43 tff(25830,plain,
% 25.70/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 25.70/17.43 inference(transitivity,[status(thm)],[25829, 25827])).
% 25.70/17.43 tff(25831,plain,
% 25.70/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))),
% 25.70/17.43 inference(quant_inst,[status(thm)],[])).
% 25.70/17.43 tff(25832,plain,
% 25.70/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 25.70/17.43 inference(modus_ponens,[status(thm)],[25831, 25830])).
% 25.70/17.43 tff(25833,plain,
% 25.70/17.43 (v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25832, 1144, 25804])).
% 25.70/17.43 tff(25834,plain,
% 25.70/17.43 (v100(constB170) | (~v110(constB170))),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25833, 25826])).
% 25.70/17.43 tff(25835,plain,
% 25.70/17.43 (v100(constB170)),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25834, 25812])).
% 25.70/17.43 tff(25836,plain,
% 25.70/17.43 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB169)) | (~v130(constB169, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB169)) | (~v130(constB169, bitIndex2)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25837,plain,
% 25.70/17.43 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB169)) | (~v130(constB169, bitIndex2)))),
% 25.70/17.43 inference(quant_inst,[status(thm)],[])).
% 25.70/17.43 tff(25838,plain,
% 25.70/17.43 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB169)) | (~v130(constB169, bitIndex2))),
% 25.70/17.43 inference(modus_ponens,[status(thm)],[25837, 25836])).
% 25.70/17.43 tff(25839,plain,
% 25.70/17.43 (~v130(constB169, bitIndex2)),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25838, 2406, 25753])).
% 25.70/17.43 tff(25840,plain,
% 25.70/17.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25841,plain,
% 25.70/17.43 ((v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2))) <=> ((~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25842,plain,
% 25.70/17.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2)))),
% 25.70/17.43 inference(monotonicity,[status(thm)],[25841])).
% 25.70/17.43 tff(25843,plain,
% 25.70/17.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))),
% 25.70/17.43 inference(transitivity,[status(thm)],[25842, 25840])).
% 25.70/17.43 tff(25844,plain,
% 25.70/17.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2)))),
% 25.70/17.43 inference(quant_inst,[status(thm)],[])).
% 25.70/17.43 tff(25845,plain,
% 25.70/17.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2)),
% 25.70/17.43 inference(modus_ponens,[status(thm)],[25844, 25843])).
% 25.70/17.43 tff(25846,plain,
% 25.70/17.43 ((~v127(constB169, bitIndex2)) | v130(constB169, bitIndex2)),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25845, 1812, 25786])).
% 25.70/17.43 tff(25847,plain,
% 25.70/17.43 (~v127(constB169, bitIndex2)),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25846, 25839])).
% 25.70/17.43 tff(25848,plain,
% 25.70/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25849,plain,
% 25.70/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2)))),
% 25.70/17.43 inference(quant_inst,[status(thm)],[])).
% 25.70/17.43 tff(25850,plain,
% 25.70/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2))),
% 25.70/17.43 inference(modus_ponens,[status(thm)],[25849, 25848])).
% 25.70/17.43 tff(25851,plain,
% 25.70/17.43 (v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2))),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25850, 1830, 25804])).
% 25.70/17.43 tff(25852,plain,
% 25.70/17.43 (~v129(constB170, bitIndex2)),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25851, 25847])).
% 25.70/17.43 tff(25853,plain,
% 25.70/17.43 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25854,plain,
% 25.70/17.43 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))),
% 25.70/17.43 inference(quant_inst,[status(thm)],[])).
% 25.70/17.43 tff(25855,plain,
% 25.70/17.43 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170))),
% 25.70/17.43 inference(modus_ponens,[status(thm)],[25854, 25853])).
% 25.70/17.43 tff(25856,plain,
% 25.70/17.43 ((~v90(constB170, bitIndex2)) | (~v100(constB170))),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25855, 1845, 25852])).
% 25.70/17.43 tff(25857,plain,
% 25.70/17.43 (~v90(constB170, bitIndex2)),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25856, 25835])).
% 25.70/17.43 tff(25858,plain,
% 25.70/17.43 ((~v1(constB171)) <=> (~v1(constB171))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25859,axiom,(~v1(constB171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_171_1_1')).
% 25.70/17.43 tff(25860,plain,
% 25.70/17.43 (~v1(constB171)),
% 25.70/17.43 inference(modus_ponens,[status(thm)],[25859, 25858])).
% 25.70/17.43 tff(25861,plain,
% 25.70/17.43 (nextState(constB170, constB171) <=> nextState(constB170, constB171)),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25862,axiom,(nextState(constB170, constB171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_170_1')).
% 25.70/17.43 tff(25863,plain,
% 25.70/17.43 (nextState(constB170, constB171)),
% 25.70/17.43 inference(modus_ponens,[status(thm)],[25862, 25861])).
% 25.70/17.43 tff(25864,plain,
% 25.70/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25865,plain,
% 25.70/17.43 (((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171)) <=> (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25866,plain,
% 25.70/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171))))),
% 25.70/17.43 inference(monotonicity,[status(thm)],[25865])).
% 25.70/17.43 tff(25867,plain,
% 25.70/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 25.70/17.43 inference(transitivity,[status(thm)],[25866, 25864])).
% 25.70/17.43 tff(25868,plain,
% 25.70/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))),
% 25.70/17.43 inference(quant_inst,[status(thm)],[])).
% 25.70/17.43 tff(25869,plain,
% 25.70/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171))),
% 25.70/17.43 inference(modus_ponens,[status(thm)],[25868, 25867])).
% 25.70/17.43 tff(25870,plain,
% 25.70/17.43 (~v101(constB171)),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25869, 860, 25863, 25860])).
% 25.70/17.43 tff(25871,plain,
% 25.70/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25872,plain,
% 25.70/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))),
% 25.70/17.43 inference(quant_inst,[status(thm)],[])).
% 25.70/17.43 tff(25873,plain,
% 25.70/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171))),
% 25.70/17.43 inference(modus_ponens,[status(thm)],[25872, 25871])).
% 25.70/17.43 tff(25874,plain,
% 25.70/17.43 (v101(constB171) | (~v100(constB171))),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25873, 877, 25863])).
% 25.70/17.43 tff(25875,plain,
% 25.70/17.43 (~v100(constB171)),
% 25.70/17.43 inference(unit_resolution,[status(thm)],[25874, 25870])).
% 25.70/17.43 tff(25876,plain,
% 25.70/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 25.70/17.43 inference(rewrite,[status(thm)],[])).
% 25.70/17.43 tff(25877,plain,
% 25.70/17.43 (((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2))) <=> (v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 25.70/17.44 inference(rewrite,[status(thm)],[])).
% 25.70/17.44 tff(25878,plain,
% 25.70/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2))))),
% 25.70/17.44 inference(monotonicity,[status(thm)],[25877])).
% 25.70/17.44 tff(25879,plain,
% 25.70/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 25.70/17.44 inference(transitivity,[status(thm)],[25878, 25876])).
% 25.70/17.44 tff(25880,plain,
% 25.70/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 25.70/17.44 inference(quant_inst,[status(thm)],[])).
% 25.70/17.44 tff(25881,plain,
% 25.70/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2))),
% 25.70/17.44 inference(modus_ponens,[status(thm)],[25880, 25879])).
% 25.70/17.44 tff(25882,plain,
% 25.70/17.44 (v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2))),
% 25.70/17.44 inference(unit_resolution,[status(thm)],[25881, 892, 25863])).
% 25.70/17.44 tff(25883,plain,
% 25.70/17.44 (v90(constB170, bitIndex2) | (~v90(constB171, bitIndex2))),
% 25.70/17.44 inference(unit_resolution,[status(thm)],[25882, 25875])).
% 25.70/17.44 tff(25884,plain,
% 25.70/17.44 (~v90(constB171, bitIndex2)),
% 25.70/17.44 inference(unit_resolution,[status(thm)],[25883, 25857])).
% 25.70/17.44 tff(25885,plain,
% 25.70/17.44 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB169)) | v130(constB169, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB169)) | v130(constB169, bitIndex1))),
% 25.70/17.44 inference(rewrite,[status(thm)],[])).
% 25.70/17.44 tff(25886,plain,
% 25.70/17.44 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB169)) | v130(constB169, bitIndex1))),
% 25.70/17.44 inference(quant_inst,[status(thm)],[])).
% 25.70/17.44 tff(25887,plain,
% 25.70/17.44 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB169)) | v130(constB169, bitIndex1)),
% 25.70/17.44 inference(modus_ponens,[status(thm)],[25886, 25885])).
% 25.70/17.44 tff(25888,plain,
% 25.70/17.44 (v130(constB169, bitIndex1)),
% 25.70/17.44 inference(unit_resolution,[status(thm)],[25887, 2562, 25753])).
% 25.70/17.44 tff(25889,plain,
% 25.70/17.44 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB169) | (~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB169) | (~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1))),
% 25.70/17.44 inference(rewrite,[status(thm)],[])).
% 25.70/17.44 tff(25890,plain,
% 25.70/17.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB169) | (~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1))),
% 25.70/17.44 inference(quant_inst,[status(thm)],[])).
% 25.70/17.44 tff(25891,plain,
% 25.70/17.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB169) | (~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1)),
% 25.70/17.44 inference(modus_ponens,[status(thm)],[25890, 25889])).
% 25.70/17.44 tff(25892,plain,
% 25.70/17.44 ((~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1)),
% 25.70/17.44 inference(unit_resolution,[status(thm)],[25891, 1553, 25786])).
% 25.70/17.44 tff(25893,plain,
% 25.70/17.44 (v127(constB169, bitIndex1)),
% 25.70/17.44 inference(unit_resolution,[status(thm)],[25892, 25888])).
% 25.70/17.44 tff(25894,plain,
% 25.70/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1))),
% 25.70/17.44 inference(rewrite,[status(thm)],[])).
% 25.70/17.44 tff(25895,plain,
% 25.70/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1))),
% 25.70/17.44 inference(quant_inst,[status(thm)],[])).
% 25.70/17.44 tff(25896,plain,
% 25.70/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1)),
% 25.70/17.44 inference(modus_ponens,[status(thm)],[25895, 25894])).
% 25.70/17.44 tff(25897,plain,
% 25.70/17.44 ((~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1)),
% 25.70/17.44 inference(unit_resolution,[status(thm)],[25896, 1568, 25804])).
% 25.70/17.44 tff(25898,plain,
% 25.70/17.44 (v129(constB170, bitIndex1)),
% 25.70/17.44 inference(unit_resolution,[status(thm)],[25897, 25893])).
% 25.70/17.44 tff(25899,plain,
% 25.70/17.44 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170)))),
% 25.70/17.44 inference(rewrite,[status(thm)],[])).
% 25.70/17.44 tff(25900,plain,
% 25.70/17.44 ((v90(constB170, bitIndex1) | (~v100(constB170)) | (~v129(constB170, bitIndex1))) <=> (v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170)))),
% 25.70/17.44 inference(rewrite,[status(thm)],[])).
% 25.70/17.44 tff(25901,plain,
% 25.70/17.44 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v100(constB170)) | (~v129(constB170, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170))))),
% 25.70/17.44 inference(monotonicity,[status(thm)],[25900])).
% 25.70/17.44 tff(25902,plain,
% 25.70/17.44 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v100(constB170)) | (~v129(constB170, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170)))),
% 25.70/17.44 inference(transitivity,[status(thm)],[25901, 25899])).
% 25.70/17.44 tff(25903,plain,
% 25.70/17.44 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v100(constB170)) | (~v129(constB170, bitIndex1)))),
% 25.70/17.44 inference(quant_inst,[status(thm)],[])).
% 25.70/17.44 tff(25904,plain,
% 25.70/17.44 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170))),
% 25.70/17.44 inference(modus_ponens,[status(thm)],[25903, 25902])).
% 25.70/17.44 tff(25905,plain,
% 25.70/17.44 (v90(constB170, bitIndex1) | (~v100(constB170))),
% 25.70/17.44 inference(unit_resolution,[status(thm)],[25904, 1583, 25898])).
% 25.73/17.44 tff(25906,plain,
% 25.73/17.44 (v90(constB170, bitIndex1)),
% 25.73/17.44 inference(unit_resolution,[status(thm)],[25905, 25835])).
% 25.73/17.44 tff(25907,plain,
% 25.73/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1))),
% 25.73/17.44 inference(rewrite,[status(thm)],[])).
% 25.73/17.44 tff(25908,plain,
% 25.73/17.44 (((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1)) <=> ((~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1))),
% 25.73/17.44 inference(rewrite,[status(thm)],[])).
% 25.73/17.44 tff(25909,plain,
% 25.73/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1)))),
% 25.73/17.44 inference(monotonicity,[status(thm)],[25908])).
% 25.73/17.44 tff(25910,plain,
% 25.73/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1))),
% 25.73/17.44 inference(transitivity,[status(thm)],[25909, 25907])).
% 25.73/17.44 tff(25911,plain,
% 25.73/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1))),
% 25.73/17.44 inference(quant_inst,[status(thm)],[])).
% 25.73/17.44 tff(25912,plain,
% 25.73/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1)),
% 25.73/17.44 inference(modus_ponens,[status(thm)],[25911, 25910])).
% 25.73/17.44 tff(25913,plain,
% 25.73/17.44 ((~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1)),
% 25.73/17.44 inference(unit_resolution,[status(thm)],[25912, 1601, 25863])).
% 25.73/17.44 tff(25914,plain,
% 25.73/17.44 ((~v90(constB170, bitIndex1)) | v90(constB171, bitIndex1)),
% 25.73/17.44 inference(unit_resolution,[status(thm)],[25913, 25875])).
% 25.73/17.44 tff(25915,plain,
% 25.73/17.44 (v90(constB171, bitIndex1)),
% 25.73/17.44 inference(unit_resolution,[status(thm)],[25914, 25906])).
% 25.73/17.44 tff(25916,plain,
% 25.73/17.44 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB169)) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB169)) | v130(constB169, bitIndex0))),
% 25.73/17.44 inference(rewrite,[status(thm)],[])).
% 25.73/17.44 tff(25917,plain,
% 25.73/17.44 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB169)) | v130(constB169, bitIndex0))),
% 25.73/17.44 inference(quant_inst,[status(thm)],[])).
% 25.73/17.44 tff(25918,plain,
% 25.73/17.44 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB169)) | v130(constB169, bitIndex0)),
% 25.73/17.44 inference(modus_ponens,[status(thm)],[25917, 25916])).
% 25.73/17.44 tff(25919,plain,
% 25.73/17.44 (v130(constB169, bitIndex0)),
% 25.73/17.44 inference(unit_resolution,[status(thm)],[25918, 2600, 25753])).
% 25.73/17.44 tff(25920,plain,
% 25.73/17.44 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0))),
% 25.73/17.44 inference(rewrite,[status(thm)],[])).
% 25.73/17.44 tff(25921,plain,
% 25.73/17.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0))),
% 25.73/17.44 inference(quant_inst,[status(thm)],[])).
% 25.73/17.44 tff(25922,plain,
% 25.73/17.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0)),
% 25.73/17.44 inference(modus_ponens,[status(thm)],[25921, 25920])).
% 25.73/17.44 tff(25923,plain,
% 25.73/17.44 ((~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0)),
% 25.73/17.44 inference(unit_resolution,[status(thm)],[25922, 1945, 25786])).
% 25.73/17.44 tff(25924,plain,
% 25.73/17.44 (v127(constB169, bitIndex0)),
% 25.73/17.44 inference(unit_resolution,[status(thm)],[25923, 25919])).
% 25.73/17.44 tff(25925,plain,
% 25.73/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0))),
% 25.73/17.44 inference(rewrite,[status(thm)],[])).
% 25.73/17.44 tff(25926,plain,
% 25.73/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0))),
% 25.73/17.44 inference(quant_inst,[status(thm)],[])).
% 25.73/17.44 tff(25927,plain,
% 25.73/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0)),
% 25.73/17.44 inference(modus_ponens,[status(thm)],[25926, 25925])).
% 25.73/17.44 tff(25928,plain,
% 25.73/17.44 ((~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0)),
% 25.73/17.44 inference(unit_resolution,[status(thm)],[25927, 1960, 25804])).
% 25.73/17.44 tff(25929,plain,
% 25.73/17.44 (v129(constB170, bitIndex0)),
% 25.73/17.44 inference(unit_resolution,[status(thm)],[25928, 25924])).
% 25.73/17.44 tff(25930,plain,
% 25.73/17.44 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))),
% 25.73/17.44 inference(rewrite,[status(thm)],[])).
% 25.73/17.44 tff(25931,plain,
% 25.73/17.44 ((v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0))) <=> (v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))),
% 25.73/17.44 inference(rewrite,[status(thm)],[])).
% 25.73/17.44 tff(25932,plain,
% 25.73/17.44 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170))))),
% 25.73/17.44 inference(monotonicity,[status(thm)],[25931])).
% 25.73/17.44 tff(25933,plain,
% 25.73/17.44 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))),
% 25.73/17.44 inference(transitivity,[status(thm)],[25932, 25930])).
% 25.73/17.44 tff(25934,plain,
% 25.73/17.44 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0)))),
% 25.73/17.44 inference(quant_inst,[status(thm)],[])).
% 25.73/17.44 tff(25935,plain,
% 25.73/17.44 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170))),
% 25.73/17.44 inference(modus_ponens,[status(thm)],[25934, 25933])).
% 25.73/17.44 tff(25936,plain,
% 25.73/17.44 (v90(constB170, bitIndex0) | (~v100(constB170))),
% 25.73/17.44 inference(unit_resolution,[status(thm)],[25935, 1975, 25929])).
% 25.73/17.44 tff(25937,plain,
% 25.73/17.44 (v90(constB170, bitIndex0)),
% 25.73/17.44 inference(unit_resolution,[status(thm)],[25936, 25835])).
% 25.73/17.44 tff(25938,plain,
% 25.73/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))),
% 25.73/17.44 inference(rewrite,[status(thm)],[])).
% 25.73/17.44 tff(25939,plain,
% 25.73/17.44 (((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0)) <=> ((~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))),
% 25.73/17.44 inference(rewrite,[status(thm)],[])).
% 25.73/17.44 tff(25940,plain,
% 25.73/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0)))),
% 25.73/17.44 inference(monotonicity,[status(thm)],[25939])).
% 25.73/17.44 tff(25941,plain,
% 25.73/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))),
% 25.73/17.44 inference(transitivity,[status(thm)],[25940, 25938])).
% 25.73/17.44 tff(25942,plain,
% 25.73/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0))),
% 25.73/17.44 inference(quant_inst,[status(thm)],[])).
% 25.73/17.44 tff(25943,plain,
% 25.73/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0)),
% 25.73/17.44 inference(modus_ponens,[status(thm)],[25942, 25941])).
% 25.73/17.44 tff(25944,plain,
% 25.73/17.44 ((~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0)),
% 25.73/17.44 inference(unit_resolution,[status(thm)],[25943, 1993, 25863])).
% 25.73/17.44 tff(25945,plain,
% 25.73/17.44 ((~v90(constB170, bitIndex0)) | v90(constB171, bitIndex0)),
% 25.73/17.44 inference(unit_resolution,[status(thm)],[25944, 25875])).
% 25.73/17.44 tff(25946,plain,
% 25.73/17.44 (v90(constB171, bitIndex0)),
% 25.73/17.44 inference(unit_resolution,[status(thm)],[25945, 25937])).
% 25.73/17.44 tff(25947,plain,
% 25.73/17.44 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB171, bitIndex0)) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2) | v122(constB171))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB171, bitIndex0)) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2) | v122(constB171))),
% 25.73/17.44 inference(rewrite,[status(thm)],[])).
% 25.73/17.44 tff(25948,plain,
% 25.73/17.44 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB171, bitIndex0)) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2) | v122(constB171))),
% 25.73/17.44 inference(quant_inst,[status(thm)],[])).
% 25.73/17.44 tff(25949,plain,
% 25.73/17.44 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB171, bitIndex0)) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2) | v122(constB171)),
% 25.73/17.44 inference(modus_ponens,[status(thm)],[25948, 25947])).
% 25.73/17.44 tff(25950,plain,
% 25.73/17.44 (v122(constB171)),
% 25.73/17.44 inference(unit_resolution,[status(thm)],[25949, 2641, 25946, 25915, 25884])).
% 25.73/17.44 tff(25951,plain,
% 25.73/17.44 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB171)) | v130(constB171, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB171)) | v130(constB171, bitIndex2))),
% 25.73/17.44 inference(rewrite,[status(thm)],[])).
% 25.73/17.44 tff(25952,plain,
% 25.73/17.44 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB171)) | v130(constB171, bitIndex2))),
% 25.73/17.44 inference(quant_inst,[status(thm)],[])).
% 25.73/17.44 tff(25953,plain,
% 25.73/17.44 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB171)) | v130(constB171, bitIndex2)),
% 25.73/17.44 inference(modus_ponens,[status(thm)],[25952, 25951])).
% 25.73/17.44 tff(25954,plain,
% 25.73/17.44 (v130(constB171, bitIndex2)),
% 25.73/17.44 inference(unit_resolution,[status(thm)],[25953, 2736, 25950])).
% 25.73/17.44 tff(25955,assumption,(v26(constB171)), introduced(assumption)).
% 25.73/17.44 tff(25956,plain,
% 25.73/17.44 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB171))),
% 25.73/17.44 inference(quant_inst,[status(thm)],[])).
% 25.73/17.44 tff(25957,plain,
% 25.73/17.44 ($false),
% 25.73/17.44 inference(unit_resolution,[status(thm)],[25956, 797, 25955])).
% 25.73/17.44 tff(25958,plain,(~v26(constB171)), inference(lemma,lemma(discharge,[]))).
% 25.73/17.44 tff(25959,plain,
% 25.73/17.44 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB171) | (~v130(constB171, bitIndex2)) | v127(constB171, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB171) | (~v130(constB171, bitIndex2)) | v127(constB171, bitIndex2))),
% 25.73/17.44 inference(rewrite,[status(thm)],[])).
% 25.73/17.44 tff(25960,plain,
% 25.73/17.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB171) | (~v130(constB171, bitIndex2)) | v127(constB171, bitIndex2))),
% 25.73/17.44 inference(quant_inst,[status(thm)],[])).
% 25.73/17.44 tff(25961,plain,
% 25.73/17.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB171) | (~v130(constB171, bitIndex2)) | v127(constB171, bitIndex2)),
% 25.73/17.44 inference(modus_ponens,[status(thm)],[25960, 25959])).
% 25.73/17.44 tff(25962,plain,
% 25.73/17.44 ((~v130(constB171, bitIndex2)) | v127(constB171, bitIndex2)),
% 25.73/17.44 inference(unit_resolution,[status(thm)],[25961, 1174, 25958])).
% 25.73/17.44 tff(25963,plain,
% 25.73/17.44 (v127(constB171, bitIndex2)),
% 25.73/17.44 inference(unit_resolution,[status(thm)],[25962, 25954])).
% 25.73/17.44 tff(25964,plain,
% 25.73/17.44 (nextState(constB171, constB172) <=> nextState(constB171, constB172)),
% 25.73/17.44 inference(rewrite,[status(thm)],[])).
% 25.73/17.44 tff(25965,axiom,(nextState(constB171, constB172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_171_1')).
% 25.73/17.44 tff(25966,plain,
% 25.73/17.44 (nextState(constB171, constB172)),
% 25.73/17.44 inference(modus_ponens,[status(thm)],[25965, 25964])).
% 25.73/17.44 tff(25967,plain,
% 25.73/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB171, constB172)) | (~v127(constB171, bitIndex2)) | v129(constB172, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB171, constB172)) | (~v127(constB171, bitIndex2)) | v129(constB172, bitIndex2))),
% 25.73/17.44 inference(rewrite,[status(thm)],[])).
% 25.73/17.44 tff(25968,plain,
% 25.73/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB171, constB172)) | (~v127(constB171, bitIndex2)) | v129(constB172, bitIndex2))),
% 25.73/17.44 inference(quant_inst,[status(thm)],[])).
% 25.73/17.44 tff(25969,plain,
% 25.73/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB171, constB172)) | (~v127(constB171, bitIndex2)) | v129(constB172, bitIndex2)),
% 25.73/17.44 inference(modus_ponens,[status(thm)],[25968, 25967])).
% 25.73/17.44 tff(25970,plain,
% 25.73/17.44 ((~v127(constB171, bitIndex2)) | v129(constB172, bitIndex2)),
% 25.73/17.44 inference(unit_resolution,[status(thm)],[25969, 1189, 25966])).
% 25.73/17.44 tff(25971,plain,
% 25.73/17.44 (v129(constB172, bitIndex2)),
% 25.73/17.44 inference(unit_resolution,[status(thm)],[25970, 25963])).
% 25.73/17.44 tff(25972,plain,
% 25.73/17.44 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB171)) | (~v130(constB171, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB171)) | (~v130(constB171, bitIndex0)))),
% 25.73/17.44 inference(rewrite,[status(thm)],[])).
% 25.73/17.44 tff(25973,plain,
% 25.73/17.44 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB171)) | (~v130(constB171, bitIndex0)))),
% 25.73/17.44 inference(quant_inst,[status(thm)],[])).
% 25.73/17.44 tff(25974,plain,
% 25.73/17.44 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB171)) | (~v130(constB171, bitIndex0))),
% 25.73/17.44 inference(modus_ponens,[status(thm)],[25973, 25972])).
% 25.73/17.44 tff(25975,plain,
% 25.73/17.44 (~v130(constB171, bitIndex0)),
% 25.73/17.44 inference(unit_resolution,[status(thm)],[25974, 2833, 25950])).
% 25.73/17.44 tff(25976,plain,
% 25.73/17.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))),
% 25.73/17.44 inference(rewrite,[status(thm)],[])).
% 25.73/17.44 tff(25977,plain,
% 25.73/17.44 ((v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0))) <=> ((~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))),
% 25.73/17.44 inference(rewrite,[status(thm)],[])).
% 25.73/17.44 tff(25978,plain,
% 25.73/17.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0)))),
% 25.73/17.44 inference(monotonicity,[status(thm)],[25977])).
% 25.73/17.44 tff(25979,plain,
% 25.73/17.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))),
% 25.73/17.44 inference(transitivity,[status(thm)],[25978, 25976])).
% 25.73/17.44 tff(25980,plain,
% 25.73/17.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0)))),
% 25.73/17.44 inference(quant_inst,[status(thm)],[])).
% 25.73/17.44 tff(25981,plain,
% 25.73/17.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0)),
% 25.73/17.44 inference(modus_ponens,[status(thm)],[25980, 25979])).
% 25.73/17.44 tff(25982,plain,
% 25.73/17.44 ((~v127(constB171, bitIndex0)) | v130(constB171, bitIndex0)),
% 25.73/17.44 inference(unit_resolution,[status(thm)],[25981, 1341, 25958])).
% 25.73/17.44 tff(25983,plain,
% 25.73/17.44 (~v127(constB171, bitIndex0)),
% 25.73/17.44 inference(unit_resolution,[status(thm)],[25982, 25975])).
% 25.73/17.44 tff(25984,assumption,(~v127(constB171, bitIndex0)), introduced(assumption)).
% 25.73/17.44 tff(25985,plain,
% 25.73/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0)))),
% 25.73/17.44 inference(rewrite,[status(thm)],[])).
% 25.73/17.44 tff(25986,plain,
% 25.73/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0)))),
% 25.73/17.44 inference(quant_inst,[status(thm)],[])).
% 25.73/17.44 tff(25987,plain,
% 25.73/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0))),
% 25.73/17.44 inference(modus_ponens,[status(thm)],[25986, 25985])).
% 25.73/17.44 tff(25988,plain,
% 25.73/17.45 (v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0))),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[25987, 1359, 25966])).
% 25.73/17.45 tff(25989,plain,
% 25.73/17.45 (~v129(constB172, bitIndex0)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[25988, 25984])).
% 25.73/17.45 tff(25990,assumption,(v90(constB172, bitIndex0)), introduced(assumption)).
% 25.73/17.45 tff(25991,plain,
% 25.73/17.45 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(25992,plain,
% 25.73/17.45 (((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0)) <=> ((~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(25993,plain,
% 25.73/17.45 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172))))),
% 25.73/17.45 inference(monotonicity,[status(thm)],[25992])).
% 25.73/17.45 tff(25994,plain,
% 25.73/17.45 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))),
% 25.73/17.45 inference(transitivity,[status(thm)],[25993, 25991])).
% 25.73/17.45 tff(25995,plain,
% 25.73/17.45 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0))),
% 25.73/17.45 inference(quant_inst,[status(thm)],[])).
% 25.73/17.45 tff(25996,plain,
% 25.73/17.45 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172))),
% 25.73/17.45 inference(modus_ponens,[status(thm)],[25995, 25994])).
% 25.73/17.45 tff(25997,plain,
% 25.73/17.45 (v129(constB172, bitIndex0) | (~v100(constB172))),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[25996, 1374, 25990])).
% 25.73/17.45 tff(25998,plain,
% 25.73/17.45 (~v100(constB172)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[25997, 25989])).
% 25.73/17.45 tff(25999,assumption,(~v108(constB171)), introduced(assumption)).
% 25.73/17.45 tff(26000,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB171) | (~v26(constB171)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v26(constB171)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26001,plain,
% 25.73/17.45 (((~v26(constB171)) | v108(constB171)) <=> (v108(constB171) | (~v26(constB171)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26002,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB171)) | v108(constB171))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB171) | (~v26(constB171))))),
% 25.73/17.45 inference(monotonicity,[status(thm)],[26001])).
% 25.73/17.45 tff(26003,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB171)) | v108(constB171))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v26(constB171)))),
% 25.73/17.45 inference(transitivity,[status(thm)],[26002, 26000])).
% 25.73/17.45 tff(26004,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB171)) | v108(constB171))),
% 25.73/17.45 inference(quant_inst,[status(thm)],[])).
% 25.73/17.45 tff(26005,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v26(constB171))),
% 25.73/17.45 inference(modus_ponens,[status(thm)],[26004, 26003])).
% 25.73/17.45 tff(26006,plain,
% 25.73/17.45 (~v26(constB171)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26005, 2441, 25999])).
% 25.73/17.45 tff(26007,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB171) | (~v130(constB171, bitIndex0)) | v127(constB171, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB171) | (~v130(constB171, bitIndex0)) | v127(constB171, bitIndex0))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26008,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB171) | (~v130(constB171, bitIndex0)) | v127(constB171, bitIndex0))),
% 25.73/17.45 inference(quant_inst,[status(thm)],[])).
% 25.73/17.45 tff(26009,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB171) | (~v130(constB171, bitIndex0)) | v127(constB171, bitIndex0)),
% 25.73/17.45 inference(modus_ponens,[status(thm)],[26008, 26007])).
% 25.73/17.45 tff(26010,plain,
% 25.73/17.45 (v26(constB171) | (~v130(constB171, bitIndex0))),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26009, 1945, 25984])).
% 25.73/17.45 tff(26011,plain,
% 25.73/17.45 (~v130(constB171, bitIndex0)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26010, 26006])).
% 25.73/17.45 tff(26012,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB171)) | v130(constB171, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB171)) | v130(constB171, bitIndex0))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26013,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB171)) | v130(constB171, bitIndex0))),
% 25.73/17.45 inference(quant_inst,[status(thm)],[])).
% 25.73/17.45 tff(26014,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB171)) | v130(constB171, bitIndex0)),
% 25.73/17.45 inference(modus_ponens,[status(thm)],[26013, 26012])).
% 25.73/17.45 tff(26015,plain,
% 25.73/17.45 (~v124(constB171)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26014, 7189, 26011])).
% 25.73/17.45 tff(26016,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB171) | (~v112(constB171)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v112(constB171)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26017,plain,
% 25.73/17.45 (((~v112(constB171)) | v108(constB171)) <=> (v108(constB171) | (~v112(constB171)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26018,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB171)) | v108(constB171))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB171) | (~v112(constB171))))),
% 25.73/17.45 inference(monotonicity,[status(thm)],[26017])).
% 25.73/17.45 tff(26019,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB171)) | v108(constB171))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v112(constB171)))),
% 25.73/17.45 inference(transitivity,[status(thm)],[26018, 26016])).
% 25.73/17.45 tff(26020,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB171)) | v108(constB171))),
% 25.73/17.45 inference(quant_inst,[status(thm)],[])).
% 25.73/17.45 tff(26021,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v112(constB171))),
% 25.73/17.45 inference(modus_ponens,[status(thm)],[26020, 26019])).
% 25.73/17.45 tff(26022,plain,
% 25.73/17.45 (~v112(constB171)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26021, 1062, 25999])).
% 25.73/17.45 tff(26023,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | v112(constB171) | (~v113(constB171)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | v112(constB171) | (~v113(constB171)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26024,plain,
% 25.73/17.45 ((v26(constB171) | (~v113(constB171)) | v112(constB171)) <=> (v26(constB171) | v112(constB171) | (~v113(constB171)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26025,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | v112(constB171) | (~v113(constB171))))),
% 25.73/17.45 inference(monotonicity,[status(thm)],[26024])).
% 25.73/17.45 tff(26026,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | v112(constB171) | (~v113(constB171)))),
% 25.73/17.45 inference(transitivity,[status(thm)],[26025, 26023])).
% 25.73/17.45 tff(26027,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))),
% 25.73/17.45 inference(quant_inst,[status(thm)],[])).
% 25.73/17.45 tff(26028,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | v112(constB171) | (~v113(constB171))),
% 25.73/17.45 inference(modus_ponens,[status(thm)],[26027, 26026])).
% 25.73/17.45 tff(26029,plain,
% 25.73/17.45 (~v113(constB171)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26028, 1050, 26006, 26022])).
% 25.73/17.45 tff(26030,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB171) | (~v114(constB171)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB171) | (~v114(constB171)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26031,plain,
% 25.73/17.45 (((~v114(constB171)) | v113(constB171)) <=> (v113(constB171) | (~v114(constB171)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26032,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB171)) | v113(constB171))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB171) | (~v114(constB171))))),
% 25.73/17.45 inference(monotonicity,[status(thm)],[26031])).
% 25.73/17.45 tff(26033,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB171)) | v113(constB171))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB171) | (~v114(constB171)))),
% 25.73/17.45 inference(transitivity,[status(thm)],[26032, 26030])).
% 25.73/17.45 tff(26034,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB171)) | v113(constB171))),
% 25.73/17.45 inference(quant_inst,[status(thm)],[])).
% 25.73/17.45 tff(26035,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB171) | (~v114(constB171))),
% 25.73/17.45 inference(modus_ponens,[status(thm)],[26034, 26033])).
% 25.73/17.45 tff(26036,plain,
% 25.73/17.45 (~v114(constB171)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26035, 1036, 26029])).
% 25.73/17.45 tff(26037,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB171) | (~v115(constB171)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB171) | (~v115(constB171)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26038,plain,
% 25.73/17.45 (((~v115(constB171)) | v114(constB171)) <=> (v114(constB171) | (~v115(constB171)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26039,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB171)) | v114(constB171))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB171) | (~v115(constB171))))),
% 25.73/17.45 inference(monotonicity,[status(thm)],[26038])).
% 25.73/17.45 tff(26040,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB171)) | v114(constB171))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB171) | (~v115(constB171)))),
% 25.73/17.45 inference(transitivity,[status(thm)],[26039, 26037])).
% 25.73/17.45 tff(26041,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB171)) | v114(constB171))),
% 25.73/17.45 inference(quant_inst,[status(thm)],[])).
% 25.73/17.45 tff(26042,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB171) | (~v115(constB171))),
% 25.73/17.45 inference(modus_ponens,[status(thm)],[26041, 26040])).
% 25.73/17.45 tff(26043,plain,
% 25.73/17.45 (~v115(constB171)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26042, 1022, 26036])).
% 25.73/17.45 tff(26044,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB171) | (~v123(constB171)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB171) | (~v123(constB171)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26045,plain,
% 25.73/17.45 (((~v123(constB171)) | v115(constB171)) <=> (v115(constB171) | (~v123(constB171)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26046,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB171)) | v115(constB171))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB171) | (~v123(constB171))))),
% 25.73/17.45 inference(monotonicity,[status(thm)],[26045])).
% 25.73/17.45 tff(26047,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB171)) | v115(constB171))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB171) | (~v123(constB171)))),
% 25.73/17.45 inference(transitivity,[status(thm)],[26046, 26044])).
% 25.73/17.45 tff(26048,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB171)) | v115(constB171))),
% 25.73/17.45 inference(quant_inst,[status(thm)],[])).
% 25.73/17.45 tff(26049,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB171) | (~v123(constB171))),
% 25.73/17.45 inference(modus_ponens,[status(thm)],[26048, 26047])).
% 25.73/17.45 tff(26050,plain,
% 25.73/17.45 (~v123(constB171)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26049, 1412, 26043])).
% 25.73/17.45 tff(26051,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB171) | (~v116(constB171)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB171) | (~v116(constB171)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26052,plain,
% 25.73/17.45 (((~v116(constB171)) | v115(constB171)) <=> (v115(constB171) | (~v116(constB171)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26053,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB171)) | v115(constB171))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB171) | (~v116(constB171))))),
% 25.73/17.45 inference(monotonicity,[status(thm)],[26052])).
% 25.73/17.45 tff(26054,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB171)) | v115(constB171))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB171) | (~v116(constB171)))),
% 25.73/17.45 inference(transitivity,[status(thm)],[26053, 26051])).
% 25.73/17.45 tff(26055,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB171)) | v115(constB171))),
% 25.73/17.45 inference(quant_inst,[status(thm)],[])).
% 25.73/17.45 tff(26056,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB171) | (~v116(constB171))),
% 25.73/17.45 inference(modus_ponens,[status(thm)],[26055, 26054])).
% 25.73/17.45 tff(26057,plain,
% 25.73/17.45 (~v116(constB171)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26056, 1008, 26043])).
% 25.73/17.45 tff(26058,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB171) | (~v122(constB171)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB171) | (~v122(constB171)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26059,plain,
% 25.73/17.45 (((~v122(constB171)) | v116(constB171)) <=> (v116(constB171) | (~v122(constB171)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26060,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB171)) | v116(constB171))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB171) | (~v122(constB171))))),
% 25.73/17.45 inference(monotonicity,[status(thm)],[26059])).
% 25.73/17.45 tff(26061,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB171)) | v116(constB171))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB171) | (~v122(constB171)))),
% 25.73/17.45 inference(transitivity,[status(thm)],[26060, 26058])).
% 25.73/17.45 tff(26062,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB171)) | v116(constB171))),
% 25.73/17.45 inference(quant_inst,[status(thm)],[])).
% 25.73/17.45 tff(26063,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB171) | (~v122(constB171))),
% 25.73/17.45 inference(modus_ponens,[status(thm)],[26062, 26061])).
% 25.73/17.45 tff(26064,plain,
% 25.73/17.45 (~v122(constB171)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26063, 2652, 26057])).
% 25.73/17.45 tff(26065,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB171)) | v130(constB171, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB171)) | v130(constB171, bitIndex0))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26066,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB171)) | v130(constB171, bitIndex0))),
% 25.73/17.45 inference(quant_inst,[status(thm)],[])).
% 25.73/17.45 tff(26067,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB171)) | v130(constB171, bitIndex0)),
% 25.73/17.45 inference(modus_ponens,[status(thm)],[26066, 26065])).
% 25.73/17.45 tff(26068,plain,
% 25.73/17.45 (~v121(constB171)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26067, 2600, 26011])).
% 25.73/17.45 tff(26069,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB171)) | v116(constB171))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB171)) | v116(constB171))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26070,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB171)) | v116(constB171))),
% 25.73/17.45 inference(quant_inst,[status(thm)],[])).
% 25.73/17.45 tff(26071,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB171)) | v116(constB171)),
% 25.73/17.45 inference(modus_ponens,[status(thm)],[26070, 26069])).
% 25.73/17.45 tff(26072,plain,
% 25.73/17.45 (~v117(constB171)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26071, 994, 26057])).
% 25.73/17.45 tff(26073,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB171) | (~v118(constB171)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB171) | (~v118(constB171)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26074,plain,
% 25.73/17.45 (((~v118(constB171)) | v117(constB171)) <=> (v117(constB171) | (~v118(constB171)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26075,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB171)) | v117(constB171))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB171) | (~v118(constB171))))),
% 25.73/17.45 inference(monotonicity,[status(thm)],[26074])).
% 25.73/17.45 tff(26076,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB171)) | v117(constB171))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB171) | (~v118(constB171)))),
% 25.73/17.45 inference(transitivity,[status(thm)],[26075, 26073])).
% 25.73/17.45 tff(26077,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB171)) | v117(constB171))),
% 25.73/17.45 inference(quant_inst,[status(thm)],[])).
% 25.73/17.45 tff(26078,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB171) | (~v118(constB171))),
% 25.73/17.45 inference(modus_ponens,[status(thm)],[26077, 26076])).
% 25.73/17.45 tff(26079,plain,
% 25.73/17.45 (~v118(constB171)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26078, 980, 26072])).
% 25.73/17.45 tff(26080,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB171) | (~v120(constB171)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB171) | (~v120(constB171)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26081,plain,
% 25.73/17.45 (((~v120(constB171)) | v118(constB171)) <=> (v118(constB171) | (~v120(constB171)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26082,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB171)) | v118(constB171))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB171) | (~v120(constB171))))),
% 25.73/17.45 inference(monotonicity,[status(thm)],[26081])).
% 25.73/17.45 tff(26083,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB171)) | v118(constB171))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB171) | (~v120(constB171)))),
% 25.73/17.45 inference(transitivity,[status(thm)],[26082, 26080])).
% 25.73/17.45 tff(26084,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB171)) | v118(constB171))),
% 25.73/17.45 inference(quant_inst,[status(thm)],[])).
% 25.73/17.45 tff(26085,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB171) | (~v120(constB171))),
% 25.73/17.45 inference(modus_ponens,[status(thm)],[26084, 26083])).
% 25.73/17.45 tff(26086,plain,
% 25.73/17.45 (~v120(constB171)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26085, 2210, 26079])).
% 25.73/17.45 tff(26087,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB171) | (~v119(constB171)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB171) | (~v119(constB171)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26088,plain,
% 25.73/17.45 (((~v119(constB171)) | v118(constB171)) <=> (v118(constB171) | (~v119(constB171)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26089,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB171)) | v118(constB171))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB171) | (~v119(constB171))))),
% 25.73/17.45 inference(monotonicity,[status(thm)],[26088])).
% 25.73/17.45 tff(26090,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB171)) | v118(constB171))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB171) | (~v119(constB171)))),
% 25.73/17.45 inference(transitivity,[status(thm)],[26089, 26087])).
% 25.73/17.45 tff(26091,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB171)) | v118(constB171))),
% 25.73/17.45 inference(quant_inst,[status(thm)],[])).
% 25.73/17.45 tff(26092,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB171) | (~v119(constB171))),
% 25.73/17.45 inference(modus_ponens,[status(thm)],[26091, 26090])).
% 25.73/17.45 tff(26093,plain,
% 25.73/17.45 (~v119(constB171)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26092, 969, 26079])).
% 25.73/17.45 tff(26094,plain,
% 25.73/17.45 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB171) | v120(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171) | v130(constB171, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB171) | v120(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171) | v130(constB171, bitIndex0))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26095,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB171) | v120(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171) | v130(constB171, bitIndex0))),
% 25.73/17.45 inference(quant_inst,[status(thm)],[])).
% 25.73/17.45 tff(26096,plain,
% 25.73/17.45 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB171) | v120(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171) | v130(constB171, bitIndex0)),
% 25.73/17.45 inference(modus_ponens,[status(thm)],[26095, 26094])).
% 25.73/17.45 tff(26097,plain,
% 25.73/17.45 (v119(constB171) | v120(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26096, 1931, 26011])).
% 25.73/17.45 tff(26098,plain,
% 25.73/17.45 ($false),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26097, 26093, 26086, 26068, 26064, 26050, 26015])).
% 25.73/17.45 tff(26099,plain,(v108(constB171) | v127(constB171, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.73/17.45 tff(26100,plain,
% 25.73/17.45 (v108(constB171)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26099, 25984])).
% 25.73/17.45 tff(26101,plain,
% 25.73/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26102,plain,
% 25.73/17.45 (((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172)) <=> ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26103,plain,
% 25.73/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171))))),
% 25.73/17.45 inference(monotonicity,[status(thm)],[26102])).
% 25.73/17.45 tff(26104,plain,
% 25.73/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 25.73/17.45 inference(transitivity,[status(thm)],[26103, 26101])).
% 25.73/17.45 tff(26105,plain,
% 25.73/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))),
% 25.73/17.45 inference(quant_inst,[status(thm)],[])).
% 25.73/17.45 tff(26106,plain,
% 25.73/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171))),
% 25.73/17.45 inference(modus_ponens,[status(thm)],[26105, 26104])).
% 25.73/17.45 tff(26107,plain,
% 25.73/17.45 (v110(constB172) | (~v108(constB171))),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26106, 1082, 25966])).
% 25.73/17.45 tff(26108,plain,
% 25.73/17.45 (v110(constB172)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26107, 26100])).
% 25.73/17.45 tff(26109,plain,
% 25.73/17.45 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26110,plain,
% 25.73/17.45 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))),
% 25.73/17.45 inference(quant_inst,[status(thm)],[])).
% 25.73/17.45 tff(26111,plain,
% 25.73/17.45 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172))),
% 25.73/17.45 inference(modus_ponens,[status(thm)],[26110, 26109])).
% 25.73/17.45 tff(26112,plain,
% 25.73/17.45 (~v104(constB172)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26111, 1100, 25966, 25860])).
% 25.73/17.45 tff(26113,plain,
% 25.73/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26114,plain,
% 25.73/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))),
% 25.73/17.45 inference(quant_inst,[status(thm)],[])).
% 25.73/17.45 tff(26115,plain,
% 25.73/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v102(constB172) | v104(constB172)),
% 25.73/17.45 inference(modus_ponens,[status(thm)],[26114, 26113])).
% 25.73/17.45 tff(26116,plain,
% 25.73/17.45 (v102(constB172) | v104(constB172)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26115, 1114, 25966])).
% 25.73/17.45 tff(26117,plain,
% 25.73/17.45 (v102(constB172)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26116, 26112])).
% 25.73/17.45 tff(26118,plain,
% 25.73/17.45 (v1(constB172) <=> v1(constB172)),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26119,axiom,(v1(constB172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_172_1')).
% 25.73/17.45 tff(26120,plain,
% 25.73/17.45 (v1(constB172)),
% 25.73/17.45 inference(modus_ponens,[status(thm)],[26119, 26118])).
% 25.73/17.45 tff(26121,plain,
% 25.73/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26122,plain,
% 25.73/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))),
% 25.73/17.45 inference(quant_inst,[status(thm)],[])).
% 25.73/17.45 tff(26123,plain,
% 25.73/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172))),
% 25.73/17.45 inference(modus_ponens,[status(thm)],[26122, 26121])).
% 25.73/17.45 tff(26124,plain,
% 25.73/17.45 (v101(constB172) | (~v102(constB172))),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26123, 1129, 25966, 26120])).
% 25.73/17.45 tff(26125,plain,
% 25.73/17.45 (v101(constB172)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26124, 26117])).
% 25.73/17.45 tff(26126,plain,
% 25.73/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26127,plain,
% 25.73/17.45 (((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172)) <=> ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26128,plain,
% 25.73/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172))))),
% 25.73/17.45 inference(monotonicity,[status(thm)],[26127])).
% 25.73/17.45 tff(26129,plain,
% 25.73/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 25.73/17.45 inference(transitivity,[status(thm)],[26128, 26126])).
% 25.73/17.45 tff(26130,plain,
% 25.73/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))),
% 25.73/17.45 inference(quant_inst,[status(thm)],[])).
% 25.73/17.45 tff(26131,plain,
% 25.73/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 25.73/17.45 inference(modus_ponens,[status(thm)],[26130, 26129])).
% 25.73/17.45 tff(26132,plain,
% 25.73/17.45 (v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26131, 1144, 25966])).
% 25.73/17.45 tff(26133,plain,
% 25.73/17.45 (v100(constB172) | (~v110(constB172))),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26132, 26125])).
% 25.73/17.45 tff(26134,plain,
% 25.73/17.45 ($false),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26133, 26108, 25998])).
% 25.73/17.45 tff(26135,plain,(v127(constB171, bitIndex0) | (~v90(constB172, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 25.73/17.45 tff(26136,plain,
% 25.73/17.45 (~v90(constB172, bitIndex0)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26135, 25983])).
% 25.73/17.45 tff(26137,plain,
% 25.73/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB171, bitIndex0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB171, bitIndex0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex0))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26138,plain,
% 25.73/17.45 (((~nextState(constB171, constB172)) | (~v90(constB171, bitIndex0)) | v100(constB172) | v90(constB172, bitIndex0)) <=> ((~v90(constB171, bitIndex0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex0))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26139,plain,
% 25.73/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB171, constB172)) | (~v90(constB171, bitIndex0)) | v100(constB172) | v90(constB172, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB171, bitIndex0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex0)))),
% 25.73/17.45 inference(monotonicity,[status(thm)],[26138])).
% 25.73/17.45 tff(26140,plain,
% 25.73/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB171, constB172)) | (~v90(constB171, bitIndex0)) | v100(constB172) | v90(constB172, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB171, bitIndex0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex0))),
% 25.73/17.45 inference(transitivity,[status(thm)],[26139, 26137])).
% 25.73/17.45 tff(26141,plain,
% 25.73/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB171, constB172)) | (~v90(constB171, bitIndex0)) | v100(constB172) | v90(constB172, bitIndex0))),
% 25.73/17.45 inference(quant_inst,[status(thm)],[])).
% 25.73/17.45 tff(26142,plain,
% 25.73/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB171, bitIndex0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex0)),
% 25.73/17.45 inference(modus_ponens,[status(thm)],[26141, 26140])).
% 25.73/17.45 tff(26143,plain,
% 25.73/17.45 ((~v90(constB171, bitIndex0)) | v100(constB172) | v90(constB172, bitIndex0)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26142, 1993, 25966])).
% 25.73/17.45 tff(26144,plain,
% 25.73/17.45 (v100(constB172)),
% 25.73/17.45 inference(unit_resolution,[status(thm)],[26143, 26136, 25946])).
% 25.73/17.45 tff(26145,plain,
% 25.73/17.45 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB172, bitIndex2) | (~v129(constB172, bitIndex2)) | (~v100(constB172)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB172, bitIndex2) | (~v129(constB172, bitIndex2)) | (~v100(constB172)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26146,plain,
% 25.73/17.45 ((v90(constB172, bitIndex2) | (~v100(constB172)) | (~v129(constB172, bitIndex2))) <=> (v90(constB172, bitIndex2) | (~v129(constB172, bitIndex2)) | (~v100(constB172)))),
% 25.73/17.45 inference(rewrite,[status(thm)],[])).
% 25.73/17.45 tff(26147,plain,
% 25.73/17.45 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB172, bitIndex2) | (~v100(constB172)) | (~v129(constB172, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB172, bitIndex2) | (~v129(constB172, bitIndex2)) | (~v100(constB172))))),
% 25.73/17.45 inference(monotonicity,[status(thm)],[26146])).
% 25.73/17.45 tff(26148,plain,
% 25.73/17.45 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB172, bitIndex2) | (~v100(constB172)) | (~v129(constB172, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB172, bitIndex2) | (~v129(constB172, bitIndex2)) | (~v100(constB172)))),
% 25.73/17.46 inference(transitivity,[status(thm)],[26147, 26145])).
% 25.73/17.46 tff(26149,plain,
% 25.73/17.46 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB172, bitIndex2) | (~v100(constB172)) | (~v129(constB172, bitIndex2)))),
% 25.73/17.46 inference(quant_inst,[status(thm)],[])).
% 25.73/17.46 tff(26150,plain,
% 25.73/17.46 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB172, bitIndex2) | (~v129(constB172, bitIndex2)) | (~v100(constB172))),
% 25.73/17.46 inference(modus_ponens,[status(thm)],[26149, 26148])).
% 25.73/17.46 tff(26151,plain,
% 25.73/17.46 (v90(constB172, bitIndex2)),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26150, 1204, 26144, 25971])).
% 25.73/17.46 tff(26152,plain,
% 25.73/17.46 ((~v1(constB173)) <=> (~v1(constB173))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26153,axiom,(~v1(constB173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_173_1_1')).
% 25.73/17.46 tff(26154,plain,
% 25.73/17.46 (~v1(constB173)),
% 25.73/17.46 inference(modus_ponens,[status(thm)],[26153, 26152])).
% 25.73/17.46 tff(26155,plain,
% 25.73/17.46 (nextState(constB172, constB173) <=> nextState(constB172, constB173)),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26156,axiom,(nextState(constB172, constB173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_172_1')).
% 25.73/17.46 tff(26157,plain,
% 25.73/17.46 (nextState(constB172, constB173)),
% 25.73/17.46 inference(modus_ponens,[status(thm)],[26156, 26155])).
% 25.73/17.46 tff(26158,plain,
% 25.73/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26159,plain,
% 25.73/17.46 (((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173)) <=> (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26160,plain,
% 25.73/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173))))),
% 25.73/17.46 inference(monotonicity,[status(thm)],[26159])).
% 25.73/17.46 tff(26161,plain,
% 25.73/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 25.73/17.46 inference(transitivity,[status(thm)],[26160, 26158])).
% 25.73/17.46 tff(26162,plain,
% 25.73/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))),
% 25.73/17.46 inference(quant_inst,[status(thm)],[])).
% 25.73/17.46 tff(26163,plain,
% 25.73/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173))),
% 25.73/17.46 inference(modus_ponens,[status(thm)],[26162, 26161])).
% 25.73/17.46 tff(26164,plain,
% 25.73/17.46 (~v101(constB173)),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26163, 860, 26157, 26154])).
% 25.73/17.46 tff(26165,plain,
% 25.73/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26166,plain,
% 25.73/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))),
% 25.73/17.46 inference(quant_inst,[status(thm)],[])).
% 25.73/17.46 tff(26167,plain,
% 25.73/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173))),
% 25.73/17.46 inference(modus_ponens,[status(thm)],[26166, 26165])).
% 25.73/17.46 tff(26168,plain,
% 25.73/17.46 (v101(constB173) | (~v100(constB173))),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26167, 877, 26157])).
% 25.73/17.46 tff(26169,plain,
% 25.73/17.46 (~v100(constB173)),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26168, 26164])).
% 25.73/17.46 tff(26170,plain,
% 25.73/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex2))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26171,plain,
% 25.73/17.46 (((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex2)) | v100(constB173) | v90(constB173, bitIndex2)) <=> ((~v90(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex2))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26172,plain,
% 25.73/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex2)) | v100(constB173) | v90(constB173, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex2)))),
% 25.73/17.46 inference(monotonicity,[status(thm)],[26171])).
% 25.73/17.46 tff(26173,plain,
% 25.73/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex2)) | v100(constB173) | v90(constB173, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex2))),
% 25.73/17.46 inference(transitivity,[status(thm)],[26172, 26170])).
% 25.73/17.46 tff(26174,plain,
% 25.73/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex2)) | v100(constB173) | v90(constB173, bitIndex2))),
% 25.73/17.46 inference(quant_inst,[status(thm)],[])).
% 25.73/17.46 tff(26175,plain,
% 25.73/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex2)),
% 25.73/17.46 inference(modus_ponens,[status(thm)],[26174, 26173])).
% 25.73/17.46 tff(26176,plain,
% 25.73/17.46 ((~v90(constB172, bitIndex2)) | v100(constB173) | v90(constB173, bitIndex2)),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26175, 1240, 26157])).
% 25.73/17.46 tff(26177,plain,
% 25.73/17.46 ((~v90(constB172, bitIndex2)) | v90(constB173, bitIndex2)),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26176, 26169])).
% 25.73/17.46 tff(26178,plain,
% 25.73/17.46 (v90(constB173, bitIndex2)),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26177, 26151])).
% 25.73/17.46 tff(26179,plain,
% 25.73/17.46 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB171)) | (~v130(constB171, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB171)) | (~v130(constB171, bitIndex1)))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26180,plain,
% 25.73/17.46 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB171)) | (~v130(constB171, bitIndex1)))),
% 25.73/17.46 inference(quant_inst,[status(thm)],[])).
% 25.73/17.46 tff(26181,plain,
% 25.73/17.46 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB171)) | (~v130(constB171, bitIndex1))),
% 25.73/17.46 inference(modus_ponens,[status(thm)],[26180, 26179])).
% 25.73/17.46 tff(26182,plain,
% 25.73/17.46 (~v130(constB171, bitIndex1)),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26181, 2792, 25950])).
% 25.73/17.46 tff(26183,plain,
% 25.73/17.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB171, bitIndex1)) | v26(constB171) | v130(constB171, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB171, bitIndex1)) | v26(constB171) | v130(constB171, bitIndex1))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26184,plain,
% 25.73/17.46 ((v26(constB171) | v130(constB171, bitIndex1) | (~v127(constB171, bitIndex1))) <=> ((~v127(constB171, bitIndex1)) | v26(constB171) | v130(constB171, bitIndex1))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26185,plain,
% 25.73/17.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB171) | v130(constB171, bitIndex1) | (~v127(constB171, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB171, bitIndex1)) | v26(constB171) | v130(constB171, bitIndex1)))),
% 25.73/17.46 inference(monotonicity,[status(thm)],[26184])).
% 25.73/17.46 tff(26186,plain,
% 25.73/17.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB171) | v130(constB171, bitIndex1) | (~v127(constB171, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB171, bitIndex1)) | v26(constB171) | v130(constB171, bitIndex1))),
% 25.73/17.46 inference(transitivity,[status(thm)],[26185, 26183])).
% 25.73/17.46 tff(26187,plain,
% 25.73/17.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB171) | v130(constB171, bitIndex1) | (~v127(constB171, bitIndex1)))),
% 25.73/17.46 inference(quant_inst,[status(thm)],[])).
% 25.73/17.46 tff(26188,plain,
% 25.73/17.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB171, bitIndex1)) | v26(constB171) | v130(constB171, bitIndex1)),
% 25.73/17.46 inference(modus_ponens,[status(thm)],[26187, 26186])).
% 25.73/17.46 tff(26189,plain,
% 25.73/17.46 ((~v127(constB171, bitIndex1)) | v130(constB171, bitIndex1)),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26188, 1270, 25958])).
% 25.73/17.46 tff(26190,plain,
% 25.73/17.46 (~v127(constB171, bitIndex1)),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26189, 26182])).
% 25.73/17.46 tff(26191,plain,
% 25.73/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex1) | (~v129(constB172, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex1) | (~v129(constB172, bitIndex1)))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26192,plain,
% 25.73/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex1) | (~v129(constB172, bitIndex1)))),
% 25.73/17.46 inference(quant_inst,[status(thm)],[])).
% 25.73/17.46 tff(26193,plain,
% 25.73/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex1) | (~v129(constB172, bitIndex1))),
% 25.73/17.46 inference(modus_ponens,[status(thm)],[26192, 26191])).
% 25.73/17.46 tff(26194,plain,
% 25.73/17.46 (v127(constB171, bitIndex1) | (~v129(constB172, bitIndex1))),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26193, 1288, 25966])).
% 25.73/17.46 tff(26195,plain,
% 25.73/17.46 (~v129(constB172, bitIndex1)),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26194, 26190])).
% 25.73/17.46 tff(26196,plain,
% 25.73/17.46 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB172, bitIndex1)) | v129(constB172, bitIndex1) | (~v100(constB172)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB172, bitIndex1)) | v129(constB172, bitIndex1) | (~v100(constB172)))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26197,plain,
% 25.73/17.46 (((~v90(constB172, bitIndex1)) | (~v100(constB172)) | v129(constB172, bitIndex1)) <=> ((~v90(constB172, bitIndex1)) | v129(constB172, bitIndex1) | (~v100(constB172)))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26198,plain,
% 25.73/17.46 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB172, bitIndex1)) | (~v100(constB172)) | v129(constB172, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB172, bitIndex1)) | v129(constB172, bitIndex1) | (~v100(constB172))))),
% 25.73/17.46 inference(monotonicity,[status(thm)],[26197])).
% 25.73/17.46 tff(26199,plain,
% 25.73/17.46 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB172, bitIndex1)) | (~v100(constB172)) | v129(constB172, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB172, bitIndex1)) | v129(constB172, bitIndex1) | (~v100(constB172)))),
% 25.73/17.46 inference(transitivity,[status(thm)],[26198, 26196])).
% 25.73/17.46 tff(26200,plain,
% 25.73/17.46 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB172, bitIndex1)) | (~v100(constB172)) | v129(constB172, bitIndex1))),
% 25.73/17.46 inference(quant_inst,[status(thm)],[])).
% 25.73/17.46 tff(26201,plain,
% 25.73/17.46 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB172, bitIndex1)) | v129(constB172, bitIndex1) | (~v100(constB172))),
% 25.73/17.46 inference(modus_ponens,[status(thm)],[26200, 26199])).
% 25.73/17.46 tff(26202,plain,
% 25.73/17.46 (~v90(constB172, bitIndex1)),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26201, 1303, 26144, 26195])).
% 25.73/17.46 tff(26203,plain,
% 25.73/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex1)))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26204,plain,
% 25.73/17.46 (((~nextState(constB172, constB173)) | v90(constB172, bitIndex1) | v100(constB173) | (~v90(constB173, bitIndex1))) <=> (v90(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex1)))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26205,plain,
% 25.73/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex1) | v100(constB173) | (~v90(constB173, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex1))))),
% 25.73/17.46 inference(monotonicity,[status(thm)],[26204])).
% 25.73/17.46 tff(26206,plain,
% 25.73/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex1) | v100(constB173) | (~v90(constB173, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex1)))),
% 25.73/17.46 inference(transitivity,[status(thm)],[26205, 26203])).
% 25.73/17.46 tff(26207,plain,
% 25.73/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex1) | v100(constB173) | (~v90(constB173, bitIndex1)))),
% 25.73/17.46 inference(quant_inst,[status(thm)],[])).
% 25.73/17.46 tff(26208,plain,
% 25.73/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex1))),
% 25.73/17.46 inference(modus_ponens,[status(thm)],[26207, 26206])).
% 25.73/17.46 tff(26209,plain,
% 25.73/17.46 (v90(constB172, bitIndex1) | v100(constB173) | (~v90(constB173, bitIndex1))),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26208, 913, 26157])).
% 25.73/17.46 tff(26210,plain,
% 25.73/17.46 (v90(constB172, bitIndex1) | (~v90(constB173, bitIndex1))),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26209, 26169])).
% 25.73/17.46 tff(26211,plain,
% 25.73/17.46 (~v90(constB173, bitIndex1)),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26210, 26202])).
% 25.73/17.46 tff(26212,plain,
% 25.73/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26213,plain,
% 25.73/17.46 (((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0))) <=> (v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26214,plain,
% 25.73/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0))))),
% 25.73/17.46 inference(monotonicity,[status(thm)],[26213])).
% 25.73/17.46 tff(26215,plain,
% 25.73/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 25.73/17.46 inference(transitivity,[status(thm)],[26214, 26212])).
% 25.73/17.46 tff(26216,plain,
% 25.73/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 25.73/17.46 inference(quant_inst,[status(thm)],[])).
% 25.73/17.46 tff(26217,plain,
% 25.73/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0))),
% 25.73/17.46 inference(modus_ponens,[status(thm)],[26216, 26215])).
% 25.73/17.46 tff(26218,plain,
% 25.73/17.46 (v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0))),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26217, 934, 26157])).
% 25.73/17.46 tff(26219,plain,
% 25.73/17.46 (v90(constB172, bitIndex0) | (~v90(constB173, bitIndex0))),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26218, 26169])).
% 25.73/17.46 tff(26220,plain,
% 25.73/17.46 (~v90(constB173, bitIndex0)),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26219, 26136])).
% 25.73/17.46 tff(26221,plain,
% 25.73/17.46 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2)) | v123(constB173))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2)) | v123(constB173))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26222,plain,
% 25.73/17.46 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2)) | v123(constB173))),
% 25.73/17.46 inference(quant_inst,[status(thm)],[])).
% 25.73/17.46 tff(26223,plain,
% 25.73/17.46 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2)) | v123(constB173)),
% 25.73/17.46 inference(modus_ponens,[status(thm)],[26222, 26221])).
% 25.73/17.46 tff(26224,plain,
% 25.73/17.46 (v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2)) | v123(constB173)),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26223, 1401, 26220])).
% 25.73/17.46 tff(26225,plain,
% 25.73/17.46 (v123(constB173)),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26224, 26211, 26178])).
% 25.73/17.46 tff(26226,plain,
% 25.73/17.46 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB173)) | v115(constB173))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB173)) | v115(constB173))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26227,plain,
% 25.73/17.46 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB173)) | v115(constB173))),
% 25.73/17.46 inference(quant_inst,[status(thm)],[])).
% 25.73/17.46 tff(26228,plain,
% 25.73/17.46 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB173)) | v115(constB173)),
% 25.73/17.46 inference(modus_ponens,[status(thm)],[26227, 26226])).
% 25.73/17.46 tff(26229,plain,
% 25.73/17.46 (v115(constB173)),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26228, 1412, 26225])).
% 25.73/17.46 tff(26230,plain,
% 25.73/17.46 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB173)) | v114(constB173))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB173)) | v114(constB173))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26231,plain,
% 25.73/17.46 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB173)) | v114(constB173))),
% 25.73/17.46 inference(quant_inst,[status(thm)],[])).
% 25.73/17.46 tff(26232,plain,
% 25.73/17.46 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB173)) | v114(constB173)),
% 25.73/17.46 inference(modus_ponens,[status(thm)],[26231, 26230])).
% 25.73/17.46 tff(26233,plain,
% 25.73/17.46 (v114(constB173)),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26232, 1022, 26229])).
% 25.73/17.46 tff(26234,plain,
% 25.73/17.46 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB173) | (~v114(constB173)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB173) | (~v114(constB173)))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26235,plain,
% 25.73/17.46 (((~v114(constB173)) | v113(constB173)) <=> (v113(constB173) | (~v114(constB173)))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26236,plain,
% 25.73/17.46 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB173)) | v113(constB173))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB173) | (~v114(constB173))))),
% 25.73/17.46 inference(monotonicity,[status(thm)],[26235])).
% 25.73/17.46 tff(26237,plain,
% 25.73/17.46 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB173)) | v113(constB173))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB173) | (~v114(constB173)))),
% 25.73/17.46 inference(transitivity,[status(thm)],[26236, 26234])).
% 25.73/17.46 tff(26238,plain,
% 25.73/17.46 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB173)) | v113(constB173))),
% 25.73/17.46 inference(quant_inst,[status(thm)],[])).
% 25.73/17.46 tff(26239,plain,
% 25.73/17.46 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB173) | (~v114(constB173))),
% 25.73/17.46 inference(modus_ponens,[status(thm)],[26238, 26237])).
% 25.73/17.46 tff(26240,plain,
% 25.73/17.46 (v113(constB173)),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26239, 1036, 26233])).
% 25.73/17.46 tff(26241,assumption,(v26(constB173)), introduced(assumption)).
% 25.73/17.46 tff(26242,plain,
% 25.73/17.46 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB173))),
% 25.73/17.46 inference(quant_inst,[status(thm)],[])).
% 25.73/17.46 tff(26243,plain,
% 25.73/17.46 ($false),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26242, 797, 26241])).
% 25.73/17.46 tff(26244,plain,(~v26(constB173)), inference(lemma,lemma(discharge,[]))).
% 25.73/17.46 tff(26245,plain,
% 25.73/17.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | v112(constB173) | (~v113(constB173)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | v112(constB173) | (~v113(constB173)))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26246,plain,
% 25.73/17.46 ((v26(constB173) | (~v113(constB173)) | v112(constB173)) <=> (v26(constB173) | v112(constB173) | (~v113(constB173)))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26247,plain,
% 25.73/17.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | v112(constB173) | (~v113(constB173))))),
% 25.73/17.46 inference(monotonicity,[status(thm)],[26246])).
% 25.73/17.46 tff(26248,plain,
% 25.73/17.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | v112(constB173) | (~v113(constB173)))),
% 25.73/17.46 inference(transitivity,[status(thm)],[26247, 26245])).
% 25.73/17.46 tff(26249,plain,
% 25.73/17.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))),
% 25.73/17.46 inference(quant_inst,[status(thm)],[])).
% 25.73/17.46 tff(26250,plain,
% 25.73/17.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | v112(constB173) | (~v113(constB173))),
% 25.73/17.46 inference(modus_ponens,[status(thm)],[26249, 26248])).
% 25.73/17.46 tff(26251,plain,
% 25.73/17.46 (v112(constB173) | (~v113(constB173))),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26250, 1050, 26244])).
% 25.73/17.46 tff(26252,plain,
% 25.73/17.46 (v112(constB173)),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26251, 26240])).
% 25.73/17.46 tff(26253,plain,
% 25.73/17.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB173) | (~v112(constB173)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v112(constB173)))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26254,plain,
% 25.73/17.46 (((~v112(constB173)) | v108(constB173)) <=> (v108(constB173) | (~v112(constB173)))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26255,plain,
% 25.73/17.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB173)) | v108(constB173))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB173) | (~v112(constB173))))),
% 25.73/17.46 inference(monotonicity,[status(thm)],[26254])).
% 25.73/17.46 tff(26256,plain,
% 25.73/17.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB173)) | v108(constB173))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v112(constB173)))),
% 25.73/17.46 inference(transitivity,[status(thm)],[26255, 26253])).
% 25.73/17.46 tff(26257,plain,
% 25.73/17.46 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB173)) | v108(constB173))),
% 25.73/17.46 inference(quant_inst,[status(thm)],[])).
% 25.73/17.46 tff(26258,plain,
% 25.73/17.46 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v112(constB173))),
% 25.73/17.46 inference(modus_ponens,[status(thm)],[26257, 26256])).
% 25.73/17.46 tff(26259,plain,
% 25.73/17.46 (v108(constB173)),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26258, 1062, 26252])).
% 25.73/17.46 tff(26260,plain,
% 25.73/17.46 (nextState(constB173, constB174) <=> nextState(constB173, constB174)),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26261,axiom,(nextState(constB173, constB174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_173_1')).
% 25.73/17.46 tff(26262,plain,
% 25.73/17.46 (nextState(constB173, constB174)),
% 25.73/17.46 inference(modus_ponens,[status(thm)],[26261, 26260])).
% 25.73/17.46 tff(26263,plain,
% 25.73/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26264,plain,
% 25.73/17.46 (((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174)) <=> ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26265,plain,
% 25.73/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173))))),
% 25.73/17.46 inference(monotonicity,[status(thm)],[26264])).
% 25.73/17.46 tff(26266,plain,
% 25.73/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 25.73/17.46 inference(transitivity,[status(thm)],[26265, 26263])).
% 25.73/17.46 tff(26267,plain,
% 25.73/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))),
% 25.73/17.46 inference(quant_inst,[status(thm)],[])).
% 25.73/17.46 tff(26268,plain,
% 25.73/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173))),
% 25.73/17.46 inference(modus_ponens,[status(thm)],[26267, 26266])).
% 25.73/17.46 tff(26269,plain,
% 25.73/17.46 (v110(constB174) | (~v108(constB173))),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26268, 1082, 26262])).
% 25.73/17.46 tff(26270,plain,
% 25.73/17.46 (v110(constB174)),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26269, 26259])).
% 25.73/17.46 tff(26271,plain,
% 25.73/17.46 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26272,plain,
% 25.73/17.46 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))),
% 25.73/17.46 inference(quant_inst,[status(thm)],[])).
% 25.73/17.46 tff(26273,plain,
% 25.73/17.46 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174))),
% 25.73/17.46 inference(modus_ponens,[status(thm)],[26272, 26271])).
% 25.73/17.46 tff(26274,plain,
% 25.73/17.46 (~v104(constB174)),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26273, 1100, 26262, 26154])).
% 25.73/17.46 tff(26275,plain,
% 25.73/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26276,plain,
% 25.73/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))),
% 25.73/17.46 inference(quant_inst,[status(thm)],[])).
% 25.73/17.46 tff(26277,plain,
% 25.73/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v102(constB174) | v104(constB174)),
% 25.73/17.46 inference(modus_ponens,[status(thm)],[26276, 26275])).
% 25.73/17.46 tff(26278,plain,
% 25.73/17.46 (v102(constB174) | v104(constB174)),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26277, 1114, 26262])).
% 25.73/17.46 tff(26279,plain,
% 25.73/17.46 (v102(constB174)),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26278, 26274])).
% 25.73/17.46 tff(26280,plain,
% 25.73/17.46 (v1(constB174) <=> v1(constB174)),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26281,axiom,(v1(constB174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_174_1')).
% 25.73/17.46 tff(26282,plain,
% 25.73/17.46 (v1(constB174)),
% 25.73/17.46 inference(modus_ponens,[status(thm)],[26281, 26280])).
% 25.73/17.46 tff(26283,plain,
% 25.73/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))),
% 25.73/17.46 inference(rewrite,[status(thm)],[])).
% 25.73/17.46 tff(26284,plain,
% 25.73/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))),
% 25.73/17.46 inference(quant_inst,[status(thm)],[])).
% 25.73/17.46 tff(26285,plain,
% 25.73/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174))),
% 25.73/17.46 inference(modus_ponens,[status(thm)],[26284, 26283])).
% 25.73/17.46 tff(26286,plain,
% 25.73/17.46 (v101(constB174) | (~v102(constB174))),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26285, 1129, 26262, 26282])).
% 25.73/17.46 tff(26287,plain,
% 25.73/17.46 (v101(constB174)),
% 25.73/17.46 inference(unit_resolution,[status(thm)],[26286, 26279])).
% 25.73/17.46 tff(26288,plain,
% 25.73/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26289,plain,
% 25.73/17.47 (((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174)) <=> ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26290,plain,
% 25.73/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174))))),
% 25.73/17.47 inference(monotonicity,[status(thm)],[26289])).
% 25.73/17.47 tff(26291,plain,
% 25.73/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 25.73/17.47 inference(transitivity,[status(thm)],[26290, 26288])).
% 25.73/17.47 tff(26292,plain,
% 25.73/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))),
% 25.73/17.47 inference(quant_inst,[status(thm)],[])).
% 25.73/17.47 tff(26293,plain,
% 25.73/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 25.73/17.47 inference(modus_ponens,[status(thm)],[26292, 26291])).
% 25.73/17.47 tff(26294,plain,
% 25.73/17.47 (v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26293, 1144, 26262])).
% 25.73/17.47 tff(26295,plain,
% 25.73/17.47 (v100(constB174) | (~v110(constB174))),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26294, 26287])).
% 25.73/17.47 tff(26296,plain,
% 25.73/17.47 (v100(constB174)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26295, 26270])).
% 25.73/17.47 tff(26297,plain,
% 25.73/17.47 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB173)) | v130(constB173, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB173)) | v130(constB173, bitIndex2))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26298,plain,
% 25.73/17.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB173)) | v130(constB173, bitIndex2))),
% 25.73/17.47 inference(quant_inst,[status(thm)],[])).
% 25.73/17.47 tff(26299,plain,
% 25.73/17.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB173)) | v130(constB173, bitIndex2)),
% 25.73/17.47 inference(modus_ponens,[status(thm)],[26298, 26297])).
% 25.73/17.47 tff(26300,plain,
% 25.73/17.47 (v130(constB173, bitIndex2)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26299, 1483, 26225])).
% 25.73/17.47 tff(26301,plain,
% 25.73/17.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB173) | (~v130(constB173, bitIndex2)) | v127(constB173, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB173) | (~v130(constB173, bitIndex2)) | v127(constB173, bitIndex2))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26302,plain,
% 25.73/17.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB173) | (~v130(constB173, bitIndex2)) | v127(constB173, bitIndex2))),
% 25.73/17.47 inference(quant_inst,[status(thm)],[])).
% 25.73/17.47 tff(26303,plain,
% 25.73/17.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB173) | (~v130(constB173, bitIndex2)) | v127(constB173, bitIndex2)),
% 25.73/17.47 inference(modus_ponens,[status(thm)],[26302, 26301])).
% 25.73/17.47 tff(26304,plain,
% 25.73/17.47 ((~v130(constB173, bitIndex2)) | v127(constB173, bitIndex2)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26303, 1174, 26244])).
% 25.73/17.47 tff(26305,plain,
% 25.73/17.47 (v127(constB173, bitIndex2)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26304, 26300])).
% 25.73/17.47 tff(26306,plain,
% 25.73/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex2)) | v129(constB174, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex2)) | v129(constB174, bitIndex2))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26307,plain,
% 25.73/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex2)) | v129(constB174, bitIndex2))),
% 25.73/17.47 inference(quant_inst,[status(thm)],[])).
% 25.73/17.47 tff(26308,plain,
% 25.73/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex2)) | v129(constB174, bitIndex2)),
% 25.73/17.47 inference(modus_ponens,[status(thm)],[26307, 26306])).
% 25.73/17.47 tff(26309,plain,
% 25.73/17.47 ((~v127(constB173, bitIndex2)) | v129(constB174, bitIndex2)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26308, 1189, 26262])).
% 25.73/17.47 tff(26310,plain,
% 25.73/17.47 (v129(constB174, bitIndex2)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26309, 26305])).
% 25.73/17.47 tff(26311,plain,
% 25.73/17.47 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB174, bitIndex2) | (~v129(constB174, bitIndex2)) | (~v100(constB174)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB174, bitIndex2) | (~v129(constB174, bitIndex2)) | (~v100(constB174)))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26312,plain,
% 25.73/17.47 ((v90(constB174, bitIndex2) | (~v100(constB174)) | (~v129(constB174, bitIndex2))) <=> (v90(constB174, bitIndex2) | (~v129(constB174, bitIndex2)) | (~v100(constB174)))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26313,plain,
% 25.73/17.47 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB174, bitIndex2) | (~v100(constB174)) | (~v129(constB174, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB174, bitIndex2) | (~v129(constB174, bitIndex2)) | (~v100(constB174))))),
% 25.73/17.47 inference(monotonicity,[status(thm)],[26312])).
% 25.73/17.47 tff(26314,plain,
% 25.73/17.47 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB174, bitIndex2) | (~v100(constB174)) | (~v129(constB174, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB174, bitIndex2) | (~v129(constB174, bitIndex2)) | (~v100(constB174)))),
% 25.73/17.47 inference(transitivity,[status(thm)],[26313, 26311])).
% 25.73/17.47 tff(26315,plain,
% 25.73/17.47 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB174, bitIndex2) | (~v100(constB174)) | (~v129(constB174, bitIndex2)))),
% 25.73/17.47 inference(quant_inst,[status(thm)],[])).
% 25.73/17.47 tff(26316,plain,
% 25.73/17.47 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB174, bitIndex2) | (~v129(constB174, bitIndex2)) | (~v100(constB174))),
% 25.73/17.47 inference(modus_ponens,[status(thm)],[26315, 26314])).
% 25.73/17.47 tff(26317,plain,
% 25.73/17.47 (v90(constB174, bitIndex2) | (~v100(constB174))),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26316, 1204, 26310])).
% 25.73/17.47 tff(26318,plain,
% 25.73/17.47 (v90(constB174, bitIndex2)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26317, 26296])).
% 25.73/17.47 tff(26319,plain,
% 25.73/17.47 ((~v1(constB175)) <=> (~v1(constB175))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26320,axiom,(~v1(constB175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_175_1_1')).
% 25.73/17.47 tff(26321,plain,
% 25.73/17.47 (~v1(constB175)),
% 25.73/17.47 inference(modus_ponens,[status(thm)],[26320, 26319])).
% 25.73/17.47 tff(26322,plain,
% 25.73/17.47 (nextState(constB174, constB175) <=> nextState(constB174, constB175)),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26323,axiom,(nextState(constB174, constB175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_174_1')).
% 25.73/17.47 tff(26324,plain,
% 25.73/17.47 (nextState(constB174, constB175)),
% 25.73/17.47 inference(modus_ponens,[status(thm)],[26323, 26322])).
% 25.73/17.47 tff(26325,plain,
% 25.73/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26326,plain,
% 25.73/17.47 (((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175)) <=> (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26327,plain,
% 25.73/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175))))),
% 25.73/17.47 inference(monotonicity,[status(thm)],[26326])).
% 25.73/17.47 tff(26328,plain,
% 25.73/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 25.73/17.47 inference(transitivity,[status(thm)],[26327, 26325])).
% 25.73/17.47 tff(26329,plain,
% 25.73/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))),
% 25.73/17.47 inference(quant_inst,[status(thm)],[])).
% 25.73/17.47 tff(26330,plain,
% 25.73/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175))),
% 25.73/17.47 inference(modus_ponens,[status(thm)],[26329, 26328])).
% 25.73/17.47 tff(26331,plain,
% 25.73/17.47 (~v101(constB175)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26330, 860, 26324, 26321])).
% 25.73/17.47 tff(26332,plain,
% 25.73/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26333,plain,
% 25.73/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))),
% 25.73/17.47 inference(quant_inst,[status(thm)],[])).
% 25.73/17.47 tff(26334,plain,
% 25.73/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175))),
% 25.73/17.47 inference(modus_ponens,[status(thm)],[26333, 26332])).
% 25.73/17.47 tff(26335,plain,
% 25.73/17.47 (v101(constB175) | (~v100(constB175))),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26334, 877, 26324])).
% 25.73/17.47 tff(26336,plain,
% 25.73/17.47 (~v100(constB175)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26335, 26331])).
% 25.73/17.47 tff(26337,plain,
% 25.73/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex2))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26338,plain,
% 25.73/17.47 (((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex2)) | v100(constB175) | v90(constB175, bitIndex2)) <=> ((~v90(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex2))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26339,plain,
% 25.73/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex2)) | v100(constB175) | v90(constB175, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex2)))),
% 25.73/17.47 inference(monotonicity,[status(thm)],[26338])).
% 25.73/17.47 tff(26340,plain,
% 25.73/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex2)) | v100(constB175) | v90(constB175, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex2))),
% 25.73/17.47 inference(transitivity,[status(thm)],[26339, 26337])).
% 25.73/17.47 tff(26341,plain,
% 25.73/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex2)) | v100(constB175) | v90(constB175, bitIndex2))),
% 25.73/17.47 inference(quant_inst,[status(thm)],[])).
% 25.73/17.47 tff(26342,plain,
% 25.73/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex2)),
% 25.73/17.47 inference(modus_ponens,[status(thm)],[26341, 26340])).
% 25.73/17.47 tff(26343,plain,
% 25.73/17.47 ((~v90(constB174, bitIndex2)) | v100(constB175) | v90(constB175, bitIndex2)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26342, 1240, 26324])).
% 25.73/17.47 tff(26344,plain,
% 25.73/17.47 ((~v90(constB174, bitIndex2)) | v90(constB175, bitIndex2)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26343, 26336])).
% 25.73/17.47 tff(26345,plain,
% 25.73/17.47 (v90(constB175, bitIndex2)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26344, 26318])).
% 25.73/17.47 tff(26346,plain,
% 25.73/17.47 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB173)) | v130(constB173, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB173)) | v130(constB173, bitIndex1))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26347,plain,
% 25.73/17.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB173)) | v130(constB173, bitIndex1))),
% 25.73/17.47 inference(quant_inst,[status(thm)],[])).
% 25.73/17.47 tff(26348,plain,
% 25.73/17.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB173)) | v130(constB173, bitIndex1)),
% 25.73/17.47 inference(modus_ponens,[status(thm)],[26347, 26346])).
% 25.73/17.47 tff(26349,plain,
% 25.73/17.47 (v130(constB173, bitIndex1)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26348, 1539, 26225])).
% 25.73/17.47 tff(26350,plain,
% 25.73/17.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26351,plain,
% 25.73/17.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1))),
% 25.73/17.47 inference(quant_inst,[status(thm)],[])).
% 25.73/17.47 tff(26352,plain,
% 25.73/17.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1)),
% 25.73/17.47 inference(modus_ponens,[status(thm)],[26351, 26350])).
% 25.73/17.47 tff(26353,plain,
% 25.73/17.47 ((~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26352, 1553, 26244])).
% 25.73/17.47 tff(26354,plain,
% 25.73/17.47 (v127(constB173, bitIndex1)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26353, 26349])).
% 25.73/17.47 tff(26355,plain,
% 25.73/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26356,plain,
% 25.73/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1))),
% 25.73/17.47 inference(quant_inst,[status(thm)],[])).
% 25.73/17.47 tff(26357,plain,
% 25.73/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1)),
% 25.73/17.47 inference(modus_ponens,[status(thm)],[26356, 26355])).
% 25.73/17.47 tff(26358,plain,
% 25.73/17.47 ((~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26357, 1568, 26262])).
% 25.73/17.47 tff(26359,plain,
% 25.73/17.47 (v129(constB174, bitIndex1)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26358, 26354])).
% 25.73/17.47 tff(26360,plain,
% 25.73/17.47 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26361,plain,
% 25.73/17.47 ((v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1))) <=> (v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26362,plain,
% 25.73/17.47 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174))))),
% 25.73/17.47 inference(monotonicity,[status(thm)],[26361])).
% 25.73/17.47 tff(26363,plain,
% 25.73/17.47 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))),
% 25.73/17.47 inference(transitivity,[status(thm)],[26362, 26360])).
% 25.73/17.47 tff(26364,plain,
% 25.73/17.47 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1)))),
% 25.73/17.47 inference(quant_inst,[status(thm)],[])).
% 25.73/17.47 tff(26365,plain,
% 25.73/17.47 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174))),
% 25.73/17.47 inference(modus_ponens,[status(thm)],[26364, 26363])).
% 25.73/17.47 tff(26366,plain,
% 25.73/17.47 (v90(constB174, bitIndex1) | (~v100(constB174))),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26365, 1583, 26359])).
% 25.73/17.47 tff(26367,plain,
% 25.73/17.47 (v90(constB174, bitIndex1)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26366, 26296])).
% 25.73/17.47 tff(26368,plain,
% 25.73/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26369,plain,
% 25.73/17.47 (((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1)) <=> ((~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26370,plain,
% 25.73/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1)))),
% 25.73/17.47 inference(monotonicity,[status(thm)],[26369])).
% 25.73/17.47 tff(26371,plain,
% 25.73/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))),
% 25.73/17.47 inference(transitivity,[status(thm)],[26370, 26368])).
% 25.73/17.47 tff(26372,plain,
% 25.73/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1))),
% 25.73/17.47 inference(quant_inst,[status(thm)],[])).
% 25.73/17.47 tff(26373,plain,
% 25.73/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1)),
% 25.73/17.47 inference(modus_ponens,[status(thm)],[26372, 26371])).
% 25.73/17.47 tff(26374,plain,
% 25.73/17.47 ((~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26373, 1601, 26324])).
% 25.73/17.47 tff(26375,plain,
% 25.73/17.47 ((~v90(constB174, bitIndex1)) | v90(constB175, bitIndex1)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26374, 26336])).
% 25.73/17.47 tff(26376,plain,
% 25.73/17.47 (v90(constB175, bitIndex1)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26375, 26367])).
% 25.73/17.47 tff(26377,plain,
% 25.73/17.47 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB173)) | (~v130(constB173, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB173)) | (~v130(constB173, bitIndex0)))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26378,plain,
% 25.73/17.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB173)) | (~v130(constB173, bitIndex0)))),
% 25.73/17.47 inference(quant_inst,[status(thm)],[])).
% 25.73/17.47 tff(26379,plain,
% 25.73/17.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB173)) | (~v130(constB173, bitIndex0))),
% 25.73/17.47 inference(modus_ponens,[status(thm)],[26378, 26377])).
% 25.73/17.47 tff(26380,plain,
% 25.73/17.47 (~v130(constB173, bitIndex0)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26379, 1617, 26225])).
% 25.73/17.47 tff(26381,plain,
% 25.73/17.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB173, bitIndex0)) | v26(constB173) | v130(constB173, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB173, bitIndex0)) | v26(constB173) | v130(constB173, bitIndex0))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26382,plain,
% 25.73/17.47 ((v26(constB173) | v130(constB173, bitIndex0) | (~v127(constB173, bitIndex0))) <=> ((~v127(constB173, bitIndex0)) | v26(constB173) | v130(constB173, bitIndex0))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26383,plain,
% 25.73/17.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB173) | v130(constB173, bitIndex0) | (~v127(constB173, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB173, bitIndex0)) | v26(constB173) | v130(constB173, bitIndex0)))),
% 25.73/17.47 inference(monotonicity,[status(thm)],[26382])).
% 25.73/17.47 tff(26384,plain,
% 25.73/17.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB173) | v130(constB173, bitIndex0) | (~v127(constB173, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB173, bitIndex0)) | v26(constB173) | v130(constB173, bitIndex0))),
% 25.73/17.47 inference(transitivity,[status(thm)],[26383, 26381])).
% 25.73/17.47 tff(26385,plain,
% 25.73/17.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB173) | v130(constB173, bitIndex0) | (~v127(constB173, bitIndex0)))),
% 25.73/17.47 inference(quant_inst,[status(thm)],[])).
% 25.73/17.47 tff(26386,plain,
% 25.73/17.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB173, bitIndex0)) | v26(constB173) | v130(constB173, bitIndex0)),
% 25.73/17.47 inference(modus_ponens,[status(thm)],[26385, 26384])).
% 25.73/17.47 tff(26387,plain,
% 25.73/17.47 ((~v127(constB173, bitIndex0)) | v130(constB173, bitIndex0)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26386, 1341, 26244])).
% 25.73/17.47 tff(26388,plain,
% 25.73/17.47 (~v127(constB173, bitIndex0)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26387, 26380])).
% 25.73/17.47 tff(26389,plain,
% 25.73/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB173, constB174)) | v127(constB173, bitIndex0) | (~v129(constB174, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB173, constB174)) | v127(constB173, bitIndex0) | (~v129(constB174, bitIndex0)))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26390,plain,
% 25.73/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB173, constB174)) | v127(constB173, bitIndex0) | (~v129(constB174, bitIndex0)))),
% 25.73/17.47 inference(quant_inst,[status(thm)],[])).
% 25.73/17.47 tff(26391,plain,
% 25.73/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB173, constB174)) | v127(constB173, bitIndex0) | (~v129(constB174, bitIndex0))),
% 25.73/17.47 inference(modus_ponens,[status(thm)],[26390, 26389])).
% 25.73/17.47 tff(26392,plain,
% 25.73/17.47 (v127(constB173, bitIndex0) | (~v129(constB174, bitIndex0))),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26391, 1359, 26262])).
% 25.73/17.47 tff(26393,plain,
% 25.73/17.47 (~v129(constB174, bitIndex0)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26392, 26388])).
% 25.73/17.47 tff(26394,plain,
% 25.73/17.47 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | v129(constB174, bitIndex0) | (~v100(constB174)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB174, bitIndex0)) | v129(constB174, bitIndex0) | (~v100(constB174)))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26395,plain,
% 25.73/17.47 (((~v90(constB174, bitIndex0)) | (~v100(constB174)) | v129(constB174, bitIndex0)) <=> ((~v90(constB174, bitIndex0)) | v129(constB174, bitIndex0) | (~v100(constB174)))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.47 tff(26396,plain,
% 25.73/17.47 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | (~v100(constB174)) | v129(constB174, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | v129(constB174, bitIndex0) | (~v100(constB174))))),
% 25.73/17.47 inference(monotonicity,[status(thm)],[26395])).
% 25.73/17.47 tff(26397,plain,
% 25.73/17.47 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | (~v100(constB174)) | v129(constB174, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB174, bitIndex0)) | v129(constB174, bitIndex0) | (~v100(constB174)))),
% 25.73/17.47 inference(transitivity,[status(thm)],[26396, 26394])).
% 25.73/17.47 tff(26398,plain,
% 25.73/17.47 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | (~v100(constB174)) | v129(constB174, bitIndex0))),
% 25.73/17.47 inference(quant_inst,[status(thm)],[])).
% 25.73/17.47 tff(26399,plain,
% 25.73/17.47 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB174, bitIndex0)) | v129(constB174, bitIndex0) | (~v100(constB174))),
% 25.73/17.47 inference(modus_ponens,[status(thm)],[26398, 26397])).
% 25.73/17.47 tff(26400,plain,
% 25.73/17.47 ((~v90(constB174, bitIndex0)) | (~v100(constB174))),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26399, 1374, 26393])).
% 25.73/17.47 tff(26401,plain,
% 25.73/17.47 (~v90(constB174, bitIndex0)),
% 25.73/17.47 inference(unit_resolution,[status(thm)],[26400, 26296])).
% 25.73/17.47 tff(26402,plain,
% 25.73/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex0)))),
% 25.73/17.47 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26403,plain,
% 25.73/17.48 (((~nextState(constB174, constB175)) | v90(constB174, bitIndex0) | v100(constB175) | (~v90(constB175, bitIndex0))) <=> (v90(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex0)))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26404,plain,
% 25.73/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB174, constB175)) | v90(constB174, bitIndex0) | v100(constB175) | (~v90(constB175, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex0))))),
% 25.73/17.48 inference(monotonicity,[status(thm)],[26403])).
% 25.73/17.48 tff(26405,plain,
% 25.73/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB174, constB175)) | v90(constB174, bitIndex0) | v100(constB175) | (~v90(constB175, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex0)))),
% 25.73/17.48 inference(transitivity,[status(thm)],[26404, 26402])).
% 25.73/17.48 tff(26406,plain,
% 25.73/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB174, constB175)) | v90(constB174, bitIndex0) | v100(constB175) | (~v90(constB175, bitIndex0)))),
% 25.73/17.48 inference(quant_inst,[status(thm)],[])).
% 25.73/17.48 tff(26407,plain,
% 25.73/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex0))),
% 25.73/17.48 inference(modus_ponens,[status(thm)],[26406, 26405])).
% 25.73/17.48 tff(26408,plain,
% 25.73/17.48 (v90(constB174, bitIndex0) | v100(constB175) | (~v90(constB175, bitIndex0))),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26407, 934, 26324])).
% 25.73/17.48 tff(26409,plain,
% 25.73/17.48 (v90(constB174, bitIndex0) | (~v90(constB175, bitIndex0))),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26408, 26336])).
% 25.73/17.48 tff(26410,plain,
% 25.73/17.48 (~v90(constB175, bitIndex0)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26409, 26401])).
% 25.73/17.48 tff(26411,plain,
% 25.73/17.48 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)) | v125(constB175))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)) | v125(constB175))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26412,plain,
% 25.73/17.48 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)) | v125(constB175))),
% 25.73/17.48 inference(quant_inst,[status(thm)],[])).
% 25.73/17.48 tff(26413,plain,
% 25.73/17.48 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)) | v125(constB175)),
% 25.73/17.48 inference(modus_ponens,[status(thm)],[26412, 26411])).
% 25.73/17.48 tff(26414,plain,
% 25.73/17.48 (v125(constB175)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26413, 1661, 26410, 26376, 26345])).
% 25.73/17.48 tff(26415,plain,
% 25.73/17.48 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB175)) | v113(constB175))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB175)) | v113(constB175))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26416,plain,
% 25.73/17.48 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB175)) | v113(constB175))),
% 25.73/17.48 inference(quant_inst,[status(thm)],[])).
% 25.73/17.48 tff(26417,plain,
% 25.73/17.48 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB175)) | v113(constB175)),
% 25.73/17.48 inference(modus_ponens,[status(thm)],[26416, 26415])).
% 25.73/17.48 tff(26418,plain,
% 25.73/17.48 (v113(constB175)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26417, 1672, 26414])).
% 25.73/17.48 tff(26419,assumption,(v26(constB175)), introduced(assumption)).
% 25.73/17.48 tff(26420,plain,
% 25.73/17.48 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB175))),
% 25.73/17.48 inference(quant_inst,[status(thm)],[])).
% 25.73/17.48 tff(26421,plain,
% 25.73/17.48 ($false),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26420, 797, 26419])).
% 25.73/17.48 tff(26422,plain,(~v26(constB175)), inference(lemma,lemma(discharge,[]))).
% 25.73/17.48 tff(26423,plain,
% 25.73/17.48 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | (~v113(constB175)) | v112(constB175))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26424,plain,
% 25.73/17.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))),
% 25.73/17.48 inference(quant_inst,[status(thm)],[])).
% 25.73/17.48 tff(26425,plain,
% 25.73/17.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | (~v113(constB175)) | v112(constB175)),
% 25.73/17.48 inference(modus_ponens,[status(thm)],[26424, 26423])).
% 25.73/17.48 tff(26426,plain,
% 25.73/17.48 ((~v113(constB175)) | v112(constB175)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26425, 1050, 26422])).
% 25.73/17.48 tff(26427,plain,
% 25.73/17.48 (v112(constB175)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26426, 26418])).
% 25.73/17.48 tff(26428,plain,
% 25.73/17.48 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB175) | (~v112(constB175)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v112(constB175)))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26429,plain,
% 25.73/17.48 (((~v112(constB175)) | v108(constB175)) <=> (v108(constB175) | (~v112(constB175)))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26430,plain,
% 25.73/17.48 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB175)) | v108(constB175))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB175) | (~v112(constB175))))),
% 25.73/17.48 inference(monotonicity,[status(thm)],[26429])).
% 25.73/17.48 tff(26431,plain,
% 25.73/17.48 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB175)) | v108(constB175))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v112(constB175)))),
% 25.73/17.48 inference(transitivity,[status(thm)],[26430, 26428])).
% 25.73/17.48 tff(26432,plain,
% 25.73/17.48 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB175)) | v108(constB175))),
% 25.73/17.48 inference(quant_inst,[status(thm)],[])).
% 25.73/17.48 tff(26433,plain,
% 25.73/17.48 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v112(constB175))),
% 25.73/17.48 inference(modus_ponens,[status(thm)],[26432, 26431])).
% 25.73/17.48 tff(26434,plain,
% 25.73/17.48 (v108(constB175)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26433, 1062, 26427])).
% 25.73/17.48 tff(26435,plain,
% 25.73/17.48 (nextState(constB175, constB176) <=> nextState(constB175, constB176)),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26436,axiom,(nextState(constB175, constB176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_175_1')).
% 25.73/17.48 tff(26437,plain,
% 25.73/17.48 (nextState(constB175, constB176)),
% 25.73/17.48 inference(modus_ponens,[status(thm)],[26436, 26435])).
% 25.73/17.48 tff(26438,plain,
% 25.73/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26439,plain,
% 25.73/17.48 (((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176)) <=> ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26440,plain,
% 25.73/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175))))),
% 25.73/17.48 inference(monotonicity,[status(thm)],[26439])).
% 25.73/17.48 tff(26441,plain,
% 25.73/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 25.73/17.48 inference(transitivity,[status(thm)],[26440, 26438])).
% 25.73/17.48 tff(26442,plain,
% 25.73/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))),
% 25.73/17.48 inference(quant_inst,[status(thm)],[])).
% 25.73/17.48 tff(26443,plain,
% 25.73/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175))),
% 25.73/17.48 inference(modus_ponens,[status(thm)],[26442, 26441])).
% 25.73/17.48 tff(26444,plain,
% 25.73/17.48 (v110(constB176) | (~v108(constB175))),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26443, 1082, 26437])).
% 25.73/17.48 tff(26445,plain,
% 25.73/17.48 (v110(constB176)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26444, 26434])).
% 25.73/17.48 tff(26446,plain,
% 25.73/17.48 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26447,plain,
% 25.73/17.48 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))),
% 25.73/17.48 inference(quant_inst,[status(thm)],[])).
% 25.73/17.48 tff(26448,plain,
% 25.73/17.48 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176))),
% 25.73/17.48 inference(modus_ponens,[status(thm)],[26447, 26446])).
% 25.73/17.48 tff(26449,plain,
% 25.73/17.48 (~v104(constB176)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26448, 1100, 26437, 26321])).
% 25.73/17.48 tff(26450,plain,
% 25.73/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26451,plain,
% 25.73/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))),
% 25.73/17.48 inference(quant_inst,[status(thm)],[])).
% 25.73/17.48 tff(26452,plain,
% 25.73/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v102(constB176) | v104(constB176)),
% 25.73/17.48 inference(modus_ponens,[status(thm)],[26451, 26450])).
% 25.73/17.48 tff(26453,plain,
% 25.73/17.48 (v102(constB176) | v104(constB176)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26452, 1114, 26437])).
% 25.73/17.48 tff(26454,plain,
% 25.73/17.48 (v102(constB176)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26453, 26449])).
% 25.73/17.48 tff(26455,plain,
% 25.73/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26456,plain,
% 25.73/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))),
% 25.73/17.48 inference(quant_inst,[status(thm)],[])).
% 25.73/17.48 tff(26457,plain,
% 25.73/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176))),
% 25.73/17.48 inference(modus_ponens,[status(thm)],[26456, 26455])).
% 25.73/17.48 tff(26458,plain,
% 25.73/17.48 (v101(constB176) | (~v102(constB176))),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26457, 1129, 26437, 141])).
% 25.73/17.48 tff(26459,plain,
% 25.73/17.48 (v101(constB176)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26458, 26454])).
% 25.73/17.48 tff(26460,plain,
% 25.73/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26461,plain,
% 25.73/17.48 (((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176)) <=> ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26462,plain,
% 25.73/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176))))),
% 25.73/17.48 inference(monotonicity,[status(thm)],[26461])).
% 25.73/17.48 tff(26463,plain,
% 25.73/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 25.73/17.48 inference(transitivity,[status(thm)],[26462, 26460])).
% 25.73/17.48 tff(26464,plain,
% 25.73/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))),
% 25.73/17.48 inference(quant_inst,[status(thm)],[])).
% 25.73/17.48 tff(26465,plain,
% 25.73/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 25.73/17.48 inference(modus_ponens,[status(thm)],[26464, 26463])).
% 25.73/17.48 tff(26466,plain,
% 25.73/17.48 (v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26465, 1144, 26437])).
% 25.73/17.48 tff(26467,plain,
% 25.73/17.48 (v100(constB176) | (~v110(constB176))),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26466, 26459])).
% 25.73/17.48 tff(26468,plain,
% 25.73/17.48 (v100(constB176)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26467, 26445])).
% 25.73/17.48 tff(26469,plain,
% 25.73/17.48 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB175)) | (~v90(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB175)) | (~v90(constB175, bitIndex1)))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26470,plain,
% 25.73/17.48 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB175)) | (~v90(constB175, bitIndex1)))),
% 25.73/17.48 inference(quant_inst,[status(thm)],[])).
% 25.73/17.48 tff(26471,plain,
% 25.73/17.48 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB175)) | (~v90(constB175, bitIndex1))),
% 25.73/17.48 inference(modus_ponens,[status(thm)],[26470, 26469])).
% 25.73/17.48 tff(26472,plain,
% 25.73/17.48 (~v120(constB175)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26471, 1762, 26376])).
% 25.73/17.48 tff(26473,plain,
% 25.73/17.48 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB175)) | (~v90(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB175)) | (~v90(constB175, bitIndex1)))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26474,plain,
% 25.73/17.48 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB175)) | (~v90(constB175, bitIndex1)))),
% 25.73/17.48 inference(quant_inst,[status(thm)],[])).
% 25.73/17.48 tff(26475,plain,
% 25.73/17.48 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB175)) | (~v90(constB175, bitIndex1))),
% 25.73/17.48 inference(modus_ponens,[status(thm)],[26474, 26473])).
% 25.73/17.48 tff(26476,plain,
% 25.73/17.48 (~v123(constB175)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26475, 1773, 26376])).
% 25.73/17.48 tff(26477,assumption,(~v90(constB175, bitIndex0)), introduced(assumption)).
% 25.73/17.48 tff(26478,plain,
% 25.73/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26479,plain,
% 25.73/17.48 (((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0)) <=> ((~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26480,plain,
% 25.73/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0)))),
% 25.73/17.48 inference(monotonicity,[status(thm)],[26479])).
% 25.73/17.48 tff(26481,plain,
% 25.73/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0))),
% 25.73/17.48 inference(transitivity,[status(thm)],[26480, 26478])).
% 25.73/17.48 tff(26482,plain,
% 25.73/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0))),
% 25.73/17.48 inference(quant_inst,[status(thm)],[])).
% 25.73/17.48 tff(26483,plain,
% 25.73/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0)),
% 25.73/17.48 inference(modus_ponens,[status(thm)],[26482, 26481])).
% 25.73/17.48 tff(26484,plain,
% 25.73/17.48 ((~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26483, 1993, 26324])).
% 25.73/17.48 tff(26485,plain,
% 25.73/17.48 ((~v90(constB174, bitIndex0)) | v90(constB175, bitIndex0)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26484, 26336])).
% 25.73/17.48 tff(26486,plain,
% 25.73/17.48 (~v90(constB174, bitIndex0)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26485, 26477])).
% 25.73/17.48 tff(26487,assumption,(v130(constB175, bitIndex2)), introduced(assumption)).
% 25.73/17.48 tff(26488,plain,
% 25.73/17.48 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB175)) | (~v130(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB175)) | (~v130(constB175, bitIndex2)))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26489,plain,
% 25.73/17.48 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB175)) | (~v130(constB175, bitIndex2)))),
% 25.73/17.48 inference(quant_inst,[status(thm)],[])).
% 25.73/17.48 tff(26490,plain,
% 25.73/17.48 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB175)) | (~v130(constB175, bitIndex2))),
% 25.73/17.48 inference(modus_ponens,[status(thm)],[26489, 26488])).
% 25.73/17.48 tff(26491,plain,
% 25.73/17.48 (~v124(constB175)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26490, 4807, 26487])).
% 25.73/17.48 tff(26492,assumption,(~v123(constB175)), introduced(assumption)).
% 25.73/17.48 tff(26493,plain,
% 25.73/17.48 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB175)) | (~v130(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB175)) | (~v130(constB175, bitIndex2)))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26494,plain,
% 25.73/17.48 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB175)) | (~v130(constB175, bitIndex2)))),
% 25.73/17.48 inference(quant_inst,[status(thm)],[])).
% 25.73/17.48 tff(26495,plain,
% 25.73/17.48 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB175)) | (~v130(constB175, bitIndex2))),
% 25.73/17.48 inference(modus_ponens,[status(thm)],[26494, 26493])).
% 25.73/17.48 tff(26496,plain,
% 25.73/17.48 (~v121(constB175)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26495, 2406, 26487])).
% 25.73/17.48 tff(26497,plain,
% 25.73/17.48 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB175)) | v90(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB175)) | v90(constB175, bitIndex0))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26498,plain,
% 25.73/17.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB175)) | v90(constB175, bitIndex0))),
% 25.73/17.48 inference(quant_inst,[status(thm)],[])).
% 25.73/17.48 tff(26499,plain,
% 25.73/17.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB175)) | v90(constB175, bitIndex0)),
% 25.73/17.48 inference(modus_ponens,[status(thm)],[26498, 26497])).
% 25.73/17.48 tff(26500,plain,
% 25.73/17.48 (~v122(constB175)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26499, 3163, 26477])).
% 25.73/17.48 tff(26501,assumption,(~v120(constB175)), introduced(assumption)).
% 25.73/17.48 tff(26502,plain,
% 25.73/17.48 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex2)))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26503,plain,
% 25.73/17.48 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex2)))),
% 25.73/17.48 inference(quant_inst,[status(thm)],[])).
% 25.73/17.48 tff(26504,plain,
% 25.73/17.48 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex2))),
% 25.73/17.48 inference(modus_ponens,[status(thm)],[26503, 26502])).
% 25.73/17.48 tff(26505,plain,
% 25.73/17.48 (v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex2))),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26504, 1798, 26501])).
% 25.73/17.48 tff(26506,plain,
% 25.73/17.48 (v119(constB175)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26505, 26500, 26487, 26496, 26492, 26491])).
% 25.73/17.48 tff(26507,plain,
% 25.73/17.48 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB175)) | (~v90(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB175)) | (~v90(constB175, bitIndex1)))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26508,plain,
% 25.73/17.48 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB175)) | (~v90(constB175, bitIndex1)))),
% 25.73/17.48 inference(quant_inst,[status(thm)],[])).
% 25.73/17.48 tff(26509,plain,
% 25.73/17.48 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB175)) | (~v90(constB175, bitIndex1))),
% 25.73/17.48 inference(modus_ponens,[status(thm)],[26508, 26507])).
% 25.73/17.48 tff(26510,plain,
% 25.73/17.48 (~v90(constB175, bitIndex1)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26509, 1751, 26506])).
% 25.73/17.48 tff(26511,plain,
% 25.73/17.48 (~v90(constB174, bitIndex1)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26375, 26510])).
% 25.73/17.48 tff(26512,plain,
% 25.73/17.48 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB175)) | (~v90(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB175)) | (~v90(constB175, bitIndex2)))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26513,plain,
% 25.73/17.48 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB175)) | (~v90(constB175, bitIndex2)))),
% 25.73/17.48 inference(quant_inst,[status(thm)],[])).
% 25.73/17.48 tff(26514,plain,
% 25.73/17.48 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB175)) | (~v90(constB175, bitIndex2))),
% 25.73/17.48 inference(modus_ponens,[status(thm)],[26513, 26512])).
% 25.73/17.48 tff(26515,plain,
% 25.73/17.48 (~v90(constB175, bitIndex2)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26514, 12236, 26506])).
% 25.73/17.48 tff(26516,plain,
% 25.73/17.48 (~v90(constB174, bitIndex2)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26344, 26515])).
% 25.73/17.48 tff(26517,assumption,(~v90(constB174, bitIndex2)), introduced(assumption)).
% 25.73/17.48 tff(26518,assumption,(~v100(constB174)), introduced(assumption)).
% 25.73/17.48 tff(26519,plain,
% 25.73/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB173, bitIndex2)) | (~nextState(constB173, constB174)) | v100(constB174) | v90(constB174, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB173, bitIndex2)) | (~nextState(constB173, constB174)) | v100(constB174) | v90(constB174, bitIndex2))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26520,plain,
% 25.73/17.48 (((~nextState(constB173, constB174)) | (~v90(constB173, bitIndex2)) | v100(constB174) | v90(constB174, bitIndex2)) <=> ((~v90(constB173, bitIndex2)) | (~nextState(constB173, constB174)) | v100(constB174) | v90(constB174, bitIndex2))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26521,plain,
% 25.73/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB173, constB174)) | (~v90(constB173, bitIndex2)) | v100(constB174) | v90(constB174, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB173, bitIndex2)) | (~nextState(constB173, constB174)) | v100(constB174) | v90(constB174, bitIndex2)))),
% 25.73/17.48 inference(monotonicity,[status(thm)],[26520])).
% 25.73/17.48 tff(26522,plain,
% 25.73/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB173, constB174)) | (~v90(constB173, bitIndex2)) | v100(constB174) | v90(constB174, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB173, bitIndex2)) | (~nextState(constB173, constB174)) | v100(constB174) | v90(constB174, bitIndex2))),
% 25.73/17.48 inference(transitivity,[status(thm)],[26521, 26519])).
% 25.73/17.48 tff(26523,plain,
% 25.73/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB173, constB174)) | (~v90(constB173, bitIndex2)) | v100(constB174) | v90(constB174, bitIndex2))),
% 25.73/17.48 inference(quant_inst,[status(thm)],[])).
% 25.73/17.48 tff(26524,plain,
% 25.73/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB173, bitIndex2)) | (~nextState(constB173, constB174)) | v100(constB174) | v90(constB174, bitIndex2)),
% 25.73/17.48 inference(modus_ponens,[status(thm)],[26523, 26522])).
% 25.73/17.48 tff(26525,plain,
% 25.73/17.48 ((~v90(constB173, bitIndex2)) | v100(constB174) | v90(constB174, bitIndex2)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26524, 1240, 26262])).
% 25.73/17.48 tff(26526,plain,
% 25.73/17.48 (~v90(constB173, bitIndex2)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26525, 26518, 26517])).
% 25.73/17.48 tff(26527,assumption,(~v90(constB174, bitIndex1)), introduced(assumption)).
% 25.73/17.48 tff(26528,plain,
% 25.73/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB173, bitIndex1)) | (~nextState(constB173, constB174)) | v100(constB174) | v90(constB174, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB173, bitIndex1)) | (~nextState(constB173, constB174)) | v100(constB174) | v90(constB174, bitIndex1))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26529,plain,
% 25.73/17.48 (((~nextState(constB173, constB174)) | (~v90(constB173, bitIndex1)) | v100(constB174) | v90(constB174, bitIndex1)) <=> ((~v90(constB173, bitIndex1)) | (~nextState(constB173, constB174)) | v100(constB174) | v90(constB174, bitIndex1))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26530,plain,
% 25.73/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v90(constB173, bitIndex1)) | v100(constB174) | v90(constB174, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB173, bitIndex1)) | (~nextState(constB173, constB174)) | v100(constB174) | v90(constB174, bitIndex1)))),
% 25.73/17.48 inference(monotonicity,[status(thm)],[26529])).
% 25.73/17.48 tff(26531,plain,
% 25.73/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v90(constB173, bitIndex1)) | v100(constB174) | v90(constB174, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB173, bitIndex1)) | (~nextState(constB173, constB174)) | v100(constB174) | v90(constB174, bitIndex1))),
% 25.73/17.48 inference(transitivity,[status(thm)],[26530, 26528])).
% 25.73/17.48 tff(26532,plain,
% 25.73/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v90(constB173, bitIndex1)) | v100(constB174) | v90(constB174, bitIndex1))),
% 25.73/17.48 inference(quant_inst,[status(thm)],[])).
% 25.73/17.48 tff(26533,plain,
% 25.73/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB173, bitIndex1)) | (~nextState(constB173, constB174)) | v100(constB174) | v90(constB174, bitIndex1)),
% 25.73/17.48 inference(modus_ponens,[status(thm)],[26532, 26531])).
% 25.73/17.48 tff(26534,plain,
% 25.73/17.48 ((~v90(constB173, bitIndex1)) | v100(constB174) | v90(constB174, bitIndex1)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26533, 1601, 26262])).
% 25.73/17.48 tff(26535,plain,
% 25.73/17.48 (~v90(constB173, bitIndex1)),
% 25.73/17.48 inference(unit_resolution,[status(thm)],[26534, 26518, 26527])).
% 25.73/17.48 tff(26536,assumption,(~v90(constB174, bitIndex0)), introduced(assumption)).
% 25.73/17.48 tff(26537,plain,
% 25.73/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB173, bitIndex0)) | (~nextState(constB173, constB174)) | v100(constB174) | v90(constB174, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB173, bitIndex0)) | (~nextState(constB173, constB174)) | v100(constB174) | v90(constB174, bitIndex0))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26538,plain,
% 25.73/17.48 (((~nextState(constB173, constB174)) | (~v90(constB173, bitIndex0)) | v100(constB174) | v90(constB174, bitIndex0)) <=> ((~v90(constB173, bitIndex0)) | (~nextState(constB173, constB174)) | v100(constB174) | v90(constB174, bitIndex0))),
% 25.73/17.48 inference(rewrite,[status(thm)],[])).
% 25.73/17.48 tff(26539,plain,
% 25.73/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB173, constB174)) | (~v90(constB173, bitIndex0)) | v100(constB174) | v90(constB174, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB173, bitIndex0)) | (~nextState(constB173, constB174)) | v100(constB174) | v90(constB174, bitIndex0)))),
% 25.73/17.48 inference(monotonicity,[status(thm)],[26538])).
% 25.73/17.48 tff(26540,plain,
% 25.73/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB173, constB174)) | (~v90(constB173, bitIndex0)) | v100(constB174) | v90(constB174, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB173, bitIndex0)) | (~nextState(constB173, constB174)) | v100(constB174) | v90(constB174, bitIndex0))),
% 25.73/17.49 inference(transitivity,[status(thm)],[26539, 26537])).
% 25.73/17.49 tff(26541,plain,
% 25.73/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB173, constB174)) | (~v90(constB173, bitIndex0)) | v100(constB174) | v90(constB174, bitIndex0))),
% 25.73/17.49 inference(quant_inst,[status(thm)],[])).
% 25.73/17.49 tff(26542,plain,
% 25.73/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB173, bitIndex0)) | (~nextState(constB173, constB174)) | v100(constB174) | v90(constB174, bitIndex0)),
% 25.73/17.49 inference(modus_ponens,[status(thm)],[26541, 26540])).
% 25.73/17.49 tff(26543,plain,
% 25.73/17.49 ((~v90(constB173, bitIndex0)) | v100(constB174) | v90(constB174, bitIndex0)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26542, 1993, 26262])).
% 25.73/17.49 tff(26544,plain,
% 25.73/17.49 (~v90(constB173, bitIndex0)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26543, 26518, 26536])).
% 25.73/17.49 tff(26545,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | v90(constB173, bitIndex2) | v119(constB173))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | v90(constB173, bitIndex2) | v119(constB173))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26546,plain,
% 25.73/17.49 ((v90(constB173, bitIndex0) | v119(constB173) | v90(constB173, bitIndex1) | v90(constB173, bitIndex2)) <=> (v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | v90(constB173, bitIndex2) | v119(constB173))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26547,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB173, bitIndex0) | v119(constB173) | v90(constB173, bitIndex1) | v90(constB173, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | v90(constB173, bitIndex2) | v119(constB173)))),
% 25.73/17.49 inference(monotonicity,[status(thm)],[26546])).
% 25.73/17.49 tff(26548,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB173, bitIndex0) | v119(constB173) | v90(constB173, bitIndex1) | v90(constB173, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | v90(constB173, bitIndex2) | v119(constB173))),
% 25.73/17.49 inference(transitivity,[status(thm)],[26547, 26545])).
% 25.73/17.49 tff(26549,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB173, bitIndex0) | v119(constB173) | v90(constB173, bitIndex1) | v90(constB173, bitIndex2))),
% 25.73/17.49 inference(quant_inst,[status(thm)],[])).
% 25.73/17.49 tff(26550,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | v90(constB173, bitIndex2) | v119(constB173)),
% 25.73/17.49 inference(modus_ponens,[status(thm)],[26549, 26548])).
% 25.73/17.49 tff(26551,plain,
% 25.73/17.49 (v119(constB173)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26550, 955, 26544, 26535, 26526])).
% 25.73/17.49 tff(26552,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB173)) | v118(constB173))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB173)) | v118(constB173))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26553,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB173)) | v118(constB173))),
% 25.73/17.49 inference(quant_inst,[status(thm)],[])).
% 25.73/17.49 tff(26554,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB173)) | v118(constB173)),
% 25.73/17.49 inference(modus_ponens,[status(thm)],[26553, 26552])).
% 25.73/17.49 tff(26555,plain,
% 25.73/17.49 (v118(constB173)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26554, 969, 26551])).
% 25.73/17.49 tff(26556,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB173) | (~v118(constB173)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB173) | (~v118(constB173)))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26557,plain,
% 25.73/17.49 (((~v118(constB173)) | v117(constB173)) <=> (v117(constB173) | (~v118(constB173)))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26558,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB173)) | v117(constB173))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB173) | (~v118(constB173))))),
% 25.73/17.49 inference(monotonicity,[status(thm)],[26557])).
% 25.73/17.49 tff(26559,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB173)) | v117(constB173))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB173) | (~v118(constB173)))),
% 25.73/17.49 inference(transitivity,[status(thm)],[26558, 26556])).
% 25.73/17.49 tff(26560,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB173)) | v117(constB173))),
% 25.73/17.49 inference(quant_inst,[status(thm)],[])).
% 25.73/17.49 tff(26561,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB173) | (~v118(constB173))),
% 25.73/17.49 inference(modus_ponens,[status(thm)],[26560, 26559])).
% 25.73/17.49 tff(26562,plain,
% 25.73/17.49 (v117(constB173)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26561, 980, 26555])).
% 25.73/17.49 tff(26563,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB173) | (~v117(constB173)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB173) | (~v117(constB173)))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26564,plain,
% 25.73/17.49 (((~v117(constB173)) | v116(constB173)) <=> (v116(constB173) | (~v117(constB173)))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26565,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB173)) | v116(constB173))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB173) | (~v117(constB173))))),
% 25.73/17.49 inference(monotonicity,[status(thm)],[26564])).
% 25.73/17.49 tff(26566,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB173)) | v116(constB173))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB173) | (~v117(constB173)))),
% 25.73/17.49 inference(transitivity,[status(thm)],[26565, 26563])).
% 25.73/17.49 tff(26567,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB173)) | v116(constB173))),
% 25.73/17.49 inference(quant_inst,[status(thm)],[])).
% 25.73/17.49 tff(26568,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB173) | (~v117(constB173))),
% 25.73/17.49 inference(modus_ponens,[status(thm)],[26567, 26566])).
% 25.73/17.49 tff(26569,plain,
% 25.73/17.49 (v116(constB173)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26568, 994, 26562])).
% 25.73/17.49 tff(26570,plain,
% 25.73/17.49 (~v110(constB174)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26295, 26518])).
% 25.73/17.49 tff(26571,plain,
% 25.73/17.49 (~v108(constB173)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26269, 26570])).
% 25.73/17.49 tff(26572,plain,
% 25.73/17.49 (~v112(constB173)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26258, 1062, 26571])).
% 25.73/17.49 tff(26573,plain,
% 25.73/17.49 (~v113(constB173)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26251, 26572])).
% 25.73/17.49 tff(26574,plain,
% 25.73/17.49 (~v114(constB173)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26239, 1036, 26573])).
% 25.73/17.49 tff(26575,plain,
% 25.73/17.49 (~v115(constB173)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26232, 1022, 26574])).
% 25.73/17.49 tff(26576,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB173) | (~v116(constB173)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB173) | (~v116(constB173)))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26577,plain,
% 25.73/17.49 (((~v116(constB173)) | v115(constB173)) <=> (v115(constB173) | (~v116(constB173)))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26578,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB173)) | v115(constB173))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB173) | (~v116(constB173))))),
% 25.73/17.49 inference(monotonicity,[status(thm)],[26577])).
% 25.73/17.49 tff(26579,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB173)) | v115(constB173))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB173) | (~v116(constB173)))),
% 25.73/17.49 inference(transitivity,[status(thm)],[26578, 26576])).
% 25.73/17.49 tff(26580,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB173)) | v115(constB173))),
% 25.73/17.49 inference(quant_inst,[status(thm)],[])).
% 25.73/17.49 tff(26581,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB173) | (~v116(constB173))),
% 25.73/17.49 inference(modus_ponens,[status(thm)],[26580, 26579])).
% 25.73/17.49 tff(26582,plain,
% 25.73/17.49 ($false),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26581, 1008, 26575, 26569])).
% 25.73/17.49 tff(26583,plain,(v100(constB174) | v90(constB174, bitIndex2) | v90(constB174, bitIndex1) | v90(constB174, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.73/17.49 tff(26584,plain,
% 25.73/17.49 (v100(constB174)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26583, 26516, 26511, 26486])).
% 25.73/17.49 tff(26585,plain,
% 25.73/17.49 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174)))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26586,plain,
% 25.73/17.49 ((v90(constB174, bitIndex0) | (~v100(constB174)) | (~v129(constB174, bitIndex0))) <=> (v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174)))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26587,plain,
% 25.73/17.49 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v100(constB174)) | (~v129(constB174, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174))))),
% 25.73/17.49 inference(monotonicity,[status(thm)],[26586])).
% 25.73/17.49 tff(26588,plain,
% 25.73/17.49 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v100(constB174)) | (~v129(constB174, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174)))),
% 25.73/17.49 inference(transitivity,[status(thm)],[26587, 26585])).
% 25.73/17.49 tff(26589,plain,
% 25.73/17.49 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v100(constB174)) | (~v129(constB174, bitIndex0)))),
% 25.73/17.49 inference(quant_inst,[status(thm)],[])).
% 25.73/17.49 tff(26590,plain,
% 25.73/17.49 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174))),
% 25.73/17.49 inference(modus_ponens,[status(thm)],[26589, 26588])).
% 25.73/17.49 tff(26591,plain,
% 25.73/17.49 ((~v129(constB174, bitIndex0)) | (~v100(constB174))),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26590, 1975, 26486])).
% 25.73/17.49 tff(26592,plain,
% 25.73/17.49 (~v129(constB174, bitIndex0)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26591, 26584])).
% 25.73/17.49 tff(26593,plain,
% 25.73/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26594,plain,
% 25.73/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0))),
% 25.73/17.49 inference(quant_inst,[status(thm)],[])).
% 25.73/17.49 tff(26595,plain,
% 25.73/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0)),
% 25.73/17.49 inference(modus_ponens,[status(thm)],[26594, 26593])).
% 25.73/17.49 tff(26596,plain,
% 25.73/17.49 ((~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26595, 1960, 26262])).
% 25.73/17.49 tff(26597,plain,
% 25.73/17.49 (~v127(constB173, bitIndex0)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26596, 26592])).
% 25.73/17.49 tff(26598,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB173) | (~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB173) | (~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26599,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB173) | (~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0))),
% 25.73/17.49 inference(quant_inst,[status(thm)],[])).
% 25.73/17.49 tff(26600,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB173) | (~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0)),
% 25.73/17.49 inference(modus_ponens,[status(thm)],[26599, 26598])).
% 25.73/17.49 tff(26601,plain,
% 25.73/17.49 ((~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26600, 1945, 26244])).
% 25.73/17.49 tff(26602,plain,
% 25.73/17.49 (~v130(constB173, bitIndex0)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26601, 26597])).
% 25.73/17.49 tff(26603,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB173)) | v130(constB173, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB173)) | v130(constB173, bitIndex0))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26604,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB173)) | v130(constB173, bitIndex0))),
% 25.73/17.49 inference(quant_inst,[status(thm)],[])).
% 25.73/17.49 tff(26605,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB173)) | v130(constB173, bitIndex0)),
% 25.73/17.49 inference(modus_ponens,[status(thm)],[26604, 26603])).
% 25.73/17.49 tff(26606,plain,
% 25.73/17.49 (~v124(constB173)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26605, 7189, 26602])).
% 25.73/17.49 tff(26607,plain,
% 25.73/17.49 ((~v129(constB174, bitIndex2)) | (~v100(constB174))),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26316, 1204, 26516])).
% 25.73/17.49 tff(26608,plain,
% 25.73/17.49 (~v129(constB174, bitIndex2)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26607, 26584])).
% 25.73/17.49 tff(26609,plain,
% 25.73/17.49 (~v127(constB173, bitIndex2)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26309, 26608])).
% 25.73/17.49 tff(26610,plain,
% 25.73/17.49 (~v130(constB173, bitIndex2)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26304, 26609])).
% 25.73/17.49 tff(26611,plain,
% 25.73/17.49 (~v123(constB173)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26299, 1483, 26610])).
% 25.73/17.49 tff(26612,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB173)) | v130(constB173, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB173)) | v130(constB173, bitIndex2))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26613,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB173)) | v130(constB173, bitIndex2))),
% 25.73/17.49 inference(quant_inst,[status(thm)],[])).
% 25.73/17.49 tff(26614,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB173)) | v130(constB173, bitIndex2)),
% 25.73/17.49 inference(modus_ponens,[status(thm)],[26613, 26612])).
% 25.73/17.49 tff(26615,plain,
% 25.73/17.49 (~v122(constB173)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26614, 2736, 26610])).
% 25.73/17.49 tff(26616,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB173)) | v130(constB173, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB173)) | v130(constB173, bitIndex0))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26617,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB173)) | v130(constB173, bitIndex0))),
% 25.73/17.49 inference(quant_inst,[status(thm)],[])).
% 25.73/17.49 tff(26618,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB173)) | v130(constB173, bitIndex0)),
% 25.73/17.49 inference(modus_ponens,[status(thm)],[26617, 26616])).
% 25.73/17.49 tff(26619,plain,
% 25.73/17.49 (~v121(constB173)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26618, 2600, 26602])).
% 25.73/17.49 tff(26620,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB173)) | v130(constB173, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB173)) | v130(constB173, bitIndex2))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26621,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB173)) | v130(constB173, bitIndex2))),
% 25.73/17.49 inference(quant_inst,[status(thm)],[])).
% 25.73/17.49 tff(26622,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB173)) | v130(constB173, bitIndex2)),
% 25.73/17.49 inference(modus_ponens,[status(thm)],[26621, 26620])).
% 25.73/17.49 tff(26623,plain,
% 25.73/17.49 (~v119(constB173)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26622, 1160, 26610])).
% 25.73/17.49 tff(26624,plain,
% 25.73/17.49 ((~v129(constB174, bitIndex1)) | (~v100(constB174))),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26365, 1583, 26511])).
% 25.73/17.49 tff(26625,plain,
% 25.73/17.49 (~v129(constB174, bitIndex1)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26624, 26584])).
% 25.73/17.49 tff(26626,plain,
% 25.73/17.49 (~v127(constB173, bitIndex1)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26358, 26625])).
% 25.73/17.49 tff(26627,plain,
% 25.73/17.49 (~v130(constB173, bitIndex1)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26353, 26626])).
% 25.73/17.49 tff(26628,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB173)) | v130(constB173, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB173)) | v130(constB173, bitIndex1))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26629,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB173)) | v130(constB173, bitIndex1))),
% 25.73/17.49 inference(quant_inst,[status(thm)],[])).
% 25.73/17.49 tff(26630,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB173)) | v130(constB173, bitIndex1)),
% 25.73/17.49 inference(modus_ponens,[status(thm)],[26629, 26628])).
% 25.73/17.49 tff(26631,plain,
% 25.73/17.49 (~v120(constB173)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26630, 2034, 26627])).
% 25.73/17.49 tff(26632,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB173) | v120(constB173) | v121(constB173) | v122(constB173) | v123(constB173) | v124(constB173) | v130(constB173, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB173) | v120(constB173) | v121(constB173) | v122(constB173) | v123(constB173) | v124(constB173) | v130(constB173, bitIndex0))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26633,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB173) | v120(constB173) | v121(constB173) | v122(constB173) | v123(constB173) | v124(constB173) | v130(constB173, bitIndex0))),
% 25.73/17.49 inference(quant_inst,[status(thm)],[])).
% 25.73/17.49 tff(26634,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB173) | v120(constB173) | v121(constB173) | v122(constB173) | v123(constB173) | v124(constB173) | v130(constB173, bitIndex0)),
% 25.73/17.49 inference(modus_ponens,[status(thm)],[26633, 26632])).
% 25.73/17.49 tff(26635,plain,
% 25.73/17.49 (v119(constB173) | v120(constB173) | v121(constB173) | v122(constB173) | v123(constB173) | v124(constB173)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26634, 1931, 26602])).
% 25.73/17.49 tff(26636,plain,
% 25.73/17.49 ($false),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26635, 26631, 26623, 26619, 26615, 26611, 26606])).
% 25.73/17.49 tff(26637,plain,(v90(constB175, bitIndex0) | (~v130(constB175, bitIndex2)) | v123(constB175) | v120(constB175)), inference(lemma,lemma(discharge,[]))).
% 25.73/17.49 tff(26638,plain,
% 25.73/17.49 (~v130(constB175, bitIndex2)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26637, 26476, 26410, 26472])).
% 25.73/17.49 tff(26639,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB175, bitIndex2)) | v26(constB175) | v130(constB175, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB175, bitIndex2)) | v26(constB175) | v130(constB175, bitIndex2))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26640,plain,
% 25.73/17.49 ((v26(constB175) | v130(constB175, bitIndex2) | (~v127(constB175, bitIndex2))) <=> ((~v127(constB175, bitIndex2)) | v26(constB175) | v130(constB175, bitIndex2))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26641,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB175) | v130(constB175, bitIndex2) | (~v127(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB175, bitIndex2)) | v26(constB175) | v130(constB175, bitIndex2)))),
% 25.73/17.49 inference(monotonicity,[status(thm)],[26640])).
% 25.73/17.49 tff(26642,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB175) | v130(constB175, bitIndex2) | (~v127(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB175, bitIndex2)) | v26(constB175) | v130(constB175, bitIndex2))),
% 25.73/17.49 inference(transitivity,[status(thm)],[26641, 26639])).
% 25.73/17.49 tff(26643,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB175) | v130(constB175, bitIndex2) | (~v127(constB175, bitIndex2)))),
% 25.73/17.49 inference(quant_inst,[status(thm)],[])).
% 25.73/17.49 tff(26644,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB175, bitIndex2)) | v26(constB175) | v130(constB175, bitIndex2)),
% 25.73/17.49 inference(modus_ponens,[status(thm)],[26643, 26642])).
% 25.73/17.49 tff(26645,plain,
% 25.73/17.49 ((~v127(constB175, bitIndex2)) | v130(constB175, bitIndex2)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26644, 1812, 26422])).
% 25.73/17.49 tff(26646,plain,
% 25.73/17.49 (~v127(constB175, bitIndex2)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26645, 26638])).
% 25.73/17.49 tff(26647,plain,
% 25.73/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex2) | (~v129(constB176, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex2) | (~v129(constB176, bitIndex2)))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26648,plain,
% 25.73/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex2) | (~v129(constB176, bitIndex2)))),
% 25.73/17.49 inference(quant_inst,[status(thm)],[])).
% 25.73/17.49 tff(26649,plain,
% 25.73/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex2) | (~v129(constB176, bitIndex2))),
% 25.73/17.49 inference(modus_ponens,[status(thm)],[26648, 26647])).
% 25.73/17.49 tff(26650,plain,
% 25.73/17.49 (v127(constB175, bitIndex2) | (~v129(constB176, bitIndex2))),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26649, 1830, 26437])).
% 25.73/17.49 tff(26651,plain,
% 25.73/17.49 (~v129(constB176, bitIndex2)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26650, 26646])).
% 25.73/17.49 tff(26652,plain,
% 25.73/17.49 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB176, bitIndex2)) | v129(constB176, bitIndex2) | (~v100(constB176)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB176, bitIndex2)) | v129(constB176, bitIndex2) | (~v100(constB176)))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26653,plain,
% 25.73/17.49 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB176, bitIndex2)) | v129(constB176, bitIndex2) | (~v100(constB176)))),
% 25.73/17.49 inference(quant_inst,[status(thm)],[])).
% 25.73/17.49 tff(26654,plain,
% 25.73/17.49 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB176, bitIndex2)) | v129(constB176, bitIndex2) | (~v100(constB176))),
% 25.73/17.49 inference(modus_ponens,[status(thm)],[26653, 26652])).
% 25.73/17.49 tff(26655,plain,
% 25.73/17.49 ((~v90(constB176, bitIndex2)) | (~v100(constB176))),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26654, 1845, 26651])).
% 25.73/17.49 tff(26656,plain,
% 25.73/17.49 (~v90(constB176, bitIndex2)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26655, 26468])).
% 25.73/17.49 tff(26657,plain,
% 25.73/17.49 ((~v1(constB177)) <=> (~v1(constB177))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26658,axiom,(~v1(constB177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_177_1_1')).
% 25.73/17.49 tff(26659,plain,
% 25.73/17.49 (~v1(constB177)),
% 25.73/17.49 inference(modus_ponens,[status(thm)],[26658, 26657])).
% 25.73/17.49 tff(26660,plain,
% 25.73/17.49 (nextState(constB176, constB177) <=> nextState(constB176, constB177)),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26661,axiom,(nextState(constB176, constB177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_176_1')).
% 25.73/17.49 tff(26662,plain,
% 25.73/17.49 (nextState(constB176, constB177)),
% 25.73/17.49 inference(modus_ponens,[status(thm)],[26661, 26660])).
% 25.73/17.49 tff(26663,plain,
% 25.73/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26664,plain,
% 25.73/17.49 (((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177)) <=> (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26665,plain,
% 25.73/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177))))),
% 25.73/17.49 inference(monotonicity,[status(thm)],[26664])).
% 25.73/17.49 tff(26666,plain,
% 25.73/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 25.73/17.49 inference(transitivity,[status(thm)],[26665, 26663])).
% 25.73/17.49 tff(26667,plain,
% 25.73/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))),
% 25.73/17.49 inference(quant_inst,[status(thm)],[])).
% 25.73/17.49 tff(26668,plain,
% 25.73/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177))),
% 25.73/17.49 inference(modus_ponens,[status(thm)],[26667, 26666])).
% 25.73/17.49 tff(26669,plain,
% 25.73/17.49 (~v101(constB177)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26668, 860, 26662, 26659])).
% 25.73/17.49 tff(26670,plain,
% 25.73/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26671,plain,
% 25.73/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))),
% 25.73/17.49 inference(quant_inst,[status(thm)],[])).
% 25.73/17.49 tff(26672,plain,
% 25.73/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177))),
% 25.73/17.49 inference(modus_ponens,[status(thm)],[26671, 26670])).
% 25.73/17.49 tff(26673,plain,
% 25.73/17.49 (v101(constB177) | (~v100(constB177))),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26672, 877, 26662])).
% 25.73/17.49 tff(26674,plain,
% 25.73/17.49 (~v100(constB177)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26673, 26669])).
% 25.73/17.49 tff(26675,plain,
% 25.73/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex2)))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26676,plain,
% 25.73/17.49 (((~nextState(constB176, constB177)) | v90(constB176, bitIndex2) | v100(constB177) | (~v90(constB177, bitIndex2))) <=> (v90(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex2)))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26677,plain,
% 25.73/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex2) | v100(constB177) | (~v90(constB177, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex2))))),
% 25.73/17.49 inference(monotonicity,[status(thm)],[26676])).
% 25.73/17.49 tff(26678,plain,
% 25.73/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex2) | v100(constB177) | (~v90(constB177, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex2)))),
% 25.73/17.49 inference(transitivity,[status(thm)],[26677, 26675])).
% 25.73/17.49 tff(26679,plain,
% 25.73/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex2) | v100(constB177) | (~v90(constB177, bitIndex2)))),
% 25.73/17.49 inference(quant_inst,[status(thm)],[])).
% 25.73/17.49 tff(26680,plain,
% 25.73/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex2))),
% 25.73/17.49 inference(modus_ponens,[status(thm)],[26679, 26678])).
% 25.73/17.49 tff(26681,plain,
% 25.73/17.49 (v90(constB176, bitIndex2) | v100(constB177) | (~v90(constB177, bitIndex2))),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26680, 892, 26662])).
% 25.73/17.49 tff(26682,plain,
% 25.73/17.49 (v90(constB176, bitIndex2) | (~v90(constB177, bitIndex2))),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26681, 26674])).
% 25.73/17.49 tff(26683,plain,
% 25.73/17.49 (~v90(constB177, bitIndex2)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26682, 26656])).
% 25.73/17.49 tff(26684,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB175)) | (~v90(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB175)) | (~v90(constB175, bitIndex2)))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26685,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB175)) | (~v90(constB175, bitIndex2)))),
% 25.73/17.49 inference(quant_inst,[status(thm)],[])).
% 25.73/17.49 tff(26686,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB175)) | (~v90(constB175, bitIndex2))),
% 25.73/17.49 inference(modus_ponens,[status(thm)],[26685, 26684])).
% 25.73/17.49 tff(26687,plain,
% 25.73/17.49 (~v121(constB175)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26686, 1729, 26345])).
% 25.73/17.49 tff(26688,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB175)) | (~v90(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB175)) | (~v90(constB175, bitIndex2)))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26689,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB175)) | (~v90(constB175, bitIndex2)))),
% 25.73/17.49 inference(quant_inst,[status(thm)],[])).
% 25.73/17.49 tff(26690,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB175)) | (~v90(constB175, bitIndex2))),
% 25.73/17.49 inference(modus_ponens,[status(thm)],[26689, 26688])).
% 25.73/17.49 tff(26691,plain,
% 25.73/17.49 (~v122(constB175)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26690, 1740, 26345])).
% 25.73/17.49 tff(26692,plain,
% 25.73/17.49 (~v119(constB175)),
% 25.73/17.49 inference(unit_resolution,[status(thm)],[26509, 1751, 26376])).
% 25.73/17.49 tff(26693,plain,
% 25.73/17.49 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB175)) | (~v90(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB175)) | (~v90(constB175, bitIndex1)))),
% 25.73/17.49 inference(rewrite,[status(thm)],[])).
% 25.73/17.49 tff(26694,plain,
% 25.73/17.49 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB175)) | (~v90(constB175, bitIndex1)))),
% 25.73/17.50 inference(quant_inst,[status(thm)],[])).
% 25.73/17.50 tff(26695,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB175)) | (~v90(constB175, bitIndex1))),
% 25.73/17.50 inference(modus_ponens,[status(thm)],[26694, 26693])).
% 25.73/17.50 tff(26696,plain,
% 25.73/17.50 (~v124(constB175)),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26695, 1784, 26376])).
% 25.73/17.50 tff(26697,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex1)))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26698,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex1)))),
% 25.73/17.50 inference(quant_inst,[status(thm)],[])).
% 25.73/17.50 tff(26699,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex1))),
% 25.73/17.50 inference(modus_ponens,[status(thm)],[26698, 26697])).
% 25.73/17.50 tff(26700,plain,
% 25.73/17.50 (~v130(constB175, bitIndex1)),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26699, 1887, 26472, 26476, 26696, 26692, 26691, 26687])).
% 25.73/17.50 tff(26701,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26702,plain,
% 25.73/17.50 ((v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1))) <=> ((~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26703,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1)))),
% 25.73/17.50 inference(monotonicity,[status(thm)],[26702])).
% 25.73/17.50 tff(26704,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))),
% 25.73/17.50 inference(transitivity,[status(thm)],[26703, 26701])).
% 25.73/17.50 tff(26705,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1)))),
% 25.73/17.50 inference(quant_inst,[status(thm)],[])).
% 25.73/17.50 tff(26706,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1)),
% 25.73/17.50 inference(modus_ponens,[status(thm)],[26705, 26704])).
% 25.73/17.50 tff(26707,plain,
% 25.73/17.50 ((~v127(constB175, bitIndex1)) | v130(constB175, bitIndex1)),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26706, 1270, 26422])).
% 25.73/17.50 tff(26708,plain,
% 25.73/17.50 (~v127(constB175, bitIndex1)),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26707, 26700])).
% 25.73/17.50 tff(26709,plain,
% 25.73/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1)))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26710,plain,
% 25.73/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1)))),
% 25.73/17.50 inference(quant_inst,[status(thm)],[])).
% 25.73/17.50 tff(26711,plain,
% 25.73/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1))),
% 25.73/17.50 inference(modus_ponens,[status(thm)],[26710, 26709])).
% 25.73/17.50 tff(26712,plain,
% 25.73/17.50 (v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1))),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26711, 1288, 26437])).
% 25.73/17.50 tff(26713,plain,
% 25.73/17.50 (~v129(constB176, bitIndex1)),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26712, 26708])).
% 25.73/17.50 tff(26714,plain,
% 25.73/17.50 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26715,plain,
% 25.73/17.50 (((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1)) <=> ((~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26716,plain,
% 25.73/17.50 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176))))),
% 25.73/17.50 inference(monotonicity,[status(thm)],[26715])).
% 25.73/17.50 tff(26717,plain,
% 25.73/17.50 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))),
% 25.73/17.50 inference(transitivity,[status(thm)],[26716, 26714])).
% 25.73/17.50 tff(26718,plain,
% 25.73/17.50 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1))),
% 25.73/17.50 inference(quant_inst,[status(thm)],[])).
% 25.73/17.50 tff(26719,plain,
% 25.73/17.50 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176))),
% 25.73/17.50 inference(modus_ponens,[status(thm)],[26718, 26717])).
% 25.73/17.50 tff(26720,plain,
% 25.73/17.50 ((~v90(constB176, bitIndex1)) | (~v100(constB176))),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26719, 1303, 26713])).
% 25.73/17.50 tff(26721,plain,
% 25.73/17.50 (~v90(constB176, bitIndex1)),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26720, 26468])).
% 25.73/17.50 tff(26722,plain,
% 25.73/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26723,plain,
% 25.73/17.50 (((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1))) <=> (v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26724,plain,
% 25.73/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1))))),
% 25.73/17.50 inference(monotonicity,[status(thm)],[26723])).
% 25.73/17.50 tff(26725,plain,
% 25.73/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 25.73/17.50 inference(transitivity,[status(thm)],[26724, 26722])).
% 25.73/17.50 tff(26726,plain,
% 25.73/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 25.73/17.50 inference(quant_inst,[status(thm)],[])).
% 25.73/17.50 tff(26727,plain,
% 25.73/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1))),
% 25.73/17.50 inference(modus_ponens,[status(thm)],[26726, 26725])).
% 25.73/17.50 tff(26728,plain,
% 25.73/17.50 (v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1))),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26727, 913, 26662])).
% 25.73/17.50 tff(26729,plain,
% 25.73/17.50 (v90(constB176, bitIndex1) | (~v90(constB177, bitIndex1))),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26728, 26674])).
% 25.73/17.50 tff(26730,plain,
% 25.73/17.50 (~v90(constB177, bitIndex1)),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26729, 26721])).
% 25.73/17.50 tff(26731,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | v130(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | v130(constB175, bitIndex0))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26732,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | v130(constB175, bitIndex0))),
% 25.73/17.50 inference(quant_inst,[status(thm)],[])).
% 25.73/17.50 tff(26733,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | v130(constB175, bitIndex0)),
% 25.73/17.50 inference(modus_ponens,[status(thm)],[26732, 26731])).
% 25.73/17.50 tff(26734,plain,
% 25.73/17.50 (v130(constB175, bitIndex0)),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26733, 1931, 26472, 26476, 26696, 26692, 26691, 26687])).
% 25.73/17.50 tff(26735,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB175) | (~v130(constB175, bitIndex0)) | v127(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB175) | (~v130(constB175, bitIndex0)) | v127(constB175, bitIndex0))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26736,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB175) | (~v130(constB175, bitIndex0)) | v127(constB175, bitIndex0))),
% 25.73/17.50 inference(quant_inst,[status(thm)],[])).
% 25.73/17.50 tff(26737,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB175) | (~v130(constB175, bitIndex0)) | v127(constB175, bitIndex0)),
% 25.73/17.50 inference(modus_ponens,[status(thm)],[26736, 26735])).
% 25.73/17.50 tff(26738,plain,
% 25.73/17.50 ((~v130(constB175, bitIndex0)) | v127(constB175, bitIndex0)),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26737, 1945, 26422])).
% 25.73/17.50 tff(26739,plain,
% 25.73/17.50 (v127(constB175, bitIndex0)),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26738, 26734])).
% 25.73/17.50 tff(26740,plain,
% 25.73/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB175, constB176)) | (~v127(constB175, bitIndex0)) | v129(constB176, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB175, constB176)) | (~v127(constB175, bitIndex0)) | v129(constB176, bitIndex0))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26741,plain,
% 25.73/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB175, constB176)) | (~v127(constB175, bitIndex0)) | v129(constB176, bitIndex0))),
% 25.73/17.50 inference(quant_inst,[status(thm)],[])).
% 25.73/17.50 tff(26742,plain,
% 25.73/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB175, constB176)) | (~v127(constB175, bitIndex0)) | v129(constB176, bitIndex0)),
% 25.73/17.50 inference(modus_ponens,[status(thm)],[26741, 26740])).
% 25.73/17.50 tff(26743,plain,
% 25.73/17.50 ((~v127(constB175, bitIndex0)) | v129(constB176, bitIndex0)),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26742, 1960, 26437])).
% 25.73/17.50 tff(26744,plain,
% 25.73/17.50 (v129(constB176, bitIndex0)),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26743, 26739])).
% 25.73/17.50 tff(26745,plain,
% 25.73/17.50 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176)))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26746,plain,
% 25.73/17.50 ((v90(constB176, bitIndex0) | (~v100(constB176)) | (~v129(constB176, bitIndex0))) <=> (v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176)))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26747,plain,
% 25.73/17.50 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~v100(constB176)) | (~v129(constB176, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176))))),
% 25.73/17.50 inference(monotonicity,[status(thm)],[26746])).
% 25.73/17.50 tff(26748,plain,
% 25.73/17.50 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~v100(constB176)) | (~v129(constB176, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176)))),
% 25.73/17.50 inference(transitivity,[status(thm)],[26747, 26745])).
% 25.73/17.50 tff(26749,plain,
% 25.73/17.50 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~v100(constB176)) | (~v129(constB176, bitIndex0)))),
% 25.73/17.50 inference(quant_inst,[status(thm)],[])).
% 25.73/17.50 tff(26750,plain,
% 25.73/17.50 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176))),
% 25.73/17.50 inference(modus_ponens,[status(thm)],[26749, 26748])).
% 25.73/17.50 tff(26751,plain,
% 25.73/17.50 (v90(constB176, bitIndex0) | (~v100(constB176))),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26750, 1975, 26744])).
% 25.73/17.50 tff(26752,plain,
% 25.73/17.50 (v90(constB176, bitIndex0)),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26751, 26468])).
% 25.73/17.50 tff(26753,plain,
% 25.73/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex0))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26754,plain,
% 25.73/17.50 (((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex0)) | v100(constB177) | v90(constB177, bitIndex0)) <=> ((~v90(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex0))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26755,plain,
% 25.73/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex0)) | v100(constB177) | v90(constB177, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex0)))),
% 25.73/17.50 inference(monotonicity,[status(thm)],[26754])).
% 25.73/17.50 tff(26756,plain,
% 25.73/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex0)) | v100(constB177) | v90(constB177, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex0))),
% 25.73/17.50 inference(transitivity,[status(thm)],[26755, 26753])).
% 25.73/17.50 tff(26757,plain,
% 25.73/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex0)) | v100(constB177) | v90(constB177, bitIndex0))),
% 25.73/17.50 inference(quant_inst,[status(thm)],[])).
% 25.73/17.50 tff(26758,plain,
% 25.73/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex0)),
% 25.73/17.50 inference(modus_ponens,[status(thm)],[26757, 26756])).
% 25.73/17.50 tff(26759,plain,
% 25.73/17.50 ((~v90(constB176, bitIndex0)) | v100(constB177) | v90(constB177, bitIndex0)),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26758, 1993, 26662])).
% 25.73/17.50 tff(26760,plain,
% 25.73/17.50 ((~v90(constB176, bitIndex0)) | v90(constB177, bitIndex0)),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26759, 26674])).
% 25.73/17.50 tff(26761,plain,
% 25.73/17.50 (v90(constB177, bitIndex0)),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26760, 26752])).
% 25.73/17.50 tff(26762,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB177, bitIndex0)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | v120(constB177))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB177, bitIndex0)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | v120(constB177))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26763,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB177, bitIndex0)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | v120(constB177))),
% 25.73/17.50 inference(quant_inst,[status(thm)],[])).
% 25.73/17.50 tff(26764,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB177, bitIndex0)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | v120(constB177)),
% 25.73/17.50 inference(modus_ponens,[status(thm)],[26763, 26762])).
% 25.73/17.50 tff(26765,plain,
% 25.73/17.50 (v120(constB177)),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26764, 2012, 26761, 26730, 26683])).
% 25.73/17.50 tff(26766,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB177) | (~v120(constB177)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB177) | (~v120(constB177)))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26767,plain,
% 25.73/17.50 (((~v120(constB177)) | v118(constB177)) <=> (v118(constB177) | (~v120(constB177)))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26768,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB177)) | v118(constB177))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB177) | (~v120(constB177))))),
% 25.73/17.50 inference(monotonicity,[status(thm)],[26767])).
% 25.73/17.50 tff(26769,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB177)) | v118(constB177))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB177) | (~v120(constB177)))),
% 25.73/17.50 inference(transitivity,[status(thm)],[26768, 26766])).
% 25.73/17.50 tff(26770,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB177)) | v118(constB177))),
% 25.73/17.50 inference(quant_inst,[status(thm)],[])).
% 25.73/17.50 tff(26771,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB177) | (~v120(constB177))),
% 25.73/17.50 inference(modus_ponens,[status(thm)],[26770, 26769])).
% 25.73/17.50 tff(26772,plain,
% 25.73/17.50 (v118(constB177)),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26771, 2210, 26765])).
% 25.73/17.50 tff(26773,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB177) | (~v118(constB177)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB177) | (~v118(constB177)))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26774,plain,
% 25.73/17.50 (((~v118(constB177)) | v117(constB177)) <=> (v117(constB177) | (~v118(constB177)))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26775,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB177)) | v117(constB177))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB177) | (~v118(constB177))))),
% 25.73/17.50 inference(monotonicity,[status(thm)],[26774])).
% 25.73/17.50 tff(26776,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB177)) | v117(constB177))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB177) | (~v118(constB177)))),
% 25.73/17.50 inference(transitivity,[status(thm)],[26775, 26773])).
% 25.73/17.50 tff(26777,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB177)) | v117(constB177))),
% 25.73/17.50 inference(quant_inst,[status(thm)],[])).
% 25.73/17.50 tff(26778,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB177) | (~v118(constB177))),
% 25.73/17.50 inference(modus_ponens,[status(thm)],[26777, 26776])).
% 25.73/17.50 tff(26779,plain,
% 25.73/17.50 (v117(constB177)),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26778, 980, 26772])).
% 25.73/17.50 tff(26780,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB177) | (~v117(constB177)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB177) | (~v117(constB177)))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26781,plain,
% 25.73/17.50 (((~v117(constB177)) | v116(constB177)) <=> (v116(constB177) | (~v117(constB177)))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26782,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB177)) | v116(constB177))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB177) | (~v117(constB177))))),
% 25.73/17.50 inference(monotonicity,[status(thm)],[26781])).
% 25.73/17.50 tff(26783,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB177)) | v116(constB177))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB177) | (~v117(constB177)))),
% 25.73/17.50 inference(transitivity,[status(thm)],[26782, 26780])).
% 25.73/17.50 tff(26784,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB177)) | v116(constB177))),
% 25.73/17.50 inference(quant_inst,[status(thm)],[])).
% 25.73/17.50 tff(26785,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB177) | (~v117(constB177))),
% 25.73/17.50 inference(modus_ponens,[status(thm)],[26784, 26783])).
% 25.73/17.50 tff(26786,plain,
% 25.73/17.50 (v116(constB177)),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26785, 994, 26779])).
% 25.73/17.50 tff(26787,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB177) | (~v116(constB177)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB177) | (~v116(constB177)))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26788,plain,
% 25.73/17.50 (((~v116(constB177)) | v115(constB177)) <=> (v115(constB177) | (~v116(constB177)))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26789,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB177)) | v115(constB177))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB177) | (~v116(constB177))))),
% 25.73/17.50 inference(monotonicity,[status(thm)],[26788])).
% 25.73/17.50 tff(26790,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB177)) | v115(constB177))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB177) | (~v116(constB177)))),
% 25.73/17.50 inference(transitivity,[status(thm)],[26789, 26787])).
% 25.73/17.50 tff(26791,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB177)) | v115(constB177))),
% 25.73/17.50 inference(quant_inst,[status(thm)],[])).
% 25.73/17.50 tff(26792,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB177) | (~v116(constB177))),
% 25.73/17.50 inference(modus_ponens,[status(thm)],[26791, 26790])).
% 25.73/17.50 tff(26793,plain,
% 25.73/17.50 (v115(constB177)),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26792, 1008, 26786])).
% 25.73/17.50 tff(26794,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB177)) | v114(constB177))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB177)) | v114(constB177))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26795,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB177)) | v114(constB177))),
% 25.73/17.50 inference(quant_inst,[status(thm)],[])).
% 25.73/17.50 tff(26796,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB177)) | v114(constB177)),
% 25.73/17.50 inference(modus_ponens,[status(thm)],[26795, 26794])).
% 25.73/17.50 tff(26797,plain,
% 25.73/17.50 (v114(constB177)),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26796, 1022, 26793])).
% 25.73/17.50 tff(26798,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB177) | (~v114(constB177)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB177) | (~v114(constB177)))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26799,plain,
% 25.73/17.50 (((~v114(constB177)) | v113(constB177)) <=> (v113(constB177) | (~v114(constB177)))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26800,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB177)) | v113(constB177))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB177) | (~v114(constB177))))),
% 25.73/17.50 inference(monotonicity,[status(thm)],[26799])).
% 25.73/17.50 tff(26801,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB177)) | v113(constB177))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB177) | (~v114(constB177)))),
% 25.73/17.50 inference(transitivity,[status(thm)],[26800, 26798])).
% 25.73/17.50 tff(26802,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB177)) | v113(constB177))),
% 25.73/17.50 inference(quant_inst,[status(thm)],[])).
% 25.73/17.50 tff(26803,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB177) | (~v114(constB177))),
% 25.73/17.50 inference(modus_ponens,[status(thm)],[26802, 26801])).
% 25.73/17.50 tff(26804,plain,
% 25.73/17.50 (v113(constB177)),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26803, 1036, 26797])).
% 25.73/17.50 tff(26805,assumption,(v26(constB177)), introduced(assumption)).
% 25.73/17.50 tff(26806,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB177))),
% 25.73/17.50 inference(quant_inst,[status(thm)],[])).
% 25.73/17.50 tff(26807,plain,
% 25.73/17.50 ($false),
% 25.73/17.50 inference(unit_resolution,[status(thm)],[26806, 797, 26805])).
% 25.73/17.50 tff(26808,plain,(~v26(constB177)), inference(lemma,lemma(discharge,[]))).
% 25.73/17.50 tff(26809,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | v112(constB177) | (~v113(constB177)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | v112(constB177) | (~v113(constB177)))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26810,plain,
% 25.73/17.50 ((v26(constB177) | (~v113(constB177)) | v112(constB177)) <=> (v26(constB177) | v112(constB177) | (~v113(constB177)))),
% 25.73/17.50 inference(rewrite,[status(thm)],[])).
% 25.73/17.50 tff(26811,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | v112(constB177) | (~v113(constB177))))),
% 25.73/17.50 inference(monotonicity,[status(thm)],[26810])).
% 25.73/17.50 tff(26812,plain,
% 25.73/17.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | v112(constB177) | (~v113(constB177)))),
% 25.73/17.50 inference(transitivity,[status(thm)],[26811, 26809])).
% 25.73/17.50 tff(26813,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))),
% 25.73/17.50 inference(quant_inst,[status(thm)],[])).
% 25.73/17.50 tff(26814,plain,
% 25.73/17.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | v112(constB177) | (~v113(constB177))),
% 25.73/17.50 inference(modus_ponens,[status(thm)],[26813, 26812])).
% 25.73/17.50 tff(26815,plain,
% 25.73/17.50 (v112(constB177) | (~v113(constB177))),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26814, 1050, 26808])).
% 25.73/17.51 tff(26816,plain,
% 25.73/17.51 (v112(constB177)),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26815, 26804])).
% 25.73/17.51 tff(26817,plain,
% 25.73/17.51 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB177) | (~v112(constB177)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v112(constB177)))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26818,plain,
% 25.73/17.51 (((~v112(constB177)) | v108(constB177)) <=> (v108(constB177) | (~v112(constB177)))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26819,plain,
% 25.73/17.51 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB177)) | v108(constB177))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB177) | (~v112(constB177))))),
% 25.73/17.51 inference(monotonicity,[status(thm)],[26818])).
% 25.73/17.51 tff(26820,plain,
% 25.73/17.51 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB177)) | v108(constB177))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v112(constB177)))),
% 25.73/17.51 inference(transitivity,[status(thm)],[26819, 26817])).
% 25.73/17.51 tff(26821,plain,
% 25.73/17.51 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB177)) | v108(constB177))),
% 25.73/17.51 inference(quant_inst,[status(thm)],[])).
% 25.73/17.51 tff(26822,plain,
% 25.73/17.51 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v112(constB177))),
% 25.73/17.51 inference(modus_ponens,[status(thm)],[26821, 26820])).
% 25.73/17.51 tff(26823,plain,
% 25.73/17.51 (v108(constB177)),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26822, 1062, 26816])).
% 25.73/17.51 tff(26824,plain,
% 25.73/17.51 (nextState(constB177, constB178) <=> nextState(constB177, constB178)),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26825,axiom,(nextState(constB177, constB178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_177_1')).
% 25.73/17.51 tff(26826,plain,
% 25.73/17.51 (nextState(constB177, constB178)),
% 25.73/17.51 inference(modus_ponens,[status(thm)],[26825, 26824])).
% 25.73/17.51 tff(26827,plain,
% 25.73/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26828,plain,
% 25.73/17.51 (((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178)) <=> ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26829,plain,
% 25.73/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177))))),
% 25.73/17.51 inference(monotonicity,[status(thm)],[26828])).
% 25.73/17.51 tff(26830,plain,
% 25.73/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 25.73/17.51 inference(transitivity,[status(thm)],[26829, 26827])).
% 25.73/17.51 tff(26831,plain,
% 25.73/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))),
% 25.73/17.51 inference(quant_inst,[status(thm)],[])).
% 25.73/17.51 tff(26832,plain,
% 25.73/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177))),
% 25.73/17.51 inference(modus_ponens,[status(thm)],[26831, 26830])).
% 25.73/17.51 tff(26833,plain,
% 25.73/17.51 (v110(constB178) | (~v108(constB177))),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26832, 1082, 26826])).
% 25.73/17.51 tff(26834,plain,
% 25.73/17.51 (v110(constB178)),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26833, 26823])).
% 25.73/17.51 tff(26835,plain,
% 25.73/17.51 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26836,plain,
% 25.73/17.51 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))),
% 25.73/17.51 inference(quant_inst,[status(thm)],[])).
% 25.73/17.51 tff(26837,plain,
% 25.73/17.51 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178))),
% 25.73/17.51 inference(modus_ponens,[status(thm)],[26836, 26835])).
% 25.73/17.51 tff(26838,plain,
% 25.73/17.51 (~v104(constB178)),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26837, 1100, 26826, 26659])).
% 25.73/17.51 tff(26839,plain,
% 25.73/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26840,plain,
% 25.73/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))),
% 25.73/17.51 inference(quant_inst,[status(thm)],[])).
% 25.73/17.51 tff(26841,plain,
% 25.73/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v102(constB178) | v104(constB178)),
% 25.73/17.51 inference(modus_ponens,[status(thm)],[26840, 26839])).
% 25.73/17.51 tff(26842,plain,
% 25.73/17.51 (v102(constB178) | v104(constB178)),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26841, 1114, 26826])).
% 25.73/17.51 tff(26843,plain,
% 25.73/17.51 (v102(constB178)),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26842, 26838])).
% 25.73/17.51 tff(26844,plain,
% 25.73/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26845,plain,
% 25.73/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))),
% 25.73/17.51 inference(quant_inst,[status(thm)],[])).
% 25.73/17.51 tff(26846,plain,
% 25.73/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178))),
% 25.73/17.51 inference(modus_ponens,[status(thm)],[26845, 26844])).
% 25.73/17.51 tff(26847,plain,
% 25.73/17.51 (v101(constB178) | (~v102(constB178))),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26846, 1129, 26826, 174])).
% 25.73/17.51 tff(26848,plain,
% 25.73/17.51 (v101(constB178)),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26847, 26843])).
% 25.73/17.51 tff(26849,plain,
% 25.73/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26850,plain,
% 25.73/17.51 (((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178)) <=> ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26851,plain,
% 25.73/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178))))),
% 25.73/17.51 inference(monotonicity,[status(thm)],[26850])).
% 25.73/17.51 tff(26852,plain,
% 25.73/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 25.73/17.51 inference(transitivity,[status(thm)],[26851, 26849])).
% 25.73/17.51 tff(26853,plain,
% 25.73/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))),
% 25.73/17.51 inference(quant_inst,[status(thm)],[])).
% 25.73/17.51 tff(26854,plain,
% 25.73/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 25.73/17.51 inference(modus_ponens,[status(thm)],[26853, 26852])).
% 25.73/17.51 tff(26855,plain,
% 25.73/17.51 (v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26854, 1144, 26826])).
% 25.73/17.51 tff(26856,plain,
% 25.73/17.51 (v100(constB178) | (~v110(constB178))),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26855, 26848])).
% 25.73/17.51 tff(26857,plain,
% 25.73/17.51 (v100(constB178)),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26856, 26834])).
% 25.73/17.51 tff(26858,plain,
% 25.73/17.51 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB177)) | (~v130(constB177, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB177)) | (~v130(constB177, bitIndex2)))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26859,plain,
% 25.73/17.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB177)) | (~v130(constB177, bitIndex2)))),
% 25.73/17.51 inference(quant_inst,[status(thm)],[])).
% 25.73/17.51 tff(26860,plain,
% 25.73/17.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB177)) | (~v130(constB177, bitIndex2))),
% 25.73/17.51 inference(modus_ponens,[status(thm)],[26859, 26858])).
% 25.73/17.51 tff(26861,plain,
% 25.73/17.51 (~v130(constB177, bitIndex2)),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26860, 2231, 26765])).
% 25.73/17.51 tff(26862,plain,
% 25.73/17.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB177, bitIndex2)) | v26(constB177) | v130(constB177, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB177, bitIndex2)) | v26(constB177) | v130(constB177, bitIndex2))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26863,plain,
% 25.73/17.51 ((v26(constB177) | v130(constB177, bitIndex2) | (~v127(constB177, bitIndex2))) <=> ((~v127(constB177, bitIndex2)) | v26(constB177) | v130(constB177, bitIndex2))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26864,plain,
% 25.73/17.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB177) | v130(constB177, bitIndex2) | (~v127(constB177, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB177, bitIndex2)) | v26(constB177) | v130(constB177, bitIndex2)))),
% 25.73/17.51 inference(monotonicity,[status(thm)],[26863])).
% 25.73/17.51 tff(26865,plain,
% 25.73/17.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB177) | v130(constB177, bitIndex2) | (~v127(constB177, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB177, bitIndex2)) | v26(constB177) | v130(constB177, bitIndex2))),
% 25.73/17.51 inference(transitivity,[status(thm)],[26864, 26862])).
% 25.73/17.51 tff(26866,plain,
% 25.73/17.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB177) | v130(constB177, bitIndex2) | (~v127(constB177, bitIndex2)))),
% 25.73/17.51 inference(quant_inst,[status(thm)],[])).
% 25.73/17.51 tff(26867,plain,
% 25.73/17.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB177, bitIndex2)) | v26(constB177) | v130(constB177, bitIndex2)),
% 25.73/17.51 inference(modus_ponens,[status(thm)],[26866, 26865])).
% 25.73/17.51 tff(26868,plain,
% 25.73/17.51 ((~v127(constB177, bitIndex2)) | v130(constB177, bitIndex2)),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26867, 1812, 26808])).
% 25.73/17.51 tff(26869,plain,
% 25.73/17.51 (~v127(constB177, bitIndex2)),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26868, 26861])).
% 25.73/17.51 tff(26870,plain,
% 25.73/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB177, constB178)) | v127(constB177, bitIndex2) | (~v129(constB178, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB177, constB178)) | v127(constB177, bitIndex2) | (~v129(constB178, bitIndex2)))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26871,plain,
% 25.73/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB177, constB178)) | v127(constB177, bitIndex2) | (~v129(constB178, bitIndex2)))),
% 25.73/17.51 inference(quant_inst,[status(thm)],[])).
% 25.73/17.51 tff(26872,plain,
% 25.73/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB177, constB178)) | v127(constB177, bitIndex2) | (~v129(constB178, bitIndex2))),
% 25.73/17.51 inference(modus_ponens,[status(thm)],[26871, 26870])).
% 25.73/17.51 tff(26873,plain,
% 25.73/17.51 (v127(constB177, bitIndex2) | (~v129(constB178, bitIndex2))),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26872, 1830, 26826])).
% 25.73/17.51 tff(26874,plain,
% 25.73/17.51 (~v129(constB178, bitIndex2)),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26873, 26869])).
% 25.73/17.51 tff(26875,plain,
% 25.73/17.51 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB178, bitIndex2)) | v129(constB178, bitIndex2) | (~v100(constB178)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB178, bitIndex2)) | v129(constB178, bitIndex2) | (~v100(constB178)))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26876,plain,
% 25.73/17.51 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB178, bitIndex2)) | v129(constB178, bitIndex2) | (~v100(constB178)))),
% 25.73/17.51 inference(quant_inst,[status(thm)],[])).
% 25.73/17.51 tff(26877,plain,
% 25.73/17.51 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB178, bitIndex2)) | v129(constB178, bitIndex2) | (~v100(constB178))),
% 25.73/17.51 inference(modus_ponens,[status(thm)],[26876, 26875])).
% 25.73/17.51 tff(26878,plain,
% 25.73/17.51 ((~v90(constB178, bitIndex2)) | (~v100(constB178))),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26877, 1845, 26874])).
% 25.73/17.51 tff(26879,plain,
% 25.73/17.51 (~v90(constB178, bitIndex2)),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26878, 26857])).
% 25.73/17.51 tff(26880,plain,
% 25.73/17.51 ((~v1(constB179)) <=> (~v1(constB179))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26881,axiom,(~v1(constB179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_179_1_1')).
% 25.73/17.51 tff(26882,plain,
% 25.73/17.51 (~v1(constB179)),
% 25.73/17.51 inference(modus_ponens,[status(thm)],[26881, 26880])).
% 25.73/17.51 tff(26883,plain,
% 25.73/17.51 (nextState(constB178, constB179) <=> nextState(constB178, constB179)),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26884,axiom,(nextState(constB178, constB179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_178_1')).
% 25.73/17.51 tff(26885,plain,
% 25.73/17.51 (nextState(constB178, constB179)),
% 25.73/17.51 inference(modus_ponens,[status(thm)],[26884, 26883])).
% 25.73/17.51 tff(26886,plain,
% 25.73/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26887,plain,
% 25.73/17.51 (((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179)) <=> (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26888,plain,
% 25.73/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179))))),
% 25.73/17.51 inference(monotonicity,[status(thm)],[26887])).
% 25.73/17.51 tff(26889,plain,
% 25.73/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 25.73/17.51 inference(transitivity,[status(thm)],[26888, 26886])).
% 25.73/17.51 tff(26890,plain,
% 25.73/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))),
% 25.73/17.51 inference(quant_inst,[status(thm)],[])).
% 25.73/17.51 tff(26891,plain,
% 25.73/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179))),
% 25.73/17.51 inference(modus_ponens,[status(thm)],[26890, 26889])).
% 25.73/17.51 tff(26892,plain,
% 25.73/17.51 (~v101(constB179)),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26891, 860, 26885, 26882])).
% 25.73/17.51 tff(26893,plain,
% 25.73/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26894,plain,
% 25.73/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))),
% 25.73/17.51 inference(quant_inst,[status(thm)],[])).
% 25.73/17.51 tff(26895,plain,
% 25.73/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179))),
% 25.73/17.51 inference(modus_ponens,[status(thm)],[26894, 26893])).
% 25.73/17.51 tff(26896,plain,
% 25.73/17.51 (v101(constB179) | (~v100(constB179))),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26895, 877, 26885])).
% 25.73/17.51 tff(26897,plain,
% 25.73/17.51 (~v100(constB179)),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26896, 26892])).
% 25.73/17.51 tff(26898,plain,
% 25.73/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex2)))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26899,plain,
% 25.73/17.51 (((~nextState(constB178, constB179)) | v90(constB178, bitIndex2) | v100(constB179) | (~v90(constB179, bitIndex2))) <=> (v90(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex2)))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26900,plain,
% 25.73/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex2) | v100(constB179) | (~v90(constB179, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex2))))),
% 25.73/17.51 inference(monotonicity,[status(thm)],[26899])).
% 25.73/17.51 tff(26901,plain,
% 25.73/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex2) | v100(constB179) | (~v90(constB179, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex2)))),
% 25.73/17.51 inference(transitivity,[status(thm)],[26900, 26898])).
% 25.73/17.51 tff(26902,plain,
% 25.73/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex2) | v100(constB179) | (~v90(constB179, bitIndex2)))),
% 25.73/17.51 inference(quant_inst,[status(thm)],[])).
% 25.73/17.51 tff(26903,plain,
% 25.73/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex2))),
% 25.73/17.51 inference(modus_ponens,[status(thm)],[26902, 26901])).
% 25.73/17.51 tff(26904,plain,
% 25.73/17.51 (v90(constB178, bitIndex2) | v100(constB179) | (~v90(constB179, bitIndex2))),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26903, 892, 26885])).
% 25.73/17.51 tff(26905,plain,
% 25.73/17.51 (v90(constB178, bitIndex2) | (~v90(constB179, bitIndex2))),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26904, 26897])).
% 25.73/17.51 tff(26906,plain,
% 25.73/17.51 (~v90(constB179, bitIndex2)),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26905, 26879])).
% 25.73/17.51 tff(26907,plain,
% 25.73/17.51 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB177)) | v130(constB177, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB177)) | v130(constB177, bitIndex1))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26908,plain,
% 25.73/17.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB177)) | v130(constB177, bitIndex1))),
% 25.73/17.51 inference(quant_inst,[status(thm)],[])).
% 25.73/17.51 tff(26909,plain,
% 25.73/17.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB177)) | v130(constB177, bitIndex1)),
% 25.73/17.51 inference(modus_ponens,[status(thm)],[26908, 26907])).
% 25.73/17.51 tff(26910,plain,
% 25.73/17.51 (v130(constB177, bitIndex1)),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26909, 2034, 26765])).
% 25.73/17.51 tff(26911,plain,
% 25.73/17.51 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB177) | (~v130(constB177, bitIndex1)) | v127(constB177, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB177) | (~v130(constB177, bitIndex1)) | v127(constB177, bitIndex1))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26912,plain,
% 25.73/17.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB177) | (~v130(constB177, bitIndex1)) | v127(constB177, bitIndex1))),
% 25.73/17.51 inference(quant_inst,[status(thm)],[])).
% 25.73/17.51 tff(26913,plain,
% 25.73/17.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB177) | (~v130(constB177, bitIndex1)) | v127(constB177, bitIndex1)),
% 25.73/17.51 inference(modus_ponens,[status(thm)],[26912, 26911])).
% 25.73/17.51 tff(26914,plain,
% 25.73/17.51 ((~v130(constB177, bitIndex1)) | v127(constB177, bitIndex1)),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26913, 1553, 26808])).
% 25.73/17.51 tff(26915,plain,
% 25.73/17.51 (v127(constB177, bitIndex1)),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26914, 26910])).
% 25.73/17.51 tff(26916,plain,
% 25.73/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex1)) | v129(constB178, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex1)) | v129(constB178, bitIndex1))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26917,plain,
% 25.73/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex1)) | v129(constB178, bitIndex1))),
% 25.73/17.51 inference(quant_inst,[status(thm)],[])).
% 25.73/17.51 tff(26918,plain,
% 25.73/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex1)) | v129(constB178, bitIndex1)),
% 25.73/17.51 inference(modus_ponens,[status(thm)],[26917, 26916])).
% 25.73/17.51 tff(26919,plain,
% 25.73/17.51 ((~v127(constB177, bitIndex1)) | v129(constB178, bitIndex1)),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26918, 1568, 26826])).
% 25.73/17.51 tff(26920,plain,
% 25.73/17.51 (v129(constB178, bitIndex1)),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26919, 26915])).
% 25.73/17.51 tff(26921,plain,
% 25.73/17.51 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178)))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26922,plain,
% 25.73/17.51 ((v90(constB178, bitIndex1) | (~v100(constB178)) | (~v129(constB178, bitIndex1))) <=> (v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178)))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26923,plain,
% 25.73/17.51 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~v100(constB178)) | (~v129(constB178, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178))))),
% 25.73/17.51 inference(monotonicity,[status(thm)],[26922])).
% 25.73/17.51 tff(26924,plain,
% 25.73/17.51 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~v100(constB178)) | (~v129(constB178, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178)))),
% 25.73/17.51 inference(transitivity,[status(thm)],[26923, 26921])).
% 25.73/17.51 tff(26925,plain,
% 25.73/17.51 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~v100(constB178)) | (~v129(constB178, bitIndex1)))),
% 25.73/17.51 inference(quant_inst,[status(thm)],[])).
% 25.73/17.51 tff(26926,plain,
% 25.73/17.51 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178))),
% 25.73/17.51 inference(modus_ponens,[status(thm)],[26925, 26924])).
% 25.73/17.51 tff(26927,plain,
% 25.73/17.51 (v90(constB178, bitIndex1) | (~v100(constB178))),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26926, 1583, 26920])).
% 25.73/17.51 tff(26928,plain,
% 25.73/17.51 (v90(constB178, bitIndex1)),
% 25.73/17.51 inference(unit_resolution,[status(thm)],[26927, 26857])).
% 25.73/17.51 tff(26929,plain,
% 25.73/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex1))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26930,plain,
% 25.73/17.51 (((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex1)) | v100(constB179) | v90(constB179, bitIndex1)) <=> ((~v90(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex1))),
% 25.73/17.51 inference(rewrite,[status(thm)],[])).
% 25.73/17.51 tff(26931,plain,
% 25.73/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex1)) | v100(constB179) | v90(constB179, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex1)))),
% 25.73/17.51 inference(monotonicity,[status(thm)],[26930])).
% 25.73/17.51 tff(26932,plain,
% 25.73/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex1)) | v100(constB179) | v90(constB179, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex1))),
% 25.73/17.51 inference(transitivity,[status(thm)],[26931, 26929])).
% 25.73/17.51 tff(26933,plain,
% 25.73/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex1)) | v100(constB179) | v90(constB179, bitIndex1))),
% 25.73/17.51 inference(quant_inst,[status(thm)],[])).
% 25.73/17.51 tff(26934,plain,
% 25.73/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex1)),
% 25.73/17.52 inference(modus_ponens,[status(thm)],[26933, 26932])).
% 25.73/17.52 tff(26935,plain,
% 25.73/17.52 ((~v90(constB178, bitIndex1)) | v100(constB179) | v90(constB179, bitIndex1)),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[26934, 1601, 26885])).
% 25.73/17.52 tff(26936,plain,
% 25.73/17.52 ((~v90(constB178, bitIndex1)) | v90(constB179, bitIndex1)),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[26935, 26897])).
% 25.73/17.52 tff(26937,plain,
% 25.73/17.52 (v90(constB179, bitIndex1)),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[26936, 26928])).
% 25.73/17.52 tff(26938,plain,
% 25.73/17.52 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB177)) | (~v130(constB177, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB177)) | (~v130(constB177, bitIndex0)))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(26939,plain,
% 25.73/17.52 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB177)) | (~v130(constB177, bitIndex0)))),
% 25.73/17.52 inference(quant_inst,[status(thm)],[])).
% 25.73/17.52 tff(26940,plain,
% 25.73/17.52 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB177)) | (~v130(constB177, bitIndex0))),
% 25.73/17.52 inference(modus_ponens,[status(thm)],[26939, 26938])).
% 25.73/17.52 tff(26941,plain,
% 25.73/17.52 (~v130(constB177, bitIndex0)),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[26940, 2023, 26765])).
% 25.73/17.52 tff(26942,plain,
% 25.73/17.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB177, bitIndex0)) | v26(constB177) | v130(constB177, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB177, bitIndex0)) | v26(constB177) | v130(constB177, bitIndex0))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(26943,plain,
% 25.73/17.52 ((v26(constB177) | v130(constB177, bitIndex0) | (~v127(constB177, bitIndex0))) <=> ((~v127(constB177, bitIndex0)) | v26(constB177) | v130(constB177, bitIndex0))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(26944,plain,
% 25.73/17.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB177) | v130(constB177, bitIndex0) | (~v127(constB177, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB177, bitIndex0)) | v26(constB177) | v130(constB177, bitIndex0)))),
% 25.73/17.52 inference(monotonicity,[status(thm)],[26943])).
% 25.73/17.52 tff(26945,plain,
% 25.73/17.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB177) | v130(constB177, bitIndex0) | (~v127(constB177, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB177, bitIndex0)) | v26(constB177) | v130(constB177, bitIndex0))),
% 25.73/17.52 inference(transitivity,[status(thm)],[26944, 26942])).
% 25.73/17.52 tff(26946,plain,
% 25.73/17.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB177) | v130(constB177, bitIndex0) | (~v127(constB177, bitIndex0)))),
% 25.73/17.52 inference(quant_inst,[status(thm)],[])).
% 25.73/17.52 tff(26947,plain,
% 25.73/17.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB177, bitIndex0)) | v26(constB177) | v130(constB177, bitIndex0)),
% 25.73/17.52 inference(modus_ponens,[status(thm)],[26946, 26945])).
% 25.73/17.52 tff(26948,plain,
% 25.73/17.52 ((~v127(constB177, bitIndex0)) | v130(constB177, bitIndex0)),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[26947, 1341, 26808])).
% 25.73/17.52 tff(26949,plain,
% 25.73/17.52 (~v127(constB177, bitIndex0)),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[26948, 26941])).
% 25.73/17.52 tff(26950,plain,
% 25.73/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v127(constB177, bitIndex0) | (~v129(constB178, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB177, constB178)) | v127(constB177, bitIndex0) | (~v129(constB178, bitIndex0)))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(26951,plain,
% 25.73/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v127(constB177, bitIndex0) | (~v129(constB178, bitIndex0)))),
% 25.73/17.52 inference(quant_inst,[status(thm)],[])).
% 25.73/17.52 tff(26952,plain,
% 25.73/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB177, constB178)) | v127(constB177, bitIndex0) | (~v129(constB178, bitIndex0))),
% 25.73/17.52 inference(modus_ponens,[status(thm)],[26951, 26950])).
% 25.73/17.52 tff(26953,plain,
% 25.73/17.52 (v127(constB177, bitIndex0) | (~v129(constB178, bitIndex0))),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[26952, 1359, 26826])).
% 25.73/17.52 tff(26954,plain,
% 25.73/17.52 (~v129(constB178, bitIndex0)),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[26953, 26949])).
% 25.73/17.52 tff(26955,plain,
% 25.73/17.52 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB178, bitIndex0)) | v129(constB178, bitIndex0) | (~v100(constB178)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB178, bitIndex0)) | v129(constB178, bitIndex0) | (~v100(constB178)))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(26956,plain,
% 25.73/17.52 (((~v90(constB178, bitIndex0)) | (~v100(constB178)) | v129(constB178, bitIndex0)) <=> ((~v90(constB178, bitIndex0)) | v129(constB178, bitIndex0) | (~v100(constB178)))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(26957,plain,
% 25.73/17.52 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB178, bitIndex0)) | (~v100(constB178)) | v129(constB178, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB178, bitIndex0)) | v129(constB178, bitIndex0) | (~v100(constB178))))),
% 25.73/17.52 inference(monotonicity,[status(thm)],[26956])).
% 25.73/17.52 tff(26958,plain,
% 25.73/17.52 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB178, bitIndex0)) | (~v100(constB178)) | v129(constB178, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB178, bitIndex0)) | v129(constB178, bitIndex0) | (~v100(constB178)))),
% 25.73/17.52 inference(transitivity,[status(thm)],[26957, 26955])).
% 25.73/17.52 tff(26959,plain,
% 25.73/17.52 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB178, bitIndex0)) | (~v100(constB178)) | v129(constB178, bitIndex0))),
% 25.73/17.52 inference(quant_inst,[status(thm)],[])).
% 25.73/17.52 tff(26960,plain,
% 25.73/17.52 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB178, bitIndex0)) | v129(constB178, bitIndex0) | (~v100(constB178))),
% 25.73/17.52 inference(modus_ponens,[status(thm)],[26959, 26958])).
% 25.73/17.52 tff(26961,plain,
% 25.73/17.52 ((~v90(constB178, bitIndex0)) | (~v100(constB178))),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[26960, 1374, 26954])).
% 25.73/17.52 tff(26962,plain,
% 25.73/17.52 (~v90(constB178, bitIndex0)),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[26961, 26857])).
% 25.73/17.52 tff(26963,plain,
% 25.73/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex0)))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(26964,plain,
% 25.73/17.52 (((~nextState(constB178, constB179)) | v90(constB178, bitIndex0) | v100(constB179) | (~v90(constB179, bitIndex0))) <=> (v90(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex0)))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(26965,plain,
% 25.73/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex0) | v100(constB179) | (~v90(constB179, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex0))))),
% 25.73/17.52 inference(monotonicity,[status(thm)],[26964])).
% 25.73/17.52 tff(26966,plain,
% 25.73/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex0) | v100(constB179) | (~v90(constB179, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex0)))),
% 25.73/17.52 inference(transitivity,[status(thm)],[26965, 26963])).
% 25.73/17.52 tff(26967,plain,
% 25.73/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex0) | v100(constB179) | (~v90(constB179, bitIndex0)))),
% 25.73/17.52 inference(quant_inst,[status(thm)],[])).
% 25.73/17.52 tff(26968,plain,
% 25.73/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex0))),
% 25.73/17.52 inference(modus_ponens,[status(thm)],[26967, 26966])).
% 25.73/17.52 tff(26969,plain,
% 25.73/17.52 (v90(constB178, bitIndex0) | v100(constB179) | (~v90(constB179, bitIndex0))),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[26968, 934, 26885])).
% 25.73/17.52 tff(26970,plain,
% 25.73/17.52 (v90(constB178, bitIndex0) | (~v90(constB179, bitIndex0))),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[26969, 26897])).
% 25.73/17.52 tff(26971,plain,
% 25.73/17.52 (~v90(constB179, bitIndex0)),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[26970, 26962])).
% 25.73/17.52 tff(26972,plain,
% 25.73/17.52 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex2) | v121(constB179))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex2) | v121(constB179))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(26973,plain,
% 25.73/17.52 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex2) | v121(constB179))),
% 25.73/17.52 inference(quant_inst,[status(thm)],[])).
% 25.73/17.52 tff(26974,plain,
% 25.73/17.52 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex2) | v121(constB179)),
% 25.73/17.52 inference(modus_ponens,[status(thm)],[26973, 26972])).
% 25.73/17.52 tff(26975,plain,
% 25.73/17.52 (v121(constB179)),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[26974, 2145, 26971, 26937, 26906])).
% 25.73/17.52 tff(26976,plain,
% 25.73/17.52 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB179) | (~v121(constB179)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB179) | (~v121(constB179)))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(26977,plain,
% 25.73/17.52 (((~v121(constB179)) | v117(constB179)) <=> (v117(constB179) | (~v121(constB179)))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(26978,plain,
% 25.73/17.52 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB179)) | v117(constB179))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB179) | (~v121(constB179))))),
% 25.73/17.52 inference(monotonicity,[status(thm)],[26977])).
% 25.73/17.52 tff(26979,plain,
% 25.73/17.52 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB179)) | v117(constB179))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB179) | (~v121(constB179)))),
% 25.73/17.52 inference(transitivity,[status(thm)],[26978, 26976])).
% 25.73/17.52 tff(26980,plain,
% 25.73/17.52 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB179)) | v117(constB179))),
% 25.73/17.52 inference(quant_inst,[status(thm)],[])).
% 25.73/17.52 tff(26981,plain,
% 25.73/17.52 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB179) | (~v121(constB179))),
% 25.73/17.52 inference(modus_ponens,[status(thm)],[26980, 26979])).
% 25.73/17.52 tff(26982,plain,
% 25.73/17.52 (v117(constB179)),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[26981, 2102, 26975])).
% 25.73/17.52 tff(26983,plain,
% 25.73/17.52 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB179) | (~v117(constB179)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB179) | (~v117(constB179)))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(26984,plain,
% 25.73/17.52 (((~v117(constB179)) | v116(constB179)) <=> (v116(constB179) | (~v117(constB179)))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(26985,plain,
% 25.73/17.52 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB179)) | v116(constB179))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB179) | (~v117(constB179))))),
% 25.73/17.52 inference(monotonicity,[status(thm)],[26984])).
% 25.73/17.52 tff(26986,plain,
% 25.73/17.52 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB179)) | v116(constB179))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB179) | (~v117(constB179)))),
% 25.73/17.52 inference(transitivity,[status(thm)],[26985, 26983])).
% 25.73/17.52 tff(26987,plain,
% 25.73/17.52 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB179)) | v116(constB179))),
% 25.73/17.52 inference(quant_inst,[status(thm)],[])).
% 25.73/17.52 tff(26988,plain,
% 25.73/17.52 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB179) | (~v117(constB179))),
% 25.73/17.52 inference(modus_ponens,[status(thm)],[26987, 26986])).
% 25.73/17.52 tff(26989,plain,
% 25.73/17.52 (v116(constB179)),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[26988, 994, 26982])).
% 25.73/17.52 tff(26990,plain,
% 25.73/17.52 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB179) | (~v116(constB179)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB179) | (~v116(constB179)))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(26991,plain,
% 25.73/17.52 (((~v116(constB179)) | v115(constB179)) <=> (v115(constB179) | (~v116(constB179)))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(26992,plain,
% 25.73/17.52 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB179)) | v115(constB179))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB179) | (~v116(constB179))))),
% 25.73/17.52 inference(monotonicity,[status(thm)],[26991])).
% 25.73/17.52 tff(26993,plain,
% 25.73/17.52 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB179)) | v115(constB179))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB179) | (~v116(constB179)))),
% 25.73/17.52 inference(transitivity,[status(thm)],[26992, 26990])).
% 25.73/17.52 tff(26994,plain,
% 25.73/17.52 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB179)) | v115(constB179))),
% 25.73/17.52 inference(quant_inst,[status(thm)],[])).
% 25.73/17.52 tff(26995,plain,
% 25.73/17.52 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB179) | (~v116(constB179))),
% 25.73/17.52 inference(modus_ponens,[status(thm)],[26994, 26993])).
% 25.73/17.52 tff(26996,plain,
% 25.73/17.52 (v115(constB179)),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[26995, 1008, 26989])).
% 25.73/17.52 tff(26997,plain,
% 25.73/17.52 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB179) | (~v115(constB179)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB179) | (~v115(constB179)))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(26998,plain,
% 25.73/17.52 (((~v115(constB179)) | v114(constB179)) <=> (v114(constB179) | (~v115(constB179)))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(26999,plain,
% 25.73/17.52 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB179)) | v114(constB179))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB179) | (~v115(constB179))))),
% 25.73/17.52 inference(monotonicity,[status(thm)],[26998])).
% 25.73/17.52 tff(27000,plain,
% 25.73/17.52 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB179)) | v114(constB179))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB179) | (~v115(constB179)))),
% 25.73/17.52 inference(transitivity,[status(thm)],[26999, 26997])).
% 25.73/17.52 tff(27001,plain,
% 25.73/17.52 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB179)) | v114(constB179))),
% 25.73/17.52 inference(quant_inst,[status(thm)],[])).
% 25.73/17.52 tff(27002,plain,
% 25.73/17.52 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB179) | (~v115(constB179))),
% 25.73/17.52 inference(modus_ponens,[status(thm)],[27001, 27000])).
% 25.73/17.52 tff(27003,plain,
% 25.73/17.52 (v114(constB179)),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[27002, 1022, 26996])).
% 25.73/17.52 tff(27004,plain,
% 25.73/17.52 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB179) | (~v114(constB179)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB179) | (~v114(constB179)))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(27005,plain,
% 25.73/17.52 (((~v114(constB179)) | v113(constB179)) <=> (v113(constB179) | (~v114(constB179)))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(27006,plain,
% 25.73/17.52 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB179)) | v113(constB179))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB179) | (~v114(constB179))))),
% 25.73/17.52 inference(monotonicity,[status(thm)],[27005])).
% 25.73/17.52 tff(27007,plain,
% 25.73/17.52 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB179)) | v113(constB179))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB179) | (~v114(constB179)))),
% 25.73/17.52 inference(transitivity,[status(thm)],[27006, 27004])).
% 25.73/17.52 tff(27008,plain,
% 25.73/17.52 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB179)) | v113(constB179))),
% 25.73/17.52 inference(quant_inst,[status(thm)],[])).
% 25.73/17.52 tff(27009,plain,
% 25.73/17.52 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB179) | (~v114(constB179))),
% 25.73/17.52 inference(modus_ponens,[status(thm)],[27008, 27007])).
% 25.73/17.52 tff(27010,plain,
% 25.73/17.52 (v113(constB179)),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[27009, 1036, 27003])).
% 25.73/17.52 tff(27011,assumption,(v26(constB179)), introduced(assumption)).
% 25.73/17.52 tff(27012,plain,
% 25.73/17.52 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB179))),
% 25.73/17.52 inference(quant_inst,[status(thm)],[])).
% 25.73/17.52 tff(27013,plain,
% 25.73/17.52 ($false),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[27012, 797, 27011])).
% 25.73/17.52 tff(27014,plain,(~v26(constB179)), inference(lemma,lemma(discharge,[]))).
% 25.73/17.52 tff(27015,plain,
% 25.73/17.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | (~v113(constB179)) | v112(constB179))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(27016,plain,
% 25.73/17.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))),
% 25.73/17.52 inference(quant_inst,[status(thm)],[])).
% 25.73/17.52 tff(27017,plain,
% 25.73/17.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | (~v113(constB179)) | v112(constB179)),
% 25.73/17.52 inference(modus_ponens,[status(thm)],[27016, 27015])).
% 25.73/17.52 tff(27018,plain,
% 25.73/17.52 ((~v113(constB179)) | v112(constB179)),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[27017, 1050, 27014])).
% 25.73/17.52 tff(27019,plain,
% 25.73/17.52 (v112(constB179)),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[27018, 27010])).
% 25.73/17.52 tff(27020,plain,
% 25.73/17.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB179) | (~v112(constB179)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v112(constB179)))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(27021,plain,
% 25.73/17.52 (((~v112(constB179)) | v108(constB179)) <=> (v108(constB179) | (~v112(constB179)))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(27022,plain,
% 25.73/17.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB179)) | v108(constB179))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB179) | (~v112(constB179))))),
% 25.73/17.52 inference(monotonicity,[status(thm)],[27021])).
% 25.73/17.52 tff(27023,plain,
% 25.73/17.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB179)) | v108(constB179))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v112(constB179)))),
% 25.73/17.52 inference(transitivity,[status(thm)],[27022, 27020])).
% 25.73/17.52 tff(27024,plain,
% 25.73/17.52 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB179)) | v108(constB179))),
% 25.73/17.52 inference(quant_inst,[status(thm)],[])).
% 25.73/17.52 tff(27025,plain,
% 25.73/17.52 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v112(constB179))),
% 25.73/17.52 inference(modus_ponens,[status(thm)],[27024, 27023])).
% 25.73/17.52 tff(27026,plain,
% 25.73/17.52 (v108(constB179)),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[27025, 1062, 27019])).
% 25.73/17.52 tff(27027,plain,
% 25.73/17.52 (nextState(constB179, constB180) <=> nextState(constB179, constB180)),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(27028,axiom,(nextState(constB179, constB180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_179_1')).
% 25.73/17.52 tff(27029,plain,
% 25.73/17.52 (nextState(constB179, constB180)),
% 25.73/17.52 inference(modus_ponens,[status(thm)],[27028, 27027])).
% 25.73/17.52 tff(27030,plain,
% 25.73/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(27031,plain,
% 25.73/17.52 (((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180)) <=> ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(27032,plain,
% 25.73/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179))))),
% 25.73/17.52 inference(monotonicity,[status(thm)],[27031])).
% 25.73/17.52 tff(27033,plain,
% 25.73/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 25.73/17.52 inference(transitivity,[status(thm)],[27032, 27030])).
% 25.73/17.52 tff(27034,plain,
% 25.73/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))),
% 25.73/17.52 inference(quant_inst,[status(thm)],[])).
% 25.73/17.52 tff(27035,plain,
% 25.73/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179))),
% 25.73/17.52 inference(modus_ponens,[status(thm)],[27034, 27033])).
% 25.73/17.52 tff(27036,plain,
% 25.73/17.52 (v110(constB180) | (~v108(constB179))),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[27035, 1082, 27029])).
% 25.73/17.52 tff(27037,plain,
% 25.73/17.52 (v110(constB180)),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[27036, 27026])).
% 25.73/17.52 tff(27038,plain,
% 25.73/17.52 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(27039,plain,
% 25.73/17.52 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))),
% 25.73/17.52 inference(quant_inst,[status(thm)],[])).
% 25.73/17.52 tff(27040,plain,
% 25.73/17.52 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180))),
% 25.73/17.52 inference(modus_ponens,[status(thm)],[27039, 27038])).
% 25.73/17.52 tff(27041,plain,
% 25.73/17.52 (~v104(constB180)),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[27040, 1100, 27029, 26882])).
% 25.73/17.52 tff(27042,plain,
% 25.73/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(27043,plain,
% 25.73/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))),
% 25.73/17.52 inference(quant_inst,[status(thm)],[])).
% 25.73/17.52 tff(27044,plain,
% 25.73/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB179, constB180)) | v102(constB180) | v104(constB180)),
% 25.73/17.52 inference(modus_ponens,[status(thm)],[27043, 27042])).
% 25.73/17.52 tff(27045,plain,
% 25.73/17.52 (v102(constB180) | v104(constB180)),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[27044, 1114, 27029])).
% 25.73/17.52 tff(27046,plain,
% 25.73/17.52 (v102(constB180)),
% 25.73/17.52 inference(unit_resolution,[status(thm)],[27045, 27041])).
% 25.73/17.52 tff(27047,plain,
% 25.73/17.52 (v1(constB180) <=> v1(constB180)),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(27048,axiom,(v1(constB180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_180_1')).
% 25.73/17.52 tff(27049,plain,
% 25.73/17.52 (v1(constB180)),
% 25.73/17.52 inference(modus_ponens,[status(thm)],[27048, 27047])).
% 25.73/17.52 tff(27050,plain,
% 25.73/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))),
% 25.73/17.52 inference(rewrite,[status(thm)],[])).
% 25.73/17.52 tff(27051,plain,
% 25.73/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))),
% 25.81/17.52 inference(quant_inst,[status(thm)],[])).
% 25.81/17.52 tff(27052,plain,
% 25.81/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180))),
% 25.81/17.52 inference(modus_ponens,[status(thm)],[27051, 27050])).
% 25.81/17.52 tff(27053,plain,
% 25.81/17.52 (v101(constB180) | (~v102(constB180))),
% 25.81/17.52 inference(unit_resolution,[status(thm)],[27052, 1129, 27029, 27049])).
% 25.81/17.52 tff(27054,plain,
% 25.81/17.52 (v101(constB180)),
% 25.81/17.52 inference(unit_resolution,[status(thm)],[27053, 27046])).
% 25.81/17.52 tff(27055,plain,
% 25.81/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 25.81/17.52 inference(rewrite,[status(thm)],[])).
% 25.81/17.52 tff(27056,plain,
% 25.81/17.52 (((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180)) <=> ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 25.81/17.52 inference(rewrite,[status(thm)],[])).
% 25.81/17.52 tff(27057,plain,
% 25.81/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180))))),
% 25.81/17.52 inference(monotonicity,[status(thm)],[27056])).
% 25.81/17.52 tff(27058,plain,
% 25.81/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 25.81/17.52 inference(transitivity,[status(thm)],[27057, 27055])).
% 25.81/17.52 tff(27059,plain,
% 25.81/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))),
% 25.81/17.52 inference(quant_inst,[status(thm)],[])).
% 25.81/17.52 tff(27060,plain,
% 25.81/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180))),
% 25.81/17.52 inference(modus_ponens,[status(thm)],[27059, 27058])).
% 25.81/17.52 tff(27061,plain,
% 25.81/17.52 (v100(constB180) | (~v101(constB180)) | (~v110(constB180))),
% 25.81/17.52 inference(unit_resolution,[status(thm)],[27060, 1144, 27029])).
% 25.81/17.52 tff(27062,plain,
% 25.81/17.52 (v100(constB180) | (~v110(constB180))),
% 25.81/17.52 inference(unit_resolution,[status(thm)],[27061, 27054])).
% 25.81/17.52 tff(27063,plain,
% 25.81/17.52 (v100(constB180)),
% 25.81/17.52 inference(unit_resolution,[status(thm)],[27062, 27037])).
% 25.81/17.52 tff(27064,plain,
% 25.81/17.52 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB179)) | (~v130(constB179, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB179)) | (~v130(constB179, bitIndex2)))),
% 25.81/17.52 inference(rewrite,[status(thm)],[])).
% 25.81/17.52 tff(27065,plain,
% 25.81/17.52 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB179)) | (~v130(constB179, bitIndex2)))),
% 25.81/17.52 inference(quant_inst,[status(thm)],[])).
% 25.81/17.52 tff(27066,plain,
% 25.81/17.52 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB179)) | (~v130(constB179, bitIndex2))),
% 25.81/17.52 inference(modus_ponens,[status(thm)],[27065, 27064])).
% 25.81/17.52 tff(27067,plain,
% 25.81/17.52 (~v130(constB179, bitIndex2)),
% 25.81/17.52 inference(unit_resolution,[status(thm)],[27066, 2406, 26975])).
% 25.81/17.52 tff(27068,plain,
% 25.81/17.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB179, bitIndex2)) | v26(constB179) | v130(constB179, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB179, bitIndex2)) | v26(constB179) | v130(constB179, bitIndex2))),
% 25.81/17.52 inference(rewrite,[status(thm)],[])).
% 25.81/17.52 tff(27069,plain,
% 25.81/17.52 ((v26(constB179) | v130(constB179, bitIndex2) | (~v127(constB179, bitIndex2))) <=> ((~v127(constB179, bitIndex2)) | v26(constB179) | v130(constB179, bitIndex2))),
% 25.81/17.52 inference(rewrite,[status(thm)],[])).
% 25.81/17.52 tff(27070,plain,
% 25.81/17.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB179) | v130(constB179, bitIndex2) | (~v127(constB179, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB179, bitIndex2)) | v26(constB179) | v130(constB179, bitIndex2)))),
% 25.81/17.52 inference(monotonicity,[status(thm)],[27069])).
% 25.81/17.52 tff(27071,plain,
% 25.81/17.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB179) | v130(constB179, bitIndex2) | (~v127(constB179, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB179, bitIndex2)) | v26(constB179) | v130(constB179, bitIndex2))),
% 25.81/17.52 inference(transitivity,[status(thm)],[27070, 27068])).
% 25.81/17.52 tff(27072,plain,
% 25.81/17.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB179) | v130(constB179, bitIndex2) | (~v127(constB179, bitIndex2)))),
% 25.81/17.52 inference(quant_inst,[status(thm)],[])).
% 25.81/17.52 tff(27073,plain,
% 25.81/17.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB179, bitIndex2)) | v26(constB179) | v130(constB179, bitIndex2)),
% 25.81/17.52 inference(modus_ponens,[status(thm)],[27072, 27071])).
% 25.81/17.52 tff(27074,plain,
% 25.81/17.52 ((~v127(constB179, bitIndex2)) | v130(constB179, bitIndex2)),
% 25.81/17.52 inference(unit_resolution,[status(thm)],[27073, 1812, 27014])).
% 25.81/17.52 tff(27075,plain,
% 25.81/17.52 (~v127(constB179, bitIndex2)),
% 25.81/17.52 inference(unit_resolution,[status(thm)],[27074, 27067])).
% 25.81/17.52 tff(27076,plain,
% 25.81/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB179, constB180)) | v127(constB179, bitIndex2) | (~v129(constB180, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB179, constB180)) | v127(constB179, bitIndex2) | (~v129(constB180, bitIndex2)))),
% 25.81/17.52 inference(rewrite,[status(thm)],[])).
% 25.81/17.52 tff(27077,plain,
% 25.81/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB179, constB180)) | v127(constB179, bitIndex2) | (~v129(constB180, bitIndex2)))),
% 25.81/17.52 inference(quant_inst,[status(thm)],[])).
% 25.81/17.52 tff(27078,plain,
% 25.81/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB179, constB180)) | v127(constB179, bitIndex2) | (~v129(constB180, bitIndex2))),
% 25.81/17.52 inference(modus_ponens,[status(thm)],[27077, 27076])).
% 25.81/17.52 tff(27079,plain,
% 25.81/17.52 (v127(constB179, bitIndex2) | (~v129(constB180, bitIndex2))),
% 25.81/17.52 inference(unit_resolution,[status(thm)],[27078, 1830, 27029])).
% 25.81/17.52 tff(27080,plain,
% 25.81/17.52 (~v129(constB180, bitIndex2)),
% 25.81/17.52 inference(unit_resolution,[status(thm)],[27079, 27075])).
% 25.81/17.53 tff(27081,plain,
% 25.81/17.53 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB180, bitIndex2)) | v129(constB180, bitIndex2) | (~v100(constB180)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB180, bitIndex2)) | v129(constB180, bitIndex2) | (~v100(constB180)))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27082,plain,
% 25.81/17.53 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB180, bitIndex2)) | v129(constB180, bitIndex2) | (~v100(constB180)))),
% 25.81/17.53 inference(quant_inst,[status(thm)],[])).
% 25.81/17.53 tff(27083,plain,
% 25.81/17.53 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB180, bitIndex2)) | v129(constB180, bitIndex2) | (~v100(constB180))),
% 25.81/17.53 inference(modus_ponens,[status(thm)],[27082, 27081])).
% 25.81/17.53 tff(27084,plain,
% 25.81/17.53 ((~v90(constB180, bitIndex2)) | (~v100(constB180))),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27083, 1845, 27080])).
% 25.81/17.53 tff(27085,plain,
% 25.81/17.53 (~v90(constB180, bitIndex2)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27084, 27063])).
% 25.81/17.53 tff(27086,plain,
% 25.81/17.53 ((~v1(constB181)) <=> (~v1(constB181))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27087,axiom,(~v1(constB181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_181_1_1')).
% 25.81/17.53 tff(27088,plain,
% 25.81/17.53 (~v1(constB181)),
% 25.81/17.53 inference(modus_ponens,[status(thm)],[27087, 27086])).
% 25.81/17.53 tff(27089,plain,
% 25.81/17.53 (nextState(constB180, constB181) <=> nextState(constB180, constB181)),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27090,axiom,(nextState(constB180, constB181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_180_1')).
% 25.81/17.53 tff(27091,plain,
% 25.81/17.53 (nextState(constB180, constB181)),
% 25.81/17.53 inference(modus_ponens,[status(thm)],[27090, 27089])).
% 25.81/17.53 tff(27092,plain,
% 25.81/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27093,plain,
% 25.81/17.53 (((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181)) <=> (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27094,plain,
% 25.81/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181))))),
% 25.81/17.53 inference(monotonicity,[status(thm)],[27093])).
% 25.81/17.53 tff(27095,plain,
% 25.81/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 25.81/17.53 inference(transitivity,[status(thm)],[27094, 27092])).
% 25.81/17.53 tff(27096,plain,
% 25.81/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))),
% 25.81/17.53 inference(quant_inst,[status(thm)],[])).
% 25.81/17.53 tff(27097,plain,
% 25.81/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181))),
% 25.81/17.53 inference(modus_ponens,[status(thm)],[27096, 27095])).
% 25.81/17.53 tff(27098,plain,
% 25.81/17.53 (~v101(constB181)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27097, 860, 27091, 27088])).
% 25.81/17.53 tff(27099,plain,
% 25.81/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27100,plain,
% 25.81/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))),
% 25.81/17.53 inference(quant_inst,[status(thm)],[])).
% 25.81/17.53 tff(27101,plain,
% 25.81/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181))),
% 25.81/17.53 inference(modus_ponens,[status(thm)],[27100, 27099])).
% 25.81/17.53 tff(27102,plain,
% 25.81/17.53 (v101(constB181) | (~v100(constB181))),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27101, 877, 27091])).
% 25.81/17.53 tff(27103,plain,
% 25.81/17.53 (~v100(constB181)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27102, 27098])).
% 25.81/17.53 tff(27104,plain,
% 25.81/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex2)))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27105,plain,
% 25.81/17.53 (((~nextState(constB180, constB181)) | v90(constB180, bitIndex2) | v100(constB181) | (~v90(constB181, bitIndex2))) <=> (v90(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex2)))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27106,plain,
% 25.81/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB180, constB181)) | v90(constB180, bitIndex2) | v100(constB181) | (~v90(constB181, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex2))))),
% 25.81/17.53 inference(monotonicity,[status(thm)],[27105])).
% 25.81/17.53 tff(27107,plain,
% 25.81/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB180, constB181)) | v90(constB180, bitIndex2) | v100(constB181) | (~v90(constB181, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex2)))),
% 25.81/17.53 inference(transitivity,[status(thm)],[27106, 27104])).
% 25.81/17.53 tff(27108,plain,
% 25.81/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB180, constB181)) | v90(constB180, bitIndex2) | v100(constB181) | (~v90(constB181, bitIndex2)))),
% 25.81/17.53 inference(quant_inst,[status(thm)],[])).
% 25.81/17.53 tff(27109,plain,
% 25.81/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex2))),
% 25.81/17.53 inference(modus_ponens,[status(thm)],[27108, 27107])).
% 25.81/17.53 tff(27110,plain,
% 25.81/17.53 (v90(constB180, bitIndex2) | v100(constB181) | (~v90(constB181, bitIndex2))),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27109, 892, 27091])).
% 25.81/17.53 tff(27111,plain,
% 25.81/17.53 (v90(constB180, bitIndex2) | (~v90(constB181, bitIndex2))),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27110, 27103])).
% 25.81/17.53 tff(27112,plain,
% 25.81/17.53 (~v90(constB181, bitIndex2)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27111, 27085])).
% 25.81/17.53 tff(27113,plain,
% 25.81/17.53 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB179)) | v130(constB179, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB179)) | v130(constB179, bitIndex1))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27114,plain,
% 25.81/17.53 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB179)) | v130(constB179, bitIndex1))),
% 25.81/17.53 inference(quant_inst,[status(thm)],[])).
% 25.81/17.53 tff(27115,plain,
% 25.81/17.53 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB179)) | v130(constB179, bitIndex1)),
% 25.81/17.53 inference(modus_ponens,[status(thm)],[27114, 27113])).
% 25.81/17.53 tff(27116,plain,
% 25.81/17.53 (v130(constB179, bitIndex1)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27115, 2562, 26975])).
% 25.81/17.53 tff(27117,plain,
% 25.81/17.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27118,plain,
% 25.81/17.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1))),
% 25.81/17.53 inference(quant_inst,[status(thm)],[])).
% 25.81/17.53 tff(27119,plain,
% 25.81/17.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1)),
% 25.81/17.53 inference(modus_ponens,[status(thm)],[27118, 27117])).
% 25.81/17.53 tff(27120,plain,
% 25.81/17.53 ((~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27119, 1553, 27014])).
% 25.81/17.53 tff(27121,plain,
% 25.81/17.53 (v127(constB179, bitIndex1)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27120, 27116])).
% 25.81/17.53 tff(27122,plain,
% 25.81/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27123,plain,
% 25.81/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1))),
% 25.81/17.53 inference(quant_inst,[status(thm)],[])).
% 25.81/17.53 tff(27124,plain,
% 25.81/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1)),
% 25.81/17.53 inference(modus_ponens,[status(thm)],[27123, 27122])).
% 25.81/17.53 tff(27125,plain,
% 25.81/17.53 ((~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27124, 1568, 27029])).
% 25.81/17.53 tff(27126,plain,
% 25.81/17.53 (v129(constB180, bitIndex1)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27125, 27121])).
% 25.81/17.53 tff(27127,plain,
% 25.81/17.53 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27128,plain,
% 25.81/17.53 ((v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1))) <=> (v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27129,plain,
% 25.81/17.53 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180))))),
% 25.81/17.53 inference(monotonicity,[status(thm)],[27128])).
% 25.81/17.53 tff(27130,plain,
% 25.81/17.53 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))),
% 25.81/17.53 inference(transitivity,[status(thm)],[27129, 27127])).
% 25.81/17.53 tff(27131,plain,
% 25.81/17.53 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1)))),
% 25.81/17.53 inference(quant_inst,[status(thm)],[])).
% 25.81/17.53 tff(27132,plain,
% 25.81/17.53 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180))),
% 25.81/17.53 inference(modus_ponens,[status(thm)],[27131, 27130])).
% 25.81/17.53 tff(27133,plain,
% 25.81/17.53 (v90(constB180, bitIndex1) | (~v100(constB180))),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27132, 1583, 27126])).
% 25.81/17.53 tff(27134,plain,
% 25.81/17.53 (v90(constB180, bitIndex1)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27133, 27063])).
% 25.81/17.53 tff(27135,plain,
% 25.81/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27136,plain,
% 25.81/17.53 (((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1)) <=> ((~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27137,plain,
% 25.81/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1)))),
% 25.81/17.53 inference(monotonicity,[status(thm)],[27136])).
% 25.81/17.53 tff(27138,plain,
% 25.81/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))),
% 25.81/17.53 inference(transitivity,[status(thm)],[27137, 27135])).
% 25.81/17.53 tff(27139,plain,
% 25.81/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1))),
% 25.81/17.53 inference(quant_inst,[status(thm)],[])).
% 25.81/17.53 tff(27140,plain,
% 25.81/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1)),
% 25.81/17.53 inference(modus_ponens,[status(thm)],[27139, 27138])).
% 25.81/17.53 tff(27141,plain,
% 25.81/17.53 ((~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27140, 1601, 27091])).
% 25.81/17.53 tff(27142,plain,
% 25.81/17.53 ((~v90(constB180, bitIndex1)) | v90(constB181, bitIndex1)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27141, 27103])).
% 25.81/17.53 tff(27143,plain,
% 25.81/17.53 (v90(constB181, bitIndex1)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27142, 27134])).
% 25.81/17.53 tff(27144,plain,
% 25.81/17.53 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB179)) | v130(constB179, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB179)) | v130(constB179, bitIndex0))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27145,plain,
% 25.81/17.53 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB179)) | v130(constB179, bitIndex0))),
% 25.81/17.53 inference(quant_inst,[status(thm)],[])).
% 25.81/17.53 tff(27146,plain,
% 25.81/17.53 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB179)) | v130(constB179, bitIndex0)),
% 25.81/17.53 inference(modus_ponens,[status(thm)],[27145, 27144])).
% 25.81/17.53 tff(27147,plain,
% 25.81/17.53 (v130(constB179, bitIndex0)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27146, 2600, 26975])).
% 25.81/17.53 tff(27148,plain,
% 25.81/17.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB179) | (~v130(constB179, bitIndex0)) | v127(constB179, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB179) | (~v130(constB179, bitIndex0)) | v127(constB179, bitIndex0))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27149,plain,
% 25.81/17.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB179) | (~v130(constB179, bitIndex0)) | v127(constB179, bitIndex0))),
% 25.81/17.53 inference(quant_inst,[status(thm)],[])).
% 25.81/17.53 tff(27150,plain,
% 25.81/17.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB179) | (~v130(constB179, bitIndex0)) | v127(constB179, bitIndex0)),
% 25.81/17.53 inference(modus_ponens,[status(thm)],[27149, 27148])).
% 25.81/17.53 tff(27151,plain,
% 25.81/17.53 ((~v130(constB179, bitIndex0)) | v127(constB179, bitIndex0)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27150, 1945, 27014])).
% 25.81/17.53 tff(27152,plain,
% 25.81/17.53 (v127(constB179, bitIndex0)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27151, 27147])).
% 25.81/17.53 tff(27153,plain,
% 25.81/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex0)) | v129(constB180, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex0)) | v129(constB180, bitIndex0))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27154,plain,
% 25.81/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex0)) | v129(constB180, bitIndex0))),
% 25.81/17.53 inference(quant_inst,[status(thm)],[])).
% 25.81/17.53 tff(27155,plain,
% 25.81/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex0)) | v129(constB180, bitIndex0)),
% 25.81/17.53 inference(modus_ponens,[status(thm)],[27154, 27153])).
% 25.81/17.53 tff(27156,plain,
% 25.81/17.53 ((~v127(constB179, bitIndex0)) | v129(constB180, bitIndex0)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27155, 1960, 27029])).
% 25.81/17.53 tff(27157,plain,
% 25.81/17.53 (v129(constB180, bitIndex0)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27156, 27152])).
% 25.81/17.53 tff(27158,plain,
% 25.81/17.53 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB180, bitIndex0) | (~v129(constB180, bitIndex0)) | (~v100(constB180)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB180, bitIndex0) | (~v129(constB180, bitIndex0)) | (~v100(constB180)))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27159,plain,
% 25.81/17.53 ((v90(constB180, bitIndex0) | (~v100(constB180)) | (~v129(constB180, bitIndex0))) <=> (v90(constB180, bitIndex0) | (~v129(constB180, bitIndex0)) | (~v100(constB180)))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27160,plain,
% 25.81/17.53 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB180, bitIndex0) | (~v100(constB180)) | (~v129(constB180, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB180, bitIndex0) | (~v129(constB180, bitIndex0)) | (~v100(constB180))))),
% 25.81/17.53 inference(monotonicity,[status(thm)],[27159])).
% 25.81/17.53 tff(27161,plain,
% 25.81/17.53 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB180, bitIndex0) | (~v100(constB180)) | (~v129(constB180, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB180, bitIndex0) | (~v129(constB180, bitIndex0)) | (~v100(constB180)))),
% 25.81/17.53 inference(transitivity,[status(thm)],[27160, 27158])).
% 25.81/17.53 tff(27162,plain,
% 25.81/17.53 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB180, bitIndex0) | (~v100(constB180)) | (~v129(constB180, bitIndex0)))),
% 25.81/17.53 inference(quant_inst,[status(thm)],[])).
% 25.81/17.53 tff(27163,plain,
% 25.81/17.53 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB180, bitIndex0) | (~v129(constB180, bitIndex0)) | (~v100(constB180))),
% 25.81/17.53 inference(modus_ponens,[status(thm)],[27162, 27161])).
% 25.81/17.53 tff(27164,plain,
% 25.81/17.53 (v90(constB180, bitIndex0) | (~v100(constB180))),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27163, 1975, 27157])).
% 25.81/17.53 tff(27165,plain,
% 25.81/17.53 (v90(constB180, bitIndex0)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27164, 27063])).
% 25.81/17.53 tff(27166,plain,
% 25.81/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex0))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27167,plain,
% 25.81/17.53 (((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex0)) | v100(constB181) | v90(constB181, bitIndex0)) <=> ((~v90(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex0))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27168,plain,
% 25.81/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex0)) | v100(constB181) | v90(constB181, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex0)))),
% 25.81/17.53 inference(monotonicity,[status(thm)],[27167])).
% 25.81/17.53 tff(27169,plain,
% 25.81/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex0)) | v100(constB181) | v90(constB181, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex0))),
% 25.81/17.53 inference(transitivity,[status(thm)],[27168, 27166])).
% 25.81/17.53 tff(27170,plain,
% 25.81/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex0)) | v100(constB181) | v90(constB181, bitIndex0))),
% 25.81/17.53 inference(quant_inst,[status(thm)],[])).
% 25.81/17.53 tff(27171,plain,
% 25.81/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex0)),
% 25.81/17.53 inference(modus_ponens,[status(thm)],[27170, 27169])).
% 25.81/17.53 tff(27172,plain,
% 25.81/17.53 ((~v90(constB180, bitIndex0)) | v100(constB181) | v90(constB181, bitIndex0)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27171, 1993, 27091])).
% 25.81/17.53 tff(27173,plain,
% 25.81/17.53 ((~v90(constB180, bitIndex0)) | v90(constB181, bitIndex0)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27172, 27103])).
% 25.81/17.53 tff(27174,plain,
% 25.81/17.53 (v90(constB181, bitIndex0)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27173, 27165])).
% 25.81/17.53 tff(27175,plain,
% 25.81/17.53 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex2) | v122(constB181))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex2) | v122(constB181))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27176,plain,
% 25.81/17.53 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex2) | v122(constB181))),
% 25.81/17.53 inference(quant_inst,[status(thm)],[])).
% 25.81/17.53 tff(27177,plain,
% 25.81/17.53 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex2) | v122(constB181)),
% 25.81/17.53 inference(modus_ponens,[status(thm)],[27176, 27175])).
% 25.81/17.53 tff(27178,plain,
% 25.81/17.53 (v122(constB181)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27177, 2641, 27174, 27143, 27112])).
% 25.81/17.53 tff(27179,plain,
% 25.81/17.53 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB181) | (~v122(constB181)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB181) | (~v122(constB181)))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27180,plain,
% 25.81/17.53 (((~v122(constB181)) | v116(constB181)) <=> (v116(constB181) | (~v122(constB181)))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27181,plain,
% 25.81/17.53 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB181)) | v116(constB181))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB181) | (~v122(constB181))))),
% 25.81/17.53 inference(monotonicity,[status(thm)],[27180])).
% 25.81/17.53 tff(27182,plain,
% 25.81/17.53 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB181)) | v116(constB181))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB181) | (~v122(constB181)))),
% 25.81/17.53 inference(transitivity,[status(thm)],[27181, 27179])).
% 25.81/17.53 tff(27183,plain,
% 25.81/17.53 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB181)) | v116(constB181))),
% 25.81/17.53 inference(quant_inst,[status(thm)],[])).
% 25.81/17.53 tff(27184,plain,
% 25.81/17.53 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB181) | (~v122(constB181))),
% 25.81/17.53 inference(modus_ponens,[status(thm)],[27183, 27182])).
% 25.81/17.53 tff(27185,plain,
% 25.81/17.53 (v116(constB181)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27184, 2652, 27178])).
% 25.81/17.53 tff(27186,plain,
% 25.81/17.53 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB181) | (~v116(constB181)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB181) | (~v116(constB181)))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27187,plain,
% 25.81/17.53 (((~v116(constB181)) | v115(constB181)) <=> (v115(constB181) | (~v116(constB181)))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27188,plain,
% 25.81/17.53 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB181)) | v115(constB181))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB181) | (~v116(constB181))))),
% 25.81/17.53 inference(monotonicity,[status(thm)],[27187])).
% 25.81/17.53 tff(27189,plain,
% 25.81/17.53 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB181)) | v115(constB181))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB181) | (~v116(constB181)))),
% 25.81/17.53 inference(transitivity,[status(thm)],[27188, 27186])).
% 25.81/17.53 tff(27190,plain,
% 25.81/17.53 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB181)) | v115(constB181))),
% 25.81/17.53 inference(quant_inst,[status(thm)],[])).
% 25.81/17.53 tff(27191,plain,
% 25.81/17.53 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB181) | (~v116(constB181))),
% 25.81/17.53 inference(modus_ponens,[status(thm)],[27190, 27189])).
% 25.81/17.53 tff(27192,plain,
% 25.81/17.53 (v115(constB181)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27191, 1008, 27185])).
% 25.81/17.53 tff(27193,plain,
% 25.81/17.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB181) | (~v115(constB181)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB181) | (~v115(constB181)))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27194,plain,
% 25.81/17.53 (((~v115(constB181)) | v114(constB181)) <=> (v114(constB181) | (~v115(constB181)))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27195,plain,
% 25.81/17.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB181)) | v114(constB181))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB181) | (~v115(constB181))))),
% 25.81/17.53 inference(monotonicity,[status(thm)],[27194])).
% 25.81/17.53 tff(27196,plain,
% 25.81/17.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB181)) | v114(constB181))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB181) | (~v115(constB181)))),
% 25.81/17.53 inference(transitivity,[status(thm)],[27195, 27193])).
% 25.81/17.53 tff(27197,plain,
% 25.81/17.53 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB181)) | v114(constB181))),
% 25.81/17.53 inference(quant_inst,[status(thm)],[])).
% 25.81/17.53 tff(27198,plain,
% 25.81/17.53 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB181) | (~v115(constB181))),
% 25.81/17.53 inference(modus_ponens,[status(thm)],[27197, 27196])).
% 25.81/17.53 tff(27199,plain,
% 25.81/17.53 (v114(constB181)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27198, 1022, 27192])).
% 25.81/17.53 tff(27200,plain,
% 25.81/17.53 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB181) | (~v114(constB181)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB181) | (~v114(constB181)))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27201,plain,
% 25.81/17.53 (((~v114(constB181)) | v113(constB181)) <=> (v113(constB181) | (~v114(constB181)))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27202,plain,
% 25.81/17.53 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB181)) | v113(constB181))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB181) | (~v114(constB181))))),
% 25.81/17.53 inference(monotonicity,[status(thm)],[27201])).
% 25.81/17.53 tff(27203,plain,
% 25.81/17.53 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB181)) | v113(constB181))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB181) | (~v114(constB181)))),
% 25.81/17.53 inference(transitivity,[status(thm)],[27202, 27200])).
% 25.81/17.53 tff(27204,plain,
% 25.81/17.53 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB181)) | v113(constB181))),
% 25.81/17.53 inference(quant_inst,[status(thm)],[])).
% 25.81/17.53 tff(27205,plain,
% 25.81/17.53 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB181) | (~v114(constB181))),
% 25.81/17.53 inference(modus_ponens,[status(thm)],[27204, 27203])).
% 25.81/17.53 tff(27206,plain,
% 25.81/17.53 (v113(constB181)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27205, 1036, 27199])).
% 25.81/17.53 tff(27207,assumption,(v26(constB181)), introduced(assumption)).
% 25.81/17.53 tff(27208,plain,
% 25.81/17.53 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB181))),
% 25.81/17.53 inference(quant_inst,[status(thm)],[])).
% 25.81/17.53 tff(27209,plain,
% 25.81/17.53 ($false),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27208, 797, 27207])).
% 25.81/17.53 tff(27210,plain,(~v26(constB181)), inference(lemma,lemma(discharge,[]))).
% 25.81/17.53 tff(27211,plain,
% 25.81/17.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | v112(constB181) | (~v113(constB181)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | v112(constB181) | (~v113(constB181)))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27212,plain,
% 25.81/17.53 ((v26(constB181) | (~v113(constB181)) | v112(constB181)) <=> (v26(constB181) | v112(constB181) | (~v113(constB181)))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27213,plain,
% 25.81/17.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | (~v113(constB181)) | v112(constB181))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | v112(constB181) | (~v113(constB181))))),
% 25.81/17.53 inference(monotonicity,[status(thm)],[27212])).
% 25.81/17.53 tff(27214,plain,
% 25.81/17.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | (~v113(constB181)) | v112(constB181))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | v112(constB181) | (~v113(constB181)))),
% 25.81/17.53 inference(transitivity,[status(thm)],[27213, 27211])).
% 25.81/17.53 tff(27215,plain,
% 25.81/17.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | (~v113(constB181)) | v112(constB181))),
% 25.81/17.53 inference(quant_inst,[status(thm)],[])).
% 25.81/17.53 tff(27216,plain,
% 25.81/17.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | v112(constB181) | (~v113(constB181))),
% 25.81/17.53 inference(modus_ponens,[status(thm)],[27215, 27214])).
% 25.81/17.53 tff(27217,plain,
% 25.81/17.53 (v112(constB181) | (~v113(constB181))),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27216, 1050, 27210])).
% 25.81/17.53 tff(27218,plain,
% 25.81/17.53 (v112(constB181)),
% 25.81/17.53 inference(unit_resolution,[status(thm)],[27217, 27206])).
% 25.81/17.53 tff(27219,plain,
% 25.81/17.53 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB181) | (~v112(constB181)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v112(constB181)))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.53 tff(27220,plain,
% 25.81/17.53 (((~v112(constB181)) | v108(constB181)) <=> (v108(constB181) | (~v112(constB181)))),
% 25.81/17.53 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27221,plain,
% 25.81/17.54 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB181)) | v108(constB181))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB181) | (~v112(constB181))))),
% 25.81/17.54 inference(monotonicity,[status(thm)],[27220])).
% 25.81/17.54 tff(27222,plain,
% 25.81/17.54 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB181)) | v108(constB181))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v112(constB181)))),
% 25.81/17.54 inference(transitivity,[status(thm)],[27221, 27219])).
% 25.81/17.54 tff(27223,plain,
% 25.81/17.54 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB181)) | v108(constB181))),
% 25.81/17.54 inference(quant_inst,[status(thm)],[])).
% 25.81/17.54 tff(27224,plain,
% 25.81/17.54 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v112(constB181))),
% 25.81/17.54 inference(modus_ponens,[status(thm)],[27223, 27222])).
% 25.81/17.54 tff(27225,plain,
% 25.81/17.54 (v108(constB181)),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27224, 1062, 27218])).
% 25.81/17.54 tff(27226,plain,
% 25.81/17.54 (nextState(constB181, constB182) <=> nextState(constB181, constB182)),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27227,axiom,(nextState(constB181, constB182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_181_1')).
% 25.81/17.54 tff(27228,plain,
% 25.81/17.54 (nextState(constB181, constB182)),
% 25.81/17.54 inference(modus_ponens,[status(thm)],[27227, 27226])).
% 25.81/17.54 tff(27229,plain,
% 25.81/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27230,plain,
% 25.81/17.54 (((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182)) <=> ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27231,plain,
% 25.81/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181))))),
% 25.81/17.54 inference(monotonicity,[status(thm)],[27230])).
% 25.81/17.54 tff(27232,plain,
% 25.81/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 25.81/17.54 inference(transitivity,[status(thm)],[27231, 27229])).
% 25.81/17.54 tff(27233,plain,
% 25.81/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))),
% 25.81/17.54 inference(quant_inst,[status(thm)],[])).
% 25.81/17.54 tff(27234,plain,
% 25.81/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181))),
% 25.81/17.54 inference(modus_ponens,[status(thm)],[27233, 27232])).
% 25.81/17.54 tff(27235,plain,
% 25.81/17.54 (v110(constB182) | (~v108(constB181))),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27234, 1082, 27228])).
% 25.81/17.54 tff(27236,plain,
% 25.81/17.54 (v110(constB182)),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27235, 27225])).
% 25.81/17.54 tff(27237,plain,
% 25.81/17.54 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27238,plain,
% 25.81/17.54 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))),
% 25.81/17.54 inference(quant_inst,[status(thm)],[])).
% 25.81/17.54 tff(27239,plain,
% 25.81/17.54 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182))),
% 25.81/17.54 inference(modus_ponens,[status(thm)],[27238, 27237])).
% 25.81/17.54 tff(27240,plain,
% 25.81/17.54 (~v104(constB182)),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27239, 1100, 27228, 27088])).
% 25.81/17.54 tff(27241,plain,
% 25.81/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27242,plain,
% 25.81/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))),
% 25.81/17.54 inference(quant_inst,[status(thm)],[])).
% 25.81/17.54 tff(27243,plain,
% 25.81/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB181, constB182)) | v102(constB182) | v104(constB182)),
% 25.81/17.54 inference(modus_ponens,[status(thm)],[27242, 27241])).
% 25.81/17.54 tff(27244,plain,
% 25.81/17.54 (v102(constB182) | v104(constB182)),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27243, 1114, 27228])).
% 25.81/17.54 tff(27245,plain,
% 25.81/17.54 (v102(constB182)),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27244, 27240])).
% 25.81/17.54 tff(27246,plain,
% 25.81/17.54 (v1(constB182) <=> v1(constB182)),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27247,axiom,(v1(constB182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_182_1')).
% 25.81/17.54 tff(27248,plain,
% 25.81/17.54 (v1(constB182)),
% 25.81/17.54 inference(modus_ponens,[status(thm)],[27247, 27246])).
% 25.81/17.54 tff(27249,plain,
% 25.81/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27250,plain,
% 25.81/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))),
% 25.81/17.54 inference(quant_inst,[status(thm)],[])).
% 25.81/17.54 tff(27251,plain,
% 25.81/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182))),
% 25.81/17.54 inference(modus_ponens,[status(thm)],[27250, 27249])).
% 25.81/17.54 tff(27252,plain,
% 25.81/17.54 (v101(constB182) | (~v102(constB182))),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27251, 1129, 27228, 27248])).
% 25.81/17.54 tff(27253,plain,
% 25.81/17.54 (v101(constB182)),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27252, 27245])).
% 25.81/17.54 tff(27254,plain,
% 25.81/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27255,plain,
% 25.81/17.54 (((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182)) <=> ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27256,plain,
% 25.81/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182))))),
% 25.81/17.54 inference(monotonicity,[status(thm)],[27255])).
% 25.81/17.54 tff(27257,plain,
% 25.81/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 25.81/17.54 inference(transitivity,[status(thm)],[27256, 27254])).
% 25.81/17.54 tff(27258,plain,
% 25.81/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))),
% 25.81/17.54 inference(quant_inst,[status(thm)],[])).
% 25.81/17.54 tff(27259,plain,
% 25.81/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182))),
% 25.81/17.54 inference(modus_ponens,[status(thm)],[27258, 27257])).
% 25.81/17.54 tff(27260,plain,
% 25.81/17.54 (v100(constB182) | (~v101(constB182)) | (~v110(constB182))),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27259, 1144, 27228])).
% 25.81/17.54 tff(27261,plain,
% 25.81/17.54 (v100(constB182) | (~v110(constB182))),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27260, 27253])).
% 25.81/17.54 tff(27262,plain,
% 25.81/17.54 (v100(constB182)),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27261, 27236])).
% 25.81/17.54 tff(27263,plain,
% 25.81/17.54 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB181)) | v130(constB181, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB181)) | v130(constB181, bitIndex2))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27264,plain,
% 25.81/17.54 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB181)) | v130(constB181, bitIndex2))),
% 25.81/17.54 inference(quant_inst,[status(thm)],[])).
% 25.81/17.54 tff(27265,plain,
% 25.81/17.54 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB181)) | v130(constB181, bitIndex2)),
% 25.81/17.54 inference(modus_ponens,[status(thm)],[27264, 27263])).
% 25.81/17.54 tff(27266,plain,
% 25.81/17.54 (v130(constB181, bitIndex2)),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27265, 2736, 27178])).
% 25.81/17.54 tff(27267,plain,
% 25.81/17.54 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB181) | (~v130(constB181, bitIndex2)) | v127(constB181, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB181) | (~v130(constB181, bitIndex2)) | v127(constB181, bitIndex2))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27268,plain,
% 25.81/17.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB181) | (~v130(constB181, bitIndex2)) | v127(constB181, bitIndex2))),
% 25.81/17.54 inference(quant_inst,[status(thm)],[])).
% 25.81/17.54 tff(27269,plain,
% 25.81/17.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB181) | (~v130(constB181, bitIndex2)) | v127(constB181, bitIndex2)),
% 25.81/17.54 inference(modus_ponens,[status(thm)],[27268, 27267])).
% 25.81/17.54 tff(27270,plain,
% 25.81/17.54 ((~v130(constB181, bitIndex2)) | v127(constB181, bitIndex2)),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27269, 1174, 27210])).
% 25.81/17.54 tff(27271,plain,
% 25.81/17.54 (v127(constB181, bitIndex2)),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27270, 27266])).
% 25.81/17.54 tff(27272,plain,
% 25.81/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB181, constB182)) | (~v127(constB181, bitIndex2)) | v129(constB182, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB181, constB182)) | (~v127(constB181, bitIndex2)) | v129(constB182, bitIndex2))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27273,plain,
% 25.81/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB181, constB182)) | (~v127(constB181, bitIndex2)) | v129(constB182, bitIndex2))),
% 25.81/17.54 inference(quant_inst,[status(thm)],[])).
% 25.81/17.54 tff(27274,plain,
% 25.81/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB181, constB182)) | (~v127(constB181, bitIndex2)) | v129(constB182, bitIndex2)),
% 25.81/17.54 inference(modus_ponens,[status(thm)],[27273, 27272])).
% 25.81/17.54 tff(27275,plain,
% 25.81/17.54 ((~v127(constB181, bitIndex2)) | v129(constB182, bitIndex2)),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27274, 1189, 27228])).
% 25.81/17.54 tff(27276,plain,
% 25.81/17.54 (v129(constB182, bitIndex2)),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27275, 27271])).
% 25.81/17.54 tff(27277,plain,
% 25.81/17.54 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB182, bitIndex2) | (~v129(constB182, bitIndex2)) | (~v100(constB182)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB182, bitIndex2) | (~v129(constB182, bitIndex2)) | (~v100(constB182)))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27278,plain,
% 25.81/17.54 ((v90(constB182, bitIndex2) | (~v100(constB182)) | (~v129(constB182, bitIndex2))) <=> (v90(constB182, bitIndex2) | (~v129(constB182, bitIndex2)) | (~v100(constB182)))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27279,plain,
% 25.81/17.54 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB182, bitIndex2) | (~v100(constB182)) | (~v129(constB182, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB182, bitIndex2) | (~v129(constB182, bitIndex2)) | (~v100(constB182))))),
% 25.81/17.54 inference(monotonicity,[status(thm)],[27278])).
% 25.81/17.54 tff(27280,plain,
% 25.81/17.54 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB182, bitIndex2) | (~v100(constB182)) | (~v129(constB182, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB182, bitIndex2) | (~v129(constB182, bitIndex2)) | (~v100(constB182)))),
% 25.81/17.54 inference(transitivity,[status(thm)],[27279, 27277])).
% 25.81/17.54 tff(27281,plain,
% 25.81/17.54 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB182, bitIndex2) | (~v100(constB182)) | (~v129(constB182, bitIndex2)))),
% 25.81/17.54 inference(quant_inst,[status(thm)],[])).
% 25.81/17.54 tff(27282,plain,
% 25.81/17.54 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB182, bitIndex2) | (~v129(constB182, bitIndex2)) | (~v100(constB182))),
% 25.81/17.54 inference(modus_ponens,[status(thm)],[27281, 27280])).
% 25.81/17.54 tff(27283,plain,
% 25.81/17.54 (v90(constB182, bitIndex2) | (~v100(constB182))),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27282, 1204, 27276])).
% 25.81/17.54 tff(27284,plain,
% 25.81/17.54 (v90(constB182, bitIndex2)),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27283, 27262])).
% 25.81/17.54 tff(27285,plain,
% 25.81/17.54 ((~v1(constB183)) <=> (~v1(constB183))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27286,axiom,(~v1(constB183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_183_1_1')).
% 25.81/17.54 tff(27287,plain,
% 25.81/17.54 (~v1(constB183)),
% 25.81/17.54 inference(modus_ponens,[status(thm)],[27286, 27285])).
% 25.81/17.54 tff(27288,plain,
% 25.81/17.54 (nextState(constB182, constB183) <=> nextState(constB182, constB183)),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27289,axiom,(nextState(constB182, constB183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_182_1')).
% 25.81/17.54 tff(27290,plain,
% 25.81/17.54 (nextState(constB182, constB183)),
% 25.81/17.54 inference(modus_ponens,[status(thm)],[27289, 27288])).
% 25.81/17.54 tff(27291,plain,
% 25.81/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27292,plain,
% 25.81/17.54 (((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183)) <=> (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27293,plain,
% 25.81/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183))))),
% 25.81/17.54 inference(monotonicity,[status(thm)],[27292])).
% 25.81/17.54 tff(27294,plain,
% 25.81/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 25.81/17.54 inference(transitivity,[status(thm)],[27293, 27291])).
% 25.81/17.54 tff(27295,plain,
% 25.81/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))),
% 25.81/17.54 inference(quant_inst,[status(thm)],[])).
% 25.81/17.54 tff(27296,plain,
% 25.81/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183))),
% 25.81/17.54 inference(modus_ponens,[status(thm)],[27295, 27294])).
% 25.81/17.54 tff(27297,plain,
% 25.81/17.54 (~v101(constB183)),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27296, 860, 27290, 27287])).
% 25.81/17.54 tff(27298,plain,
% 25.81/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27299,plain,
% 25.81/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))),
% 25.81/17.54 inference(quant_inst,[status(thm)],[])).
% 25.81/17.54 tff(27300,plain,
% 25.81/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183))),
% 25.81/17.54 inference(modus_ponens,[status(thm)],[27299, 27298])).
% 25.81/17.54 tff(27301,plain,
% 25.81/17.54 (v101(constB183) | (~v100(constB183))),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27300, 877, 27290])).
% 25.81/17.54 tff(27302,plain,
% 25.81/17.54 (~v100(constB183)),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27301, 27297])).
% 25.81/17.54 tff(27303,plain,
% 25.81/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex2))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27304,plain,
% 25.81/17.54 (((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex2)) | v100(constB183) | v90(constB183, bitIndex2)) <=> ((~v90(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex2))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27305,plain,
% 25.81/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex2)) | v100(constB183) | v90(constB183, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex2)))),
% 25.81/17.54 inference(monotonicity,[status(thm)],[27304])).
% 25.81/17.54 tff(27306,plain,
% 25.81/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex2)) | v100(constB183) | v90(constB183, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex2))),
% 25.81/17.54 inference(transitivity,[status(thm)],[27305, 27303])).
% 25.81/17.54 tff(27307,plain,
% 25.81/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex2)) | v100(constB183) | v90(constB183, bitIndex2))),
% 25.81/17.54 inference(quant_inst,[status(thm)],[])).
% 25.81/17.54 tff(27308,plain,
% 25.81/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex2)),
% 25.81/17.54 inference(modus_ponens,[status(thm)],[27307, 27306])).
% 25.81/17.54 tff(27309,plain,
% 25.81/17.54 ((~v90(constB182, bitIndex2)) | v100(constB183) | v90(constB183, bitIndex2)),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27308, 1240, 27290])).
% 25.81/17.54 tff(27310,plain,
% 25.81/17.54 ((~v90(constB182, bitIndex2)) | v90(constB183, bitIndex2)),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27309, 27302])).
% 25.81/17.54 tff(27311,plain,
% 25.81/17.54 (v90(constB183, bitIndex2)),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27310, 27284])).
% 25.81/17.54 tff(27312,plain,
% 25.81/17.54 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB181)) | (~v130(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB181)) | (~v130(constB181, bitIndex1)))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27313,plain,
% 25.81/17.54 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB181)) | (~v130(constB181, bitIndex1)))),
% 25.81/17.54 inference(quant_inst,[status(thm)],[])).
% 25.81/17.54 tff(27314,plain,
% 25.81/17.54 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB181)) | (~v130(constB181, bitIndex1))),
% 25.81/17.54 inference(modus_ponens,[status(thm)],[27313, 27312])).
% 25.81/17.54 tff(27315,plain,
% 25.81/17.54 (~v130(constB181, bitIndex1)),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27314, 2792, 27178])).
% 25.81/17.54 tff(27316,plain,
% 25.81/17.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27317,plain,
% 25.81/17.54 ((v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1))) <=> ((~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27318,plain,
% 25.81/17.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1)))),
% 25.81/17.54 inference(monotonicity,[status(thm)],[27317])).
% 25.81/17.54 tff(27319,plain,
% 25.81/17.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))),
% 25.81/17.54 inference(transitivity,[status(thm)],[27318, 27316])).
% 25.81/17.54 tff(27320,plain,
% 25.81/17.54 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1)))),
% 25.81/17.54 inference(quant_inst,[status(thm)],[])).
% 25.81/17.54 tff(27321,plain,
% 25.81/17.54 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1)),
% 25.81/17.54 inference(modus_ponens,[status(thm)],[27320, 27319])).
% 25.81/17.54 tff(27322,plain,
% 25.81/17.54 ((~v127(constB181, bitIndex1)) | v130(constB181, bitIndex1)),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27321, 1270, 27210])).
% 25.81/17.54 tff(27323,plain,
% 25.81/17.54 (~v127(constB181, bitIndex1)),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27322, 27315])).
% 25.81/17.54 tff(27324,plain,
% 25.81/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1)))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27325,plain,
% 25.81/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1)))),
% 25.81/17.54 inference(quant_inst,[status(thm)],[])).
% 25.81/17.54 tff(27326,plain,
% 25.81/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1))),
% 25.81/17.54 inference(modus_ponens,[status(thm)],[27325, 27324])).
% 25.81/17.54 tff(27327,plain,
% 25.81/17.54 (v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1))),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27326, 1288, 27228])).
% 25.81/17.54 tff(27328,plain,
% 25.81/17.54 (~v129(constB182, bitIndex1)),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27327, 27323])).
% 25.81/17.54 tff(27329,plain,
% 25.81/17.54 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27330,plain,
% 25.81/17.54 (((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1)) <=> ((~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27331,plain,
% 25.81/17.54 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182))))),
% 25.81/17.54 inference(monotonicity,[status(thm)],[27330])).
% 25.81/17.54 tff(27332,plain,
% 25.81/17.54 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))),
% 25.81/17.54 inference(transitivity,[status(thm)],[27331, 27329])).
% 25.81/17.54 tff(27333,plain,
% 25.81/17.54 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1))),
% 25.81/17.54 inference(quant_inst,[status(thm)],[])).
% 25.81/17.54 tff(27334,plain,
% 25.81/17.54 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182))),
% 25.81/17.54 inference(modus_ponens,[status(thm)],[27333, 27332])).
% 25.81/17.54 tff(27335,plain,
% 25.81/17.54 ((~v90(constB182, bitIndex1)) | (~v100(constB182))),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27334, 1303, 27328])).
% 25.81/17.54 tff(27336,plain,
% 25.81/17.54 (~v90(constB182, bitIndex1)),
% 25.81/17.54 inference(unit_resolution,[status(thm)],[27335, 27262])).
% 25.81/17.54 tff(27337,plain,
% 25.81/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27338,plain,
% 25.81/17.54 (((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1))) <=> (v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 25.81/17.54 inference(rewrite,[status(thm)],[])).
% 25.81/17.54 tff(27339,plain,
% 25.81/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1))))),
% 25.81/17.54 inference(monotonicity,[status(thm)],[27338])).
% 25.81/17.54 tff(27340,plain,
% 25.81/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 25.81/17.55 inference(transitivity,[status(thm)],[27339, 27337])).
% 25.81/17.55 tff(27341,plain,
% 25.81/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 25.81/17.55 inference(quant_inst,[status(thm)],[])).
% 25.81/17.55 tff(27342,plain,
% 25.81/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1))),
% 25.81/17.55 inference(modus_ponens,[status(thm)],[27341, 27340])).
% 25.81/17.55 tff(27343,plain,
% 25.81/17.55 (v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1))),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27342, 913, 27290])).
% 25.81/17.55 tff(27344,plain,
% 25.81/17.55 (v90(constB182, bitIndex1) | (~v90(constB183, bitIndex1))),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27343, 27302])).
% 25.81/17.55 tff(27345,plain,
% 25.81/17.55 (~v90(constB183, bitIndex1)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27344, 27336])).
% 25.81/17.55 tff(27346,plain,
% 25.81/17.55 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB181)) | (~v130(constB181, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB181)) | (~v130(constB181, bitIndex0)))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27347,plain,
% 25.81/17.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB181)) | (~v130(constB181, bitIndex0)))),
% 25.81/17.55 inference(quant_inst,[status(thm)],[])).
% 25.81/17.55 tff(27348,plain,
% 25.81/17.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB181)) | (~v130(constB181, bitIndex0))),
% 25.81/17.55 inference(modus_ponens,[status(thm)],[27347, 27346])).
% 25.81/17.55 tff(27349,plain,
% 25.81/17.55 (~v130(constB181, bitIndex0)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27348, 2833, 27178])).
% 25.81/17.55 tff(27350,plain,
% 25.81/17.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB181, bitIndex0)) | v26(constB181) | v130(constB181, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB181, bitIndex0)) | v26(constB181) | v130(constB181, bitIndex0))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27351,plain,
% 25.81/17.55 ((v26(constB181) | v130(constB181, bitIndex0) | (~v127(constB181, bitIndex0))) <=> ((~v127(constB181, bitIndex0)) | v26(constB181) | v130(constB181, bitIndex0))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27352,plain,
% 25.81/17.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB181) | v130(constB181, bitIndex0) | (~v127(constB181, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB181, bitIndex0)) | v26(constB181) | v130(constB181, bitIndex0)))),
% 25.81/17.55 inference(monotonicity,[status(thm)],[27351])).
% 25.81/17.55 tff(27353,plain,
% 25.81/17.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB181) | v130(constB181, bitIndex0) | (~v127(constB181, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB181, bitIndex0)) | v26(constB181) | v130(constB181, bitIndex0))),
% 25.81/17.55 inference(transitivity,[status(thm)],[27352, 27350])).
% 25.81/17.55 tff(27354,plain,
% 25.81/17.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB181) | v130(constB181, bitIndex0) | (~v127(constB181, bitIndex0)))),
% 25.81/17.55 inference(quant_inst,[status(thm)],[])).
% 25.81/17.55 tff(27355,plain,
% 25.81/17.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB181, bitIndex0)) | v26(constB181) | v130(constB181, bitIndex0)),
% 25.81/17.55 inference(modus_ponens,[status(thm)],[27354, 27353])).
% 25.81/17.55 tff(27356,plain,
% 25.81/17.55 ((~v127(constB181, bitIndex0)) | v130(constB181, bitIndex0)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27355, 1341, 27210])).
% 25.81/17.55 tff(27357,plain,
% 25.81/17.55 (~v127(constB181, bitIndex0)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27356, 27349])).
% 25.81/17.55 tff(27358,plain,
% 25.81/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex0) | (~v129(constB182, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex0) | (~v129(constB182, bitIndex0)))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27359,plain,
% 25.81/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex0) | (~v129(constB182, bitIndex0)))),
% 25.81/17.55 inference(quant_inst,[status(thm)],[])).
% 25.81/17.55 tff(27360,plain,
% 25.81/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex0) | (~v129(constB182, bitIndex0))),
% 25.81/17.55 inference(modus_ponens,[status(thm)],[27359, 27358])).
% 25.81/17.55 tff(27361,plain,
% 25.81/17.55 (v127(constB181, bitIndex0) | (~v129(constB182, bitIndex0))),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27360, 1359, 27228])).
% 25.81/17.55 tff(27362,plain,
% 25.81/17.55 (~v129(constB182, bitIndex0)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27361, 27357])).
% 25.81/17.55 tff(27363,plain,
% 25.81/17.55 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | v129(constB182, bitIndex0) | (~v100(constB182)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB182, bitIndex0)) | v129(constB182, bitIndex0) | (~v100(constB182)))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27364,plain,
% 25.81/17.55 (((~v90(constB182, bitIndex0)) | (~v100(constB182)) | v129(constB182, bitIndex0)) <=> ((~v90(constB182, bitIndex0)) | v129(constB182, bitIndex0) | (~v100(constB182)))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27365,plain,
% 25.81/17.55 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | (~v100(constB182)) | v129(constB182, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | v129(constB182, bitIndex0) | (~v100(constB182))))),
% 25.81/17.55 inference(monotonicity,[status(thm)],[27364])).
% 25.81/17.55 tff(27366,plain,
% 25.81/17.55 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | (~v100(constB182)) | v129(constB182, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB182, bitIndex0)) | v129(constB182, bitIndex0) | (~v100(constB182)))),
% 25.81/17.55 inference(transitivity,[status(thm)],[27365, 27363])).
% 25.81/17.55 tff(27367,plain,
% 25.81/17.55 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | (~v100(constB182)) | v129(constB182, bitIndex0))),
% 25.81/17.55 inference(quant_inst,[status(thm)],[])).
% 25.81/17.55 tff(27368,plain,
% 25.81/17.55 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB182, bitIndex0)) | v129(constB182, bitIndex0) | (~v100(constB182))),
% 25.81/17.55 inference(modus_ponens,[status(thm)],[27367, 27366])).
% 25.81/17.55 tff(27369,plain,
% 25.81/17.55 ((~v90(constB182, bitIndex0)) | (~v100(constB182))),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27368, 1374, 27362])).
% 25.81/17.55 tff(27370,plain,
% 25.81/17.55 (~v90(constB182, bitIndex0)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27369, 27262])).
% 25.81/17.55 tff(27371,plain,
% 25.81/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex0)))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27372,plain,
% 25.81/17.55 (((~nextState(constB182, constB183)) | v90(constB182, bitIndex0) | v100(constB183) | (~v90(constB183, bitIndex0))) <=> (v90(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex0)))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27373,plain,
% 25.81/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex0) | v100(constB183) | (~v90(constB183, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex0))))),
% 25.81/17.55 inference(monotonicity,[status(thm)],[27372])).
% 25.81/17.55 tff(27374,plain,
% 25.81/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex0) | v100(constB183) | (~v90(constB183, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex0)))),
% 25.81/17.55 inference(transitivity,[status(thm)],[27373, 27371])).
% 25.81/17.55 tff(27375,plain,
% 25.81/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex0) | v100(constB183) | (~v90(constB183, bitIndex0)))),
% 25.81/17.55 inference(quant_inst,[status(thm)],[])).
% 25.81/17.55 tff(27376,plain,
% 25.81/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex0))),
% 25.81/17.55 inference(modus_ponens,[status(thm)],[27375, 27374])).
% 25.81/17.55 tff(27377,plain,
% 25.81/17.55 (v90(constB182, bitIndex0) | v100(constB183) | (~v90(constB183, bitIndex0))),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27376, 934, 27290])).
% 25.81/17.55 tff(27378,plain,
% 25.81/17.55 (v90(constB182, bitIndex0) | (~v90(constB183, bitIndex0))),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27377, 27302])).
% 25.81/17.55 tff(27379,plain,
% 25.81/17.55 (~v90(constB183, bitIndex0)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27378, 27370])).
% 25.81/17.55 tff(27380,plain,
% 25.81/17.55 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)) | v123(constB183))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)) | v123(constB183))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27381,plain,
% 25.81/17.55 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)) | v123(constB183))),
% 25.81/17.55 inference(quant_inst,[status(thm)],[])).
% 25.81/17.55 tff(27382,plain,
% 25.81/17.55 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)) | v123(constB183)),
% 25.81/17.55 inference(modus_ponens,[status(thm)],[27381, 27380])).
% 25.81/17.55 tff(27383,plain,
% 25.81/17.55 (v123(constB183)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27382, 1401, 27379, 27345, 27311])).
% 25.81/17.55 tff(27384,plain,
% 25.81/17.55 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB183)) | v115(constB183))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB183)) | v115(constB183))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27385,plain,
% 25.81/17.55 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB183)) | v115(constB183))),
% 25.81/17.55 inference(quant_inst,[status(thm)],[])).
% 25.81/17.55 tff(27386,plain,
% 25.81/17.55 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB183)) | v115(constB183)),
% 25.81/17.55 inference(modus_ponens,[status(thm)],[27385, 27384])).
% 25.81/17.55 tff(27387,plain,
% 25.81/17.55 (v115(constB183)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27386, 1412, 27383])).
% 25.81/17.55 tff(27388,plain,
% 25.81/17.55 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB183) | (~v115(constB183)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB183) | (~v115(constB183)))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27389,plain,
% 25.81/17.55 (((~v115(constB183)) | v114(constB183)) <=> (v114(constB183) | (~v115(constB183)))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27390,plain,
% 25.81/17.55 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB183)) | v114(constB183))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB183) | (~v115(constB183))))),
% 25.81/17.55 inference(monotonicity,[status(thm)],[27389])).
% 25.81/17.55 tff(27391,plain,
% 25.81/17.55 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB183)) | v114(constB183))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB183) | (~v115(constB183)))),
% 25.81/17.55 inference(transitivity,[status(thm)],[27390, 27388])).
% 25.81/17.55 tff(27392,plain,
% 25.81/17.55 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB183)) | v114(constB183))),
% 25.81/17.55 inference(quant_inst,[status(thm)],[])).
% 25.81/17.55 tff(27393,plain,
% 25.81/17.55 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB183) | (~v115(constB183))),
% 25.81/17.55 inference(modus_ponens,[status(thm)],[27392, 27391])).
% 25.81/17.55 tff(27394,plain,
% 25.81/17.55 (v114(constB183)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27393, 1022, 27387])).
% 25.81/17.55 tff(27395,plain,
% 25.81/17.55 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB183) | (~v114(constB183)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB183) | (~v114(constB183)))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27396,plain,
% 25.81/17.55 (((~v114(constB183)) | v113(constB183)) <=> (v113(constB183) | (~v114(constB183)))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27397,plain,
% 25.81/17.55 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB183)) | v113(constB183))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB183) | (~v114(constB183))))),
% 25.81/17.55 inference(monotonicity,[status(thm)],[27396])).
% 25.81/17.55 tff(27398,plain,
% 25.81/17.55 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB183)) | v113(constB183))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB183) | (~v114(constB183)))),
% 25.81/17.55 inference(transitivity,[status(thm)],[27397, 27395])).
% 25.81/17.55 tff(27399,plain,
% 25.81/17.55 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB183)) | v113(constB183))),
% 25.81/17.55 inference(quant_inst,[status(thm)],[])).
% 25.81/17.55 tff(27400,plain,
% 25.81/17.55 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB183) | (~v114(constB183))),
% 25.81/17.55 inference(modus_ponens,[status(thm)],[27399, 27398])).
% 25.81/17.55 tff(27401,plain,
% 25.81/17.55 (v113(constB183)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27400, 1036, 27394])).
% 25.81/17.55 tff(27402,assumption,(v26(constB183)), introduced(assumption)).
% 25.81/17.55 tff(27403,plain,
% 25.81/17.55 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB183))),
% 25.81/17.55 inference(quant_inst,[status(thm)],[])).
% 25.81/17.55 tff(27404,plain,
% 25.81/17.55 ($false),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27403, 797, 27402])).
% 25.81/17.55 tff(27405,plain,(~v26(constB183)), inference(lemma,lemma(discharge,[]))).
% 25.81/17.55 tff(27406,plain,
% 25.81/17.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | (~v113(constB183)) | v112(constB183))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB183) | (~v113(constB183)) | v112(constB183))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27407,plain,
% 25.81/17.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | (~v113(constB183)) | v112(constB183))),
% 25.81/17.55 inference(quant_inst,[status(thm)],[])).
% 25.81/17.55 tff(27408,plain,
% 25.81/17.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB183) | (~v113(constB183)) | v112(constB183)),
% 25.81/17.55 inference(modus_ponens,[status(thm)],[27407, 27406])).
% 25.81/17.55 tff(27409,plain,
% 25.81/17.55 ((~v113(constB183)) | v112(constB183)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27408, 1050, 27405])).
% 25.81/17.55 tff(27410,plain,
% 25.81/17.55 (v112(constB183)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27409, 27401])).
% 25.81/17.55 tff(27411,plain,
% 25.81/17.55 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB183) | (~v112(constB183)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v112(constB183)))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27412,plain,
% 25.81/17.55 (((~v112(constB183)) | v108(constB183)) <=> (v108(constB183) | (~v112(constB183)))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27413,plain,
% 25.81/17.55 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB183)) | v108(constB183))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB183) | (~v112(constB183))))),
% 25.81/17.55 inference(monotonicity,[status(thm)],[27412])).
% 25.81/17.55 tff(27414,plain,
% 25.81/17.55 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB183)) | v108(constB183))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v112(constB183)))),
% 25.81/17.55 inference(transitivity,[status(thm)],[27413, 27411])).
% 25.81/17.55 tff(27415,plain,
% 25.81/17.55 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB183)) | v108(constB183))),
% 25.81/17.55 inference(quant_inst,[status(thm)],[])).
% 25.81/17.55 tff(27416,plain,
% 25.81/17.55 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v112(constB183))),
% 25.81/17.55 inference(modus_ponens,[status(thm)],[27415, 27414])).
% 25.81/17.55 tff(27417,plain,
% 25.81/17.55 (v108(constB183)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27416, 1062, 27410])).
% 25.81/17.55 tff(27418,plain,
% 25.81/17.55 (nextState(constB183, constB184) <=> nextState(constB183, constB184)),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27419,axiom,(nextState(constB183, constB184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_183_1')).
% 25.81/17.55 tff(27420,plain,
% 25.81/17.55 (nextState(constB183, constB184)),
% 25.81/17.55 inference(modus_ponens,[status(thm)],[27419, 27418])).
% 25.81/17.55 tff(27421,plain,
% 25.81/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27422,plain,
% 25.81/17.55 (((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184)) <=> ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27423,plain,
% 25.81/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183))))),
% 25.81/17.55 inference(monotonicity,[status(thm)],[27422])).
% 25.81/17.55 tff(27424,plain,
% 25.81/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 25.81/17.55 inference(transitivity,[status(thm)],[27423, 27421])).
% 25.81/17.55 tff(27425,plain,
% 25.81/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))),
% 25.81/17.55 inference(quant_inst,[status(thm)],[])).
% 25.81/17.55 tff(27426,plain,
% 25.81/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183))),
% 25.81/17.55 inference(modus_ponens,[status(thm)],[27425, 27424])).
% 25.81/17.55 tff(27427,plain,
% 25.81/17.55 (v110(constB184) | (~v108(constB183))),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27426, 1082, 27420])).
% 25.81/17.55 tff(27428,plain,
% 25.81/17.55 (v110(constB184)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27427, 27417])).
% 25.81/17.55 tff(27429,plain,
% 25.81/17.55 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27430,plain,
% 25.81/17.55 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))),
% 25.81/17.55 inference(quant_inst,[status(thm)],[])).
% 25.81/17.55 tff(27431,plain,
% 25.81/17.55 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184))),
% 25.81/17.55 inference(modus_ponens,[status(thm)],[27430, 27429])).
% 25.81/17.55 tff(27432,plain,
% 25.81/17.55 (~v104(constB184)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27431, 1100, 27420, 27287])).
% 25.81/17.55 tff(27433,plain,
% 25.81/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27434,plain,
% 25.81/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))),
% 25.81/17.55 inference(quant_inst,[status(thm)],[])).
% 25.81/17.55 tff(27435,plain,
% 25.81/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB183, constB184)) | v102(constB184) | v104(constB184)),
% 25.81/17.55 inference(modus_ponens,[status(thm)],[27434, 27433])).
% 25.81/17.55 tff(27436,plain,
% 25.81/17.55 (v102(constB184) | v104(constB184)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27435, 1114, 27420])).
% 25.81/17.55 tff(27437,plain,
% 25.81/17.55 (v102(constB184)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27436, 27432])).
% 25.81/17.55 tff(27438,plain,
% 25.81/17.55 (v1(constB184) <=> v1(constB184)),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27439,axiom,(v1(constB184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_184_1')).
% 25.81/17.55 tff(27440,plain,
% 25.81/17.55 (v1(constB184)),
% 25.81/17.55 inference(modus_ponens,[status(thm)],[27439, 27438])).
% 25.81/17.55 tff(27441,plain,
% 25.81/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27442,plain,
% 25.81/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))),
% 25.81/17.55 inference(quant_inst,[status(thm)],[])).
% 25.81/17.55 tff(27443,plain,
% 25.81/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184))),
% 25.81/17.55 inference(modus_ponens,[status(thm)],[27442, 27441])).
% 25.81/17.55 tff(27444,plain,
% 25.81/17.55 (v101(constB184) | (~v102(constB184))),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27443, 1129, 27420, 27440])).
% 25.81/17.55 tff(27445,plain,
% 25.81/17.55 (v101(constB184)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27444, 27437])).
% 25.81/17.55 tff(27446,plain,
% 25.81/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27447,plain,
% 25.81/17.55 (((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184)) <=> ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27448,plain,
% 25.81/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184))))),
% 25.81/17.55 inference(monotonicity,[status(thm)],[27447])).
% 25.81/17.55 tff(27449,plain,
% 25.81/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 25.81/17.55 inference(transitivity,[status(thm)],[27448, 27446])).
% 25.81/17.55 tff(27450,plain,
% 25.81/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))),
% 25.81/17.55 inference(quant_inst,[status(thm)],[])).
% 25.81/17.55 tff(27451,plain,
% 25.81/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184))),
% 25.81/17.55 inference(modus_ponens,[status(thm)],[27450, 27449])).
% 25.81/17.55 tff(27452,plain,
% 25.81/17.55 (v100(constB184) | (~v101(constB184)) | (~v110(constB184))),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27451, 1144, 27420])).
% 25.81/17.55 tff(27453,plain,
% 25.81/17.55 (v100(constB184) | (~v110(constB184))),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27452, 27445])).
% 25.81/17.55 tff(27454,plain,
% 25.81/17.55 (v100(constB184)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27453, 27428])).
% 25.81/17.55 tff(27455,plain,
% 25.81/17.55 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB183)) | v130(constB183, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB183)) | v130(constB183, bitIndex2))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27456,plain,
% 25.81/17.55 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB183)) | v130(constB183, bitIndex2))),
% 25.81/17.55 inference(quant_inst,[status(thm)],[])).
% 25.81/17.55 tff(27457,plain,
% 25.81/17.55 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB183)) | v130(constB183, bitIndex2)),
% 25.81/17.55 inference(modus_ponens,[status(thm)],[27456, 27455])).
% 25.81/17.55 tff(27458,plain,
% 25.81/17.55 (v130(constB183, bitIndex2)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27457, 1483, 27383])).
% 25.81/17.55 tff(27459,plain,
% 25.81/17.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB183) | (~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB183) | (~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27460,plain,
% 25.81/17.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB183) | (~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2))),
% 25.81/17.55 inference(quant_inst,[status(thm)],[])).
% 25.81/17.55 tff(27461,plain,
% 25.81/17.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB183) | (~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2)),
% 25.81/17.55 inference(modus_ponens,[status(thm)],[27460, 27459])).
% 25.81/17.55 tff(27462,plain,
% 25.81/17.55 ((~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27461, 1174, 27405])).
% 25.81/17.55 tff(27463,plain,
% 25.81/17.55 (v127(constB183, bitIndex2)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27462, 27458])).
% 25.81/17.55 tff(27464,plain,
% 25.81/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27465,plain,
% 25.81/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2))),
% 25.81/17.55 inference(quant_inst,[status(thm)],[])).
% 25.81/17.55 tff(27466,plain,
% 25.81/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2)),
% 25.81/17.55 inference(modus_ponens,[status(thm)],[27465, 27464])).
% 25.81/17.55 tff(27467,plain,
% 25.81/17.55 ((~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27466, 1189, 27420])).
% 25.81/17.55 tff(27468,plain,
% 25.81/17.55 (v129(constB184, bitIndex2)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27467, 27463])).
% 25.81/17.55 tff(27469,plain,
% 25.81/17.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184)))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27470,plain,
% 25.81/17.55 ((v90(constB184, bitIndex2) | (~v100(constB184)) | (~v129(constB184, bitIndex2))) <=> (v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184)))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27471,plain,
% 25.81/17.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~v100(constB184)) | (~v129(constB184, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184))))),
% 25.81/17.55 inference(monotonicity,[status(thm)],[27470])).
% 25.81/17.55 tff(27472,plain,
% 25.81/17.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~v100(constB184)) | (~v129(constB184, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184)))),
% 25.81/17.55 inference(transitivity,[status(thm)],[27471, 27469])).
% 25.81/17.55 tff(27473,plain,
% 25.81/17.55 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~v100(constB184)) | (~v129(constB184, bitIndex2)))),
% 25.81/17.55 inference(quant_inst,[status(thm)],[])).
% 25.81/17.55 tff(27474,plain,
% 25.81/17.55 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184))),
% 25.81/17.55 inference(modus_ponens,[status(thm)],[27473, 27472])).
% 25.81/17.55 tff(27475,plain,
% 25.81/17.55 (v90(constB184, bitIndex2) | (~v100(constB184))),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27474, 1204, 27468])).
% 25.81/17.55 tff(27476,plain,
% 25.81/17.55 (v90(constB184, bitIndex2)),
% 25.81/17.55 inference(unit_resolution,[status(thm)],[27475, 27454])).
% 25.81/17.55 tff(27477,plain,
% 25.81/17.55 ((~v1(constB185)) <=> (~v1(constB185))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27478,axiom,(~v1(constB185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_185_1_1')).
% 25.81/17.55 tff(27479,plain,
% 25.81/17.55 (~v1(constB185)),
% 25.81/17.55 inference(modus_ponens,[status(thm)],[27478, 27477])).
% 25.81/17.55 tff(27480,plain,
% 25.81/17.55 (nextState(constB184, constB185) <=> nextState(constB184, constB185)),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27481,axiom,(nextState(constB184, constB185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_184_1')).
% 25.81/17.55 tff(27482,plain,
% 25.81/17.55 (nextState(constB184, constB185)),
% 25.81/17.55 inference(modus_ponens,[status(thm)],[27481, 27480])).
% 25.81/17.55 tff(27483,plain,
% 25.81/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27484,plain,
% 25.81/17.55 (((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185)) <=> (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 25.81/17.55 inference(rewrite,[status(thm)],[])).
% 25.81/17.55 tff(27485,plain,
% 25.81/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185))))),
% 25.81/17.56 inference(monotonicity,[status(thm)],[27484])).
% 25.81/17.56 tff(27486,plain,
% 25.81/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 25.81/17.56 inference(transitivity,[status(thm)],[27485, 27483])).
% 25.81/17.56 tff(27487,plain,
% 25.81/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))),
% 25.81/17.56 inference(quant_inst,[status(thm)],[])).
% 25.81/17.56 tff(27488,plain,
% 25.81/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185))),
% 25.81/17.56 inference(modus_ponens,[status(thm)],[27487, 27486])).
% 25.81/17.56 tff(27489,plain,
% 25.81/17.56 (~v101(constB185)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27488, 860, 27482, 27479])).
% 25.81/17.56 tff(27490,plain,
% 25.81/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27491,plain,
% 25.81/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))),
% 25.81/17.56 inference(quant_inst,[status(thm)],[])).
% 25.81/17.56 tff(27492,plain,
% 25.81/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185))),
% 25.81/17.56 inference(modus_ponens,[status(thm)],[27491, 27490])).
% 25.81/17.56 tff(27493,plain,
% 25.81/17.56 (v101(constB185) | (~v100(constB185))),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27492, 877, 27482])).
% 25.81/17.56 tff(27494,plain,
% 25.81/17.56 (~v100(constB185)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27493, 27489])).
% 25.81/17.56 tff(27495,plain,
% 25.81/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27496,plain,
% 25.81/17.56 (((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex2)) | v100(constB185) | v90(constB185, bitIndex2)) <=> ((~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27497,plain,
% 25.81/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex2)) | v100(constB185) | v90(constB185, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2)))),
% 25.81/17.56 inference(monotonicity,[status(thm)],[27496])).
% 25.81/17.56 tff(27498,plain,
% 25.81/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex2)) | v100(constB185) | v90(constB185, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2))),
% 25.81/17.56 inference(transitivity,[status(thm)],[27497, 27495])).
% 25.81/17.56 tff(27499,plain,
% 25.81/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex2)) | v100(constB185) | v90(constB185, bitIndex2))),
% 25.81/17.56 inference(quant_inst,[status(thm)],[])).
% 25.81/17.56 tff(27500,plain,
% 25.81/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2)),
% 25.81/17.56 inference(modus_ponens,[status(thm)],[27499, 27498])).
% 25.81/17.56 tff(27501,plain,
% 25.81/17.56 ((~v90(constB184, bitIndex2)) | v100(constB185) | v90(constB185, bitIndex2)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27500, 1240, 27482])).
% 25.81/17.56 tff(27502,plain,
% 25.81/17.56 ((~v90(constB184, bitIndex2)) | v90(constB185, bitIndex2)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27501, 27494])).
% 25.81/17.56 tff(27503,plain,
% 25.81/17.56 (v90(constB185, bitIndex2)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27502, 27476])).
% 25.81/17.56 tff(27504,plain,
% 25.81/17.56 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB183)) | v130(constB183, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB183)) | v130(constB183, bitIndex1))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27505,plain,
% 25.81/17.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB183)) | v130(constB183, bitIndex1))),
% 25.81/17.56 inference(quant_inst,[status(thm)],[])).
% 25.81/17.56 tff(27506,plain,
% 25.81/17.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB183)) | v130(constB183, bitIndex1)),
% 25.81/17.56 inference(modus_ponens,[status(thm)],[27505, 27504])).
% 25.81/17.56 tff(27507,plain,
% 25.81/17.56 (v130(constB183, bitIndex1)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27506, 1539, 27383])).
% 25.81/17.56 tff(27508,plain,
% 25.81/17.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27509,plain,
% 25.81/17.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1))),
% 25.81/17.56 inference(quant_inst,[status(thm)],[])).
% 25.81/17.56 tff(27510,plain,
% 25.81/17.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1)),
% 25.81/17.56 inference(modus_ponens,[status(thm)],[27509, 27508])).
% 25.81/17.56 tff(27511,plain,
% 25.81/17.56 ((~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27510, 1553, 27405])).
% 25.81/17.56 tff(27512,plain,
% 25.81/17.56 (v127(constB183, bitIndex1)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27511, 27507])).
% 25.81/17.56 tff(27513,plain,
% 25.81/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27514,plain,
% 25.81/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1))),
% 25.81/17.56 inference(quant_inst,[status(thm)],[])).
% 25.81/17.56 tff(27515,plain,
% 25.81/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1)),
% 25.81/17.56 inference(modus_ponens,[status(thm)],[27514, 27513])).
% 25.81/17.56 tff(27516,plain,
% 25.81/17.56 ((~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27515, 1568, 27420])).
% 25.81/17.56 tff(27517,plain,
% 25.81/17.56 (v129(constB184, bitIndex1)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27516, 27512])).
% 25.81/17.56 tff(27518,plain,
% 25.81/17.56 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27519,plain,
% 25.81/17.56 ((v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1))) <=> (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27520,plain,
% 25.81/17.56 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184))))),
% 25.81/17.56 inference(monotonicity,[status(thm)],[27519])).
% 25.81/17.56 tff(27521,plain,
% 25.81/17.56 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))),
% 25.81/17.56 inference(transitivity,[status(thm)],[27520, 27518])).
% 25.81/17.56 tff(27522,plain,
% 25.81/17.56 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1)))),
% 25.81/17.56 inference(quant_inst,[status(thm)],[])).
% 25.81/17.56 tff(27523,plain,
% 25.81/17.56 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184))),
% 25.81/17.56 inference(modus_ponens,[status(thm)],[27522, 27521])).
% 25.81/17.56 tff(27524,plain,
% 25.81/17.56 (v90(constB184, bitIndex1) | (~v100(constB184))),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27523, 1583, 27517])).
% 25.81/17.56 tff(27525,plain,
% 25.81/17.56 (v90(constB184, bitIndex1)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27524, 27454])).
% 25.81/17.56 tff(27526,plain,
% 25.81/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27527,plain,
% 25.81/17.56 (((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1)) <=> ((~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27528,plain,
% 25.81/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1)))),
% 25.81/17.56 inference(monotonicity,[status(thm)],[27527])).
% 25.81/17.56 tff(27529,plain,
% 25.81/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))),
% 25.81/17.56 inference(transitivity,[status(thm)],[27528, 27526])).
% 25.81/17.56 tff(27530,plain,
% 25.81/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1))),
% 25.81/17.56 inference(quant_inst,[status(thm)],[])).
% 25.81/17.56 tff(27531,plain,
% 25.81/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1)),
% 25.81/17.56 inference(modus_ponens,[status(thm)],[27530, 27529])).
% 25.81/17.56 tff(27532,plain,
% 25.81/17.56 ((~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27531, 1601, 27482])).
% 25.81/17.56 tff(27533,plain,
% 25.81/17.56 ((~v90(constB184, bitIndex1)) | v90(constB185, bitIndex1)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27532, 27494])).
% 25.81/17.56 tff(27534,plain,
% 25.81/17.56 (v90(constB185, bitIndex1)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27533, 27525])).
% 25.81/17.56 tff(27535,plain,
% 25.81/17.56 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB183)) | (~v130(constB183, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB183)) | (~v130(constB183, bitIndex0)))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27536,plain,
% 25.81/17.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB183)) | (~v130(constB183, bitIndex0)))),
% 25.81/17.56 inference(quant_inst,[status(thm)],[])).
% 25.81/17.56 tff(27537,plain,
% 25.81/17.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB183)) | (~v130(constB183, bitIndex0))),
% 25.81/17.56 inference(modus_ponens,[status(thm)],[27536, 27535])).
% 25.81/17.56 tff(27538,plain,
% 25.81/17.56 (~v130(constB183, bitIndex0)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27537, 1617, 27383])).
% 25.81/17.56 tff(27539,plain,
% 25.81/17.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27540,plain,
% 25.81/17.56 ((v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0))) <=> ((~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27541,plain,
% 25.81/17.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0)))),
% 25.81/17.56 inference(monotonicity,[status(thm)],[27540])).
% 25.81/17.56 tff(27542,plain,
% 25.81/17.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))),
% 25.81/17.56 inference(transitivity,[status(thm)],[27541, 27539])).
% 25.81/17.56 tff(27543,plain,
% 25.81/17.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0)))),
% 25.81/17.56 inference(quant_inst,[status(thm)],[])).
% 25.81/17.56 tff(27544,plain,
% 25.81/17.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0)),
% 25.81/17.56 inference(modus_ponens,[status(thm)],[27543, 27542])).
% 25.81/17.56 tff(27545,plain,
% 25.81/17.56 ((~v127(constB183, bitIndex0)) | v130(constB183, bitIndex0)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27544, 1341, 27405])).
% 25.81/17.56 tff(27546,plain,
% 25.81/17.56 (~v127(constB183, bitIndex0)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27545, 27538])).
% 25.81/17.56 tff(27547,plain,
% 25.81/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0)))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27548,plain,
% 25.81/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0)))),
% 25.81/17.56 inference(quant_inst,[status(thm)],[])).
% 25.81/17.56 tff(27549,plain,
% 25.81/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0))),
% 25.81/17.56 inference(modus_ponens,[status(thm)],[27548, 27547])).
% 25.81/17.56 tff(27550,plain,
% 25.81/17.56 (v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0))),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27549, 1359, 27420])).
% 25.81/17.56 tff(27551,plain,
% 25.81/17.56 (~v129(constB184, bitIndex0)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27550, 27546])).
% 25.81/17.56 tff(27552,plain,
% 25.81/17.56 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27553,plain,
% 25.81/17.56 (((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0)) <=> ((~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27554,plain,
% 25.81/17.56 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184))))),
% 25.81/17.56 inference(monotonicity,[status(thm)],[27553])).
% 25.81/17.56 tff(27555,plain,
% 25.81/17.56 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))),
% 25.81/17.56 inference(transitivity,[status(thm)],[27554, 27552])).
% 25.81/17.56 tff(27556,plain,
% 25.81/17.56 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0))),
% 25.81/17.56 inference(quant_inst,[status(thm)],[])).
% 25.81/17.56 tff(27557,plain,
% 25.81/17.56 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184))),
% 25.81/17.56 inference(modus_ponens,[status(thm)],[27556, 27555])).
% 25.81/17.56 tff(27558,plain,
% 25.81/17.56 ((~v90(constB184, bitIndex0)) | (~v100(constB184))),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27557, 1374, 27551])).
% 25.81/17.56 tff(27559,plain,
% 25.81/17.56 (~v90(constB184, bitIndex0)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27558, 27454])).
% 25.81/17.56 tff(27560,plain,
% 25.81/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27561,plain,
% 25.81/17.56 (((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0))) <=> (v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27562,plain,
% 25.81/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0))))),
% 25.81/17.56 inference(monotonicity,[status(thm)],[27561])).
% 25.81/17.56 tff(27563,plain,
% 25.81/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 25.81/17.56 inference(transitivity,[status(thm)],[27562, 27560])).
% 25.81/17.56 tff(27564,plain,
% 25.81/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 25.81/17.56 inference(quant_inst,[status(thm)],[])).
% 25.81/17.56 tff(27565,plain,
% 25.81/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0))),
% 25.81/17.56 inference(modus_ponens,[status(thm)],[27564, 27563])).
% 25.81/17.56 tff(27566,plain,
% 25.81/17.56 (v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0))),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27565, 934, 27482])).
% 25.81/17.56 tff(27567,plain,
% 25.81/17.56 (v90(constB184, bitIndex0) | (~v90(constB185, bitIndex0))),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27566, 27494])).
% 25.81/17.56 tff(27568,plain,
% 25.81/17.56 (~v90(constB185, bitIndex0)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27567, 27559])).
% 25.81/17.56 tff(27569,plain,
% 25.81/17.56 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)) | v125(constB185))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)) | v125(constB185))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27570,plain,
% 25.81/17.56 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)) | v125(constB185))),
% 25.81/17.56 inference(quant_inst,[status(thm)],[])).
% 25.81/17.56 tff(27571,plain,
% 25.81/17.56 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)) | v125(constB185)),
% 25.81/17.56 inference(modus_ponens,[status(thm)],[27570, 27569])).
% 25.81/17.56 tff(27572,plain,
% 25.81/17.56 (v125(constB185)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27571, 1661, 27568, 27534, 27503])).
% 25.81/17.56 tff(27573,plain,
% 25.81/17.56 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB185)) | v113(constB185))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB185)) | v113(constB185))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27574,plain,
% 25.81/17.56 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB185)) | v113(constB185))),
% 25.81/17.56 inference(quant_inst,[status(thm)],[])).
% 25.81/17.56 tff(27575,plain,
% 25.81/17.56 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB185)) | v113(constB185)),
% 25.81/17.56 inference(modus_ponens,[status(thm)],[27574, 27573])).
% 25.81/17.56 tff(27576,plain,
% 25.81/17.56 (v113(constB185)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27575, 1672, 27572])).
% 25.81/17.56 tff(27577,assumption,(v26(constB185)), introduced(assumption)).
% 25.81/17.56 tff(27578,plain,
% 25.81/17.56 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB185))),
% 25.81/17.56 inference(quant_inst,[status(thm)],[])).
% 25.81/17.56 tff(27579,plain,
% 25.81/17.56 ($false),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27578, 797, 27577])).
% 25.81/17.56 tff(27580,plain,(~v26(constB185)), inference(lemma,lemma(discharge,[]))).
% 25.81/17.56 tff(27581,plain,
% 25.81/17.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | (~v113(constB185)) | v112(constB185))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27582,plain,
% 25.81/17.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))),
% 25.81/17.56 inference(quant_inst,[status(thm)],[])).
% 25.81/17.56 tff(27583,plain,
% 25.81/17.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | (~v113(constB185)) | v112(constB185)),
% 25.81/17.56 inference(modus_ponens,[status(thm)],[27582, 27581])).
% 25.81/17.56 tff(27584,plain,
% 25.81/17.56 ((~v113(constB185)) | v112(constB185)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27583, 1050, 27580])).
% 25.81/17.56 tff(27585,plain,
% 25.81/17.56 (v112(constB185)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27584, 27576])).
% 25.81/17.56 tff(27586,plain,
% 25.81/17.56 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB185) | (~v112(constB185)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB185) | (~v112(constB185)))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27587,plain,
% 25.81/17.56 (((~v112(constB185)) | v108(constB185)) <=> (v108(constB185) | (~v112(constB185)))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27588,plain,
% 25.81/17.56 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB185)) | v108(constB185))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB185) | (~v112(constB185))))),
% 25.81/17.56 inference(monotonicity,[status(thm)],[27587])).
% 25.81/17.56 tff(27589,plain,
% 25.81/17.56 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB185)) | v108(constB185))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB185) | (~v112(constB185)))),
% 25.81/17.56 inference(transitivity,[status(thm)],[27588, 27586])).
% 25.81/17.56 tff(27590,plain,
% 25.81/17.56 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB185)) | v108(constB185))),
% 25.81/17.56 inference(quant_inst,[status(thm)],[])).
% 25.81/17.56 tff(27591,plain,
% 25.81/17.56 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB185) | (~v112(constB185))),
% 25.81/17.56 inference(modus_ponens,[status(thm)],[27590, 27589])).
% 25.81/17.56 tff(27592,plain,
% 25.81/17.56 (v108(constB185)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27591, 1062, 27585])).
% 25.81/17.56 tff(27593,plain,
% 25.81/17.56 (nextState(constB185, constB186) <=> nextState(constB185, constB186)),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27594,axiom,(nextState(constB185, constB186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_185_1')).
% 25.81/17.56 tff(27595,plain,
% 25.81/17.56 (nextState(constB185, constB186)),
% 25.81/17.56 inference(modus_ponens,[status(thm)],[27594, 27593])).
% 25.81/17.56 tff(27596,plain,
% 25.81/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27597,plain,
% 25.81/17.56 (((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186)) <=> ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27598,plain,
% 25.81/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185))))),
% 25.81/17.56 inference(monotonicity,[status(thm)],[27597])).
% 25.81/17.56 tff(27599,plain,
% 25.81/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 25.81/17.56 inference(transitivity,[status(thm)],[27598, 27596])).
% 25.81/17.56 tff(27600,plain,
% 25.81/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))),
% 25.81/17.56 inference(quant_inst,[status(thm)],[])).
% 25.81/17.56 tff(27601,plain,
% 25.81/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185))),
% 25.81/17.56 inference(modus_ponens,[status(thm)],[27600, 27599])).
% 25.81/17.56 tff(27602,plain,
% 25.81/17.56 (v110(constB186) | (~v108(constB185))),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27601, 1082, 27595])).
% 25.81/17.56 tff(27603,plain,
% 25.81/17.56 (v110(constB186)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27602, 27592])).
% 25.81/17.56 tff(27604,plain,
% 25.81/17.56 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27605,plain,
% 25.81/17.56 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))),
% 25.81/17.56 inference(quant_inst,[status(thm)],[])).
% 25.81/17.56 tff(27606,plain,
% 25.81/17.56 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186))),
% 25.81/17.56 inference(modus_ponens,[status(thm)],[27605, 27604])).
% 25.81/17.56 tff(27607,plain,
% 25.81/17.56 (~v104(constB186)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27606, 1100, 27595, 27479])).
% 25.81/17.56 tff(27608,plain,
% 25.81/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27609,plain,
% 25.81/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))),
% 25.81/17.56 inference(quant_inst,[status(thm)],[])).
% 25.81/17.56 tff(27610,plain,
% 25.81/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB185, constB186)) | v102(constB186) | v104(constB186)),
% 25.81/17.56 inference(modus_ponens,[status(thm)],[27609, 27608])).
% 25.81/17.56 tff(27611,plain,
% 25.81/17.56 (v102(constB186) | v104(constB186)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27610, 1114, 27595])).
% 25.81/17.56 tff(27612,plain,
% 25.81/17.56 (v102(constB186)),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27611, 27607])).
% 25.81/17.56 tff(27613,plain,
% 25.81/17.56 (v1(constB186) <=> v1(constB186)),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27614,axiom,(v1(constB186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_186_1')).
% 25.81/17.56 tff(27615,plain,
% 25.81/17.56 (v1(constB186)),
% 25.81/17.56 inference(modus_ponens,[status(thm)],[27614, 27613])).
% 25.81/17.56 tff(27616,plain,
% 25.81/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))),
% 25.81/17.56 inference(rewrite,[status(thm)],[])).
% 25.81/17.56 tff(27617,plain,
% 25.81/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))),
% 25.81/17.56 inference(quant_inst,[status(thm)],[])).
% 25.81/17.56 tff(27618,plain,
% 25.81/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186))),
% 25.81/17.56 inference(modus_ponens,[status(thm)],[27617, 27616])).
% 25.81/17.56 tff(27619,plain,
% 25.81/17.56 (v101(constB186) | (~v102(constB186))),
% 25.81/17.56 inference(unit_resolution,[status(thm)],[27618, 1129, 27595, 27615])).
% 25.81/17.56 tff(27620,plain,
% 25.81/17.56 (v101(constB186)),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27619, 27612])).
% 25.81/17.57 tff(27621,plain,
% 25.81/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27622,plain,
% 25.81/17.57 (((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186)) <=> ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27623,plain,
% 25.81/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186))))),
% 25.81/17.57 inference(monotonicity,[status(thm)],[27622])).
% 25.81/17.57 tff(27624,plain,
% 25.81/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 25.81/17.57 inference(transitivity,[status(thm)],[27623, 27621])).
% 25.81/17.57 tff(27625,plain,
% 25.81/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))),
% 25.81/17.57 inference(quant_inst,[status(thm)],[])).
% 25.81/17.57 tff(27626,plain,
% 25.81/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186))),
% 25.81/17.57 inference(modus_ponens,[status(thm)],[27625, 27624])).
% 25.81/17.57 tff(27627,plain,
% 25.81/17.57 (v100(constB186) | (~v101(constB186)) | (~v110(constB186))),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27626, 1144, 27595])).
% 25.81/17.57 tff(27628,plain,
% 25.81/17.57 (v100(constB186) | (~v110(constB186))),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27627, 27620])).
% 25.81/17.57 tff(27629,plain,
% 25.81/17.57 (v100(constB186)),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27628, 27603])).
% 25.81/17.57 tff(27630,plain,
% 25.81/17.57 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB185)) | (~v90(constB185, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB185)) | (~v90(constB185, bitIndex2)))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27631,plain,
% 25.81/17.57 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB185)) | (~v90(constB185, bitIndex2)))),
% 25.81/17.57 inference(quant_inst,[status(thm)],[])).
% 25.81/17.57 tff(27632,plain,
% 25.81/17.57 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB185)) | (~v90(constB185, bitIndex2))),
% 25.81/17.57 inference(modus_ponens,[status(thm)],[27631, 27630])).
% 25.81/17.57 tff(27633,plain,
% 25.81/17.57 (~v121(constB185)),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27632, 1729, 27503])).
% 25.81/17.57 tff(27634,plain,
% 25.81/17.57 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB185)) | (~v90(constB185, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB185)) | (~v90(constB185, bitIndex2)))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27635,plain,
% 25.81/17.57 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB185)) | (~v90(constB185, bitIndex2)))),
% 25.81/17.57 inference(quant_inst,[status(thm)],[])).
% 25.81/17.57 tff(27636,plain,
% 25.81/17.57 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB185)) | (~v90(constB185, bitIndex2))),
% 25.81/17.57 inference(modus_ponens,[status(thm)],[27635, 27634])).
% 25.81/17.57 tff(27637,plain,
% 25.81/17.57 (~v122(constB185)),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27636, 1740, 27503])).
% 25.81/17.57 tff(27638,plain,
% 25.81/17.57 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB185)) | (~v90(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB185)) | (~v90(constB185, bitIndex1)))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27639,plain,
% 25.81/17.57 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB185)) | (~v90(constB185, bitIndex1)))),
% 25.81/17.57 inference(quant_inst,[status(thm)],[])).
% 25.81/17.57 tff(27640,plain,
% 25.81/17.57 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB185)) | (~v90(constB185, bitIndex1))),
% 25.81/17.57 inference(modus_ponens,[status(thm)],[27639, 27638])).
% 25.81/17.57 tff(27641,plain,
% 25.81/17.57 (~v119(constB185)),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27640, 1751, 27534])).
% 25.81/17.57 tff(27642,plain,
% 25.81/17.57 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB185)) | (~v90(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB185)) | (~v90(constB185, bitIndex1)))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27643,plain,
% 25.81/17.57 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB185)) | (~v90(constB185, bitIndex1)))),
% 25.81/17.57 inference(quant_inst,[status(thm)],[])).
% 25.81/17.57 tff(27644,plain,
% 25.81/17.57 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB185)) | (~v90(constB185, bitIndex1))),
% 25.81/17.57 inference(modus_ponens,[status(thm)],[27643, 27642])).
% 25.81/17.57 tff(27645,plain,
% 25.81/17.57 (~v120(constB185)),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27644, 1762, 27534])).
% 25.81/17.57 tff(27646,plain,
% 25.81/17.57 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB185)) | (~v90(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB185)) | (~v90(constB185, bitIndex1)))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27647,plain,
% 25.81/17.57 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB185)) | (~v90(constB185, bitIndex1)))),
% 25.81/17.57 inference(quant_inst,[status(thm)],[])).
% 25.81/17.57 tff(27648,plain,
% 25.81/17.57 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB185)) | (~v90(constB185, bitIndex1))),
% 25.81/17.57 inference(modus_ponens,[status(thm)],[27647, 27646])).
% 25.81/17.57 tff(27649,plain,
% 25.81/17.57 (~v124(constB185)),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27648, 1784, 27534])).
% 25.81/17.57 tff(27650,plain,
% 25.81/17.57 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB185)) | (~v90(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB185)) | (~v90(constB185, bitIndex1)))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27651,plain,
% 25.81/17.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB185)) | (~v90(constB185, bitIndex1)))),
% 25.81/17.57 inference(quant_inst,[status(thm)],[])).
% 25.81/17.57 tff(27652,plain,
% 25.81/17.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB185)) | (~v90(constB185, bitIndex1))),
% 25.81/17.57 inference(modus_ponens,[status(thm)],[27651, 27650])).
% 25.81/17.57 tff(27653,plain,
% 25.81/17.57 (~v123(constB185)),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27652, 1773, 27534])).
% 25.81/17.57 tff(27654,plain,
% 25.81/17.57 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex2)))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27655,plain,
% 25.81/17.57 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex2)))),
% 25.81/17.57 inference(quant_inst,[status(thm)],[])).
% 25.81/17.57 tff(27656,plain,
% 25.81/17.57 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex2))),
% 25.81/17.57 inference(modus_ponens,[status(thm)],[27655, 27654])).
% 25.81/17.57 tff(27657,plain,
% 25.81/17.57 (~v130(constB185, bitIndex2)),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27656, 1798, 27653, 27649, 27645, 27641, 27637, 27633])).
% 25.81/17.57 tff(27658,plain,
% 25.81/17.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27659,plain,
% 25.81/17.57 ((v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2))) <=> ((~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27660,plain,
% 25.81/17.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2)))),
% 25.81/17.57 inference(monotonicity,[status(thm)],[27659])).
% 25.81/17.57 tff(27661,plain,
% 25.81/17.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))),
% 25.81/17.57 inference(transitivity,[status(thm)],[27660, 27658])).
% 25.81/17.57 tff(27662,plain,
% 25.81/17.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2)))),
% 25.81/17.57 inference(quant_inst,[status(thm)],[])).
% 25.81/17.57 tff(27663,plain,
% 25.81/17.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2)),
% 25.81/17.57 inference(modus_ponens,[status(thm)],[27662, 27661])).
% 25.81/17.57 tff(27664,plain,
% 25.81/17.57 ((~v127(constB185, bitIndex2)) | v130(constB185, bitIndex2)),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27663, 1812, 27580])).
% 25.81/17.57 tff(27665,plain,
% 25.81/17.57 (~v127(constB185, bitIndex2)),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27664, 27657])).
% 25.81/17.57 tff(27666,plain,
% 25.81/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2)))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27667,plain,
% 25.81/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2)))),
% 25.81/17.57 inference(quant_inst,[status(thm)],[])).
% 25.81/17.57 tff(27668,plain,
% 25.81/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2))),
% 25.81/17.57 inference(modus_ponens,[status(thm)],[27667, 27666])).
% 25.81/17.57 tff(27669,plain,
% 25.81/17.57 (v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2))),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27668, 1830, 27595])).
% 25.81/17.57 tff(27670,plain,
% 25.81/17.57 (~v129(constB186, bitIndex2)),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27669, 27665])).
% 25.81/17.57 tff(27671,plain,
% 25.81/17.57 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27672,plain,
% 25.81/17.57 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))),
% 25.81/17.57 inference(quant_inst,[status(thm)],[])).
% 25.81/17.57 tff(27673,plain,
% 25.81/17.57 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186))),
% 25.81/17.57 inference(modus_ponens,[status(thm)],[27672, 27671])).
% 25.81/17.57 tff(27674,plain,
% 25.81/17.57 ((~v90(constB186, bitIndex2)) | (~v100(constB186))),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27673, 1845, 27670])).
% 25.81/17.57 tff(27675,plain,
% 25.81/17.57 (~v90(constB186, bitIndex2)),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27674, 27629])).
% 25.81/17.57 tff(27676,plain,
% 25.81/17.57 ((~v1(constB187)) <=> (~v1(constB187))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27677,axiom,(~v1(constB187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_187_1_1')).
% 25.81/17.57 tff(27678,plain,
% 25.81/17.57 (~v1(constB187)),
% 25.81/17.57 inference(modus_ponens,[status(thm)],[27677, 27676])).
% 25.81/17.57 tff(27679,plain,
% 25.81/17.57 (nextState(constB186, constB187) <=> nextState(constB186, constB187)),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27680,axiom,(nextState(constB186, constB187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_186_1')).
% 25.81/17.57 tff(27681,plain,
% 25.81/17.57 (nextState(constB186, constB187)),
% 25.81/17.57 inference(modus_ponens,[status(thm)],[27680, 27679])).
% 25.81/17.57 tff(27682,plain,
% 25.81/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27683,plain,
% 25.81/17.57 (((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187)) <=> (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27684,plain,
% 25.81/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187))))),
% 25.81/17.57 inference(monotonicity,[status(thm)],[27683])).
% 25.81/17.57 tff(27685,plain,
% 25.81/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 25.81/17.57 inference(transitivity,[status(thm)],[27684, 27682])).
% 25.81/17.57 tff(27686,plain,
% 25.81/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))),
% 25.81/17.57 inference(quant_inst,[status(thm)],[])).
% 25.81/17.57 tff(27687,plain,
% 25.81/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187))),
% 25.81/17.57 inference(modus_ponens,[status(thm)],[27686, 27685])).
% 25.81/17.57 tff(27688,plain,
% 25.81/17.57 (~v101(constB187)),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27687, 860, 27681, 27678])).
% 25.81/17.57 tff(27689,plain,
% 25.81/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27690,plain,
% 25.81/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))),
% 25.81/17.57 inference(quant_inst,[status(thm)],[])).
% 25.81/17.57 tff(27691,plain,
% 25.81/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187))),
% 25.81/17.57 inference(modus_ponens,[status(thm)],[27690, 27689])).
% 25.81/17.57 tff(27692,plain,
% 25.81/17.57 (v101(constB187) | (~v100(constB187))),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27691, 877, 27681])).
% 25.81/17.57 tff(27693,plain,
% 25.81/17.57 (~v100(constB187)),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27692, 27688])).
% 25.81/17.57 tff(27694,plain,
% 25.81/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27695,plain,
% 25.81/17.57 (((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2))) <=> (v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27696,plain,
% 25.81/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2))))),
% 25.81/17.57 inference(monotonicity,[status(thm)],[27695])).
% 25.81/17.57 tff(27697,plain,
% 25.81/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 25.81/17.57 inference(transitivity,[status(thm)],[27696, 27694])).
% 25.81/17.57 tff(27698,plain,
% 25.81/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 25.81/17.57 inference(quant_inst,[status(thm)],[])).
% 25.81/17.57 tff(27699,plain,
% 25.81/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2))),
% 25.81/17.57 inference(modus_ponens,[status(thm)],[27698, 27697])).
% 25.81/17.57 tff(27700,plain,
% 25.81/17.57 (v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2))),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27699, 892, 27681])).
% 25.81/17.57 tff(27701,plain,
% 25.81/17.57 (v90(constB186, bitIndex2) | (~v90(constB187, bitIndex2))),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27700, 27693])).
% 25.81/17.57 tff(27702,plain,
% 25.81/17.57 (~v90(constB187, bitIndex2)),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27701, 27675])).
% 25.81/17.57 tff(27703,plain,
% 25.81/17.57 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex1)))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27704,plain,
% 25.81/17.57 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex1)))),
% 25.81/17.57 inference(quant_inst,[status(thm)],[])).
% 25.81/17.57 tff(27705,plain,
% 25.81/17.57 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex1))),
% 25.81/17.57 inference(modus_ponens,[status(thm)],[27704, 27703])).
% 25.81/17.57 tff(27706,plain,
% 25.81/17.57 (~v130(constB185, bitIndex1)),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27705, 1887, 27653, 27649, 27645, 27641, 27637, 27633])).
% 25.81/17.57 tff(27707,plain,
% 25.81/17.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27708,plain,
% 25.81/17.57 ((v26(constB185) | v130(constB185, bitIndex1) | (~v127(constB185, bitIndex1))) <=> ((~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27709,plain,
% 25.81/17.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB185) | v130(constB185, bitIndex1) | (~v127(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1)))),
% 25.81/17.57 inference(monotonicity,[status(thm)],[27708])).
% 25.81/17.57 tff(27710,plain,
% 25.81/17.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB185) | v130(constB185, bitIndex1) | (~v127(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1))),
% 25.81/17.57 inference(transitivity,[status(thm)],[27709, 27707])).
% 25.81/17.57 tff(27711,plain,
% 25.81/17.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB185) | v130(constB185, bitIndex1) | (~v127(constB185, bitIndex1)))),
% 25.81/17.57 inference(quant_inst,[status(thm)],[])).
% 25.81/17.57 tff(27712,plain,
% 25.81/17.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1)),
% 25.81/17.57 inference(modus_ponens,[status(thm)],[27711, 27710])).
% 25.81/17.57 tff(27713,plain,
% 25.81/17.57 ((~v127(constB185, bitIndex1)) | v130(constB185, bitIndex1)),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27712, 1270, 27580])).
% 25.81/17.57 tff(27714,plain,
% 25.81/17.57 (~v127(constB185, bitIndex1)),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27713, 27706])).
% 25.81/17.57 tff(27715,plain,
% 25.81/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex1) | (~v129(constB186, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex1) | (~v129(constB186, bitIndex1)))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27716,plain,
% 25.81/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex1) | (~v129(constB186, bitIndex1)))),
% 25.81/17.57 inference(quant_inst,[status(thm)],[])).
% 25.81/17.57 tff(27717,plain,
% 25.81/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex1) | (~v129(constB186, bitIndex1))),
% 25.81/17.57 inference(modus_ponens,[status(thm)],[27716, 27715])).
% 25.81/17.57 tff(27718,plain,
% 25.81/17.57 (v127(constB185, bitIndex1) | (~v129(constB186, bitIndex1))),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27717, 1288, 27595])).
% 25.81/17.57 tff(27719,plain,
% 25.81/17.57 (~v129(constB186, bitIndex1)),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27718, 27714])).
% 25.81/17.57 tff(27720,plain,
% 25.81/17.57 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB186, bitIndex1)) | v129(constB186, bitIndex1) | (~v100(constB186)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB186, bitIndex1)) | v129(constB186, bitIndex1) | (~v100(constB186)))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27721,plain,
% 25.81/17.57 (((~v90(constB186, bitIndex1)) | (~v100(constB186)) | v129(constB186, bitIndex1)) <=> ((~v90(constB186, bitIndex1)) | v129(constB186, bitIndex1) | (~v100(constB186)))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27722,plain,
% 25.81/17.57 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB186, bitIndex1)) | (~v100(constB186)) | v129(constB186, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB186, bitIndex1)) | v129(constB186, bitIndex1) | (~v100(constB186))))),
% 25.81/17.57 inference(monotonicity,[status(thm)],[27721])).
% 25.81/17.57 tff(27723,plain,
% 25.81/17.57 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB186, bitIndex1)) | (~v100(constB186)) | v129(constB186, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB186, bitIndex1)) | v129(constB186, bitIndex1) | (~v100(constB186)))),
% 25.81/17.57 inference(transitivity,[status(thm)],[27722, 27720])).
% 25.81/17.57 tff(27724,plain,
% 25.81/17.57 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB186, bitIndex1)) | (~v100(constB186)) | v129(constB186, bitIndex1))),
% 25.81/17.57 inference(quant_inst,[status(thm)],[])).
% 25.81/17.57 tff(27725,plain,
% 25.81/17.57 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB186, bitIndex1)) | v129(constB186, bitIndex1) | (~v100(constB186))),
% 25.81/17.57 inference(modus_ponens,[status(thm)],[27724, 27723])).
% 25.81/17.57 tff(27726,plain,
% 25.81/17.57 ((~v90(constB186, bitIndex1)) | (~v100(constB186))),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27725, 1303, 27719])).
% 25.81/17.57 tff(27727,plain,
% 25.81/17.57 (~v90(constB186, bitIndex1)),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27726, 27629])).
% 25.81/17.57 tff(27728,plain,
% 25.81/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex1)))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27729,plain,
% 25.81/17.57 (((~nextState(constB186, constB187)) | v90(constB186, bitIndex1) | v100(constB187) | (~v90(constB187, bitIndex1))) <=> (v90(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex1)))),
% 25.81/17.57 inference(rewrite,[status(thm)],[])).
% 25.81/17.57 tff(27730,plain,
% 25.81/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex1) | v100(constB187) | (~v90(constB187, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex1))))),
% 25.81/17.57 inference(monotonicity,[status(thm)],[27729])).
% 25.81/17.57 tff(27731,plain,
% 25.81/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex1) | v100(constB187) | (~v90(constB187, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex1)))),
% 25.81/17.57 inference(transitivity,[status(thm)],[27730, 27728])).
% 25.81/17.57 tff(27732,plain,
% 25.81/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex1) | v100(constB187) | (~v90(constB187, bitIndex1)))),
% 25.81/17.57 inference(quant_inst,[status(thm)],[])).
% 25.81/17.57 tff(27733,plain,
% 25.81/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex1))),
% 25.81/17.57 inference(modus_ponens,[status(thm)],[27732, 27731])).
% 25.81/17.57 tff(27734,plain,
% 25.81/17.57 (v90(constB186, bitIndex1) | v100(constB187) | (~v90(constB187, bitIndex1))),
% 25.81/17.57 inference(unit_resolution,[status(thm)],[27733, 913, 27681])).
% 25.81/17.58 tff(27735,plain,
% 25.81/17.58 (v90(constB186, bitIndex1) | (~v90(constB187, bitIndex1))),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27734, 27693])).
% 25.81/17.58 tff(27736,plain,
% 25.81/17.58 (~v90(constB187, bitIndex1)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27735, 27727])).
% 25.81/17.58 tff(27737,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | v130(constB185, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | v130(constB185, bitIndex0))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27738,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | v130(constB185, bitIndex0))),
% 25.81/17.58 inference(quant_inst,[status(thm)],[])).
% 25.81/17.58 tff(27739,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | v130(constB185, bitIndex0)),
% 25.81/17.58 inference(modus_ponens,[status(thm)],[27738, 27737])).
% 25.81/17.58 tff(27740,plain,
% 25.81/17.58 (v130(constB185, bitIndex0)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27739, 1931, 27653, 27649, 27645, 27641, 27637, 27633])).
% 25.81/17.58 tff(27741,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27742,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0))),
% 25.81/17.58 inference(quant_inst,[status(thm)],[])).
% 25.81/17.58 tff(27743,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0)),
% 25.81/17.58 inference(modus_ponens,[status(thm)],[27742, 27741])).
% 25.81/17.58 tff(27744,plain,
% 25.81/17.58 ((~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27743, 1945, 27580])).
% 25.81/17.58 tff(27745,plain,
% 25.81/17.58 (v127(constB185, bitIndex0)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27744, 27740])).
% 25.81/17.58 tff(27746,plain,
% 25.81/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27747,plain,
% 25.81/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0))),
% 25.81/17.58 inference(quant_inst,[status(thm)],[])).
% 25.81/17.58 tff(27748,plain,
% 25.81/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0)),
% 25.81/17.58 inference(modus_ponens,[status(thm)],[27747, 27746])).
% 25.81/17.58 tff(27749,plain,
% 25.81/17.58 ((~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27748, 1960, 27595])).
% 25.81/17.58 tff(27750,plain,
% 25.81/17.58 (v129(constB186, bitIndex0)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27749, 27745])).
% 25.81/17.58 tff(27751,plain,
% 25.81/17.58 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27752,plain,
% 25.81/17.58 ((v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0))) <=> (v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27753,plain,
% 25.81/17.58 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186))))),
% 25.81/17.58 inference(monotonicity,[status(thm)],[27752])).
% 25.81/17.58 tff(27754,plain,
% 25.81/17.58 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))),
% 25.81/17.58 inference(transitivity,[status(thm)],[27753, 27751])).
% 25.81/17.58 tff(27755,plain,
% 25.81/17.58 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0)))),
% 25.81/17.58 inference(quant_inst,[status(thm)],[])).
% 25.81/17.58 tff(27756,plain,
% 25.81/17.58 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186))),
% 25.81/17.58 inference(modus_ponens,[status(thm)],[27755, 27754])).
% 25.81/17.58 tff(27757,plain,
% 25.81/17.58 (v90(constB186, bitIndex0) | (~v100(constB186))),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27756, 1975, 27750])).
% 25.81/17.58 tff(27758,plain,
% 25.81/17.58 (v90(constB186, bitIndex0)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27757, 27629])).
% 25.81/17.58 tff(27759,plain,
% 25.81/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27760,plain,
% 25.81/17.58 (((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0)) <=> ((~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27761,plain,
% 25.81/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0)))),
% 25.81/17.58 inference(monotonicity,[status(thm)],[27760])).
% 25.81/17.58 tff(27762,plain,
% 25.81/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))),
% 25.81/17.58 inference(transitivity,[status(thm)],[27761, 27759])).
% 25.81/17.58 tff(27763,plain,
% 25.81/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0))),
% 25.81/17.58 inference(quant_inst,[status(thm)],[])).
% 25.81/17.58 tff(27764,plain,
% 25.81/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0)),
% 25.81/17.58 inference(modus_ponens,[status(thm)],[27763, 27762])).
% 25.81/17.58 tff(27765,plain,
% 25.81/17.58 ((~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27764, 1993, 27681])).
% 25.81/17.58 tff(27766,plain,
% 25.81/17.58 ((~v90(constB186, bitIndex0)) | v90(constB187, bitIndex0)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27765, 27693])).
% 25.81/17.58 tff(27767,plain,
% 25.81/17.58 (v90(constB187, bitIndex0)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27766, 27758])).
% 25.81/17.58 tff(27768,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB187, bitIndex0)) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | v120(constB187))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB187, bitIndex0)) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | v120(constB187))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27769,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB187, bitIndex0)) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | v120(constB187))),
% 25.81/17.58 inference(quant_inst,[status(thm)],[])).
% 25.81/17.58 tff(27770,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB187, bitIndex0)) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | v120(constB187)),
% 25.81/17.58 inference(modus_ponens,[status(thm)],[27769, 27768])).
% 25.81/17.58 tff(27771,plain,
% 25.81/17.58 (v120(constB187)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27770, 2012, 27767, 27736, 27702])).
% 25.81/17.58 tff(27772,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB187) | (~v120(constB187)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB187) | (~v120(constB187)))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27773,plain,
% 25.81/17.58 (((~v120(constB187)) | v118(constB187)) <=> (v118(constB187) | (~v120(constB187)))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27774,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB187)) | v118(constB187))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB187) | (~v120(constB187))))),
% 25.81/17.58 inference(monotonicity,[status(thm)],[27773])).
% 25.81/17.58 tff(27775,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB187)) | v118(constB187))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB187) | (~v120(constB187)))),
% 25.81/17.58 inference(transitivity,[status(thm)],[27774, 27772])).
% 25.81/17.58 tff(27776,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB187)) | v118(constB187))),
% 25.81/17.58 inference(quant_inst,[status(thm)],[])).
% 25.81/17.58 tff(27777,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB187) | (~v120(constB187))),
% 25.81/17.58 inference(modus_ponens,[status(thm)],[27776, 27775])).
% 25.81/17.58 tff(27778,plain,
% 25.81/17.58 (v118(constB187)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27777, 2210, 27771])).
% 25.81/17.58 tff(27779,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB187) | (~v118(constB187)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB187) | (~v118(constB187)))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27780,plain,
% 25.81/17.58 (((~v118(constB187)) | v117(constB187)) <=> (v117(constB187) | (~v118(constB187)))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27781,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB187)) | v117(constB187))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB187) | (~v118(constB187))))),
% 25.81/17.58 inference(monotonicity,[status(thm)],[27780])).
% 25.81/17.58 tff(27782,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB187)) | v117(constB187))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB187) | (~v118(constB187)))),
% 25.81/17.58 inference(transitivity,[status(thm)],[27781, 27779])).
% 25.81/17.58 tff(27783,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB187)) | v117(constB187))),
% 25.81/17.58 inference(quant_inst,[status(thm)],[])).
% 25.81/17.58 tff(27784,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB187) | (~v118(constB187))),
% 25.81/17.58 inference(modus_ponens,[status(thm)],[27783, 27782])).
% 25.81/17.58 tff(27785,plain,
% 25.81/17.58 (v117(constB187)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27784, 980, 27778])).
% 25.81/17.58 tff(27786,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB187) | (~v117(constB187)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB187) | (~v117(constB187)))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27787,plain,
% 25.81/17.58 (((~v117(constB187)) | v116(constB187)) <=> (v116(constB187) | (~v117(constB187)))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27788,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB187)) | v116(constB187))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB187) | (~v117(constB187))))),
% 25.81/17.58 inference(monotonicity,[status(thm)],[27787])).
% 25.81/17.58 tff(27789,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB187)) | v116(constB187))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB187) | (~v117(constB187)))),
% 25.81/17.58 inference(transitivity,[status(thm)],[27788, 27786])).
% 25.81/17.58 tff(27790,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB187)) | v116(constB187))),
% 25.81/17.58 inference(quant_inst,[status(thm)],[])).
% 25.81/17.58 tff(27791,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB187) | (~v117(constB187))),
% 25.81/17.58 inference(modus_ponens,[status(thm)],[27790, 27789])).
% 25.81/17.58 tff(27792,plain,
% 25.81/17.58 (v116(constB187)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27791, 994, 27785])).
% 25.81/17.58 tff(27793,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB187) | (~v116(constB187)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB187) | (~v116(constB187)))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27794,plain,
% 25.81/17.58 (((~v116(constB187)) | v115(constB187)) <=> (v115(constB187) | (~v116(constB187)))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27795,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB187)) | v115(constB187))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB187) | (~v116(constB187))))),
% 25.81/17.58 inference(monotonicity,[status(thm)],[27794])).
% 25.81/17.58 tff(27796,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB187)) | v115(constB187))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB187) | (~v116(constB187)))),
% 25.81/17.58 inference(transitivity,[status(thm)],[27795, 27793])).
% 25.81/17.58 tff(27797,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB187)) | v115(constB187))),
% 25.81/17.58 inference(quant_inst,[status(thm)],[])).
% 25.81/17.58 tff(27798,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB187) | (~v116(constB187))),
% 25.81/17.58 inference(modus_ponens,[status(thm)],[27797, 27796])).
% 25.81/17.58 tff(27799,plain,
% 25.81/17.58 (v115(constB187)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27798, 1008, 27792])).
% 25.81/17.58 tff(27800,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB187) | (~v115(constB187)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB187) | (~v115(constB187)))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27801,plain,
% 25.81/17.58 (((~v115(constB187)) | v114(constB187)) <=> (v114(constB187) | (~v115(constB187)))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27802,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB187)) | v114(constB187))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB187) | (~v115(constB187))))),
% 25.81/17.58 inference(monotonicity,[status(thm)],[27801])).
% 25.81/17.58 tff(27803,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB187)) | v114(constB187))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB187) | (~v115(constB187)))),
% 25.81/17.58 inference(transitivity,[status(thm)],[27802, 27800])).
% 25.81/17.58 tff(27804,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB187)) | v114(constB187))),
% 25.81/17.58 inference(quant_inst,[status(thm)],[])).
% 25.81/17.58 tff(27805,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB187) | (~v115(constB187))),
% 25.81/17.58 inference(modus_ponens,[status(thm)],[27804, 27803])).
% 25.81/17.58 tff(27806,plain,
% 25.81/17.58 (v114(constB187)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27805, 1022, 27799])).
% 25.81/17.58 tff(27807,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB187) | (~v114(constB187)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB187) | (~v114(constB187)))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27808,plain,
% 25.81/17.58 (((~v114(constB187)) | v113(constB187)) <=> (v113(constB187) | (~v114(constB187)))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27809,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB187)) | v113(constB187))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB187) | (~v114(constB187))))),
% 25.81/17.58 inference(monotonicity,[status(thm)],[27808])).
% 25.81/17.58 tff(27810,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB187)) | v113(constB187))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB187) | (~v114(constB187)))),
% 25.81/17.58 inference(transitivity,[status(thm)],[27809, 27807])).
% 25.81/17.58 tff(27811,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB187)) | v113(constB187))),
% 25.81/17.58 inference(quant_inst,[status(thm)],[])).
% 25.81/17.58 tff(27812,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB187) | (~v114(constB187))),
% 25.81/17.58 inference(modus_ponens,[status(thm)],[27811, 27810])).
% 25.81/17.58 tff(27813,plain,
% 25.81/17.58 (v113(constB187)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27812, 1036, 27806])).
% 25.81/17.58 tff(27814,assumption,(v26(constB187)), introduced(assumption)).
% 25.81/17.58 tff(27815,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB187))),
% 25.81/17.58 inference(quant_inst,[status(thm)],[])).
% 25.81/17.58 tff(27816,plain,
% 25.81/17.58 ($false),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27815, 797, 27814])).
% 25.81/17.58 tff(27817,plain,(~v26(constB187)), inference(lemma,lemma(discharge,[]))).
% 25.81/17.58 tff(27818,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | v112(constB187) | (~v113(constB187)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27819,plain,
% 25.81/17.58 ((v26(constB187) | (~v113(constB187)) | v112(constB187)) <=> (v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27820,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | v112(constB187) | (~v113(constB187))))),
% 25.81/17.58 inference(monotonicity,[status(thm)],[27819])).
% 25.81/17.58 tff(27821,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 25.81/17.58 inference(transitivity,[status(thm)],[27820, 27818])).
% 25.81/17.58 tff(27822,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))),
% 25.81/17.58 inference(quant_inst,[status(thm)],[])).
% 25.81/17.58 tff(27823,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187))),
% 25.81/17.58 inference(modus_ponens,[status(thm)],[27822, 27821])).
% 25.81/17.58 tff(27824,plain,
% 25.81/17.58 (v112(constB187) | (~v113(constB187))),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27823, 1050, 27817])).
% 25.81/17.58 tff(27825,plain,
% 25.81/17.58 (v112(constB187)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27824, 27813])).
% 25.81/17.58 tff(27826,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB187) | (~v112(constB187)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB187) | (~v112(constB187)))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27827,plain,
% 25.81/17.58 (((~v112(constB187)) | v108(constB187)) <=> (v108(constB187) | (~v112(constB187)))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27828,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB187)) | v108(constB187))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB187) | (~v112(constB187))))),
% 25.81/17.58 inference(monotonicity,[status(thm)],[27827])).
% 25.81/17.58 tff(27829,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB187)) | v108(constB187))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB187) | (~v112(constB187)))),
% 25.81/17.58 inference(transitivity,[status(thm)],[27828, 27826])).
% 25.81/17.58 tff(27830,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB187)) | v108(constB187))),
% 25.81/17.58 inference(quant_inst,[status(thm)],[])).
% 25.81/17.58 tff(27831,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB187) | (~v112(constB187))),
% 25.81/17.58 inference(modus_ponens,[status(thm)],[27830, 27829])).
% 25.81/17.58 tff(27832,plain,
% 25.81/17.58 (v108(constB187)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27831, 1062, 27825])).
% 25.81/17.58 tff(27833,plain,
% 25.81/17.58 (nextState(constB187, constB188) <=> nextState(constB187, constB188)),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27834,axiom,(nextState(constB187, constB188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_187_1')).
% 25.81/17.58 tff(27835,plain,
% 25.81/17.58 (nextState(constB187, constB188)),
% 25.81/17.58 inference(modus_ponens,[status(thm)],[27834, 27833])).
% 25.81/17.58 tff(27836,plain,
% 25.81/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27837,plain,
% 25.81/17.58 (((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188)) <=> ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27838,plain,
% 25.81/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187))))),
% 25.81/17.58 inference(monotonicity,[status(thm)],[27837])).
% 25.81/17.58 tff(27839,plain,
% 25.81/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 25.81/17.58 inference(transitivity,[status(thm)],[27838, 27836])).
% 25.81/17.58 tff(27840,plain,
% 25.81/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))),
% 25.81/17.58 inference(quant_inst,[status(thm)],[])).
% 25.81/17.58 tff(27841,plain,
% 25.81/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187))),
% 25.81/17.58 inference(modus_ponens,[status(thm)],[27840, 27839])).
% 25.81/17.58 tff(27842,plain,
% 25.81/17.58 (v110(constB188) | (~v108(constB187))),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27841, 1082, 27835])).
% 25.81/17.58 tff(27843,plain,
% 25.81/17.58 (v110(constB188)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27842, 27832])).
% 25.81/17.58 tff(27844,plain,
% 25.81/17.58 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27845,plain,
% 25.81/17.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))),
% 25.81/17.58 inference(quant_inst,[status(thm)],[])).
% 25.81/17.58 tff(27846,plain,
% 25.81/17.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188))),
% 25.81/17.58 inference(modus_ponens,[status(thm)],[27845, 27844])).
% 25.81/17.58 tff(27847,plain,
% 25.81/17.58 (~v104(constB188)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27846, 1100, 27835, 27678])).
% 25.81/17.58 tff(27848,plain,
% 25.81/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27849,plain,
% 25.81/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))),
% 25.81/17.58 inference(quant_inst,[status(thm)],[])).
% 25.81/17.58 tff(27850,plain,
% 25.81/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB187, constB188)) | v102(constB188) | v104(constB188)),
% 25.81/17.58 inference(modus_ponens,[status(thm)],[27849, 27848])).
% 25.81/17.58 tff(27851,plain,
% 25.81/17.58 (v102(constB188) | v104(constB188)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27850, 1114, 27835])).
% 25.81/17.58 tff(27852,plain,
% 25.81/17.58 (v102(constB188)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27851, 27847])).
% 25.81/17.58 tff(27853,plain,
% 25.81/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27854,plain,
% 25.81/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))),
% 25.81/17.58 inference(quant_inst,[status(thm)],[])).
% 25.81/17.58 tff(27855,plain,
% 25.81/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188))),
% 25.81/17.58 inference(modus_ponens,[status(thm)],[27854, 27853])).
% 25.81/17.58 tff(27856,plain,
% 25.81/17.58 (v101(constB188) | (~v102(constB188))),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27855, 1129, 27835, 31])).
% 25.81/17.58 tff(27857,plain,
% 25.81/17.58 (v101(constB188)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27856, 27852])).
% 25.81/17.58 tff(27858,plain,
% 25.81/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27859,plain,
% 25.81/17.58 (((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188)) <=> ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27860,plain,
% 25.81/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188))))),
% 25.81/17.58 inference(monotonicity,[status(thm)],[27859])).
% 25.81/17.58 tff(27861,plain,
% 25.81/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 25.81/17.58 inference(transitivity,[status(thm)],[27860, 27858])).
% 25.81/17.58 tff(27862,plain,
% 25.81/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))),
% 25.81/17.58 inference(quant_inst,[status(thm)],[])).
% 25.81/17.58 tff(27863,plain,
% 25.81/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188))),
% 25.81/17.58 inference(modus_ponens,[status(thm)],[27862, 27861])).
% 25.81/17.58 tff(27864,plain,
% 25.81/17.58 (v100(constB188) | (~v101(constB188)) | (~v110(constB188))),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27863, 1144, 27835])).
% 25.81/17.58 tff(27865,plain,
% 25.81/17.58 (v100(constB188) | (~v110(constB188))),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27864, 27857])).
% 25.81/17.58 tff(27866,plain,
% 25.81/17.58 (v100(constB188)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27865, 27843])).
% 25.81/17.58 tff(27867,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB187)) | (~v130(constB187, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB187)) | (~v130(constB187, bitIndex2)))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27868,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB187)) | (~v130(constB187, bitIndex2)))),
% 25.81/17.58 inference(quant_inst,[status(thm)],[])).
% 25.81/17.58 tff(27869,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB187)) | (~v130(constB187, bitIndex2))),
% 25.81/17.58 inference(modus_ponens,[status(thm)],[27868, 27867])).
% 25.81/17.58 tff(27870,plain,
% 25.81/17.58 (~v130(constB187, bitIndex2)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27869, 2231, 27771])).
% 25.81/17.58 tff(27871,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB187, bitIndex2)) | v26(constB187) | v130(constB187, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB187, bitIndex2)) | v26(constB187) | v130(constB187, bitIndex2))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27872,plain,
% 25.81/17.58 ((v26(constB187) | v130(constB187, bitIndex2) | (~v127(constB187, bitIndex2))) <=> ((~v127(constB187, bitIndex2)) | v26(constB187) | v130(constB187, bitIndex2))),
% 25.81/17.58 inference(rewrite,[status(thm)],[])).
% 25.81/17.58 tff(27873,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB187) | v130(constB187, bitIndex2) | (~v127(constB187, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB187, bitIndex2)) | v26(constB187) | v130(constB187, bitIndex2)))),
% 25.81/17.58 inference(monotonicity,[status(thm)],[27872])).
% 25.81/17.58 tff(27874,plain,
% 25.81/17.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB187) | v130(constB187, bitIndex2) | (~v127(constB187, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB187, bitIndex2)) | v26(constB187) | v130(constB187, bitIndex2))),
% 25.81/17.58 inference(transitivity,[status(thm)],[27873, 27871])).
% 25.81/17.58 tff(27875,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB187) | v130(constB187, bitIndex2) | (~v127(constB187, bitIndex2)))),
% 25.81/17.58 inference(quant_inst,[status(thm)],[])).
% 25.81/17.58 tff(27876,plain,
% 25.81/17.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB187, bitIndex2)) | v26(constB187) | v130(constB187, bitIndex2)),
% 25.81/17.58 inference(modus_ponens,[status(thm)],[27875, 27874])).
% 25.81/17.58 tff(27877,plain,
% 25.81/17.58 ((~v127(constB187, bitIndex2)) | v130(constB187, bitIndex2)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27876, 1812, 27817])).
% 25.81/17.58 tff(27878,plain,
% 25.81/17.58 (~v127(constB187, bitIndex2)),
% 25.81/17.58 inference(unit_resolution,[status(thm)],[27877, 27870])).
% 25.81/17.58 tff(27879,plain,
% 25.81/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex2) | (~v129(constB188, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex2) | (~v129(constB188, bitIndex2)))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27880,plain,
% 25.81/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex2) | (~v129(constB188, bitIndex2)))),
% 25.81/17.59 inference(quant_inst,[status(thm)],[])).
% 25.81/17.59 tff(27881,plain,
% 25.81/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex2) | (~v129(constB188, bitIndex2))),
% 25.81/17.59 inference(modus_ponens,[status(thm)],[27880, 27879])).
% 25.81/17.59 tff(27882,plain,
% 25.81/17.59 (v127(constB187, bitIndex2) | (~v129(constB188, bitIndex2))),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27881, 1830, 27835])).
% 25.81/17.59 tff(27883,plain,
% 25.81/17.59 (~v129(constB188, bitIndex2)),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27882, 27878])).
% 25.81/17.59 tff(27884,plain,
% 25.81/17.59 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB188, bitIndex2)) | v129(constB188, bitIndex2) | (~v100(constB188)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB188, bitIndex2)) | v129(constB188, bitIndex2) | (~v100(constB188)))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27885,plain,
% 25.81/17.59 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB188, bitIndex2)) | v129(constB188, bitIndex2) | (~v100(constB188)))),
% 25.81/17.59 inference(quant_inst,[status(thm)],[])).
% 25.81/17.59 tff(27886,plain,
% 25.81/17.59 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB188, bitIndex2)) | v129(constB188, bitIndex2) | (~v100(constB188))),
% 25.81/17.59 inference(modus_ponens,[status(thm)],[27885, 27884])).
% 25.81/17.59 tff(27887,plain,
% 25.81/17.59 ((~v90(constB188, bitIndex2)) | (~v100(constB188))),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27886, 1845, 27883])).
% 25.81/17.59 tff(27888,plain,
% 25.81/17.59 (~v90(constB188, bitIndex2)),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27887, 27866])).
% 25.81/17.59 tff(27889,plain,
% 25.81/17.59 ((~v1(constB189)) <=> (~v1(constB189))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27890,axiom,(~v1(constB189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_189_1_1')).
% 25.81/17.59 tff(27891,plain,
% 25.81/17.59 (~v1(constB189)),
% 25.81/17.59 inference(modus_ponens,[status(thm)],[27890, 27889])).
% 25.81/17.59 tff(27892,plain,
% 25.81/17.59 (nextState(constB188, constB189) <=> nextState(constB188, constB189)),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27893,axiom,(nextState(constB188, constB189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_188_1')).
% 25.81/17.59 tff(27894,plain,
% 25.81/17.59 (nextState(constB188, constB189)),
% 25.81/17.59 inference(modus_ponens,[status(thm)],[27893, 27892])).
% 25.81/17.59 tff(27895,plain,
% 25.81/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27896,plain,
% 25.81/17.59 (((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189)) <=> (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27897,plain,
% 25.81/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189))))),
% 25.81/17.59 inference(monotonicity,[status(thm)],[27896])).
% 25.81/17.59 tff(27898,plain,
% 25.81/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 25.81/17.59 inference(transitivity,[status(thm)],[27897, 27895])).
% 25.81/17.59 tff(27899,plain,
% 25.81/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))),
% 25.81/17.59 inference(quant_inst,[status(thm)],[])).
% 25.81/17.59 tff(27900,plain,
% 25.81/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189))),
% 25.81/17.59 inference(modus_ponens,[status(thm)],[27899, 27898])).
% 25.81/17.59 tff(27901,plain,
% 25.81/17.59 (~v101(constB189)),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27900, 860, 27894, 27891])).
% 25.81/17.59 tff(27902,plain,
% 25.81/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27903,plain,
% 25.81/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))),
% 25.81/17.59 inference(quant_inst,[status(thm)],[])).
% 25.81/17.59 tff(27904,plain,
% 25.81/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189))),
% 25.81/17.59 inference(modus_ponens,[status(thm)],[27903, 27902])).
% 25.81/17.59 tff(27905,plain,
% 25.81/17.59 (v101(constB189) | (~v100(constB189))),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27904, 877, 27894])).
% 25.81/17.59 tff(27906,plain,
% 25.81/17.59 (~v100(constB189)),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27905, 27901])).
% 25.81/17.59 tff(27907,plain,
% 25.81/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex2)))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27908,plain,
% 25.81/17.59 (((~nextState(constB188, constB189)) | v90(constB188, bitIndex2) | v100(constB189) | (~v90(constB189, bitIndex2))) <=> (v90(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex2)))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27909,plain,
% 25.81/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex2) | v100(constB189) | (~v90(constB189, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex2))))),
% 25.81/17.59 inference(monotonicity,[status(thm)],[27908])).
% 25.81/17.59 tff(27910,plain,
% 25.81/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex2) | v100(constB189) | (~v90(constB189, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex2)))),
% 25.81/17.59 inference(transitivity,[status(thm)],[27909, 27907])).
% 25.81/17.59 tff(27911,plain,
% 25.81/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex2) | v100(constB189) | (~v90(constB189, bitIndex2)))),
% 25.81/17.59 inference(quant_inst,[status(thm)],[])).
% 25.81/17.59 tff(27912,plain,
% 25.81/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex2))),
% 25.81/17.59 inference(modus_ponens,[status(thm)],[27911, 27910])).
% 25.81/17.59 tff(27913,plain,
% 25.81/17.59 (v90(constB188, bitIndex2) | v100(constB189) | (~v90(constB189, bitIndex2))),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27912, 892, 27894])).
% 25.81/17.59 tff(27914,plain,
% 25.81/17.59 (v90(constB188, bitIndex2) | (~v90(constB189, bitIndex2))),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27913, 27906])).
% 25.81/17.59 tff(27915,plain,
% 25.81/17.59 (~v90(constB189, bitIndex2)),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27914, 27888])).
% 25.81/17.59 tff(27916,plain,
% 25.81/17.59 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB187)) | v130(constB187, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB187)) | v130(constB187, bitIndex1))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27917,plain,
% 25.81/17.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB187)) | v130(constB187, bitIndex1))),
% 25.81/17.59 inference(quant_inst,[status(thm)],[])).
% 25.81/17.59 tff(27918,plain,
% 25.81/17.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB187)) | v130(constB187, bitIndex1)),
% 25.81/17.59 inference(modus_ponens,[status(thm)],[27917, 27916])).
% 25.81/17.59 tff(27919,plain,
% 25.81/17.59 (v130(constB187, bitIndex1)),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27918, 2034, 27771])).
% 25.81/17.59 tff(27920,plain,
% 25.81/17.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB187) | (~v130(constB187, bitIndex1)) | v127(constB187, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB187) | (~v130(constB187, bitIndex1)) | v127(constB187, bitIndex1))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27921,plain,
% 25.81/17.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB187) | (~v130(constB187, bitIndex1)) | v127(constB187, bitIndex1))),
% 25.81/17.59 inference(quant_inst,[status(thm)],[])).
% 25.81/17.59 tff(27922,plain,
% 25.81/17.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB187) | (~v130(constB187, bitIndex1)) | v127(constB187, bitIndex1)),
% 25.81/17.59 inference(modus_ponens,[status(thm)],[27921, 27920])).
% 25.81/17.59 tff(27923,plain,
% 25.81/17.59 ((~v130(constB187, bitIndex1)) | v127(constB187, bitIndex1)),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27922, 1553, 27817])).
% 25.81/17.59 tff(27924,plain,
% 25.81/17.59 (v127(constB187, bitIndex1)),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27923, 27919])).
% 25.81/17.59 tff(27925,plain,
% 25.81/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB187, constB188)) | (~v127(constB187, bitIndex1)) | v129(constB188, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB187, constB188)) | (~v127(constB187, bitIndex1)) | v129(constB188, bitIndex1))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27926,plain,
% 25.81/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB187, constB188)) | (~v127(constB187, bitIndex1)) | v129(constB188, bitIndex1))),
% 25.81/17.59 inference(quant_inst,[status(thm)],[])).
% 25.81/17.59 tff(27927,plain,
% 25.81/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB187, constB188)) | (~v127(constB187, bitIndex1)) | v129(constB188, bitIndex1)),
% 25.81/17.59 inference(modus_ponens,[status(thm)],[27926, 27925])).
% 25.81/17.59 tff(27928,plain,
% 25.81/17.59 ((~v127(constB187, bitIndex1)) | v129(constB188, bitIndex1)),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27927, 1568, 27835])).
% 25.81/17.59 tff(27929,plain,
% 25.81/17.59 (v129(constB188, bitIndex1)),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27928, 27924])).
% 25.81/17.59 tff(27930,plain,
% 25.81/17.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB188, bitIndex1) | (~v129(constB188, bitIndex1)) | (~v100(constB188)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB188, bitIndex1) | (~v129(constB188, bitIndex1)) | (~v100(constB188)))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27931,plain,
% 25.81/17.59 ((v90(constB188, bitIndex1) | (~v100(constB188)) | (~v129(constB188, bitIndex1))) <=> (v90(constB188, bitIndex1) | (~v129(constB188, bitIndex1)) | (~v100(constB188)))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27932,plain,
% 25.81/17.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB188, bitIndex1) | (~v100(constB188)) | (~v129(constB188, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB188, bitIndex1) | (~v129(constB188, bitIndex1)) | (~v100(constB188))))),
% 25.81/17.59 inference(monotonicity,[status(thm)],[27931])).
% 25.81/17.59 tff(27933,plain,
% 25.81/17.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB188, bitIndex1) | (~v100(constB188)) | (~v129(constB188, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB188, bitIndex1) | (~v129(constB188, bitIndex1)) | (~v100(constB188)))),
% 25.81/17.59 inference(transitivity,[status(thm)],[27932, 27930])).
% 25.81/17.59 tff(27934,plain,
% 25.81/17.59 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB188, bitIndex1) | (~v100(constB188)) | (~v129(constB188, bitIndex1)))),
% 25.81/17.59 inference(quant_inst,[status(thm)],[])).
% 25.81/17.59 tff(27935,plain,
% 25.81/17.59 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB188, bitIndex1) | (~v129(constB188, bitIndex1)) | (~v100(constB188))),
% 25.81/17.59 inference(modus_ponens,[status(thm)],[27934, 27933])).
% 25.81/17.59 tff(27936,plain,
% 25.81/17.59 (v90(constB188, bitIndex1) | (~v100(constB188))),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27935, 1583, 27929])).
% 25.81/17.59 tff(27937,plain,
% 25.81/17.59 (v90(constB188, bitIndex1)),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27936, 27866])).
% 25.81/17.59 tff(27938,plain,
% 25.81/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex1))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27939,plain,
% 25.81/17.59 (((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex1)) | v100(constB189) | v90(constB189, bitIndex1)) <=> ((~v90(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex1))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27940,plain,
% 25.81/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex1)) | v100(constB189) | v90(constB189, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex1)))),
% 25.81/17.59 inference(monotonicity,[status(thm)],[27939])).
% 25.81/17.59 tff(27941,plain,
% 25.81/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex1)) | v100(constB189) | v90(constB189, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex1))),
% 25.81/17.59 inference(transitivity,[status(thm)],[27940, 27938])).
% 25.81/17.59 tff(27942,plain,
% 25.81/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex1)) | v100(constB189) | v90(constB189, bitIndex1))),
% 25.81/17.59 inference(quant_inst,[status(thm)],[])).
% 25.81/17.59 tff(27943,plain,
% 25.81/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex1)),
% 25.81/17.59 inference(modus_ponens,[status(thm)],[27942, 27941])).
% 25.81/17.59 tff(27944,plain,
% 25.81/17.59 ((~v90(constB188, bitIndex1)) | v100(constB189) | v90(constB189, bitIndex1)),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27943, 1601, 27894])).
% 25.81/17.59 tff(27945,plain,
% 25.81/17.59 ((~v90(constB188, bitIndex1)) | v90(constB189, bitIndex1)),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27944, 27906])).
% 25.81/17.59 tff(27946,plain,
% 25.81/17.59 (v90(constB189, bitIndex1)),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27945, 27937])).
% 25.81/17.59 tff(27947,plain,
% 25.81/17.59 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB187)) | (~v130(constB187, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB187)) | (~v130(constB187, bitIndex0)))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27948,plain,
% 25.81/17.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB187)) | (~v130(constB187, bitIndex0)))),
% 25.81/17.59 inference(quant_inst,[status(thm)],[])).
% 25.81/17.59 tff(27949,plain,
% 25.81/17.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB187)) | (~v130(constB187, bitIndex0))),
% 25.81/17.59 inference(modus_ponens,[status(thm)],[27948, 27947])).
% 25.81/17.59 tff(27950,plain,
% 25.81/17.59 (~v130(constB187, bitIndex0)),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27949, 2023, 27771])).
% 25.81/17.59 tff(27951,plain,
% 25.81/17.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27952,plain,
% 25.81/17.59 ((v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0))) <=> ((~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27953,plain,
% 25.81/17.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0)))),
% 25.81/17.59 inference(monotonicity,[status(thm)],[27952])).
% 25.81/17.59 tff(27954,plain,
% 25.81/17.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))),
% 25.81/17.59 inference(transitivity,[status(thm)],[27953, 27951])).
% 25.81/17.59 tff(27955,plain,
% 25.81/17.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0)))),
% 25.81/17.59 inference(quant_inst,[status(thm)],[])).
% 25.81/17.59 tff(27956,plain,
% 25.81/17.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0)),
% 25.81/17.59 inference(modus_ponens,[status(thm)],[27955, 27954])).
% 25.81/17.59 tff(27957,plain,
% 25.81/17.59 ((~v127(constB187, bitIndex0)) | v130(constB187, bitIndex0)),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27956, 1341, 27817])).
% 25.81/17.59 tff(27958,plain,
% 25.81/17.59 (~v127(constB187, bitIndex0)),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27957, 27950])).
% 25.81/17.59 tff(27959,plain,
% 25.81/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0)))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27960,plain,
% 25.81/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0)))),
% 25.81/17.59 inference(quant_inst,[status(thm)],[])).
% 25.81/17.59 tff(27961,plain,
% 25.81/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0))),
% 25.81/17.59 inference(modus_ponens,[status(thm)],[27960, 27959])).
% 25.81/17.59 tff(27962,plain,
% 25.81/17.59 (v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0))),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27961, 1359, 27835])).
% 25.81/17.59 tff(27963,plain,
% 25.81/17.59 (~v129(constB188, bitIndex0)),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27962, 27958])).
% 25.81/17.59 tff(27964,plain,
% 25.81/17.59 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27965,plain,
% 25.81/17.59 (((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0)) <=> ((~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27966,plain,
% 25.81/17.59 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188))))),
% 25.81/17.59 inference(monotonicity,[status(thm)],[27965])).
% 25.81/17.59 tff(27967,plain,
% 25.81/17.59 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))),
% 25.81/17.59 inference(transitivity,[status(thm)],[27966, 27964])).
% 25.81/17.59 tff(27968,plain,
% 25.81/17.59 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0))),
% 25.81/17.59 inference(quant_inst,[status(thm)],[])).
% 25.81/17.59 tff(27969,plain,
% 25.81/17.59 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188))),
% 25.81/17.59 inference(modus_ponens,[status(thm)],[27968, 27967])).
% 25.81/17.59 tff(27970,plain,
% 25.81/17.59 ((~v90(constB188, bitIndex0)) | (~v100(constB188))),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27969, 1374, 27963])).
% 25.81/17.59 tff(27971,plain,
% 25.81/17.59 (~v90(constB188, bitIndex0)),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27970, 27866])).
% 25.81/17.59 tff(27972,plain,
% 25.81/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27973,plain,
% 25.81/17.59 (((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0))) <=> (v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27974,plain,
% 25.81/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0))))),
% 25.81/17.59 inference(monotonicity,[status(thm)],[27973])).
% 25.81/17.59 tff(27975,plain,
% 25.81/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 25.81/17.59 inference(transitivity,[status(thm)],[27974, 27972])).
% 25.81/17.59 tff(27976,plain,
% 25.81/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 25.81/17.59 inference(quant_inst,[status(thm)],[])).
% 25.81/17.59 tff(27977,plain,
% 25.81/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0))),
% 25.81/17.59 inference(modus_ponens,[status(thm)],[27976, 27975])).
% 25.81/17.59 tff(27978,plain,
% 25.81/17.59 (v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0))),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27977, 934, 27894])).
% 25.81/17.59 tff(27979,plain,
% 25.81/17.59 (v90(constB188, bitIndex0) | (~v90(constB189, bitIndex0))),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27978, 27906])).
% 25.81/17.59 tff(27980,plain,
% 25.81/17.59 (~v90(constB189, bitIndex0)),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27979, 27971])).
% 25.81/17.59 tff(27981,plain,
% 25.81/17.59 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex2) | v121(constB189))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex2) | v121(constB189))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27982,plain,
% 25.81/17.59 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex2) | v121(constB189))),
% 25.81/17.59 inference(quant_inst,[status(thm)],[])).
% 25.81/17.59 tff(27983,plain,
% 25.81/17.59 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex2) | v121(constB189)),
% 25.81/17.59 inference(modus_ponens,[status(thm)],[27982, 27981])).
% 25.81/17.59 tff(27984,plain,
% 25.81/17.59 (v121(constB189)),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27983, 2145, 27980, 27946, 27915])).
% 25.81/17.59 tff(27985,plain,
% 25.81/17.59 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB189) | (~v121(constB189)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB189) | (~v121(constB189)))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27986,plain,
% 25.81/17.59 (((~v121(constB189)) | v117(constB189)) <=> (v117(constB189) | (~v121(constB189)))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27987,plain,
% 25.81/17.59 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB189)) | v117(constB189))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB189) | (~v121(constB189))))),
% 25.81/17.59 inference(monotonicity,[status(thm)],[27986])).
% 25.81/17.59 tff(27988,plain,
% 25.81/17.59 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB189)) | v117(constB189))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB189) | (~v121(constB189)))),
% 25.81/17.59 inference(transitivity,[status(thm)],[27987, 27985])).
% 25.81/17.59 tff(27989,plain,
% 25.81/17.59 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB189)) | v117(constB189))),
% 25.81/17.59 inference(quant_inst,[status(thm)],[])).
% 25.81/17.59 tff(27990,plain,
% 25.81/17.59 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB189) | (~v121(constB189))),
% 25.81/17.59 inference(modus_ponens,[status(thm)],[27989, 27988])).
% 25.81/17.59 tff(27991,plain,
% 25.81/17.59 (v117(constB189)),
% 25.81/17.59 inference(unit_resolution,[status(thm)],[27990, 2102, 27984])).
% 25.81/17.59 tff(27992,plain,
% 25.81/17.59 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB189) | (~v117(constB189)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB189) | (~v117(constB189)))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27993,plain,
% 25.81/17.59 (((~v117(constB189)) | v116(constB189)) <=> (v116(constB189) | (~v117(constB189)))),
% 25.81/17.59 inference(rewrite,[status(thm)],[])).
% 25.81/17.59 tff(27994,plain,
% 25.81/17.59 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB189)) | v116(constB189))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB189) | (~v117(constB189))))),
% 25.81/17.59 inference(monotonicity,[status(thm)],[27993])).
% 25.81/17.59 tff(27995,plain,
% 25.81/17.59 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB189)) | v116(constB189))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB189) | (~v117(constB189)))),
% 25.81/17.60 inference(transitivity,[status(thm)],[27994, 27992])).
% 25.81/17.60 tff(27996,plain,
% 25.81/17.60 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB189)) | v116(constB189))),
% 25.81/17.60 inference(quant_inst,[status(thm)],[])).
% 25.81/17.60 tff(27997,plain,
% 25.81/17.60 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB189) | (~v117(constB189))),
% 25.81/17.60 inference(modus_ponens,[status(thm)],[27996, 27995])).
% 25.81/17.60 tff(27998,plain,
% 25.81/17.60 (v116(constB189)),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[27997, 994, 27991])).
% 25.81/17.60 tff(27999,plain,
% 25.81/17.60 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB189) | (~v116(constB189)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB189) | (~v116(constB189)))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28000,plain,
% 25.81/17.60 (((~v116(constB189)) | v115(constB189)) <=> (v115(constB189) | (~v116(constB189)))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28001,plain,
% 25.81/17.60 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB189)) | v115(constB189))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB189) | (~v116(constB189))))),
% 25.81/17.60 inference(monotonicity,[status(thm)],[28000])).
% 25.81/17.60 tff(28002,plain,
% 25.81/17.60 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB189)) | v115(constB189))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB189) | (~v116(constB189)))),
% 25.81/17.60 inference(transitivity,[status(thm)],[28001, 27999])).
% 25.81/17.60 tff(28003,plain,
% 25.81/17.60 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB189)) | v115(constB189))),
% 25.81/17.60 inference(quant_inst,[status(thm)],[])).
% 25.81/17.60 tff(28004,plain,
% 25.81/17.60 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB189) | (~v116(constB189))),
% 25.81/17.60 inference(modus_ponens,[status(thm)],[28003, 28002])).
% 25.81/17.60 tff(28005,plain,
% 25.81/17.60 (v115(constB189)),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28004, 1008, 27998])).
% 25.81/17.60 tff(28006,plain,
% 25.81/17.60 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB189) | (~v115(constB189)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB189) | (~v115(constB189)))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28007,plain,
% 25.81/17.60 (((~v115(constB189)) | v114(constB189)) <=> (v114(constB189) | (~v115(constB189)))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28008,plain,
% 25.81/17.60 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB189)) | v114(constB189))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB189) | (~v115(constB189))))),
% 25.81/17.60 inference(monotonicity,[status(thm)],[28007])).
% 25.81/17.60 tff(28009,plain,
% 25.81/17.60 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB189)) | v114(constB189))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB189) | (~v115(constB189)))),
% 25.81/17.60 inference(transitivity,[status(thm)],[28008, 28006])).
% 25.81/17.60 tff(28010,plain,
% 25.81/17.60 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB189)) | v114(constB189))),
% 25.81/17.60 inference(quant_inst,[status(thm)],[])).
% 25.81/17.60 tff(28011,plain,
% 25.81/17.60 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB189) | (~v115(constB189))),
% 25.81/17.60 inference(modus_ponens,[status(thm)],[28010, 28009])).
% 25.81/17.60 tff(28012,plain,
% 25.81/17.60 (v114(constB189)),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28011, 1022, 28005])).
% 25.81/17.60 tff(28013,plain,
% 25.81/17.60 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB189) | (~v114(constB189)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB189) | (~v114(constB189)))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28014,plain,
% 25.81/17.60 (((~v114(constB189)) | v113(constB189)) <=> (v113(constB189) | (~v114(constB189)))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28015,plain,
% 25.81/17.60 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB189)) | v113(constB189))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB189) | (~v114(constB189))))),
% 25.81/17.60 inference(monotonicity,[status(thm)],[28014])).
% 25.81/17.60 tff(28016,plain,
% 25.81/17.60 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB189)) | v113(constB189))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB189) | (~v114(constB189)))),
% 25.81/17.60 inference(transitivity,[status(thm)],[28015, 28013])).
% 25.81/17.60 tff(28017,plain,
% 25.81/17.60 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB189)) | v113(constB189))),
% 25.81/17.60 inference(quant_inst,[status(thm)],[])).
% 25.81/17.60 tff(28018,plain,
% 25.81/17.60 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB189) | (~v114(constB189))),
% 25.81/17.60 inference(modus_ponens,[status(thm)],[28017, 28016])).
% 25.81/17.60 tff(28019,plain,
% 25.81/17.60 (v113(constB189)),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28018, 1036, 28012])).
% 25.81/17.60 tff(28020,assumption,(v26(constB189)), introduced(assumption)).
% 25.81/17.60 tff(28021,plain,
% 25.81/17.60 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB189))),
% 25.81/17.60 inference(quant_inst,[status(thm)],[])).
% 25.81/17.60 tff(28022,plain,
% 25.81/17.60 ($false),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28021, 797, 28020])).
% 25.81/17.60 tff(28023,plain,(~v26(constB189)), inference(lemma,lemma(discharge,[]))).
% 25.81/17.60 tff(28024,plain,
% 25.81/17.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | (~v113(constB189)) | v112(constB189))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB189) | (~v113(constB189)) | v112(constB189))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28025,plain,
% 25.81/17.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | (~v113(constB189)) | v112(constB189))),
% 25.81/17.60 inference(quant_inst,[status(thm)],[])).
% 25.81/17.60 tff(28026,plain,
% 25.81/17.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB189) | (~v113(constB189)) | v112(constB189)),
% 25.81/17.60 inference(modus_ponens,[status(thm)],[28025, 28024])).
% 25.81/17.60 tff(28027,plain,
% 25.81/17.60 ((~v113(constB189)) | v112(constB189)),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28026, 1050, 28023])).
% 25.81/17.60 tff(28028,plain,
% 25.81/17.60 (v112(constB189)),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28027, 28019])).
% 25.81/17.60 tff(28029,plain,
% 25.81/17.60 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB189) | (~v112(constB189)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB189) | (~v112(constB189)))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28030,plain,
% 25.81/17.60 (((~v112(constB189)) | v108(constB189)) <=> (v108(constB189) | (~v112(constB189)))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28031,plain,
% 25.81/17.60 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB189)) | v108(constB189))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB189) | (~v112(constB189))))),
% 25.81/17.60 inference(monotonicity,[status(thm)],[28030])).
% 25.81/17.60 tff(28032,plain,
% 25.81/17.60 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB189)) | v108(constB189))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB189) | (~v112(constB189)))),
% 25.81/17.60 inference(transitivity,[status(thm)],[28031, 28029])).
% 25.81/17.60 tff(28033,plain,
% 25.81/17.60 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB189)) | v108(constB189))),
% 25.81/17.60 inference(quant_inst,[status(thm)],[])).
% 25.81/17.60 tff(28034,plain,
% 25.81/17.60 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB189) | (~v112(constB189))),
% 25.81/17.60 inference(modus_ponens,[status(thm)],[28033, 28032])).
% 25.81/17.60 tff(28035,plain,
% 25.81/17.60 (v108(constB189)),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28034, 1062, 28028])).
% 25.81/17.60 tff(28036,plain,
% 25.81/17.60 (nextState(constB189, constB190) <=> nextState(constB189, constB190)),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28037,axiom,(nextState(constB189, constB190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_189_1')).
% 25.81/17.60 tff(28038,plain,
% 25.81/17.60 (nextState(constB189, constB190)),
% 25.81/17.60 inference(modus_ponens,[status(thm)],[28037, 28036])).
% 25.81/17.60 tff(28039,plain,
% 25.81/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28040,plain,
% 25.81/17.60 (((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190)) <=> ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28041,plain,
% 25.81/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189))))),
% 25.81/17.60 inference(monotonicity,[status(thm)],[28040])).
% 25.81/17.60 tff(28042,plain,
% 25.81/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 25.81/17.60 inference(transitivity,[status(thm)],[28041, 28039])).
% 25.81/17.60 tff(28043,plain,
% 25.81/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))),
% 25.81/17.60 inference(quant_inst,[status(thm)],[])).
% 25.81/17.60 tff(28044,plain,
% 25.81/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189))),
% 25.81/17.60 inference(modus_ponens,[status(thm)],[28043, 28042])).
% 25.81/17.60 tff(28045,plain,
% 25.81/17.60 (v110(constB190) | (~v108(constB189))),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28044, 1082, 28038])).
% 25.81/17.60 tff(28046,plain,
% 25.81/17.60 (v110(constB190)),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28045, 28035])).
% 25.81/17.60 tff(28047,plain,
% 25.81/17.60 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28048,plain,
% 25.81/17.60 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))),
% 25.81/17.60 inference(quant_inst,[status(thm)],[])).
% 25.81/17.60 tff(28049,plain,
% 25.81/17.60 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190))),
% 25.81/17.60 inference(modus_ponens,[status(thm)],[28048, 28047])).
% 25.81/17.60 tff(28050,plain,
% 25.81/17.60 (~v104(constB190)),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28049, 1100, 28038, 27891])).
% 25.81/17.60 tff(28051,plain,
% 25.81/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28052,plain,
% 25.81/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))),
% 25.81/17.60 inference(quant_inst,[status(thm)],[])).
% 25.81/17.60 tff(28053,plain,
% 25.81/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB189, constB190)) | v102(constB190) | v104(constB190)),
% 25.81/17.60 inference(modus_ponens,[status(thm)],[28052, 28051])).
% 25.81/17.60 tff(28054,plain,
% 25.81/17.60 (v102(constB190) | v104(constB190)),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28053, 1114, 28038])).
% 25.81/17.60 tff(28055,plain,
% 25.81/17.60 (v102(constB190)),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28054, 28050])).
% 25.81/17.60 tff(28056,plain,
% 25.81/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28057,plain,
% 25.81/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))),
% 25.81/17.60 inference(quant_inst,[status(thm)],[])).
% 25.81/17.60 tff(28058,plain,
% 25.81/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190))),
% 25.81/17.60 inference(modus_ponens,[status(thm)],[28057, 28056])).
% 25.81/17.60 tff(28059,plain,
% 25.81/17.60 (v101(constB190) | (~v102(constB190))),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28058, 1129, 28038, 64])).
% 25.81/17.60 tff(28060,plain,
% 25.81/17.60 (v101(constB190)),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28059, 28055])).
% 25.81/17.60 tff(28061,plain,
% 25.81/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28062,plain,
% 25.81/17.60 (((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190)) <=> ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28063,plain,
% 25.81/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190))))),
% 25.81/17.60 inference(monotonicity,[status(thm)],[28062])).
% 25.81/17.60 tff(28064,plain,
% 25.81/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 25.81/17.60 inference(transitivity,[status(thm)],[28063, 28061])).
% 25.81/17.60 tff(28065,plain,
% 25.81/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))),
% 25.81/17.60 inference(quant_inst,[status(thm)],[])).
% 25.81/17.60 tff(28066,plain,
% 25.81/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190))),
% 25.81/17.60 inference(modus_ponens,[status(thm)],[28065, 28064])).
% 25.81/17.60 tff(28067,plain,
% 25.81/17.60 (v100(constB190) | (~v101(constB190)) | (~v110(constB190))),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28066, 1144, 28038])).
% 25.81/17.60 tff(28068,plain,
% 25.81/17.60 (v100(constB190) | (~v110(constB190))),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28067, 28060])).
% 25.81/17.60 tff(28069,plain,
% 25.81/17.60 (v100(constB190)),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28068, 28046])).
% 25.81/17.60 tff(28070,plain,
% 25.81/17.60 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB189)) | (~v130(constB189, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB189)) | (~v130(constB189, bitIndex2)))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28071,plain,
% 25.81/17.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB189)) | (~v130(constB189, bitIndex2)))),
% 25.81/17.60 inference(quant_inst,[status(thm)],[])).
% 25.81/17.60 tff(28072,plain,
% 25.81/17.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB189)) | (~v130(constB189, bitIndex2))),
% 25.81/17.60 inference(modus_ponens,[status(thm)],[28071, 28070])).
% 25.81/17.60 tff(28073,plain,
% 25.81/17.60 (~v130(constB189, bitIndex2)),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28072, 2406, 27984])).
% 25.81/17.60 tff(28074,plain,
% 25.81/17.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB189, bitIndex2)) | v26(constB189) | v130(constB189, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB189, bitIndex2)) | v26(constB189) | v130(constB189, bitIndex2))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28075,plain,
% 25.81/17.60 ((v26(constB189) | v130(constB189, bitIndex2) | (~v127(constB189, bitIndex2))) <=> ((~v127(constB189, bitIndex2)) | v26(constB189) | v130(constB189, bitIndex2))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28076,plain,
% 25.81/17.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB189) | v130(constB189, bitIndex2) | (~v127(constB189, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB189, bitIndex2)) | v26(constB189) | v130(constB189, bitIndex2)))),
% 25.81/17.60 inference(monotonicity,[status(thm)],[28075])).
% 25.81/17.60 tff(28077,plain,
% 25.81/17.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB189) | v130(constB189, bitIndex2) | (~v127(constB189, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB189, bitIndex2)) | v26(constB189) | v130(constB189, bitIndex2))),
% 25.81/17.60 inference(transitivity,[status(thm)],[28076, 28074])).
% 25.81/17.60 tff(28078,plain,
% 25.81/17.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB189) | v130(constB189, bitIndex2) | (~v127(constB189, bitIndex2)))),
% 25.81/17.60 inference(quant_inst,[status(thm)],[])).
% 25.81/17.60 tff(28079,plain,
% 25.81/17.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB189, bitIndex2)) | v26(constB189) | v130(constB189, bitIndex2)),
% 25.81/17.60 inference(modus_ponens,[status(thm)],[28078, 28077])).
% 25.81/17.60 tff(28080,plain,
% 25.81/17.60 ((~v127(constB189, bitIndex2)) | v130(constB189, bitIndex2)),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28079, 1812, 28023])).
% 25.81/17.60 tff(28081,plain,
% 25.81/17.60 (~v127(constB189, bitIndex2)),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28080, 28073])).
% 25.81/17.60 tff(28082,plain,
% 25.81/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB189, constB190)) | v127(constB189, bitIndex2) | (~v129(constB190, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB189, constB190)) | v127(constB189, bitIndex2) | (~v129(constB190, bitIndex2)))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28083,plain,
% 25.81/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB189, constB190)) | v127(constB189, bitIndex2) | (~v129(constB190, bitIndex2)))),
% 25.81/17.60 inference(quant_inst,[status(thm)],[])).
% 25.81/17.60 tff(28084,plain,
% 25.81/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB189, constB190)) | v127(constB189, bitIndex2) | (~v129(constB190, bitIndex2))),
% 25.81/17.60 inference(modus_ponens,[status(thm)],[28083, 28082])).
% 25.81/17.60 tff(28085,plain,
% 25.81/17.60 (v127(constB189, bitIndex2) | (~v129(constB190, bitIndex2))),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28084, 1830, 28038])).
% 25.81/17.60 tff(28086,plain,
% 25.81/17.60 (~v129(constB190, bitIndex2)),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28085, 28081])).
% 25.81/17.60 tff(28087,plain,
% 25.81/17.60 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB190, bitIndex2)) | v129(constB190, bitIndex2) | (~v100(constB190)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB190, bitIndex2)) | v129(constB190, bitIndex2) | (~v100(constB190)))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28088,plain,
% 25.81/17.60 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB190, bitIndex2)) | v129(constB190, bitIndex2) | (~v100(constB190)))),
% 25.81/17.60 inference(quant_inst,[status(thm)],[])).
% 25.81/17.60 tff(28089,plain,
% 25.81/17.60 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB190, bitIndex2)) | v129(constB190, bitIndex2) | (~v100(constB190))),
% 25.81/17.60 inference(modus_ponens,[status(thm)],[28088, 28087])).
% 25.81/17.60 tff(28090,plain,
% 25.81/17.60 ((~v90(constB190, bitIndex2)) | (~v100(constB190))),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28089, 1845, 28086])).
% 25.81/17.60 tff(28091,plain,
% 25.81/17.60 (~v90(constB190, bitIndex2)),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28090, 28069])).
% 25.81/17.60 tff(28092,plain,
% 25.81/17.60 ((~v1(constB191)) <=> (~v1(constB191))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28093,axiom,(~v1(constB191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_191_1_1')).
% 25.81/17.60 tff(28094,plain,
% 25.81/17.60 (~v1(constB191)),
% 25.81/17.60 inference(modus_ponens,[status(thm)],[28093, 28092])).
% 25.81/17.60 tff(28095,plain,
% 25.81/17.60 (nextState(constB190, constB191) <=> nextState(constB190, constB191)),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28096,axiom,(nextState(constB190, constB191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_190_1')).
% 25.81/17.60 tff(28097,plain,
% 25.81/17.60 (nextState(constB190, constB191)),
% 25.81/17.60 inference(modus_ponens,[status(thm)],[28096, 28095])).
% 25.81/17.60 tff(28098,plain,
% 25.81/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28099,plain,
% 25.81/17.60 (((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191)) <=> (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28100,plain,
% 25.81/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191))))),
% 25.81/17.60 inference(monotonicity,[status(thm)],[28099])).
% 25.81/17.60 tff(28101,plain,
% 25.81/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 25.81/17.60 inference(transitivity,[status(thm)],[28100, 28098])).
% 25.81/17.60 tff(28102,plain,
% 25.81/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))),
% 25.81/17.60 inference(quant_inst,[status(thm)],[])).
% 25.81/17.60 tff(28103,plain,
% 25.81/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191))),
% 25.81/17.60 inference(modus_ponens,[status(thm)],[28102, 28101])).
% 25.81/17.60 tff(28104,plain,
% 25.81/17.60 (~v101(constB191)),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28103, 860, 28097, 28094])).
% 25.81/17.60 tff(28105,plain,
% 25.81/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28106,plain,
% 25.81/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))),
% 25.81/17.60 inference(quant_inst,[status(thm)],[])).
% 25.81/17.60 tff(28107,plain,
% 25.81/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191))),
% 25.81/17.60 inference(modus_ponens,[status(thm)],[28106, 28105])).
% 25.81/17.60 tff(28108,plain,
% 25.81/17.60 (v101(constB191) | (~v100(constB191))),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28107, 877, 28097])).
% 25.81/17.60 tff(28109,plain,
% 25.81/17.60 (~v100(constB191)),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28108, 28104])).
% 25.81/17.60 tff(28110,plain,
% 25.81/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex2)))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28111,plain,
% 25.81/17.60 (((~nextState(constB190, constB191)) | v90(constB190, bitIndex2) | v100(constB191) | (~v90(constB191, bitIndex2))) <=> (v90(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex2)))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28112,plain,
% 25.81/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB190, constB191)) | v90(constB190, bitIndex2) | v100(constB191) | (~v90(constB191, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex2))))),
% 25.81/17.60 inference(monotonicity,[status(thm)],[28111])).
% 25.81/17.60 tff(28113,plain,
% 25.81/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB190, constB191)) | v90(constB190, bitIndex2) | v100(constB191) | (~v90(constB191, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex2)))),
% 25.81/17.60 inference(transitivity,[status(thm)],[28112, 28110])).
% 25.81/17.60 tff(28114,plain,
% 25.81/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB190, constB191)) | v90(constB190, bitIndex2) | v100(constB191) | (~v90(constB191, bitIndex2)))),
% 25.81/17.60 inference(quant_inst,[status(thm)],[])).
% 25.81/17.60 tff(28115,plain,
% 25.81/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex2))),
% 25.81/17.60 inference(modus_ponens,[status(thm)],[28114, 28113])).
% 25.81/17.60 tff(28116,plain,
% 25.81/17.60 (v90(constB190, bitIndex2) | v100(constB191) | (~v90(constB191, bitIndex2))),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28115, 892, 28097])).
% 25.81/17.60 tff(28117,plain,
% 25.81/17.60 (v90(constB190, bitIndex2) | (~v90(constB191, bitIndex2))),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28116, 28109])).
% 25.81/17.60 tff(28118,plain,
% 25.81/17.60 (~v90(constB191, bitIndex2)),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28117, 28091])).
% 25.81/17.60 tff(28119,plain,
% 25.81/17.60 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB189)) | v130(constB189, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB189)) | v130(constB189, bitIndex1))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28120,plain,
% 25.81/17.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB189)) | v130(constB189, bitIndex1))),
% 25.81/17.60 inference(quant_inst,[status(thm)],[])).
% 25.81/17.60 tff(28121,plain,
% 25.81/17.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB189)) | v130(constB189, bitIndex1)),
% 25.81/17.60 inference(modus_ponens,[status(thm)],[28120, 28119])).
% 25.81/17.60 tff(28122,plain,
% 25.81/17.60 (v130(constB189, bitIndex1)),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28121, 2562, 27984])).
% 25.81/17.60 tff(28123,plain,
% 25.81/17.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB189) | (~v130(constB189, bitIndex1)) | v127(constB189, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB189) | (~v130(constB189, bitIndex1)) | v127(constB189, bitIndex1))),
% 25.81/17.60 inference(rewrite,[status(thm)],[])).
% 25.81/17.60 tff(28124,plain,
% 25.81/17.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB189) | (~v130(constB189, bitIndex1)) | v127(constB189, bitIndex1))),
% 25.81/17.60 inference(quant_inst,[status(thm)],[])).
% 25.81/17.60 tff(28125,plain,
% 25.81/17.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB189) | (~v130(constB189, bitIndex1)) | v127(constB189, bitIndex1)),
% 25.81/17.60 inference(modus_ponens,[status(thm)],[28124, 28123])).
% 25.81/17.60 tff(28126,plain,
% 25.81/17.60 ((~v130(constB189, bitIndex1)) | v127(constB189, bitIndex1)),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28125, 1553, 28023])).
% 25.81/17.60 tff(28127,plain,
% 25.81/17.60 (v127(constB189, bitIndex1)),
% 25.81/17.60 inference(unit_resolution,[status(thm)],[28126, 28122])).
% 25.81/17.61 tff(28128,plain,
% 25.81/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex1)) | v129(constB190, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex1)) | v129(constB190, bitIndex1))),
% 25.81/17.61 inference(rewrite,[status(thm)],[])).
% 25.81/17.61 tff(28129,plain,
% 25.81/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex1)) | v129(constB190, bitIndex1))),
% 25.81/17.61 inference(quant_inst,[status(thm)],[])).
% 25.81/17.61 tff(28130,plain,
% 25.81/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex1)) | v129(constB190, bitIndex1)),
% 25.81/17.61 inference(modus_ponens,[status(thm)],[28129, 28128])).
% 25.81/17.61 tff(28131,plain,
% 25.81/17.61 ((~v127(constB189, bitIndex1)) | v129(constB190, bitIndex1)),
% 25.81/17.61 inference(unit_resolution,[status(thm)],[28130, 1568, 28038])).
% 25.81/17.61 tff(28132,plain,
% 25.81/17.61 (v129(constB190, bitIndex1)),
% 25.81/17.61 inference(unit_resolution,[status(thm)],[28131, 28127])).
% 25.81/17.61 tff(28133,plain,
% 25.81/17.61 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB190, bitIndex1) | (~v129(constB190, bitIndex1)) | (~v100(constB190)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB190, bitIndex1) | (~v129(constB190, bitIndex1)) | (~v100(constB190)))),
% 25.81/17.61 inference(rewrite,[status(thm)],[])).
% 25.81/17.61 tff(28134,plain,
% 25.81/17.61 ((v90(constB190, bitIndex1) | (~v100(constB190)) | (~v129(constB190, bitIndex1))) <=> (v90(constB190, bitIndex1) | (~v129(constB190, bitIndex1)) | (~v100(constB190)))),
% 25.81/17.61 inference(rewrite,[status(thm)],[])).
% 25.81/17.61 tff(28135,plain,
% 25.81/17.61 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB190, bitIndex1) | (~v100(constB190)) | (~v129(constB190, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB190, bitIndex1) | (~v129(constB190, bitIndex1)) | (~v100(constB190))))),
% 25.81/17.61 inference(monotonicity,[status(thm)],[28134])).
% 25.81/17.61 tff(28136,plain,
% 25.81/17.61 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB190, bitIndex1) | (~v100(constB190)) | (~v129(constB190, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB190, bitIndex1) | (~v129(constB190, bitIndex1)) | (~v100(constB190)))),
% 25.81/17.61 inference(transitivity,[status(thm)],[28135, 28133])).
% 25.81/17.61 tff(28137,plain,
% 25.81/17.61 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB190, bitIndex1) | (~v100(constB190)) | (~v129(constB190, bitIndex1)))),
% 25.81/17.61 inference(quant_inst,[status(thm)],[])).
% 25.81/17.61 tff(28138,plain,
% 25.81/17.61 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB190, bitIndex1) | (~v129(constB190, bitIndex1)) | (~v100(constB190))),
% 25.81/17.61 inference(modus_ponens,[status(thm)],[28137, 28136])).
% 25.81/17.61 tff(28139,plain,
% 25.81/17.61 (v90(constB190, bitIndex1) | (~v100(constB190))),
% 25.81/17.61 inference(unit_resolution,[status(thm)],[28138, 1583, 28132])).
% 25.81/17.61 tff(28140,plain,
% 25.81/17.61 (v90(constB190, bitIndex1)),
% 25.81/17.61 inference(unit_resolution,[status(thm)],[28139, 28069])).
% 25.81/17.61 tff(28141,plain,
% 25.81/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex1))),
% 25.81/17.61 inference(rewrite,[status(thm)],[])).
% 25.81/17.61 tff(28142,plain,
% 25.81/17.61 (((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex1)) | v100(constB191) | v90(constB191, bitIndex1)) <=> ((~v90(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex1))),
% 25.81/17.61 inference(rewrite,[status(thm)],[])).
% 25.81/17.61 tff(28143,plain,
% 25.81/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex1)) | v100(constB191) | v90(constB191, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex1)))),
% 25.81/17.61 inference(monotonicity,[status(thm)],[28142])).
% 25.81/17.61 tff(28144,plain,
% 25.81/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex1)) | v100(constB191) | v90(constB191, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex1))),
% 25.81/17.61 inference(transitivity,[status(thm)],[28143, 28141])).
% 25.81/17.61 tff(28145,plain,
% 25.81/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex1)) | v100(constB191) | v90(constB191, bitIndex1))),
% 25.81/17.61 inference(quant_inst,[status(thm)],[])).
% 25.81/17.61 tff(28146,plain,
% 25.81/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex1)),
% 25.81/17.61 inference(modus_ponens,[status(thm)],[28145, 28144])).
% 25.81/17.61 tff(28147,plain,
% 25.81/17.61 ((~v90(constB190, bitIndex1)) | v100(constB191) | v90(constB191, bitIndex1)),
% 25.81/17.61 inference(unit_resolution,[status(thm)],[28146, 1601, 28097])).
% 25.81/17.61 tff(28148,plain,
% 25.81/17.61 ((~v90(constB190, bitIndex1)) | v90(constB191, bitIndex1)),
% 25.81/17.61 inference(unit_resolution,[status(thm)],[28147, 28109])).
% 25.81/17.61 tff(28149,plain,
% 25.81/17.61 (v90(constB191, bitIndex1)),
% 25.81/17.61 inference(unit_resolution,[status(thm)],[28148, 28140])).
% 25.81/17.61 tff(28150,plain,
% 25.81/17.61 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB189)) | v130(constB189, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB189)) | v130(constB189, bitIndex0))),
% 25.81/17.61 inference(rewrite,[status(thm)],[])).
% 25.81/17.61 tff(28151,plain,
% 25.81/17.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB189)) | v130(constB189, bitIndex0))),
% 25.81/17.61 inference(quant_inst,[status(thm)],[])).
% 25.81/17.61 tff(28152,plain,
% 25.81/17.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB189)) | v130(constB189, bitIndex0)),
% 25.81/17.61 inference(modus_ponens,[status(thm)],[28151, 28150])).
% 25.81/17.61 tff(28153,plain,
% 25.81/17.61 (v130(constB189, bitIndex0)),
% 25.81/17.61 inference(unit_resolution,[status(thm)],[28152, 2600, 27984])).
% 25.81/17.61 tff(28154,plain,
% 25.81/17.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28155,plain,
% 25.90/17.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0))),
% 25.90/17.61 inference(quant_inst,[status(thm)],[])).
% 25.90/17.61 tff(28156,plain,
% 25.90/17.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0)),
% 25.90/17.61 inference(modus_ponens,[status(thm)],[28155, 28154])).
% 25.90/17.61 tff(28157,plain,
% 25.90/17.61 ((~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0)),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28156, 1945, 28023])).
% 25.90/17.61 tff(28158,plain,
% 25.90/17.61 (v127(constB189, bitIndex0)),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28157, 28153])).
% 25.90/17.61 tff(28159,plain,
% 25.90/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28160,plain,
% 25.90/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0))),
% 25.90/17.61 inference(quant_inst,[status(thm)],[])).
% 25.90/17.61 tff(28161,plain,
% 25.90/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0)),
% 25.90/17.61 inference(modus_ponens,[status(thm)],[28160, 28159])).
% 25.90/17.61 tff(28162,plain,
% 25.90/17.61 ((~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0)),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28161, 1960, 28038])).
% 25.90/17.61 tff(28163,plain,
% 25.90/17.61 (v129(constB190, bitIndex0)),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28162, 28158])).
% 25.90/17.61 tff(28164,plain,
% 25.90/17.61 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28165,plain,
% 25.90/17.61 ((v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0))) <=> (v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28166,plain,
% 25.90/17.61 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190))))),
% 25.90/17.61 inference(monotonicity,[status(thm)],[28165])).
% 25.90/17.61 tff(28167,plain,
% 25.90/17.61 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))),
% 25.90/17.61 inference(transitivity,[status(thm)],[28166, 28164])).
% 25.90/17.61 tff(28168,plain,
% 25.90/17.61 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0)))),
% 25.90/17.61 inference(quant_inst,[status(thm)],[])).
% 25.90/17.61 tff(28169,plain,
% 25.90/17.61 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190))),
% 25.90/17.61 inference(modus_ponens,[status(thm)],[28168, 28167])).
% 25.90/17.61 tff(28170,plain,
% 25.90/17.61 (v90(constB190, bitIndex0) | (~v100(constB190))),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28169, 1975, 28163])).
% 25.90/17.61 tff(28171,plain,
% 25.90/17.61 (v90(constB190, bitIndex0)),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28170, 28069])).
% 25.90/17.61 tff(28172,plain,
% 25.90/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28173,plain,
% 25.90/17.61 (((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0)) <=> ((~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28174,plain,
% 25.90/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0)))),
% 25.90/17.61 inference(monotonicity,[status(thm)],[28173])).
% 25.90/17.61 tff(28175,plain,
% 25.90/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))),
% 25.90/17.61 inference(transitivity,[status(thm)],[28174, 28172])).
% 25.90/17.61 tff(28176,plain,
% 25.90/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0))),
% 25.90/17.61 inference(quant_inst,[status(thm)],[])).
% 25.90/17.61 tff(28177,plain,
% 25.90/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0)),
% 25.90/17.61 inference(modus_ponens,[status(thm)],[28176, 28175])).
% 25.90/17.61 tff(28178,plain,
% 25.90/17.61 ((~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0)),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28177, 1993, 28097])).
% 25.90/17.61 tff(28179,plain,
% 25.90/17.61 ((~v90(constB190, bitIndex0)) | v90(constB191, bitIndex0)),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28178, 28109])).
% 25.90/17.61 tff(28180,plain,
% 25.90/17.61 (v90(constB191, bitIndex0)),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28179, 28171])).
% 25.90/17.61 tff(28181,plain,
% 25.90/17.61 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex1)) | v90(constB191, bitIndex2) | v122(constB191))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex1)) | v90(constB191, bitIndex2) | v122(constB191))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28182,plain,
% 25.90/17.61 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex1)) | v90(constB191, bitIndex2) | v122(constB191))),
% 25.90/17.61 inference(quant_inst,[status(thm)],[])).
% 25.90/17.61 tff(28183,plain,
% 25.90/17.61 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex1)) | v90(constB191, bitIndex2) | v122(constB191)),
% 25.90/17.61 inference(modus_ponens,[status(thm)],[28182, 28181])).
% 25.90/17.61 tff(28184,plain,
% 25.90/17.61 (v122(constB191)),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28183, 2641, 28180, 28149, 28118])).
% 25.90/17.61 tff(28185,plain,
% 25.90/17.61 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB191)) | v116(constB191))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB191)) | v116(constB191))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28186,plain,
% 25.90/17.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB191)) | v116(constB191))),
% 25.90/17.61 inference(quant_inst,[status(thm)],[])).
% 25.90/17.61 tff(28187,plain,
% 25.90/17.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB191)) | v116(constB191)),
% 25.90/17.61 inference(modus_ponens,[status(thm)],[28186, 28185])).
% 25.90/17.61 tff(28188,plain,
% 25.90/17.61 (v116(constB191)),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28187, 2652, 28184])).
% 25.90/17.61 tff(28189,plain,
% 25.90/17.61 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB191) | (~v116(constB191)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB191) | (~v116(constB191)))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28190,plain,
% 25.90/17.61 (((~v116(constB191)) | v115(constB191)) <=> (v115(constB191) | (~v116(constB191)))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28191,plain,
% 25.90/17.61 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB191)) | v115(constB191))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB191) | (~v116(constB191))))),
% 25.90/17.61 inference(monotonicity,[status(thm)],[28190])).
% 25.90/17.61 tff(28192,plain,
% 25.90/17.61 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB191)) | v115(constB191))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB191) | (~v116(constB191)))),
% 25.90/17.61 inference(transitivity,[status(thm)],[28191, 28189])).
% 25.90/17.61 tff(28193,plain,
% 25.90/17.61 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB191)) | v115(constB191))),
% 25.90/17.61 inference(quant_inst,[status(thm)],[])).
% 25.90/17.61 tff(28194,plain,
% 25.90/17.61 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB191) | (~v116(constB191))),
% 25.90/17.61 inference(modus_ponens,[status(thm)],[28193, 28192])).
% 25.90/17.61 tff(28195,plain,
% 25.90/17.61 (v115(constB191)),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28194, 1008, 28188])).
% 25.90/17.61 tff(28196,plain,
% 25.90/17.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB191) | (~v115(constB191)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB191) | (~v115(constB191)))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28197,plain,
% 25.90/17.61 (((~v115(constB191)) | v114(constB191)) <=> (v114(constB191) | (~v115(constB191)))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28198,plain,
% 25.90/17.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB191)) | v114(constB191))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB191) | (~v115(constB191))))),
% 25.90/17.61 inference(monotonicity,[status(thm)],[28197])).
% 25.90/17.61 tff(28199,plain,
% 25.90/17.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB191)) | v114(constB191))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB191) | (~v115(constB191)))),
% 25.90/17.61 inference(transitivity,[status(thm)],[28198, 28196])).
% 25.90/17.61 tff(28200,plain,
% 25.90/17.61 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB191)) | v114(constB191))),
% 25.90/17.61 inference(quant_inst,[status(thm)],[])).
% 25.90/17.61 tff(28201,plain,
% 25.90/17.61 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB191) | (~v115(constB191))),
% 25.90/17.61 inference(modus_ponens,[status(thm)],[28200, 28199])).
% 25.90/17.61 tff(28202,plain,
% 25.90/17.61 (v114(constB191)),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28201, 1022, 28195])).
% 25.90/17.61 tff(28203,plain,
% 25.90/17.61 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB191)) | v113(constB191))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB191)) | v113(constB191))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28204,plain,
% 25.90/17.61 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB191)) | v113(constB191))),
% 25.90/17.61 inference(quant_inst,[status(thm)],[])).
% 25.90/17.61 tff(28205,plain,
% 25.90/17.61 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB191)) | v113(constB191)),
% 25.90/17.61 inference(modus_ponens,[status(thm)],[28204, 28203])).
% 25.90/17.61 tff(28206,plain,
% 25.90/17.61 (v113(constB191)),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28205, 1036, 28202])).
% 25.90/17.61 tff(28207,assumption,(v26(constB191)), introduced(assumption)).
% 25.90/17.61 tff(28208,plain,
% 25.90/17.61 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB191))),
% 25.90/17.61 inference(quant_inst,[status(thm)],[])).
% 25.90/17.61 tff(28209,plain,
% 25.90/17.61 ($false),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28208, 797, 28207])).
% 25.90/17.61 tff(28210,plain,(~v26(constB191)), inference(lemma,lemma(discharge,[]))).
% 25.90/17.61 tff(28211,plain,
% 25.90/17.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | v112(constB191) | (~v113(constB191)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | v112(constB191) | (~v113(constB191)))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28212,plain,
% 25.90/17.61 ((v26(constB191) | (~v113(constB191)) | v112(constB191)) <=> (v26(constB191) | v112(constB191) | (~v113(constB191)))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28213,plain,
% 25.90/17.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | v112(constB191) | (~v113(constB191))))),
% 25.90/17.61 inference(monotonicity,[status(thm)],[28212])).
% 25.90/17.61 tff(28214,plain,
% 25.90/17.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | v112(constB191) | (~v113(constB191)))),
% 25.90/17.61 inference(transitivity,[status(thm)],[28213, 28211])).
% 25.90/17.61 tff(28215,plain,
% 25.90/17.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))),
% 25.90/17.61 inference(quant_inst,[status(thm)],[])).
% 25.90/17.61 tff(28216,plain,
% 25.90/17.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | v112(constB191) | (~v113(constB191))),
% 25.90/17.61 inference(modus_ponens,[status(thm)],[28215, 28214])).
% 25.90/17.61 tff(28217,plain,
% 25.90/17.61 (v112(constB191) | (~v113(constB191))),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28216, 1050, 28210])).
% 25.90/17.61 tff(28218,plain,
% 25.90/17.61 (v112(constB191)),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28217, 28206])).
% 25.90/17.61 tff(28219,plain,
% 25.90/17.61 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB191) | (~v112(constB191)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB191) | (~v112(constB191)))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28220,plain,
% 25.90/17.61 (((~v112(constB191)) | v108(constB191)) <=> (v108(constB191) | (~v112(constB191)))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28221,plain,
% 25.90/17.61 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB191)) | v108(constB191))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB191) | (~v112(constB191))))),
% 25.90/17.61 inference(monotonicity,[status(thm)],[28220])).
% 25.90/17.61 tff(28222,plain,
% 25.90/17.61 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB191)) | v108(constB191))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB191) | (~v112(constB191)))),
% 25.90/17.61 inference(transitivity,[status(thm)],[28221, 28219])).
% 25.90/17.61 tff(28223,plain,
% 25.90/17.61 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB191)) | v108(constB191))),
% 25.90/17.61 inference(quant_inst,[status(thm)],[])).
% 25.90/17.61 tff(28224,plain,
% 25.90/17.61 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB191) | (~v112(constB191))),
% 25.90/17.61 inference(modus_ponens,[status(thm)],[28223, 28222])).
% 25.90/17.61 tff(28225,plain,
% 25.90/17.61 (v108(constB191)),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28224, 1062, 28218])).
% 25.90/17.61 tff(28226,plain,
% 25.90/17.61 (nextState(constB191, constB192) <=> nextState(constB191, constB192)),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28227,axiom,(nextState(constB191, constB192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_191_1')).
% 25.90/17.61 tff(28228,plain,
% 25.90/17.61 (nextState(constB191, constB192)),
% 25.90/17.61 inference(modus_ponens,[status(thm)],[28227, 28226])).
% 25.90/17.61 tff(28229,plain,
% 25.90/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28230,plain,
% 25.90/17.61 (((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192)) <=> ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28231,plain,
% 25.90/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191))))),
% 25.90/17.61 inference(monotonicity,[status(thm)],[28230])).
% 25.90/17.61 tff(28232,plain,
% 25.90/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 25.90/17.61 inference(transitivity,[status(thm)],[28231, 28229])).
% 25.90/17.61 tff(28233,plain,
% 25.90/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))),
% 25.90/17.61 inference(quant_inst,[status(thm)],[])).
% 25.90/17.61 tff(28234,plain,
% 25.90/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191))),
% 25.90/17.61 inference(modus_ponens,[status(thm)],[28233, 28232])).
% 25.90/17.61 tff(28235,plain,
% 25.90/17.61 (v110(constB192) | (~v108(constB191))),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28234, 1082, 28228])).
% 25.90/17.61 tff(28236,plain,
% 25.90/17.61 (v110(constB192)),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28235, 28225])).
% 25.90/17.61 tff(28237,plain,
% 25.90/17.61 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28238,plain,
% 25.90/17.61 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))),
% 25.90/17.61 inference(quant_inst,[status(thm)],[])).
% 25.90/17.61 tff(28239,plain,
% 25.90/17.61 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192))),
% 25.90/17.61 inference(modus_ponens,[status(thm)],[28238, 28237])).
% 25.90/17.61 tff(28240,plain,
% 25.90/17.61 (~v104(constB192)),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28239, 1100, 28228, 28094])).
% 25.90/17.61 tff(28241,plain,
% 25.90/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28242,plain,
% 25.90/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))),
% 25.90/17.61 inference(quant_inst,[status(thm)],[])).
% 25.90/17.61 tff(28243,plain,
% 25.90/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB191, constB192)) | v102(constB192) | v104(constB192)),
% 25.90/17.61 inference(modus_ponens,[status(thm)],[28242, 28241])).
% 25.90/17.61 tff(28244,plain,
% 25.90/17.61 (v102(constB192) | v104(constB192)),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28243, 1114, 28228])).
% 25.90/17.61 tff(28245,plain,
% 25.90/17.61 (v102(constB192)),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28244, 28240])).
% 25.90/17.61 tff(28246,plain,
% 25.90/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28247,plain,
% 25.90/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))),
% 25.90/17.61 inference(quant_inst,[status(thm)],[])).
% 25.90/17.61 tff(28248,plain,
% 25.90/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192))),
% 25.90/17.61 inference(modus_ponens,[status(thm)],[28247, 28246])).
% 25.90/17.61 tff(28249,plain,
% 25.90/17.61 (v101(constB192) | (~v102(constB192))),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28248, 1129, 28228, 570])).
% 25.90/17.61 tff(28250,plain,
% 25.90/17.61 (v101(constB192)),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28249, 28245])).
% 25.90/17.61 tff(28251,plain,
% 25.90/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28252,plain,
% 25.90/17.61 (((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192)) <=> ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28253,plain,
% 25.90/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192))))),
% 25.90/17.61 inference(monotonicity,[status(thm)],[28252])).
% 25.90/17.61 tff(28254,plain,
% 25.90/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 25.90/17.61 inference(transitivity,[status(thm)],[28253, 28251])).
% 25.90/17.61 tff(28255,plain,
% 25.90/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))),
% 25.90/17.61 inference(quant_inst,[status(thm)],[])).
% 25.90/17.61 tff(28256,plain,
% 25.90/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192))),
% 25.90/17.61 inference(modus_ponens,[status(thm)],[28255, 28254])).
% 25.90/17.61 tff(28257,plain,
% 25.90/17.61 (v100(constB192) | (~v101(constB192)) | (~v110(constB192))),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28256, 1144, 28228])).
% 25.90/17.61 tff(28258,plain,
% 25.90/17.61 (v100(constB192) | (~v110(constB192))),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28257, 28250])).
% 25.90/17.61 tff(28259,plain,
% 25.90/17.61 (v100(constB192)),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28258, 28236])).
% 25.90/17.61 tff(28260,plain,
% 25.90/17.61 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB191)) | v130(constB191, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB191)) | v130(constB191, bitIndex2))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28261,plain,
% 25.90/17.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB191)) | v130(constB191, bitIndex2))),
% 25.90/17.61 inference(quant_inst,[status(thm)],[])).
% 25.90/17.61 tff(28262,plain,
% 25.90/17.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB191)) | v130(constB191, bitIndex2)),
% 25.90/17.61 inference(modus_ponens,[status(thm)],[28261, 28260])).
% 25.90/17.61 tff(28263,plain,
% 25.90/17.61 (v130(constB191, bitIndex2)),
% 25.90/17.61 inference(unit_resolution,[status(thm)],[28262, 2736, 28184])).
% 25.90/17.61 tff(28264,plain,
% 25.90/17.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2))),
% 25.90/17.61 inference(rewrite,[status(thm)],[])).
% 25.90/17.61 tff(28265,plain,
% 25.90/17.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2))),
% 25.90/17.61 inference(quant_inst,[status(thm)],[])).
% 25.90/17.61 tff(28266,plain,
% 25.90/17.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2)),
% 25.90/17.61 inference(modus_ponens,[status(thm)],[28265, 28264])).
% 25.90/17.62 tff(28267,plain,
% 25.90/17.62 ((~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2)),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28266, 1174, 28210])).
% 25.90/17.62 tff(28268,plain,
% 25.90/17.62 (v127(constB191, bitIndex2)),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28267, 28263])).
% 25.90/17.62 tff(28269,plain,
% 25.90/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2))),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28270,plain,
% 25.90/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2))),
% 25.90/17.62 inference(quant_inst,[status(thm)],[])).
% 25.90/17.62 tff(28271,plain,
% 25.90/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2)),
% 25.90/17.62 inference(modus_ponens,[status(thm)],[28270, 28269])).
% 25.90/17.62 tff(28272,plain,
% 25.90/17.62 ((~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2)),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28271, 1189, 28228])).
% 25.90/17.62 tff(28273,plain,
% 25.90/17.62 (v129(constB192, bitIndex2)),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28272, 28268])).
% 25.90/17.62 tff(28274,plain,
% 25.90/17.62 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28275,plain,
% 25.90/17.62 ((v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2))) <=> (v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28276,plain,
% 25.90/17.62 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192))))),
% 25.90/17.62 inference(monotonicity,[status(thm)],[28275])).
% 25.90/17.62 tff(28277,plain,
% 25.90/17.62 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))),
% 25.90/17.62 inference(transitivity,[status(thm)],[28276, 28274])).
% 25.90/17.62 tff(28278,plain,
% 25.90/17.62 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2)))),
% 25.90/17.62 inference(quant_inst,[status(thm)],[])).
% 25.90/17.62 tff(28279,plain,
% 25.90/17.62 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192))),
% 25.90/17.62 inference(modus_ponens,[status(thm)],[28278, 28277])).
% 25.90/17.62 tff(28280,plain,
% 25.90/17.62 (v90(constB192, bitIndex2) | (~v100(constB192))),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28279, 1204, 28273])).
% 25.90/17.62 tff(28281,plain,
% 25.90/17.62 (v90(constB192, bitIndex2)),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28280, 28259])).
% 25.90/17.62 tff(28282,plain,
% 25.90/17.62 ((~v1(constB193)) <=> (~v1(constB193))),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28283,axiom,(~v1(constB193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_193_1_1')).
% 25.90/17.62 tff(28284,plain,
% 25.90/17.62 (~v1(constB193)),
% 25.90/17.62 inference(modus_ponens,[status(thm)],[28283, 28282])).
% 25.90/17.62 tff(28285,plain,
% 25.90/17.62 (nextState(constB192, constB193) <=> nextState(constB192, constB193)),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28286,axiom,(nextState(constB192, constB193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_192_1')).
% 25.90/17.62 tff(28287,plain,
% 25.90/17.62 (nextState(constB192, constB193)),
% 25.90/17.62 inference(modus_ponens,[status(thm)],[28286, 28285])).
% 25.90/17.62 tff(28288,plain,
% 25.90/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28289,plain,
% 25.90/17.62 (((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193)) <=> (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28290,plain,
% 25.90/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193))))),
% 25.90/17.62 inference(monotonicity,[status(thm)],[28289])).
% 25.90/17.62 tff(28291,plain,
% 25.90/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 25.90/17.62 inference(transitivity,[status(thm)],[28290, 28288])).
% 25.90/17.62 tff(28292,plain,
% 25.90/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))),
% 25.90/17.62 inference(quant_inst,[status(thm)],[])).
% 25.90/17.62 tff(28293,plain,
% 25.90/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193))),
% 25.90/17.62 inference(modus_ponens,[status(thm)],[28292, 28291])).
% 25.90/17.62 tff(28294,plain,
% 25.90/17.62 (~v101(constB193)),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28293, 860, 28287, 28284])).
% 25.90/17.62 tff(28295,plain,
% 25.90/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28296,plain,
% 25.90/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))),
% 25.90/17.62 inference(quant_inst,[status(thm)],[])).
% 25.90/17.62 tff(28297,plain,
% 25.90/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193))),
% 25.90/17.62 inference(modus_ponens,[status(thm)],[28296, 28295])).
% 25.90/17.62 tff(28298,plain,
% 25.90/17.62 (v101(constB193) | (~v100(constB193))),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28297, 877, 28287])).
% 25.90/17.62 tff(28299,plain,
% 25.90/17.62 (~v100(constB193)),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28298, 28294])).
% 25.90/17.62 tff(28300,plain,
% 25.90/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28301,plain,
% 25.90/17.62 (((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2)) <=> ((~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28302,plain,
% 25.90/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2)))),
% 25.90/17.62 inference(monotonicity,[status(thm)],[28301])).
% 25.90/17.62 tff(28303,plain,
% 25.90/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))),
% 25.90/17.62 inference(transitivity,[status(thm)],[28302, 28300])).
% 25.90/17.62 tff(28304,plain,
% 25.90/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2))),
% 25.90/17.62 inference(quant_inst,[status(thm)],[])).
% 25.90/17.62 tff(28305,plain,
% 25.90/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2)),
% 25.90/17.62 inference(modus_ponens,[status(thm)],[28304, 28303])).
% 25.90/17.62 tff(28306,plain,
% 25.90/17.62 ((~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2)),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28305, 1240, 28287])).
% 25.90/17.62 tff(28307,plain,
% 25.90/17.62 ((~v90(constB192, bitIndex2)) | v90(constB193, bitIndex2)),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28306, 28299])).
% 25.90/17.62 tff(28308,plain,
% 25.90/17.62 (v90(constB193, bitIndex2)),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28307, 28281])).
% 25.90/17.62 tff(28309,plain,
% 25.90/17.62 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB193, bitIndex2)) | v88(constB193, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB193, bitIndex2)) | v88(constB193, bitIndex2))),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28310,plain,
% 25.90/17.62 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB193, bitIndex2)) | v88(constB193, bitIndex2))),
% 25.90/17.62 inference(quant_inst,[status(thm)],[])).
% 25.90/17.62 tff(28311,plain,
% 25.90/17.62 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB193, bitIndex2)) | v88(constB193, bitIndex2)),
% 25.90/17.62 inference(modus_ponens,[status(thm)],[28310, 28309])).
% 25.90/17.62 tff(28312,plain,
% 25.90/17.62 (v88(constB193, bitIndex2)),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28311, 23683, 28308])).
% 25.90/17.62 tff(28313,plain,
% 25.90/17.62 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v139(constB193)) | (~v88(constB193, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v139(constB193)) | (~v88(constB193, bitIndex2)))),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28314,plain,
% 25.90/17.62 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v139(constB193)) | (~v88(constB193, bitIndex2)))),
% 25.90/17.62 inference(quant_inst,[status(thm)],[])).
% 25.90/17.62 tff(28315,plain,
% 25.90/17.62 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v139(constB193)) | (~v88(constB193, bitIndex2))),
% 25.90/17.62 inference(modus_ponens,[status(thm)],[28314, 28313])).
% 25.90/17.62 tff(28316,plain,
% 25.90/17.62 (~v139(constB193)),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28315, 23694, 28312])).
% 25.90/17.62 tff(28317,plain,
% 25.90/17.62 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v140(constB193)) | (~v88(constB193, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v140(constB193)) | (~v88(constB193, bitIndex2)))),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28318,plain,
% 25.90/17.62 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v140(constB193)) | (~v88(constB193, bitIndex2)))),
% 25.90/17.62 inference(quant_inst,[status(thm)],[])).
% 25.90/17.62 tff(28319,plain,
% 25.90/17.62 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v140(constB193)) | (~v88(constB193, bitIndex2))),
% 25.90/17.62 inference(modus_ponens,[status(thm)],[28318, 28317])).
% 25.90/17.62 tff(28320,plain,
% 25.90/17.62 (~v140(constB193)),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28319, 23705, 28312])).
% 25.90/17.62 tff(28321,plain,
% 25.90/17.62 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB193) | v140(constB193) | (~v170(constB193)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB193) | v140(constB193) | (~v170(constB193)))),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28322,plain,
% 25.90/17.62 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB193) | v140(constB193) | (~v170(constB193)))),
% 25.90/17.62 inference(quant_inst,[status(thm)],[])).
% 25.90/17.62 tff(28323,plain,
% 25.90/17.62 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB193) | v140(constB193) | (~v170(constB193))),
% 25.90/17.62 inference(modus_ponens,[status(thm)],[28322, 28321])).
% 25.90/17.62 tff(28324,plain,
% 25.90/17.62 (~v170(constB193)),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28323, 23719, 28320, 28316])).
% 25.90/17.62 tff(28325,plain,
% 25.90/17.62 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB191)) | (~v130(constB191, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB191)) | (~v130(constB191, bitIndex1)))),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28326,plain,
% 25.90/17.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB191)) | (~v130(constB191, bitIndex1)))),
% 25.90/17.62 inference(quant_inst,[status(thm)],[])).
% 25.90/17.62 tff(28327,plain,
% 25.90/17.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB191)) | (~v130(constB191, bitIndex1))),
% 25.90/17.62 inference(modus_ponens,[status(thm)],[28326, 28325])).
% 25.90/17.62 tff(28328,plain,
% 25.90/17.62 (~v130(constB191, bitIndex1)),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28327, 2792, 28184])).
% 25.90/17.62 tff(28329,plain,
% 25.90/17.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB191, bitIndex1)) | v26(constB191) | v130(constB191, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB191, bitIndex1)) | v26(constB191) | v130(constB191, bitIndex1))),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28330,plain,
% 25.90/17.62 ((v26(constB191) | v130(constB191, bitIndex1) | (~v127(constB191, bitIndex1))) <=> ((~v127(constB191, bitIndex1)) | v26(constB191) | v130(constB191, bitIndex1))),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28331,plain,
% 25.90/17.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB191) | v130(constB191, bitIndex1) | (~v127(constB191, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB191, bitIndex1)) | v26(constB191) | v130(constB191, bitIndex1)))),
% 25.90/17.62 inference(monotonicity,[status(thm)],[28330])).
% 25.90/17.62 tff(28332,plain,
% 25.90/17.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB191) | v130(constB191, bitIndex1) | (~v127(constB191, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB191, bitIndex1)) | v26(constB191) | v130(constB191, bitIndex1))),
% 25.90/17.62 inference(transitivity,[status(thm)],[28331, 28329])).
% 25.90/17.62 tff(28333,plain,
% 25.90/17.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB191) | v130(constB191, bitIndex1) | (~v127(constB191, bitIndex1)))),
% 25.90/17.62 inference(quant_inst,[status(thm)],[])).
% 25.90/17.62 tff(28334,plain,
% 25.90/17.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB191, bitIndex1)) | v26(constB191) | v130(constB191, bitIndex1)),
% 25.90/17.62 inference(modus_ponens,[status(thm)],[28333, 28332])).
% 25.90/17.62 tff(28335,plain,
% 25.90/17.62 ((~v127(constB191, bitIndex1)) | v130(constB191, bitIndex1)),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28334, 1270, 28210])).
% 25.90/17.62 tff(28336,plain,
% 25.90/17.62 (~v127(constB191, bitIndex1)),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28335, 28328])).
% 25.90/17.62 tff(28337,plain,
% 25.90/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB191, constB192)) | v127(constB191, bitIndex1) | (~v129(constB192, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB191, constB192)) | v127(constB191, bitIndex1) | (~v129(constB192, bitIndex1)))),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28338,plain,
% 25.90/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB191, constB192)) | v127(constB191, bitIndex1) | (~v129(constB192, bitIndex1)))),
% 25.90/17.62 inference(quant_inst,[status(thm)],[])).
% 25.90/17.62 tff(28339,plain,
% 25.90/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB191, constB192)) | v127(constB191, bitIndex1) | (~v129(constB192, bitIndex1))),
% 25.90/17.62 inference(modus_ponens,[status(thm)],[28338, 28337])).
% 25.90/17.62 tff(28340,plain,
% 25.90/17.62 (v127(constB191, bitIndex1) | (~v129(constB192, bitIndex1))),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28339, 1288, 28228])).
% 25.90/17.62 tff(28341,plain,
% 25.90/17.62 (~v129(constB192, bitIndex1)),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28340, 28336])).
% 25.90/17.62 tff(28342,plain,
% 25.90/17.62 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB192, bitIndex1)) | v129(constB192, bitIndex1) | (~v100(constB192)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB192, bitIndex1)) | v129(constB192, bitIndex1) | (~v100(constB192)))),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28343,plain,
% 25.90/17.62 (((~v90(constB192, bitIndex1)) | (~v100(constB192)) | v129(constB192, bitIndex1)) <=> ((~v90(constB192, bitIndex1)) | v129(constB192, bitIndex1) | (~v100(constB192)))),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28344,plain,
% 25.90/17.62 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB192, bitIndex1)) | (~v100(constB192)) | v129(constB192, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB192, bitIndex1)) | v129(constB192, bitIndex1) | (~v100(constB192))))),
% 25.90/17.62 inference(monotonicity,[status(thm)],[28343])).
% 25.90/17.62 tff(28345,plain,
% 25.90/17.62 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB192, bitIndex1)) | (~v100(constB192)) | v129(constB192, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB192, bitIndex1)) | v129(constB192, bitIndex1) | (~v100(constB192)))),
% 25.90/17.62 inference(transitivity,[status(thm)],[28344, 28342])).
% 25.90/17.62 tff(28346,plain,
% 25.90/17.62 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB192, bitIndex1)) | (~v100(constB192)) | v129(constB192, bitIndex1))),
% 25.90/17.62 inference(quant_inst,[status(thm)],[])).
% 25.90/17.62 tff(28347,plain,
% 25.90/17.62 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB192, bitIndex1)) | v129(constB192, bitIndex1) | (~v100(constB192))),
% 25.90/17.62 inference(modus_ponens,[status(thm)],[28346, 28345])).
% 25.90/17.62 tff(28348,plain,
% 25.90/17.62 ((~v90(constB192, bitIndex1)) | (~v100(constB192))),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28347, 1303, 28341])).
% 25.90/17.62 tff(28349,plain,
% 25.90/17.62 (~v90(constB192, bitIndex1)),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28348, 28259])).
% 25.90/17.62 tff(28350,plain,
% 25.90/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB192, bitIndex1) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB192, bitIndex1) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex1)))),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28351,plain,
% 25.90/17.62 (((~nextState(constB192, constB193)) | v90(constB192, bitIndex1) | v100(constB193) | (~v90(constB193, bitIndex1))) <=> (v90(constB192, bitIndex1) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex1)))),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28352,plain,
% 25.90/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB192, constB193)) | v90(constB192, bitIndex1) | v100(constB193) | (~v90(constB193, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB192, bitIndex1) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex1))))),
% 25.90/17.62 inference(monotonicity,[status(thm)],[28351])).
% 25.90/17.62 tff(28353,plain,
% 25.90/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB192, constB193)) | v90(constB192, bitIndex1) | v100(constB193) | (~v90(constB193, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB192, bitIndex1) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex1)))),
% 25.90/17.62 inference(transitivity,[status(thm)],[28352, 28350])).
% 25.90/17.62 tff(28354,plain,
% 25.90/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB192, constB193)) | v90(constB192, bitIndex1) | v100(constB193) | (~v90(constB193, bitIndex1)))),
% 25.90/17.62 inference(quant_inst,[status(thm)],[])).
% 25.90/17.62 tff(28355,plain,
% 25.90/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB192, bitIndex1) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex1))),
% 25.90/17.62 inference(modus_ponens,[status(thm)],[28354, 28353])).
% 25.90/17.62 tff(28356,plain,
% 25.90/17.62 (v90(constB192, bitIndex1) | v100(constB193) | (~v90(constB193, bitIndex1))),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28355, 913, 28287])).
% 25.90/17.62 tff(28357,plain,
% 25.90/17.62 (v90(constB192, bitIndex1) | (~v90(constB193, bitIndex1))),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28356, 28299])).
% 25.90/17.62 tff(28358,plain,
% 25.90/17.62 (~v90(constB193, bitIndex1)),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28357, 28349])).
% 25.90/17.62 tff(28359,plain,
% 25.90/17.62 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB193, bitIndex1)) | v90(constB193, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB193, bitIndex1)) | v90(constB193, bitIndex1))),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28360,plain,
% 25.90/17.62 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB193, bitIndex1)) | v90(constB193, bitIndex1))),
% 25.90/17.62 inference(quant_inst,[status(thm)],[])).
% 25.90/17.62 tff(28361,plain,
% 25.90/17.62 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB193, bitIndex1)) | v90(constB193, bitIndex1)),
% 25.90/17.62 inference(modus_ponens,[status(thm)],[28360, 28359])).
% 25.90/17.62 tff(28362,plain,
% 25.90/17.62 (~v88(constB193, bitIndex1)),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28361, 23764, 28358])).
% 25.90/17.62 tff(28363,plain,
% 25.90/17.62 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB191)) | (~v130(constB191, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB191)) | (~v130(constB191, bitIndex0)))),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28364,plain,
% 25.90/17.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB191)) | (~v130(constB191, bitIndex0)))),
% 25.90/17.62 inference(quant_inst,[status(thm)],[])).
% 25.90/17.62 tff(28365,plain,
% 25.90/17.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB191)) | (~v130(constB191, bitIndex0))),
% 25.90/17.62 inference(modus_ponens,[status(thm)],[28364, 28363])).
% 25.90/17.62 tff(28366,plain,
% 25.90/17.62 (~v130(constB191, bitIndex0)),
% 25.90/17.62 inference(unit_resolution,[status(thm)],[28365, 2833, 28184])).
% 25.90/17.62 tff(28367,plain,
% 25.90/17.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28368,plain,
% 25.90/17.62 ((v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0))) <=> ((~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))),
% 25.90/17.62 inference(rewrite,[status(thm)],[])).
% 25.90/17.62 tff(28369,plain,
% 25.90/17.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0)))),
% 25.90/17.62 inference(monotonicity,[status(thm)],[28368])).
% 25.90/17.62 tff(28370,plain,
% 25.90/17.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))),
% 25.90/17.62 inference(transitivity,[status(thm)],[28369, 28367])).
% 25.90/17.63 tff(28371,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28372,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0)),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28371, 28370])).
% 25.90/17.63 tff(28373,plain,
% 25.90/17.63 ((~v127(constB191, bitIndex0)) | v130(constB191, bitIndex0)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28372, 1341, 28210])).
% 25.90/17.63 tff(28374,plain,
% 25.90/17.63 (~v127(constB191, bitIndex0)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28373, 28366])).
% 25.90/17.63 tff(28375,plain,
% 25.90/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28376,plain,
% 25.90/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28377,plain,
% 25.90/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28376, 28375])).
% 25.90/17.63 tff(28378,plain,
% 25.90/17.63 (v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0))),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28377, 1359, 28228])).
% 25.90/17.63 tff(28379,plain,
% 25.90/17.63 (~v129(constB192, bitIndex0)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28378, 28374])).
% 25.90/17.63 tff(28380,plain,
% 25.90/17.63 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28381,plain,
% 25.90/17.63 (((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0)) <=> ((~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28382,plain,
% 25.90/17.63 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192))))),
% 25.90/17.63 inference(monotonicity,[status(thm)],[28381])).
% 25.90/17.63 tff(28383,plain,
% 25.90/17.63 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))),
% 25.90/17.63 inference(transitivity,[status(thm)],[28382, 28380])).
% 25.90/17.63 tff(28384,plain,
% 25.90/17.63 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28385,plain,
% 25.90/17.63 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28384, 28383])).
% 25.90/17.63 tff(28386,plain,
% 25.90/17.63 ((~v90(constB192, bitIndex0)) | (~v100(constB192))),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28385, 1374, 28379])).
% 25.90/17.63 tff(28387,plain,
% 25.90/17.63 (~v90(constB192, bitIndex0)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28386, 28259])).
% 25.90/17.63 tff(28388,plain,
% 25.90/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28389,plain,
% 25.90/17.63 (((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0))) <=> (v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28390,plain,
% 25.90/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0))))),
% 25.90/17.63 inference(monotonicity,[status(thm)],[28389])).
% 25.90/17.63 tff(28391,plain,
% 25.90/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 25.90/17.63 inference(transitivity,[status(thm)],[28390, 28388])).
% 25.90/17.63 tff(28392,plain,
% 25.90/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28393,plain,
% 25.90/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28392, 28391])).
% 25.90/17.63 tff(28394,plain,
% 25.90/17.63 (v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0))),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28393, 934, 28287])).
% 25.90/17.63 tff(28395,plain,
% 25.90/17.63 (v90(constB192, bitIndex0) | (~v90(constB193, bitIndex0))),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28394, 28299])).
% 25.90/17.63 tff(28396,plain,
% 25.90/17.63 (~v90(constB193, bitIndex0)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28395, 28387])).
% 25.90/17.63 tff(28397,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB193, bitIndex0)) | v90(constB193, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB193, bitIndex0)) | v90(constB193, bitIndex0))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28398,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB193, bitIndex0)) | v90(constB193, bitIndex0))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28399,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB193, bitIndex0)) | v90(constB193, bitIndex0)),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28398, 28397])).
% 25.90/17.63 tff(28400,plain,
% 25.90/17.63 (~v88(constB193, bitIndex0)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28399, 23809, 28396])).
% 25.90/17.63 tff(28401,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB193, bitIndex0) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex1) | v146(constB193))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB193, bitIndex0) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex1) | v146(constB193))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28402,plain,
% 25.90/17.63 (((~v88(constB193, bitIndex2)) | v88(constB193, bitIndex1) | v88(constB193, bitIndex0) | v146(constB193)) <=> (v88(constB193, bitIndex0) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex1) | v146(constB193))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28403,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB193, bitIndex2)) | v88(constB193, bitIndex1) | v88(constB193, bitIndex0) | v146(constB193))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB193, bitIndex0) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex1) | v146(constB193)))),
% 25.90/17.63 inference(monotonicity,[status(thm)],[28402])).
% 25.90/17.63 tff(28404,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB193, bitIndex2)) | v88(constB193, bitIndex1) | v88(constB193, bitIndex0) | v146(constB193))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB193, bitIndex0) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex1) | v146(constB193))),
% 25.90/17.63 inference(transitivity,[status(thm)],[28403, 28401])).
% 25.90/17.63 tff(28405,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB193, bitIndex2)) | v88(constB193, bitIndex1) | v88(constB193, bitIndex0) | v146(constB193))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28406,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB193, bitIndex0) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex1) | v146(constB193)),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28405, 28404])).
% 25.90/17.63 tff(28407,plain,
% 25.90/17.63 (v146(constB193)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28406, 23823, 28312, 28400, 28362])).
% 25.90/17.63 tff(28408,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB193) | (~v146(constB193)))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB193) | (~v146(constB193)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28409,plain,
% 25.90/17.63 (((~v146(constB193)) | v145(constB193)) <=> (v145(constB193) | (~v146(constB193)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28410,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB193)) | v145(constB193))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB193) | (~v146(constB193))))),
% 25.90/17.63 inference(monotonicity,[status(thm)],[28409])).
% 25.90/17.63 tff(28411,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB193)) | v145(constB193))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB193) | (~v146(constB193)))),
% 25.90/17.63 inference(transitivity,[status(thm)],[28410, 28408])).
% 25.90/17.63 tff(28412,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB193)) | v145(constB193))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28413,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB193) | (~v146(constB193))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28412, 28411])).
% 25.90/17.63 tff(28414,plain,
% 25.90/17.63 (v145(constB193)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28413, 23837, 28407])).
% 25.90/17.63 tff(28415,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | (v166(constB193) | (~v145(constB193)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB193) | (~v145(constB193)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28416,plain,
% 25.90/17.63 (((~v145(constB193)) | v166(constB193)) <=> (v166(constB193) | (~v145(constB193)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28417,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB193)) | v166(constB193))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | (v166(constB193) | (~v145(constB193))))),
% 25.90/17.63 inference(monotonicity,[status(thm)],[28416])).
% 25.90/17.63 tff(28418,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB193)) | v166(constB193))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB193) | (~v145(constB193)))),
% 25.90/17.63 inference(transitivity,[status(thm)],[28417, 28415])).
% 25.90/17.63 tff(28419,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB193)) | v166(constB193))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28420,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB193) | (~v145(constB193))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28419, 28418])).
% 25.90/17.63 tff(28421,plain,
% 25.90/17.63 (v166(constB193)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28420, 23851, 28414])).
% 25.90/17.63 tff(28422,plain,
% 25.90/17.63 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB193)) | v170(constB193) | (~v166(constB193)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB193)) | v170(constB193) | (~v166(constB193)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28423,plain,
% 25.90/17.63 (((~v166(constB193)) | v170(constB193) | (~v163(constB193))) <=> ((~v163(constB193)) | v170(constB193) | (~v166(constB193)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28424,plain,
% 25.90/17.63 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB193)) | v170(constB193) | (~v163(constB193)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB193)) | v170(constB193) | (~v166(constB193))))),
% 25.90/17.63 inference(monotonicity,[status(thm)],[28423])).
% 25.90/17.63 tff(28425,plain,
% 25.90/17.63 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB193)) | v170(constB193) | (~v163(constB193)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB193)) | v170(constB193) | (~v166(constB193)))),
% 25.90/17.63 inference(transitivity,[status(thm)],[28424, 28422])).
% 25.90/17.63 tff(28426,plain,
% 25.90/17.63 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB193)) | v170(constB193) | (~v163(constB193)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28427,plain,
% 25.90/17.63 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB193)) | v170(constB193) | (~v166(constB193))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28426, 28425])).
% 25.90/17.63 tff(28428,plain,
% 25.90/17.63 (~v163(constB193)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28427, 23868, 28421, 28324])).
% 25.90/17.63 tff(28429,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB193) | (~v184(constB193)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB193) | (~v184(constB193)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28430,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB193) | (~v184(constB193)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28431,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB193) | (~v184(constB193))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28430, 28429])).
% 25.90/17.63 tff(28432,plain,
% 25.90/17.63 (~v184(constB193)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28431, 23885, 28428])).
% 25.90/17.63 tff(28433,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB193) | (~v180(constB193)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB193) | (~v180(constB193)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28434,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB193) | (~v180(constB193)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28435,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB193) | (~v180(constB193))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28434, 28433])).
% 25.90/17.63 tff(28436,plain,
% 25.90/17.63 (~v180(constB193)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28435, 23899, 28432])).
% 25.90/17.63 tff(28437,plain,
% 25.90/17.63 (nextState(constB193, constB194) <=> nextState(constB193, constB194)),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28438,axiom,(nextState(constB193, constB194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_193_1')).
% 25.90/17.63 tff(28439,plain,
% 25.90/17.63 (nextState(constB193, constB194)),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28438, 28437])).
% 25.90/17.63 tff(28440,plain,
% 25.90/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB193, constB194)) | v180(constB193) | (~v182(constB194)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB193, constB194)) | v180(constB193) | (~v182(constB194)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28441,plain,
% 25.90/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB193, constB194)) | v180(constB193) | (~v182(constB194)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28442,plain,
% 25.90/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB193, constB194)) | v180(constB193) | (~v182(constB194))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28441, 28440])).
% 25.90/17.63 tff(28443,plain,
% 25.90/17.63 (v180(constB193) | (~v182(constB194))),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28442, 23916, 28439])).
% 25.90/17.63 tff(28444,plain,
% 25.90/17.63 (~v182(constB194)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28443, 28436])).
% 25.90/17.63 tff(28445,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB194) | (~v196(constB194)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB194) | (~v196(constB194)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28446,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB194) | (~v196(constB194)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28447,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB194) | (~v196(constB194))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28446, 28445])).
% 25.90/17.63 tff(28448,plain,
% 25.90/17.63 (~v196(constB194)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28447, 23931, 28444])).
% 25.90/17.63 tff(28449,assumption,(v18(constB194)), introduced(assumption)).
% 25.90/17.63 tff(28450,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB194))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28451,plain,
% 25.90/17.63 ($false),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28450, 16985, 28449])).
% 25.90/17.63 tff(28452,plain,(~v18(constB194)), inference(lemma,lemma(discharge,[]))).
% 25.90/17.63 tff(28453,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB194) | (~v1(constB194)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB194) | (~v1(constB194)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28454,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB194) | (~v1(constB194)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28455,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB194) | (~v1(constB194))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28454, 28453])).
% 25.90/17.63 tff(28456,plain,
% 25.90/17.63 (v22(constB194)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28455, 16998, 20])).
% 25.90/17.63 tff(28457,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB194) | (~v22(constB194)) | (~v19(constB194)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB194) | (~v22(constB194)) | (~v19(constB194)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28458,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB194) | (~v22(constB194)) | (~v19(constB194)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28459,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB194) | (~v22(constB194)) | (~v19(constB194))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28458, 28457])).
% 25.90/17.63 tff(28460,plain,
% 25.90/17.63 (v18(constB194) | (~v19(constB194))),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28459, 17012, 28456])).
% 25.90/17.63 tff(28461,plain,
% 25.90/17.63 (~v19(constB194)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28460, 28452])).
% 25.90/17.63 tff(28462,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB194) | v19(constB194))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB194) | v19(constB194))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28463,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB194) | v19(constB194))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28464,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB194) | v19(constB194)),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28463, 28462])).
% 25.90/17.63 tff(28465,plain,
% 25.90/17.63 (v13(constB194)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28464, 17024, 28461])).
% 25.90/17.63 tff(28466,plain,
% 25.90/17.63 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB193) | (~v13(constB194)) | (~nextState(constB193, constB194)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB193) | (~v13(constB194)) | (~nextState(constB193, constB194)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28467,plain,
% 25.90/17.63 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB193) | (~v13(constB194)) | (~nextState(constB193, constB194)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28468,plain,
% 25.90/17.63 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB193) | (~v13(constB194)) | (~nextState(constB193, constB194))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28467, 28466])).
% 25.90/17.63 tff(28469,plain,
% 25.90/17.63 (v9(constB193) | (~v13(constB194))),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28468, 17041, 28439])).
% 25.90/17.63 tff(28470,plain,
% 25.90/17.63 (v9(constB193)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28469, 28465])).
% 25.90/17.63 tff(28471,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB193) | (~v9(constB193)) | v185(constB193))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB193) | (~v9(constB193)) | v185(constB193))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28472,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB193) | (~v9(constB193)) | v185(constB193))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28473,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB193) | (~v9(constB193)) | v185(constB193)),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28472, 28471])).
% 25.90/17.63 tff(28474,plain,
% 25.90/17.63 ((~v9(constB193)) | v185(constB193)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28473, 23970, 28284])).
% 25.90/17.63 tff(28475,plain,
% 25.90/17.63 (v185(constB193)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28474, 28470])).
% 25.90/17.63 tff(28476,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (v195(constB193) | (~v185(constB193)))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB193) | (~v185(constB193)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28477,plain,
% 25.90/17.63 (((~v185(constB193)) | v195(constB193)) <=> (v195(constB193) | (~v185(constB193)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28478,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB193)) | v195(constB193))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (v195(constB193) | (~v185(constB193))))),
% 25.90/17.63 inference(monotonicity,[status(thm)],[28477])).
% 25.90/17.63 tff(28479,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB193)) | v195(constB193))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB193) | (~v185(constB193)))),
% 25.90/17.63 inference(transitivity,[status(thm)],[28478, 28476])).
% 25.90/17.63 tff(28480,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB193)) | v195(constB193))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28481,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB193) | (~v185(constB193))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28480, 28479])).
% 25.90/17.63 tff(28482,plain,
% 25.90/17.63 (v195(constB193)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28481, 23982, 28475])).
% 25.90/17.63 tff(28483,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB193)) | (~v195(constB193)))) <=> ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB193)) | (~v195(constB193)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28484,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB193)) | (~v195(constB193)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28485,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB193)) | (~v195(constB193))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28484, 28483])).
% 25.90/17.63 tff(28486,plain,
% 25.90/17.63 (~v193(constB193)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28485, 23996, 28482])).
% 25.90/17.63 tff(28487,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB192)) | (~v185(constB192)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB192)) | (~v185(constB192)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28488,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB192)) | (~v185(constB192)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28489,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB192)) | (~v185(constB192))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28488, 28487])).
% 25.90/17.63 tff(28490,plain,
% 25.90/17.63 (~v185(constB192)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28489, 24010, 570])).
% 25.90/17.63 tff(28491,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB192) | (~v184(constB192)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB192) | (~v184(constB192)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28492,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB192) | (~v184(constB192)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28493,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB192) | (~v184(constB192))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28492, 28491])).
% 25.90/17.63 tff(28494,plain,
% 25.90/17.63 (~v184(constB192)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28493, 24024, 28490])).
% 25.90/17.63 tff(28495,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB192) | (~v180(constB192)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB192) | (~v180(constB192)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28496,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB192) | (~v180(constB192)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28497,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB192) | (~v180(constB192))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28496, 28495])).
% 25.90/17.63 tff(28498,plain,
% 25.90/17.63 (~v180(constB192)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28497, 23899, 28494])).
% 25.90/17.63 tff(28499,plain,
% 25.90/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB192, constB193)) | v180(constB192) | (~v182(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB192, constB193)) | v180(constB192) | (~v182(constB193)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28500,plain,
% 25.90/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB192, constB193)) | v180(constB192) | (~v182(constB193)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28501,plain,
% 25.90/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB192, constB193)) | v180(constB192) | (~v182(constB193))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28500, 28499])).
% 25.90/17.63 tff(28502,plain,
% 25.90/17.63 (v180(constB192) | (~v182(constB193))),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28501, 23916, 28287])).
% 25.90/17.63 tff(28503,plain,
% 25.90/17.63 (~v182(constB193)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28502, 28498])).
% 25.90/17.63 tff(28504,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB193) | (~v196(constB193)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB193) | (~v196(constB193)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28505,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB193) | (~v196(constB193)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28506,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB193) | (~v196(constB193))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28505, 28504])).
% 25.90/17.63 tff(28507,plain,
% 25.90/17.63 (~v196(constB193)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28506, 23931, 28503])).
% 25.90/17.63 tff(28508,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB193) | v196(constB193) | (~v190(constB193)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB193) | v196(constB193) | (~v190(constB193)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28509,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB193) | v196(constB193) | (~v190(constB193)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28510,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB193) | v196(constB193) | (~v190(constB193))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28509, 28508])).
% 25.90/17.63 tff(28511,plain,
% 25.90/17.63 (v193(constB193) | (~v190(constB193))),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28510, 24051, 28507])).
% 25.90/17.63 tff(28512,plain,
% 25.90/17.63 (~v190(constB193)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28511, 28486])).
% 25.90/17.63 tff(28513,plain,
% 25.90/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB193, constB194)) | v190(constB193) | (~v192(constB194)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB193, constB194)) | v190(constB193) | (~v192(constB194)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28514,plain,
% 25.90/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB193, constB194)) | v190(constB193) | (~v192(constB194)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28515,plain,
% 25.90/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB193, constB194)) | v190(constB193) | (~v192(constB194))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28514, 28513])).
% 25.90/17.63 tff(28516,plain,
% 25.90/17.63 (v190(constB193) | (~v192(constB194))),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28515, 24066, 28439])).
% 25.90/17.63 tff(28517,plain,
% 25.90/17.63 (~v192(constB194)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28516, 28512])).
% 25.90/17.63 tff(28518,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB194) | (~v193(constB194)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB194) | (~v193(constB194)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28519,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB194) | (~v193(constB194)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28520,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB194) | (~v193(constB194))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28519, 28518])).
% 25.90/17.63 tff(28521,plain,
% 25.90/17.63 (~v193(constB194)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28520, 24081, 28517])).
% 25.90/17.63 tff(28522,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB194) | v196(constB194) | (~v190(constB194)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB194) | v196(constB194) | (~v190(constB194)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28523,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB194) | v196(constB194) | (~v190(constB194)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28524,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB194) | v196(constB194) | (~v190(constB194))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28523, 28522])).
% 25.90/17.63 tff(28525,plain,
% 25.90/17.63 (v196(constB194) | (~v190(constB194))),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28524, 24051, 28521])).
% 25.90/17.63 tff(28526,plain,
% 25.90/17.63 (~v190(constB194)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28525, 28448])).
% 25.90/17.63 tff(28527,plain,
% 25.90/17.63 (nextState(constB194, constB195) <=> nextState(constB194, constB195)),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28528,axiom,(nextState(constB194, constB195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_194_1')).
% 25.90/17.63 tff(28529,plain,
% 25.90/17.63 (nextState(constB194, constB195)),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28528, 28527])).
% 25.90/17.63 tff(28530,plain,
% 25.90/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB194, constB195)) | v190(constB194) | (~v192(constB195)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB194, constB195)) | v190(constB194) | (~v192(constB195)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28531,plain,
% 25.90/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB194, constB195)) | v190(constB194) | (~v192(constB195)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28532,plain,
% 25.90/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB194, constB195)) | v190(constB194) | (~v192(constB195))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28531, 28530])).
% 25.90/17.63 tff(28533,plain,
% 25.90/17.63 (v190(constB194) | (~v192(constB195))),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28532, 24066, 28529])).
% 25.90/17.63 tff(28534,plain,
% 25.90/17.63 (~v192(constB195)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28533, 28526])).
% 25.90/17.63 tff(28535,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB195) | (~v201(constB195)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB195) | (~v201(constB195)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28536,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB195) | (~v201(constB195)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28537,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB195) | (~v201(constB195))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28536, 28535])).
% 25.90/17.63 tff(28538,plain,
% 25.90/17.63 (~v201(constB195)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28537, 24108, 28534])).
% 25.90/17.63 tff(28539,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB194)) | (~v185(constB194)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB194)) | (~v185(constB194)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28540,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB194)) | (~v185(constB194)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28541,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB194)) | (~v185(constB194))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28540, 28539])).
% 25.90/17.63 tff(28542,plain,
% 25.90/17.63 (~v185(constB194)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28541, 24010, 20])).
% 25.90/17.63 tff(28543,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB194) | (~v184(constB194)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB194) | (~v184(constB194)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28544,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB194) | (~v184(constB194)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28545,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB194) | (~v184(constB194))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28544, 28543])).
% 25.90/17.63 tff(28546,plain,
% 25.90/17.63 (~v184(constB194)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28545, 24024, 28542])).
% 25.90/17.63 tff(28547,plain,
% 25.90/17.63 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB194) | (~v180(constB194)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB194) | (~v180(constB194)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28548,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB194) | (~v180(constB194)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28549,plain,
% 25.90/17.63 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB194) | (~v180(constB194))),
% 25.90/17.63 inference(modus_ponens,[status(thm)],[28548, 28547])).
% 25.90/17.63 tff(28550,plain,
% 25.90/17.63 (~v180(constB194)),
% 25.90/17.63 inference(unit_resolution,[status(thm)],[28549, 23899, 28546])).
% 25.90/17.63 tff(28551,plain,
% 25.90/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB194, constB195)) | v180(constB194) | (~v182(constB195)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB194, constB195)) | v180(constB194) | (~v182(constB195)))),
% 25.90/17.63 inference(rewrite,[status(thm)],[])).
% 25.90/17.63 tff(28552,plain,
% 25.90/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB194, constB195)) | v180(constB194) | (~v182(constB195)))),
% 25.90/17.63 inference(quant_inst,[status(thm)],[])).
% 25.90/17.63 tff(28553,plain,
% 25.90/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB194, constB195)) | v180(constB194) | (~v182(constB195))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28552, 28551])).
% 25.90/17.64 tff(28554,plain,
% 25.90/17.64 (v180(constB194) | (~v182(constB195))),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28553, 23916, 28529])).
% 25.90/17.64 tff(28555,plain,
% 25.90/17.64 (~v182(constB195)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28554, 28550])).
% 25.90/17.64 tff(28556,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB195) | (~v205(constB195)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB195) | (~v205(constB195)))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28557,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB195) | (~v205(constB195)))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28558,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB195) | (~v205(constB195))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28557, 28556])).
% 25.90/17.64 tff(28559,plain,
% 25.90/17.64 (~v205(constB195)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28558, 24139, 28555])).
% 25.90/17.64 tff(28560,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB195) | v205(constB195) | (~v200(constB195)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB195) | v205(constB195) | (~v200(constB195)))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28561,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB195) | v205(constB195) | (~v200(constB195)))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28562,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB195) | v205(constB195) | (~v200(constB195))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28561, 28560])).
% 25.90/17.64 tff(28563,plain,
% 25.90/17.64 (v201(constB195) | (~v200(constB195))),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28562, 24153, 28559])).
% 25.90/17.64 tff(28564,plain,
% 25.90/17.64 (~v200(constB195)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28563, 28538])).
% 25.90/17.64 tff(28565,plain,
% 25.90/17.64 ($false),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28564, 24164])).
% 25.90/17.64 tff(28566,plain,(~(constB195 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.90/17.64 tff(28567,assumption,(constB31 = sK0_VarCurr), introduced(assumption)).
% 25.90/17.64 tff(28568,plain,
% 25.90/17.64 (v200(constB31) <=> v200(sK0_VarCurr)),
% 25.90/17.64 inference(monotonicity,[status(thm)],[28567])).
% 25.90/17.64 tff(28569,plain,
% 25.90/17.64 (v200(sK0_VarCurr) <=> v200(constB31)),
% 25.90/17.64 inference(symmetry,[status(thm)],[28568])).
% 25.90/17.64 tff(28570,plain,
% 25.90/17.64 (v200(constB31)),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[788, 28569])).
% 25.90/17.64 tff(28571,plain,
% 25.90/17.64 (^[VarCurr: state_type] : refl(((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2)) <=> ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2)))),
% 25.90/17.64 inference(bind,[status(th)],[])).
% 25.90/17.64 tff(28572,plain,
% 25.90/17.64 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))),
% 25.90/17.64 inference(quant_intro,[status(thm)],[28571])).
% 25.90/17.64 tff(28573,plain,
% 25.90/17.64 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28574,axiom,(![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_6')).
% 25.90/17.64 tff(28575,plain,
% 25.90/17.64 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28574, 28573])).
% 25.90/17.64 tff(28576,plain,(
% 25.90/17.64 ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))),
% 25.90/17.64 inference(skolemize,[status(sab)],[28575])).
% 25.90/17.64 tff(28577,plain,
% 25.90/17.64 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28576, 28572])).
% 25.90/17.64 tff(28578,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB29, bitIndex2)) | v90(constB29, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB29, bitIndex2)) | v90(constB29, bitIndex2))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28579,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB29, bitIndex2)) | v90(constB29, bitIndex2))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28580,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB29, bitIndex2)) | v90(constB29, bitIndex2)),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28579, 28578])).
% 25.90/17.64 tff(28581,plain,
% 25.90/17.64 (~v88(constB29, bitIndex2)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28580, 28577, 5151])).
% 25.90/17.64 tff(28582,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB29, bitIndex0)) | v90(constB29, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB29, bitIndex0)) | v90(constB29, bitIndex0))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28583,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB29, bitIndex0)) | v90(constB29, bitIndex0))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28584,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB29, bitIndex0)) | v90(constB29, bitIndex0)),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28583, 28582])).
% 25.90/17.64 tff(28585,plain,
% 25.90/17.64 (~v88(constB29, bitIndex0)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28584, 23809, 5192])).
% 25.90/17.64 tff(28586,plain,
% 25.90/17.64 (^[VarCurr: state_type] : refl(((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)))),
% 25.90/17.64 inference(bind,[status(th)],[])).
% 25.90/17.64 tff(28587,plain,
% 25.90/17.64 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 25.90/17.64 inference(quant_intro,[status(thm)],[28586])).
% 25.90/17.64 tff(28588,plain,
% 25.90/17.64 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28589,axiom,(![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_3')).
% 25.90/17.64 tff(28590,plain,
% 25.90/17.64 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28589, 28588])).
% 25.90/17.64 tff(28591,plain,(
% 25.90/17.64 ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 25.90/17.64 inference(skolemize,[status(sab)],[28590])).
% 25.90/17.64 tff(28592,plain,
% 25.90/17.64 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28591, 28587])).
% 25.90/17.64 tff(28593,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB29, bitIndex1)) | v88(constB29, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB29, bitIndex1)) | v88(constB29, bitIndex1))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28594,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB29, bitIndex1)) | v88(constB29, bitIndex1))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28595,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB29, bitIndex1)) | v88(constB29, bitIndex1)),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28594, 28593])).
% 25.90/17.64 tff(28596,plain,
% 25.90/17.64 (v88(constB29, bitIndex1)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28595, 28592, 5165])).
% 25.90/17.64 tff(28597,plain,
% 25.90/17.64 (^[VarCurr: state_type] : refl((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)))),
% 25.90/17.64 inference(bind,[status(th)],[])).
% 25.90/17.64 tff(28598,plain,
% 25.90/17.64 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 25.90/17.64 inference(quant_intro,[status(thm)],[28597])).
% 25.90/17.64 tff(28599,plain,
% 25.90/17.64 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28600,plain,
% 25.90/17.64 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1))) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0))), ((((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1))) | v143(VarCurr)) <=> ((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) | v143(VarCurr)))), rewrite(((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) | v143(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))), ((((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1))) | v143(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))))),
% 25.90/17.64 inference(bind,[status(th)],[])).
% 25.90/17.64 tff(28601,plain,
% 25.90/17.64 (![VarCurr: state_type] : (((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1))) | v143(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 25.90/17.64 inference(quant_intro,[status(thm)],[28600])).
% 25.90/17.64 tff(28602,axiom,(![VarCurr: state_type] : (((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1))) | v143(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_12_1_1_1')).
% 25.90/17.64 tff(28603,plain,
% 25.90/17.64 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28602, 28601])).
% 25.90/17.64 tff(28604,plain,
% 25.90/17.64 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28603, 28599])).
% 25.90/17.64 tff(28605,plain,(
% 25.90/17.64 ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 25.90/17.64 inference(skolemize,[status(sab)],[28604])).
% 25.90/17.64 tff(28606,plain,
% 25.90/17.64 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28605, 28598])).
% 25.90/17.64 tff(28607,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0) | v143(constB29))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0) | v143(constB29))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28608,plain,
% 25.90/17.64 ((v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0) | v143(constB29)) <=> ((~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0) | v143(constB29))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28609,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0) | v143(constB29))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0) | v143(constB29)))),
% 25.90/17.64 inference(monotonicity,[status(thm)],[28608])).
% 25.90/17.64 tff(28610,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0) | v143(constB29))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0) | v143(constB29))),
% 25.90/17.64 inference(transitivity,[status(thm)],[28609, 28607])).
% 25.90/17.64 tff(28611,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0) | v143(constB29))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28612,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0) | v143(constB29)),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28611, 28610])).
% 25.90/17.64 tff(28613,plain,
% 25.90/17.64 (v143(constB29)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28612, 28606, 28596, 28585, 28581])).
% 25.90/17.64 tff(28614,plain,
% 25.90/17.64 (^[VarCurr: state_type] : refl(((~v143(VarCurr)) | v142(VarCurr)) <=> ((~v143(VarCurr)) | v142(VarCurr)))),
% 25.90/17.64 inference(bind,[status(th)],[])).
% 25.90/17.64 tff(28615,plain,
% 25.90/17.64 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 25.90/17.64 inference(quant_intro,[status(thm)],[28614])).
% 25.90/17.64 tff(28616,plain,
% 25.90/17.64 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28617,axiom,(![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_2')).
% 25.90/17.64 tff(28618,plain,
% 25.90/17.64 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28617, 28616])).
% 25.90/17.64 tff(28619,plain,(
% 25.90/17.64 ![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 25.90/17.64 inference(skolemize,[status(sab)],[28618])).
% 25.90/17.64 tff(28620,plain,
% 25.90/17.64 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28619, 28615])).
% 25.90/17.64 tff(28621,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB29)) | v142(constB29))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB29)) | v142(constB29))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28622,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB29)) | v142(constB29))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28623,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB29)) | v142(constB29)),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28622, 28621])).
% 25.90/17.64 tff(28624,plain,
% 25.90/17.64 (v142(constB29)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28623, 28620, 28613])).
% 25.90/17.64 tff(28625,plain,
% 25.90/17.64 (^[VarCurr: state_type] : refl(((~v142(VarCurr)) | v167(VarCurr)) <=> ((~v142(VarCurr)) | v167(VarCurr)))),
% 25.90/17.64 inference(bind,[status(th)],[])).
% 25.90/17.64 tff(28626,plain,
% 25.90/17.64 (![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr)) <=> ![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))),
% 25.90/17.64 inference(quant_intro,[status(thm)],[28625])).
% 25.90/17.64 tff(28627,plain,
% 25.90/17.64 (![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr)) <=> ![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28628,axiom,(![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38_1_1_2')).
% 25.90/17.64 tff(28629,plain,
% 25.90/17.64 (![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28628, 28627])).
% 25.90/17.64 tff(28630,plain,(
% 25.90/17.64 ![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))),
% 25.90/17.64 inference(skolemize,[status(sab)],[28629])).
% 25.90/17.64 tff(28631,plain,
% 25.90/17.64 (![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28630, 28626])).
% 25.90/17.64 tff(28632,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB29)) | v167(constB29))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB29)) | v167(constB29))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28633,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB29)) | v167(constB29))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28634,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB29)) | v167(constB29)),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28633, 28632])).
% 25.90/17.64 tff(28635,plain,
% 25.90/17.64 (v167(constB29)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28634, 28631, 28624])).
% 25.90/17.64 tff(28636,plain,
% 25.90/17.64 (^[VarCurr: state_type] : refl((v166(VarCurr) | (~v167(VarCurr))) <=> (v166(VarCurr) | (~v167(VarCurr))))),
% 25.90/17.64 inference(bind,[status(th)],[])).
% 25.90/17.64 tff(28637,plain,
% 25.90/17.64 (![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr))) <=> ![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 25.90/17.64 inference(quant_intro,[status(thm)],[28636])).
% 25.90/17.64 tff(28638,plain,
% 25.90/17.64 (![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr))) <=> ![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28639,plain,
% 25.90/17.64 (^[VarCurr: state_type] : rewrite(((~v167(VarCurr)) | v166(VarCurr)) <=> (v166(VarCurr) | (~v167(VarCurr))))),
% 25.90/17.64 inference(bind,[status(th)],[])).
% 25.90/17.64 tff(28640,plain,
% 25.90/17.64 (![VarCurr: state_type] : ((~v167(VarCurr)) | v166(VarCurr)) <=> ![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 25.90/17.64 inference(quant_intro,[status(thm)],[28639])).
% 25.90/17.64 tff(28641,axiom,(![VarCurr: state_type] : ((~v167(VarCurr)) | v166(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39_1_1_1')).
% 25.90/17.64 tff(28642,plain,
% 25.90/17.64 (![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28641, 28640])).
% 25.90/17.64 tff(28643,plain,
% 25.90/17.64 (![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28642, 28638])).
% 25.90/17.64 tff(28644,plain,(
% 25.90/17.64 ![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 25.90/17.64 inference(skolemize,[status(sab)],[28643])).
% 25.90/17.64 tff(28645,plain,
% 25.90/17.64 (![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28644, 28637])).
% 25.90/17.64 tff(28646,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB29) | (~v167(constB29)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB29) | (~v167(constB29)))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28647,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB29) | (~v167(constB29)))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28648,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB29) | (~v167(constB29))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28647, 28646])).
% 25.90/17.64 tff(28649,plain,
% 25.90/17.64 (v166(constB29)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28648, 28645, 28635])).
% 25.90/17.64 tff(28650,plain,
% 25.90/17.64 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1))) <=> ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1))))),
% 25.90/17.64 inference(bind,[status(th)],[])).
% 25.90/17.64 tff(28651,plain,
% 25.90/17.64 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))),
% 25.90/17.64 inference(quant_intro,[status(thm)],[28650])).
% 25.90/17.64 tff(28652,plain,
% 25.90/17.64 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28653,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_3')).
% 25.90/17.64 tff(28654,plain,
% 25.90/17.64 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28653, 28652])).
% 25.90/17.64 tff(28655,plain,(
% 25.90/17.64 ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))),
% 25.90/17.64 inference(skolemize,[status(sab)],[28654])).
% 25.90/17.64 tff(28656,plain,
% 25.90/17.64 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28655, 28651])).
% 25.90/17.64 tff(28657,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v139(constB29)) | (~v88(constB29, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v139(constB29)) | (~v88(constB29, bitIndex1)))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28658,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v139(constB29)) | (~v88(constB29, bitIndex1)))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28659,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v139(constB29)) | (~v88(constB29, bitIndex1))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28658, 28657])).
% 25.90/17.64 tff(28660,plain,
% 25.90/17.64 (~v139(constB29)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28659, 28656, 28596])).
% 25.90/17.64 tff(28661,plain,
% 25.90/17.64 (^[VarCurr: state_type] : refl(((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1))) <=> ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1))))),
% 25.90/17.64 inference(bind,[status(th)],[])).
% 25.90/17.64 tff(28662,plain,
% 25.90/17.64 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))),
% 25.90/17.64 inference(quant_intro,[status(thm)],[28661])).
% 25.90/17.64 tff(28663,plain,
% 25.90/17.64 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28664,axiom,(![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_4')).
% 25.90/17.64 tff(28665,plain,
% 25.90/17.64 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28664, 28663])).
% 25.90/17.64 tff(28666,plain,(
% 25.90/17.64 ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))),
% 25.90/17.64 inference(skolemize,[status(sab)],[28665])).
% 25.90/17.64 tff(28667,plain,
% 25.90/17.64 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28666, 28662])).
% 25.90/17.64 tff(28668,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB29)) | (~v88(constB29, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB29)) | (~v88(constB29, bitIndex1)))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28669,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB29)) | (~v88(constB29, bitIndex1)))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28670,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB29)) | (~v88(constB29, bitIndex1))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28669, 28668])).
% 25.90/17.64 tff(28671,plain,
% 25.90/17.64 (~v140(constB29)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28670, 28667, 28596])).
% 25.90/17.64 tff(28672,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB29) | v140(constB29) | (~v170(constB29)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB29) | v140(constB29) | (~v170(constB29)))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28673,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB29) | v140(constB29) | (~v170(constB29)))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28674,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB29) | v140(constB29) | (~v170(constB29))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28673, 28672])).
% 25.90/17.64 tff(28675,plain,
% 25.90/17.64 (~v170(constB29)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28674, 23719, 28671, 28660])).
% 25.90/17.64 tff(28676,plain,
% 25.90/17.64 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB29)) | v170(constB29) | (~v166(constB29)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB29)) | v170(constB29) | (~v166(constB29)))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28677,plain,
% 25.90/17.64 (((~v166(constB29)) | v170(constB29) | (~v163(constB29))) <=> ((~v163(constB29)) | v170(constB29) | (~v166(constB29)))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28678,plain,
% 25.90/17.64 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB29)) | v170(constB29) | (~v163(constB29)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB29)) | v170(constB29) | (~v166(constB29))))),
% 25.90/17.64 inference(monotonicity,[status(thm)],[28677])).
% 25.90/17.64 tff(28679,plain,
% 25.90/17.64 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB29)) | v170(constB29) | (~v163(constB29)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB29)) | v170(constB29) | (~v166(constB29)))),
% 25.90/17.64 inference(transitivity,[status(thm)],[28678, 28676])).
% 25.90/17.64 tff(28680,plain,
% 25.90/17.64 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB29)) | v170(constB29) | (~v163(constB29)))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28681,plain,
% 25.90/17.64 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB29)) | v170(constB29) | (~v166(constB29))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28680, 28679])).
% 25.90/17.64 tff(28682,plain,
% 25.90/17.64 ((~v163(constB29)) | (~v166(constB29))),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28681, 23868, 28675])).
% 25.90/17.64 tff(28683,plain,
% 25.90/17.64 (~v163(constB29)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28682, 28649])).
% 25.90/17.64 tff(28684,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB29) | (~v184(constB29)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB29) | (~v184(constB29)))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28685,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB29) | (~v184(constB29)))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28686,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB29) | (~v184(constB29))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28685, 28684])).
% 25.90/17.64 tff(28687,plain,
% 25.90/17.64 (~v184(constB29)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28686, 23885, 28683])).
% 25.90/17.64 tff(28688,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB29) | (~v180(constB29)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB29) | (~v180(constB29)))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28689,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB29) | (~v180(constB29)))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28690,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB29) | (~v180(constB29))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28689, 28688])).
% 25.90/17.64 tff(28691,plain,
% 25.90/17.64 (~v180(constB29)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28690, 23899, 28687])).
% 25.90/17.64 tff(28692,plain,
% 25.90/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB29, constB30)) | v180(constB29) | (~v182(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB29, constB30)) | v180(constB29) | (~v182(constB30)))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28693,plain,
% 25.90/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB29, constB30)) | v180(constB29) | (~v182(constB30)))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28694,plain,
% 25.90/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB29, constB30)) | v180(constB29) | (~v182(constB30))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28693, 28692])).
% 25.90/17.64 tff(28695,plain,
% 25.90/17.64 (v180(constB29) | (~v182(constB30))),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28694, 23916, 5244])).
% 25.90/17.64 tff(28696,plain,
% 25.90/17.64 (~v182(constB30)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28695, 28691])).
% 25.90/17.64 tff(28697,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB30) | (~v196(constB30)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB30) | (~v196(constB30)))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28698,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB30) | (~v196(constB30)))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28699,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB30) | (~v196(constB30))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28698, 28697])).
% 25.90/17.64 tff(28700,plain,
% 25.90/17.64 (~v196(constB30)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28699, 23931, 28696])).
% 25.90/17.64 tff(28701,assumption,(v18(constB30)), introduced(assumption)).
% 25.90/17.64 tff(28702,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB30))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28703,plain,
% 25.90/17.64 ($false),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28702, 16985, 28701])).
% 25.90/17.64 tff(28704,plain,(~v18(constB30)), inference(lemma,lemma(discharge,[]))).
% 25.90/17.64 tff(28705,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB30) | (~v1(constB30)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB30) | (~v1(constB30)))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28706,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB30) | (~v1(constB30)))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28707,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB30) | (~v1(constB30))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28706, 28705])).
% 25.90/17.64 tff(28708,plain,
% 25.90/17.64 (v22(constB30)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28707, 16998, 372])).
% 25.90/17.64 tff(28709,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB30) | (~v22(constB30)) | (~v19(constB30)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB30) | (~v22(constB30)) | (~v19(constB30)))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28710,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB30) | (~v22(constB30)) | (~v19(constB30)))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28711,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB30) | (~v22(constB30)) | (~v19(constB30))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28710, 28709])).
% 25.90/17.64 tff(28712,plain,
% 25.90/17.64 (v18(constB30) | (~v19(constB30))),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28711, 17012, 28708])).
% 25.90/17.64 tff(28713,plain,
% 25.90/17.64 (~v19(constB30)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28712, 28704])).
% 25.90/17.64 tff(28714,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB30) | v19(constB30))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB30) | v19(constB30))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28715,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB30) | v19(constB30))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28716,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB30) | v19(constB30)),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28715, 28714])).
% 25.90/17.64 tff(28717,plain,
% 25.90/17.64 (v13(constB30)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28716, 17024, 28713])).
% 25.90/17.64 tff(28718,plain,
% 25.90/17.64 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB29) | (~v13(constB30)) | (~nextState(constB29, constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB29) | (~v13(constB30)) | (~nextState(constB29, constB30)))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28719,plain,
% 25.90/17.64 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB29) | (~v13(constB30)) | (~nextState(constB29, constB30)))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28720,plain,
% 25.90/17.64 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB29) | (~v13(constB30)) | (~nextState(constB29, constB30))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28719, 28718])).
% 25.90/17.64 tff(28721,plain,
% 25.90/17.64 (v9(constB29) | (~v13(constB30))),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28720, 17041, 5244])).
% 25.90/17.64 tff(28722,plain,
% 25.90/17.64 (v9(constB29)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28721, 28717])).
% 25.90/17.64 tff(28723,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB29) | (~v9(constB29)) | v185(constB29))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB29) | (~v9(constB29)) | v185(constB29))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28724,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB29) | (~v9(constB29)) | v185(constB29))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28725,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB29) | (~v9(constB29)) | v185(constB29)),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28724, 28723])).
% 25.90/17.64 tff(28726,plain,
% 25.90/17.64 ((~v9(constB29)) | v185(constB29)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28725, 23970, 5127])).
% 25.90/17.64 tff(28727,plain,
% 25.90/17.64 (v185(constB29)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28726, 28722])).
% 25.90/17.64 tff(28728,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (v195(constB29) | (~v185(constB29)))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB29) | (~v185(constB29)))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28729,plain,
% 25.90/17.64 (((~v185(constB29)) | v195(constB29)) <=> (v195(constB29) | (~v185(constB29)))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28730,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB29)) | v195(constB29))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (v195(constB29) | (~v185(constB29))))),
% 25.90/17.64 inference(monotonicity,[status(thm)],[28729])).
% 25.90/17.64 tff(28731,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB29)) | v195(constB29))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB29) | (~v185(constB29)))),
% 25.90/17.64 inference(transitivity,[status(thm)],[28730, 28728])).
% 25.90/17.64 tff(28732,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB29)) | v195(constB29))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28733,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB29) | (~v185(constB29))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28732, 28731])).
% 25.90/17.64 tff(28734,plain,
% 25.90/17.64 (v195(constB29)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28733, 23982, 28727])).
% 25.90/17.64 tff(28735,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB29)) | (~v195(constB29)))) <=> ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB29)) | (~v195(constB29)))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28736,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB29)) | (~v195(constB29)))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28737,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB29)) | (~v195(constB29))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28736, 28735])).
% 25.90/17.64 tff(28738,plain,
% 25.90/17.64 (~v193(constB29)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28737, 23996, 28734])).
% 25.90/17.64 tff(28739,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB28)) | (~v185(constB28)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB28)) | (~v185(constB28)))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28740,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB28)) | (~v185(constB28)))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28741,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB28)) | (~v185(constB28))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28740, 28739])).
% 25.90/17.64 tff(28742,plain,
% 25.90/17.64 (~v185(constB28)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28741, 24010, 537])).
% 25.90/17.64 tff(28743,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB28) | (~v184(constB28)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB28) | (~v184(constB28)))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28744,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB28) | (~v184(constB28)))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28745,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB28) | (~v184(constB28))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28744, 28743])).
% 25.90/17.64 tff(28746,plain,
% 25.90/17.64 (~v184(constB28)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28745, 24024, 28742])).
% 25.90/17.64 tff(28747,plain,
% 25.90/17.64 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB28) | (~v180(constB28)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB28) | (~v180(constB28)))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28748,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB28) | (~v180(constB28)))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28749,plain,
% 25.90/17.64 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB28) | (~v180(constB28))),
% 25.90/17.64 inference(modus_ponens,[status(thm)],[28748, 28747])).
% 25.90/17.64 tff(28750,plain,
% 25.90/17.64 (~v180(constB28)),
% 25.90/17.64 inference(unit_resolution,[status(thm)],[28749, 23899, 28746])).
% 25.90/17.64 tff(28751,plain,
% 25.90/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB28, constB29)) | v180(constB28) | (~v182(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB28, constB29)) | v180(constB28) | (~v182(constB29)))),
% 25.90/17.64 inference(rewrite,[status(thm)],[])).
% 25.90/17.64 tff(28752,plain,
% 25.90/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB28, constB29)) | v180(constB28) | (~v182(constB29)))),
% 25.90/17.64 inference(quant_inst,[status(thm)],[])).
% 25.90/17.64 tff(28753,plain,
% 25.90/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB28, constB29)) | v180(constB28) | (~v182(constB29))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28752, 28751])).
% 25.90/17.65 tff(28754,plain,
% 25.90/17.65 (v180(constB28) | (~v182(constB29))),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28753, 23916, 5130])).
% 25.90/17.65 tff(28755,plain,
% 25.90/17.65 (~v182(constB29)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28754, 28750])).
% 25.90/17.65 tff(28756,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB29) | (~v196(constB29)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB29) | (~v196(constB29)))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28757,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB29) | (~v196(constB29)))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28758,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB29) | (~v196(constB29))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28757, 28756])).
% 25.90/17.65 tff(28759,plain,
% 25.90/17.65 (~v196(constB29)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28758, 23931, 28755])).
% 25.90/17.65 tff(28760,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB29) | v196(constB29) | (~v190(constB29)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB29) | v196(constB29) | (~v190(constB29)))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28761,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB29) | v196(constB29) | (~v190(constB29)))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28762,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB29) | v196(constB29) | (~v190(constB29))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28761, 28760])).
% 25.90/17.65 tff(28763,plain,
% 25.90/17.65 (v193(constB29) | (~v190(constB29))),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28762, 24051, 28759])).
% 25.90/17.65 tff(28764,plain,
% 25.90/17.65 (~v190(constB29)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28763, 28738])).
% 25.90/17.65 tff(28765,plain,
% 25.90/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB29, constB30)) | v190(constB29) | (~v192(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB29, constB30)) | v190(constB29) | (~v192(constB30)))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28766,plain,
% 25.90/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB29, constB30)) | v190(constB29) | (~v192(constB30)))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28767,plain,
% 25.90/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB29, constB30)) | v190(constB29) | (~v192(constB30))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28766, 28765])).
% 25.90/17.65 tff(28768,plain,
% 25.90/17.65 (v190(constB29) | (~v192(constB30))),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28767, 24066, 5244])).
% 25.90/17.65 tff(28769,plain,
% 25.90/17.65 (~v192(constB30)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28768, 28764])).
% 25.90/17.65 tff(28770,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB30) | (~v193(constB30)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB30) | (~v193(constB30)))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28771,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB30) | (~v193(constB30)))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28772,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB30) | (~v193(constB30))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28771, 28770])).
% 25.90/17.65 tff(28773,plain,
% 25.90/17.65 (~v193(constB30)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28772, 24081, 28769])).
% 25.90/17.65 tff(28774,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB30) | v196(constB30) | (~v190(constB30)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB30) | v196(constB30) | (~v190(constB30)))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28775,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB30) | v196(constB30) | (~v190(constB30)))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28776,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB30) | v196(constB30) | (~v190(constB30))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28775, 28774])).
% 25.90/17.65 tff(28777,plain,
% 25.90/17.65 (v196(constB30) | (~v190(constB30))),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28776, 24051, 28773])).
% 25.90/17.65 tff(28778,plain,
% 25.90/17.65 (~v190(constB30)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28777, 28700])).
% 25.90/17.65 tff(28779,plain,
% 25.90/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB30, constB31)) | v190(constB30) | (~v192(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB30, constB31)) | v190(constB30) | (~v192(constB31)))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28780,plain,
% 25.90/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB30, constB31)) | v190(constB30) | (~v192(constB31)))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28781,plain,
% 25.90/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB30, constB31)) | v190(constB30) | (~v192(constB31))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28780, 28779])).
% 25.90/17.65 tff(28782,plain,
% 25.90/17.65 (v190(constB30) | (~v192(constB31))),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28781, 24066, 5303])).
% 25.90/17.65 tff(28783,plain,
% 25.90/17.65 (~v192(constB31)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28782, 28778])).
% 25.90/17.65 tff(28784,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB31) | (~v201(constB31)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB31) | (~v201(constB31)))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28785,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB31) | (~v201(constB31)))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28786,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB31) | (~v201(constB31))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28785, 28784])).
% 25.90/17.65 tff(28787,plain,
% 25.90/17.65 (~v201(constB31)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28786, 24108, 28783])).
% 25.90/17.65 tff(28788,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB30)) | (~v185(constB30)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB30)) | (~v185(constB30)))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28789,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB30)) | (~v185(constB30)))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28790,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB30)) | (~v185(constB30))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28789, 28788])).
% 25.90/17.65 tff(28791,plain,
% 25.90/17.65 (~v185(constB30)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28790, 24010, 372])).
% 25.90/17.65 tff(28792,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB30) | (~v184(constB30)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB30) | (~v184(constB30)))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28793,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB30) | (~v184(constB30)))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28794,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB30) | (~v184(constB30))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28793, 28792])).
% 25.90/17.65 tff(28795,plain,
% 25.90/17.65 (~v184(constB30)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28794, 24024, 28791])).
% 25.90/17.65 tff(28796,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB30) | (~v180(constB30)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB30) | (~v180(constB30)))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28797,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB30) | (~v180(constB30)))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28798,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB30) | (~v180(constB30))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28797, 28796])).
% 25.90/17.65 tff(28799,plain,
% 25.90/17.65 (~v180(constB30)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28798, 23899, 28795])).
% 25.90/17.65 tff(28800,plain,
% 25.90/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB30, constB31)) | v180(constB30) | (~v182(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB30, constB31)) | v180(constB30) | (~v182(constB31)))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28801,plain,
% 25.90/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB30, constB31)) | v180(constB30) | (~v182(constB31)))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28802,plain,
% 25.90/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB30, constB31)) | v180(constB30) | (~v182(constB31))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28801, 28800])).
% 25.90/17.65 tff(28803,plain,
% 25.90/17.65 (v180(constB30) | (~v182(constB31))),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28802, 23916, 5303])).
% 25.90/17.65 tff(28804,plain,
% 25.90/17.65 (~v182(constB31)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28803, 28799])).
% 25.90/17.65 tff(28805,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB31) | (~v205(constB31)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB31) | (~v205(constB31)))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28806,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB31) | (~v205(constB31)))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28807,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB31) | (~v205(constB31))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28806, 28805])).
% 25.90/17.65 tff(28808,plain,
% 25.90/17.65 (~v205(constB31)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28807, 24139, 28804])).
% 25.90/17.65 tff(28809,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB31) | v205(constB31) | (~v200(constB31)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB31) | v205(constB31) | (~v200(constB31)))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28810,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB31) | v205(constB31) | (~v200(constB31)))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28811,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB31) | v205(constB31) | (~v200(constB31))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28810, 28809])).
% 25.90/17.65 tff(28812,plain,
% 25.90/17.65 (v201(constB31) | (~v200(constB31))),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28811, 24153, 28808])).
% 25.90/17.65 tff(28813,plain,
% 25.90/17.65 (~v200(constB31)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28812, 28787])).
% 25.90/17.65 tff(28814,plain,
% 25.90/17.65 ($false),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28813, 28570])).
% 25.90/17.65 tff(28815,plain,(~(constB31 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.90/17.65 tff(28816,assumption,(constB13 = sK0_VarCurr), introduced(assumption)).
% 25.90/17.65 tff(28817,plain,
% 25.90/17.65 (v200(constB13) <=> v200(sK0_VarCurr)),
% 25.90/17.65 inference(monotonicity,[status(thm)],[28816])).
% 25.90/17.65 tff(28818,plain,
% 25.90/17.65 (v200(sK0_VarCurr) <=> v200(constB13)),
% 25.90/17.65 inference(symmetry,[status(thm)],[28817])).
% 25.90/17.65 tff(28819,plain,
% 25.90/17.65 (v200(constB13)),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[788, 28818])).
% 25.90/17.65 tff(28820,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB11, bitIndex2)) | v90(constB11, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB11, bitIndex2)) | v90(constB11, bitIndex2))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28821,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB11, bitIndex2)) | v90(constB11, bitIndex2))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28822,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB11, bitIndex2)) | v90(constB11, bitIndex2)),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28821, 28820])).
% 25.90/17.65 tff(28823,plain,
% 25.90/17.65 (~v88(constB11, bitIndex2)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28822, 28577, 2555])).
% 25.90/17.65 tff(28824,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB11, bitIndex1)) | v88(constB11, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB11, bitIndex1)) | v88(constB11, bitIndex1))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28825,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB11, bitIndex1)) | v88(constB11, bitIndex1))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28826,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB11, bitIndex1)) | v88(constB11, bitIndex1)),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28825, 28824])).
% 25.90/17.65 tff(28827,plain,
% 25.90/17.65 (v88(constB11, bitIndex1)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28826, 28592, 2593])).
% 25.90/17.65 tff(28828,plain,
% 25.90/17.65 (^[VarCurr: state_type] : refl(((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)))),
% 25.90/17.65 inference(bind,[status(th)],[])).
% 25.90/17.65 tff(28829,plain,
% 25.90/17.65 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 25.90/17.65 inference(quant_intro,[status(thm)],[28828])).
% 25.90/17.65 tff(28830,plain,
% 25.90/17.65 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28831,axiom,(![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_1')).
% 25.90/17.65 tff(28832,plain,
% 25.90/17.65 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28831, 28830])).
% 25.90/17.65 tff(28833,plain,(
% 25.90/17.65 ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 25.90/17.65 inference(skolemize,[status(sab)],[28832])).
% 25.90/17.65 tff(28834,plain,
% 25.90/17.65 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28833, 28829])).
% 25.90/17.65 tff(28835,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB11, bitIndex0)) | v88(constB11, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB11, bitIndex0)) | v88(constB11, bitIndex0))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28836,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB11, bitIndex0)) | v88(constB11, bitIndex0))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28837,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB11, bitIndex0)) | v88(constB11, bitIndex0)),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28836, 28835])).
% 25.90/17.65 tff(28838,plain,
% 25.90/17.65 (v88(constB11, bitIndex0)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28837, 28834, 2631])).
% 25.90/17.65 tff(28839,plain,
% 25.90/17.65 (^[VarCurr: state_type] : refl((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)))),
% 25.90/17.65 inference(bind,[status(th)],[])).
% 25.90/17.65 tff(28840,plain,
% 25.90/17.65 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 25.90/17.65 inference(quant_intro,[status(thm)],[28839])).
% 25.90/17.65 tff(28841,plain,
% 25.90/17.65 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28842,plain,
% 25.90/17.65 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))), (((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) | (~v88(VarCurr, bitIndex1))) <=> ((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) | (~v88(VarCurr, bitIndex1))))), rewrite(((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) | (~v88(VarCurr, bitIndex1))) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))), (((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) | (~v88(VarCurr, bitIndex1))) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0))))), ((((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) | (~v88(VarCurr, bitIndex1))) | v141(VarCurr)) <=> ((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0))) | v141(VarCurr)))), rewrite(((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0))) | v141(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))), ((((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) | (~v88(VarCurr, bitIndex1))) | v141(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))))),
% 25.90/17.65 inference(bind,[status(th)],[])).
% 25.90/17.65 tff(28843,plain,
% 25.90/17.65 (![VarCurr: state_type] : (((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) | (~v88(VarCurr, bitIndex1))) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 25.90/17.65 inference(quant_intro,[status(thm)],[28842])).
% 25.90/17.65 tff(28844,axiom,(![VarCurr: state_type] : (((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) | (~v88(VarCurr, bitIndex1))) | v141(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_1_1')).
% 25.90/17.65 tff(28845,plain,
% 25.90/17.65 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28844, 28843])).
% 25.90/17.65 tff(28846,plain,
% 25.90/17.65 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28845, 28841])).
% 25.90/17.65 tff(28847,plain,(
% 25.90/17.65 ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 25.90/17.65 inference(skolemize,[status(sab)],[28846])).
% 25.90/17.65 tff(28848,plain,
% 25.90/17.65 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28847, 28840])).
% 25.90/17.65 tff(28849,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB11, bitIndex0)) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex1)) | v141(constB11))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB11, bitIndex0)) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex1)) | v141(constB11))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28850,plain,
% 25.90/17.65 ((v88(constB11, bitIndex2) | (~v88(constB11, bitIndex1)) | (~v88(constB11, bitIndex0)) | v141(constB11)) <=> ((~v88(constB11, bitIndex0)) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex1)) | v141(constB11))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28851,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB11, bitIndex2) | (~v88(constB11, bitIndex1)) | (~v88(constB11, bitIndex0)) | v141(constB11))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB11, bitIndex0)) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex1)) | v141(constB11)))),
% 25.90/17.65 inference(monotonicity,[status(thm)],[28850])).
% 25.90/17.65 tff(28852,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB11, bitIndex2) | (~v88(constB11, bitIndex1)) | (~v88(constB11, bitIndex0)) | v141(constB11))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB11, bitIndex0)) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex1)) | v141(constB11))),
% 25.90/17.65 inference(transitivity,[status(thm)],[28851, 28849])).
% 25.90/17.65 tff(28853,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB11, bitIndex2) | (~v88(constB11, bitIndex1)) | (~v88(constB11, bitIndex0)) | v141(constB11))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28854,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB11, bitIndex0)) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex1)) | v141(constB11)),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28853, 28852])).
% 25.90/17.65 tff(28855,plain,
% 25.90/17.65 (v141(constB11)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28854, 28848, 28838, 28827, 28823])).
% 25.90/17.65 tff(28856,plain,
% 25.90/17.65 (^[VarCurr: state_type] : refl(((~v141(VarCurr)) | v168(VarCurr)) <=> ((~v141(VarCurr)) | v168(VarCurr)))),
% 25.90/17.65 inference(bind,[status(th)],[])).
% 25.90/17.65 tff(28857,plain,
% 25.90/17.65 (![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr)) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))),
% 25.90/17.65 inference(quant_intro,[status(thm)],[28856])).
% 25.90/17.65 tff(28858,plain,
% 25.90/17.65 (![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr)) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28859,axiom,(![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_37_1_1_2')).
% 25.90/17.65 tff(28860,plain,
% 25.90/17.65 (![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28859, 28858])).
% 25.90/17.65 tff(28861,plain,(
% 25.90/17.65 ![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))),
% 25.90/17.65 inference(skolemize,[status(sab)],[28860])).
% 25.90/17.65 tff(28862,plain,
% 25.90/17.65 (![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28861, 28857])).
% 25.90/17.65 tff(28863,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB11)) | v168(constB11))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB11)) | v168(constB11))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28864,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB11)) | v168(constB11))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28865,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB11)) | v168(constB11)),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28864, 28863])).
% 25.90/17.65 tff(28866,plain,
% 25.90/17.65 (v168(constB11)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28865, 28862, 28855])).
% 25.90/17.65 tff(28867,plain,
% 25.90/17.65 (^[VarCurr: state_type] : refl(((~v168(VarCurr)) | v167(VarCurr)) <=> ((~v168(VarCurr)) | v167(VarCurr)))),
% 25.90/17.65 inference(bind,[status(th)],[])).
% 25.90/17.65 tff(28868,plain,
% 25.90/17.65 (![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr)) <=> ![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))),
% 25.90/17.65 inference(quant_intro,[status(thm)],[28867])).
% 25.90/17.65 tff(28869,plain,
% 25.90/17.65 (![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr)) <=> ![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28870,axiom,(![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38_1_1_1')).
% 25.90/17.65 tff(28871,plain,
% 25.90/17.65 (![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28870, 28869])).
% 25.90/17.65 tff(28872,plain,(
% 25.90/17.65 ![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))),
% 25.90/17.65 inference(skolemize,[status(sab)],[28871])).
% 25.90/17.65 tff(28873,plain,
% 25.90/17.65 (![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28872, 28868])).
% 25.90/17.65 tff(28874,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB11) | (~v168(constB11)))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB11) | (~v168(constB11)))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28875,plain,
% 25.90/17.65 (((~v168(constB11)) | v167(constB11)) <=> (v167(constB11) | (~v168(constB11)))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28876,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB11)) | v167(constB11))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB11) | (~v168(constB11))))),
% 25.90/17.65 inference(monotonicity,[status(thm)],[28875])).
% 25.90/17.65 tff(28877,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB11)) | v167(constB11))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB11) | (~v168(constB11)))),
% 25.90/17.65 inference(transitivity,[status(thm)],[28876, 28874])).
% 25.90/17.65 tff(28878,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB11)) | v167(constB11))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28879,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB11) | (~v168(constB11))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28878, 28877])).
% 25.90/17.65 tff(28880,plain,
% 25.90/17.65 (v167(constB11)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28879, 28873, 28866])).
% 25.90/17.65 tff(28881,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB11) | (~v167(constB11)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB11) | (~v167(constB11)))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28882,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB11) | (~v167(constB11)))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28883,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB11) | (~v167(constB11))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28882, 28881])).
% 25.90/17.65 tff(28884,plain,
% 25.90/17.65 (v166(constB11)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28883, 28645, 28880])).
% 25.90/17.65 tff(28885,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB11)) | (~v88(constB11, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB11)) | (~v88(constB11, bitIndex1)))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28886,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB11)) | (~v88(constB11, bitIndex1)))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28887,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB11)) | (~v88(constB11, bitIndex1))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28886, 28885])).
% 25.90/17.65 tff(28888,plain,
% 25.90/17.65 (~v140(constB11)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28887, 28667, 28827])).
% 25.90/17.65 tff(28889,plain,
% 25.90/17.65 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0))) <=> ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0))))),
% 25.90/17.65 inference(bind,[status(th)],[])).
% 25.90/17.65 tff(28890,plain,
% 25.90/17.65 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))),
% 25.90/17.65 inference(quant_intro,[status(thm)],[28889])).
% 25.90/17.65 tff(28891,plain,
% 25.90/17.65 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28892,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_4')).
% 25.90/17.65 tff(28893,plain,
% 25.90/17.65 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28892, 28891])).
% 25.90/17.65 tff(28894,plain,(
% 25.90/17.65 ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))),
% 25.90/17.65 inference(skolemize,[status(sab)],[28893])).
% 25.90/17.65 tff(28895,plain,
% 25.90/17.65 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28894, 28890])).
% 25.90/17.65 tff(28896,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))) | ((~v139(constB11)) | (~v88(constB11, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))) | (~v139(constB11)) | (~v88(constB11, bitIndex0)))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28897,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))) | ((~v139(constB11)) | (~v88(constB11, bitIndex0)))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28898,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))) | (~v139(constB11)) | (~v88(constB11, bitIndex0))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28897, 28896])).
% 25.90/17.65 tff(28899,plain,
% 25.90/17.65 (~v139(constB11)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28898, 28895, 28838])).
% 25.90/17.65 tff(28900,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB11) | v140(constB11) | (~v170(constB11)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB11) | v140(constB11) | (~v170(constB11)))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28901,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB11) | v140(constB11) | (~v170(constB11)))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28902,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB11) | v140(constB11) | (~v170(constB11))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28901, 28900])).
% 25.90/17.65 tff(28903,plain,
% 25.90/17.65 (~v170(constB11)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28902, 23719, 28899, 28888])).
% 25.90/17.65 tff(28904,plain,
% 25.90/17.65 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB11)) | (~v166(constB11)) | v170(constB11))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB11)) | (~v166(constB11)) | v170(constB11))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28905,plain,
% 25.90/17.65 (((~v166(constB11)) | v170(constB11) | (~v163(constB11))) <=> ((~v163(constB11)) | (~v166(constB11)) | v170(constB11))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28906,plain,
% 25.90/17.65 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB11)) | v170(constB11) | (~v163(constB11)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB11)) | (~v166(constB11)) | v170(constB11)))),
% 25.90/17.65 inference(monotonicity,[status(thm)],[28905])).
% 25.90/17.65 tff(28907,plain,
% 25.90/17.65 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB11)) | v170(constB11) | (~v163(constB11)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB11)) | (~v166(constB11)) | v170(constB11))),
% 25.90/17.65 inference(transitivity,[status(thm)],[28906, 28904])).
% 25.90/17.65 tff(28908,plain,
% 25.90/17.65 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB11)) | v170(constB11) | (~v163(constB11)))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28909,plain,
% 25.90/17.65 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB11)) | (~v166(constB11)) | v170(constB11)),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28908, 28907])).
% 25.90/17.65 tff(28910,plain,
% 25.90/17.65 ((~v163(constB11)) | (~v166(constB11))),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28909, 23868, 28903])).
% 25.90/17.65 tff(28911,plain,
% 25.90/17.65 (~v163(constB11)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28910, 28884])).
% 25.90/17.65 tff(28912,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB11) | (~v184(constB11)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB11) | (~v184(constB11)))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28913,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB11) | (~v184(constB11)))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28914,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB11) | (~v184(constB11))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28913, 28912])).
% 25.90/17.65 tff(28915,plain,
% 25.90/17.65 (~v184(constB11)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28914, 23885, 28911])).
% 25.90/17.65 tff(28916,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB11) | (~v180(constB11)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB11) | (~v180(constB11)))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28917,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB11) | (~v180(constB11)))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28918,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB11) | (~v180(constB11))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28917, 28916])).
% 25.90/17.65 tff(28919,plain,
% 25.90/17.65 (~v180(constB11)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28918, 23899, 28915])).
% 25.90/17.65 tff(28920,plain,
% 25.90/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB11, constB12)) | v180(constB11) | (~v182(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB11, constB12)) | v180(constB11) | (~v182(constB12)))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28921,plain,
% 25.90/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB11, constB12)) | v180(constB11) | (~v182(constB12)))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28922,plain,
% 25.90/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB11, constB12)) | v180(constB11) | (~v182(constB12))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28921, 28920])).
% 25.90/17.65 tff(28923,plain,
% 25.90/17.65 (v180(constB11) | (~v182(constB12))),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28922, 23916, 2698])).
% 25.90/17.65 tff(28924,plain,
% 25.90/17.65 (~v182(constB12)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28923, 28919])).
% 25.90/17.65 tff(28925,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB12) | (~v196(constB12)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB12) | (~v196(constB12)))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28926,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB12) | (~v196(constB12)))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28927,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB12) | (~v196(constB12))),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28926, 28925])).
% 25.90/17.65 tff(28928,plain,
% 25.90/17.65 (~v196(constB12)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28927, 23931, 28924])).
% 25.90/17.65 tff(28929,plain,
% 25.90/17.65 ((~v127(constB7, bitIndex2)) | v130(constB7, bitIndex2)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[2293, 1812, 2224])).
% 25.90/17.65 tff(28930,plain,
% 25.90/17.65 (~v127(constB7, bitIndex2)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28929, 2235])).
% 25.90/17.65 tff(28931,plain,
% 25.90/17.65 (~v129(constB8, bitIndex2)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[2299, 28930])).
% 25.90/17.65 tff(28932,plain,
% 25.90/17.65 (v112(constB7) | (~v113(constB7))),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[2243, 1050, 2224])).
% 25.90/17.65 tff(28933,plain,
% 25.90/17.65 (v112(constB7)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28932, 2220])).
% 25.90/17.65 tff(28934,plain,
% 25.90/17.65 (v108(constB7)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[2251, 1062, 28933])).
% 25.90/17.65 tff(28935,plain,
% 25.90/17.65 (v110(constB8)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[2262, 28934])).
% 25.90/17.65 tff(28936,plain,
% 25.90/17.65 (v100(constB8)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[2285, 28935])).
% 25.90/17.65 tff(28937,plain,
% 25.90/17.65 ((~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[2303, 1845, 28936])).
% 25.90/17.65 tff(28938,plain,
% 25.90/17.65 (~v90(constB8, bitIndex2)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28937, 28931])).
% 25.90/17.65 tff(28939,plain,
% 25.90/17.65 (~v90(constB9, bitIndex2)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[2331, 28938])).
% 25.90/17.65 tff(28940,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB9, bitIndex2)) | v90(constB9, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB9, bitIndex2)) | v90(constB9, bitIndex2))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28941,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB9, bitIndex2)) | v90(constB9, bitIndex2))),
% 25.90/17.65 inference(quant_inst,[status(thm)],[])).
% 25.90/17.65 tff(28942,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB9, bitIndex2)) | v90(constB9, bitIndex2)),
% 25.90/17.65 inference(modus_ponens,[status(thm)],[28941, 28940])).
% 25.90/17.65 tff(28943,plain,
% 25.90/17.65 (~v88(constB9, bitIndex2)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28942, 28577, 28939])).
% 25.90/17.65 tff(28944,plain,
% 25.90/17.65 ((~v127(constB7, bitIndex0)) | v130(constB7, bitIndex0)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[2367, 1341, 2224])).
% 25.90/17.65 tff(28945,plain,
% 25.90/17.65 (~v127(constB7, bitIndex0)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28944, 2027])).
% 25.90/17.65 tff(28946,plain,
% 25.90/17.65 (~v129(constB8, bitIndex0)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[2373, 28945])).
% 25.90/17.65 tff(28947,plain,
% 25.90/17.65 ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[2380, 1374, 28936])).
% 25.90/17.65 tff(28948,plain,
% 25.90/17.65 (~v90(constB8, bitIndex0)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[28947, 28946])).
% 25.90/17.65 tff(28949,plain,
% 25.90/17.65 (~v90(constB9, bitIndex0)),
% 25.90/17.65 inference(unit_resolution,[status(thm)],[2390, 28948])).
% 25.90/17.65 tff(28950,plain,
% 25.90/17.65 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB9, bitIndex0)) | v90(constB9, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB9, bitIndex0)) | v90(constB9, bitIndex0))),
% 25.90/17.65 inference(rewrite,[status(thm)],[])).
% 25.90/17.65 tff(28951,plain,
% 25.90/17.65 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB9, bitIndex0)) | v90(constB9, bitIndex0))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(28952,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB9, bitIndex0)) | v90(constB9, bitIndex0)),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[28951, 28950])).
% 25.90/17.66 tff(28953,plain,
% 25.90/17.66 (~v88(constB9, bitIndex0)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[28952, 23809, 28949])).
% 25.90/17.66 tff(28954,plain,
% 25.90/17.66 ((~v130(constB7, bitIndex1)) | v127(constB7, bitIndex1)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[2336, 1553, 2224])).
% 25.90/17.66 tff(28955,plain,
% 25.90/17.66 (v127(constB7, bitIndex1)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[28954, 2038])).
% 25.90/17.66 tff(28956,plain,
% 25.90/17.66 (v129(constB8, bitIndex1)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[2342, 28955])).
% 25.90/17.66 tff(28957,plain,
% 25.90/17.66 (v90(constB8, bitIndex1) | (~v129(constB8, bitIndex1))),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[2349, 1583, 28936])).
% 25.90/17.66 tff(28958,plain,
% 25.90/17.66 (v90(constB8, bitIndex1)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[28957, 28956])).
% 25.90/17.66 tff(28959,plain,
% 25.90/17.66 (v90(constB9, bitIndex1)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[2359, 28958])).
% 25.90/17.66 tff(28960,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB9, bitIndex1)) | v88(constB9, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB9, bitIndex1)) | v88(constB9, bitIndex1))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(28961,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB9, bitIndex1)) | v88(constB9, bitIndex1))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(28962,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB9, bitIndex1)) | v88(constB9, bitIndex1)),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[28961, 28960])).
% 25.90/17.66 tff(28963,plain,
% 25.90/17.66 (v88(constB9, bitIndex1)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[28962, 28592, 28959])).
% 25.90/17.66 tff(28964,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB9, bitIndex0) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v143(constB9))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB9, bitIndex0) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v143(constB9))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(28965,plain,
% 25.90/17.66 ((v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0) | v143(constB9)) <=> (v88(constB9, bitIndex0) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v143(constB9))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(28966,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0) | v143(constB9))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB9, bitIndex0) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v143(constB9)))),
% 25.90/17.66 inference(monotonicity,[status(thm)],[28965])).
% 25.90/17.66 tff(28967,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0) | v143(constB9))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB9, bitIndex0) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v143(constB9))),
% 25.90/17.66 inference(transitivity,[status(thm)],[28966, 28964])).
% 25.90/17.66 tff(28968,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0) | v143(constB9))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(28969,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB9, bitIndex0) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v143(constB9)),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[28968, 28967])).
% 25.90/17.66 tff(28970,plain,
% 25.90/17.66 (v143(constB9)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[28969, 28606, 28963, 28953, 28943])).
% 25.90/17.66 tff(28971,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB9)) | v142(constB9))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB9)) | v142(constB9))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(28972,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB9)) | v142(constB9))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(28973,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB9)) | v142(constB9)),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[28972, 28971])).
% 25.90/17.66 tff(28974,plain,
% 25.90/17.66 (v142(constB9)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[28973, 28620, 28970])).
% 25.90/17.66 tff(28975,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (v167(constB9) | (~v142(constB9)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB9) | (~v142(constB9)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(28976,plain,
% 25.90/17.66 (((~v142(constB9)) | v167(constB9)) <=> (v167(constB9) | (~v142(constB9)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(28977,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB9)) | v167(constB9))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (v167(constB9) | (~v142(constB9))))),
% 25.90/17.66 inference(monotonicity,[status(thm)],[28976])).
% 25.90/17.66 tff(28978,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB9)) | v167(constB9))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB9) | (~v142(constB9)))),
% 25.90/17.66 inference(transitivity,[status(thm)],[28977, 28975])).
% 25.90/17.66 tff(28979,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB9)) | v167(constB9))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(28980,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB9) | (~v142(constB9))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[28979, 28978])).
% 25.90/17.66 tff(28981,plain,
% 25.90/17.66 (v167(constB9)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[28980, 28631, 28974])).
% 25.90/17.66 tff(28982,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB9) | (~v167(constB9)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB9) | (~v167(constB9)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(28983,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB9) | (~v167(constB9)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(28984,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB9) | (~v167(constB9))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[28983, 28982])).
% 25.90/17.66 tff(28985,plain,
% 25.90/17.66 (v166(constB9)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[28984, 28645, 28981])).
% 25.90/17.66 tff(28986,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v139(constB9)) | (~v88(constB9, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v139(constB9)) | (~v88(constB9, bitIndex1)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(28987,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v139(constB9)) | (~v88(constB9, bitIndex1)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(28988,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v139(constB9)) | (~v88(constB9, bitIndex1))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[28987, 28986])).
% 25.90/17.66 tff(28989,plain,
% 25.90/17.66 (~v139(constB9)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[28988, 28656, 28963])).
% 25.90/17.66 tff(28990,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB9)) | (~v88(constB9, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB9)) | (~v88(constB9, bitIndex1)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(28991,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB9)) | (~v88(constB9, bitIndex1)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(28992,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB9)) | (~v88(constB9, bitIndex1))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[28991, 28990])).
% 25.90/17.66 tff(28993,plain,
% 25.90/17.66 (~v140(constB9)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[28992, 28667, 28963])).
% 25.90/17.66 tff(28994,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB9) | v140(constB9) | (~v170(constB9)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB9) | v140(constB9) | (~v170(constB9)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(28995,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB9) | v140(constB9) | (~v170(constB9)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(28996,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB9) | v140(constB9) | (~v170(constB9))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[28995, 28994])).
% 25.90/17.66 tff(28997,plain,
% 25.90/17.66 (~v170(constB9)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[28996, 23719, 28993, 28989])).
% 25.90/17.66 tff(28998,plain,
% 25.90/17.66 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB9)) | (~v166(constB9)) | v170(constB9))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB9)) | (~v166(constB9)) | v170(constB9))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(28999,plain,
% 25.90/17.66 (((~v166(constB9)) | v170(constB9) | (~v163(constB9))) <=> ((~v163(constB9)) | (~v166(constB9)) | v170(constB9))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29000,plain,
% 25.90/17.66 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB9)) | v170(constB9) | (~v163(constB9)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB9)) | (~v166(constB9)) | v170(constB9)))),
% 25.90/17.66 inference(monotonicity,[status(thm)],[28999])).
% 25.90/17.66 tff(29001,plain,
% 25.90/17.66 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB9)) | v170(constB9) | (~v163(constB9)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB9)) | (~v166(constB9)) | v170(constB9))),
% 25.90/17.66 inference(transitivity,[status(thm)],[29000, 28998])).
% 25.90/17.66 tff(29002,plain,
% 25.90/17.66 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB9)) | v170(constB9) | (~v163(constB9)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29003,plain,
% 25.90/17.66 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB9)) | (~v166(constB9)) | v170(constB9)),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29002, 29001])).
% 25.90/17.66 tff(29004,plain,
% 25.90/17.66 ((~v163(constB9)) | (~v166(constB9))),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29003, 23868, 28997])).
% 25.90/17.66 tff(29005,plain,
% 25.90/17.66 (~v163(constB9)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29004, 28985])).
% 25.90/17.66 tff(29006,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB9) | (~v184(constB9)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB9) | (~v184(constB9)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29007,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB9) | (~v184(constB9)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29008,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB9) | (~v184(constB9))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29007, 29006])).
% 25.90/17.66 tff(29009,plain,
% 25.90/17.66 (~v184(constB9)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29008, 23885, 29005])).
% 25.90/17.66 tff(29010,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB9) | (~v180(constB9)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB9) | (~v180(constB9)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29011,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB9) | (~v180(constB9)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29012,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB9) | (~v180(constB9))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29011, 29010])).
% 25.90/17.66 tff(29013,plain,
% 25.90/17.66 (~v180(constB9)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29012, 23899, 29009])).
% 25.90/17.66 tff(29014,plain,
% 25.90/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB9, constB10)) | v180(constB9) | (~v182(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB9, constB10)) | v180(constB9) | (~v182(constB10)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29015,plain,
% 25.90/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB9, constB10)) | v180(constB9) | (~v182(constB10)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29016,plain,
% 25.90/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB9, constB10)) | v180(constB9) | (~v182(constB10))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29015, 29014])).
% 25.90/17.66 tff(29017,plain,
% 25.90/17.66 (v180(constB9) | (~v182(constB10))),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29016, 23916, 2421])).
% 25.90/17.66 tff(29018,plain,
% 25.90/17.66 (~v182(constB10)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29017, 29013])).
% 25.90/17.66 tff(29019,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB10) | (~v196(constB10)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB10) | (~v196(constB10)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29020,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB10) | (~v196(constB10)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29021,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB10) | (~v196(constB10))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29020, 29019])).
% 25.90/17.66 tff(29022,plain,
% 25.90/17.66 (~v196(constB10)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29021, 23931, 29018])).
% 25.90/17.66 tff(29023,assumption,(v18(constB10)), introduced(assumption)).
% 25.90/17.66 tff(29024,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB10))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29025,plain,
% 25.90/17.66 ($false),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29024, 16985, 29023])).
% 25.90/17.66 tff(29026,plain,(~v18(constB10)), inference(lemma,lemma(discharge,[]))).
% 25.90/17.66 tff(29027,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB10) | (~v1(constB10)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB10) | (~v1(constB10)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29028,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB10) | (~v1(constB10)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29029,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB10) | (~v1(constB10))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29028, 29027])).
% 25.90/17.66 tff(29030,plain,
% 25.90/17.66 (v22(constB10)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29029, 16998, 361])).
% 25.90/17.66 tff(29031,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB10) | (~v22(constB10)) | (~v19(constB10)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB10) | (~v22(constB10)) | (~v19(constB10)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29032,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB10) | (~v22(constB10)) | (~v19(constB10)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29033,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB10) | (~v22(constB10)) | (~v19(constB10))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29032, 29031])).
% 25.90/17.66 tff(29034,plain,
% 25.90/17.66 (v18(constB10) | (~v19(constB10))),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29033, 17012, 29030])).
% 25.90/17.66 tff(29035,plain,
% 25.90/17.66 (~v19(constB10)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29034, 29026])).
% 25.90/17.66 tff(29036,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB10) | v19(constB10))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB10) | v19(constB10))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29037,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB10) | v19(constB10))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29038,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB10) | v19(constB10)),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29037, 29036])).
% 25.90/17.66 tff(29039,plain,
% 25.90/17.66 (v13(constB10)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29038, 17024, 29035])).
% 25.90/17.66 tff(29040,plain,
% 25.90/17.66 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB9) | (~v13(constB10)) | (~nextState(constB9, constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB9) | (~v13(constB10)) | (~nextState(constB9, constB10)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29041,plain,
% 25.90/17.66 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB9) | (~v13(constB10)) | (~nextState(constB9, constB10)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29042,plain,
% 25.90/17.66 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB9) | (~v13(constB10)) | (~nextState(constB9, constB10))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29041, 29040])).
% 25.90/17.66 tff(29043,plain,
% 25.90/17.66 (v9(constB9) | (~v13(constB10))),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29042, 17041, 2421])).
% 25.90/17.66 tff(29044,plain,
% 25.90/17.66 (v9(constB9)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29043, 29039])).
% 25.90/17.66 tff(29045,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB9) | (~v9(constB9)) | v185(constB9))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB9) | (~v9(constB9)) | v185(constB9))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29046,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB9) | (~v9(constB9)) | v185(constB9))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29047,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB9) | (~v9(constB9)) | v185(constB9)),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29046, 29045])).
% 25.90/17.66 tff(29048,plain,
% 25.90/17.66 ((~v9(constB9)) | v185(constB9)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29047, 23970, 2308])).
% 25.90/17.66 tff(29049,plain,
% 25.90/17.66 (v185(constB9)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29048, 29044])).
% 25.90/17.66 tff(29050,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (v195(constB9) | (~v185(constB9)))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB9) | (~v185(constB9)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29051,plain,
% 25.90/17.66 (((~v185(constB9)) | v195(constB9)) <=> (v195(constB9) | (~v185(constB9)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29052,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB9)) | v195(constB9))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (v195(constB9) | (~v185(constB9))))),
% 25.90/17.66 inference(monotonicity,[status(thm)],[29051])).
% 25.90/17.66 tff(29053,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB9)) | v195(constB9))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB9) | (~v185(constB9)))),
% 25.90/17.66 inference(transitivity,[status(thm)],[29052, 29050])).
% 25.90/17.66 tff(29054,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB9)) | v195(constB9))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29055,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB9) | (~v185(constB9))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29054, 29053])).
% 25.90/17.66 tff(29056,plain,
% 25.90/17.66 (v195(constB9)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29055, 23982, 29049])).
% 25.90/17.66 tff(29057,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB9)) | (~v195(constB9)))) <=> ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB9)) | (~v195(constB9)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29058,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB9)) | (~v195(constB9)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29059,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB9)) | (~v195(constB9))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29058, 29057])).
% 25.90/17.66 tff(29060,plain,
% 25.90/17.66 (~v193(constB9)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29059, 23996, 29056])).
% 25.90/17.66 tff(29061,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB8)) | (~v185(constB8)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB8)) | (~v185(constB8)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29062,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB8)) | (~v185(constB8)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29063,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB8)) | (~v185(constB8))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29062, 29061])).
% 25.90/17.66 tff(29064,plain,
% 25.90/17.66 (~v185(constB8)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29063, 24010, 229])).
% 25.90/17.66 tff(29065,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB8) | (~v184(constB8)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB8) | (~v184(constB8)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29066,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB8) | (~v184(constB8)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29067,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB8) | (~v184(constB8))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29066, 29065])).
% 25.90/17.66 tff(29068,plain,
% 25.90/17.66 (~v184(constB8)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29067, 24024, 29064])).
% 25.90/17.66 tff(29069,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB8) | (~v180(constB8)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB8) | (~v180(constB8)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29070,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB8) | (~v180(constB8)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29071,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB8) | (~v180(constB8))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29070, 29069])).
% 25.90/17.66 tff(29072,plain,
% 25.90/17.66 (~v180(constB8)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29071, 23899, 29068])).
% 25.90/17.66 tff(29073,plain,
% 25.90/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB8, constB9)) | v180(constB8) | (~v182(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB8, constB9)) | v180(constB8) | (~v182(constB9)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29074,plain,
% 25.90/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB8, constB9)) | v180(constB8) | (~v182(constB9)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29075,plain,
% 25.90/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB8, constB9)) | v180(constB8) | (~v182(constB9))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29074, 29073])).
% 25.90/17.66 tff(29076,plain,
% 25.90/17.66 (v180(constB8) | (~v182(constB9))),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29075, 23916, 2311])).
% 25.90/17.66 tff(29077,plain,
% 25.90/17.66 (~v182(constB9)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29076, 29072])).
% 25.90/17.66 tff(29078,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB9) | (~v196(constB9)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB9) | (~v196(constB9)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29079,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB9) | (~v196(constB9)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29080,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB9) | (~v196(constB9))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29079, 29078])).
% 25.90/17.66 tff(29081,plain,
% 25.90/17.66 (~v196(constB9)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29080, 23931, 29077])).
% 25.90/17.66 tff(29082,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB9) | v196(constB9) | (~v190(constB9)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB9) | v196(constB9) | (~v190(constB9)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29083,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB9) | v196(constB9) | (~v190(constB9)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29084,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB9) | v196(constB9) | (~v190(constB9))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29083, 29082])).
% 25.90/17.66 tff(29085,plain,
% 25.90/17.66 (v193(constB9) | (~v190(constB9))),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29084, 24051, 29081])).
% 25.90/17.66 tff(29086,plain,
% 25.90/17.66 (~v190(constB9)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29085, 29060])).
% 25.90/17.66 tff(29087,plain,
% 25.90/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB9, constB10)) | v190(constB9) | (~v192(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB9, constB10)) | v190(constB9) | (~v192(constB10)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29088,plain,
% 25.90/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB9, constB10)) | v190(constB9) | (~v192(constB10)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29089,plain,
% 25.90/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB9, constB10)) | v190(constB9) | (~v192(constB10))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29088, 29087])).
% 25.90/17.66 tff(29090,plain,
% 25.90/17.66 (v190(constB9) | (~v192(constB10))),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29089, 24066, 2421])).
% 25.90/17.66 tff(29091,plain,
% 25.90/17.66 (~v192(constB10)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29090, 29086])).
% 25.90/17.66 tff(29092,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB10) | (~v193(constB10)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB10) | (~v193(constB10)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29093,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB10) | (~v193(constB10)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29094,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB10) | (~v193(constB10))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29093, 29092])).
% 25.90/17.66 tff(29095,plain,
% 25.90/17.66 (~v193(constB10)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29094, 24081, 29091])).
% 25.90/17.66 tff(29096,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB10) | v196(constB10) | (~v190(constB10)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB10) | v196(constB10) | (~v190(constB10)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29097,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB10) | v196(constB10) | (~v190(constB10)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29098,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB10) | v196(constB10) | (~v190(constB10))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29097, 29096])).
% 25.90/17.66 tff(29099,plain,
% 25.90/17.66 (v196(constB10) | (~v190(constB10))),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29098, 24051, 29095])).
% 25.90/17.66 tff(29100,plain,
% 25.90/17.66 (~v190(constB10)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29099, 29022])).
% 25.90/17.66 tff(29101,plain,
% 25.90/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB10, constB11)) | v190(constB10) | (~v192(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB10, constB11)) | v190(constB10) | (~v192(constB11)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29102,plain,
% 25.90/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB10, constB11)) | v190(constB10) | (~v192(constB11)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29103,plain,
% 25.90/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB10, constB11)) | v190(constB10) | (~v192(constB11))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29102, 29101])).
% 25.90/17.66 tff(29104,plain,
% 25.90/17.66 (v190(constB10) | (~v192(constB11))),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29103, 24066, 2534])).
% 25.90/17.66 tff(29105,plain,
% 25.90/17.66 (~v192(constB11)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29104, 29100])).
% 25.90/17.66 tff(29106,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB11) | (~v193(constB11)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB11) | (~v193(constB11)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29107,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB11) | (~v193(constB11)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29108,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB11) | (~v193(constB11))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29107, 29106])).
% 25.90/17.66 tff(29109,plain,
% 25.90/17.66 (~v193(constB11)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29108, 24081, 29105])).
% 25.90/17.66 tff(29110,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB10)) | (~v185(constB10)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB10)) | (~v185(constB10)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29111,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB10)) | (~v185(constB10)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29112,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB10)) | (~v185(constB10))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29111, 29110])).
% 25.90/17.66 tff(29113,plain,
% 25.90/17.66 (~v185(constB10)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29112, 24010, 361])).
% 25.90/17.66 tff(29114,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB10) | (~v184(constB10)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB10) | (~v184(constB10)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29115,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB10) | (~v184(constB10)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29116,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB10) | (~v184(constB10))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29115, 29114])).
% 25.90/17.66 tff(29117,plain,
% 25.90/17.66 (~v184(constB10)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29116, 24024, 29113])).
% 25.90/17.66 tff(29118,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB10) | (~v180(constB10)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB10) | (~v180(constB10)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29119,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB10) | (~v180(constB10)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29120,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB10) | (~v180(constB10))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29119, 29118])).
% 25.90/17.66 tff(29121,plain,
% 25.90/17.66 (~v180(constB10)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29120, 23899, 29117])).
% 25.90/17.66 tff(29122,plain,
% 25.90/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB10, constB11)) | v180(constB10) | (~v182(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB10, constB11)) | v180(constB10) | (~v182(constB11)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29123,plain,
% 25.90/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB10, constB11)) | v180(constB10) | (~v182(constB11)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29124,plain,
% 25.90/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB10, constB11)) | v180(constB10) | (~v182(constB11))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29123, 29122])).
% 25.90/17.66 tff(29125,plain,
% 25.90/17.66 (v180(constB10) | (~v182(constB11))),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29124, 23916, 2534])).
% 25.90/17.66 tff(29126,plain,
% 25.90/17.66 (~v182(constB11)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29125, 29121])).
% 25.90/17.66 tff(29127,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB11) | (~v196(constB11)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB11) | (~v196(constB11)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29128,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB11) | (~v196(constB11)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29129,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB11) | (~v196(constB11))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29128, 29127])).
% 25.90/17.66 tff(29130,plain,
% 25.90/17.66 (~v196(constB11)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29129, 23931, 29126])).
% 25.90/17.66 tff(29131,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB11) | v196(constB11) | (~v190(constB11)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB11) | v196(constB11) | (~v190(constB11)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29132,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB11) | v196(constB11) | (~v190(constB11)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29133,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB11) | v196(constB11) | (~v190(constB11))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29132, 29131])).
% 25.90/17.66 tff(29134,plain,
% 25.90/17.66 (v193(constB11) | (~v190(constB11))),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29133, 24051, 29130])).
% 25.90/17.66 tff(29135,plain,
% 25.90/17.66 (~v190(constB11)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29134, 29109])).
% 25.90/17.66 tff(29136,plain,
% 25.90/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB11, constB12)) | v190(constB11) | (~v192(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB11, constB12)) | v190(constB11) | (~v192(constB12)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29137,plain,
% 25.90/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB11, constB12)) | v190(constB11) | (~v192(constB12)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29138,plain,
% 25.90/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB11, constB12)) | v190(constB11) | (~v192(constB12))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29137, 29136])).
% 25.90/17.66 tff(29139,plain,
% 25.90/17.66 (v190(constB11) | (~v192(constB12))),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29138, 24066, 2698])).
% 25.90/17.66 tff(29140,plain,
% 25.90/17.66 (~v192(constB12)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29139, 29135])).
% 25.90/17.66 tff(29141,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB12) | (~v193(constB12)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB12) | (~v193(constB12)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29142,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB12) | (~v193(constB12)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29143,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB12) | (~v193(constB12))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29142, 29141])).
% 25.90/17.66 tff(29144,plain,
% 25.90/17.66 (~v193(constB12)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29143, 24081, 29140])).
% 25.90/17.66 tff(29145,plain,
% 25.90/17.66 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB12) | v196(constB12) | (~v190(constB12)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB12) | v196(constB12) | (~v190(constB12)))),
% 25.90/17.66 inference(rewrite,[status(thm)],[])).
% 25.90/17.66 tff(29146,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB12) | v196(constB12) | (~v190(constB12)))),
% 25.90/17.66 inference(quant_inst,[status(thm)],[])).
% 25.90/17.66 tff(29147,plain,
% 25.90/17.66 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB12) | v196(constB12) | (~v190(constB12))),
% 25.90/17.66 inference(modus_ponens,[status(thm)],[29146, 29145])).
% 25.90/17.66 tff(29148,plain,
% 25.90/17.66 (v196(constB12) | (~v190(constB12))),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29147, 24051, 29144])).
% 25.90/17.66 tff(29149,plain,
% 25.90/17.66 (~v190(constB12)),
% 25.90/17.66 inference(unit_resolution,[status(thm)],[29148, 28928])).
% 25.90/17.66 tff(29150,plain,
% 25.90/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB12, constB13)) | v190(constB12) | (~v192(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB12, constB13)) | v190(constB12) | (~v192(constB13)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29151,plain,
% 25.90/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB12, constB13)) | v190(constB12) | (~v192(constB13)))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29152,plain,
% 25.90/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB12, constB13)) | v190(constB12) | (~v192(constB13))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29151, 29150])).
% 25.90/17.67 tff(29153,plain,
% 25.90/17.67 (v190(constB12) | (~v192(constB13))),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29152, 24066, 2764])).
% 25.90/17.67 tff(29154,plain,
% 25.90/17.67 (~v192(constB13)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29153, 29149])).
% 25.90/17.67 tff(29155,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB13) | (~v201(constB13)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB13) | (~v201(constB13)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29156,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB13) | (~v201(constB13)))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29157,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB13) | (~v201(constB13))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29156, 29155])).
% 25.90/17.67 tff(29158,plain,
% 25.90/17.67 (~v201(constB13)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29157, 24108, 29154])).
% 25.90/17.67 tff(29159,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB12)) | (~v185(constB12)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB12)) | (~v185(constB12)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29160,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB12)) | (~v185(constB12)))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29161,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB12)) | (~v185(constB12))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29160, 29159])).
% 25.90/17.67 tff(29162,plain,
% 25.90/17.67 (~v185(constB12)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29161, 24010, 97])).
% 25.90/17.67 tff(29163,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB12) | (~v184(constB12)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB12) | (~v184(constB12)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29164,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB12) | (~v184(constB12)))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29165,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB12) | (~v184(constB12))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29164, 29163])).
% 25.90/17.67 tff(29166,plain,
% 25.90/17.67 (~v184(constB12)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29165, 24024, 29162])).
% 25.90/17.67 tff(29167,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB12) | (~v180(constB12)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB12) | (~v180(constB12)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29168,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB12) | (~v180(constB12)))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29169,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB12) | (~v180(constB12))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29168, 29167])).
% 25.90/17.67 tff(29170,plain,
% 25.90/17.67 (~v180(constB12)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29169, 23899, 29166])).
% 25.90/17.67 tff(29171,plain,
% 25.90/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB12, constB13)) | v180(constB12) | (~v182(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB12, constB13)) | v180(constB12) | (~v182(constB13)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29172,plain,
% 25.90/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB12, constB13)) | v180(constB12) | (~v182(constB13)))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29173,plain,
% 25.90/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB12, constB13)) | v180(constB12) | (~v182(constB13))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29172, 29171])).
% 25.90/17.67 tff(29174,plain,
% 25.90/17.67 (v180(constB12) | (~v182(constB13))),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29173, 23916, 2764])).
% 25.90/17.67 tff(29175,plain,
% 25.90/17.67 (~v182(constB13)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29174, 29170])).
% 25.90/17.67 tff(29176,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB13) | (~v205(constB13)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB13) | (~v205(constB13)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29177,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB13) | (~v205(constB13)))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29178,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB13) | (~v205(constB13))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29177, 29176])).
% 25.90/17.67 tff(29179,plain,
% 25.90/17.67 (~v205(constB13)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29178, 24139, 29175])).
% 25.90/17.67 tff(29180,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB13) | v205(constB13) | (~v200(constB13)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB13) | v205(constB13) | (~v200(constB13)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29181,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB13) | v205(constB13) | (~v200(constB13)))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29182,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB13) | v205(constB13) | (~v200(constB13))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29181, 29180])).
% 25.90/17.67 tff(29183,plain,
% 25.90/17.67 (v201(constB13) | (~v200(constB13))),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29182, 24153, 29179])).
% 25.90/17.67 tff(29184,plain,
% 25.90/17.67 (~v200(constB13)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29183, 29158])).
% 25.90/17.67 tff(29185,plain,
% 25.90/17.67 ($false),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29184, 28819])).
% 25.90/17.67 tff(29186,plain,(~(constB13 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.90/17.67 tff(29187,assumption,(constB69 = sK0_VarCurr), introduced(assumption)).
% 25.90/17.67 tff(29188,plain,
% 25.90/17.67 (v200(constB69) <=> v200(sK0_VarCurr)),
% 25.90/17.67 inference(monotonicity,[status(thm)],[29187])).
% 25.90/17.67 tff(29189,plain,
% 25.90/17.67 (v200(sK0_VarCurr) <=> v200(constB69)),
% 25.90/17.67 inference(symmetry,[status(thm)],[29188])).
% 25.90/17.67 tff(29190,plain,
% 25.90/17.67 (v200(constB69)),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[788, 29189])).
% 25.90/17.67 tff(29191,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB69, bitIndex2)) | v90(constB69, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB69, bitIndex2)) | v90(constB69, bitIndex2))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29192,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB69, bitIndex2)) | v90(constB69, bitIndex2))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29193,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB69, bitIndex2)) | v90(constB69, bitIndex2)),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29192, 29191])).
% 25.90/17.67 tff(29194,plain,
% 25.90/17.67 (~v88(constB69, bitIndex2)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29193, 28577, 10592])).
% 25.90/17.67 tff(29195,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB69, bitIndex0)) | v90(constB69, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB69, bitIndex0)) | v90(constB69, bitIndex0))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29196,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB69, bitIndex0)) | v90(constB69, bitIndex0))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29197,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB69, bitIndex0)) | v90(constB69, bitIndex0)),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29196, 29195])).
% 25.90/17.67 tff(29198,plain,
% 25.90/17.67 (~v88(constB69, bitIndex0)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29197, 23809, 10657])).
% 25.90/17.67 tff(29199,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB69, bitIndex1)) | v88(constB69, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB69, bitIndex1)) | v88(constB69, bitIndex1))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29200,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB69, bitIndex1)) | v88(constB69, bitIndex1))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29201,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB69, bitIndex1)) | v88(constB69, bitIndex1)),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29200, 29199])).
% 25.90/17.67 tff(29202,plain,
% 25.90/17.67 (v88(constB69, bitIndex1)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29201, 28592, 10623])).
% 25.90/17.67 tff(29203,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB69, bitIndex2) | (~v88(constB69, bitIndex1)) | v88(constB69, bitIndex0) | v143(constB69))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB69, bitIndex2) | (~v88(constB69, bitIndex1)) | v88(constB69, bitIndex0) | v143(constB69))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29204,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB69, bitIndex2) | (~v88(constB69, bitIndex1)) | v88(constB69, bitIndex0) | v143(constB69))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29205,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB69, bitIndex2) | (~v88(constB69, bitIndex1)) | v88(constB69, bitIndex0) | v143(constB69)),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29204, 29203])).
% 25.90/17.67 tff(29206,plain,
% 25.90/17.67 (v143(constB69)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29205, 28606, 29202, 29198, 29194])).
% 25.90/17.67 tff(29207,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB69)) | v142(constB69))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB69)) | v142(constB69))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29208,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB69)) | v142(constB69))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29209,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB69)) | v142(constB69)),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29208, 29207])).
% 25.90/17.67 tff(29210,plain,
% 25.90/17.67 (v142(constB69)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29209, 28620, 29206])).
% 25.90/17.67 tff(29211,plain,
% 25.90/17.67 (^[VarCurr: state_type] : refl(((~v142(VarCurr)) | v148(VarCurr)) <=> ((~v142(VarCurr)) | v148(VarCurr)))),
% 25.90/17.67 inference(bind,[status(th)],[])).
% 25.90/17.67 tff(29212,plain,
% 25.90/17.67 (![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr)) <=> ![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))),
% 25.90/17.67 inference(quant_intro,[status(thm)],[29211])).
% 25.90/17.67 tff(29213,plain,
% 25.90/17.67 (![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr)) <=> ![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29214,axiom,(![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2_1_1')).
% 25.90/17.67 tff(29215,plain,
% 25.90/17.67 (![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29214, 29213])).
% 25.90/17.67 tff(29216,plain,(
% 25.90/17.67 ![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))),
% 25.90/17.67 inference(skolemize,[status(sab)],[29215])).
% 25.90/17.67 tff(29217,plain,
% 25.90/17.67 (![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29216, 29212])).
% 25.90/17.67 tff(29218,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (v148(constB69) | (~v142(constB69)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB69) | (~v142(constB69)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29219,plain,
% 25.90/17.67 (((~v142(constB69)) | v148(constB69)) <=> (v148(constB69) | (~v142(constB69)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29220,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB69)) | v148(constB69))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (v148(constB69) | (~v142(constB69))))),
% 25.90/17.67 inference(monotonicity,[status(thm)],[29219])).
% 25.90/17.67 tff(29221,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB69)) | v148(constB69))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB69) | (~v142(constB69)))),
% 25.90/17.67 inference(transitivity,[status(thm)],[29220, 29218])).
% 25.90/17.67 tff(29222,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB69)) | v148(constB69))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29223,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB69) | (~v142(constB69))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29222, 29221])).
% 25.90/17.67 tff(29224,plain,
% 25.90/17.67 (v148(constB69)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29223, 29217, 29210])).
% 25.90/17.67 tff(29225,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB69)) | v167(constB69))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB69)) | v167(constB69))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29226,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB69)) | v167(constB69))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29227,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB69)) | v167(constB69)),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29226, 29225])).
% 25.90/17.67 tff(29228,plain,
% 25.90/17.67 (v167(constB69)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29227, 28631, 29210])).
% 25.90/17.67 tff(29229,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB69) | (~v167(constB69)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB69) | (~v167(constB69)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29230,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB69) | (~v167(constB69)))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29231,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB69) | (~v167(constB69))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29230, 29229])).
% 25.90/17.67 tff(29232,plain,
% 25.90/17.67 (v166(constB69)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29231, 28645, 29228])).
% 25.90/17.67 tff(29233,plain,
% 25.90/17.67 (^[VarNext: state_type] : refl(((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext))) <=> ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext))))),
% 25.90/17.67 inference(bind,[status(th)],[])).
% 25.90/17.67 tff(29234,plain,
% 25.90/17.67 (![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext))) <=> ![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))),
% 25.90/17.67 inference(quant_intro,[status(thm)],[29233])).
% 25.90/17.67 tff(29235,plain,
% 25.90/17.67 (![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext))) <=> ![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29236,plain,
% 25.90/17.67 (^[VarNext: state_type] : trans(monotonicity(rewrite(((~v166(VarNext)) | (~v148(VarNext))) <=> ((~v148(VarNext)) | (~v166(VarNext)))), ((((~v166(VarNext)) | (~v148(VarNext))) | v86(VarNext)) <=> (((~v148(VarNext)) | (~v166(VarNext))) | v86(VarNext)))), rewrite((((~v148(VarNext)) | (~v166(VarNext))) | v86(VarNext)) <=> ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))), ((((~v166(VarNext)) | (~v148(VarNext))) | v86(VarNext)) <=> ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))))),
% 25.90/17.67 inference(bind,[status(th)],[])).
% 25.90/17.67 tff(29237,plain,
% 25.90/17.67 (![VarNext: state_type] : (((~v166(VarNext)) | (~v148(VarNext))) | v86(VarNext)) <=> ![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))),
% 25.90/17.67 inference(quant_intro,[status(thm)],[29236])).
% 25.90/17.67 tff(29238,axiom,(![VarNext: state_type] : (((~v166(VarNext)) | (~v148(VarNext))) | v86(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_4_1_1')).
% 25.90/17.67 tff(29239,plain,
% 25.90/17.67 (![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29238, 29237])).
% 25.90/17.67 tff(29240,plain,
% 25.90/17.67 (![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29239, 29235])).
% 25.90/17.67 tff(29241,plain,(
% 25.90/17.67 ![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))),
% 25.90/17.67 inference(skolemize,[status(sab)],[29240])).
% 25.90/17.67 tff(29242,plain,
% 25.90/17.67 (![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29241, 29234])).
% 25.90/17.67 tff(29243,plain,
% 25.90/17.67 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB69) | (~v148(constB69)) | (~v166(constB69)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB69) | (~v148(constB69)) | (~v166(constB69)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29244,plain,
% 25.90/17.67 (((~v148(constB69)) | v86(constB69) | (~v166(constB69))) <=> (v86(constB69) | (~v148(constB69)) | (~v166(constB69)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29245,plain,
% 25.90/17.67 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB69)) | v86(constB69) | (~v166(constB69)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB69) | (~v148(constB69)) | (~v166(constB69))))),
% 25.90/17.67 inference(monotonicity,[status(thm)],[29244])).
% 25.90/17.67 tff(29246,plain,
% 25.90/17.67 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB69)) | v86(constB69) | (~v166(constB69)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB69) | (~v148(constB69)) | (~v166(constB69)))),
% 25.90/17.67 inference(transitivity,[status(thm)],[29245, 29243])).
% 25.90/17.67 tff(29247,plain,
% 25.90/17.67 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB69)) | v86(constB69) | (~v166(constB69)))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29248,plain,
% 25.90/17.67 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB69) | (~v148(constB69)) | (~v166(constB69))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29247, 29246])).
% 25.90/17.67 tff(29249,plain,
% 25.90/17.67 (v86(constB69)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29248, 29242, 29232, 29224])).
% 25.90/17.67 tff(29250,plain,
% 25.90/17.67 (^[VarCurr: state_type] : refl(((~v203(VarCurr)) | (~v86(VarCurr))) <=> ((~v203(VarCurr)) | (~v86(VarCurr))))),
% 25.90/17.67 inference(bind,[status(th)],[])).
% 25.90/17.67 tff(29251,plain,
% 25.90/17.67 (![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr))) <=> ![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))),
% 25.90/17.67 inference(quant_intro,[status(thm)],[29250])).
% 25.90/17.67 tff(29252,plain,
% 25.90/17.67 (![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr))) <=> ![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29253,axiom,(![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_49_1_1_1_2')).
% 25.90/17.67 tff(29254,plain,
% 25.90/17.67 (![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29253, 29252])).
% 25.90/17.67 tff(29255,plain,(
% 25.90/17.67 ![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))),
% 25.90/17.67 inference(skolemize,[status(sab)],[29254])).
% 25.90/17.67 tff(29256,plain,
% 25.90/17.67 (![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29255, 29251])).
% 25.90/17.67 tff(29257,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | ((~v203(constB69)) | (~v86(constB69)))) <=> ((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | (~v203(constB69)) | (~v86(constB69)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29258,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | ((~v203(constB69)) | (~v86(constB69)))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29259,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | (~v203(constB69)) | (~v86(constB69))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29258, 29257])).
% 25.90/17.67 tff(29260,plain,
% 25.90/17.67 (~v203(constB69)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29259, 29256, 29249])).
% 25.90/17.67 tff(29261,plain,
% 25.90/17.67 (^[VarCurr: state_type] : refl((v203(VarCurr) | (~v202(VarCurr))) <=> (v203(VarCurr) | (~v202(VarCurr))))),
% 25.90/17.67 inference(bind,[status(th)],[])).
% 25.90/17.67 tff(29262,plain,
% 25.90/17.67 (![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr))) <=> ![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))),
% 25.90/17.67 inference(quant_intro,[status(thm)],[29261])).
% 25.90/17.67 tff(29263,plain,
% 25.90/17.67 (![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr))) <=> ![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29264,plain,
% 25.90/17.67 (^[VarCurr: state_type] : rewrite(((~v202(VarCurr)) | v203(VarCurr)) <=> (v203(VarCurr) | (~v202(VarCurr))))),
% 25.90/17.67 inference(bind,[status(th)],[])).
% 25.90/17.67 tff(29265,plain,
% 25.90/17.67 (![VarCurr: state_type] : ((~v202(VarCurr)) | v203(VarCurr)) <=> ![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))),
% 25.90/17.67 inference(quant_intro,[status(thm)],[29264])).
% 25.90/17.67 tff(29266,axiom,(![VarCurr: state_type] : ((~v202(VarCurr)) | v203(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_50_1_1_1_1')).
% 25.90/17.67 tff(29267,plain,
% 25.90/17.67 (![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29266, 29265])).
% 25.90/17.67 tff(29268,plain,
% 25.90/17.67 (![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29267, 29263])).
% 25.90/17.67 tff(29269,plain,(
% 25.90/17.67 ![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))),
% 25.90/17.67 inference(skolemize,[status(sab)],[29268])).
% 25.90/17.67 tff(29270,plain,
% 25.90/17.67 (![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29269, 29262])).
% 25.90/17.67 tff(29271,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | (v203(constB69) | (~v202(constB69)))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | v203(constB69) | (~v202(constB69)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29272,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | (v203(constB69) | (~v202(constB69)))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29273,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | v203(constB69) | (~v202(constB69))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29272, 29271])).
% 25.90/17.67 tff(29274,plain,
% 25.90/17.67 (~v202(constB69)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29273, 29270, 29260])).
% 25.90/17.67 tff(29275,plain,
% 25.90/17.67 (^[VarCurr: state_type] : refl((v202(VarCurr) | (~v201(VarCurr))) <=> (v202(VarCurr) | (~v201(VarCurr))))),
% 25.90/17.67 inference(bind,[status(th)],[])).
% 25.90/17.67 tff(29276,plain,
% 25.90/17.67 (![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr))) <=> ![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))),
% 25.90/17.67 inference(quant_intro,[status(thm)],[29275])).
% 25.90/17.67 tff(29277,plain,
% 25.90/17.67 (![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr))) <=> ![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29278,plain,
% 25.90/17.67 (^[VarCurr: state_type] : rewrite(((~v201(VarCurr)) | v202(VarCurr)) <=> (v202(VarCurr) | (~v201(VarCurr))))),
% 25.90/17.67 inference(bind,[status(th)],[])).
% 25.90/17.67 tff(29279,plain,
% 25.90/17.67 (![VarCurr: state_type] : ((~v201(VarCurr)) | v202(VarCurr)) <=> ![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))),
% 25.90/17.67 inference(quant_intro,[status(thm)],[29278])).
% 25.90/17.67 tff(29280,axiom,(![VarCurr: state_type] : ((~v201(VarCurr)) | v202(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_51_1_1_1_1')).
% 25.90/17.67 tff(29281,plain,
% 25.90/17.67 (![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29280, 29279])).
% 25.90/17.67 tff(29282,plain,
% 25.90/17.67 (![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29281, 29277])).
% 25.90/17.67 tff(29283,plain,(
% 25.90/17.67 ![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))),
% 25.90/17.67 inference(skolemize,[status(sab)],[29282])).
% 25.90/17.67 tff(29284,plain,
% 25.90/17.67 (![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29283, 29276])).
% 25.90/17.67 tff(29285,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | (v202(constB69) | (~v201(constB69)))) <=> ((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | v202(constB69) | (~v201(constB69)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29286,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | (v202(constB69) | (~v201(constB69)))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29287,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | v202(constB69) | (~v201(constB69))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29286, 29285])).
% 25.90/17.67 tff(29288,plain,
% 25.90/17.67 (~v201(constB69)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29287, 29284, 29274])).
% 25.90/17.67 tff(29289,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB68)) | (~v185(constB68)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB68)) | (~v185(constB68)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29290,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB68)) | (~v185(constB68)))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29291,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB68)) | (~v185(constB68))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29290, 29289])).
% 25.90/17.67 tff(29292,plain,
% 25.90/17.67 (~v185(constB68)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29291, 24010, 10529])).
% 25.90/17.67 tff(29293,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB68) | (~v184(constB68)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB68) | (~v184(constB68)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29294,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB68) | (~v184(constB68)))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29295,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB68) | (~v184(constB68))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29294, 29293])).
% 25.90/17.67 tff(29296,plain,
% 25.90/17.67 (~v184(constB68)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29295, 24024, 29292])).
% 25.90/17.67 tff(29297,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB68) | (~v180(constB68)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB68) | (~v180(constB68)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29298,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB68) | (~v180(constB68)))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29299,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB68) | (~v180(constB68))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29298, 29297])).
% 25.90/17.67 tff(29300,plain,
% 25.90/17.67 (~v180(constB68)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29299, 23899, 29296])).
% 25.90/17.67 tff(29301,plain,
% 25.90/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB68, constB69)) | v180(constB68) | (~v182(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB68, constB69)) | v180(constB68) | (~v182(constB69)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29302,plain,
% 25.90/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB68, constB69)) | v180(constB68) | (~v182(constB69)))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29303,plain,
% 25.90/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB68, constB69)) | v180(constB68) | (~v182(constB69))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29302, 29301])).
% 25.90/17.67 tff(29304,plain,
% 25.90/17.67 (v180(constB68) | (~v182(constB69))),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29303, 23916, 10571])).
% 25.90/17.67 tff(29305,plain,
% 25.90/17.67 (~v182(constB69)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29304, 29300])).
% 25.90/17.67 tff(29306,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB69) | (~v205(constB69)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB69) | (~v205(constB69)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29307,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB69) | (~v205(constB69)))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29308,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB69) | (~v205(constB69))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29307, 29306])).
% 25.90/17.67 tff(29309,plain,
% 25.90/17.67 (~v205(constB69)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29308, 24139, 29305])).
% 25.90/17.67 tff(29310,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB69) | v205(constB69) | (~v200(constB69)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB69) | v205(constB69) | (~v200(constB69)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29311,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB69) | v205(constB69) | (~v200(constB69)))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29312,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB69) | v205(constB69) | (~v200(constB69))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29311, 29310])).
% 25.90/17.67 tff(29313,plain,
% 25.90/17.67 (v201(constB69) | (~v200(constB69))),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29312, 24153, 29309])).
% 25.90/17.67 tff(29314,plain,
% 25.90/17.67 (~v200(constB69)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29313, 29288])).
% 25.90/17.67 tff(29315,plain,
% 25.90/17.67 ($false),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29314, 29190])).
% 25.90/17.67 tff(29316,plain,(~(constB69 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.90/17.67 tff(29317,assumption,(constB15 = sK0_VarCurr), introduced(assumption)).
% 25.90/17.67 tff(29318,plain,
% 25.90/17.67 (v200(constB15) <=> v200(sK0_VarCurr)),
% 25.90/17.67 inference(monotonicity,[status(thm)],[29317])).
% 25.90/17.67 tff(29319,plain,
% 25.90/17.67 (v200(sK0_VarCurr) <=> v200(constB15)),
% 25.90/17.67 inference(symmetry,[status(thm)],[29318])).
% 25.90/17.67 tff(29320,plain,
% 25.90/17.67 (v200(constB15)),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[788, 29319])).
% 25.90/17.67 tff(29321,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB13, bitIndex2)) | v88(constB13, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB13, bitIndex2)) | v88(constB13, bitIndex2))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29322,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB13, bitIndex2)) | v88(constB13, bitIndex2))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29323,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB13, bitIndex2)) | v88(constB13, bitIndex2)),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29322, 29321])).
% 25.90/17.67 tff(29324,plain,
% 25.90/17.67 (v88(constB13, bitIndex2)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29323, 23683, 2785])).
% 25.90/17.67 tff(29325,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v139(constB13)) | (~v88(constB13, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v139(constB13)) | (~v88(constB13, bitIndex2)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29326,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v139(constB13)) | (~v88(constB13, bitIndex2)))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29327,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v139(constB13)) | (~v88(constB13, bitIndex2))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29326, 29325])).
% 25.90/17.67 tff(29328,plain,
% 25.90/17.67 (~v139(constB13)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29327, 23694, 29324])).
% 25.90/17.67 tff(29329,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v140(constB13)) | (~v88(constB13, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v140(constB13)) | (~v88(constB13, bitIndex2)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29330,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v140(constB13)) | (~v88(constB13, bitIndex2)))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29331,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v140(constB13)) | (~v88(constB13, bitIndex2))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29330, 29329])).
% 25.90/17.67 tff(29332,plain,
% 25.90/17.67 (~v140(constB13)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29331, 23705, 29324])).
% 25.90/17.67 tff(29333,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB13) | v140(constB13) | (~v170(constB13)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB13) | v140(constB13) | (~v170(constB13)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29334,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB13) | v140(constB13) | (~v170(constB13)))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29335,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB13) | v140(constB13) | (~v170(constB13))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29334, 29333])).
% 25.90/17.67 tff(29336,plain,
% 25.90/17.67 (~v170(constB13)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29335, 23719, 29332, 29328])).
% 25.90/17.67 tff(29337,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB13, bitIndex1)) | v90(constB13, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB13, bitIndex1)) | v90(constB13, bitIndex1))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29338,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB13, bitIndex1)) | v90(constB13, bitIndex1))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29339,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB13, bitIndex1)) | v90(constB13, bitIndex1)),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29338, 29337])).
% 25.90/17.67 tff(29340,plain,
% 25.90/17.67 (~v88(constB13, bitIndex1)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29339, 23764, 2826])).
% 25.90/17.67 tff(29341,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB13, bitIndex0)) | v90(constB13, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB13, bitIndex0)) | v90(constB13, bitIndex0))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29342,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB13, bitIndex0)) | v90(constB13, bitIndex0))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29343,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB13, bitIndex0)) | v90(constB13, bitIndex0)),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29342, 29341])).
% 25.90/17.67 tff(29344,plain,
% 25.90/17.67 (~v88(constB13, bitIndex0)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29343, 23809, 2867])).
% 25.90/17.67 tff(29345,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB13, bitIndex1) | v146(constB13) | v88(constB13, bitIndex0) | (~v88(constB13, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB13, bitIndex1) | v146(constB13) | v88(constB13, bitIndex0) | (~v88(constB13, bitIndex2)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29346,plain,
% 25.90/17.67 (((~v88(constB13, bitIndex2)) | v88(constB13, bitIndex1) | v88(constB13, bitIndex0) | v146(constB13)) <=> (v88(constB13, bitIndex1) | v146(constB13) | v88(constB13, bitIndex0) | (~v88(constB13, bitIndex2)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.67 tff(29347,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB13, bitIndex2)) | v88(constB13, bitIndex1) | v88(constB13, bitIndex0) | v146(constB13))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB13, bitIndex1) | v146(constB13) | v88(constB13, bitIndex0) | (~v88(constB13, bitIndex2))))),
% 25.90/17.67 inference(monotonicity,[status(thm)],[29346])).
% 25.90/17.67 tff(29348,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB13, bitIndex2)) | v88(constB13, bitIndex1) | v88(constB13, bitIndex0) | v146(constB13))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB13, bitIndex1) | v146(constB13) | v88(constB13, bitIndex0) | (~v88(constB13, bitIndex2)))),
% 25.90/17.67 inference(transitivity,[status(thm)],[29347, 29345])).
% 25.90/17.67 tff(29349,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB13, bitIndex2)) | v88(constB13, bitIndex1) | v88(constB13, bitIndex0) | v146(constB13))),
% 25.90/17.67 inference(quant_inst,[status(thm)],[])).
% 25.90/17.67 tff(29350,plain,
% 25.90/17.67 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB13, bitIndex1) | v146(constB13) | v88(constB13, bitIndex0) | (~v88(constB13, bitIndex2))),
% 25.90/17.67 inference(modus_ponens,[status(thm)],[29349, 29348])).
% 25.90/17.67 tff(29351,plain,
% 25.90/17.67 (v146(constB13)),
% 25.90/17.67 inference(unit_resolution,[status(thm)],[29350, 23823, 29324, 29344, 29340])).
% 25.90/17.67 tff(29352,plain,
% 25.90/17.67 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB13) | (~v146(constB13)))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB13) | (~v146(constB13)))),
% 25.90/17.67 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29353,plain,
% 25.90/17.68 (((~v146(constB13)) | v145(constB13)) <=> (v145(constB13) | (~v146(constB13)))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29354,plain,
% 25.90/17.68 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB13)) | v145(constB13))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB13) | (~v146(constB13))))),
% 25.90/17.68 inference(monotonicity,[status(thm)],[29353])).
% 25.90/17.68 tff(29355,plain,
% 25.90/17.68 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB13)) | v145(constB13))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB13) | (~v146(constB13)))),
% 25.90/17.68 inference(transitivity,[status(thm)],[29354, 29352])).
% 25.90/17.68 tff(29356,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB13)) | v145(constB13))),
% 25.90/17.68 inference(quant_inst,[status(thm)],[])).
% 25.90/17.68 tff(29357,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB13) | (~v146(constB13))),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[29356, 29355])).
% 25.90/17.68 tff(29358,plain,
% 25.90/17.68 (v145(constB13)),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29357, 23837, 29351])).
% 25.90/17.68 tff(29359,plain,
% 25.90/17.68 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | (v166(constB13) | (~v145(constB13)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB13) | (~v145(constB13)))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29360,plain,
% 25.90/17.68 (((~v145(constB13)) | v166(constB13)) <=> (v166(constB13) | (~v145(constB13)))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29361,plain,
% 25.90/17.68 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB13)) | v166(constB13))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | (v166(constB13) | (~v145(constB13))))),
% 25.90/17.68 inference(monotonicity,[status(thm)],[29360])).
% 25.90/17.68 tff(29362,plain,
% 25.90/17.68 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB13)) | v166(constB13))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB13) | (~v145(constB13)))),
% 25.90/17.68 inference(transitivity,[status(thm)],[29361, 29359])).
% 25.90/17.68 tff(29363,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB13)) | v166(constB13))),
% 25.90/17.68 inference(quant_inst,[status(thm)],[])).
% 25.90/17.68 tff(29364,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB13) | (~v145(constB13))),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[29363, 29362])).
% 25.90/17.68 tff(29365,plain,
% 25.90/17.68 (v166(constB13)),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29364, 23851, 29358])).
% 25.90/17.68 tff(29366,plain,
% 25.90/17.68 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB13)) | v170(constB13) | (~v166(constB13)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB13)) | v170(constB13) | (~v166(constB13)))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29367,plain,
% 25.90/17.68 (((~v166(constB13)) | v170(constB13) | (~v163(constB13))) <=> ((~v163(constB13)) | v170(constB13) | (~v166(constB13)))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29368,plain,
% 25.90/17.68 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB13)) | v170(constB13) | (~v163(constB13)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB13)) | v170(constB13) | (~v166(constB13))))),
% 25.90/17.68 inference(monotonicity,[status(thm)],[29367])).
% 25.90/17.68 tff(29369,plain,
% 25.90/17.68 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB13)) | v170(constB13) | (~v163(constB13)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB13)) | v170(constB13) | (~v166(constB13)))),
% 25.90/17.68 inference(transitivity,[status(thm)],[29368, 29366])).
% 25.90/17.68 tff(29370,plain,
% 25.90/17.68 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB13)) | v170(constB13) | (~v163(constB13)))),
% 25.90/17.68 inference(quant_inst,[status(thm)],[])).
% 25.90/17.68 tff(29371,plain,
% 25.90/17.68 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB13)) | v170(constB13) | (~v166(constB13))),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[29370, 29369])).
% 25.90/17.68 tff(29372,plain,
% 25.90/17.68 (~v163(constB13)),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29371, 23868, 29365, 29336])).
% 25.90/17.68 tff(29373,plain,
% 25.90/17.68 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB13) | (~v184(constB13)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB13) | (~v184(constB13)))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29374,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB13) | (~v184(constB13)))),
% 25.90/17.68 inference(quant_inst,[status(thm)],[])).
% 25.90/17.68 tff(29375,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB13) | (~v184(constB13))),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[29374, 29373])).
% 25.90/17.68 tff(29376,plain,
% 25.90/17.68 (~v184(constB13)),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29375, 23885, 29372])).
% 25.90/17.68 tff(29377,plain,
% 25.90/17.68 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB13) | (~v180(constB13)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB13) | (~v180(constB13)))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29378,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB13) | (~v180(constB13)))),
% 25.90/17.68 inference(quant_inst,[status(thm)],[])).
% 25.90/17.68 tff(29379,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB13) | (~v180(constB13))),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[29378, 29377])).
% 25.90/17.68 tff(29380,plain,
% 25.90/17.68 (~v180(constB13)),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29379, 23899, 29376])).
% 25.90/17.68 tff(29381,plain,
% 25.90/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB13, constB14)) | v180(constB13) | (~v182(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB13, constB14)) | v180(constB13) | (~v182(constB14)))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29382,plain,
% 25.90/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB13, constB14)) | v180(constB13) | (~v182(constB14)))),
% 25.90/17.68 inference(quant_inst,[status(thm)],[])).
% 25.90/17.68 tff(29383,plain,
% 25.90/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB13, constB14)) | v180(constB13) | (~v182(constB14))),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[29382, 29381])).
% 25.90/17.68 tff(29384,plain,
% 25.90/17.68 (v180(constB13) | (~v182(constB14))),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29383, 23916, 2908])).
% 25.90/17.68 tff(29385,plain,
% 25.90/17.68 (~v182(constB14)),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29384, 29380])).
% 25.90/17.68 tff(29386,plain,
% 25.90/17.68 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB14) | (~v196(constB14)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB14) | (~v196(constB14)))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29387,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB14) | (~v196(constB14)))),
% 25.90/17.68 inference(quant_inst,[status(thm)],[])).
% 25.90/17.68 tff(29388,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB14) | (~v196(constB14))),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[29387, 29386])).
% 25.90/17.68 tff(29389,plain,
% 25.90/17.68 (~v196(constB14)),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29388, 23931, 29385])).
% 25.90/17.68 tff(29390,plain,
% 25.90/17.68 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB13) | (~v193(constB13)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB13) | (~v193(constB13)))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29391,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB13) | (~v193(constB13)))),
% 25.90/17.68 inference(quant_inst,[status(thm)],[])).
% 25.90/17.68 tff(29392,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB13) | (~v193(constB13))),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[29391, 29390])).
% 25.90/17.68 tff(29393,plain,
% 25.90/17.68 (~v193(constB13)),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29392, 24081, 29154])).
% 25.90/17.68 tff(29394,plain,
% 25.90/17.68 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB13) | (~v196(constB13)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB13) | (~v196(constB13)))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29395,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB13) | (~v196(constB13)))),
% 25.90/17.68 inference(quant_inst,[status(thm)],[])).
% 25.90/17.68 tff(29396,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB13) | (~v196(constB13))),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[29395, 29394])).
% 25.90/17.68 tff(29397,plain,
% 25.90/17.68 (~v196(constB13)),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29396, 23931, 29175])).
% 25.90/17.68 tff(29398,plain,
% 25.90/17.68 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB13) | v196(constB13) | (~v190(constB13)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB13) | v196(constB13) | (~v190(constB13)))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29399,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB13) | v196(constB13) | (~v190(constB13)))),
% 25.90/17.68 inference(quant_inst,[status(thm)],[])).
% 25.90/17.68 tff(29400,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB13) | v196(constB13) | (~v190(constB13))),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[29399, 29398])).
% 25.90/17.68 tff(29401,plain,
% 25.90/17.68 (v193(constB13) | (~v190(constB13))),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29400, 24051, 29397])).
% 25.90/17.68 tff(29402,plain,
% 25.90/17.68 (~v190(constB13)),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29401, 29393])).
% 25.90/17.68 tff(29403,plain,
% 25.90/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB13, constB14)) | v190(constB13) | (~v192(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB13, constB14)) | v190(constB13) | (~v192(constB14)))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29404,plain,
% 25.90/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB13, constB14)) | v190(constB13) | (~v192(constB14)))),
% 25.90/17.68 inference(quant_inst,[status(thm)],[])).
% 25.90/17.68 tff(29405,plain,
% 25.90/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB13, constB14)) | v190(constB13) | (~v192(constB14))),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[29404, 29403])).
% 25.90/17.68 tff(29406,plain,
% 25.90/17.68 (v190(constB13) | (~v192(constB14))),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29405, 24066, 2908])).
% 25.90/17.68 tff(29407,plain,
% 25.90/17.68 (~v192(constB14)),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29406, 29402])).
% 25.90/17.68 tff(29408,plain,
% 25.90/17.68 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB14) | (~v193(constB14)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB14) | (~v193(constB14)))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29409,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB14) | (~v193(constB14)))),
% 25.90/17.68 inference(quant_inst,[status(thm)],[])).
% 25.90/17.68 tff(29410,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB14) | (~v193(constB14))),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[29409, 29408])).
% 25.90/17.68 tff(29411,plain,
% 25.90/17.68 (~v193(constB14)),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29410, 24081, 29407])).
% 25.90/17.68 tff(29412,plain,
% 25.90/17.68 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB14) | v196(constB14) | (~v190(constB14)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB14) | v196(constB14) | (~v190(constB14)))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29413,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB14) | v196(constB14) | (~v190(constB14)))),
% 25.90/17.68 inference(quant_inst,[status(thm)],[])).
% 25.90/17.68 tff(29414,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB14) | v196(constB14) | (~v190(constB14))),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[29413, 29412])).
% 25.90/17.68 tff(29415,plain,
% 25.90/17.68 (v196(constB14) | (~v190(constB14))),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29414, 24051, 29411])).
% 25.90/17.68 tff(29416,plain,
% 25.90/17.68 (~v190(constB14)),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29415, 29389])).
% 25.90/17.68 tff(29417,plain,
% 25.90/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB14, constB15)) | v190(constB14) | (~v192(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB14, constB15)) | v190(constB14) | (~v192(constB15)))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29418,plain,
% 25.90/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB14, constB15)) | v190(constB14) | (~v192(constB15)))),
% 25.90/17.68 inference(quant_inst,[status(thm)],[])).
% 25.90/17.68 tff(29419,plain,
% 25.90/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB14, constB15)) | v190(constB14) | (~v192(constB15))),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[29418, 29417])).
% 25.90/17.68 tff(29420,plain,
% 25.90/17.68 (v190(constB14) | (~v192(constB15))),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29419, 24066, 2967])).
% 25.90/17.68 tff(29421,plain,
% 25.90/17.68 (~v192(constB15)),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29420, 29416])).
% 25.90/17.68 tff(29422,plain,
% 25.90/17.68 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB15) | (~v201(constB15)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB15) | (~v201(constB15)))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29423,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB15) | (~v201(constB15)))),
% 25.90/17.68 inference(quant_inst,[status(thm)],[])).
% 25.90/17.68 tff(29424,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB15) | (~v201(constB15))),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[29423, 29422])).
% 25.90/17.68 tff(29425,plain,
% 25.90/17.68 (~v201(constB15)),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29424, 24108, 29421])).
% 25.90/17.68 tff(29426,plain,
% 25.90/17.68 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB14)) | (~v185(constB14)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB14)) | (~v185(constB14)))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29427,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB14)) | (~v185(constB14)))),
% 25.90/17.68 inference(quant_inst,[status(thm)],[])).
% 25.90/17.68 tff(29428,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB14)) | (~v185(constB14))),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[29427, 29426])).
% 25.90/17.68 tff(29429,plain,
% 25.90/17.68 (~v185(constB14)),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29428, 24010, 9])).
% 25.90/17.68 tff(29430,plain,
% 25.90/17.68 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB14) | (~v184(constB14)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB14) | (~v184(constB14)))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29431,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB14) | (~v184(constB14)))),
% 25.90/17.68 inference(quant_inst,[status(thm)],[])).
% 25.90/17.68 tff(29432,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB14) | (~v184(constB14))),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[29431, 29430])).
% 25.90/17.68 tff(29433,plain,
% 25.90/17.68 (~v184(constB14)),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29432, 24024, 29429])).
% 25.90/17.68 tff(29434,plain,
% 25.90/17.68 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB14) | (~v180(constB14)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB14) | (~v180(constB14)))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29435,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB14) | (~v180(constB14)))),
% 25.90/17.68 inference(quant_inst,[status(thm)],[])).
% 25.90/17.68 tff(29436,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB14) | (~v180(constB14))),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[29435, 29434])).
% 25.90/17.68 tff(29437,plain,
% 25.90/17.68 (~v180(constB14)),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29436, 23899, 29433])).
% 25.90/17.68 tff(29438,plain,
% 25.90/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB14, constB15)) | v180(constB14) | (~v182(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB14, constB15)) | v180(constB14) | (~v182(constB15)))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29439,plain,
% 25.90/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB14, constB15)) | v180(constB14) | (~v182(constB15)))),
% 25.90/17.68 inference(quant_inst,[status(thm)],[])).
% 25.90/17.68 tff(29440,plain,
% 25.90/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB14, constB15)) | v180(constB14) | (~v182(constB15))),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[29439, 29438])).
% 25.90/17.68 tff(29441,plain,
% 25.90/17.68 (v180(constB14) | (~v182(constB15))),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29440, 23916, 2967])).
% 25.90/17.68 tff(29442,plain,
% 25.90/17.68 (~v182(constB15)),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29441, 29437])).
% 25.90/17.68 tff(29443,plain,
% 25.90/17.68 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB15) | (~v205(constB15)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB15) | (~v205(constB15)))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29444,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB15) | (~v205(constB15)))),
% 25.90/17.68 inference(quant_inst,[status(thm)],[])).
% 25.90/17.68 tff(29445,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB15) | (~v205(constB15))),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[29444, 29443])).
% 25.90/17.68 tff(29446,plain,
% 25.90/17.68 (~v205(constB15)),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29445, 24139, 29442])).
% 25.90/17.68 tff(29447,plain,
% 25.90/17.68 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB15) | v205(constB15) | (~v200(constB15)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB15) | v205(constB15) | (~v200(constB15)))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29448,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB15) | v205(constB15) | (~v200(constB15)))),
% 25.90/17.68 inference(quant_inst,[status(thm)],[])).
% 25.90/17.68 tff(29449,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB15) | v205(constB15) | (~v200(constB15))),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[29448, 29447])).
% 25.90/17.68 tff(29450,plain,
% 25.90/17.68 (v201(constB15) | (~v200(constB15))),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29449, 24153, 29446])).
% 25.90/17.68 tff(29451,plain,
% 25.90/17.68 (~v200(constB15)),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29450, 29425])).
% 25.90/17.68 tff(29452,plain,
% 25.90/17.68 ($false),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29451, 29320])).
% 25.90/17.68 tff(29453,plain,(~(constB15 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.90/17.68 tff(29454,assumption,(constB132 = sK0_VarCurr), introduced(assumption)).
% 25.90/17.68 tff(29455,plain,
% 25.90/17.68 (v1(constB132) <=> v1(sK0_VarCurr)),
% 25.90/17.68 inference(monotonicity,[status(thm)],[29454])).
% 25.90/17.68 tff(29456,plain,
% 25.90/17.68 (v1(sK0_VarCurr) <=> v1(constB132)),
% 25.90/17.68 inference(symmetry,[status(thm)],[29455])).
% 25.90/17.68 tff(29457,plain,
% 25.90/17.68 ((~v1(sK0_VarCurr)) <=> (~v1(constB132))),
% 25.90/17.68 inference(monotonicity,[status(thm)],[29456])).
% 25.90/17.68 tff(29458,plain,
% 25.90/17.68 (~v1(constB132)),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[1, 29457])).
% 25.90/17.68 tff(29459,plain,
% 25.90/17.68 ($false),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[21229, 29458])).
% 25.90/17.68 tff(29460,plain,((~(constB132 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.90/17.68 tff(29461,plain,
% 25.90/17.68 (~(constB132 = sK0_VarCurr)),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29460, 1])).
% 25.90/17.68 tff(29462,assumption,(constB175 = sK0_VarCurr), introduced(assumption)).
% 25.90/17.68 tff(29463,plain,
% 25.90/17.68 (v200(constB175) <=> v200(sK0_VarCurr)),
% 25.90/17.68 inference(monotonicity,[status(thm)],[29462])).
% 25.90/17.68 tff(29464,plain,
% 25.90/17.68 (v200(sK0_VarCurr) <=> v200(constB175)),
% 25.90/17.68 inference(symmetry,[status(thm)],[29463])).
% 25.90/17.68 tff(29465,plain,
% 25.90/17.68 (v200(constB175)),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[788, 29464])).
% 25.90/17.68 tff(29466,plain,
% 25.90/17.68 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB173, bitIndex2)) | v88(constB173, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB173, bitIndex2)) | v88(constB173, bitIndex2))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29467,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB173, bitIndex2)) | v88(constB173, bitIndex2))),
% 25.90/17.68 inference(quant_inst,[status(thm)],[])).
% 25.90/17.68 tff(29468,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB173, bitIndex2)) | v88(constB173, bitIndex2)),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[29467, 29466])).
% 25.90/17.68 tff(29469,plain,
% 25.90/17.68 (v88(constB173, bitIndex2)),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29468, 23683, 26178])).
% 25.90/17.68 tff(29470,plain,
% 25.90/17.68 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v139(constB173)) | (~v88(constB173, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v139(constB173)) | (~v88(constB173, bitIndex2)))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29471,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v139(constB173)) | (~v88(constB173, bitIndex2)))),
% 25.90/17.68 inference(quant_inst,[status(thm)],[])).
% 25.90/17.68 tff(29472,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v139(constB173)) | (~v88(constB173, bitIndex2))),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[29471, 29470])).
% 25.90/17.68 tff(29473,plain,
% 25.90/17.68 (~v139(constB173)),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29472, 23694, 29469])).
% 25.90/17.68 tff(29474,plain,
% 25.90/17.68 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB173, bitIndex0)) | v90(constB173, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB173, bitIndex0)) | v90(constB173, bitIndex0))),
% 25.90/17.68 inference(rewrite,[status(thm)],[])).
% 25.90/17.68 tff(29475,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB173, bitIndex0)) | v90(constB173, bitIndex0))),
% 25.90/17.68 inference(quant_inst,[status(thm)],[])).
% 25.90/17.68 tff(29476,plain,
% 25.90/17.68 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB173, bitIndex0)) | v90(constB173, bitIndex0)),
% 25.90/17.68 inference(modus_ponens,[status(thm)],[29475, 29474])).
% 25.90/17.68 tff(29477,plain,
% 25.90/17.68 (~v88(constB173, bitIndex0)),
% 25.90/17.68 inference(unit_resolution,[status(thm)],[29476, 23809, 26220])).
% 25.90/17.68 tff(29478,plain,
% 25.90/17.68 (^[VarCurr: state_type] : refl(((~v140(VarCurr)) | v88(VarCurr, bitIndex0)) <=> ((~v140(VarCurr)) | v88(VarCurr, bitIndex0)))),
% 25.97/17.68 inference(bind,[status(th)],[])).
% 25.97/17.68 tff(29479,plain,
% 25.97/17.68 (![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, bitIndex0))),
% 25.97/17.68 inference(quant_intro,[status(thm)],[29478])).
% 25.97/17.68 tff(29480,plain,
% 25.97/17.68 (![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, bitIndex0))),
% 25.97/17.68 inference(rewrite,[status(thm)],[])).
% 25.97/17.68 tff(29481,axiom,(![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_2')).
% 25.97/17.68 tff(29482,plain,
% 25.97/17.68 (![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, bitIndex0))),
% 25.97/17.68 inference(modus_ponens,[status(thm)],[29481, 29480])).
% 25.97/17.68 tff(29483,plain,(
% 25.97/17.68 ![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, bitIndex0))),
% 25.97/17.68 inference(skolemize,[status(sab)],[29482])).
% 25.97/17.68 tff(29484,plain,
% 25.97/17.68 (![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, bitIndex0))),
% 25.97/17.68 inference(modus_ponens,[status(thm)],[29483, 29479])).
% 25.97/17.68 tff(29485,plain,
% 25.97/17.68 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, bitIndex0))) | ((~v140(constB173)) | v88(constB173, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, bitIndex0))) | (~v140(constB173)) | v88(constB173, bitIndex0))),
% 25.97/17.68 inference(rewrite,[status(thm)],[])).
% 25.97/17.68 tff(29486,plain,
% 25.97/17.68 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, bitIndex0))) | ((~v140(constB173)) | v88(constB173, bitIndex0))),
% 25.97/17.68 inference(quant_inst,[status(thm)],[])).
% 25.97/17.68 tff(29487,plain,
% 25.97/17.68 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, bitIndex0))) | (~v140(constB173)) | v88(constB173, bitIndex0)),
% 25.97/17.68 inference(modus_ponens,[status(thm)],[29486, 29485])).
% 25.97/17.68 tff(29488,plain,
% 25.97/17.68 (~v140(constB173)),
% 25.97/17.68 inference(unit_resolution,[status(thm)],[29487, 29484, 29477])).
% 25.97/17.68 tff(29489,plain,
% 25.97/17.68 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB173) | v140(constB173) | (~v170(constB173)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB173) | v140(constB173) | (~v170(constB173)))),
% 25.97/17.68 inference(rewrite,[status(thm)],[])).
% 25.97/17.68 tff(29490,plain,
% 25.97/17.68 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB173) | v140(constB173) | (~v170(constB173)))),
% 25.97/17.68 inference(quant_inst,[status(thm)],[])).
% 25.97/17.68 tff(29491,plain,
% 25.97/17.68 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB173) | v140(constB173) | (~v170(constB173))),
% 25.97/17.68 inference(modus_ponens,[status(thm)],[29490, 29489])).
% 25.97/17.68 tff(29492,plain,
% 25.97/17.68 (~v170(constB173)),
% 25.97/17.68 inference(unit_resolution,[status(thm)],[29491, 23719, 29488, 29473])).
% 25.97/17.68 tff(29493,plain,
% 25.97/17.68 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB173, bitIndex1)) | v90(constB173, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB173, bitIndex1)) | v90(constB173, bitIndex1))),
% 25.97/17.68 inference(rewrite,[status(thm)],[])).
% 25.97/17.68 tff(29494,plain,
% 25.97/17.68 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB173, bitIndex1)) | v90(constB173, bitIndex1))),
% 25.97/17.68 inference(quant_inst,[status(thm)],[])).
% 25.97/17.68 tff(29495,plain,
% 25.97/17.68 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB173, bitIndex1)) | v90(constB173, bitIndex1)),
% 25.97/17.68 inference(modus_ponens,[status(thm)],[29494, 29493])).
% 25.97/17.68 tff(29496,plain,
% 25.97/17.68 (~v88(constB173, bitIndex1)),
% 25.97/17.68 inference(unit_resolution,[status(thm)],[29495, 23764, 26211])).
% 25.97/17.68 tff(29497,plain,
% 25.97/17.68 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB173, bitIndex0) | (~v88(constB173, bitIndex2)) | v88(constB173, bitIndex1) | v146(constB173))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB173, bitIndex0) | (~v88(constB173, bitIndex2)) | v88(constB173, bitIndex1) | v146(constB173))),
% 25.97/17.68 inference(rewrite,[status(thm)],[])).
% 25.97/17.68 tff(29498,plain,
% 25.97/17.68 (((~v88(constB173, bitIndex2)) | v88(constB173, bitIndex1) | v88(constB173, bitIndex0) | v146(constB173)) <=> (v88(constB173, bitIndex0) | (~v88(constB173, bitIndex2)) | v88(constB173, bitIndex1) | v146(constB173))),
% 25.97/17.68 inference(rewrite,[status(thm)],[])).
% 25.97/17.68 tff(29499,plain,
% 25.97/17.68 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB173, bitIndex2)) | v88(constB173, bitIndex1) | v88(constB173, bitIndex0) | v146(constB173))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB173, bitIndex0) | (~v88(constB173, bitIndex2)) | v88(constB173, bitIndex1) | v146(constB173)))),
% 25.97/17.68 inference(monotonicity,[status(thm)],[29498])).
% 25.97/17.68 tff(29500,plain,
% 25.97/17.68 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB173, bitIndex2)) | v88(constB173, bitIndex1) | v88(constB173, bitIndex0) | v146(constB173))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB173, bitIndex0) | (~v88(constB173, bitIndex2)) | v88(constB173, bitIndex1) | v146(constB173))),
% 25.97/17.68 inference(transitivity,[status(thm)],[29499, 29497])).
% 25.97/17.68 tff(29501,plain,
% 25.97/17.68 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB173, bitIndex2)) | v88(constB173, bitIndex1) | v88(constB173, bitIndex0) | v146(constB173))),
% 25.97/17.68 inference(quant_inst,[status(thm)],[])).
% 25.97/17.68 tff(29502,plain,
% 25.97/17.68 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB173, bitIndex0) | (~v88(constB173, bitIndex2)) | v88(constB173, bitIndex1) | v146(constB173)),
% 25.97/17.68 inference(modus_ponens,[status(thm)],[29501, 29500])).
% 25.97/17.68 tff(29503,plain,
% 25.97/17.68 (v146(constB173)),
% 25.97/17.68 inference(unit_resolution,[status(thm)],[29502, 23823, 29477, 29469, 29496])).
% 25.97/17.68 tff(29504,plain,
% 25.97/17.68 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB173) | (~v146(constB173)))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB173) | (~v146(constB173)))),
% 25.97/17.68 inference(rewrite,[status(thm)],[])).
% 25.97/17.68 tff(29505,plain,
% 25.97/17.68 (((~v146(constB173)) | v145(constB173)) <=> (v145(constB173) | (~v146(constB173)))),
% 25.97/17.68 inference(rewrite,[status(thm)],[])).
% 25.97/17.68 tff(29506,plain,
% 25.97/17.68 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB173)) | v145(constB173))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB173) | (~v146(constB173))))),
% 25.97/17.68 inference(monotonicity,[status(thm)],[29505])).
% 25.97/17.68 tff(29507,plain,
% 25.97/17.68 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB173)) | v145(constB173))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB173) | (~v146(constB173)))),
% 25.97/17.68 inference(transitivity,[status(thm)],[29506, 29504])).
% 25.97/17.68 tff(29508,plain,
% 25.97/17.68 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB173)) | v145(constB173))),
% 25.97/17.68 inference(quant_inst,[status(thm)],[])).
% 25.97/17.68 tff(29509,plain,
% 25.97/17.68 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB173) | (~v146(constB173))),
% 25.97/17.68 inference(modus_ponens,[status(thm)],[29508, 29507])).
% 25.97/17.68 tff(29510,plain,
% 25.97/17.68 (v145(constB173)),
% 25.97/17.68 inference(unit_resolution,[status(thm)],[29509, 23837, 29503])).
% 25.97/17.68 tff(29511,plain,
% 25.97/17.68 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | (v166(constB173) | (~v145(constB173)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB173) | (~v145(constB173)))),
% 25.97/17.68 inference(rewrite,[status(thm)],[])).
% 25.97/17.68 tff(29512,plain,
% 25.97/17.68 (((~v145(constB173)) | v166(constB173)) <=> (v166(constB173) | (~v145(constB173)))),
% 25.97/17.68 inference(rewrite,[status(thm)],[])).
% 25.97/17.68 tff(29513,plain,
% 25.97/17.68 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB173)) | v166(constB173))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | (v166(constB173) | (~v145(constB173))))),
% 25.97/17.68 inference(monotonicity,[status(thm)],[29512])).
% 25.97/17.68 tff(29514,plain,
% 25.97/17.68 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB173)) | v166(constB173))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB173) | (~v145(constB173)))),
% 25.97/17.68 inference(transitivity,[status(thm)],[29513, 29511])).
% 25.97/17.68 tff(29515,plain,
% 25.97/17.68 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB173)) | v166(constB173))),
% 25.97/17.68 inference(quant_inst,[status(thm)],[])).
% 25.97/17.68 tff(29516,plain,
% 25.97/17.68 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB173) | (~v145(constB173))),
% 25.97/17.68 inference(modus_ponens,[status(thm)],[29515, 29514])).
% 25.97/17.68 tff(29517,plain,
% 25.97/17.68 (v166(constB173)),
% 25.97/17.68 inference(unit_resolution,[status(thm)],[29516, 23851, 29510])).
% 25.97/17.68 tff(29518,plain,
% 25.97/17.68 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB173)) | v170(constB173) | (~v166(constB173)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB173)) | v170(constB173) | (~v166(constB173)))),
% 25.97/17.68 inference(rewrite,[status(thm)],[])).
% 25.97/17.68 tff(29519,plain,
% 25.97/17.68 (((~v166(constB173)) | v170(constB173) | (~v163(constB173))) <=> ((~v163(constB173)) | v170(constB173) | (~v166(constB173)))),
% 25.97/17.68 inference(rewrite,[status(thm)],[])).
% 25.97/17.68 tff(29520,plain,
% 25.97/17.68 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB173)) | v170(constB173) | (~v163(constB173)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB173)) | v170(constB173) | (~v166(constB173))))),
% 25.97/17.68 inference(monotonicity,[status(thm)],[29519])).
% 25.97/17.68 tff(29521,plain,
% 25.97/17.68 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB173)) | v170(constB173) | (~v163(constB173)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB173)) | v170(constB173) | (~v166(constB173)))),
% 25.97/17.68 inference(transitivity,[status(thm)],[29520, 29518])).
% 25.97/17.68 tff(29522,plain,
% 25.97/17.68 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB173)) | v170(constB173) | (~v163(constB173)))),
% 25.97/17.68 inference(quant_inst,[status(thm)],[])).
% 25.97/17.68 tff(29523,plain,
% 25.97/17.68 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB173)) | v170(constB173) | (~v166(constB173))),
% 25.97/17.68 inference(modus_ponens,[status(thm)],[29522, 29521])).
% 25.97/17.68 tff(29524,plain,
% 25.97/17.68 (~v163(constB173)),
% 25.97/17.68 inference(unit_resolution,[status(thm)],[29523, 23868, 29517, 29492])).
% 25.97/17.68 tff(29525,plain,
% 25.97/17.68 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB173) | (~v184(constB173)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB173) | (~v184(constB173)))),
% 25.97/17.68 inference(rewrite,[status(thm)],[])).
% 25.97/17.68 tff(29526,plain,
% 25.97/17.68 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB173) | (~v184(constB173)))),
% 25.97/17.68 inference(quant_inst,[status(thm)],[])).
% 25.97/17.68 tff(29527,plain,
% 25.97/17.68 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB173) | (~v184(constB173))),
% 25.97/17.68 inference(modus_ponens,[status(thm)],[29526, 29525])).
% 25.97/17.68 tff(29528,plain,
% 25.97/17.68 (~v184(constB173)),
% 25.97/17.68 inference(unit_resolution,[status(thm)],[29527, 23885, 29524])).
% 25.97/17.68 tff(29529,plain,
% 25.97/17.68 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB173) | (~v180(constB173)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB173) | (~v180(constB173)))),
% 25.97/17.68 inference(rewrite,[status(thm)],[])).
% 25.97/17.68 tff(29530,plain,
% 25.97/17.68 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB173) | (~v180(constB173)))),
% 25.97/17.68 inference(quant_inst,[status(thm)],[])).
% 25.97/17.68 tff(29531,plain,
% 25.97/17.68 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB173) | (~v180(constB173))),
% 25.97/17.68 inference(modus_ponens,[status(thm)],[29530, 29529])).
% 25.97/17.68 tff(29532,plain,
% 25.97/17.68 (~v180(constB173)),
% 25.97/17.68 inference(unit_resolution,[status(thm)],[29531, 23899, 29528])).
% 25.97/17.68 tff(29533,plain,
% 25.97/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB173, constB174)) | v180(constB173) | (~v182(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB173, constB174)) | v180(constB173) | (~v182(constB174)))),
% 25.97/17.68 inference(rewrite,[status(thm)],[])).
% 25.97/17.68 tff(29534,plain,
% 25.97/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB173, constB174)) | v180(constB173) | (~v182(constB174)))),
% 25.97/17.68 inference(quant_inst,[status(thm)],[])).
% 25.97/17.68 tff(29535,plain,
% 25.97/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB173, constB174)) | v180(constB173) | (~v182(constB174))),
% 25.97/17.68 inference(modus_ponens,[status(thm)],[29534, 29533])).
% 25.97/17.68 tff(29536,plain,
% 25.97/17.68 (v180(constB173) | (~v182(constB174))),
% 25.97/17.68 inference(unit_resolution,[status(thm)],[29535, 23916, 26262])).
% 25.97/17.68 tff(29537,plain,
% 25.97/17.68 (~v182(constB174)),
% 25.97/17.68 inference(unit_resolution,[status(thm)],[29536, 29532])).
% 25.97/17.68 tff(29538,plain,
% 25.97/17.68 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB174) | (~v196(constB174)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB174) | (~v196(constB174)))),
% 25.97/17.68 inference(rewrite,[status(thm)],[])).
% 25.97/17.68 tff(29539,plain,
% 25.97/17.68 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB174) | (~v196(constB174)))),
% 25.97/17.68 inference(quant_inst,[status(thm)],[])).
% 25.97/17.68 tff(29540,plain,
% 25.97/17.68 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB174) | (~v196(constB174))),
% 25.97/17.68 inference(modus_ponens,[status(thm)],[29539, 29538])).
% 25.97/17.68 tff(29541,plain,
% 25.97/17.68 (~v196(constB174)),
% 25.97/17.68 inference(unit_resolution,[status(thm)],[29540, 23931, 29537])).
% 25.97/17.68 tff(29542,assumption,(v18(constB174)), introduced(assumption)).
% 25.97/17.68 tff(29543,plain,
% 25.97/17.68 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB174))),
% 25.97/17.68 inference(quant_inst,[status(thm)],[])).
% 25.97/17.68 tff(29544,plain,
% 25.97/17.68 ($false),
% 25.97/17.68 inference(unit_resolution,[status(thm)],[29543, 16985, 29542])).
% 25.97/17.68 tff(29545,plain,(~v18(constB174)), inference(lemma,lemma(discharge,[]))).
% 25.97/17.68 tff(29546,plain,
% 25.97/17.68 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB174) | (~v1(constB174)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB174) | (~v1(constB174)))),
% 25.97/17.68 inference(rewrite,[status(thm)],[])).
% 25.97/17.68 tff(29547,plain,
% 25.97/17.68 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB174) | (~v1(constB174)))),
% 25.97/17.68 inference(quant_inst,[status(thm)],[])).
% 25.97/17.68 tff(29548,plain,
% 25.97/17.68 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB174) | (~v1(constB174))),
% 25.97/17.68 inference(modus_ponens,[status(thm)],[29547, 29546])).
% 25.97/17.68 tff(29549,plain,
% 25.97/17.68 (v22(constB174)),
% 25.97/17.68 inference(unit_resolution,[status(thm)],[29548, 16998, 26282])).
% 25.97/17.68 tff(29550,plain,
% 25.97/17.68 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB174) | (~v22(constB174)) | (~v19(constB174)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB174) | (~v22(constB174)) | (~v19(constB174)))),
% 25.97/17.68 inference(rewrite,[status(thm)],[])).
% 25.97/17.68 tff(29551,plain,
% 25.97/17.68 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB174) | (~v22(constB174)) | (~v19(constB174)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29552,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB174) | (~v22(constB174)) | (~v19(constB174))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29551, 29550])).
% 25.97/17.69 tff(29553,plain,
% 25.97/17.69 (v18(constB174) | (~v19(constB174))),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29552, 17012, 29549])).
% 25.97/17.69 tff(29554,plain,
% 25.97/17.69 (~v19(constB174)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29553, 29545])).
% 25.97/17.69 tff(29555,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB174) | v19(constB174))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB174) | v19(constB174))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29556,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB174) | v19(constB174))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29557,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB174) | v19(constB174)),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29556, 29555])).
% 25.97/17.69 tff(29558,plain,
% 25.97/17.69 (v13(constB174)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29557, 17024, 29554])).
% 25.97/17.69 tff(29559,plain,
% 25.97/17.69 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB173) | (~v13(constB174)) | (~nextState(constB173, constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB173) | (~v13(constB174)) | (~nextState(constB173, constB174)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29560,plain,
% 25.97/17.69 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB173) | (~v13(constB174)) | (~nextState(constB173, constB174)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29561,plain,
% 25.97/17.69 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB173) | (~v13(constB174)) | (~nextState(constB173, constB174))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29560, 29559])).
% 25.97/17.69 tff(29562,plain,
% 25.97/17.69 (v9(constB173) | (~v13(constB174))),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29561, 17041, 26262])).
% 25.97/17.69 tff(29563,plain,
% 25.97/17.69 (v9(constB173)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29562, 29558])).
% 25.97/17.69 tff(29564,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB173) | (~v9(constB173)) | v185(constB173))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB173) | (~v9(constB173)) | v185(constB173))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29565,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB173) | (~v9(constB173)) | v185(constB173))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29566,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB173) | (~v9(constB173)) | v185(constB173)),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29565, 29564])).
% 25.97/17.69 tff(29567,plain,
% 25.97/17.69 ((~v9(constB173)) | v185(constB173)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29566, 23970, 26154])).
% 25.97/17.69 tff(29568,plain,
% 25.97/17.69 (v185(constB173)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29567, 29563])).
% 25.97/17.69 tff(29569,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (v195(constB173) | (~v185(constB173)))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB173) | (~v185(constB173)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29570,plain,
% 25.97/17.69 (((~v185(constB173)) | v195(constB173)) <=> (v195(constB173) | (~v185(constB173)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29571,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB173)) | v195(constB173))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (v195(constB173) | (~v185(constB173))))),
% 25.97/17.69 inference(monotonicity,[status(thm)],[29570])).
% 25.97/17.69 tff(29572,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB173)) | v195(constB173))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB173) | (~v185(constB173)))),
% 25.97/17.69 inference(transitivity,[status(thm)],[29571, 29569])).
% 25.97/17.69 tff(29573,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB173)) | v195(constB173))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29574,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB173) | (~v185(constB173))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29573, 29572])).
% 25.97/17.69 tff(29575,plain,
% 25.97/17.69 (v195(constB173)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29574, 23982, 29568])).
% 25.97/17.69 tff(29576,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB173)) | (~v195(constB173)))) <=> ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB173)) | (~v195(constB173)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29577,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB173)) | (~v195(constB173)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29578,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB173)) | (~v195(constB173))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29577, 29576])).
% 25.97/17.69 tff(29579,plain,
% 25.97/17.69 (~v193(constB173)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29578, 23996, 29575])).
% 25.97/17.69 tff(29580,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB172)) | (~v185(constB172)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB172)) | (~v185(constB172)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29581,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB172)) | (~v185(constB172)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29582,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB172)) | (~v185(constB172))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29581, 29580])).
% 25.97/17.69 tff(29583,plain,
% 25.97/17.69 (~v185(constB172)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29582, 24010, 26120])).
% 25.97/17.69 tff(29584,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB172) | (~v184(constB172)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB172) | (~v184(constB172)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29585,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB172) | (~v184(constB172)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29586,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB172) | (~v184(constB172))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29585, 29584])).
% 25.97/17.69 tff(29587,plain,
% 25.97/17.69 (~v184(constB172)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29586, 24024, 29583])).
% 25.97/17.69 tff(29588,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB172) | (~v180(constB172)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB172) | (~v180(constB172)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29589,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB172) | (~v180(constB172)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29590,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB172) | (~v180(constB172))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29589, 29588])).
% 25.97/17.69 tff(29591,plain,
% 25.97/17.69 (~v180(constB172)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29590, 23899, 29587])).
% 25.97/17.69 tff(29592,plain,
% 25.97/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB172, constB173)) | v180(constB172) | (~v182(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB172, constB173)) | v180(constB172) | (~v182(constB173)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29593,plain,
% 25.97/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB172, constB173)) | v180(constB172) | (~v182(constB173)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29594,plain,
% 25.97/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB172, constB173)) | v180(constB172) | (~v182(constB173))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29593, 29592])).
% 25.97/17.69 tff(29595,plain,
% 25.97/17.69 (v180(constB172) | (~v182(constB173))),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29594, 23916, 26157])).
% 25.97/17.69 tff(29596,plain,
% 25.97/17.69 (~v182(constB173)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29595, 29591])).
% 25.97/17.69 tff(29597,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB173) | (~v196(constB173)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB173) | (~v196(constB173)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29598,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB173) | (~v196(constB173)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29599,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB173) | (~v196(constB173))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29598, 29597])).
% 25.97/17.69 tff(29600,plain,
% 25.97/17.69 (~v196(constB173)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29599, 23931, 29596])).
% 25.97/17.69 tff(29601,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB173) | v196(constB173) | (~v190(constB173)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB173) | v196(constB173) | (~v190(constB173)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29602,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB173) | v196(constB173) | (~v190(constB173)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29603,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB173) | v196(constB173) | (~v190(constB173))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29602, 29601])).
% 25.97/17.69 tff(29604,plain,
% 25.97/17.69 (v193(constB173) | (~v190(constB173))),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29603, 24051, 29600])).
% 25.97/17.69 tff(29605,plain,
% 25.97/17.69 (~v190(constB173)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29604, 29579])).
% 25.97/17.69 tff(29606,plain,
% 25.97/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB173, constB174)) | v190(constB173) | (~v192(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB173, constB174)) | v190(constB173) | (~v192(constB174)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29607,plain,
% 25.97/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB173, constB174)) | v190(constB173) | (~v192(constB174)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29608,plain,
% 25.97/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB173, constB174)) | v190(constB173) | (~v192(constB174))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29607, 29606])).
% 25.97/17.69 tff(29609,plain,
% 25.97/17.69 (v190(constB173) | (~v192(constB174))),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29608, 24066, 26262])).
% 25.97/17.69 tff(29610,plain,
% 25.97/17.69 (~v192(constB174)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29609, 29605])).
% 25.97/17.69 tff(29611,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB174) | (~v193(constB174)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB174) | (~v193(constB174)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29612,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB174) | (~v193(constB174)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29613,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB174) | (~v193(constB174))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29612, 29611])).
% 25.97/17.69 tff(29614,plain,
% 25.97/17.69 (~v193(constB174)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29613, 24081, 29610])).
% 25.97/17.69 tff(29615,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB174) | v196(constB174) | (~v190(constB174)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB174) | v196(constB174) | (~v190(constB174)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29616,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB174) | v196(constB174) | (~v190(constB174)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29617,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB174) | v196(constB174) | (~v190(constB174))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29616, 29615])).
% 25.97/17.69 tff(29618,plain,
% 25.97/17.69 (v196(constB174) | (~v190(constB174))),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29617, 24051, 29614])).
% 25.97/17.69 tff(29619,plain,
% 25.97/17.69 (~v190(constB174)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29618, 29541])).
% 25.97/17.69 tff(29620,plain,
% 25.97/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB174, constB175)) | v190(constB174) | (~v192(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB174, constB175)) | v190(constB174) | (~v192(constB175)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29621,plain,
% 25.97/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB174, constB175)) | v190(constB174) | (~v192(constB175)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29622,plain,
% 25.97/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB174, constB175)) | v190(constB174) | (~v192(constB175))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29621, 29620])).
% 25.97/17.69 tff(29623,plain,
% 25.97/17.69 (v190(constB174) | (~v192(constB175))),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29622, 24066, 26324])).
% 25.97/17.69 tff(29624,plain,
% 25.97/17.69 (~v192(constB175)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29623, 29619])).
% 25.97/17.69 tff(29625,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB175) | (~v201(constB175)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB175) | (~v201(constB175)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29626,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB175) | (~v201(constB175)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29627,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB175) | (~v201(constB175))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29626, 29625])).
% 25.97/17.69 tff(29628,plain,
% 25.97/17.69 (~v201(constB175)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29627, 24108, 29624])).
% 25.97/17.69 tff(29629,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB174)) | (~v185(constB174)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB174)) | (~v185(constB174)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29630,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB174)) | (~v185(constB174)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29631,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB174)) | (~v185(constB174))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29630, 29629])).
% 25.97/17.69 tff(29632,plain,
% 25.97/17.69 (~v185(constB174)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29631, 24010, 26282])).
% 25.97/17.69 tff(29633,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB174) | (~v184(constB174)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB174) | (~v184(constB174)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29634,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB174) | (~v184(constB174)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29635,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB174) | (~v184(constB174))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29634, 29633])).
% 25.97/17.69 tff(29636,plain,
% 25.97/17.69 (~v184(constB174)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29635, 24024, 29632])).
% 25.97/17.69 tff(29637,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB174) | (~v180(constB174)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB174) | (~v180(constB174)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29638,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB174) | (~v180(constB174)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29639,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB174) | (~v180(constB174))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29638, 29637])).
% 25.97/17.69 tff(29640,plain,
% 25.97/17.69 (~v180(constB174)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29639, 23899, 29636])).
% 25.97/17.69 tff(29641,plain,
% 25.97/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB174, constB175)) | v180(constB174) | (~v182(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB174, constB175)) | v180(constB174) | (~v182(constB175)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29642,plain,
% 25.97/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB174, constB175)) | v180(constB174) | (~v182(constB175)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29643,plain,
% 25.97/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB174, constB175)) | v180(constB174) | (~v182(constB175))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29642, 29641])).
% 25.97/17.69 tff(29644,plain,
% 25.97/17.69 (v180(constB174) | (~v182(constB175))),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29643, 23916, 26324])).
% 25.97/17.69 tff(29645,plain,
% 25.97/17.69 (~v182(constB175)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29644, 29640])).
% 25.97/17.69 tff(29646,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB175) | (~v205(constB175)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB175) | (~v205(constB175)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29647,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB175) | (~v205(constB175)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29648,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB175) | (~v205(constB175))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29647, 29646])).
% 25.97/17.69 tff(29649,plain,
% 25.97/17.69 (~v205(constB175)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29648, 24139, 29645])).
% 25.97/17.69 tff(29650,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB175) | v205(constB175) | (~v200(constB175)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB175) | v205(constB175) | (~v200(constB175)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29651,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB175) | v205(constB175) | (~v200(constB175)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29652,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB175) | v205(constB175) | (~v200(constB175))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29651, 29650])).
% 25.97/17.69 tff(29653,plain,
% 25.97/17.69 (v201(constB175) | (~v200(constB175))),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29652, 24153, 29649])).
% 25.97/17.69 tff(29654,plain,
% 25.97/17.69 (~v200(constB175)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29653, 29628])).
% 25.97/17.69 tff(29655,plain,
% 25.97/17.69 ($false),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29654, 29465])).
% 25.97/17.69 tff(29656,plain,(~(constB175 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.97/17.69 tff(29657,assumption,(constB115 = sK0_VarCurr), introduced(assumption)).
% 25.97/17.69 tff(29658,plain,
% 25.97/17.69 (v200(constB115) <=> v200(sK0_VarCurr)),
% 25.97/17.69 inference(monotonicity,[status(thm)],[29657])).
% 25.97/17.69 tff(29659,plain,
% 25.97/17.69 (v200(sK0_VarCurr) <=> v200(constB115)),
% 25.97/17.69 inference(symmetry,[status(thm)],[29658])).
% 25.97/17.69 tff(29660,plain,
% 25.97/17.69 (v200(constB115)),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[788, 29659])).
% 25.97/17.69 tff(29661,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB111, bitIndex2)) | v90(constB111, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB111, bitIndex2)) | v90(constB111, bitIndex2))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29662,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB111, bitIndex2)) | v90(constB111, bitIndex2))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29663,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB111, bitIndex2)) | v90(constB111, bitIndex2)),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29662, 29661])).
% 25.97/17.69 tff(29664,plain,
% 25.97/17.69 (~v88(constB111, bitIndex2)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29663, 28577, 18150])).
% 25.97/17.69 tff(29665,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB111, bitIndex1)) | v88(constB111, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB111, bitIndex1)) | v88(constB111, bitIndex1))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29666,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB111, bitIndex1)) | v88(constB111, bitIndex1))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29667,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB111, bitIndex1)) | v88(constB111, bitIndex1)),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29666, 29665])).
% 25.97/17.69 tff(29668,plain,
% 25.97/17.69 (v88(constB111, bitIndex1)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29667, 28592, 18181])).
% 25.97/17.69 tff(29669,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB111, bitIndex0)) | v88(constB111, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB111, bitIndex0)) | v88(constB111, bitIndex0))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29670,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB111, bitIndex0)) | v88(constB111, bitIndex0))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29671,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB111, bitIndex0)) | v88(constB111, bitIndex0)),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29670, 29669])).
% 25.97/17.69 tff(29672,plain,
% 25.97/17.69 (v88(constB111, bitIndex0)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29671, 28834, 18212])).
% 25.97/17.69 tff(29673,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)) | (~v88(constB111, bitIndex1)) | v141(constB111))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)) | (~v88(constB111, bitIndex1)) | v141(constB111))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29674,plain,
% 25.97/17.69 ((v88(constB111, bitIndex2) | (~v88(constB111, bitIndex1)) | (~v88(constB111, bitIndex0)) | v141(constB111)) <=> (v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)) | (~v88(constB111, bitIndex1)) | v141(constB111))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29675,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB111, bitIndex2) | (~v88(constB111, bitIndex1)) | (~v88(constB111, bitIndex0)) | v141(constB111))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)) | (~v88(constB111, bitIndex1)) | v141(constB111)))),
% 25.97/17.69 inference(monotonicity,[status(thm)],[29674])).
% 25.97/17.69 tff(29676,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB111, bitIndex2) | (~v88(constB111, bitIndex1)) | (~v88(constB111, bitIndex0)) | v141(constB111))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)) | (~v88(constB111, bitIndex1)) | v141(constB111))),
% 25.97/17.69 inference(transitivity,[status(thm)],[29675, 29673])).
% 25.97/17.69 tff(29677,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB111, bitIndex2) | (~v88(constB111, bitIndex1)) | (~v88(constB111, bitIndex0)) | v141(constB111))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29678,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)) | (~v88(constB111, bitIndex1)) | v141(constB111)),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29677, 29676])).
% 25.97/17.69 tff(29679,plain,
% 25.97/17.69 (v141(constB111)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29678, 28848, 29672, 29668, 29664])).
% 25.97/17.69 tff(29680,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB111)) | v168(constB111))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB111)) | v168(constB111))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29681,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB111)) | v168(constB111))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29682,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB111)) | v168(constB111)),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29681, 29680])).
% 25.97/17.69 tff(29683,plain,
% 25.97/17.69 (v168(constB111)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29682, 28862, 29679])).
% 25.97/17.69 tff(29684,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB111)) | v167(constB111))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB111)) | v167(constB111))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29685,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB111)) | v167(constB111))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29686,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB111)) | v167(constB111)),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29685, 29684])).
% 25.97/17.69 tff(29687,plain,
% 25.97/17.69 (v167(constB111)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29686, 28873, 29683])).
% 25.97/17.69 tff(29688,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB111) | (~v167(constB111)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB111) | (~v167(constB111)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29689,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB111) | (~v167(constB111)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29690,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB111) | (~v167(constB111))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29689, 29688])).
% 25.97/17.69 tff(29691,plain,
% 25.97/17.69 (v166(constB111)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29690, 28645, 29687])).
% 25.97/17.69 tff(29692,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB111)) | (~v88(constB111, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB111)) | (~v88(constB111, bitIndex1)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29693,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB111)) | (~v88(constB111, bitIndex1)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29694,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB111)) | (~v88(constB111, bitIndex1))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29693, 29692])).
% 25.97/17.69 tff(29695,plain,
% 25.97/17.69 (~v140(constB111)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29694, 28667, 29668])).
% 25.97/17.69 tff(29696,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))) | ((~v139(constB111)) | (~v88(constB111, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))) | (~v139(constB111)) | (~v88(constB111, bitIndex0)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29697,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))) | ((~v139(constB111)) | (~v88(constB111, bitIndex0)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29698,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))) | (~v139(constB111)) | (~v88(constB111, bitIndex0))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29697, 29696])).
% 25.97/17.69 tff(29699,plain,
% 25.97/17.69 (~v139(constB111)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29698, 28895, 29672])).
% 25.97/17.69 tff(29700,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB111) | v140(constB111) | (~v170(constB111)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB111) | v140(constB111) | (~v170(constB111)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29701,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB111) | v140(constB111) | (~v170(constB111)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29702,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB111) | v140(constB111) | (~v170(constB111))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29701, 29700])).
% 25.97/17.69 tff(29703,plain,
% 25.97/17.69 (~v170(constB111)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29702, 23719, 29699, 29695])).
% 25.97/17.69 tff(29704,plain,
% 25.97/17.69 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB111)) | v170(constB111) | (~v166(constB111)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB111)) | v170(constB111) | (~v166(constB111)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29705,plain,
% 25.97/17.69 (((~v166(constB111)) | v170(constB111) | (~v163(constB111))) <=> ((~v163(constB111)) | v170(constB111) | (~v166(constB111)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29706,plain,
% 25.97/17.69 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB111)) | v170(constB111) | (~v163(constB111)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB111)) | v170(constB111) | (~v166(constB111))))),
% 25.97/17.69 inference(monotonicity,[status(thm)],[29705])).
% 25.97/17.69 tff(29707,plain,
% 25.97/17.69 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB111)) | v170(constB111) | (~v163(constB111)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB111)) | v170(constB111) | (~v166(constB111)))),
% 25.97/17.69 inference(transitivity,[status(thm)],[29706, 29704])).
% 25.97/17.69 tff(29708,plain,
% 25.97/17.69 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB111)) | v170(constB111) | (~v163(constB111)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29709,plain,
% 25.97/17.69 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB111)) | v170(constB111) | (~v166(constB111))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29708, 29707])).
% 25.97/17.69 tff(29710,plain,
% 25.97/17.69 ((~v163(constB111)) | (~v166(constB111))),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29709, 23868, 29703])).
% 25.97/17.69 tff(29711,plain,
% 25.97/17.69 (~v163(constB111)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29710, 29691])).
% 25.97/17.69 tff(29712,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB111) | (~v184(constB111)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB111) | (~v184(constB111)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29713,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB111) | (~v184(constB111)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29714,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB111) | (~v184(constB111))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29713, 29712])).
% 25.97/17.69 tff(29715,plain,
% 25.97/17.69 (~v184(constB111)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29714, 23885, 29711])).
% 25.97/17.69 tff(29716,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB111) | (~v180(constB111)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB111) | (~v180(constB111)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29717,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB111) | (~v180(constB111)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29718,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB111) | (~v180(constB111))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29717, 29716])).
% 25.97/17.69 tff(29719,plain,
% 25.97/17.69 (~v180(constB111)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29718, 23899, 29715])).
% 25.97/17.69 tff(29720,plain,
% 25.97/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB111, constB112)) | v180(constB111) | (~v182(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB111, constB112)) | v180(constB111) | (~v182(constB112)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29721,plain,
% 25.97/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB111, constB112)) | v180(constB111) | (~v182(constB112)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29722,plain,
% 25.97/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB111, constB112)) | v180(constB111) | (~v182(constB112))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29721, 29720])).
% 25.97/17.69 tff(29723,plain,
% 25.97/17.69 (v180(constB111) | (~v182(constB112))),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29722, 23916, 18232])).
% 25.97/17.69 tff(29724,plain,
% 25.97/17.69 (~v182(constB112)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29723, 29719])).
% 25.97/17.69 tff(29725,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB112) | (~v196(constB112)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB112) | (~v196(constB112)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29726,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB112) | (~v196(constB112)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29727,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB112) | (~v196(constB112))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29726, 29725])).
% 25.97/17.69 tff(29728,plain,
% 25.97/17.69 (~v196(constB112)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29727, 23931, 29724])).
% 25.97/17.69 tff(29729,assumption,(v18(constB112)), introduced(assumption)).
% 25.97/17.69 tff(29730,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB112))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29731,plain,
% 25.97/17.69 ($false),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29730, 16985, 29729])).
% 25.97/17.69 tff(29732,plain,(~v18(constB112)), inference(lemma,lemma(discharge,[]))).
% 25.97/17.69 tff(29733,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB112) | (~v1(constB112)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB112) | (~v1(constB112)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29734,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB112) | (~v1(constB112)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29735,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB112) | (~v1(constB112))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29734, 29733])).
% 25.97/17.69 tff(29736,plain,
% 25.97/17.69 (v22(constB112)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29735, 16998, 757])).
% 25.97/17.69 tff(29737,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB112) | (~v22(constB112)) | (~v19(constB112)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB112) | (~v22(constB112)) | (~v19(constB112)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29738,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB112) | (~v22(constB112)) | (~v19(constB112)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29739,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB112) | (~v22(constB112)) | (~v19(constB112))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29738, 29737])).
% 25.97/17.69 tff(29740,plain,
% 25.97/17.69 (v18(constB112) | (~v19(constB112))),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29739, 17012, 29736])).
% 25.97/17.69 tff(29741,plain,
% 25.97/17.69 (~v19(constB112)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29740, 29732])).
% 25.97/17.69 tff(29742,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB112) | v19(constB112))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB112) | v19(constB112))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29743,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB112) | v19(constB112))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29744,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB112) | v19(constB112)),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29743, 29742])).
% 25.97/17.69 tff(29745,plain,
% 25.97/17.69 (v13(constB112)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29744, 17024, 29741])).
% 25.97/17.69 tff(29746,plain,
% 25.97/17.69 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB111) | (~v13(constB112)) | (~nextState(constB111, constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB111) | (~v13(constB112)) | (~nextState(constB111, constB112)))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29747,plain,
% 25.97/17.69 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB111) | (~v13(constB112)) | (~nextState(constB111, constB112)))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29748,plain,
% 25.97/17.69 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB111) | (~v13(constB112)) | (~nextState(constB111, constB112))),
% 25.97/17.69 inference(modus_ponens,[status(thm)],[29747, 29746])).
% 25.97/17.69 tff(29749,plain,
% 25.97/17.69 (v9(constB111) | (~v13(constB112))),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29748, 17041, 18232])).
% 25.97/17.69 tff(29750,plain,
% 25.97/17.69 (v9(constB111)),
% 25.97/17.69 inference(unit_resolution,[status(thm)],[29749, 29745])).
% 25.97/17.69 tff(29751,plain,
% 25.97/17.69 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB111) | (~v9(constB111)) | v185(constB111))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB111) | (~v9(constB111)) | v185(constB111))),
% 25.97/17.69 inference(rewrite,[status(thm)],[])).
% 25.97/17.69 tff(29752,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB111) | (~v9(constB111)) | v185(constB111))),
% 25.97/17.69 inference(quant_inst,[status(thm)],[])).
% 25.97/17.69 tff(29753,plain,
% 25.97/17.69 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB111) | (~v9(constB111)) | v185(constB111)),
% 25.97/17.70 inference(modus_ponens,[status(thm)],[29752, 29751])).
% 25.97/17.70 tff(29754,plain,
% 25.97/17.70 ((~v9(constB111)) | v185(constB111)),
% 25.97/17.70 inference(unit_resolution,[status(thm)],[29753, 23970, 18126])).
% 25.97/17.70 tff(29755,plain,
% 25.97/17.70 (v185(constB111)),
% 25.97/17.70 inference(unit_resolution,[status(thm)],[29754, 29750])).
% 25.97/17.70 tff(29756,plain,
% 25.97/17.70 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (v195(constB111) | (~v185(constB111)))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB111) | (~v185(constB111)))),
% 25.97/17.70 inference(rewrite,[status(thm)],[])).
% 25.97/17.70 tff(29757,plain,
% 25.97/17.70 (((~v185(constB111)) | v195(constB111)) <=> (v195(constB111) | (~v185(constB111)))),
% 25.97/17.70 inference(rewrite,[status(thm)],[])).
% 25.97/17.70 tff(29758,plain,
% 25.97/17.70 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB111)) | v195(constB111))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (v195(constB111) | (~v185(constB111))))),
% 25.97/17.70 inference(monotonicity,[status(thm)],[29757])).
% 25.97/17.70 tff(29759,plain,
% 25.97/17.70 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB111)) | v195(constB111))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB111) | (~v185(constB111)))),
% 25.97/17.70 inference(transitivity,[status(thm)],[29758, 29756])).
% 25.97/17.70 tff(29760,plain,
% 25.97/17.70 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB111)) | v195(constB111))),
% 25.97/17.70 inference(quant_inst,[status(thm)],[])).
% 25.97/17.70 tff(29761,plain,
% 25.97/17.70 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB111) | (~v185(constB111))),
% 25.97/17.70 inference(modus_ponens,[status(thm)],[29760, 29759])).
% 25.97/17.70 tff(29762,plain,
% 25.97/17.70 (v195(constB111)),
% 25.97/17.70 inference(unit_resolution,[status(thm)],[29761, 23982, 29755])).
% 25.97/17.70 tff(29763,plain,
% 25.97/17.70 (((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB111)) | (~v195(constB111)))) <=> ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB111)) | (~v195(constB111)))),
% 25.97/17.70 inference(rewrite,[status(thm)],[])).
% 25.97/17.70 tff(29764,plain,
% 25.97/17.70 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB111)) | (~v195(constB111)))),
% 25.97/17.70 inference(quant_inst,[status(thm)],[])).
% 25.97/17.70 tff(29765,plain,
% 25.97/17.70 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB111)) | (~v195(constB111))),
% 25.97/17.70 inference(modus_ponens,[status(thm)],[29764, 29763])).
% 25.97/17.70 tff(29766,plain,
% 25.97/17.70 (~v193(constB111)),
% 25.97/17.70 inference(unit_resolution,[status(thm)],[29765, 23996, 29762])).
% 25.97/17.70 tff(29767,plain,
% 25.97/17.70 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB110)) | (~v185(constB110)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB110)) | (~v185(constB110)))),
% 25.97/17.70 inference(rewrite,[status(thm)],[])).
% 25.97/17.70 tff(29768,plain,
% 25.97/17.70 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB110)) | (~v185(constB110)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29769,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB110)) | (~v185(constB110))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29768, 29767])).
% 25.99/17.70 tff(29770,plain,
% 25.99/17.70 (~v185(constB110)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29769, 24010, 18079])).
% 25.99/17.70 tff(29771,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB110) | (~v184(constB110)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB110) | (~v184(constB110)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29772,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB110) | (~v184(constB110)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29773,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB110) | (~v184(constB110))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29772, 29771])).
% 25.99/17.70 tff(29774,plain,
% 25.99/17.70 (~v184(constB110)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29773, 24024, 29770])).
% 25.99/17.70 tff(29775,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB110) | (~v180(constB110)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB110) | (~v180(constB110)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29776,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB110) | (~v180(constB110)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29777,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB110) | (~v180(constB110))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29776, 29775])).
% 25.99/17.70 tff(29778,plain,
% 25.99/17.70 (~v180(constB110)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29777, 23899, 29774])).
% 25.99/17.70 tff(29779,plain,
% 25.99/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB110, constB111)) | v180(constB110) | (~v182(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB110, constB111)) | v180(constB110) | (~v182(constB111)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29780,plain,
% 25.99/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB110, constB111)) | v180(constB110) | (~v182(constB111)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29781,plain,
% 25.99/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB110, constB111)) | v180(constB110) | (~v182(constB111))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29780, 29779])).
% 25.99/17.70 tff(29782,plain,
% 25.99/17.70 (v180(constB110) | (~v182(constB111))),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29781, 23916, 18129])).
% 25.99/17.70 tff(29783,plain,
% 25.99/17.70 (~v182(constB111)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29782, 29778])).
% 25.99/17.70 tff(29784,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB111) | (~v196(constB111)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB111) | (~v196(constB111)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29785,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB111) | (~v196(constB111)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29786,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB111) | (~v196(constB111))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29785, 29784])).
% 25.99/17.70 tff(29787,plain,
% 25.99/17.70 (~v196(constB111)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29786, 23931, 29783])).
% 25.99/17.70 tff(29788,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB111) | v196(constB111) | (~v190(constB111)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB111) | v196(constB111) | (~v190(constB111)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29789,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB111) | v196(constB111) | (~v190(constB111)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29790,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB111) | v196(constB111) | (~v190(constB111))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29789, 29788])).
% 25.99/17.70 tff(29791,plain,
% 25.99/17.70 (v193(constB111) | (~v190(constB111))),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29790, 24051, 29787])).
% 25.99/17.70 tff(29792,plain,
% 25.99/17.70 (~v190(constB111)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29791, 29766])).
% 25.99/17.70 tff(29793,plain,
% 25.99/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB111, constB112)) | v190(constB111) | (~v192(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB111, constB112)) | v190(constB111) | (~v192(constB112)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29794,plain,
% 25.99/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB111, constB112)) | v190(constB111) | (~v192(constB112)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29795,plain,
% 25.99/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB111, constB112)) | v190(constB111) | (~v192(constB112))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29794, 29793])).
% 25.99/17.70 tff(29796,plain,
% 25.99/17.70 (v190(constB111) | (~v192(constB112))),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29795, 24066, 18232])).
% 25.99/17.70 tff(29797,plain,
% 25.99/17.70 (~v192(constB112)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29796, 29792])).
% 25.99/17.70 tff(29798,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB112) | (~v193(constB112)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB112) | (~v193(constB112)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29799,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB112) | (~v193(constB112)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29800,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB112) | (~v193(constB112))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29799, 29798])).
% 25.99/17.70 tff(29801,plain,
% 25.99/17.70 (~v193(constB112)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29800, 24081, 29797])).
% 25.99/17.70 tff(29802,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB112) | v196(constB112) | (~v190(constB112)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB112) | v196(constB112) | (~v190(constB112)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29803,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB112) | v196(constB112) | (~v190(constB112)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29804,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB112) | v196(constB112) | (~v190(constB112))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29803, 29802])).
% 25.99/17.70 tff(29805,plain,
% 25.99/17.70 (v196(constB112) | (~v190(constB112))),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29804, 24051, 29801])).
% 25.99/17.70 tff(29806,plain,
% 25.99/17.70 (~v190(constB112)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29805, 29728])).
% 25.99/17.70 tff(29807,plain,
% 25.99/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB112, constB113)) | v190(constB112) | (~v192(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB112, constB113)) | v190(constB112) | (~v192(constB113)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29808,plain,
% 25.99/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB112, constB113)) | v190(constB112) | (~v192(constB113)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29809,plain,
% 25.99/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB112, constB113)) | v190(constB112) | (~v192(constB113))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29808, 29807])).
% 25.99/17.70 tff(29810,plain,
% 25.99/17.70 (v190(constB112) | (~v192(constB113))),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29809, 24066, 18530])).
% 25.99/17.70 tff(29811,plain,
% 25.99/17.70 (~v192(constB113)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29810, 29806])).
% 25.99/17.70 tff(29812,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB113) | (~v193(constB113)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB113) | (~v193(constB113)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29813,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB113) | (~v193(constB113)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29814,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB113) | (~v193(constB113))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29813, 29812])).
% 25.99/17.70 tff(29815,plain,
% 25.99/17.70 (~v193(constB113)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29814, 24081, 29811])).
% 25.99/17.70 tff(29816,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB112)) | (~v185(constB112)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB112)) | (~v185(constB112)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29817,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB112)) | (~v185(constB112)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29818,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB112)) | (~v185(constB112))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29817, 29816])).
% 25.99/17.70 tff(29819,plain,
% 25.99/17.70 (~v185(constB112)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29818, 24010, 757])).
% 25.99/17.70 tff(29820,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB112) | (~v184(constB112)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB112) | (~v184(constB112)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29821,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB112) | (~v184(constB112)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29822,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB112) | (~v184(constB112))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29821, 29820])).
% 25.99/17.70 tff(29823,plain,
% 25.99/17.70 (~v184(constB112)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29822, 24024, 29819])).
% 25.99/17.70 tff(29824,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB112) | (~v180(constB112)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB112) | (~v180(constB112)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29825,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB112) | (~v180(constB112)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29826,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB112) | (~v180(constB112))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29825, 29824])).
% 25.99/17.70 tff(29827,plain,
% 25.99/17.70 (~v180(constB112)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29826, 23899, 29823])).
% 25.99/17.70 tff(29828,plain,
% 25.99/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB112, constB113)) | v180(constB112) | (~v182(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB112, constB113)) | v180(constB112) | (~v182(constB113)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29829,plain,
% 25.99/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB112, constB113)) | v180(constB112) | (~v182(constB113)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29830,plain,
% 25.99/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB112, constB113)) | v180(constB112) | (~v182(constB113))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29829, 29828])).
% 25.99/17.70 tff(29831,plain,
% 25.99/17.70 (v180(constB112) | (~v182(constB113))),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29830, 23916, 18530])).
% 25.99/17.70 tff(29832,plain,
% 25.99/17.70 (~v182(constB113)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29831, 29827])).
% 25.99/17.70 tff(29833,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB113) | (~v196(constB113)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB113) | (~v196(constB113)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29834,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB113) | (~v196(constB113)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29835,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB113) | (~v196(constB113))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29834, 29833])).
% 25.99/17.70 tff(29836,plain,
% 25.99/17.70 (~v196(constB113)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29835, 23931, 29832])).
% 25.99/17.70 tff(29837,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB113) | v196(constB113) | (~v190(constB113)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB113) | v196(constB113) | (~v190(constB113)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29838,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB113) | v196(constB113) | (~v190(constB113)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29839,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB113) | v196(constB113) | (~v190(constB113))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29838, 29837])).
% 25.99/17.70 tff(29840,plain,
% 25.99/17.70 (v193(constB113) | (~v190(constB113))),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29839, 24051, 29836])).
% 25.99/17.70 tff(29841,plain,
% 25.99/17.70 (~v190(constB113)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29840, 29815])).
% 25.99/17.70 tff(29842,plain,
% 25.99/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB113, constB114)) | v190(constB113) | (~v192(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB113, constB114)) | v190(constB113) | (~v192(constB114)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29843,plain,
% 25.99/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB113, constB114)) | v190(constB113) | (~v192(constB114)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29844,plain,
% 25.99/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB113, constB114)) | v190(constB113) | (~v192(constB114))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29843, 29842])).
% 25.99/17.70 tff(29845,plain,
% 25.99/17.70 (v190(constB113) | (~v192(constB114))),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29844, 24066, 18660])).
% 25.99/17.70 tff(29846,plain,
% 25.99/17.70 (~v192(constB114)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29845, 29841])).
% 25.99/17.70 tff(29847,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB114) | (~v193(constB114)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB114) | (~v193(constB114)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29848,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB114) | (~v193(constB114)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29849,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB114) | (~v193(constB114))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29848, 29847])).
% 25.99/17.70 tff(29850,plain,
% 25.99/17.70 (~v193(constB114)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29849, 24081, 29846])).
% 25.99/17.70 tff(29851,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB113, bitIndex2)) | v88(constB113, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB113, bitIndex2)) | v88(constB113, bitIndex2))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29852,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB113, bitIndex2)) | v88(constB113, bitIndex2))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29853,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB113, bitIndex2)) | v88(constB113, bitIndex2)),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29852, 29851])).
% 25.99/17.70 tff(29854,plain,
% 25.99/17.70 (v88(constB113, bitIndex2)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29853, 23683, 18551])).
% 25.99/17.70 tff(29855,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v139(constB113)) | (~v88(constB113, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v139(constB113)) | (~v88(constB113, bitIndex2)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29856,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v139(constB113)) | (~v88(constB113, bitIndex2)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29857,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v139(constB113)) | (~v88(constB113, bitIndex2))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29856, 29855])).
% 25.99/17.70 tff(29858,plain,
% 25.99/17.70 (~v139(constB113)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29857, 23694, 29854])).
% 25.99/17.70 tff(29859,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v140(constB113)) | (~v88(constB113, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v140(constB113)) | (~v88(constB113, bitIndex2)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29860,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v140(constB113)) | (~v88(constB113, bitIndex2)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29861,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v140(constB113)) | (~v88(constB113, bitIndex2))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29860, 29859])).
% 25.99/17.70 tff(29862,plain,
% 25.99/17.70 (~v140(constB113)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29861, 23705, 29854])).
% 25.99/17.70 tff(29863,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB113) | v140(constB113) | (~v170(constB113)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB113) | v140(constB113) | (~v170(constB113)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29864,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB113) | v140(constB113) | (~v170(constB113)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29865,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB113) | v140(constB113) | (~v170(constB113))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29864, 29863])).
% 25.99/17.70 tff(29866,plain,
% 25.99/17.70 (~v170(constB113)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29865, 23719, 29862, 29858])).
% 25.99/17.70 tff(29867,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB113, bitIndex1)) | v90(constB113, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB113, bitIndex1)) | v90(constB113, bitIndex1))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29868,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB113, bitIndex1)) | v90(constB113, bitIndex1))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29869,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB113, bitIndex1)) | v90(constB113, bitIndex1)),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29868, 29867])).
% 25.99/17.70 tff(29870,plain,
% 25.99/17.70 (~v88(constB113, bitIndex1)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29869, 23764, 18585])).
% 25.99/17.70 tff(29871,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB113, bitIndex0)) | v90(constB113, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB113, bitIndex0)) | v90(constB113, bitIndex0))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29872,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB113, bitIndex0)) | v90(constB113, bitIndex0))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29873,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB113, bitIndex0)) | v90(constB113, bitIndex0)),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29872, 29871])).
% 25.99/17.70 tff(29874,plain,
% 25.99/17.70 (~v88(constB113, bitIndex0)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29873, 23809, 18619])).
% 25.99/17.70 tff(29875,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v146(constB113) | (~v88(constB113, bitIndex2)) | v88(constB113, bitIndex1) | v88(constB113, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v146(constB113) | (~v88(constB113, bitIndex2)) | v88(constB113, bitIndex1) | v88(constB113, bitIndex0))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29876,plain,
% 25.99/17.70 (((~v88(constB113, bitIndex2)) | v88(constB113, bitIndex1) | v88(constB113, bitIndex0) | v146(constB113)) <=> (v146(constB113) | (~v88(constB113, bitIndex2)) | v88(constB113, bitIndex1) | v88(constB113, bitIndex0))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29877,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB113, bitIndex2)) | v88(constB113, bitIndex1) | v88(constB113, bitIndex0) | v146(constB113))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v146(constB113) | (~v88(constB113, bitIndex2)) | v88(constB113, bitIndex1) | v88(constB113, bitIndex0)))),
% 25.99/17.70 inference(monotonicity,[status(thm)],[29876])).
% 25.99/17.70 tff(29878,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB113, bitIndex2)) | v88(constB113, bitIndex1) | v88(constB113, bitIndex0) | v146(constB113))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v146(constB113) | (~v88(constB113, bitIndex2)) | v88(constB113, bitIndex1) | v88(constB113, bitIndex0))),
% 25.99/17.70 inference(transitivity,[status(thm)],[29877, 29875])).
% 25.99/17.70 tff(29879,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB113, bitIndex2)) | v88(constB113, bitIndex1) | v88(constB113, bitIndex0) | v146(constB113))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29880,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v146(constB113) | (~v88(constB113, bitIndex2)) | v88(constB113, bitIndex1) | v88(constB113, bitIndex0)),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29879, 29878])).
% 25.99/17.70 tff(29881,plain,
% 25.99/17.70 (v146(constB113)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29880, 23823, 29854, 29874, 29870])).
% 25.99/17.70 tff(29882,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB113) | (~v146(constB113)))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB113) | (~v146(constB113)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29883,plain,
% 25.99/17.70 (((~v146(constB113)) | v145(constB113)) <=> (v145(constB113) | (~v146(constB113)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29884,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB113)) | v145(constB113))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB113) | (~v146(constB113))))),
% 25.99/17.70 inference(monotonicity,[status(thm)],[29883])).
% 25.99/17.70 tff(29885,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB113)) | v145(constB113))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB113) | (~v146(constB113)))),
% 25.99/17.70 inference(transitivity,[status(thm)],[29884, 29882])).
% 25.99/17.70 tff(29886,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB113)) | v145(constB113))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29887,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB113) | (~v146(constB113))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29886, 29885])).
% 25.99/17.70 tff(29888,plain,
% 25.99/17.70 (v145(constB113)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29887, 23837, 29881])).
% 25.99/17.70 tff(29889,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | (v166(constB113) | (~v145(constB113)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB113) | (~v145(constB113)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29890,plain,
% 25.99/17.70 (((~v145(constB113)) | v166(constB113)) <=> (v166(constB113) | (~v145(constB113)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29891,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB113)) | v166(constB113))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | (v166(constB113) | (~v145(constB113))))),
% 25.99/17.70 inference(monotonicity,[status(thm)],[29890])).
% 25.99/17.70 tff(29892,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB113)) | v166(constB113))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB113) | (~v145(constB113)))),
% 25.99/17.70 inference(transitivity,[status(thm)],[29891, 29889])).
% 25.99/17.70 tff(29893,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB113)) | v166(constB113))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29894,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB113) | (~v145(constB113))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29893, 29892])).
% 25.99/17.70 tff(29895,plain,
% 25.99/17.70 (v166(constB113)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29894, 23851, 29888])).
% 25.99/17.70 tff(29896,plain,
% 25.99/17.70 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB113)) | (~v166(constB113)) | v170(constB113))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB113)) | (~v166(constB113)) | v170(constB113))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29897,plain,
% 25.99/17.70 (((~v166(constB113)) | v170(constB113) | (~v163(constB113))) <=> ((~v163(constB113)) | (~v166(constB113)) | v170(constB113))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29898,plain,
% 25.99/17.70 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB113)) | v170(constB113) | (~v163(constB113)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB113)) | (~v166(constB113)) | v170(constB113)))),
% 25.99/17.70 inference(monotonicity,[status(thm)],[29897])).
% 25.99/17.70 tff(29899,plain,
% 25.99/17.70 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB113)) | v170(constB113) | (~v163(constB113)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB113)) | (~v166(constB113)) | v170(constB113))),
% 25.99/17.70 inference(transitivity,[status(thm)],[29898, 29896])).
% 25.99/17.70 tff(29900,plain,
% 25.99/17.70 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB113)) | v170(constB113) | (~v163(constB113)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29901,plain,
% 25.99/17.70 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB113)) | (~v166(constB113)) | v170(constB113)),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29900, 29899])).
% 25.99/17.70 tff(29902,plain,
% 25.99/17.70 (~v163(constB113)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29901, 23868, 29895, 29866])).
% 25.99/17.70 tff(29903,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB113) | (~v184(constB113)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB113) | (~v184(constB113)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29904,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB113) | (~v184(constB113)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29905,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB113) | (~v184(constB113))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29904, 29903])).
% 25.99/17.70 tff(29906,plain,
% 25.99/17.70 (~v184(constB113)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29905, 23885, 29902])).
% 25.99/17.70 tff(29907,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB113) | (~v180(constB113)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB113) | (~v180(constB113)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29908,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB113) | (~v180(constB113)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29909,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB113) | (~v180(constB113))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29908, 29907])).
% 25.99/17.70 tff(29910,plain,
% 25.99/17.70 (~v180(constB113)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29909, 23899, 29906])).
% 25.99/17.70 tff(29911,plain,
% 25.99/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB113, constB114)) | v180(constB113) | (~v182(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB113, constB114)) | v180(constB113) | (~v182(constB114)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29912,plain,
% 25.99/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB113, constB114)) | v180(constB113) | (~v182(constB114)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29913,plain,
% 25.99/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB113, constB114)) | v180(constB113) | (~v182(constB114))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29912, 29911])).
% 25.99/17.70 tff(29914,plain,
% 25.99/17.70 (v180(constB113) | (~v182(constB114))),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29913, 23916, 18660])).
% 25.99/17.70 tff(29915,plain,
% 25.99/17.70 (~v182(constB114)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29914, 29910])).
% 25.99/17.70 tff(29916,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB114) | (~v196(constB114)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB114) | (~v196(constB114)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29917,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB114) | (~v196(constB114)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29918,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB114) | (~v196(constB114))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29917, 29916])).
% 25.99/17.70 tff(29919,plain,
% 25.99/17.70 (~v196(constB114)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29918, 23931, 29915])).
% 25.99/17.70 tff(29920,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB114) | v196(constB114) | (~v190(constB114)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB114) | v196(constB114) | (~v190(constB114)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29921,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB114) | v196(constB114) | (~v190(constB114)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29922,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB114) | v196(constB114) | (~v190(constB114))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29921, 29920])).
% 25.99/17.70 tff(29923,plain,
% 25.99/17.70 (v193(constB114) | (~v190(constB114))),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29922, 24051, 29919])).
% 25.99/17.70 tff(29924,plain,
% 25.99/17.70 (~v190(constB114)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29923, 29850])).
% 25.99/17.70 tff(29925,plain,
% 25.99/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB114, constB115)) | v190(constB114) | (~v192(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB114, constB115)) | v190(constB114) | (~v192(constB115)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29926,plain,
% 25.99/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB114, constB115)) | v190(constB114) | (~v192(constB115)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29927,plain,
% 25.99/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB114, constB115)) | v190(constB114) | (~v192(constB115))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29926, 29925])).
% 25.99/17.70 tff(29928,plain,
% 25.99/17.70 (v190(constB114) | (~v192(constB115))),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29927, 24066, 18719])).
% 25.99/17.70 tff(29929,plain,
% 25.99/17.70 (~v192(constB115)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29928, 29924])).
% 25.99/17.70 tff(29930,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB115) | (~v201(constB115)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB115) | (~v201(constB115)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29931,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB115) | (~v201(constB115)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29932,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB115) | (~v201(constB115))),
% 25.99/17.70 inference(modus_ponens,[status(thm)],[29931, 29930])).
% 25.99/17.70 tff(29933,plain,
% 25.99/17.70 (~v201(constB115)),
% 25.99/17.70 inference(unit_resolution,[status(thm)],[29932, 24108, 29929])).
% 25.99/17.70 tff(29934,plain,
% 25.99/17.70 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB114)) | (~v185(constB114)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB114)) | (~v185(constB114)))),
% 25.99/17.70 inference(rewrite,[status(thm)],[])).
% 25.99/17.70 tff(29935,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB114)) | (~v185(constB114)))),
% 25.99/17.70 inference(quant_inst,[status(thm)],[])).
% 25.99/17.70 tff(29936,plain,
% 25.99/17.70 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB114)) | (~v185(constB114))),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[29935, 29934])).
% 25.99/17.71 tff(29937,plain,
% 25.99/17.71 (~v185(constB114)),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[29936, 24010, 603])).
% 25.99/17.71 tff(29938,plain,
% 25.99/17.71 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB114) | (~v184(constB114)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB114) | (~v184(constB114)))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(29939,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB114) | (~v184(constB114)))),
% 25.99/17.71 inference(quant_inst,[status(thm)],[])).
% 25.99/17.71 tff(29940,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB114) | (~v184(constB114))),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[29939, 29938])).
% 25.99/17.71 tff(29941,plain,
% 25.99/17.71 (~v184(constB114)),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[29940, 24024, 29937])).
% 25.99/17.71 tff(29942,plain,
% 25.99/17.71 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB114) | (~v180(constB114)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB114) | (~v180(constB114)))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(29943,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB114) | (~v180(constB114)))),
% 25.99/17.71 inference(quant_inst,[status(thm)],[])).
% 25.99/17.71 tff(29944,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB114) | (~v180(constB114))),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[29943, 29942])).
% 25.99/17.71 tff(29945,plain,
% 25.99/17.71 (~v180(constB114)),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[29944, 23899, 29941])).
% 25.99/17.71 tff(29946,plain,
% 25.99/17.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB114, constB115)) | v180(constB114) | (~v182(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB114, constB115)) | v180(constB114) | (~v182(constB115)))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(29947,plain,
% 25.99/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB114, constB115)) | v180(constB114) | (~v182(constB115)))),
% 25.99/17.71 inference(quant_inst,[status(thm)],[])).
% 25.99/17.71 tff(29948,plain,
% 25.99/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB114, constB115)) | v180(constB114) | (~v182(constB115))),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[29947, 29946])).
% 25.99/17.71 tff(29949,plain,
% 25.99/17.71 (v180(constB114) | (~v182(constB115))),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[29948, 23916, 18719])).
% 25.99/17.71 tff(29950,plain,
% 25.99/17.71 (~v182(constB115)),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[29949, 29945])).
% 25.99/17.71 tff(29951,plain,
% 25.99/17.71 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB115) | (~v205(constB115)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB115) | (~v205(constB115)))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(29952,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB115) | (~v205(constB115)))),
% 25.99/17.71 inference(quant_inst,[status(thm)],[])).
% 25.99/17.71 tff(29953,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB115) | (~v205(constB115))),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[29952, 29951])).
% 25.99/17.71 tff(29954,plain,
% 25.99/17.71 (~v205(constB115)),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[29953, 24139, 29950])).
% 25.99/17.71 tff(29955,plain,
% 25.99/17.71 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB115) | v205(constB115) | (~v200(constB115)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB115) | v205(constB115) | (~v200(constB115)))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(29956,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB115) | v205(constB115) | (~v200(constB115)))),
% 25.99/17.71 inference(quant_inst,[status(thm)],[])).
% 25.99/17.71 tff(29957,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB115) | v205(constB115) | (~v200(constB115))),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[29956, 29955])).
% 25.99/17.71 tff(29958,plain,
% 25.99/17.71 (v201(constB115) | (~v200(constB115))),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[29957, 24153, 29954])).
% 25.99/17.71 tff(29959,plain,
% 25.99/17.71 (~v200(constB115)),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[29958, 29933])).
% 25.99/17.71 tff(29960,plain,
% 25.99/17.71 ($false),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[29959, 29660])).
% 25.99/17.71 tff(29961,plain,(~(constB115 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.71 tff(29962,assumption,(constB139 = sK0_VarCurr), introduced(assumption)).
% 25.99/17.71 tff(29963,plain,
% 25.99/17.71 (v200(constB139) <=> v200(sK0_VarCurr)),
% 25.99/17.71 inference(monotonicity,[status(thm)],[29962])).
% 25.99/17.71 tff(29964,plain,
% 25.99/17.71 (v200(sK0_VarCurr) <=> v200(constB139)),
% 25.99/17.71 inference(symmetry,[status(thm)],[29963])).
% 25.99/17.71 tff(29965,plain,
% 25.99/17.71 (v200(constB139)),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[788, 29964])).
% 25.99/17.71 tff(29966,plain,
% 25.99/17.71 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB139, bitIndex2)) | v90(constB139, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB139, bitIndex2)) | v90(constB139, bitIndex2))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(29967,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB139, bitIndex2)) | v90(constB139, bitIndex2))),
% 25.99/17.71 inference(quant_inst,[status(thm)],[])).
% 25.99/17.71 tff(29968,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB139, bitIndex2)) | v90(constB139, bitIndex2)),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[29967, 29966])).
% 25.99/17.71 tff(29969,plain,
% 25.99/17.71 (~v88(constB139, bitIndex2)),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[29968, 28577, 21888])).
% 25.99/17.71 tff(29970,plain,
% 25.99/17.71 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB139, bitIndex0)) | v90(constB139, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB139, bitIndex0)) | v90(constB139, bitIndex0))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(29971,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB139, bitIndex0)) | v90(constB139, bitIndex0))),
% 25.99/17.71 inference(quant_inst,[status(thm)],[])).
% 25.99/17.71 tff(29972,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB139, bitIndex0)) | v90(constB139, bitIndex0)),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[29971, 29970])).
% 25.99/17.71 tff(29973,plain,
% 25.99/17.71 (~v88(constB139, bitIndex0)),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[29972, 23809, 21953])).
% 25.99/17.71 tff(29974,plain,
% 25.99/17.71 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(29975,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1))),
% 25.99/17.71 inference(quant_inst,[status(thm)],[])).
% 25.99/17.71 tff(29976,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1)),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[29975, 29974])).
% 25.99/17.71 tff(29977,plain,
% 25.99/17.71 (v88(constB139, bitIndex1)),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[29976, 28592, 21919])).
% 25.99/17.71 tff(29978,plain,
% 25.99/17.71 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB139, bitIndex0) | v143(constB139) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB139, bitIndex0) | v143(constB139) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(29979,plain,
% 25.99/17.71 ((v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex0) | v143(constB139)) <=> (v88(constB139, bitIndex0) | v143(constB139) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(29980,plain,
% 25.99/17.71 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex0) | v143(constB139))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB139, bitIndex0) | v143(constB139) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1))))),
% 25.99/17.71 inference(monotonicity,[status(thm)],[29979])).
% 25.99/17.71 tff(29981,plain,
% 25.99/17.71 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex0) | v143(constB139))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB139, bitIndex0) | v143(constB139) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)))),
% 25.99/17.71 inference(transitivity,[status(thm)],[29980, 29978])).
% 25.99/17.71 tff(29982,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex0) | v143(constB139))),
% 25.99/17.71 inference(quant_inst,[status(thm)],[])).
% 25.99/17.71 tff(29983,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB139, bitIndex0) | v143(constB139) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1))),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[29982, 29981])).
% 25.99/17.71 tff(29984,plain,
% 25.99/17.71 (v143(constB139)),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[29983, 28606, 29977, 29973, 29969])).
% 25.99/17.71 tff(29985,plain,
% 25.99/17.71 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB139)) | v142(constB139))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB139)) | v142(constB139))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(29986,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB139)) | v142(constB139))),
% 25.99/17.71 inference(quant_inst,[status(thm)],[])).
% 25.99/17.71 tff(29987,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB139)) | v142(constB139)),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[29986, 29985])).
% 25.99/17.71 tff(29988,plain,
% 25.99/17.71 (v142(constB139)),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[29987, 28620, 29984])).
% 25.99/17.71 tff(29989,plain,
% 25.99/17.71 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB139)) | v148(constB139))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB139)) | v148(constB139))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(29990,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB139)) | v148(constB139))),
% 25.99/17.71 inference(quant_inst,[status(thm)],[])).
% 25.99/17.71 tff(29991,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB139)) | v148(constB139)),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[29990, 29989])).
% 25.99/17.71 tff(29992,plain,
% 25.99/17.71 (v148(constB139)),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[29991, 29217, 29988])).
% 25.99/17.71 tff(29993,plain,
% 25.99/17.71 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB139)) | v167(constB139))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB139)) | v167(constB139))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(29994,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB139)) | v167(constB139))),
% 25.99/17.71 inference(quant_inst,[status(thm)],[])).
% 25.99/17.71 tff(29995,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB139)) | v167(constB139)),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[29994, 29993])).
% 25.99/17.71 tff(29996,plain,
% 25.99/17.71 (v167(constB139)),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[29995, 28631, 29988])).
% 25.99/17.71 tff(29997,plain,
% 25.99/17.71 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB139) | (~v167(constB139)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB139) | (~v167(constB139)))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(29998,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB139) | (~v167(constB139)))),
% 25.99/17.71 inference(quant_inst,[status(thm)],[])).
% 25.99/17.71 tff(29999,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB139) | (~v167(constB139))),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[29998, 29997])).
% 25.99/17.71 tff(30000,plain,
% 25.99/17.71 (v166(constB139)),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[29999, 28645, 29996])).
% 25.99/17.71 tff(30001,plain,
% 25.99/17.71 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB139) | (~v148(constB139)) | (~v166(constB139)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB139) | (~v148(constB139)) | (~v166(constB139)))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(30002,plain,
% 25.99/17.71 (((~v148(constB139)) | v86(constB139) | (~v166(constB139))) <=> (v86(constB139) | (~v148(constB139)) | (~v166(constB139)))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(30003,plain,
% 25.99/17.71 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB139)) | v86(constB139) | (~v166(constB139)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB139) | (~v148(constB139)) | (~v166(constB139))))),
% 25.99/17.71 inference(monotonicity,[status(thm)],[30002])).
% 25.99/17.71 tff(30004,plain,
% 25.99/17.71 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB139)) | v86(constB139) | (~v166(constB139)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB139) | (~v148(constB139)) | (~v166(constB139)))),
% 25.99/17.71 inference(transitivity,[status(thm)],[30003, 30001])).
% 25.99/17.71 tff(30005,plain,
% 25.99/17.71 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB139)) | v86(constB139) | (~v166(constB139)))),
% 25.99/17.71 inference(quant_inst,[status(thm)],[])).
% 25.99/17.71 tff(30006,plain,
% 25.99/17.71 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB139) | (~v148(constB139)) | (~v166(constB139))),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[30005, 30004])).
% 25.99/17.71 tff(30007,plain,
% 25.99/17.71 (v86(constB139)),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[30006, 29242, 30000, 29992])).
% 25.99/17.71 tff(30008,plain,
% 25.99/17.71 (((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | ((~v203(constB139)) | (~v86(constB139)))) <=> ((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | (~v203(constB139)) | (~v86(constB139)))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(30009,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | ((~v203(constB139)) | (~v86(constB139)))),
% 25.99/17.71 inference(quant_inst,[status(thm)],[])).
% 25.99/17.71 tff(30010,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | (~v203(constB139)) | (~v86(constB139))),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[30009, 30008])).
% 25.99/17.71 tff(30011,plain,
% 25.99/17.71 (~v203(constB139)),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[30010, 29256, 30007])).
% 25.99/17.71 tff(30012,plain,
% 25.99/17.71 (((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | (v203(constB139) | (~v202(constB139)))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | v203(constB139) | (~v202(constB139)))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(30013,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | (v203(constB139) | (~v202(constB139)))),
% 25.99/17.71 inference(quant_inst,[status(thm)],[])).
% 25.99/17.71 tff(30014,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | v203(constB139) | (~v202(constB139))),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[30013, 30012])).
% 25.99/17.71 tff(30015,plain,
% 25.99/17.71 (~v202(constB139)),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[30014, 29270, 30011])).
% 25.99/17.71 tff(30016,plain,
% 25.99/17.71 (((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | (v202(constB139) | (~v201(constB139)))) <=> ((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | v202(constB139) | (~v201(constB139)))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(30017,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | (v202(constB139) | (~v201(constB139)))),
% 25.99/17.71 inference(quant_inst,[status(thm)],[])).
% 25.99/17.71 tff(30018,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | v202(constB139) | (~v201(constB139))),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[30017, 30016])).
% 25.99/17.71 tff(30019,plain,
% 25.99/17.71 (~v201(constB139)),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[30018, 29284, 30015])).
% 25.99/17.71 tff(30020,plain,
% 25.99/17.71 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB138)) | (~v185(constB138)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB138)) | (~v185(constB138)))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(30021,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB138)) | (~v185(constB138)))),
% 25.99/17.71 inference(quant_inst,[status(thm)],[])).
% 25.99/17.71 tff(30022,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB138)) | (~v185(constB138))),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[30021, 30020])).
% 25.99/17.71 tff(30023,plain,
% 25.99/17.71 (~v185(constB138)),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[30022, 24010, 713])).
% 25.99/17.71 tff(30024,plain,
% 25.99/17.71 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB138) | (~v184(constB138)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB138) | (~v184(constB138)))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(30025,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB138) | (~v184(constB138)))),
% 25.99/17.71 inference(quant_inst,[status(thm)],[])).
% 25.99/17.71 tff(30026,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB138) | (~v184(constB138))),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[30025, 30024])).
% 25.99/17.71 tff(30027,plain,
% 25.99/17.71 (~v184(constB138)),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[30026, 24024, 30023])).
% 25.99/17.71 tff(30028,plain,
% 25.99/17.71 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB138) | (~v180(constB138)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB138) | (~v180(constB138)))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(30029,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB138) | (~v180(constB138)))),
% 25.99/17.71 inference(quant_inst,[status(thm)],[])).
% 25.99/17.71 tff(30030,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB138) | (~v180(constB138))),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[30029, 30028])).
% 25.99/17.71 tff(30031,plain,
% 25.99/17.71 (~v180(constB138)),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[30030, 23899, 30027])).
% 25.99/17.71 tff(30032,plain,
% 25.99/17.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB138, constB139)) | v180(constB138) | (~v182(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB138, constB139)) | v180(constB138) | (~v182(constB139)))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(30033,plain,
% 25.99/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB138, constB139)) | v180(constB138) | (~v182(constB139)))),
% 25.99/17.71 inference(quant_inst,[status(thm)],[])).
% 25.99/17.71 tff(30034,plain,
% 25.99/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB138, constB139)) | v180(constB138) | (~v182(constB139))),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[30033, 30032])).
% 25.99/17.71 tff(30035,plain,
% 25.99/17.71 (v180(constB138) | (~v182(constB139))),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[30034, 23916, 21867])).
% 25.99/17.71 tff(30036,plain,
% 25.99/17.71 (~v182(constB139)),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[30035, 30031])).
% 25.99/17.71 tff(30037,plain,
% 25.99/17.71 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB139) | (~v205(constB139)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB139) | (~v205(constB139)))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(30038,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB139) | (~v205(constB139)))),
% 25.99/17.71 inference(quant_inst,[status(thm)],[])).
% 25.99/17.71 tff(30039,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB139) | (~v205(constB139))),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[30038, 30037])).
% 25.99/17.71 tff(30040,plain,
% 25.99/17.71 (~v205(constB139)),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[30039, 24139, 30036])).
% 25.99/17.71 tff(30041,plain,
% 25.99/17.71 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB139) | v205(constB139) | (~v200(constB139)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB139) | v205(constB139) | (~v200(constB139)))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(30042,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB139) | v205(constB139) | (~v200(constB139)))),
% 25.99/17.71 inference(quant_inst,[status(thm)],[])).
% 25.99/17.71 tff(30043,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB139) | v205(constB139) | (~v200(constB139))),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[30042, 30041])).
% 25.99/17.71 tff(30044,plain,
% 25.99/17.71 (v201(constB139) | (~v200(constB139))),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[30043, 24153, 30040])).
% 25.99/17.71 tff(30045,plain,
% 25.99/17.71 (~v200(constB139)),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[30044, 30019])).
% 25.99/17.71 tff(30046,plain,
% 25.99/17.71 ($false),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[30045, 29965])).
% 25.99/17.71 tff(30047,plain,(~(constB139 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.71 tff(30048,assumption,(constB183 = sK0_VarCurr), introduced(assumption)).
% 25.99/17.71 tff(30049,plain,
% 25.99/17.71 (v200(constB183) <=> v200(sK0_VarCurr)),
% 25.99/17.71 inference(monotonicity,[status(thm)],[30048])).
% 25.99/17.71 tff(30050,plain,
% 25.99/17.71 (v200(sK0_VarCurr) <=> v200(constB183)),
% 25.99/17.71 inference(symmetry,[status(thm)],[30049])).
% 25.99/17.71 tff(30051,plain,
% 25.99/17.71 (v200(constB183)),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[788, 30050])).
% 25.99/17.71 tff(30052,plain,
% 25.99/17.71 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB181, bitIndex2)) | v90(constB181, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB181, bitIndex2)) | v90(constB181, bitIndex2))),
% 25.99/17.71 inference(rewrite,[status(thm)],[])).
% 25.99/17.71 tff(30053,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB181, bitIndex2)) | v90(constB181, bitIndex2))),
% 25.99/17.71 inference(quant_inst,[status(thm)],[])).
% 25.99/17.71 tff(30054,plain,
% 25.99/17.71 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB181, bitIndex2)) | v90(constB181, bitIndex2)),
% 25.99/17.71 inference(modus_ponens,[status(thm)],[30053, 30052])).
% 25.99/17.71 tff(30055,plain,
% 25.99/17.71 (~v88(constB181, bitIndex2)),
% 25.99/17.71 inference(unit_resolution,[status(thm)],[30054, 28577, 27112])).
% 25.99/17.71 tff(30056,plain,
% 25.99/17.71 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB181, bitIndex1)) | v88(constB181, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB181, bitIndex1)) | v88(constB181, bitIndex1))),
% 26.00/17.71 inference(rewrite,[status(thm)],[])).
% 26.00/17.71 tff(30057,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB181, bitIndex1)) | v88(constB181, bitIndex1))),
% 26.00/17.71 inference(quant_inst,[status(thm)],[])).
% 26.00/17.71 tff(30058,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB181, bitIndex1)) | v88(constB181, bitIndex1)),
% 26.00/17.71 inference(modus_ponens,[status(thm)],[30057, 30056])).
% 26.00/17.71 tff(30059,plain,
% 26.00/17.71 (v88(constB181, bitIndex1)),
% 26.00/17.71 inference(unit_resolution,[status(thm)],[30058, 28592, 27143])).
% 26.00/17.71 tff(30060,plain,
% 26.00/17.71 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB181, bitIndex0)) | v88(constB181, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB181, bitIndex0)) | v88(constB181, bitIndex0))),
% 26.00/17.71 inference(rewrite,[status(thm)],[])).
% 26.00/17.71 tff(30061,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB181, bitIndex0)) | v88(constB181, bitIndex0))),
% 26.00/17.71 inference(quant_inst,[status(thm)],[])).
% 26.00/17.71 tff(30062,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB181, bitIndex0)) | v88(constB181, bitIndex0)),
% 26.00/17.71 inference(modus_ponens,[status(thm)],[30061, 30060])).
% 26.00/17.71 tff(30063,plain,
% 26.00/17.71 (v88(constB181, bitIndex0)),
% 26.00/17.71 inference(unit_resolution,[status(thm)],[30062, 28834, 27174])).
% 26.00/17.71 tff(30064,plain,
% 26.00/17.71 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB181, bitIndex2) | (~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex0)) | v141(constB181))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex0)) | v141(constB181))),
% 26.00/17.71 inference(rewrite,[status(thm)],[])).
% 26.00/17.71 tff(30065,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB181, bitIndex2) | (~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex0)) | v141(constB181))),
% 26.00/17.71 inference(quant_inst,[status(thm)],[])).
% 26.00/17.71 tff(30066,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex0)) | v141(constB181)),
% 26.00/17.71 inference(modus_ponens,[status(thm)],[30065, 30064])).
% 26.00/17.71 tff(30067,plain,
% 26.00/17.71 (v141(constB181)),
% 26.00/17.71 inference(unit_resolution,[status(thm)],[30066, 28848, 30063, 30059, 30055])).
% 26.00/17.71 tff(30068,plain,
% 26.00/17.71 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB181)) | v168(constB181))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB181)) | v168(constB181))),
% 26.00/17.71 inference(rewrite,[status(thm)],[])).
% 26.00/17.71 tff(30069,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB181)) | v168(constB181))),
% 26.00/17.71 inference(quant_inst,[status(thm)],[])).
% 26.00/17.71 tff(30070,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB181)) | v168(constB181)),
% 26.00/17.71 inference(modus_ponens,[status(thm)],[30069, 30068])).
% 26.00/17.71 tff(30071,plain,
% 26.00/17.71 (v168(constB181)),
% 26.00/17.71 inference(unit_resolution,[status(thm)],[30070, 28862, 30067])).
% 26.00/17.71 tff(30072,plain,
% 26.00/17.71 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB181) | (~v168(constB181)))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB181) | (~v168(constB181)))),
% 26.00/17.71 inference(rewrite,[status(thm)],[])).
% 26.00/17.71 tff(30073,plain,
% 26.00/17.71 (((~v168(constB181)) | v167(constB181)) <=> (v167(constB181) | (~v168(constB181)))),
% 26.00/17.71 inference(rewrite,[status(thm)],[])).
% 26.00/17.71 tff(30074,plain,
% 26.00/17.71 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB181)) | v167(constB181))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB181) | (~v168(constB181))))),
% 26.00/17.71 inference(monotonicity,[status(thm)],[30073])).
% 26.00/17.71 tff(30075,plain,
% 26.00/17.71 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB181)) | v167(constB181))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB181) | (~v168(constB181)))),
% 26.00/17.71 inference(transitivity,[status(thm)],[30074, 30072])).
% 26.00/17.71 tff(30076,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB181)) | v167(constB181))),
% 26.00/17.71 inference(quant_inst,[status(thm)],[])).
% 26.00/17.71 tff(30077,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB181) | (~v168(constB181))),
% 26.00/17.71 inference(modus_ponens,[status(thm)],[30076, 30075])).
% 26.00/17.71 tff(30078,plain,
% 26.00/17.71 (v167(constB181)),
% 26.00/17.71 inference(unit_resolution,[status(thm)],[30077, 28873, 30071])).
% 26.00/17.71 tff(30079,plain,
% 26.00/17.71 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB181) | (~v167(constB181)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB181) | (~v167(constB181)))),
% 26.00/17.71 inference(rewrite,[status(thm)],[])).
% 26.00/17.71 tff(30080,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB181) | (~v167(constB181)))),
% 26.00/17.71 inference(quant_inst,[status(thm)],[])).
% 26.00/17.71 tff(30081,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB181) | (~v167(constB181))),
% 26.00/17.71 inference(modus_ponens,[status(thm)],[30080, 30079])).
% 26.00/17.71 tff(30082,plain,
% 26.00/17.71 (v166(constB181)),
% 26.00/17.71 inference(unit_resolution,[status(thm)],[30081, 28645, 30078])).
% 26.00/17.71 tff(30083,plain,
% 26.00/17.71 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB181)) | (~v88(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB181)) | (~v88(constB181, bitIndex1)))),
% 26.00/17.71 inference(rewrite,[status(thm)],[])).
% 26.00/17.71 tff(30084,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB181)) | (~v88(constB181, bitIndex1)))),
% 26.00/17.71 inference(quant_inst,[status(thm)],[])).
% 26.00/17.71 tff(30085,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB181)) | (~v88(constB181, bitIndex1))),
% 26.00/17.71 inference(modus_ponens,[status(thm)],[30084, 30083])).
% 26.00/17.71 tff(30086,plain,
% 26.00/17.71 (~v140(constB181)),
% 26.00/17.71 inference(unit_resolution,[status(thm)],[30085, 28667, 30059])).
% 26.00/17.71 tff(30087,plain,
% 26.00/17.71 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))) | ((~v139(constB181)) | (~v88(constB181, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))) | (~v139(constB181)) | (~v88(constB181, bitIndex0)))),
% 26.00/17.71 inference(rewrite,[status(thm)],[])).
% 26.00/17.71 tff(30088,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))) | ((~v139(constB181)) | (~v88(constB181, bitIndex0)))),
% 26.00/17.71 inference(quant_inst,[status(thm)],[])).
% 26.00/17.71 tff(30089,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))) | (~v139(constB181)) | (~v88(constB181, bitIndex0))),
% 26.00/17.71 inference(modus_ponens,[status(thm)],[30088, 30087])).
% 26.00/17.71 tff(30090,plain,
% 26.00/17.71 (~v139(constB181)),
% 26.00/17.71 inference(unit_resolution,[status(thm)],[30089, 28895, 30063])).
% 26.00/17.71 tff(30091,plain,
% 26.00/17.71 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB181) | v140(constB181) | (~v170(constB181)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB181) | v140(constB181) | (~v170(constB181)))),
% 26.00/17.71 inference(rewrite,[status(thm)],[])).
% 26.00/17.71 tff(30092,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB181) | v140(constB181) | (~v170(constB181)))),
% 26.00/17.71 inference(quant_inst,[status(thm)],[])).
% 26.00/17.71 tff(30093,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB181) | v140(constB181) | (~v170(constB181))),
% 26.00/17.71 inference(modus_ponens,[status(thm)],[30092, 30091])).
% 26.00/17.71 tff(30094,plain,
% 26.00/17.71 (~v170(constB181)),
% 26.00/17.71 inference(unit_resolution,[status(thm)],[30093, 23719, 30090, 30086])).
% 26.00/17.71 tff(30095,plain,
% 26.00/17.71 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB181)) | v170(constB181) | (~v166(constB181)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB181)) | v170(constB181) | (~v166(constB181)))),
% 26.00/17.71 inference(rewrite,[status(thm)],[])).
% 26.00/17.71 tff(30096,plain,
% 26.00/17.71 (((~v166(constB181)) | v170(constB181) | (~v163(constB181))) <=> ((~v163(constB181)) | v170(constB181) | (~v166(constB181)))),
% 26.00/17.71 inference(rewrite,[status(thm)],[])).
% 26.00/17.71 tff(30097,plain,
% 26.00/17.71 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB181)) | v170(constB181) | (~v163(constB181)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB181)) | v170(constB181) | (~v166(constB181))))),
% 26.00/17.71 inference(monotonicity,[status(thm)],[30096])).
% 26.00/17.71 tff(30098,plain,
% 26.00/17.71 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB181)) | v170(constB181) | (~v163(constB181)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB181)) | v170(constB181) | (~v166(constB181)))),
% 26.00/17.71 inference(transitivity,[status(thm)],[30097, 30095])).
% 26.00/17.71 tff(30099,plain,
% 26.00/17.71 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB181)) | v170(constB181) | (~v163(constB181)))),
% 26.00/17.71 inference(quant_inst,[status(thm)],[])).
% 26.00/17.71 tff(30100,plain,
% 26.00/17.71 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB181)) | v170(constB181) | (~v166(constB181))),
% 26.00/17.71 inference(modus_ponens,[status(thm)],[30099, 30098])).
% 26.00/17.71 tff(30101,plain,
% 26.00/17.71 ((~v163(constB181)) | (~v166(constB181))),
% 26.00/17.71 inference(unit_resolution,[status(thm)],[30100, 23868, 30094])).
% 26.00/17.71 tff(30102,plain,
% 26.00/17.71 (~v163(constB181)),
% 26.00/17.71 inference(unit_resolution,[status(thm)],[30101, 30082])).
% 26.00/17.71 tff(30103,plain,
% 26.00/17.71 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB181) | (~v184(constB181)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB181) | (~v184(constB181)))),
% 26.00/17.71 inference(rewrite,[status(thm)],[])).
% 26.00/17.71 tff(30104,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB181) | (~v184(constB181)))),
% 26.00/17.71 inference(quant_inst,[status(thm)],[])).
% 26.00/17.71 tff(30105,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB181) | (~v184(constB181))),
% 26.00/17.71 inference(modus_ponens,[status(thm)],[30104, 30103])).
% 26.00/17.71 tff(30106,plain,
% 26.00/17.71 (~v184(constB181)),
% 26.00/17.71 inference(unit_resolution,[status(thm)],[30105, 23885, 30102])).
% 26.00/17.71 tff(30107,plain,
% 26.00/17.71 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB181) | (~v180(constB181)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB181) | (~v180(constB181)))),
% 26.00/17.71 inference(rewrite,[status(thm)],[])).
% 26.00/17.71 tff(30108,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB181) | (~v180(constB181)))),
% 26.00/17.71 inference(quant_inst,[status(thm)],[])).
% 26.00/17.71 tff(30109,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB181) | (~v180(constB181))),
% 26.00/17.71 inference(modus_ponens,[status(thm)],[30108, 30107])).
% 26.00/17.71 tff(30110,plain,
% 26.00/17.71 (~v180(constB181)),
% 26.00/17.71 inference(unit_resolution,[status(thm)],[30109, 23899, 30106])).
% 26.00/17.71 tff(30111,plain,
% 26.00/17.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB181, constB182)) | v180(constB181) | (~v182(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB181, constB182)) | v180(constB181) | (~v182(constB182)))),
% 26.00/17.71 inference(rewrite,[status(thm)],[])).
% 26.00/17.71 tff(30112,plain,
% 26.00/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB181, constB182)) | v180(constB181) | (~v182(constB182)))),
% 26.00/17.71 inference(quant_inst,[status(thm)],[])).
% 26.00/17.71 tff(30113,plain,
% 26.00/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB181, constB182)) | v180(constB181) | (~v182(constB182))),
% 26.00/17.71 inference(modus_ponens,[status(thm)],[30112, 30111])).
% 26.00/17.71 tff(30114,plain,
% 26.00/17.71 (v180(constB181) | (~v182(constB182))),
% 26.00/17.71 inference(unit_resolution,[status(thm)],[30113, 23916, 27228])).
% 26.00/17.71 tff(30115,plain,
% 26.00/17.71 (~v182(constB182)),
% 26.00/17.71 inference(unit_resolution,[status(thm)],[30114, 30110])).
% 26.00/17.71 tff(30116,plain,
% 26.00/17.71 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB182) | (~v196(constB182)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB182) | (~v196(constB182)))),
% 26.00/17.71 inference(rewrite,[status(thm)],[])).
% 26.00/17.71 tff(30117,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB182) | (~v196(constB182)))),
% 26.00/17.71 inference(quant_inst,[status(thm)],[])).
% 26.00/17.71 tff(30118,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB182) | (~v196(constB182))),
% 26.00/17.71 inference(modus_ponens,[status(thm)],[30117, 30116])).
% 26.00/17.71 tff(30119,plain,
% 26.00/17.71 (~v196(constB182)),
% 26.00/17.71 inference(unit_resolution,[status(thm)],[30118, 23931, 30115])).
% 26.00/17.71 tff(30120,assumption,(v18(constB182)), introduced(assumption)).
% 26.00/17.71 tff(30121,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB182))),
% 26.00/17.71 inference(quant_inst,[status(thm)],[])).
% 26.00/17.71 tff(30122,plain,
% 26.00/17.71 ($false),
% 26.00/17.71 inference(unit_resolution,[status(thm)],[30121, 16985, 30120])).
% 26.00/17.71 tff(30123,plain,(~v18(constB182)), inference(lemma,lemma(discharge,[]))).
% 26.00/17.71 tff(30124,plain,
% 26.00/17.71 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB182) | (~v1(constB182)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB182) | (~v1(constB182)))),
% 26.00/17.71 inference(rewrite,[status(thm)],[])).
% 26.00/17.71 tff(30125,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB182) | (~v1(constB182)))),
% 26.00/17.71 inference(quant_inst,[status(thm)],[])).
% 26.00/17.71 tff(30126,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB182) | (~v1(constB182))),
% 26.00/17.71 inference(modus_ponens,[status(thm)],[30125, 30124])).
% 26.00/17.71 tff(30127,plain,
% 26.00/17.71 (v22(constB182)),
% 26.00/17.71 inference(unit_resolution,[status(thm)],[30126, 16998, 27248])).
% 26.00/17.71 tff(30128,plain,
% 26.00/17.71 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB182) | (~v22(constB182)) | (~v19(constB182)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB182) | (~v22(constB182)) | (~v19(constB182)))),
% 26.00/17.71 inference(rewrite,[status(thm)],[])).
% 26.00/17.71 tff(30129,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB182) | (~v22(constB182)) | (~v19(constB182)))),
% 26.00/17.71 inference(quant_inst,[status(thm)],[])).
% 26.00/17.71 tff(30130,plain,
% 26.00/17.71 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB182) | (~v22(constB182)) | (~v19(constB182))),
% 26.00/17.71 inference(modus_ponens,[status(thm)],[30129, 30128])).
% 26.00/17.71 tff(30131,plain,
% 26.00/17.71 (v18(constB182) | (~v19(constB182))),
% 26.00/17.71 inference(unit_resolution,[status(thm)],[30130, 17012, 30127])).
% 26.00/17.71 tff(30132,plain,
% 26.00/17.71 (~v19(constB182)),
% 26.00/17.71 inference(unit_resolution,[status(thm)],[30131, 30123])).
% 26.00/17.71 tff(30133,plain,
% 26.00/17.71 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB182) | v19(constB182))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB182) | v19(constB182))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30134,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB182) | v19(constB182))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30135,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB182) | v19(constB182)),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30134, 30133])).
% 26.00/17.72 tff(30136,plain,
% 26.00/17.72 (v13(constB182)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30135, 17024, 30132])).
% 26.00/17.72 tff(30137,plain,
% 26.00/17.72 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB181) | (~v13(constB182)) | (~nextState(constB181, constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB181) | (~v13(constB182)) | (~nextState(constB181, constB182)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30138,plain,
% 26.00/17.72 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB181) | (~v13(constB182)) | (~nextState(constB181, constB182)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30139,plain,
% 26.00/17.72 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB181) | (~v13(constB182)) | (~nextState(constB181, constB182))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30138, 30137])).
% 26.00/17.72 tff(30140,plain,
% 26.00/17.72 (v9(constB181) | (~v13(constB182))),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30139, 17041, 27228])).
% 26.00/17.72 tff(30141,plain,
% 26.00/17.72 (v9(constB181)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30140, 30136])).
% 26.00/17.72 tff(30142,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB181) | (~v9(constB181)) | v185(constB181))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB181) | (~v9(constB181)) | v185(constB181))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30143,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB181) | (~v9(constB181)) | v185(constB181))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30144,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB181) | (~v9(constB181)) | v185(constB181)),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30143, 30142])).
% 26.00/17.72 tff(30145,plain,
% 26.00/17.72 ((~v9(constB181)) | v185(constB181)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30144, 23970, 27088])).
% 26.00/17.72 tff(30146,plain,
% 26.00/17.72 (v185(constB181)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30145, 30141])).
% 26.00/17.72 tff(30147,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB181)) | v195(constB181))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (~v185(constB181)) | v195(constB181))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30148,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB181)) | v195(constB181))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30149,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (~v185(constB181)) | v195(constB181)),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30148, 30147])).
% 26.00/17.72 tff(30150,plain,
% 26.00/17.72 (v195(constB181)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30149, 23982, 30146])).
% 26.00/17.72 tff(30151,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB181)) | (~v195(constB181)))) <=> ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB181)) | (~v195(constB181)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30152,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB181)) | (~v195(constB181)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30153,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB181)) | (~v195(constB181))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30152, 30151])).
% 26.00/17.72 tff(30154,plain,
% 26.00/17.72 (~v193(constB181)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30153, 23996, 30150])).
% 26.00/17.72 tff(30155,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB180)) | (~v185(constB180)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB180)) | (~v185(constB180)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30156,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB180)) | (~v185(constB180)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30157,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB180)) | (~v185(constB180))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30156, 30155])).
% 26.00/17.72 tff(30158,plain,
% 26.00/17.72 (~v185(constB180)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30157, 24010, 27049])).
% 26.00/17.72 tff(30159,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB180) | (~v184(constB180)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB180) | (~v184(constB180)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30160,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB180) | (~v184(constB180)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30161,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB180) | (~v184(constB180))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30160, 30159])).
% 26.00/17.72 tff(30162,plain,
% 26.00/17.72 (~v184(constB180)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30161, 24024, 30158])).
% 26.00/17.72 tff(30163,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB180) | (~v180(constB180)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB180) | (~v180(constB180)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30164,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB180) | (~v180(constB180)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30165,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB180) | (~v180(constB180))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30164, 30163])).
% 26.00/17.72 tff(30166,plain,
% 26.00/17.72 (~v180(constB180)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30165, 23899, 30162])).
% 26.00/17.72 tff(30167,plain,
% 26.00/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB180, constB181)) | v180(constB180) | (~v182(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB180, constB181)) | v180(constB180) | (~v182(constB181)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30168,plain,
% 26.00/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB180, constB181)) | v180(constB180) | (~v182(constB181)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30169,plain,
% 26.00/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB180, constB181)) | v180(constB180) | (~v182(constB181))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30168, 30167])).
% 26.00/17.72 tff(30170,plain,
% 26.00/17.72 (v180(constB180) | (~v182(constB181))),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30169, 23916, 27091])).
% 26.00/17.72 tff(30171,plain,
% 26.00/17.72 (~v182(constB181)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30170, 30166])).
% 26.00/17.72 tff(30172,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB181) | (~v196(constB181)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB181) | (~v196(constB181)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30173,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB181) | (~v196(constB181)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30174,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB181) | (~v196(constB181))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30173, 30172])).
% 26.00/17.72 tff(30175,plain,
% 26.00/17.72 (~v196(constB181)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30174, 23931, 30171])).
% 26.00/17.72 tff(30176,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB181) | v196(constB181) | (~v190(constB181)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB181) | v196(constB181) | (~v190(constB181)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30177,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB181) | v196(constB181) | (~v190(constB181)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30178,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB181) | v196(constB181) | (~v190(constB181))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30177, 30176])).
% 26.00/17.72 tff(30179,plain,
% 26.00/17.72 (v193(constB181) | (~v190(constB181))),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30178, 24051, 30175])).
% 26.00/17.72 tff(30180,plain,
% 26.00/17.72 (~v190(constB181)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30179, 30154])).
% 26.00/17.72 tff(30181,plain,
% 26.00/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB181, constB182)) | v190(constB181) | (~v192(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB181, constB182)) | v190(constB181) | (~v192(constB182)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30182,plain,
% 26.00/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB181, constB182)) | v190(constB181) | (~v192(constB182)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30183,plain,
% 26.00/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB181, constB182)) | v190(constB181) | (~v192(constB182))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30182, 30181])).
% 26.00/17.72 tff(30184,plain,
% 26.00/17.72 (v190(constB181) | (~v192(constB182))),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30183, 24066, 27228])).
% 26.00/17.72 tff(30185,plain,
% 26.00/17.72 (~v192(constB182)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30184, 30180])).
% 26.00/17.72 tff(30186,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB182) | (~v193(constB182)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB182) | (~v193(constB182)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30187,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB182) | (~v193(constB182)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30188,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB182) | (~v193(constB182))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30187, 30186])).
% 26.00/17.72 tff(30189,plain,
% 26.00/17.72 (~v193(constB182)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30188, 24081, 30185])).
% 26.00/17.72 tff(30190,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB182) | v196(constB182) | (~v190(constB182)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB182) | v196(constB182) | (~v190(constB182)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30191,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB182) | v196(constB182) | (~v190(constB182)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30192,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB182) | v196(constB182) | (~v190(constB182))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30191, 30190])).
% 26.00/17.72 tff(30193,plain,
% 26.00/17.72 (v196(constB182) | (~v190(constB182))),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30192, 24051, 30189])).
% 26.00/17.72 tff(30194,plain,
% 26.00/17.72 (~v190(constB182)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30193, 30119])).
% 26.00/17.72 tff(30195,plain,
% 26.00/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB182, constB183)) | v190(constB182) | (~v192(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB182, constB183)) | v190(constB182) | (~v192(constB183)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30196,plain,
% 26.00/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB182, constB183)) | v190(constB182) | (~v192(constB183)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30197,plain,
% 26.00/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB182, constB183)) | v190(constB182) | (~v192(constB183))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30196, 30195])).
% 26.00/17.72 tff(30198,plain,
% 26.00/17.72 (v190(constB182) | (~v192(constB183))),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30197, 24066, 27290])).
% 26.00/17.72 tff(30199,plain,
% 26.00/17.72 (~v192(constB183)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30198, 30194])).
% 26.00/17.72 tff(30200,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB183) | (~v201(constB183)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB183) | (~v201(constB183)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30201,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB183) | (~v201(constB183)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30202,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB183) | (~v201(constB183))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30201, 30200])).
% 26.00/17.72 tff(30203,plain,
% 26.00/17.72 (~v201(constB183)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30202, 24108, 30199])).
% 26.00/17.72 tff(30204,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB182)) | (~v185(constB182)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB182)) | (~v185(constB182)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30205,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB182)) | (~v185(constB182)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30206,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB182)) | (~v185(constB182))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30205, 30204])).
% 26.00/17.72 tff(30207,plain,
% 26.00/17.72 (~v185(constB182)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30206, 24010, 27248])).
% 26.00/17.72 tff(30208,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB182) | (~v184(constB182)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB182) | (~v184(constB182)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30209,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB182) | (~v184(constB182)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30210,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB182) | (~v184(constB182))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30209, 30208])).
% 26.00/17.72 tff(30211,plain,
% 26.00/17.72 (~v184(constB182)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30210, 24024, 30207])).
% 26.00/17.72 tff(30212,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB182) | (~v180(constB182)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB182) | (~v180(constB182)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30213,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB182) | (~v180(constB182)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30214,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB182) | (~v180(constB182))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30213, 30212])).
% 26.00/17.72 tff(30215,plain,
% 26.00/17.72 (~v180(constB182)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30214, 23899, 30211])).
% 26.00/17.72 tff(30216,plain,
% 26.00/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB182, constB183)) | v180(constB182) | (~v182(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB182, constB183)) | v180(constB182) | (~v182(constB183)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30217,plain,
% 26.00/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB182, constB183)) | v180(constB182) | (~v182(constB183)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30218,plain,
% 26.00/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB182, constB183)) | v180(constB182) | (~v182(constB183))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30217, 30216])).
% 26.00/17.72 tff(30219,plain,
% 26.00/17.72 (v180(constB182) | (~v182(constB183))),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30218, 23916, 27290])).
% 26.00/17.72 tff(30220,plain,
% 26.00/17.72 (~v182(constB183)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30219, 30215])).
% 26.00/17.72 tff(30221,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB183) | (~v205(constB183)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB183) | (~v205(constB183)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30222,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB183) | (~v205(constB183)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30223,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB183) | (~v205(constB183))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30222, 30221])).
% 26.00/17.72 tff(30224,plain,
% 26.00/17.72 (~v205(constB183)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30223, 24139, 30220])).
% 26.00/17.72 tff(30225,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB183) | v205(constB183) | (~v200(constB183)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB183) | v205(constB183) | (~v200(constB183)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30226,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB183) | v205(constB183) | (~v200(constB183)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30227,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB183) | v205(constB183) | (~v200(constB183))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30226, 30225])).
% 26.00/17.72 tff(30228,plain,
% 26.00/17.72 (v201(constB183) | (~v200(constB183))),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30227, 24153, 30224])).
% 26.00/17.72 tff(30229,plain,
% 26.00/17.72 (~v200(constB183)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30228, 30203])).
% 26.00/17.72 tff(30230,plain,
% 26.00/17.72 ($false),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30229, 30051])).
% 26.00/17.72 tff(30231,plain,(~(constB183 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.00/17.72 tff(30232,assumption,(constB177 = sK0_VarCurr), introduced(assumption)).
% 26.00/17.72 tff(30233,plain,
% 26.00/17.72 (v200(constB177) <=> v200(sK0_VarCurr)),
% 26.00/17.72 inference(monotonicity,[status(thm)],[30232])).
% 26.00/17.72 tff(30234,plain,
% 26.00/17.72 (v200(sK0_VarCurr) <=> v200(constB177)),
% 26.00/17.72 inference(symmetry,[status(thm)],[30233])).
% 26.00/17.72 tff(30235,plain,
% 26.00/17.72 (v200(constB177)),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[788, 30234])).
% 26.00/17.72 tff(30236,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB175, bitIndex0)) | v90(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB175, bitIndex0)) | v90(constB175, bitIndex0))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30237,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB175, bitIndex0)) | v90(constB175, bitIndex0))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30238,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB175, bitIndex0)) | v90(constB175, bitIndex0)),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30237, 30236])).
% 26.00/17.72 tff(30239,plain,
% 26.00/17.72 (~v88(constB175, bitIndex0)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30238, 23809, 26410])).
% 26.00/17.72 tff(30240,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB175, bitIndex2)) | v88(constB175, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB175, bitIndex2)) | v88(constB175, bitIndex2))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30241,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB175, bitIndex2)) | v88(constB175, bitIndex2))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30242,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB175, bitIndex2)) | v88(constB175, bitIndex2)),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30241, 30240])).
% 26.00/17.72 tff(30243,plain,
% 26.00/17.72 (v88(constB175, bitIndex2)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30242, 23683, 26345])).
% 26.00/17.72 tff(30244,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB175, bitIndex1)) | v88(constB175, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB175, bitIndex1)) | v88(constB175, bitIndex1))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30245,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB175, bitIndex1)) | v88(constB175, bitIndex1))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30246,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB175, bitIndex1)) | v88(constB175, bitIndex1)),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30245, 30244])).
% 26.00/17.72 tff(30247,plain,
% 26.00/17.72 (v88(constB175, bitIndex1)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30246, 28592, 26376])).
% 26.00/17.72 tff(30248,plain,
% 26.00/17.72 (^[VarCurr: state_type] : refl(((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)))),
% 26.00/17.72 inference(bind,[status(th)],[])).
% 26.00/17.72 tff(30249,plain,
% 26.00/17.72 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 26.00/17.72 inference(quant_intro,[status(thm)],[30248])).
% 26.00/17.72 tff(30250,plain,
% 26.00/17.72 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30251,plain,
% 26.00/17.72 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1))) <=> ((~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0))), (((v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex2))) <=> (((~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2))))), rewrite((((~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2))) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0))), (((v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex2))) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)))), ((((v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex2))) | v144(VarCurr)) <=> (((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) | v144(VarCurr)))), rewrite((((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) | v144(VarCurr)) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))), ((((v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex2))) | v144(VarCurr)) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))))),
% 26.00/17.72 inference(bind,[status(th)],[])).
% 26.00/17.72 tff(30252,plain,
% 26.00/17.72 (![VarCurr: state_type] : (((v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex2))) | v144(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 26.00/17.72 inference(quant_intro,[status(thm)],[30251])).
% 26.00/17.72 tff(30253,axiom,(![VarCurr: state_type] : (((v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex2))) | v144(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_13_1_1_1')).
% 26.00/17.72 tff(30254,plain,
% 26.00/17.72 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30253, 30252])).
% 26.00/17.72 tff(30255,plain,
% 26.00/17.72 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30254, 30250])).
% 26.00/17.72 tff(30256,plain,(
% 26.00/17.72 ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 26.00/17.72 inference(skolemize,[status(sab)],[30255])).
% 26.00/17.72 tff(30257,plain,
% 26.00/17.72 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30256, 30249])).
% 26.00/17.72 tff(30258,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB175, bitIndex2)) | v144(constB175) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB175, bitIndex2)) | v144(constB175) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex0))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30259,plain,
% 26.00/17.72 (((~v88(constB175, bitIndex2)) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex0) | v144(constB175)) <=> ((~v88(constB175, bitIndex2)) | v144(constB175) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex0))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30260,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB175, bitIndex2)) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex0) | v144(constB175))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB175, bitIndex2)) | v144(constB175) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex0)))),
% 26.00/17.72 inference(monotonicity,[status(thm)],[30259])).
% 26.00/17.72 tff(30261,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB175, bitIndex2)) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex0) | v144(constB175))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB175, bitIndex2)) | v144(constB175) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex0))),
% 26.00/17.72 inference(transitivity,[status(thm)],[30260, 30258])).
% 26.00/17.72 tff(30262,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB175, bitIndex2)) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex0) | v144(constB175))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30263,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB175, bitIndex2)) | v144(constB175) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex0)),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30262, 30261])).
% 26.00/17.72 tff(30264,plain,
% 26.00/17.72 (v144(constB175)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30263, 30257, 30247, 30243, 30239])).
% 26.00/17.72 tff(30265,plain,
% 26.00/17.72 (^[VarCurr: state_type] : refl(((~v144(VarCurr)) | v142(VarCurr)) <=> ((~v144(VarCurr)) | v142(VarCurr)))),
% 26.00/17.72 inference(bind,[status(th)],[])).
% 26.00/17.72 tff(30266,plain,
% 26.00/17.72 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 26.00/17.72 inference(quant_intro,[status(thm)],[30265])).
% 26.00/17.72 tff(30267,plain,
% 26.00/17.72 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30268,axiom,(![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_1')).
% 26.00/17.72 tff(30269,plain,
% 26.00/17.72 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30268, 30267])).
% 26.00/17.72 tff(30270,plain,(
% 26.00/17.72 ![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 26.00/17.72 inference(skolemize,[status(sab)],[30269])).
% 26.00/17.72 tff(30271,plain,
% 26.00/17.72 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30270, 30266])).
% 26.00/17.72 tff(30272,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB175)) | v142(constB175))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB175)) | v142(constB175))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30273,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB175)) | v142(constB175))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30274,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB175)) | v142(constB175)),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30273, 30272])).
% 26.00/17.72 tff(30275,plain,
% 26.00/17.72 (v142(constB175)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30274, 30271, 30264])).
% 26.00/17.72 tff(30276,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB175)) | v167(constB175))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB175)) | v167(constB175))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30277,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB175)) | v167(constB175))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30278,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB175)) | v167(constB175)),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30277, 30276])).
% 26.00/17.72 tff(30279,plain,
% 26.00/17.72 (v167(constB175)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30278, 28631, 30275])).
% 26.00/17.72 tff(30280,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB175) | (~v167(constB175)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB175) | (~v167(constB175)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30281,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB175) | (~v167(constB175)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30282,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB175) | (~v167(constB175))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30281, 30280])).
% 26.00/17.72 tff(30283,plain,
% 26.00/17.72 (v166(constB175)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30282, 28645, 30279])).
% 26.00/17.72 tff(30284,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v139(constB175)) | (~v88(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v139(constB175)) | (~v88(constB175, bitIndex1)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30285,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v139(constB175)) | (~v88(constB175, bitIndex1)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30286,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v139(constB175)) | (~v88(constB175, bitIndex1))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30285, 30284])).
% 26.00/17.72 tff(30287,plain,
% 26.00/17.72 (~v139(constB175)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30286, 28656, 30247])).
% 26.00/17.72 tff(30288,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB175)) | (~v88(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB175)) | (~v88(constB175, bitIndex1)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30289,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB175)) | (~v88(constB175, bitIndex1)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30290,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB175)) | (~v88(constB175, bitIndex1))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30289, 30288])).
% 26.00/17.72 tff(30291,plain,
% 26.00/17.72 (~v140(constB175)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30290, 28667, 30247])).
% 26.00/17.72 tff(30292,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB175) | v140(constB175) | (~v170(constB175)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB175) | v140(constB175) | (~v170(constB175)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30293,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB175) | v140(constB175) | (~v170(constB175)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30294,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB175) | v140(constB175) | (~v170(constB175))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30293, 30292])).
% 26.00/17.72 tff(30295,plain,
% 26.00/17.72 (~v170(constB175)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30294, 23719, 30291, 30287])).
% 26.00/17.72 tff(30296,plain,
% 26.00/17.72 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB175)) | (~v166(constB175)) | v170(constB175))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB175)) | (~v166(constB175)) | v170(constB175))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30297,plain,
% 26.00/17.72 (((~v166(constB175)) | v170(constB175) | (~v163(constB175))) <=> ((~v163(constB175)) | (~v166(constB175)) | v170(constB175))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30298,plain,
% 26.00/17.72 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB175)) | v170(constB175) | (~v163(constB175)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB175)) | (~v166(constB175)) | v170(constB175)))),
% 26.00/17.72 inference(monotonicity,[status(thm)],[30297])).
% 26.00/17.72 tff(30299,plain,
% 26.00/17.72 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB175)) | v170(constB175) | (~v163(constB175)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB175)) | (~v166(constB175)) | v170(constB175))),
% 26.00/17.72 inference(transitivity,[status(thm)],[30298, 30296])).
% 26.00/17.72 tff(30300,plain,
% 26.00/17.72 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB175)) | v170(constB175) | (~v163(constB175)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30301,plain,
% 26.00/17.72 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB175)) | (~v166(constB175)) | v170(constB175)),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30300, 30299])).
% 26.00/17.72 tff(30302,plain,
% 26.00/17.72 ((~v163(constB175)) | (~v166(constB175))),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30301, 23868, 30295])).
% 26.00/17.72 tff(30303,plain,
% 26.00/17.72 (~v163(constB175)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30302, 30283])).
% 26.00/17.72 tff(30304,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB175) | (~v184(constB175)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB175) | (~v184(constB175)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30305,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB175) | (~v184(constB175)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30306,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB175) | (~v184(constB175))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30305, 30304])).
% 26.00/17.72 tff(30307,plain,
% 26.00/17.72 (~v184(constB175)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30306, 23885, 30303])).
% 26.00/17.72 tff(30308,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB175) | (~v180(constB175)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB175) | (~v180(constB175)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30309,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB175) | (~v180(constB175)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30310,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB175) | (~v180(constB175))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30309, 30308])).
% 26.00/17.72 tff(30311,plain,
% 26.00/17.72 (~v180(constB175)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30310, 23899, 30307])).
% 26.00/17.72 tff(30312,plain,
% 26.00/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB175, constB176)) | v180(constB175) | (~v182(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB175, constB176)) | v180(constB175) | (~v182(constB176)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30313,plain,
% 26.00/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB175, constB176)) | v180(constB175) | (~v182(constB176)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30314,plain,
% 26.00/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB175, constB176)) | v180(constB175) | (~v182(constB176))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30313, 30312])).
% 26.00/17.72 tff(30315,plain,
% 26.00/17.72 (v180(constB175) | (~v182(constB176))),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30314, 23916, 26437])).
% 26.00/17.72 tff(30316,plain,
% 26.00/17.72 (~v182(constB176)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30315, 30311])).
% 26.00/17.72 tff(30317,plain,
% 26.00/17.72 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB176) | (~v196(constB176)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB176) | (~v196(constB176)))),
% 26.00/17.72 inference(rewrite,[status(thm)],[])).
% 26.00/17.72 tff(30318,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB176) | (~v196(constB176)))),
% 26.00/17.72 inference(quant_inst,[status(thm)],[])).
% 26.00/17.72 tff(30319,plain,
% 26.00/17.72 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB176) | (~v196(constB176))),
% 26.00/17.72 inference(modus_ponens,[status(thm)],[30318, 30317])).
% 26.00/17.72 tff(30320,plain,
% 26.00/17.72 (~v196(constB176)),
% 26.00/17.72 inference(unit_resolution,[status(thm)],[30319, 23931, 30316])).
% 26.00/17.72 tff(30321,assumption,(v18(constB176)), introduced(assumption)).
% 26.00/17.73 tff(30322,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB176))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30323,plain,
% 26.00/17.73 ($false),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30322, 16985, 30321])).
% 26.00/17.73 tff(30324,plain,(~v18(constB176)), inference(lemma,lemma(discharge,[]))).
% 26.00/17.73 tff(30325,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB176) | (~v1(constB176)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB176) | (~v1(constB176)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30326,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB176) | (~v1(constB176)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30327,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB176) | (~v1(constB176))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30326, 30325])).
% 26.00/17.73 tff(30328,plain,
% 26.00/17.73 (v22(constB176)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30327, 16998, 141])).
% 26.00/17.73 tff(30329,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB176) | (~v22(constB176)) | (~v19(constB176)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB176) | (~v22(constB176)) | (~v19(constB176)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30330,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB176) | (~v22(constB176)) | (~v19(constB176)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30331,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB176) | (~v22(constB176)) | (~v19(constB176))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30330, 30329])).
% 26.00/17.73 tff(30332,plain,
% 26.00/17.73 (v18(constB176) | (~v19(constB176))),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30331, 17012, 30328])).
% 26.00/17.73 tff(30333,plain,
% 26.00/17.73 (~v19(constB176)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30332, 30324])).
% 26.00/17.73 tff(30334,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB176) | v19(constB176))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB176) | v19(constB176))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30335,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB176) | v19(constB176))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30336,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB176) | v19(constB176)),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30335, 30334])).
% 26.00/17.73 tff(30337,plain,
% 26.00/17.73 (v13(constB176)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30336, 17024, 30333])).
% 26.00/17.73 tff(30338,plain,
% 26.00/17.73 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB175) | (~v13(constB176)) | (~nextState(constB175, constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB175) | (~v13(constB176)) | (~nextState(constB175, constB176)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30339,plain,
% 26.00/17.73 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB175) | (~v13(constB176)) | (~nextState(constB175, constB176)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30340,plain,
% 26.00/17.73 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB175) | (~v13(constB176)) | (~nextState(constB175, constB176))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30339, 30338])).
% 26.00/17.73 tff(30341,plain,
% 26.00/17.73 (v9(constB175) | (~v13(constB176))),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30340, 17041, 26437])).
% 26.00/17.73 tff(30342,plain,
% 26.00/17.73 (v9(constB175)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30341, 30337])).
% 26.00/17.73 tff(30343,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB175) | (~v9(constB175)) | v185(constB175))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB175) | (~v9(constB175)) | v185(constB175))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30344,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB175) | (~v9(constB175)) | v185(constB175))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30345,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB175) | (~v9(constB175)) | v185(constB175)),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30344, 30343])).
% 26.00/17.73 tff(30346,plain,
% 26.00/17.73 ((~v9(constB175)) | v185(constB175)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30345, 23970, 26321])).
% 26.00/17.73 tff(30347,plain,
% 26.00/17.73 (v185(constB175)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30346, 30342])).
% 26.00/17.73 tff(30348,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB175)) | v195(constB175))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (~v185(constB175)) | v195(constB175))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30349,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB175)) | v195(constB175))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30350,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (~v185(constB175)) | v195(constB175)),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30349, 30348])).
% 26.00/17.73 tff(30351,plain,
% 26.00/17.73 (v195(constB175)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30350, 23982, 30347])).
% 26.00/17.73 tff(30352,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB175)) | (~v195(constB175)))) <=> ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB175)) | (~v195(constB175)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30353,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB175)) | (~v195(constB175)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30354,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB175)) | (~v195(constB175))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30353, 30352])).
% 26.00/17.73 tff(30355,plain,
% 26.00/17.73 (~v193(constB175)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30354, 23996, 30351])).
% 26.00/17.73 tff(30356,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB175) | (~v196(constB175)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB175) | (~v196(constB175)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30357,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB175) | (~v196(constB175)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30358,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB175) | (~v196(constB175))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30357, 30356])).
% 26.00/17.73 tff(30359,plain,
% 26.00/17.73 (~v196(constB175)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30358, 23931, 29645])).
% 26.00/17.73 tff(30360,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB175) | v196(constB175) | (~v190(constB175)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB175) | v196(constB175) | (~v190(constB175)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30361,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB175) | v196(constB175) | (~v190(constB175)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30362,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB175) | v196(constB175) | (~v190(constB175))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30361, 30360])).
% 26.00/17.73 tff(30363,plain,
% 26.00/17.73 (v193(constB175) | (~v190(constB175))),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30362, 24051, 30359])).
% 26.00/17.73 tff(30364,plain,
% 26.00/17.73 (~v190(constB175)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30363, 30355])).
% 26.00/17.73 tff(30365,plain,
% 26.00/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB175, constB176)) | v190(constB175) | (~v192(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB175, constB176)) | v190(constB175) | (~v192(constB176)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30366,plain,
% 26.00/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB175, constB176)) | v190(constB175) | (~v192(constB176)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30367,plain,
% 26.00/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB175, constB176)) | v190(constB175) | (~v192(constB176))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30366, 30365])).
% 26.00/17.73 tff(30368,plain,
% 26.00/17.73 (v190(constB175) | (~v192(constB176))),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30367, 24066, 26437])).
% 26.00/17.73 tff(30369,plain,
% 26.00/17.73 (~v192(constB176)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30368, 30364])).
% 26.00/17.73 tff(30370,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB176) | (~v193(constB176)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB176) | (~v193(constB176)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30371,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB176) | (~v193(constB176)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30372,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB176) | (~v193(constB176))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30371, 30370])).
% 26.00/17.73 tff(30373,plain,
% 26.00/17.73 (~v193(constB176)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30372, 24081, 30369])).
% 26.00/17.73 tff(30374,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB176) | v196(constB176) | (~v190(constB176)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB176) | v196(constB176) | (~v190(constB176)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30375,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB176) | v196(constB176) | (~v190(constB176)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30376,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB176) | v196(constB176) | (~v190(constB176))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30375, 30374])).
% 26.00/17.73 tff(30377,plain,
% 26.00/17.73 (v196(constB176) | (~v190(constB176))),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30376, 24051, 30373])).
% 26.00/17.73 tff(30378,plain,
% 26.00/17.73 (~v190(constB176)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30377, 30320])).
% 26.00/17.73 tff(30379,plain,
% 26.00/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB176, constB177)) | v190(constB176) | (~v192(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB176, constB177)) | v190(constB176) | (~v192(constB177)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30380,plain,
% 26.00/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB176, constB177)) | v190(constB176) | (~v192(constB177)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30381,plain,
% 26.00/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB176, constB177)) | v190(constB176) | (~v192(constB177))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30380, 30379])).
% 26.00/17.73 tff(30382,plain,
% 26.00/17.73 (v190(constB176) | (~v192(constB177))),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30381, 24066, 26662])).
% 26.00/17.73 tff(30383,plain,
% 26.00/17.73 (~v192(constB177)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30382, 30378])).
% 26.00/17.73 tff(30384,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB177) | (~v201(constB177)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB177) | (~v201(constB177)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30385,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB177) | (~v201(constB177)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30386,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB177) | (~v201(constB177))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30385, 30384])).
% 26.00/17.73 tff(30387,plain,
% 26.00/17.73 (~v201(constB177)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30386, 24108, 30383])).
% 26.00/17.73 tff(30388,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB176)) | (~v185(constB176)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB176)) | (~v185(constB176)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30389,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB176)) | (~v185(constB176)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30390,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB176)) | (~v185(constB176))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30389, 30388])).
% 26.00/17.73 tff(30391,plain,
% 26.00/17.73 (~v185(constB176)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30390, 24010, 141])).
% 26.00/17.73 tff(30392,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB176) | (~v184(constB176)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB176) | (~v184(constB176)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30393,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB176) | (~v184(constB176)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30394,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB176) | (~v184(constB176))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30393, 30392])).
% 26.00/17.73 tff(30395,plain,
% 26.00/17.73 (~v184(constB176)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30394, 24024, 30391])).
% 26.00/17.73 tff(30396,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB176) | (~v180(constB176)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB176) | (~v180(constB176)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30397,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB176) | (~v180(constB176)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30398,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB176) | (~v180(constB176))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30397, 30396])).
% 26.00/17.73 tff(30399,plain,
% 26.00/17.73 (~v180(constB176)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30398, 23899, 30395])).
% 26.00/17.73 tff(30400,plain,
% 26.00/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB176, constB177)) | v180(constB176) | (~v182(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB176, constB177)) | v180(constB176) | (~v182(constB177)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30401,plain,
% 26.00/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB176, constB177)) | v180(constB176) | (~v182(constB177)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30402,plain,
% 26.00/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB176, constB177)) | v180(constB176) | (~v182(constB177))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30401, 30400])).
% 26.00/17.73 tff(30403,plain,
% 26.00/17.73 (v180(constB176) | (~v182(constB177))),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30402, 23916, 26662])).
% 26.00/17.73 tff(30404,plain,
% 26.00/17.73 (~v182(constB177)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30403, 30399])).
% 26.00/17.73 tff(30405,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB177) | (~v205(constB177)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB177) | (~v205(constB177)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30406,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB177) | (~v205(constB177)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30407,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB177) | (~v205(constB177))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30406, 30405])).
% 26.00/17.73 tff(30408,plain,
% 26.00/17.73 (~v205(constB177)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30407, 24139, 30404])).
% 26.00/17.73 tff(30409,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB177) | v205(constB177) | (~v200(constB177)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB177) | v205(constB177) | (~v200(constB177)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30410,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB177) | v205(constB177) | (~v200(constB177)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30411,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB177) | v205(constB177) | (~v200(constB177))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30410, 30409])).
% 26.00/17.73 tff(30412,plain,
% 26.00/17.73 (v201(constB177) | (~v200(constB177))),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30411, 24153, 30408])).
% 26.00/17.73 tff(30413,plain,
% 26.00/17.73 (~v200(constB177)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30412, 30387])).
% 26.00/17.73 tff(30414,plain,
% 26.00/17.73 ($false),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30413, 30235])).
% 26.00/17.73 tff(30415,plain,(~(constB177 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.00/17.73 tff(30416,assumption,(constB49 = sK0_VarCurr), introduced(assumption)).
% 26.00/17.73 tff(30417,plain,
% 26.00/17.73 (v200(constB49) <=> v200(sK0_VarCurr)),
% 26.00/17.73 inference(monotonicity,[status(thm)],[30416])).
% 26.00/17.73 tff(30418,plain,
% 26.00/17.73 (v200(sK0_VarCurr) <=> v200(constB49)),
% 26.00/17.73 inference(symmetry,[status(thm)],[30417])).
% 26.00/17.73 tff(30419,plain,
% 26.00/17.73 (v200(constB49)),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[788, 30418])).
% 26.00/17.73 tff(30420,plain,
% 26.00/17.73 (v118(constB47)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[8174, 2210, 8167])).
% 26.00/17.73 tff(30421,plain,
% 26.00/17.73 (v117(constB47)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[8181, 980, 30420])).
% 26.00/17.73 tff(30422,plain,
% 26.00/17.73 (v116(constB47)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[8188, 994, 30421])).
% 26.00/17.73 tff(30423,plain,
% 26.00/17.73 (v115(constB47)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[8195, 1008, 30422])).
% 26.00/17.73 tff(30424,plain,
% 26.00/17.73 (v114(constB47)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[8202, 1022, 30423])).
% 26.00/17.73 tff(30425,plain,
% 26.00/17.73 (v113(constB47)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[8209, 1036, 30424])).
% 26.00/17.73 tff(30426,plain,
% 26.00/17.73 (v112(constB47)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[8221, 30425])).
% 26.00/17.73 tff(30427,plain,
% 26.00/17.73 (v108(constB47)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[8228, 1062, 30426])).
% 26.00/17.73 tff(30428,plain,
% 26.00/17.73 (v110(constB48)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[8239, 30427])).
% 26.00/17.73 tff(30429,plain,
% 26.00/17.73 (v100(constB48)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[8262, 30428])).
% 26.00/17.73 tff(30430,plain,
% 26.00/17.73 (~v130(constB47, bitIndex2)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[8291, 2231, 8167])).
% 26.00/17.73 tff(30431,plain,
% 26.00/17.73 (~v127(constB47, bitIndex2)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[8299, 30430])).
% 26.00/17.73 tff(30432,plain,
% 26.00/17.73 (~v129(constB48, bitIndex2)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[8304, 30431])).
% 26.00/17.73 tff(30433,plain,
% 26.00/17.73 ((~v90(constB48, bitIndex2)) | (~v100(constB48))),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[8308, 1845, 30432])).
% 26.00/17.73 tff(30434,plain,
% 26.00/17.73 (~v90(constB48, bitIndex2)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30433, 30429])).
% 26.00/17.73 tff(30435,plain,
% 26.00/17.73 (~v90(constB49, bitIndex2)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[8337, 30434])).
% 26.00/17.73 tff(30436,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB49, bitIndex2)) | v90(constB49, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB49, bitIndex2)) | v90(constB49, bitIndex2))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30437,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB49, bitIndex2)) | v90(constB49, bitIndex2))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30438,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB49, bitIndex2)) | v90(constB49, bitIndex2)),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30437, 30436])).
% 26.00/17.73 tff(30439,plain,
% 26.00/17.73 (~v88(constB49, bitIndex2)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30438, 28577, 30435])).
% 26.00/17.73 tff(30440,plain,
% 26.00/17.73 (~v130(constB47, bitIndex0)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[8266, 2023, 8167])).
% 26.00/17.73 tff(30441,plain,
% 26.00/17.73 (~v127(constB47, bitIndex0)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[8274, 30440])).
% 26.00/17.73 tff(30442,plain,
% 26.00/17.73 (~v129(constB48, bitIndex0)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[8279, 30441])).
% 26.00/17.73 tff(30443,plain,
% 26.00/17.73 ((~v90(constB48, bitIndex0)) | (~v100(constB48))),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[8286, 1374, 30442])).
% 26.00/17.73 tff(30444,plain,
% 26.00/17.73 (~v90(constB48, bitIndex0)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30443, 30429])).
% 26.00/17.73 tff(30445,plain,
% 26.00/17.73 (~v90(constB49, bitIndex0)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[8516, 30444])).
% 26.00/17.73 tff(30446,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB49, bitIndex0)) | v90(constB49, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB49, bitIndex0)) | v90(constB49, bitIndex0))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30447,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB49, bitIndex0)) | v90(constB49, bitIndex0))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30448,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB49, bitIndex0)) | v90(constB49, bitIndex0)),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30447, 30446])).
% 26.00/17.73 tff(30449,plain,
% 26.00/17.73 (~v88(constB49, bitIndex0)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30448, 23809, 30445])).
% 26.00/17.73 tff(30450,plain,
% 26.00/17.73 (v130(constB47, bitIndex1)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[8452, 2034, 8167])).
% 26.00/17.73 tff(30451,plain,
% 26.00/17.73 (v127(constB47, bitIndex1)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[8419, 30450])).
% 26.00/17.73 tff(30452,plain,
% 26.00/17.73 (v129(constB48, bitIndex1)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[8414, 30451])).
% 26.00/17.73 tff(30453,plain,
% 26.00/17.73 (v90(constB48, bitIndex1) | (~v100(constB48))),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[8408, 1583, 30452])).
% 26.00/17.73 tff(30454,plain,
% 26.00/17.73 (v90(constB48, bitIndex1)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30453, 30429])).
% 26.00/17.73 tff(30455,plain,
% 26.00/17.73 (v90(constB49, bitIndex1)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[8507, 30454])).
% 26.00/17.73 tff(30456,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB49, bitIndex1)) | v88(constB49, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB49, bitIndex1)) | v88(constB49, bitIndex1))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30457,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB49, bitIndex1)) | v88(constB49, bitIndex1))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30458,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB49, bitIndex1)) | v88(constB49, bitIndex1)),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30457, 30456])).
% 26.00/17.73 tff(30459,plain,
% 26.00/17.73 (v88(constB49, bitIndex1)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30458, 28592, 30455])).
% 26.00/17.73 tff(30460,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB49, bitIndex0) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v143(constB49))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB49, bitIndex0) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v143(constB49))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30461,plain,
% 26.00/17.73 ((v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0) | v143(constB49)) <=> (v88(constB49, bitIndex0) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v143(constB49))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30462,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0) | v143(constB49))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB49, bitIndex0) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v143(constB49)))),
% 26.00/17.73 inference(monotonicity,[status(thm)],[30461])).
% 26.00/17.73 tff(30463,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0) | v143(constB49))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB49, bitIndex0) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v143(constB49))),
% 26.00/17.73 inference(transitivity,[status(thm)],[30462, 30460])).
% 26.00/17.73 tff(30464,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0) | v143(constB49))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30465,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB49, bitIndex0) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v143(constB49)),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30464, 30463])).
% 26.00/17.73 tff(30466,plain,
% 26.00/17.73 (v143(constB49)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30465, 28606, 30459, 30449, 30439])).
% 26.00/17.73 tff(30467,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB49) | (~v143(constB49)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB49) | (~v143(constB49)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30468,plain,
% 26.00/17.73 (((~v143(constB49)) | v142(constB49)) <=> (v142(constB49) | (~v143(constB49)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30469,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB49)) | v142(constB49))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB49) | (~v143(constB49))))),
% 26.00/17.73 inference(monotonicity,[status(thm)],[30468])).
% 26.00/17.73 tff(30470,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB49)) | v142(constB49))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB49) | (~v143(constB49)))),
% 26.00/17.73 inference(transitivity,[status(thm)],[30469, 30467])).
% 26.00/17.73 tff(30471,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB49)) | v142(constB49))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30472,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB49) | (~v143(constB49))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30471, 30470])).
% 26.00/17.73 tff(30473,plain,
% 26.00/17.73 (v142(constB49)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30472, 28620, 30466])).
% 26.00/17.73 tff(30474,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB49)) | v148(constB49))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB49)) | v148(constB49))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30475,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB49)) | v148(constB49))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30476,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB49)) | v148(constB49)),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30475, 30474])).
% 26.00/17.73 tff(30477,plain,
% 26.00/17.73 (v148(constB49)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30476, 29217, 30473])).
% 26.00/17.73 tff(30478,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB49)) | v167(constB49))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB49)) | v167(constB49))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30479,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB49)) | v167(constB49))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30480,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB49)) | v167(constB49)),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30479, 30478])).
% 26.00/17.73 tff(30481,plain,
% 26.00/17.73 (v167(constB49)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30480, 28631, 30473])).
% 26.00/17.73 tff(30482,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB49) | (~v167(constB49)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB49) | (~v167(constB49)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30483,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB49) | (~v167(constB49)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30484,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB49) | (~v167(constB49))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30483, 30482])).
% 26.00/17.73 tff(30485,plain,
% 26.00/17.73 (v166(constB49)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30484, 28645, 30481])).
% 26.00/17.73 tff(30486,plain,
% 26.00/17.73 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB49) | (~v148(constB49)) | (~v166(constB49)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB49) | (~v148(constB49)) | (~v166(constB49)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30487,plain,
% 26.00/17.73 (((~v148(constB49)) | v86(constB49) | (~v166(constB49))) <=> (v86(constB49) | (~v148(constB49)) | (~v166(constB49)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30488,plain,
% 26.00/17.73 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB49)) | v86(constB49) | (~v166(constB49)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB49) | (~v148(constB49)) | (~v166(constB49))))),
% 26.00/17.73 inference(monotonicity,[status(thm)],[30487])).
% 26.00/17.73 tff(30489,plain,
% 26.00/17.73 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB49)) | v86(constB49) | (~v166(constB49)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB49) | (~v148(constB49)) | (~v166(constB49)))),
% 26.00/17.73 inference(transitivity,[status(thm)],[30488, 30486])).
% 26.00/17.73 tff(30490,plain,
% 26.00/17.73 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB49)) | v86(constB49) | (~v166(constB49)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30491,plain,
% 26.00/17.73 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB49) | (~v148(constB49)) | (~v166(constB49))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30490, 30489])).
% 26.00/17.73 tff(30492,plain,
% 26.00/17.73 (v86(constB49)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30491, 29242, 30485, 30477])).
% 26.00/17.73 tff(30493,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | ((~v203(constB49)) | (~v86(constB49)))) <=> ((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | (~v203(constB49)) | (~v86(constB49)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30494,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | ((~v203(constB49)) | (~v86(constB49)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30495,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | (~v203(constB49)) | (~v86(constB49))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30494, 30493])).
% 26.00/17.73 tff(30496,plain,
% 26.00/17.73 (~v203(constB49)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30495, 29256, 30492])).
% 26.00/17.73 tff(30497,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | (v203(constB49) | (~v202(constB49)))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | v203(constB49) | (~v202(constB49)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30498,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | (v203(constB49) | (~v202(constB49)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30499,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | v203(constB49) | (~v202(constB49))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30498, 30497])).
% 26.00/17.73 tff(30500,plain,
% 26.00/17.73 (~v202(constB49)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30499, 29270, 30496])).
% 26.00/17.73 tff(30501,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | (v202(constB49) | (~v201(constB49)))) <=> ((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | v202(constB49) | (~v201(constB49)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30502,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | (v202(constB49) | (~v201(constB49)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30503,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | v202(constB49) | (~v201(constB49))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30502, 30501])).
% 26.00/17.73 tff(30504,plain,
% 26.00/17.73 (~v201(constB49)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30503, 29284, 30500])).
% 26.00/17.73 tff(30505,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB48)) | (~v185(constB48)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB48)) | (~v185(constB48)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30506,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB48)) | (~v185(constB48)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30507,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB48)) | (~v185(constB48))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30506, 30505])).
% 26.00/17.73 tff(30508,plain,
% 26.00/17.73 (~v185(constB48)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30507, 24010, 515])).
% 26.00/17.73 tff(30509,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB48) | (~v184(constB48)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB48) | (~v184(constB48)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30510,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB48) | (~v184(constB48)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30511,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB48) | (~v184(constB48))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30510, 30509])).
% 26.00/17.73 tff(30512,plain,
% 26.00/17.73 (~v184(constB48)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30511, 24024, 30508])).
% 26.00/17.73 tff(30513,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB48) | (~v180(constB48)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB48) | (~v180(constB48)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30514,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB48) | (~v180(constB48)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30515,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB48) | (~v180(constB48))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30514, 30513])).
% 26.00/17.73 tff(30516,plain,
% 26.00/17.73 (~v180(constB48)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30515, 23899, 30512])).
% 26.00/17.73 tff(30517,plain,
% 26.00/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB48, constB49)) | v180(constB48) | (~v182(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB48, constB49)) | v180(constB48) | (~v182(constB49)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30518,plain,
% 26.00/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB48, constB49)) | v180(constB48) | (~v182(constB49)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30519,plain,
% 26.00/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB48, constB49)) | v180(constB48) | (~v182(constB49))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30518, 30517])).
% 26.00/17.73 tff(30520,plain,
% 26.00/17.73 (v180(constB48) | (~v182(constB49))),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30519, 23916, 8317])).
% 26.00/17.73 tff(30521,plain,
% 26.00/17.73 (~v182(constB49)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30520, 30516])).
% 26.00/17.73 tff(30522,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB49) | (~v205(constB49)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB49) | (~v205(constB49)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30523,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB49) | (~v205(constB49)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30524,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB49) | (~v205(constB49))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30523, 30522])).
% 26.00/17.73 tff(30525,plain,
% 26.00/17.73 (~v205(constB49)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30524, 24139, 30521])).
% 26.00/17.73 tff(30526,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB49) | v205(constB49) | (~v200(constB49)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB49) | v205(constB49) | (~v200(constB49)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30527,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB49) | v205(constB49) | (~v200(constB49)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30528,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB49) | v205(constB49) | (~v200(constB49))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30527, 30526])).
% 26.00/17.73 tff(30529,plain,
% 26.00/17.73 (v201(constB49) | (~v200(constB49))),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30528, 24153, 30525])).
% 26.00/17.73 tff(30530,plain,
% 26.00/17.73 (~v200(constB49)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30529, 30504])).
% 26.00/17.73 tff(30531,plain,
% 26.00/17.73 ($false),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30530, 30419])).
% 26.00/17.73 tff(30532,plain,(~(constB49 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.00/17.73 tff(30533,assumption,(constB141 = sK0_VarCurr), introduced(assumption)).
% 26.00/17.73 tff(30534,plain,
% 26.00/17.73 (v200(constB141) <=> v200(sK0_VarCurr)),
% 26.00/17.73 inference(monotonicity,[status(thm)],[30533])).
% 26.00/17.73 tff(30535,plain,
% 26.00/17.73 (v200(sK0_VarCurr) <=> v200(constB141)),
% 26.00/17.73 inference(symmetry,[status(thm)],[30534])).
% 26.00/17.73 tff(30536,plain,
% 26.00/17.73 (v200(constB141)),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[788, 30535])).
% 26.00/17.73 tff(30537,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v139(constB139)) | (~v88(constB139, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v139(constB139)) | (~v88(constB139, bitIndex1)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30538,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v139(constB139)) | (~v88(constB139, bitIndex1)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30539,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v139(constB139)) | (~v88(constB139, bitIndex1))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30538, 30537])).
% 26.00/17.73 tff(30540,plain,
% 26.00/17.73 (~v139(constB139)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30539, 28656, 29977])).
% 26.00/17.73 tff(30541,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB139)) | (~v88(constB139, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB139)) | (~v88(constB139, bitIndex1)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30542,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB139)) | (~v88(constB139, bitIndex1)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30543,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB139)) | (~v88(constB139, bitIndex1))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30542, 30541])).
% 26.00/17.73 tff(30544,plain,
% 26.00/17.73 (~v140(constB139)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30543, 28667, 29977])).
% 26.00/17.73 tff(30545,plain,
% 26.00/17.73 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB139) | v140(constB139) | (~v170(constB139)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB139) | v140(constB139) | (~v170(constB139)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30546,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB139) | v140(constB139) | (~v170(constB139)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30547,plain,
% 26.00/17.73 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB139) | v140(constB139) | (~v170(constB139))),
% 26.00/17.73 inference(modus_ponens,[status(thm)],[30546, 30545])).
% 26.00/17.73 tff(30548,plain,
% 26.00/17.73 (~v170(constB139)),
% 26.00/17.73 inference(unit_resolution,[status(thm)],[30547, 23719, 30544, 30540])).
% 26.00/17.73 tff(30549,plain,
% 26.00/17.73 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB139)) | v170(constB139) | (~v166(constB139)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB139)) | v170(constB139) | (~v166(constB139)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30550,plain,
% 26.00/17.73 (((~v166(constB139)) | v170(constB139) | (~v163(constB139))) <=> ((~v163(constB139)) | v170(constB139) | (~v166(constB139)))),
% 26.00/17.73 inference(rewrite,[status(thm)],[])).
% 26.00/17.73 tff(30551,plain,
% 26.00/17.73 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB139)) | v170(constB139) | (~v163(constB139)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB139)) | v170(constB139) | (~v166(constB139))))),
% 26.00/17.73 inference(monotonicity,[status(thm)],[30550])).
% 26.00/17.73 tff(30552,plain,
% 26.00/17.73 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB139)) | v170(constB139) | (~v163(constB139)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB139)) | v170(constB139) | (~v166(constB139)))),
% 26.00/17.73 inference(transitivity,[status(thm)],[30551, 30549])).
% 26.00/17.73 tff(30553,plain,
% 26.00/17.73 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB139)) | v170(constB139) | (~v163(constB139)))),
% 26.00/17.73 inference(quant_inst,[status(thm)],[])).
% 26.00/17.73 tff(30554,plain,
% 26.00/17.73 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB139)) | v170(constB139) | (~v166(constB139))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30553, 30552])).
% 26.00/17.74 tff(30555,plain,
% 26.00/17.74 ((~v163(constB139)) | (~v166(constB139))),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30554, 23868, 30548])).
% 26.00/17.74 tff(30556,plain,
% 26.00/17.74 (~v163(constB139)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30555, 30000])).
% 26.00/17.74 tff(30557,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB139) | (~v184(constB139)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB139) | (~v184(constB139)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30558,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB139) | (~v184(constB139)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30559,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB139) | (~v184(constB139))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30558, 30557])).
% 26.00/17.74 tff(30560,plain,
% 26.00/17.74 (~v184(constB139)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30559, 23885, 30556])).
% 26.00/17.74 tff(30561,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB139) | (~v180(constB139)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB139) | (~v180(constB139)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30562,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB139) | (~v180(constB139)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30563,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB139) | (~v180(constB139))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30562, 30561])).
% 26.00/17.74 tff(30564,plain,
% 26.00/17.74 (~v180(constB139)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30563, 23899, 30560])).
% 26.00/17.74 tff(30565,plain,
% 26.00/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB139, constB140)) | v180(constB139) | (~v182(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB139, constB140)) | v180(constB139) | (~v182(constB140)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30566,plain,
% 26.00/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB139, constB140)) | v180(constB139) | (~v182(constB140)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30567,plain,
% 26.00/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB139, constB140)) | v180(constB139) | (~v182(constB140))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30566, 30565])).
% 26.00/17.74 tff(30568,plain,
% 26.00/17.74 (v180(constB139) | (~v182(constB140))),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30567, 23916, 22008])).
% 26.00/17.74 tff(30569,plain,
% 26.00/17.74 (~v182(constB140)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30568, 30564])).
% 26.00/17.74 tff(30570,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB140) | (~v196(constB140)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB140) | (~v196(constB140)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30571,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB140) | (~v196(constB140)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30572,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB140) | (~v196(constB140))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30571, 30570])).
% 26.00/17.74 tff(30573,plain,
% 26.00/17.74 (~v196(constB140)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30572, 23931, 30569])).
% 26.00/17.74 tff(30574,assumption,(v18(constB140)), introduced(assumption)).
% 26.00/17.74 tff(30575,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB140))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30576,plain,
% 26.00/17.74 ($false),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30575, 16985, 30574])).
% 26.00/17.74 tff(30577,plain,(~v18(constB140)), inference(lemma,lemma(discharge,[]))).
% 26.00/17.74 tff(30578,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB140) | (~v1(constB140)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB140) | (~v1(constB140)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30579,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB140) | (~v1(constB140)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30580,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB140) | (~v1(constB140))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30579, 30578])).
% 26.00/17.74 tff(30581,plain,
% 26.00/17.74 (v22(constB140)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30580, 16998, 581])).
% 26.00/17.74 tff(30582,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB140) | (~v22(constB140)) | (~v19(constB140)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB140) | (~v22(constB140)) | (~v19(constB140)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30583,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB140) | (~v22(constB140)) | (~v19(constB140)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30584,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB140) | (~v22(constB140)) | (~v19(constB140))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30583, 30582])).
% 26.00/17.74 tff(30585,plain,
% 26.00/17.74 (v18(constB140) | (~v19(constB140))),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30584, 17012, 30581])).
% 26.00/17.74 tff(30586,plain,
% 26.00/17.74 (~v19(constB140)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30585, 30577])).
% 26.00/17.74 tff(30587,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB140) | v19(constB140))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB140) | v19(constB140))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30588,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB140) | v19(constB140))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30589,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB140) | v19(constB140)),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30588, 30587])).
% 26.00/17.74 tff(30590,plain,
% 26.00/17.74 (v13(constB140)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30589, 17024, 30586])).
% 26.00/17.74 tff(30591,plain,
% 26.00/17.74 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB139) | (~v13(constB140)) | (~nextState(constB139, constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB139) | (~v13(constB140)) | (~nextState(constB139, constB140)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30592,plain,
% 26.00/17.74 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB139) | (~v13(constB140)) | (~nextState(constB139, constB140)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30593,plain,
% 26.00/17.74 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB139) | (~v13(constB140)) | (~nextState(constB139, constB140))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30592, 30591])).
% 26.00/17.74 tff(30594,plain,
% 26.00/17.74 (v9(constB139) | (~v13(constB140))),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30593, 17041, 22008])).
% 26.00/17.74 tff(30595,plain,
% 26.00/17.74 (v9(constB139)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30594, 30590])).
% 26.00/17.74 tff(30596,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB139) | (~v9(constB139)) | v185(constB139))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB139) | (~v9(constB139)) | v185(constB139))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30597,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB139) | (~v9(constB139)) | v185(constB139))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30598,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB139) | (~v9(constB139)) | v185(constB139)),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30597, 30596])).
% 26.00/17.74 tff(30599,plain,
% 26.00/17.74 ((~v9(constB139)) | v185(constB139)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30598, 23970, 21864])).
% 26.00/17.74 tff(30600,plain,
% 26.00/17.74 (v185(constB139)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30599, 30595])).
% 26.00/17.74 tff(30601,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB139)) | v195(constB139))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (~v185(constB139)) | v195(constB139))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30602,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB139)) | v195(constB139))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30603,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (~v185(constB139)) | v195(constB139)),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30602, 30601])).
% 26.00/17.74 tff(30604,plain,
% 26.00/17.74 (v195(constB139)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30603, 23982, 30600])).
% 26.00/17.74 tff(30605,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB139)) | (~v195(constB139)))) <=> ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB139)) | (~v195(constB139)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30606,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB139)) | (~v195(constB139)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30607,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB139)) | (~v195(constB139))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30606, 30605])).
% 26.00/17.74 tff(30608,plain,
% 26.00/17.74 (~v193(constB139)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30607, 23996, 30604])).
% 26.00/17.74 tff(30609,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB139) | (~v196(constB139)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB139) | (~v196(constB139)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30610,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB139) | (~v196(constB139)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30611,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB139) | (~v196(constB139))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30610, 30609])).
% 26.00/17.74 tff(30612,plain,
% 26.00/17.74 (~v196(constB139)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30611, 23931, 30036])).
% 26.00/17.74 tff(30613,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB139) | v196(constB139) | (~v190(constB139)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB139) | v196(constB139) | (~v190(constB139)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30614,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB139) | v196(constB139) | (~v190(constB139)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30615,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB139) | v196(constB139) | (~v190(constB139))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30614, 30613])).
% 26.00/17.74 tff(30616,plain,
% 26.00/17.74 (v193(constB139) | (~v190(constB139))),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30615, 24051, 30612])).
% 26.00/17.74 tff(30617,plain,
% 26.00/17.74 (~v190(constB139)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30616, 30608])).
% 26.00/17.74 tff(30618,plain,
% 26.00/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB139, constB140)) | v190(constB139) | (~v192(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB139, constB140)) | v190(constB139) | (~v192(constB140)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30619,plain,
% 26.00/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB139, constB140)) | v190(constB139) | (~v192(constB140)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30620,plain,
% 26.00/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB139, constB140)) | v190(constB139) | (~v192(constB140))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30619, 30618])).
% 26.00/17.74 tff(30621,plain,
% 26.00/17.74 (v190(constB139) | (~v192(constB140))),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30620, 24066, 22008])).
% 26.00/17.74 tff(30622,plain,
% 26.00/17.74 (~v192(constB140)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30621, 30617])).
% 26.00/17.74 tff(30623,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB140) | (~v193(constB140)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB140) | (~v193(constB140)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30624,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB140) | (~v193(constB140)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30625,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB140) | (~v193(constB140))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30624, 30623])).
% 26.00/17.74 tff(30626,plain,
% 26.00/17.74 (~v193(constB140)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30625, 24081, 30622])).
% 26.00/17.74 tff(30627,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB140) | v196(constB140) | (~v190(constB140)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB140) | v196(constB140) | (~v190(constB140)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30628,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB140) | v196(constB140) | (~v190(constB140)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30629,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB140) | v196(constB140) | (~v190(constB140))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30628, 30627])).
% 26.00/17.74 tff(30630,plain,
% 26.00/17.74 (v196(constB140) | (~v190(constB140))),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30629, 24051, 30626])).
% 26.00/17.74 tff(30631,plain,
% 26.00/17.74 (~v190(constB140)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30630, 30573])).
% 26.00/17.74 tff(30632,plain,
% 26.00/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB140, constB141)) | v190(constB140) | (~v192(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB140, constB141)) | v190(constB140) | (~v192(constB141)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30633,plain,
% 26.00/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB140, constB141)) | v190(constB140) | (~v192(constB141)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30634,plain,
% 26.00/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB140, constB141)) | v190(constB140) | (~v192(constB141))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30633, 30632])).
% 26.00/17.74 tff(30635,plain,
% 26.00/17.74 (v190(constB140) | (~v192(constB141))),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30634, 24066, 22067])).
% 26.00/17.74 tff(30636,plain,
% 26.00/17.74 (~v192(constB141)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30635, 30631])).
% 26.00/17.74 tff(30637,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB141) | (~v201(constB141)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB141) | (~v201(constB141)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30638,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB141) | (~v201(constB141)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30639,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB141) | (~v201(constB141))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30638, 30637])).
% 26.00/17.74 tff(30640,plain,
% 26.00/17.74 (~v201(constB141)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30639, 24108, 30636])).
% 26.00/17.74 tff(30641,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB140)) | (~v185(constB140)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB140)) | (~v185(constB140)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30642,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB140)) | (~v185(constB140)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30643,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB140)) | (~v185(constB140))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30642, 30641])).
% 26.00/17.74 tff(30644,plain,
% 26.00/17.74 (~v185(constB140)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30643, 24010, 581])).
% 26.00/17.74 tff(30645,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB140) | (~v184(constB140)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB140) | (~v184(constB140)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30646,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB140) | (~v184(constB140)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30647,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB140) | (~v184(constB140))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30646, 30645])).
% 26.00/17.74 tff(30648,plain,
% 26.00/17.74 (~v184(constB140)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30647, 24024, 30644])).
% 26.00/17.74 tff(30649,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB140) | (~v180(constB140)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB140) | (~v180(constB140)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30650,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB140) | (~v180(constB140)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30651,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB140) | (~v180(constB140))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30650, 30649])).
% 26.00/17.74 tff(30652,plain,
% 26.00/17.74 (~v180(constB140)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30651, 23899, 30648])).
% 26.00/17.74 tff(30653,plain,
% 26.00/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB140, constB141)) | v180(constB140) | (~v182(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB140, constB141)) | v180(constB140) | (~v182(constB141)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30654,plain,
% 26.00/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB140, constB141)) | v180(constB140) | (~v182(constB141)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30655,plain,
% 26.00/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB140, constB141)) | v180(constB140) | (~v182(constB141))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30654, 30653])).
% 26.00/17.74 tff(30656,plain,
% 26.00/17.74 (v180(constB140) | (~v182(constB141))),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30655, 23916, 22067])).
% 26.00/17.74 tff(30657,plain,
% 26.00/17.74 (~v182(constB141)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30656, 30652])).
% 26.00/17.74 tff(30658,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB141) | (~v205(constB141)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB141) | (~v205(constB141)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30659,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB141) | (~v205(constB141)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30660,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB141) | (~v205(constB141))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30659, 30658])).
% 26.00/17.74 tff(30661,plain,
% 26.00/17.74 (~v205(constB141)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30660, 24139, 30657])).
% 26.00/17.74 tff(30662,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB141) | v205(constB141) | (~v200(constB141)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB141) | v205(constB141) | (~v200(constB141)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30663,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB141) | v205(constB141) | (~v200(constB141)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30664,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB141) | v205(constB141) | (~v200(constB141))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30663, 30662])).
% 26.00/17.74 tff(30665,plain,
% 26.00/17.74 (v201(constB141) | (~v200(constB141))),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30664, 24153, 30661])).
% 26.00/17.74 tff(30666,plain,
% 26.00/17.74 (~v200(constB141)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30665, 30640])).
% 26.00/17.74 tff(30667,plain,
% 26.00/17.74 ($false),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30666, 30536])).
% 26.00/17.74 tff(30668,plain,(~(constB141 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.00/17.74 tff(30669,assumption,(constB33 = sK0_VarCurr), introduced(assumption)).
% 26.00/17.74 tff(30670,plain,
% 26.00/17.74 (v200(constB33) <=> v200(sK0_VarCurr)),
% 26.00/17.74 inference(monotonicity,[status(thm)],[30669])).
% 26.00/17.74 tff(30671,plain,
% 26.00/17.74 (v200(sK0_VarCurr) <=> v200(constB33)),
% 26.00/17.74 inference(symmetry,[status(thm)],[30670])).
% 26.00/17.74 tff(30672,plain,
% 26.00/17.74 (v200(constB33)),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[788, 30671])).
% 26.00/17.74 tff(30673,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB31, bitIndex2)) | v90(constB31, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB31, bitIndex2)) | v90(constB31, bitIndex2))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30674,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB31, bitIndex2)) | v90(constB31, bitIndex2))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30675,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB31, bitIndex2)) | v90(constB31, bitIndex2)),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30674, 30673])).
% 26.00/17.74 tff(30676,plain,
% 26.00/17.74 (~v88(constB31, bitIndex2)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30675, 28577, 5324])).
% 26.00/17.74 tff(30677,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB31, bitIndex1)) | v88(constB31, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB31, bitIndex1)) | v88(constB31, bitIndex1))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30678,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB31, bitIndex1)) | v88(constB31, bitIndex1))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30679,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB31, bitIndex1)) | v88(constB31, bitIndex1)),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30678, 30677])).
% 26.00/17.74 tff(30680,plain,
% 26.00/17.74 (v88(constB31, bitIndex1)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30679, 28592, 5355])).
% 26.00/17.74 tff(30681,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB31, bitIndex0)) | v88(constB31, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB31, bitIndex0)) | v88(constB31, bitIndex0))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30682,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB31, bitIndex0)) | v88(constB31, bitIndex0))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30683,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB31, bitIndex0)) | v88(constB31, bitIndex0)),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30682, 30681])).
% 26.00/17.74 tff(30684,plain,
% 26.00/17.74 (v88(constB31, bitIndex0)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30683, 28834, 5386])).
% 26.00/17.74 tff(30685,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB31, bitIndex2) | (~v88(constB31, bitIndex1)) | (~v88(constB31, bitIndex0)) | v141(constB31))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex1)) | (~v88(constB31, bitIndex0)) | v141(constB31))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30686,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB31, bitIndex2) | (~v88(constB31, bitIndex1)) | (~v88(constB31, bitIndex0)) | v141(constB31))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30687,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex1)) | (~v88(constB31, bitIndex0)) | v141(constB31)),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30686, 30685])).
% 26.00/17.74 tff(30688,plain,
% 26.00/17.74 (v141(constB31)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30687, 28848, 30684, 30680, 30676])).
% 26.00/17.74 tff(30689,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB31)) | v168(constB31))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB31)) | v168(constB31))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30690,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB31)) | v168(constB31))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30691,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB31)) | v168(constB31)),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30690, 30689])).
% 26.00/17.74 tff(30692,plain,
% 26.00/17.74 (v168(constB31)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30691, 28862, 30688])).
% 26.00/17.74 tff(30693,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB31) | (~v168(constB31)))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB31) | (~v168(constB31)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30694,plain,
% 26.00/17.74 (((~v168(constB31)) | v167(constB31)) <=> (v167(constB31) | (~v168(constB31)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30695,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB31)) | v167(constB31))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB31) | (~v168(constB31))))),
% 26.00/17.74 inference(monotonicity,[status(thm)],[30694])).
% 26.00/17.74 tff(30696,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB31)) | v167(constB31))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB31) | (~v168(constB31)))),
% 26.00/17.74 inference(transitivity,[status(thm)],[30695, 30693])).
% 26.00/17.74 tff(30697,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB31)) | v167(constB31))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30698,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB31) | (~v168(constB31))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30697, 30696])).
% 26.00/17.74 tff(30699,plain,
% 26.00/17.74 (v167(constB31)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30698, 28873, 30692])).
% 26.00/17.74 tff(30700,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB31) | (~v167(constB31)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB31) | (~v167(constB31)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30701,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB31) | (~v167(constB31)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30702,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB31) | (~v167(constB31))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30701, 30700])).
% 26.00/17.74 tff(30703,plain,
% 26.00/17.74 (v166(constB31)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30702, 28645, 30699])).
% 26.00/17.74 tff(30704,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB31)) | (~v88(constB31, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB31)) | (~v88(constB31, bitIndex1)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30705,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB31)) | (~v88(constB31, bitIndex1)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30706,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB31)) | (~v88(constB31, bitIndex1))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30705, 30704])).
% 26.00/17.74 tff(30707,plain,
% 26.00/17.74 (~v140(constB31)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30706, 28667, 30680])).
% 26.00/17.74 tff(30708,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))) | ((~v139(constB31)) | (~v88(constB31, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))) | (~v139(constB31)) | (~v88(constB31, bitIndex0)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30709,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))) | ((~v139(constB31)) | (~v88(constB31, bitIndex0)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30710,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))) | (~v139(constB31)) | (~v88(constB31, bitIndex0))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30709, 30708])).
% 26.00/17.74 tff(30711,plain,
% 26.00/17.74 (~v139(constB31)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30710, 28895, 30684])).
% 26.00/17.74 tff(30712,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB31) | v140(constB31) | (~v170(constB31)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB31) | v140(constB31) | (~v170(constB31)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30713,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB31) | v140(constB31) | (~v170(constB31)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30714,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB31) | v140(constB31) | (~v170(constB31))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30713, 30712])).
% 26.00/17.74 tff(30715,plain,
% 26.00/17.74 (~v170(constB31)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30714, 23719, 30711, 30707])).
% 26.00/17.74 tff(30716,plain,
% 26.00/17.74 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB31)) | (~v166(constB31)) | v170(constB31))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB31)) | (~v166(constB31)) | v170(constB31))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30717,plain,
% 26.00/17.74 (((~v166(constB31)) | v170(constB31) | (~v163(constB31))) <=> ((~v163(constB31)) | (~v166(constB31)) | v170(constB31))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30718,plain,
% 26.00/17.74 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB31)) | v170(constB31) | (~v163(constB31)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB31)) | (~v166(constB31)) | v170(constB31)))),
% 26.00/17.74 inference(monotonicity,[status(thm)],[30717])).
% 26.00/17.74 tff(30719,plain,
% 26.00/17.74 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB31)) | v170(constB31) | (~v163(constB31)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB31)) | (~v166(constB31)) | v170(constB31))),
% 26.00/17.74 inference(transitivity,[status(thm)],[30718, 30716])).
% 26.00/17.74 tff(30720,plain,
% 26.00/17.74 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB31)) | v170(constB31) | (~v163(constB31)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30721,plain,
% 26.00/17.74 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB31)) | (~v166(constB31)) | v170(constB31)),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30720, 30719])).
% 26.00/17.74 tff(30722,plain,
% 26.00/17.74 ((~v163(constB31)) | (~v166(constB31))),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30721, 23868, 30715])).
% 26.00/17.74 tff(30723,plain,
% 26.00/17.74 (~v163(constB31)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30722, 30703])).
% 26.00/17.74 tff(30724,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB31) | (~v184(constB31)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB31) | (~v184(constB31)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30725,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB31) | (~v184(constB31)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30726,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB31) | (~v184(constB31))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30725, 30724])).
% 26.00/17.74 tff(30727,plain,
% 26.00/17.74 (~v184(constB31)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30726, 23885, 30723])).
% 26.00/17.74 tff(30728,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB31) | (~v180(constB31)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB31) | (~v180(constB31)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30729,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB31) | (~v180(constB31)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30730,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB31) | (~v180(constB31))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30729, 30728])).
% 26.00/17.74 tff(30731,plain,
% 26.00/17.74 (~v180(constB31)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30730, 23899, 30727])).
% 26.00/17.74 tff(30732,plain,
% 26.00/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB31, constB32)) | v180(constB31) | (~v182(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB31, constB32)) | v180(constB31) | (~v182(constB32)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30733,plain,
% 26.00/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB31, constB32)) | v180(constB31) | (~v182(constB32)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30734,plain,
% 26.00/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB31, constB32)) | v180(constB31) | (~v182(constB32))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30733, 30732])).
% 26.00/17.74 tff(30735,plain,
% 26.00/17.74 (v180(constB31) | (~v182(constB32))),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30734, 23916, 5437])).
% 26.00/17.74 tff(30736,plain,
% 26.00/17.74 (~v182(constB32)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30735, 30731])).
% 26.00/17.74 tff(30737,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB32) | (~v196(constB32)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB32) | (~v196(constB32)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30738,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB32) | (~v196(constB32)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30739,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB32) | (~v196(constB32))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30738, 30737])).
% 26.00/17.74 tff(30740,plain,
% 26.00/17.74 (~v196(constB32)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30739, 23931, 30736])).
% 26.00/17.74 tff(30741,assumption,(v18(constB32)), introduced(assumption)).
% 26.00/17.74 tff(30742,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB32))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30743,plain,
% 26.00/17.74 ($false),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30742, 16985, 30741])).
% 26.00/17.74 tff(30744,plain,(~v18(constB32)), inference(lemma,lemma(discharge,[]))).
% 26.00/17.74 tff(30745,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB32) | (~v1(constB32)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB32) | (~v1(constB32)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30746,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB32) | (~v1(constB32)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30747,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB32) | (~v1(constB32))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30746, 30745])).
% 26.00/17.74 tff(30748,plain,
% 26.00/17.74 (v22(constB32)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30747, 16998, 625])).
% 26.00/17.74 tff(30749,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB32) | (~v22(constB32)) | (~v19(constB32)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB32) | (~v22(constB32)) | (~v19(constB32)))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30750,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB32) | (~v22(constB32)) | (~v19(constB32)))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30751,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB32) | (~v22(constB32)) | (~v19(constB32))),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30750, 30749])).
% 26.00/17.74 tff(30752,plain,
% 26.00/17.74 (v18(constB32) | (~v19(constB32))),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30751, 17012, 30748])).
% 26.00/17.74 tff(30753,plain,
% 26.00/17.74 (~v19(constB32)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30752, 30744])).
% 26.00/17.74 tff(30754,plain,
% 26.00/17.74 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB32) | v19(constB32))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB32) | v19(constB32))),
% 26.00/17.74 inference(rewrite,[status(thm)],[])).
% 26.00/17.74 tff(30755,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB32) | v19(constB32))),
% 26.00/17.74 inference(quant_inst,[status(thm)],[])).
% 26.00/17.74 tff(30756,plain,
% 26.00/17.74 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB32) | v19(constB32)),
% 26.00/17.74 inference(modus_ponens,[status(thm)],[30755, 30754])).
% 26.00/17.74 tff(30757,plain,
% 26.00/17.74 (v13(constB32)),
% 26.00/17.74 inference(unit_resolution,[status(thm)],[30756, 17024, 30753])).
% 26.00/17.74 tff(30758,plain,
% 26.00/17.74 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB31) | (~v13(constB32)) | (~nextState(constB31, constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB31) | (~v13(constB32)) | (~nextState(constB31, constB32)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30759,plain,
% 26.00/17.75 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB31) | (~v13(constB32)) | (~nextState(constB31, constB32)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30760,plain,
% 26.00/17.75 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB31) | (~v13(constB32)) | (~nextState(constB31, constB32))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30759, 30758])).
% 26.00/17.75 tff(30761,plain,
% 26.00/17.75 (v9(constB31) | (~v13(constB32))),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30760, 17041, 5437])).
% 26.00/17.75 tff(30762,plain,
% 26.00/17.75 (v9(constB31)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30761, 30757])).
% 26.00/17.75 tff(30763,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB31) | (~v9(constB31)) | v185(constB31))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB31) | (~v9(constB31)) | v185(constB31))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30764,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB31) | (~v9(constB31)) | v185(constB31))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30765,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB31) | (~v9(constB31)) | v185(constB31)),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30764, 30763])).
% 26.00/17.75 tff(30766,plain,
% 26.00/17.75 ((~v9(constB31)) | v185(constB31)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30765, 23970, 5300])).
% 26.00/17.75 tff(30767,plain,
% 26.00/17.75 (v185(constB31)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30766, 30762])).
% 26.00/17.75 tff(30768,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (v195(constB31) | (~v185(constB31)))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB31) | (~v185(constB31)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30769,plain,
% 26.00/17.75 (((~v185(constB31)) | v195(constB31)) <=> (v195(constB31) | (~v185(constB31)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30770,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB31)) | v195(constB31))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (v195(constB31) | (~v185(constB31))))),
% 26.00/17.75 inference(monotonicity,[status(thm)],[30769])).
% 26.00/17.75 tff(30771,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB31)) | v195(constB31))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB31) | (~v185(constB31)))),
% 26.00/17.75 inference(transitivity,[status(thm)],[30770, 30768])).
% 26.00/17.75 tff(30772,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB31)) | v195(constB31))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30773,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB31) | (~v185(constB31))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30772, 30771])).
% 26.00/17.75 tff(30774,plain,
% 26.00/17.75 (v195(constB31)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30773, 23982, 30767])).
% 26.00/17.75 tff(30775,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB31)) | (~v195(constB31)))) <=> ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB31)) | (~v195(constB31)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30776,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB31)) | (~v195(constB31)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30777,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB31)) | (~v195(constB31))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30776, 30775])).
% 26.00/17.75 tff(30778,plain,
% 26.00/17.75 (~v193(constB31)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30777, 23996, 30774])).
% 26.00/17.75 tff(30779,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB31) | (~v196(constB31)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB31) | (~v196(constB31)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30780,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB31) | (~v196(constB31)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30781,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB31) | (~v196(constB31))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30780, 30779])).
% 26.00/17.75 tff(30782,plain,
% 26.00/17.75 (~v196(constB31)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30781, 23931, 28804])).
% 26.00/17.75 tff(30783,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB31) | v196(constB31) | (~v190(constB31)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB31) | v196(constB31) | (~v190(constB31)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30784,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB31) | v196(constB31) | (~v190(constB31)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30785,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB31) | v196(constB31) | (~v190(constB31))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30784, 30783])).
% 26.00/17.75 tff(30786,plain,
% 26.00/17.75 (v193(constB31) | (~v190(constB31))),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30785, 24051, 30782])).
% 26.00/17.75 tff(30787,plain,
% 26.00/17.75 (~v190(constB31)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30786, 30778])).
% 26.00/17.75 tff(30788,plain,
% 26.00/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB31, constB32)) | v190(constB31) | (~v192(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB31, constB32)) | v190(constB31) | (~v192(constB32)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30789,plain,
% 26.00/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB31, constB32)) | v190(constB31) | (~v192(constB32)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30790,plain,
% 26.00/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB31, constB32)) | v190(constB31) | (~v192(constB32))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30789, 30788])).
% 26.00/17.75 tff(30791,plain,
% 26.00/17.75 (v190(constB31) | (~v192(constB32))),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30790, 24066, 5437])).
% 26.00/17.75 tff(30792,plain,
% 26.00/17.75 (~v192(constB32)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30791, 30787])).
% 26.00/17.75 tff(30793,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB32) | (~v193(constB32)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB32) | (~v193(constB32)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30794,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB32) | (~v193(constB32)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30795,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB32) | (~v193(constB32))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30794, 30793])).
% 26.00/17.75 tff(30796,plain,
% 26.00/17.75 (~v193(constB32)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30795, 24081, 30792])).
% 26.00/17.75 tff(30797,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB32) | v196(constB32) | (~v190(constB32)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB32) | v196(constB32) | (~v190(constB32)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30798,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB32) | v196(constB32) | (~v190(constB32)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30799,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB32) | v196(constB32) | (~v190(constB32))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30798, 30797])).
% 26.00/17.75 tff(30800,plain,
% 26.00/17.75 (v196(constB32) | (~v190(constB32))),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30799, 24051, 30796])).
% 26.00/17.75 tff(30801,plain,
% 26.00/17.75 (~v190(constB32)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30800, 30740])).
% 26.00/17.75 tff(30802,plain,
% 26.00/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB32, constB33)) | v190(constB32) | (~v192(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB32, constB33)) | v190(constB32) | (~v192(constB33)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30803,plain,
% 26.00/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB32, constB33)) | v190(constB32) | (~v192(constB33)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30804,plain,
% 26.00/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB32, constB33)) | v190(constB32) | (~v192(constB33))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30803, 30802])).
% 26.00/17.75 tff(30805,plain,
% 26.00/17.75 (v190(constB32) | (~v192(constB33))),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30804, 24066, 5499])).
% 26.00/17.75 tff(30806,plain,
% 26.00/17.75 (~v192(constB33)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30805, 30801])).
% 26.00/17.75 tff(30807,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB33) | (~v201(constB33)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB33) | (~v201(constB33)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30808,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB33) | (~v201(constB33)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30809,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB33) | (~v201(constB33))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30808, 30807])).
% 26.00/17.75 tff(30810,plain,
% 26.00/17.75 (~v201(constB33)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30809, 24108, 30806])).
% 26.00/17.75 tff(30811,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB32)) | (~v185(constB32)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB32)) | (~v185(constB32)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30812,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB32)) | (~v185(constB32)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30813,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB32)) | (~v185(constB32))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30812, 30811])).
% 26.00/17.75 tff(30814,plain,
% 26.00/17.75 (~v185(constB32)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30813, 24010, 625])).
% 26.00/17.75 tff(30815,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB32) | (~v184(constB32)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB32) | (~v184(constB32)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30816,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB32) | (~v184(constB32)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30817,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB32) | (~v184(constB32))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30816, 30815])).
% 26.00/17.75 tff(30818,plain,
% 26.00/17.75 (~v184(constB32)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30817, 24024, 30814])).
% 26.00/17.75 tff(30819,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB32) | (~v180(constB32)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB32) | (~v180(constB32)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30820,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB32) | (~v180(constB32)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30821,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB32) | (~v180(constB32))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30820, 30819])).
% 26.00/17.75 tff(30822,plain,
% 26.00/17.75 (~v180(constB32)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30821, 23899, 30818])).
% 26.00/17.75 tff(30823,plain,
% 26.00/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB32, constB33)) | v180(constB32) | (~v182(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB32, constB33)) | v180(constB32) | (~v182(constB33)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30824,plain,
% 26.00/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB32, constB33)) | v180(constB32) | (~v182(constB33)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30825,plain,
% 26.00/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB32, constB33)) | v180(constB32) | (~v182(constB33))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30824, 30823])).
% 26.00/17.75 tff(30826,plain,
% 26.00/17.75 (v180(constB32) | (~v182(constB33))),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30825, 23916, 5499])).
% 26.00/17.75 tff(30827,plain,
% 26.00/17.75 (~v182(constB33)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30826, 30822])).
% 26.00/17.75 tff(30828,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB33) | (~v205(constB33)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB33) | (~v205(constB33)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30829,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB33) | (~v205(constB33)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30830,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB33) | (~v205(constB33))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30829, 30828])).
% 26.00/17.75 tff(30831,plain,
% 26.00/17.75 (~v205(constB33)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30830, 24139, 30827])).
% 26.00/17.75 tff(30832,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB33) | v205(constB33) | (~v200(constB33)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB33) | v205(constB33) | (~v200(constB33)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30833,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB33) | v205(constB33) | (~v200(constB33)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30834,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB33) | v205(constB33) | (~v200(constB33))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30833, 30832])).
% 26.00/17.75 tff(30835,plain,
% 26.00/17.75 (v201(constB33) | (~v200(constB33))),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30834, 24153, 30831])).
% 26.00/17.75 tff(30836,plain,
% 26.00/17.75 (~v200(constB33)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30835, 30810])).
% 26.00/17.75 tff(30837,plain,
% 26.00/17.75 ($false),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30836, 30672])).
% 26.00/17.75 tff(30838,plain,(~(constB33 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.00/17.75 tff(30839,assumption,(constB67 = sK0_VarCurr), introduced(assumption)).
% 26.00/17.75 tff(30840,plain,
% 26.00/17.75 (v200(constB67) <=> v200(sK0_VarCurr)),
% 26.00/17.75 inference(monotonicity,[status(thm)],[30839])).
% 26.00/17.75 tff(30841,plain,
% 26.00/17.75 (v200(sK0_VarCurr) <=> v200(constB67)),
% 26.00/17.75 inference(symmetry,[status(thm)],[30840])).
% 26.00/17.75 tff(30842,plain,
% 26.00/17.75 (v200(constB67)),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[788, 30841])).
% 26.00/17.75 tff(30843,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB65, bitIndex0)) | v90(constB65, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB65, bitIndex0)) | v90(constB65, bitIndex0))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30844,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB65, bitIndex0)) | v90(constB65, bitIndex0))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30845,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB65, bitIndex0)) | v90(constB65, bitIndex0)),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30844, 30843])).
% 26.00/17.75 tff(30846,plain,
% 26.00/17.75 (~v88(constB65, bitIndex0)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30845, 23809, 10291])).
% 26.00/17.75 tff(30847,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB65, bitIndex2)) | v88(constB65, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB65, bitIndex2)) | v88(constB65, bitIndex2))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30848,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB65, bitIndex2)) | v88(constB65, bitIndex2))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30849,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB65, bitIndex2)) | v88(constB65, bitIndex2)),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30848, 30847])).
% 26.00/17.75 tff(30850,plain,
% 26.00/17.75 (v88(constB65, bitIndex2)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30849, 23683, 10178])).
% 26.00/17.75 tff(30851,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB65, bitIndex1)) | v88(constB65, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB65, bitIndex1)) | v88(constB65, bitIndex1))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30852,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB65, bitIndex1)) | v88(constB65, bitIndex1))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30853,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB65, bitIndex1)) | v88(constB65, bitIndex1)),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30852, 30851])).
% 26.00/17.75 tff(30854,plain,
% 26.00/17.75 (v88(constB65, bitIndex1)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30853, 28592, 10217])).
% 26.00/17.75 tff(30855,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)) | v88(constB65, bitIndex0) | v144(constB65))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)) | v88(constB65, bitIndex0) | v144(constB65))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30856,plain,
% 26.00/17.75 (((~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0) | v144(constB65)) <=> ((~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)) | v88(constB65, bitIndex0) | v144(constB65))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30857,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0) | v144(constB65))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)) | v88(constB65, bitIndex0) | v144(constB65)))),
% 26.00/17.75 inference(monotonicity,[status(thm)],[30856])).
% 26.00/17.75 tff(30858,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0) | v144(constB65))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)) | v88(constB65, bitIndex0) | v144(constB65))),
% 26.00/17.75 inference(transitivity,[status(thm)],[30857, 30855])).
% 26.00/17.75 tff(30859,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0) | v144(constB65))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30860,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)) | v88(constB65, bitIndex0) | v144(constB65)),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30859, 30858])).
% 26.00/17.75 tff(30861,plain,
% 26.00/17.75 (v144(constB65)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30860, 30257, 30854, 30850, 30846])).
% 26.00/17.75 tff(30862,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB65)) | v142(constB65))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB65)) | v142(constB65))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30863,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB65)) | v142(constB65))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30864,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB65)) | v142(constB65)),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30863, 30862])).
% 26.00/17.75 tff(30865,plain,
% 26.00/17.75 (v142(constB65)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30864, 30271, 30861])).
% 26.00/17.75 tff(30866,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB65)) | v167(constB65))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB65)) | v167(constB65))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30867,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB65)) | v167(constB65))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30868,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB65)) | v167(constB65)),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30867, 30866])).
% 26.00/17.75 tff(30869,plain,
% 26.00/17.75 (v167(constB65)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30868, 28631, 30865])).
% 26.00/17.75 tff(30870,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB65) | (~v167(constB65)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB65) | (~v167(constB65)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30871,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB65) | (~v167(constB65)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30872,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB65) | (~v167(constB65))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30871, 30870])).
% 26.00/17.75 tff(30873,plain,
% 26.00/17.75 (v166(constB65)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30872, 28645, 30869])).
% 26.00/17.75 tff(30874,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v139(constB65)) | (~v88(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v139(constB65)) | (~v88(constB65, bitIndex1)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30875,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v139(constB65)) | (~v88(constB65, bitIndex1)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30876,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v139(constB65)) | (~v88(constB65, bitIndex1))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30875, 30874])).
% 26.00/17.75 tff(30877,plain,
% 26.00/17.75 (~v139(constB65)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30876, 28656, 30854])).
% 26.00/17.75 tff(30878,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB65)) | (~v88(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB65)) | (~v88(constB65, bitIndex1)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30879,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB65)) | (~v88(constB65, bitIndex1)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30880,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB65)) | (~v88(constB65, bitIndex1))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30879, 30878])).
% 26.00/17.75 tff(30881,plain,
% 26.00/17.75 (~v140(constB65)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30880, 28667, 30854])).
% 26.00/17.75 tff(30882,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB65) | v140(constB65) | (~v170(constB65)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB65) | v140(constB65) | (~v170(constB65)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30883,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB65) | v140(constB65) | (~v170(constB65)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30884,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB65) | v140(constB65) | (~v170(constB65))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30883, 30882])).
% 26.00/17.75 tff(30885,plain,
% 26.00/17.75 (~v170(constB65)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30884, 23719, 30881, 30877])).
% 26.00/17.75 tff(30886,plain,
% 26.00/17.75 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB65)) | (~v166(constB65)) | v170(constB65))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB65)) | (~v166(constB65)) | v170(constB65))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30887,plain,
% 26.00/17.75 (((~v166(constB65)) | v170(constB65) | (~v163(constB65))) <=> ((~v163(constB65)) | (~v166(constB65)) | v170(constB65))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30888,plain,
% 26.00/17.75 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB65)) | v170(constB65) | (~v163(constB65)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB65)) | (~v166(constB65)) | v170(constB65)))),
% 26.00/17.75 inference(monotonicity,[status(thm)],[30887])).
% 26.00/17.75 tff(30889,plain,
% 26.00/17.75 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB65)) | v170(constB65) | (~v163(constB65)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB65)) | (~v166(constB65)) | v170(constB65))),
% 26.00/17.75 inference(transitivity,[status(thm)],[30888, 30886])).
% 26.00/17.75 tff(30890,plain,
% 26.00/17.75 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB65)) | v170(constB65) | (~v163(constB65)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30891,plain,
% 26.00/17.75 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB65)) | (~v166(constB65)) | v170(constB65)),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30890, 30889])).
% 26.00/17.75 tff(30892,plain,
% 26.00/17.75 ((~v163(constB65)) | (~v166(constB65))),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30891, 23868, 30885])).
% 26.00/17.75 tff(30893,plain,
% 26.00/17.75 (~v163(constB65)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30892, 30873])).
% 26.00/17.75 tff(30894,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB65) | (~v184(constB65)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB65) | (~v184(constB65)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30895,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB65) | (~v184(constB65)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30896,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB65) | (~v184(constB65))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30895, 30894])).
% 26.00/17.75 tff(30897,plain,
% 26.00/17.75 (~v184(constB65)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30896, 23885, 30893])).
% 26.00/17.75 tff(30898,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB65) | (~v180(constB65)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB65) | (~v180(constB65)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30899,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB65) | (~v180(constB65)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30900,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB65) | (~v180(constB65))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30899, 30898])).
% 26.00/17.75 tff(30901,plain,
% 26.00/17.75 (~v180(constB65)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30900, 23899, 30897])).
% 26.00/17.75 tff(30902,plain,
% 26.00/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB65, constB66)) | v180(constB65) | (~v182(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB65, constB66)) | v180(constB65) | (~v182(constB66)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30903,plain,
% 26.00/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB65, constB66)) | v180(constB65) | (~v182(constB66)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30904,plain,
% 26.00/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB65, constB66)) | v180(constB65) | (~v182(constB66))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30903, 30902])).
% 26.00/17.75 tff(30905,plain,
% 26.00/17.75 (v180(constB65) | (~v182(constB66))),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30904, 23916, 10252])).
% 26.00/17.75 tff(30906,plain,
% 26.00/17.75 (~v182(constB66)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30905, 30901])).
% 26.00/17.75 tff(30907,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB66) | (~v196(constB66)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB66) | (~v196(constB66)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30908,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB66) | (~v196(constB66)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30909,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB66) | (~v196(constB66))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30908, 30907])).
% 26.00/17.75 tff(30910,plain,
% 26.00/17.75 (~v196(constB66)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30909, 23931, 30906])).
% 26.00/17.75 tff(30911,assumption,(v18(constB66)), introduced(assumption)).
% 26.00/17.75 tff(30912,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB66))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30913,plain,
% 26.00/17.75 ($false),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30912, 16985, 30911])).
% 26.00/17.75 tff(30914,plain,(~v18(constB66)), inference(lemma,lemma(discharge,[]))).
% 26.00/17.75 tff(30915,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB66) | (~v1(constB66)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB66) | (~v1(constB66)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30916,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB66) | (~v1(constB66)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30917,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB66) | (~v1(constB66))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30916, 30915])).
% 26.00/17.75 tff(30918,plain,
% 26.00/17.75 (v22(constB66)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30917, 16998, 306])).
% 26.00/17.75 tff(30919,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB66) | (~v22(constB66)) | (~v19(constB66)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB66) | (~v22(constB66)) | (~v19(constB66)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30920,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB66) | (~v22(constB66)) | (~v19(constB66)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30921,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB66) | (~v22(constB66)) | (~v19(constB66))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30920, 30919])).
% 26.00/17.75 tff(30922,plain,
% 26.00/17.75 (v18(constB66) | (~v19(constB66))),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30921, 17012, 30918])).
% 26.00/17.75 tff(30923,plain,
% 26.00/17.75 (~v19(constB66)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30922, 30914])).
% 26.00/17.75 tff(30924,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB66) | v19(constB66))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB66) | v19(constB66))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30925,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB66) | v19(constB66))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30926,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB66) | v19(constB66)),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30925, 30924])).
% 26.00/17.75 tff(30927,plain,
% 26.00/17.75 (v13(constB66)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30926, 17024, 30923])).
% 26.00/17.75 tff(30928,plain,
% 26.00/17.75 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB65) | (~v13(constB66)) | (~nextState(constB65, constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB65) | (~v13(constB66)) | (~nextState(constB65, constB66)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30929,plain,
% 26.00/17.75 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB65) | (~v13(constB66)) | (~nextState(constB65, constB66)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30930,plain,
% 26.00/17.75 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB65) | (~v13(constB66)) | (~nextState(constB65, constB66))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30929, 30928])).
% 26.00/17.75 tff(30931,plain,
% 26.00/17.75 (v9(constB65) | (~v13(constB66))),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30930, 17041, 10252])).
% 26.00/17.75 tff(30932,plain,
% 26.00/17.75 (v9(constB65)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30931, 30927])).
% 26.00/17.75 tff(30933,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB65) | (~v9(constB65)) | v185(constB65))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB65) | (~v9(constB65)) | v185(constB65))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30934,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB65) | (~v9(constB65)) | v185(constB65))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30935,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB65) | (~v9(constB65)) | v185(constB65)),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30934, 30933])).
% 26.00/17.75 tff(30936,plain,
% 26.00/17.75 ((~v9(constB65)) | v185(constB65)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30935, 23970, 10154])).
% 26.00/17.75 tff(30937,plain,
% 26.00/17.75 (v185(constB65)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30936, 30932])).
% 26.00/17.75 tff(30938,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB65)) | v195(constB65))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (~v185(constB65)) | v195(constB65))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30939,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB65)) | v195(constB65))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30940,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (~v185(constB65)) | v195(constB65)),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30939, 30938])).
% 26.00/17.75 tff(30941,plain,
% 26.00/17.75 (v195(constB65)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30940, 23982, 30937])).
% 26.00/17.75 tff(30942,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB65)) | (~v195(constB65)))) <=> ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB65)) | (~v195(constB65)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30943,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB65)) | (~v195(constB65)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30944,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB65)) | (~v195(constB65))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30943, 30942])).
% 26.00/17.75 tff(30945,plain,
% 26.00/17.75 (~v193(constB65)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30944, 23996, 30941])).
% 26.00/17.75 tff(30946,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB64)) | (~v185(constB64)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB64)) | (~v185(constB64)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30947,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB64)) | (~v185(constB64)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30948,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB64)) | (~v185(constB64))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30947, 30946])).
% 26.00/17.75 tff(30949,plain,
% 26.00/17.75 (~v185(constB64)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30948, 24010, 669])).
% 26.00/17.75 tff(30950,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB64) | (~v184(constB64)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB64) | (~v184(constB64)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30951,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB64) | (~v184(constB64)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30952,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB64) | (~v184(constB64))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30951, 30950])).
% 26.00/17.75 tff(30953,plain,
% 26.00/17.75 (~v184(constB64)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30952, 24024, 30949])).
% 26.00/17.75 tff(30954,plain,
% 26.00/17.75 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB64) | (~v180(constB64)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB64) | (~v180(constB64)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.75 tff(30955,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB64) | (~v180(constB64)))),
% 26.00/17.75 inference(quant_inst,[status(thm)],[])).
% 26.00/17.75 tff(30956,plain,
% 26.00/17.75 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB64) | (~v180(constB64))),
% 26.00/17.75 inference(modus_ponens,[status(thm)],[30955, 30954])).
% 26.00/17.75 tff(30957,plain,
% 26.00/17.75 (~v180(constB64)),
% 26.00/17.75 inference(unit_resolution,[status(thm)],[30956, 23899, 30953])).
% 26.00/17.75 tff(30958,plain,
% 26.00/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB64, constB65)) | v180(constB64) | (~v182(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB64, constB65)) | v180(constB64) | (~v182(constB65)))),
% 26.00/17.75 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(30959,plain,
% 26.00/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB64, constB65)) | v180(constB64) | (~v182(constB65)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(30960,plain,
% 26.00/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB64, constB65)) | v180(constB64) | (~v182(constB65))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[30959, 30958])).
% 26.00/17.76 tff(30961,plain,
% 26.00/17.76 (v180(constB64) | (~v182(constB65))),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[30960, 23916, 10157])).
% 26.00/17.76 tff(30962,plain,
% 26.00/17.76 (~v182(constB65)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[30961, 30957])).
% 26.00/17.76 tff(30963,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB65) | (~v196(constB65)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB65) | (~v196(constB65)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(30964,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB65) | (~v196(constB65)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(30965,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB65) | (~v196(constB65))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[30964, 30963])).
% 26.00/17.76 tff(30966,plain,
% 26.00/17.76 (~v196(constB65)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[30965, 23931, 30962])).
% 26.00/17.76 tff(30967,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB65) | v196(constB65) | (~v190(constB65)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB65) | v196(constB65) | (~v190(constB65)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(30968,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB65) | v196(constB65) | (~v190(constB65)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(30969,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB65) | v196(constB65) | (~v190(constB65))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[30968, 30967])).
% 26.00/17.76 tff(30970,plain,
% 26.00/17.76 (v193(constB65) | (~v190(constB65))),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[30969, 24051, 30966])).
% 26.00/17.76 tff(30971,plain,
% 26.00/17.76 (~v190(constB65)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[30970, 30945])).
% 26.00/17.76 tff(30972,plain,
% 26.00/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB65, constB66)) | v190(constB65) | (~v192(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB65, constB66)) | v190(constB65) | (~v192(constB66)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(30973,plain,
% 26.00/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB65, constB66)) | v190(constB65) | (~v192(constB66)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(30974,plain,
% 26.00/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB65, constB66)) | v190(constB65) | (~v192(constB66))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[30973, 30972])).
% 26.00/17.76 tff(30975,plain,
% 26.00/17.76 (v190(constB65) | (~v192(constB66))),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[30974, 24066, 10252])).
% 26.00/17.76 tff(30976,plain,
% 26.00/17.76 (~v192(constB66)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[30975, 30971])).
% 26.00/17.76 tff(30977,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB66) | (~v193(constB66)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB66) | (~v193(constB66)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(30978,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB66) | (~v193(constB66)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(30979,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB66) | (~v193(constB66))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[30978, 30977])).
% 26.00/17.76 tff(30980,plain,
% 26.00/17.76 (~v193(constB66)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[30979, 24081, 30976])).
% 26.00/17.76 tff(30981,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB66) | v196(constB66) | (~v190(constB66)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB66) | v196(constB66) | (~v190(constB66)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(30982,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB66) | v196(constB66) | (~v190(constB66)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(30983,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB66) | v196(constB66) | (~v190(constB66))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[30982, 30981])).
% 26.00/17.76 tff(30984,plain,
% 26.00/17.76 (v196(constB66) | (~v190(constB66))),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[30983, 24051, 30980])).
% 26.00/17.76 tff(30985,plain,
% 26.00/17.76 (~v190(constB66)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[30984, 30910])).
% 26.00/17.76 tff(30986,plain,
% 26.00/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB66, constB67)) | v190(constB66) | (~v192(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB66, constB67)) | v190(constB66) | (~v192(constB67)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(30987,plain,
% 26.00/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB66, constB67)) | v190(constB66) | (~v192(constB67)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(30988,plain,
% 26.00/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB66, constB67)) | v190(constB66) | (~v192(constB67))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[30987, 30986])).
% 26.00/17.76 tff(30989,plain,
% 26.00/17.76 (v190(constB66) | (~v192(constB67))),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[30988, 24066, 10363])).
% 26.00/17.76 tff(30990,plain,
% 26.00/17.76 (~v192(constB67)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[30989, 30985])).
% 26.00/17.76 tff(30991,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB67) | (~v201(constB67)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB67) | (~v201(constB67)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(30992,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB67) | (~v201(constB67)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(30993,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB67) | (~v201(constB67))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[30992, 30991])).
% 26.00/17.76 tff(30994,plain,
% 26.00/17.76 (~v201(constB67)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[30993, 24108, 30990])).
% 26.00/17.76 tff(30995,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB66)) | (~v185(constB66)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB66)) | (~v185(constB66)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(30996,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB66)) | (~v185(constB66)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(30997,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB66)) | (~v185(constB66))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[30996, 30995])).
% 26.00/17.76 tff(30998,plain,
% 26.00/17.76 (~v185(constB66)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[30997, 24010, 306])).
% 26.00/17.76 tff(30999,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB66) | (~v184(constB66)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB66) | (~v184(constB66)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31000,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB66) | (~v184(constB66)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31001,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB66) | (~v184(constB66))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31000, 30999])).
% 26.00/17.76 tff(31002,plain,
% 26.00/17.76 (~v184(constB66)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31001, 24024, 30998])).
% 26.00/17.76 tff(31003,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB66) | (~v180(constB66)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB66) | (~v180(constB66)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31004,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB66) | (~v180(constB66)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31005,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB66) | (~v180(constB66))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31004, 31003])).
% 26.00/17.76 tff(31006,plain,
% 26.00/17.76 (~v180(constB66)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31005, 23899, 31002])).
% 26.00/17.76 tff(31007,plain,
% 26.00/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB66, constB67)) | v180(constB66) | (~v182(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB66, constB67)) | v180(constB66) | (~v182(constB67)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31008,plain,
% 26.00/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB66, constB67)) | v180(constB66) | (~v182(constB67)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31009,plain,
% 26.00/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB66, constB67)) | v180(constB66) | (~v182(constB67))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31008, 31007])).
% 26.00/17.76 tff(31010,plain,
% 26.00/17.76 (v180(constB66) | (~v182(constB67))),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31009, 23916, 10363])).
% 26.00/17.76 tff(31011,plain,
% 26.00/17.76 (~v182(constB67)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31010, 31006])).
% 26.00/17.76 tff(31012,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB67) | (~v205(constB67)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB67) | (~v205(constB67)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31013,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB67) | (~v205(constB67)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31014,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB67) | (~v205(constB67))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31013, 31012])).
% 26.00/17.76 tff(31015,plain,
% 26.00/17.76 (~v205(constB67)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31014, 24139, 31011])).
% 26.00/17.76 tff(31016,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB67) | v205(constB67) | (~v200(constB67)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB67) | v205(constB67) | (~v200(constB67)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31017,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB67) | v205(constB67) | (~v200(constB67)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31018,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB67) | v205(constB67) | (~v200(constB67))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31017, 31016])).
% 26.00/17.76 tff(31019,plain,
% 26.00/17.76 (v201(constB67) | (~v200(constB67))),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31018, 24153, 31015])).
% 26.00/17.76 tff(31020,plain,
% 26.00/17.76 (~v200(constB67)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31019, 30994])).
% 26.00/17.76 tff(31021,plain,
% 26.00/17.76 ($false),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31020, 30842])).
% 26.00/17.76 tff(31022,plain,(~(constB67 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.00/17.76 tff(31023,assumption,(constB61 = sK0_VarCurr), introduced(assumption)).
% 26.00/17.76 tff(31024,plain,
% 26.00/17.76 (v200(constB61) <=> v200(sK0_VarCurr)),
% 26.00/17.76 inference(monotonicity,[status(thm)],[31023])).
% 26.00/17.76 tff(31025,plain,
% 26.00/17.76 (v200(sK0_VarCurr) <=> v200(constB61)),
% 26.00/17.76 inference(symmetry,[status(thm)],[31024])).
% 26.00/17.76 tff(31026,plain,
% 26.00/17.76 (v200(constB61)),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[788, 31025])).
% 26.00/17.76 tff(31027,assumption,(v18(constB60)), introduced(assumption)).
% 26.00/17.76 tff(31028,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB60))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31029,plain,
% 26.00/17.76 ($false),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31028, 16985, 31027])).
% 26.00/17.76 tff(31030,plain,(~v18(constB60)), inference(lemma,lemma(discharge,[]))).
% 26.00/17.76 tff(31031,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB60) | (~v1(constB60)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB60) | (~v1(constB60)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31032,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB60) | (~v1(constB60)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31033,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB60) | (~v1(constB60))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31032, 31031])).
% 26.00/17.76 tff(31034,plain,
% 26.00/17.76 (v22(constB60)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31033, 16998, 647])).
% 26.00/17.76 tff(31035,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB60) | (~v22(constB60)) | (~v19(constB60)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB60) | (~v22(constB60)) | (~v19(constB60)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31036,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB60) | (~v22(constB60)) | (~v19(constB60)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31037,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB60) | (~v22(constB60)) | (~v19(constB60))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31036, 31035])).
% 26.00/17.76 tff(31038,plain,
% 26.00/17.76 (v18(constB60) | (~v19(constB60))),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31037, 17012, 31034])).
% 26.00/17.76 tff(31039,plain,
% 26.00/17.76 (~v19(constB60)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31038, 31030])).
% 26.00/17.76 tff(31040,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB60) | v19(constB60))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB60) | v19(constB60))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31041,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB60) | v19(constB60))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31042,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB60) | v19(constB60)),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31041, 31040])).
% 26.00/17.76 tff(31043,plain,
% 26.00/17.76 (v13(constB60)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31042, 17024, 31039])).
% 26.00/17.76 tff(31044,plain,
% 26.00/17.76 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB59) | (~v13(constB60)) | (~nextState(constB59, constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB59) | (~v13(constB60)) | (~nextState(constB59, constB60)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31045,plain,
% 26.00/17.76 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB59) | (~v13(constB60)) | (~nextState(constB59, constB60)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31046,plain,
% 26.00/17.76 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB59) | (~v13(constB60)) | (~nextState(constB59, constB60))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31045, 31044])).
% 26.00/17.76 tff(31047,plain,
% 26.00/17.76 (v9(constB59) | (~v13(constB60))),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31046, 17041, 9667])).
% 26.00/17.76 tff(31048,plain,
% 26.00/17.76 (v9(constB59)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31047, 31043])).
% 26.00/17.76 tff(31049,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB59) | (~v9(constB59)) | v185(constB59))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB59) | (~v9(constB59)) | v185(constB59))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31050,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB59) | (~v9(constB59)) | v185(constB59))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31051,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB59) | (~v9(constB59)) | v185(constB59)),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31050, 31049])).
% 26.00/17.76 tff(31052,plain,
% 26.00/17.76 ((~v9(constB59)) | v185(constB59)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31051, 23970, 9520])).
% 26.00/17.76 tff(31053,plain,
% 26.00/17.76 (v185(constB59)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31052, 31048])).
% 26.00/17.76 tff(31054,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (v195(constB59) | (~v185(constB59)))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB59) | (~v185(constB59)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31055,plain,
% 26.00/17.76 (((~v185(constB59)) | v195(constB59)) <=> (v195(constB59) | (~v185(constB59)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31056,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB59)) | v195(constB59))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (v195(constB59) | (~v185(constB59))))),
% 26.00/17.76 inference(monotonicity,[status(thm)],[31055])).
% 26.00/17.76 tff(31057,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB59)) | v195(constB59))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB59) | (~v185(constB59)))),
% 26.00/17.76 inference(transitivity,[status(thm)],[31056, 31054])).
% 26.00/17.76 tff(31058,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB59)) | v195(constB59))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31059,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB59) | (~v185(constB59))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31058, 31057])).
% 26.00/17.76 tff(31060,plain,
% 26.00/17.76 (v195(constB59)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31059, 23982, 31053])).
% 26.00/17.76 tff(31061,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB59)) | (~v195(constB59)))) <=> ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB59)) | (~v195(constB59)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31062,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB59)) | (~v195(constB59)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31063,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB59)) | (~v195(constB59))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31062, 31061])).
% 26.00/17.76 tff(31064,plain,
% 26.00/17.76 (~v193(constB59)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31063, 23996, 31060])).
% 26.00/17.76 tff(31065,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB58)) | (~v185(constB58)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB58)) | (~v185(constB58)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31066,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB58)) | (~v185(constB58)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31067,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB58)) | (~v185(constB58))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31066, 31065])).
% 26.00/17.76 tff(31068,plain,
% 26.00/17.76 (~v185(constB58)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31067, 24010, 9481])).
% 26.00/17.76 tff(31069,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB58) | (~v184(constB58)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB58) | (~v184(constB58)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31070,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB58) | (~v184(constB58)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31071,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB58) | (~v184(constB58))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31070, 31069])).
% 26.00/17.76 tff(31072,plain,
% 26.00/17.76 (~v184(constB58)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31071, 24024, 31068])).
% 26.00/17.76 tff(31073,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB58) | (~v180(constB58)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB58) | (~v180(constB58)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31074,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB58) | (~v180(constB58)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31075,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB58) | (~v180(constB58))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31074, 31073])).
% 26.00/17.76 tff(31076,plain,
% 26.00/17.76 (~v180(constB58)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31075, 23899, 31072])).
% 26.00/17.76 tff(31077,plain,
% 26.00/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB58, constB59)) | v180(constB58) | (~v182(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB58, constB59)) | v180(constB58) | (~v182(constB59)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31078,plain,
% 26.00/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB58, constB59)) | v180(constB58) | (~v182(constB59)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31079,plain,
% 26.00/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB58, constB59)) | v180(constB58) | (~v182(constB59))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31078, 31077])).
% 26.00/17.76 tff(31080,plain,
% 26.00/17.76 (v180(constB58) | (~v182(constB59))),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31079, 23916, 9523])).
% 26.00/17.76 tff(31081,plain,
% 26.00/17.76 (~v182(constB59)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31080, 31076])).
% 26.00/17.76 tff(31082,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB59) | (~v196(constB59)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB59) | (~v196(constB59)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31083,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB59) | (~v196(constB59)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31084,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB59) | (~v196(constB59))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31083, 31082])).
% 26.00/17.76 tff(31085,plain,
% 26.00/17.76 (~v196(constB59)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31084, 23931, 31081])).
% 26.00/17.76 tff(31086,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB59) | v196(constB59) | (~v190(constB59)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB59) | v196(constB59) | (~v190(constB59)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31087,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB59) | v196(constB59) | (~v190(constB59)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31088,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB59) | v196(constB59) | (~v190(constB59))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31087, 31086])).
% 26.00/17.76 tff(31089,plain,
% 26.00/17.76 (v193(constB59) | (~v190(constB59))),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31088, 24051, 31085])).
% 26.00/17.76 tff(31090,plain,
% 26.00/17.76 (~v190(constB59)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31089, 31064])).
% 26.00/17.76 tff(31091,plain,
% 26.00/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB59, constB60)) | v190(constB59) | (~v192(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB59, constB60)) | v190(constB59) | (~v192(constB60)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31092,plain,
% 26.00/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB59, constB60)) | v190(constB59) | (~v192(constB60)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31093,plain,
% 26.00/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB59, constB60)) | v190(constB59) | (~v192(constB60))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31092, 31091])).
% 26.00/17.76 tff(31094,plain,
% 26.00/17.76 (v190(constB59) | (~v192(constB60))),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31093, 24066, 9667])).
% 26.00/17.76 tff(31095,plain,
% 26.00/17.76 (~v192(constB60)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31094, 31090])).
% 26.00/17.76 tff(31096,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB60) | (~v193(constB60)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB60) | (~v193(constB60)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31097,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB60) | (~v193(constB60)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31098,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB60) | (~v193(constB60))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31097, 31096])).
% 26.00/17.76 tff(31099,plain,
% 26.00/17.76 (~v193(constB60)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31098, 24081, 31095])).
% 26.00/17.76 tff(31100,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB59, bitIndex2)) | v90(constB59, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB59, bitIndex2)) | v90(constB59, bitIndex2))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31101,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB59, bitIndex2)) | v90(constB59, bitIndex2))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31102,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB59, bitIndex2)) | v90(constB59, bitIndex2)),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31101, 31100])).
% 26.00/17.76 tff(31103,plain,
% 26.00/17.76 (~v88(constB59, bitIndex2)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31102, 28577, 9544])).
% 26.00/17.76 tff(31104,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB59, bitIndex0)) | v90(constB59, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB59, bitIndex0)) | v90(constB59, bitIndex0))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31105,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB59, bitIndex0)) | v90(constB59, bitIndex0))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31106,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB59, bitIndex0)) | v90(constB59, bitIndex0)),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31105, 31104])).
% 26.00/17.76 tff(31107,plain,
% 26.00/17.76 (~v88(constB59, bitIndex0)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31106, 23809, 9609])).
% 26.00/17.76 tff(31108,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB59, bitIndex1)) | v88(constB59, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB59, bitIndex1)) | v88(constB59, bitIndex1))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31109,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB59, bitIndex1)) | v88(constB59, bitIndex1))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31110,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB59, bitIndex1)) | v88(constB59, bitIndex1)),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31109, 31108])).
% 26.00/17.76 tff(31111,plain,
% 26.00/17.76 (v88(constB59, bitIndex1)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31110, 28592, 9575])).
% 26.00/17.76 tff(31112,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB59, bitIndex2) | v88(constB59, bitIndex0) | (~v88(constB59, bitIndex1)) | v143(constB59))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB59, bitIndex2) | v88(constB59, bitIndex0) | (~v88(constB59, bitIndex1)) | v143(constB59))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31113,plain,
% 26.00/17.76 ((v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v88(constB59, bitIndex0) | v143(constB59)) <=> (v88(constB59, bitIndex2) | v88(constB59, bitIndex0) | (~v88(constB59, bitIndex1)) | v143(constB59))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31114,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v88(constB59, bitIndex0) | v143(constB59))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB59, bitIndex2) | v88(constB59, bitIndex0) | (~v88(constB59, bitIndex1)) | v143(constB59)))),
% 26.00/17.76 inference(monotonicity,[status(thm)],[31113])).
% 26.00/17.76 tff(31115,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v88(constB59, bitIndex0) | v143(constB59))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB59, bitIndex2) | v88(constB59, bitIndex0) | (~v88(constB59, bitIndex1)) | v143(constB59))),
% 26.00/17.76 inference(transitivity,[status(thm)],[31114, 31112])).
% 26.00/17.76 tff(31116,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v88(constB59, bitIndex0) | v143(constB59))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31117,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB59, bitIndex2) | v88(constB59, bitIndex0) | (~v88(constB59, bitIndex1)) | v143(constB59)),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31116, 31115])).
% 26.00/17.76 tff(31118,plain,
% 26.00/17.76 (v143(constB59)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31117, 28606, 31111, 31107, 31103])).
% 26.00/17.76 tff(31119,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB59) | (~v143(constB59)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB59) | (~v143(constB59)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31120,plain,
% 26.00/17.76 (((~v143(constB59)) | v142(constB59)) <=> (v142(constB59) | (~v143(constB59)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31121,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB59)) | v142(constB59))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB59) | (~v143(constB59))))),
% 26.00/17.76 inference(monotonicity,[status(thm)],[31120])).
% 26.00/17.76 tff(31122,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB59)) | v142(constB59))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB59) | (~v143(constB59)))),
% 26.00/17.76 inference(transitivity,[status(thm)],[31121, 31119])).
% 26.00/17.76 tff(31123,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB59)) | v142(constB59))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31124,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB59) | (~v143(constB59))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31123, 31122])).
% 26.00/17.76 tff(31125,plain,
% 26.00/17.76 (v142(constB59)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31124, 28620, 31118])).
% 26.00/17.76 tff(31126,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB59)) | v167(constB59))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB59)) | v167(constB59))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31127,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB59)) | v167(constB59))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31128,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB59)) | v167(constB59)),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31127, 31126])).
% 26.00/17.76 tff(31129,plain,
% 26.00/17.76 (v167(constB59)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31128, 28631, 31125])).
% 26.00/17.76 tff(31130,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB59) | (~v167(constB59)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB59) | (~v167(constB59)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31131,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB59) | (~v167(constB59)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31132,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB59) | (~v167(constB59))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31131, 31130])).
% 26.00/17.76 tff(31133,plain,
% 26.00/17.76 (v166(constB59)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31132, 28645, 31129])).
% 26.00/17.76 tff(31134,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v139(constB59)) | (~v88(constB59, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v139(constB59)) | (~v88(constB59, bitIndex1)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31135,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v139(constB59)) | (~v88(constB59, bitIndex1)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31136,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v139(constB59)) | (~v88(constB59, bitIndex1))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31135, 31134])).
% 26.00/17.76 tff(31137,plain,
% 26.00/17.76 (~v139(constB59)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31136, 28656, 31111])).
% 26.00/17.76 tff(31138,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB59)) | (~v88(constB59, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB59)) | (~v88(constB59, bitIndex1)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31139,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB59)) | (~v88(constB59, bitIndex1)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31140,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB59)) | (~v88(constB59, bitIndex1))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31139, 31138])).
% 26.00/17.76 tff(31141,plain,
% 26.00/17.76 (~v140(constB59)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31140, 28667, 31111])).
% 26.00/17.76 tff(31142,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB59) | v140(constB59) | (~v170(constB59)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB59) | v140(constB59) | (~v170(constB59)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31143,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB59) | v140(constB59) | (~v170(constB59)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31144,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB59) | v140(constB59) | (~v170(constB59))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31143, 31142])).
% 26.00/17.76 tff(31145,plain,
% 26.00/17.76 (~v170(constB59)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31144, 23719, 31141, 31137])).
% 26.00/17.76 tff(31146,plain,
% 26.00/17.76 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB59)) | v170(constB59) | (~v166(constB59)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB59)) | v170(constB59) | (~v166(constB59)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31147,plain,
% 26.00/17.76 (((~v166(constB59)) | v170(constB59) | (~v163(constB59))) <=> ((~v163(constB59)) | v170(constB59) | (~v166(constB59)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31148,plain,
% 26.00/17.76 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB59)) | v170(constB59) | (~v163(constB59)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB59)) | v170(constB59) | (~v166(constB59))))),
% 26.00/17.76 inference(monotonicity,[status(thm)],[31147])).
% 26.00/17.76 tff(31149,plain,
% 26.00/17.76 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB59)) | v170(constB59) | (~v163(constB59)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB59)) | v170(constB59) | (~v166(constB59)))),
% 26.00/17.76 inference(transitivity,[status(thm)],[31148, 31146])).
% 26.00/17.76 tff(31150,plain,
% 26.00/17.76 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB59)) | v170(constB59) | (~v163(constB59)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31151,plain,
% 26.00/17.76 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB59)) | v170(constB59) | (~v166(constB59))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31150, 31149])).
% 26.00/17.76 tff(31152,plain,
% 26.00/17.76 ((~v163(constB59)) | (~v166(constB59))),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31151, 23868, 31145])).
% 26.00/17.76 tff(31153,plain,
% 26.00/17.76 (~v163(constB59)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31152, 31133])).
% 26.00/17.76 tff(31154,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB59) | (~v184(constB59)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB59) | (~v184(constB59)))),
% 26.00/17.76 inference(rewrite,[status(thm)],[])).
% 26.00/17.76 tff(31155,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB59) | (~v184(constB59)))),
% 26.00/17.76 inference(quant_inst,[status(thm)],[])).
% 26.00/17.76 tff(31156,plain,
% 26.00/17.76 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB59) | (~v184(constB59))),
% 26.00/17.76 inference(modus_ponens,[status(thm)],[31155, 31154])).
% 26.00/17.76 tff(31157,plain,
% 26.00/17.76 (~v184(constB59)),
% 26.00/17.76 inference(unit_resolution,[status(thm)],[31156, 23885, 31153])).
% 26.00/17.76 tff(31158,plain,
% 26.00/17.76 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB59) | (~v180(constB59)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB59) | (~v180(constB59)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31159,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB59) | (~v180(constB59)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31160,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB59) | (~v180(constB59))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31159, 31158])).
% 26.00/17.77 tff(31161,plain,
% 26.00/17.77 (~v180(constB59)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31160, 23899, 31157])).
% 26.00/17.77 tff(31162,plain,
% 26.00/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB59, constB60)) | v180(constB59) | (~v182(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB59, constB60)) | v180(constB59) | (~v182(constB60)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31163,plain,
% 26.00/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB59, constB60)) | v180(constB59) | (~v182(constB60)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31164,plain,
% 26.00/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB59, constB60)) | v180(constB59) | (~v182(constB60))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31163, 31162])).
% 26.00/17.77 tff(31165,plain,
% 26.00/17.77 (v180(constB59) | (~v182(constB60))),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31164, 23916, 9667])).
% 26.00/17.77 tff(31166,plain,
% 26.00/17.77 (~v182(constB60)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31165, 31161])).
% 26.00/17.77 tff(31167,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB60) | (~v196(constB60)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB60) | (~v196(constB60)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31168,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB60) | (~v196(constB60)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31169,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB60) | (~v196(constB60))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31168, 31167])).
% 26.00/17.77 tff(31170,plain,
% 26.00/17.77 (~v196(constB60)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31169, 23931, 31166])).
% 26.00/17.77 tff(31171,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB60) | v196(constB60) | (~v190(constB60)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB60) | v196(constB60) | (~v190(constB60)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31172,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB60) | v196(constB60) | (~v190(constB60)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31173,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB60) | v196(constB60) | (~v190(constB60))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31172, 31171])).
% 26.00/17.77 tff(31174,plain,
% 26.00/17.77 (v193(constB60) | (~v190(constB60))),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31173, 24051, 31170])).
% 26.00/17.77 tff(31175,plain,
% 26.00/17.77 (~v190(constB60)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31174, 31099])).
% 26.00/17.77 tff(31176,plain,
% 26.00/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB60, constB61)) | v190(constB60) | (~v192(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB60, constB61)) | v190(constB60) | (~v192(constB61)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31177,plain,
% 26.00/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB60, constB61)) | v190(constB60) | (~v192(constB61)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31178,plain,
% 26.00/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB60, constB61)) | v190(constB60) | (~v192(constB61))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31177, 31176])).
% 26.00/17.77 tff(31179,plain,
% 26.00/17.77 (v190(constB60) | (~v192(constB61))),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31178, 24066, 9726])).
% 26.00/17.77 tff(31180,plain,
% 26.00/17.77 (~v192(constB61)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31179, 31175])).
% 26.00/17.77 tff(31181,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB61) | (~v201(constB61)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB61) | (~v201(constB61)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31182,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB61) | (~v201(constB61)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31183,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB61) | (~v201(constB61))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31182, 31181])).
% 26.00/17.77 tff(31184,plain,
% 26.00/17.77 (~v201(constB61)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31183, 24108, 31180])).
% 26.00/17.77 tff(31185,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB60)) | (~v185(constB60)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB60)) | (~v185(constB60)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31186,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB60)) | (~v185(constB60)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31187,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB60)) | (~v185(constB60))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31186, 31185])).
% 26.00/17.77 tff(31188,plain,
% 26.00/17.77 (~v185(constB60)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31187, 24010, 647])).
% 26.00/17.77 tff(31189,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB60) | (~v184(constB60)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB60) | (~v184(constB60)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31190,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB60) | (~v184(constB60)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31191,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB60) | (~v184(constB60))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31190, 31189])).
% 26.00/17.77 tff(31192,plain,
% 26.00/17.77 (~v184(constB60)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31191, 24024, 31188])).
% 26.00/17.77 tff(31193,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB60) | (~v180(constB60)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB60) | (~v180(constB60)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31194,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB60) | (~v180(constB60)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31195,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB60) | (~v180(constB60))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31194, 31193])).
% 26.00/17.77 tff(31196,plain,
% 26.00/17.77 (~v180(constB60)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31195, 23899, 31192])).
% 26.00/17.77 tff(31197,plain,
% 26.00/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB60, constB61)) | v180(constB60) | (~v182(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB60, constB61)) | v180(constB60) | (~v182(constB61)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31198,plain,
% 26.00/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB60, constB61)) | v180(constB60) | (~v182(constB61)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31199,plain,
% 26.00/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB60, constB61)) | v180(constB60) | (~v182(constB61))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31198, 31197])).
% 26.00/17.77 tff(31200,plain,
% 26.00/17.77 (v180(constB60) | (~v182(constB61))),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31199, 23916, 9726])).
% 26.00/17.77 tff(31201,plain,
% 26.00/17.77 (~v182(constB61)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31200, 31196])).
% 26.00/17.77 tff(31202,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB61) | (~v205(constB61)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB61) | (~v205(constB61)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31203,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB61) | (~v205(constB61)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31204,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB61) | (~v205(constB61))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31203, 31202])).
% 26.00/17.77 tff(31205,plain,
% 26.00/17.77 (~v205(constB61)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31204, 24139, 31201])).
% 26.00/17.77 tff(31206,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB61) | v205(constB61) | (~v200(constB61)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB61) | v205(constB61) | (~v200(constB61)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31207,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB61) | v205(constB61) | (~v200(constB61)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31208,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB61) | v205(constB61) | (~v200(constB61))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31207, 31206])).
% 26.00/17.77 tff(31209,plain,
% 26.00/17.77 (v201(constB61) | (~v200(constB61))),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31208, 24153, 31205])).
% 26.00/17.77 tff(31210,plain,
% 26.00/17.77 (~v200(constB61)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31209, 31184])).
% 26.00/17.77 tff(31211,plain,
% 26.00/17.77 ($false),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31210, 31026])).
% 26.00/17.77 tff(31212,plain,(~(constB61 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.00/17.77 tff(31213,assumption,(constB137 = sK0_VarCurr), introduced(assumption)).
% 26.00/17.77 tff(31214,plain,
% 26.00/17.77 (v200(constB137) <=> v200(sK0_VarCurr)),
% 26.00/17.77 inference(monotonicity,[status(thm)],[31213])).
% 26.00/17.77 tff(31215,plain,
% 26.00/17.77 (v200(sK0_VarCurr) <=> v200(constB137)),
% 26.00/17.77 inference(symmetry,[status(thm)],[31214])).
% 26.00/17.77 tff(31216,plain,
% 26.00/17.77 (v200(constB137)),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[788, 31215])).
% 26.00/17.77 tff(31217,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB135, bitIndex0)) | v90(constB135, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB135, bitIndex0)) | v90(constB135, bitIndex0))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31218,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB135, bitIndex0)) | v90(constB135, bitIndex0))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31219,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB135, bitIndex0)) | v90(constB135, bitIndex0)),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31218, 31217])).
% 26.00/17.77 tff(31220,plain,
% 26.00/17.77 (~v88(constB135, bitIndex0)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31219, 23809, 21556])).
% 26.00/17.77 tff(31221,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex2)) | v88(constB135, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB135, bitIndex2)) | v88(constB135, bitIndex2))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31222,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex2)) | v88(constB135, bitIndex2))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31223,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB135, bitIndex2)) | v88(constB135, bitIndex2)),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31222, 31221])).
% 26.00/17.77 tff(31224,plain,
% 26.00/17.77 (v88(constB135, bitIndex2)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31223, 23683, 21491])).
% 26.00/17.77 tff(31225,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB135, bitIndex1)) | v88(constB135, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB135, bitIndex1)) | v88(constB135, bitIndex1))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31226,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB135, bitIndex1)) | v88(constB135, bitIndex1))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31227,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB135, bitIndex1)) | v88(constB135, bitIndex1)),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31226, 31225])).
% 26.00/17.77 tff(31228,plain,
% 26.00/17.77 (v88(constB135, bitIndex1)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31227, 28592, 21522])).
% 26.00/17.77 tff(31229,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB135, bitIndex2)) | v144(constB135) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB135, bitIndex2)) | v144(constB135) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31230,plain,
% 26.00/17.77 (((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0) | v144(constB135)) <=> ((~v88(constB135, bitIndex2)) | v144(constB135) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31231,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0) | v144(constB135))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB135, bitIndex2)) | v144(constB135) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0)))),
% 26.00/17.77 inference(monotonicity,[status(thm)],[31230])).
% 26.00/17.77 tff(31232,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0) | v144(constB135))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB135, bitIndex2)) | v144(constB135) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0))),
% 26.00/17.77 inference(transitivity,[status(thm)],[31231, 31229])).
% 26.00/17.77 tff(31233,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0) | v144(constB135))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31234,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB135, bitIndex2)) | v144(constB135) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0)),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31233, 31232])).
% 26.00/17.77 tff(31235,plain,
% 26.00/17.77 (v144(constB135)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31234, 30257, 31228, 31224, 31220])).
% 26.00/17.77 tff(31236,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB135)) | v142(constB135))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB135)) | v142(constB135))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31237,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB135)) | v142(constB135))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31238,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB135)) | v142(constB135)),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31237, 31236])).
% 26.00/17.77 tff(31239,plain,
% 26.00/17.77 (v142(constB135)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31238, 30271, 31235])).
% 26.00/17.77 tff(31240,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB135)) | v167(constB135))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB135)) | v167(constB135))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31241,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB135)) | v167(constB135))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31242,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB135)) | v167(constB135)),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31241, 31240])).
% 26.00/17.77 tff(31243,plain,
% 26.00/17.77 (v167(constB135)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31242, 28631, 31239])).
% 26.00/17.77 tff(31244,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB135) | (~v167(constB135)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB135) | (~v167(constB135)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31245,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB135) | (~v167(constB135)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31246,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB135) | (~v167(constB135))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31245, 31244])).
% 26.00/17.77 tff(31247,plain,
% 26.00/17.77 (v166(constB135)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31246, 28645, 31243])).
% 26.00/17.77 tff(31248,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v139(constB135)) | (~v88(constB135, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v139(constB135)) | (~v88(constB135, bitIndex1)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31249,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v139(constB135)) | (~v88(constB135, bitIndex1)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31250,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v139(constB135)) | (~v88(constB135, bitIndex1))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31249, 31248])).
% 26.00/17.77 tff(31251,plain,
% 26.00/17.77 (~v139(constB135)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31250, 28656, 31228])).
% 26.00/17.77 tff(31252,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB135)) | (~v88(constB135, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB135)) | (~v88(constB135, bitIndex1)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31253,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB135)) | (~v88(constB135, bitIndex1)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31254,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB135)) | (~v88(constB135, bitIndex1))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31253, 31252])).
% 26.00/17.77 tff(31255,plain,
% 26.00/17.77 (~v140(constB135)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31254, 28667, 31228])).
% 26.00/17.77 tff(31256,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB135) | v140(constB135) | (~v170(constB135)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB135) | v140(constB135) | (~v170(constB135)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31257,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB135) | v140(constB135) | (~v170(constB135)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31258,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB135) | v140(constB135) | (~v170(constB135))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31257, 31256])).
% 26.00/17.77 tff(31259,plain,
% 26.00/17.77 (~v170(constB135)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31258, 23719, 31255, 31251])).
% 26.00/17.77 tff(31260,plain,
% 26.00/17.77 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB135)) | (~v166(constB135)) | v170(constB135))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB135)) | (~v166(constB135)) | v170(constB135))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31261,plain,
% 26.00/17.77 (((~v166(constB135)) | v170(constB135) | (~v163(constB135))) <=> ((~v163(constB135)) | (~v166(constB135)) | v170(constB135))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31262,plain,
% 26.00/17.77 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB135)) | v170(constB135) | (~v163(constB135)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB135)) | (~v166(constB135)) | v170(constB135)))),
% 26.00/17.77 inference(monotonicity,[status(thm)],[31261])).
% 26.00/17.77 tff(31263,plain,
% 26.00/17.77 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB135)) | v170(constB135) | (~v163(constB135)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB135)) | (~v166(constB135)) | v170(constB135))),
% 26.00/17.77 inference(transitivity,[status(thm)],[31262, 31260])).
% 26.00/17.77 tff(31264,plain,
% 26.00/17.77 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB135)) | v170(constB135) | (~v163(constB135)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31265,plain,
% 26.00/17.77 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB135)) | (~v166(constB135)) | v170(constB135)),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31264, 31263])).
% 26.00/17.77 tff(31266,plain,
% 26.00/17.77 ((~v163(constB135)) | (~v166(constB135))),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31265, 23868, 31259])).
% 26.00/17.77 tff(31267,plain,
% 26.00/17.77 (~v163(constB135)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31266, 31247])).
% 26.00/17.77 tff(31268,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB135) | (~v184(constB135)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB135) | (~v184(constB135)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31269,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB135) | (~v184(constB135)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31270,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB135) | (~v184(constB135))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31269, 31268])).
% 26.00/17.77 tff(31271,plain,
% 26.00/17.77 (~v184(constB135)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31270, 23885, 31267])).
% 26.00/17.77 tff(31272,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB135) | (~v180(constB135)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB135) | (~v180(constB135)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31273,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB135) | (~v180(constB135)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31274,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB135) | (~v180(constB135))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31273, 31272])).
% 26.00/17.77 tff(31275,plain,
% 26.00/17.77 (~v180(constB135)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31274, 23899, 31271])).
% 26.00/17.77 tff(31276,plain,
% 26.00/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB135, constB136)) | v180(constB135) | (~v182(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB135, constB136)) | v180(constB135) | (~v182(constB136)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31277,plain,
% 26.00/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB135, constB136)) | v180(constB135) | (~v182(constB136)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31278,plain,
% 26.00/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB135, constB136)) | v180(constB135) | (~v182(constB136))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31277, 31276])).
% 26.00/17.77 tff(31279,plain,
% 26.00/17.77 (v180(constB135) | (~v182(constB136))),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31278, 23916, 21583])).
% 26.00/17.77 tff(31280,plain,
% 26.00/17.77 (~v182(constB136)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31279, 31275])).
% 26.00/17.77 tff(31281,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB136) | (~v196(constB136)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB136) | (~v196(constB136)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31282,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB136) | (~v196(constB136)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31283,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB136) | (~v196(constB136))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31282, 31281])).
% 26.00/17.77 tff(31284,plain,
% 26.00/17.77 (~v196(constB136)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31283, 23931, 31280])).
% 26.00/17.77 tff(31285,assumption,(v18(constB136)), introduced(assumption)).
% 26.00/17.77 tff(31286,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB136))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31287,plain,
% 26.00/17.77 ($false),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31286, 16985, 31285])).
% 26.00/17.77 tff(31288,plain,(~v18(constB136)), inference(lemma,lemma(discharge,[]))).
% 26.00/17.77 tff(31289,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB136) | (~v1(constB136)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB136) | (~v1(constB136)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31290,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB136) | (~v1(constB136)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31291,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB136) | (~v1(constB136))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31290, 31289])).
% 26.00/17.77 tff(31292,plain,
% 26.00/17.77 (v22(constB136)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31291, 16998, 405])).
% 26.00/17.77 tff(31293,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB136) | (~v22(constB136)) | (~v19(constB136)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB136) | (~v22(constB136)) | (~v19(constB136)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31294,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB136) | (~v22(constB136)) | (~v19(constB136)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31295,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB136) | (~v22(constB136)) | (~v19(constB136))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31294, 31293])).
% 26.00/17.77 tff(31296,plain,
% 26.00/17.77 (v18(constB136) | (~v19(constB136))),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31295, 17012, 31292])).
% 26.00/17.77 tff(31297,plain,
% 26.00/17.77 (~v19(constB136)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31296, 31288])).
% 26.00/17.77 tff(31298,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB136) | v19(constB136))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB136) | v19(constB136))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31299,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB136) | v19(constB136))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31300,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB136) | v19(constB136)),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31299, 31298])).
% 26.00/17.77 tff(31301,plain,
% 26.00/17.77 (v13(constB136)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31300, 17024, 31297])).
% 26.00/17.77 tff(31302,plain,
% 26.00/17.77 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB135) | (~v13(constB136)) | (~nextState(constB135, constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB135) | (~v13(constB136)) | (~nextState(constB135, constB136)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31303,plain,
% 26.00/17.77 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB135) | (~v13(constB136)) | (~nextState(constB135, constB136)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31304,plain,
% 26.00/17.77 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB135) | (~v13(constB136)) | (~nextState(constB135, constB136))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31303, 31302])).
% 26.00/17.77 tff(31305,plain,
% 26.00/17.77 (v9(constB135) | (~v13(constB136))),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31304, 17041, 21583])).
% 26.00/17.77 tff(31306,plain,
% 26.00/17.77 (v9(constB135)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31305, 31301])).
% 26.00/17.77 tff(31307,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB135) | (~v9(constB135)) | v185(constB135))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB135) | (~v9(constB135)) | v185(constB135))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31308,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB135) | (~v9(constB135)) | v185(constB135))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31309,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB135) | (~v9(constB135)) | v185(constB135)),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31308, 31307])).
% 26.00/17.77 tff(31310,plain,
% 26.00/17.77 ((~v9(constB135)) | v185(constB135)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31309, 23970, 21467])).
% 26.00/17.77 tff(31311,plain,
% 26.00/17.77 (v185(constB135)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31310, 31306])).
% 26.00/17.77 tff(31312,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB135)) | v195(constB135))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (~v185(constB135)) | v195(constB135))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31313,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB135)) | v195(constB135))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31314,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (~v185(constB135)) | v195(constB135)),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31313, 31312])).
% 26.00/17.77 tff(31315,plain,
% 26.00/17.77 (v195(constB135)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31314, 23982, 31311])).
% 26.00/17.77 tff(31316,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB135)) | (~v195(constB135)))) <=> ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB135)) | (~v195(constB135)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31317,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB135)) | (~v195(constB135)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31318,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB135)) | (~v195(constB135))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31317, 31316])).
% 26.00/17.77 tff(31319,plain,
% 26.00/17.77 (~v193(constB135)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31318, 23996, 31315])).
% 26.00/17.77 tff(31320,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB134)) | (~v185(constB134)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB134)) | (~v185(constB134)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31321,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB134)) | (~v185(constB134)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31322,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB134)) | (~v185(constB134))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31321, 31320])).
% 26.00/17.77 tff(31323,plain,
% 26.00/17.77 (~v185(constB134)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31322, 24010, 559])).
% 26.00/17.77 tff(31324,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB134) | (~v184(constB134)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB134) | (~v184(constB134)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31325,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB134) | (~v184(constB134)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31326,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB134) | (~v184(constB134))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31325, 31324])).
% 26.00/17.77 tff(31327,plain,
% 26.00/17.77 (~v184(constB134)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31326, 24024, 31323])).
% 26.00/17.77 tff(31328,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB134) | (~v180(constB134)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB134) | (~v180(constB134)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31329,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB134) | (~v180(constB134)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31330,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB134) | (~v180(constB134))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31329, 31328])).
% 26.00/17.77 tff(31331,plain,
% 26.00/17.77 (~v180(constB134)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31330, 23899, 31327])).
% 26.00/17.77 tff(31332,plain,
% 26.00/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB134, constB135)) | v180(constB134) | (~v182(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB134, constB135)) | v180(constB134) | (~v182(constB135)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31333,plain,
% 26.00/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB134, constB135)) | v180(constB134) | (~v182(constB135)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31334,plain,
% 26.00/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB134, constB135)) | v180(constB134) | (~v182(constB135))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31333, 31332])).
% 26.00/17.77 tff(31335,plain,
% 26.00/17.77 (v180(constB134) | (~v182(constB135))),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31334, 23916, 21470])).
% 26.00/17.77 tff(31336,plain,
% 26.00/17.77 (~v182(constB135)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31335, 31331])).
% 26.00/17.77 tff(31337,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB135) | (~v196(constB135)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB135) | (~v196(constB135)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31338,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB135) | (~v196(constB135)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31339,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB135) | (~v196(constB135))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31338, 31337])).
% 26.00/17.77 tff(31340,plain,
% 26.00/17.77 (~v196(constB135)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31339, 23931, 31336])).
% 26.00/17.77 tff(31341,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB135) | v196(constB135) | (~v190(constB135)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB135) | v196(constB135) | (~v190(constB135)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31342,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB135) | v196(constB135) | (~v190(constB135)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31343,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB135) | v196(constB135) | (~v190(constB135))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31342, 31341])).
% 26.00/17.77 tff(31344,plain,
% 26.00/17.77 (v193(constB135) | (~v190(constB135))),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31343, 24051, 31340])).
% 26.00/17.77 tff(31345,plain,
% 26.00/17.77 (~v190(constB135)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31344, 31319])).
% 26.00/17.77 tff(31346,plain,
% 26.00/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB135, constB136)) | v190(constB135) | (~v192(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB135, constB136)) | v190(constB135) | (~v192(constB136)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31347,plain,
% 26.00/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB135, constB136)) | v190(constB135) | (~v192(constB136)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31348,plain,
% 26.00/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB135, constB136)) | v190(constB135) | (~v192(constB136))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31347, 31346])).
% 26.00/17.77 tff(31349,plain,
% 26.00/17.77 (v190(constB135) | (~v192(constB136))),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31348, 24066, 21583])).
% 26.00/17.77 tff(31350,plain,
% 26.00/17.77 (~v192(constB136)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31349, 31345])).
% 26.00/17.77 tff(31351,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB136) | (~v193(constB136)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB136) | (~v193(constB136)))),
% 26.00/17.77 inference(rewrite,[status(thm)],[])).
% 26.00/17.77 tff(31352,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB136) | (~v193(constB136)))),
% 26.00/17.77 inference(quant_inst,[status(thm)],[])).
% 26.00/17.77 tff(31353,plain,
% 26.00/17.77 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB136) | (~v193(constB136))),
% 26.00/17.77 inference(modus_ponens,[status(thm)],[31352, 31351])).
% 26.00/17.77 tff(31354,plain,
% 26.00/17.77 (~v193(constB136)),
% 26.00/17.77 inference(unit_resolution,[status(thm)],[31353, 24081, 31350])).
% 26.00/17.77 tff(31355,plain,
% 26.00/17.77 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB136) | v196(constB136) | (~v190(constB136)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB136) | v196(constB136) | (~v190(constB136)))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31356,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB136) | v196(constB136) | (~v190(constB136)))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31357,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB136) | v196(constB136) | (~v190(constB136))),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31356, 31355])).
% 26.00/17.78 tff(31358,plain,
% 26.00/17.78 (v196(constB136) | (~v190(constB136))),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31357, 24051, 31354])).
% 26.00/17.78 tff(31359,plain,
% 26.00/17.78 (~v190(constB136)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31358, 31284])).
% 26.00/17.78 tff(31360,plain,
% 26.00/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB136, constB137)) | v190(constB136) | (~v192(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB136, constB137)) | v190(constB136) | (~v192(constB137)))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31361,plain,
% 26.00/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB136, constB137)) | v190(constB136) | (~v192(constB137)))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31362,plain,
% 26.00/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB136, constB137)) | v190(constB136) | (~v192(constB137))),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31361, 31360])).
% 26.00/17.78 tff(31363,plain,
% 26.00/17.78 (v190(constB136) | (~v192(constB137))),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31362, 24066, 21666])).
% 26.00/17.78 tff(31364,plain,
% 26.00/17.78 (~v192(constB137)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31363, 31359])).
% 26.00/17.78 tff(31365,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB137) | (~v201(constB137)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB137) | (~v201(constB137)))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31366,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB137) | (~v201(constB137)))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31367,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB137) | (~v201(constB137))),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31366, 31365])).
% 26.00/17.78 tff(31368,plain,
% 26.00/17.78 (~v201(constB137)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31367, 24108, 31364])).
% 26.00/17.78 tff(31369,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB136)) | (~v185(constB136)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB136)) | (~v185(constB136)))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31370,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB136)) | (~v185(constB136)))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31371,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB136)) | (~v185(constB136))),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31370, 31369])).
% 26.00/17.78 tff(31372,plain,
% 26.00/17.78 (~v185(constB136)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31371, 24010, 405])).
% 26.00/17.78 tff(31373,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB136) | (~v184(constB136)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB136) | (~v184(constB136)))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31374,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB136) | (~v184(constB136)))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31375,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB136) | (~v184(constB136))),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31374, 31373])).
% 26.00/17.78 tff(31376,plain,
% 26.00/17.78 (~v184(constB136)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31375, 24024, 31372])).
% 26.00/17.78 tff(31377,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB136) | (~v180(constB136)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB136) | (~v180(constB136)))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31378,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB136) | (~v180(constB136)))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31379,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB136) | (~v180(constB136))),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31378, 31377])).
% 26.00/17.78 tff(31380,plain,
% 26.00/17.78 (~v180(constB136)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31379, 23899, 31376])).
% 26.00/17.78 tff(31381,plain,
% 26.00/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB136, constB137)) | v180(constB136) | (~v182(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB136, constB137)) | v180(constB136) | (~v182(constB137)))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31382,plain,
% 26.00/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB136, constB137)) | v180(constB136) | (~v182(constB137)))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31383,plain,
% 26.00/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB136, constB137)) | v180(constB136) | (~v182(constB137))),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31382, 31381])).
% 26.00/17.78 tff(31384,plain,
% 26.00/17.78 (v180(constB136) | (~v182(constB137))),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31383, 23916, 21666])).
% 26.00/17.78 tff(31385,plain,
% 26.00/17.78 (~v182(constB137)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31384, 31380])).
% 26.00/17.78 tff(31386,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB137) | (~v205(constB137)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB137) | (~v205(constB137)))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31387,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB137) | (~v205(constB137)))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31388,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB137) | (~v205(constB137))),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31387, 31386])).
% 26.00/17.78 tff(31389,plain,
% 26.00/17.78 (~v205(constB137)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31388, 24139, 31385])).
% 26.00/17.78 tff(31390,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB137) | v205(constB137) | (~v200(constB137)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB137) | v205(constB137) | (~v200(constB137)))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31391,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB137) | v205(constB137) | (~v200(constB137)))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31392,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB137) | v205(constB137) | (~v200(constB137))),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31391, 31390])).
% 26.00/17.78 tff(31393,plain,
% 26.00/17.78 (v201(constB137) | (~v200(constB137))),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31392, 24153, 31389])).
% 26.00/17.78 tff(31394,plain,
% 26.00/17.78 (~v200(constB137)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31393, 31368])).
% 26.00/17.78 tff(31395,plain,
% 26.00/17.78 ($false),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31394, 31216])).
% 26.00/17.78 tff(31396,plain,(~(constB137 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.00/17.78 tff(31397,assumption,(constB169 = sK0_VarCurr), introduced(assumption)).
% 26.00/17.78 tff(31398,plain,
% 26.00/17.78 (v200(constB169) <=> v200(sK0_VarCurr)),
% 26.00/17.78 inference(monotonicity,[status(thm)],[31397])).
% 26.00/17.78 tff(31399,plain,
% 26.00/17.78 (v200(sK0_VarCurr) <=> v200(constB169)),
% 26.00/17.78 inference(symmetry,[status(thm)],[31398])).
% 26.00/17.78 tff(31400,plain,
% 26.00/17.78 (v200(constB169)),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[788, 31399])).
% 26.00/17.78 tff(31401,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB169, bitIndex2)) | v90(constB169, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB169, bitIndex2)) | v90(constB169, bitIndex2))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31402,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB169, bitIndex2)) | v90(constB169, bitIndex2))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31403,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB169, bitIndex2)) | v90(constB169, bitIndex2)),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31402, 31401])).
% 26.00/17.78 tff(31404,plain,
% 26.00/17.78 (~v88(constB169, bitIndex2)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31403, 28577, 25684])).
% 26.00/17.78 tff(31405,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB169, bitIndex0)) | v90(constB169, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB169, bitIndex0)) | v90(constB169, bitIndex0))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31406,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB169, bitIndex0)) | v90(constB169, bitIndex0))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31407,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB169, bitIndex0)) | v90(constB169, bitIndex0)),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31406, 31405])).
% 26.00/17.78 tff(31408,plain,
% 26.00/17.78 (~v88(constB169, bitIndex0)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31407, 23809, 25749])).
% 26.00/17.78 tff(31409,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB169, bitIndex1)) | v88(constB169, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB169, bitIndex1)) | v88(constB169, bitIndex1))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31410,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB169, bitIndex1)) | v88(constB169, bitIndex1))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31411,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB169, bitIndex1)) | v88(constB169, bitIndex1)),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31410, 31409])).
% 26.00/17.78 tff(31412,plain,
% 26.00/17.78 (v88(constB169, bitIndex1)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31411, 28592, 25715])).
% 26.00/17.78 tff(31413,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB169, bitIndex1)) | v88(constB169, bitIndex2) | v88(constB169, bitIndex0) | v143(constB169))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex2) | v88(constB169, bitIndex0) | v143(constB169))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31414,plain,
% 26.00/17.78 ((v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0) | v143(constB169)) <=> ((~v88(constB169, bitIndex1)) | v88(constB169, bitIndex2) | v88(constB169, bitIndex0) | v143(constB169))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31415,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0) | v143(constB169))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB169, bitIndex1)) | v88(constB169, bitIndex2) | v88(constB169, bitIndex0) | v143(constB169)))),
% 26.00/17.78 inference(monotonicity,[status(thm)],[31414])).
% 26.00/17.78 tff(31416,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0) | v143(constB169))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex2) | v88(constB169, bitIndex0) | v143(constB169))),
% 26.00/17.78 inference(transitivity,[status(thm)],[31415, 31413])).
% 26.00/17.78 tff(31417,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0) | v143(constB169))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31418,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex2) | v88(constB169, bitIndex0) | v143(constB169)),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31417, 31416])).
% 26.00/17.78 tff(31419,plain,
% 26.00/17.78 (v143(constB169)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31418, 28606, 31412, 31408, 31404])).
% 26.00/17.78 tff(31420,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB169)) | v142(constB169))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB169)) | v142(constB169))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31421,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB169)) | v142(constB169))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31422,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB169)) | v142(constB169)),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31421, 31420])).
% 26.00/17.78 tff(31423,plain,
% 26.00/17.78 (v142(constB169)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31422, 28620, 31419])).
% 26.00/17.78 tff(31424,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB169)) | v148(constB169))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB169)) | v148(constB169))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31425,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB169)) | v148(constB169))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31426,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB169)) | v148(constB169)),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31425, 31424])).
% 26.00/17.78 tff(31427,plain,
% 26.00/17.78 (v148(constB169)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31426, 29217, 31423])).
% 26.00/17.78 tff(31428,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB169)) | v167(constB169))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB169)) | v167(constB169))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31429,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB169)) | v167(constB169))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31430,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB169)) | v167(constB169)),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31429, 31428])).
% 26.00/17.78 tff(31431,plain,
% 26.00/17.78 (v167(constB169)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31430, 28631, 31423])).
% 26.00/17.78 tff(31432,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB169) | (~v167(constB169)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB169) | (~v167(constB169)))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31433,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB169) | (~v167(constB169)))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31434,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB169) | (~v167(constB169))),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31433, 31432])).
% 26.00/17.78 tff(31435,plain,
% 26.00/17.78 (v166(constB169)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31434, 28645, 31431])).
% 26.00/17.78 tff(31436,plain,
% 26.00/17.78 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB169) | (~v166(constB169)) | (~v148(constB169)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB169) | (~v166(constB169)) | (~v148(constB169)))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31437,plain,
% 26.00/17.78 (((~v148(constB169)) | v86(constB169) | (~v166(constB169))) <=> (v86(constB169) | (~v166(constB169)) | (~v148(constB169)))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31438,plain,
% 26.00/17.78 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB169)) | v86(constB169) | (~v166(constB169)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB169) | (~v166(constB169)) | (~v148(constB169))))),
% 26.00/17.78 inference(monotonicity,[status(thm)],[31437])).
% 26.00/17.78 tff(31439,plain,
% 26.00/17.78 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB169)) | v86(constB169) | (~v166(constB169)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB169) | (~v166(constB169)) | (~v148(constB169)))),
% 26.00/17.78 inference(transitivity,[status(thm)],[31438, 31436])).
% 26.00/17.78 tff(31440,plain,
% 26.00/17.78 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB169)) | v86(constB169) | (~v166(constB169)))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31441,plain,
% 26.00/17.78 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB169) | (~v166(constB169)) | (~v148(constB169))),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31440, 31439])).
% 26.00/17.78 tff(31442,plain,
% 26.00/17.78 (v86(constB169)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31441, 29242, 31435, 31427])).
% 26.00/17.78 tff(31443,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | ((~v203(constB169)) | (~v86(constB169)))) <=> ((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | (~v203(constB169)) | (~v86(constB169)))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31444,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | ((~v203(constB169)) | (~v86(constB169)))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31445,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | (~v203(constB169)) | (~v86(constB169))),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31444, 31443])).
% 26.00/17.78 tff(31446,plain,
% 26.00/17.78 (~v203(constB169)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31445, 29256, 31442])).
% 26.00/17.78 tff(31447,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | (v203(constB169) | (~v202(constB169)))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | v203(constB169) | (~v202(constB169)))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31448,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | (v203(constB169) | (~v202(constB169)))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31449,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | v203(constB169) | (~v202(constB169))),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31448, 31447])).
% 26.00/17.78 tff(31450,plain,
% 26.00/17.78 (~v202(constB169)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31449, 29270, 31446])).
% 26.00/17.78 tff(31451,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | (v202(constB169) | (~v201(constB169)))) <=> ((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | v202(constB169) | (~v201(constB169)))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31452,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | (v202(constB169) | (~v201(constB169)))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31453,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | v202(constB169) | (~v201(constB169))),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31452, 31451])).
% 26.00/17.78 tff(31454,plain,
% 26.00/17.78 (~v201(constB169)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31453, 29284, 31450])).
% 26.00/17.78 tff(31455,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB168)) | (~v185(constB168)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB168)) | (~v185(constB168)))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31456,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB168)) | (~v185(constB168)))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31457,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB168)) | (~v185(constB168))),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31456, 31455])).
% 26.00/17.78 tff(31458,plain,
% 26.00/17.78 (~v185(constB168)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31457, 24010, 25621])).
% 26.00/17.78 tff(31459,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB168) | (~v184(constB168)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB168) | (~v184(constB168)))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31460,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB168) | (~v184(constB168)))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31461,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB168) | (~v184(constB168))),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31460, 31459])).
% 26.00/17.78 tff(31462,plain,
% 26.00/17.78 (~v184(constB168)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31461, 24024, 31458])).
% 26.00/17.78 tff(31463,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB168) | (~v180(constB168)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB168) | (~v180(constB168)))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31464,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB168) | (~v180(constB168)))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31465,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB168) | (~v180(constB168))),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31464, 31463])).
% 26.00/17.78 tff(31466,plain,
% 26.00/17.78 (~v180(constB168)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31465, 23899, 31462])).
% 26.00/17.78 tff(31467,plain,
% 26.00/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB168, constB169)) | v180(constB168) | (~v182(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB168, constB169)) | v180(constB168) | (~v182(constB169)))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31468,plain,
% 26.00/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB168, constB169)) | v180(constB168) | (~v182(constB169)))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31469,plain,
% 26.00/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB168, constB169)) | v180(constB168) | (~v182(constB169))),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31468, 31467])).
% 26.00/17.78 tff(31470,plain,
% 26.00/17.78 (v180(constB168) | (~v182(constB169))),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31469, 23916, 25663])).
% 26.00/17.78 tff(31471,plain,
% 26.00/17.78 (~v182(constB169)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31470, 31466])).
% 26.00/17.78 tff(31472,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB169) | (~v205(constB169)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB169) | (~v205(constB169)))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31473,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB169) | (~v205(constB169)))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31474,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB169) | (~v205(constB169))),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31473, 31472])).
% 26.00/17.78 tff(31475,plain,
% 26.00/17.78 (~v205(constB169)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31474, 24139, 31471])).
% 26.00/17.78 tff(31476,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB169) | v205(constB169) | (~v200(constB169)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB169) | v205(constB169) | (~v200(constB169)))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31477,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB169) | v205(constB169) | (~v200(constB169)))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31478,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB169) | v205(constB169) | (~v200(constB169))),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31477, 31476])).
% 26.00/17.78 tff(31479,plain,
% 26.00/17.78 (v201(constB169) | (~v200(constB169))),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31478, 24153, 31475])).
% 26.00/17.78 tff(31480,plain,
% 26.00/17.78 (~v200(constB169)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31479, 31454])).
% 26.00/17.78 tff(31481,plain,
% 26.00/17.78 ($false),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31480, 31400])).
% 26.00/17.78 tff(31482,plain,(~(constB169 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.00/17.78 tff(31483,assumption,(constB27 = sK0_VarCurr), introduced(assumption)).
% 26.00/17.78 tff(31484,plain,
% 26.00/17.78 (v200(constB27) <=> v200(sK0_VarCurr)),
% 26.00/17.78 inference(monotonicity,[status(thm)],[31483])).
% 26.00/17.78 tff(31485,plain,
% 26.00/17.78 (v200(sK0_VarCurr) <=> v200(constB27)),
% 26.00/17.78 inference(symmetry,[status(thm)],[31484])).
% 26.00/17.78 tff(31486,plain,
% 26.00/17.78 (v200(constB27)),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[788, 31485])).
% 26.00/17.78 tff(31487,plain,
% 26.00/17.78 (v115(constB23)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[3975, 1412, 3968])).
% 26.00/17.78 tff(31488,plain,
% 26.00/17.78 (v114(constB23)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[3982, 1022, 31487])).
% 26.00/17.78 tff(31489,plain,
% 26.00/17.78 (v113(constB23)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[3989, 1036, 31488])).
% 26.00/17.78 tff(31490,plain,
% 26.00/17.78 (v112(constB23)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[4001, 31489])).
% 26.00/17.78 tff(31491,plain,
% 26.00/17.78 (v108(constB23)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[4008, 1062, 31490])).
% 26.00/17.78 tff(31492,plain,
% 26.00/17.78 (v110(constB24)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[4019, 31491])).
% 26.00/17.78 tff(31493,plain,
% 26.00/17.78 (v100(constB24)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[4045, 31492])).
% 26.00/17.78 tff(31494,plain,
% 26.00/17.78 (~v130(constB23, bitIndex0)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[4129, 1617, 3968])).
% 26.00/17.78 tff(31495,plain,
% 26.00/17.78 (~v127(constB23, bitIndex0)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[4137, 31494])).
% 26.00/17.78 tff(31496,plain,
% 26.00/17.78 (~v129(constB24, bitIndex0)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[4142, 31495])).
% 26.00/17.78 tff(31497,plain,
% 26.00/17.78 ((~v90(constB24, bitIndex0)) | (~v100(constB24))),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[4149, 1374, 31496])).
% 26.00/17.78 tff(31498,plain,
% 26.00/17.78 (~v90(constB24, bitIndex0)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31497, 31493])).
% 26.00/17.78 tff(31499,plain,
% 26.00/17.78 (~v90(constB25, bitIndex0)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[4159, 31498])).
% 26.00/17.78 tff(31500,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB25, bitIndex0)) | v90(constB25, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB25, bitIndex0)) | v90(constB25, bitIndex0))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31501,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB25, bitIndex0)) | v90(constB25, bitIndex0))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31502,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB25, bitIndex0)) | v90(constB25, bitIndex0)),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31501, 31500])).
% 26.00/17.78 tff(31503,plain,
% 26.00/17.78 (~v88(constB25, bitIndex0)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31502, 23809, 31499])).
% 26.00/17.78 tff(31504,plain,
% 26.00/17.78 (v130(constB23, bitIndex2)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[4049, 1483, 3968])).
% 26.00/17.78 tff(31505,plain,
% 26.00/17.78 (v127(constB23, bitIndex2)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[4054, 31504])).
% 26.00/17.78 tff(31506,plain,
% 26.00/17.78 (v129(constB24, bitIndex2)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[4059, 31505])).
% 26.00/17.78 tff(31507,plain,
% 26.00/17.78 (v90(constB24, bitIndex2) | (~v100(constB24))),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[4066, 1204, 31506])).
% 26.00/17.78 tff(31508,plain,
% 26.00/17.78 (v90(constB24, bitIndex2)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31507, 31493])).
% 26.00/17.78 tff(31509,plain,
% 26.00/17.78 (v90(constB25, bitIndex2)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[4094, 31508])).
% 26.00/17.78 tff(31510,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31511,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31512,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2)),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31511, 31510])).
% 26.00/17.78 tff(31513,plain,
% 26.00/17.78 (v88(constB25, bitIndex2)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31512, 23683, 31509])).
% 26.00/17.78 tff(31514,plain,
% 26.00/17.78 (v130(constB23, bitIndex1)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[4098, 1539, 3968])).
% 26.00/17.78 tff(31515,plain,
% 26.00/17.78 (v127(constB23, bitIndex1)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[4103, 31514])).
% 26.00/17.78 tff(31516,plain,
% 26.00/17.78 (v129(constB24, bitIndex1)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[4108, 31515])).
% 26.00/17.78 tff(31517,plain,
% 26.00/17.78 (v90(constB24, bitIndex1) | (~v100(constB24))),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[4115, 1583, 31516])).
% 26.00/17.78 tff(31518,plain,
% 26.00/17.78 (v90(constB24, bitIndex1)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31517, 31493])).
% 26.00/17.78 tff(31519,plain,
% 26.00/17.78 (v90(constB25, bitIndex1)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[4125, 31518])).
% 26.00/17.78 tff(31520,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31521,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31522,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1)),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31521, 31520])).
% 26.00/17.78 tff(31523,plain,
% 26.00/17.78 (v88(constB25, bitIndex1)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31522, 28592, 31519])).
% 26.00/17.78 tff(31524,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB25, bitIndex0) | (~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v144(constB25))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB25, bitIndex0) | (~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v144(constB25))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31525,plain,
% 26.00/17.78 (((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25)) <=> (v88(constB25, bitIndex0) | (~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v144(constB25))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31526,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB25, bitIndex0) | (~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v144(constB25)))),
% 26.00/17.78 inference(monotonicity,[status(thm)],[31525])).
% 26.00/17.78 tff(31527,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB25, bitIndex0) | (~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v144(constB25))),
% 26.00/17.78 inference(transitivity,[status(thm)],[31526, 31524])).
% 26.00/17.78 tff(31528,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31529,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB25, bitIndex0) | (~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v144(constB25)),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31528, 31527])).
% 26.00/17.78 tff(31530,plain,
% 26.00/17.78 (v144(constB25)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31529, 30257, 31523, 31513, 31503])).
% 26.00/17.78 tff(31531,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB25)) | v142(constB25))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB25)) | v142(constB25))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31532,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB25)) | v142(constB25))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31533,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB25)) | v142(constB25)),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31532, 31531])).
% 26.00/17.78 tff(31534,plain,
% 26.00/17.78 (v142(constB25)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31533, 30271, 31530])).
% 26.00/17.78 tff(31535,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB25)) | v167(constB25))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB25)) | v167(constB25))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31536,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB25)) | v167(constB25))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31537,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB25)) | v167(constB25)),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31536, 31535])).
% 26.00/17.78 tff(31538,plain,
% 26.00/17.78 (v167(constB25)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31537, 28631, 31534])).
% 26.00/17.78 tff(31539,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB25) | (~v167(constB25)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB25) | (~v167(constB25)))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31540,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB25) | (~v167(constB25)))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31541,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB25) | (~v167(constB25))),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31540, 31539])).
% 26.00/17.78 tff(31542,plain,
% 26.00/17.78 (v166(constB25)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31541, 28645, 31538])).
% 26.00/17.78 tff(31543,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v139(constB25)) | (~v88(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v139(constB25)) | (~v88(constB25, bitIndex1)))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31544,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v139(constB25)) | (~v88(constB25, bitIndex1)))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31545,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v139(constB25)) | (~v88(constB25, bitIndex1))),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31544, 31543])).
% 26.00/17.78 tff(31546,plain,
% 26.00/17.78 (~v139(constB25)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31545, 28656, 31523])).
% 26.00/17.78 tff(31547,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB25)) | (~v88(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB25)) | (~v88(constB25, bitIndex1)))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31548,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB25)) | (~v88(constB25, bitIndex1)))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31549,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB25)) | (~v88(constB25, bitIndex1))),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31548, 31547])).
% 26.00/17.78 tff(31550,plain,
% 26.00/17.78 (~v140(constB25)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31549, 28667, 31523])).
% 26.00/17.78 tff(31551,plain,
% 26.00/17.78 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB25) | v140(constB25) | (~v170(constB25)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB25) | v140(constB25) | (~v170(constB25)))),
% 26.00/17.78 inference(rewrite,[status(thm)],[])).
% 26.00/17.78 tff(31552,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB25) | v140(constB25) | (~v170(constB25)))),
% 26.00/17.78 inference(quant_inst,[status(thm)],[])).
% 26.00/17.78 tff(31553,plain,
% 26.00/17.78 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB25) | v140(constB25) | (~v170(constB25))),
% 26.00/17.78 inference(modus_ponens,[status(thm)],[31552, 31551])).
% 26.00/17.78 tff(31554,plain,
% 26.00/17.78 (~v170(constB25)),
% 26.00/17.78 inference(unit_resolution,[status(thm)],[31553, 23719, 31550, 31546])).
% 26.00/17.79 tff(31555,plain,
% 26.00/17.79 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB25)) | v170(constB25) | (~v166(constB25)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB25)) | v170(constB25) | (~v166(constB25)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31556,plain,
% 26.00/17.79 (((~v166(constB25)) | v170(constB25) | (~v163(constB25))) <=> ((~v163(constB25)) | v170(constB25) | (~v166(constB25)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31557,plain,
% 26.00/17.79 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB25)) | v170(constB25) | (~v163(constB25)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB25)) | v170(constB25) | (~v166(constB25))))),
% 26.00/17.79 inference(monotonicity,[status(thm)],[31556])).
% 26.00/17.79 tff(31558,plain,
% 26.00/17.79 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB25)) | v170(constB25) | (~v163(constB25)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB25)) | v170(constB25) | (~v166(constB25)))),
% 26.00/17.79 inference(transitivity,[status(thm)],[31557, 31555])).
% 26.00/17.79 tff(31559,plain,
% 26.00/17.79 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB25)) | v170(constB25) | (~v163(constB25)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31560,plain,
% 26.00/17.79 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB25)) | v170(constB25) | (~v166(constB25))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31559, 31558])).
% 26.00/17.79 tff(31561,plain,
% 26.00/17.79 ((~v163(constB25)) | (~v166(constB25))),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31560, 23868, 31554])).
% 26.00/17.79 tff(31562,plain,
% 26.00/17.79 (~v163(constB25)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31561, 31542])).
% 26.00/17.79 tff(31563,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB25) | (~v184(constB25)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB25) | (~v184(constB25)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31564,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB25) | (~v184(constB25)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31565,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB25) | (~v184(constB25))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31564, 31563])).
% 26.00/17.79 tff(31566,plain,
% 26.00/17.79 (~v184(constB25)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31565, 23885, 31562])).
% 26.00/17.79 tff(31567,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB25) | (~v180(constB25)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB25) | (~v180(constB25)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31568,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB25) | (~v180(constB25)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31569,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB25) | (~v180(constB25))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31568, 31567])).
% 26.00/17.79 tff(31570,plain,
% 26.00/17.79 (~v180(constB25)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31569, 23899, 31566])).
% 26.00/17.79 tff(31571,plain,
% 26.00/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB25, constB26)) | v180(constB25) | (~v182(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB25, constB26)) | v180(constB25) | (~v182(constB26)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31572,plain,
% 26.00/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB25, constB26)) | v180(constB25) | (~v182(constB26)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31573,plain,
% 26.00/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB25, constB26)) | v180(constB25) | (~v182(constB26))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31572, 31571])).
% 26.00/17.79 tff(31574,plain,
% 26.00/17.79 (v180(constB25) | (~v182(constB26))),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31573, 23916, 4193])).
% 26.00/17.79 tff(31575,plain,
% 26.00/17.79 (~v182(constB26)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31574, 31570])).
% 26.00/17.79 tff(31576,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB26) | (~v196(constB26)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB26) | (~v196(constB26)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31577,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB26) | (~v196(constB26)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31578,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB26) | (~v196(constB26))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31577, 31576])).
% 26.00/17.79 tff(31579,plain,
% 26.00/17.79 (~v196(constB26)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31578, 23931, 31575])).
% 26.00/17.79 tff(31580,assumption,(v18(constB26)), introduced(assumption)).
% 26.00/17.79 tff(31581,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB26))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31582,plain,
% 26.00/17.79 ($false),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31581, 16985, 31580])).
% 26.00/17.79 tff(31583,plain,(~v18(constB26)), inference(lemma,lemma(discharge,[]))).
% 26.00/17.79 tff(31584,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB26) | (~v1(constB26)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB26) | (~v1(constB26)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31585,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB26) | (~v1(constB26)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31586,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB26) | (~v1(constB26))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31585, 31584])).
% 26.00/17.79 tff(31587,plain,
% 26.00/17.79 (v22(constB26)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31586, 16998, 53])).
% 26.00/17.79 tff(31588,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB26) | (~v22(constB26)) | (~v19(constB26)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB26) | (~v22(constB26)) | (~v19(constB26)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31589,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB26) | (~v22(constB26)) | (~v19(constB26)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31590,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB26) | (~v22(constB26)) | (~v19(constB26))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31589, 31588])).
% 26.00/17.79 tff(31591,plain,
% 26.00/17.79 (v18(constB26) | (~v19(constB26))),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31590, 17012, 31587])).
% 26.00/17.79 tff(31592,plain,
% 26.00/17.79 (~v19(constB26)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31591, 31583])).
% 26.00/17.79 tff(31593,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB26) | v19(constB26))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB26) | v19(constB26))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31594,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB26) | v19(constB26))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31595,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB26) | v19(constB26)),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31594, 31593])).
% 26.00/17.79 tff(31596,plain,
% 26.00/17.79 (v13(constB26)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31595, 17024, 31592])).
% 26.00/17.79 tff(31597,plain,
% 26.00/17.79 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB25) | (~v13(constB26)) | (~nextState(constB25, constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB25) | (~v13(constB26)) | (~nextState(constB25, constB26)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31598,plain,
% 26.00/17.79 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB25) | (~v13(constB26)) | (~nextState(constB25, constB26)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31599,plain,
% 26.00/17.79 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB25) | (~v13(constB26)) | (~nextState(constB25, constB26))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31598, 31597])).
% 26.00/17.79 tff(31600,plain,
% 26.00/17.79 (v9(constB25) | (~v13(constB26))),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31599, 17041, 4193])).
% 26.00/17.79 tff(31601,plain,
% 26.00/17.79 (v9(constB25)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31600, 31596])).
% 26.00/17.79 tff(31602,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB25) | (~v9(constB25)) | v185(constB25))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB25) | (~v9(constB25)) | v185(constB25))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31603,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB25) | (~v9(constB25)) | v185(constB25))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31604,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB25) | (~v9(constB25)) | v185(constB25)),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31603, 31602])).
% 26.00/17.79 tff(31605,plain,
% 26.00/17.79 ((~v9(constB25)) | v185(constB25)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31604, 23970, 4071])).
% 26.00/17.79 tff(31606,plain,
% 26.00/17.79 (v185(constB25)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31605, 31601])).
% 26.00/17.79 tff(31607,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB25)) | v195(constB25))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (~v185(constB25)) | v195(constB25))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31608,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB25)) | v195(constB25))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31609,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (~v185(constB25)) | v195(constB25)),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31608, 31607])).
% 26.00/17.79 tff(31610,plain,
% 26.00/17.79 (v195(constB25)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31609, 23982, 31606])).
% 26.00/17.79 tff(31611,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB25)) | (~v195(constB25)))) <=> ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB25)) | (~v195(constB25)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31612,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB25)) | (~v195(constB25)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31613,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB25)) | (~v195(constB25))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31612, 31611])).
% 26.00/17.79 tff(31614,plain,
% 26.00/17.79 (~v193(constB25)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31613, 23996, 31610])).
% 26.00/17.79 tff(31615,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB24)) | (~v185(constB24)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB24)) | (~v185(constB24)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31616,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB24)) | (~v185(constB24)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31617,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB24)) | (~v185(constB24))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31616, 31615])).
% 26.00/17.79 tff(31618,plain,
% 26.00/17.79 (~v185(constB24)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31617, 24010, 4032])).
% 26.00/17.79 tff(31619,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB24) | (~v184(constB24)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB24) | (~v184(constB24)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31620,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB24) | (~v184(constB24)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31621,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB24) | (~v184(constB24))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31620, 31619])).
% 26.00/17.79 tff(31622,plain,
% 26.00/17.79 (~v184(constB24)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31621, 24024, 31618])).
% 26.00/17.79 tff(31623,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB24) | (~v180(constB24)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB24) | (~v180(constB24)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31624,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB24) | (~v180(constB24)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31625,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB24) | (~v180(constB24))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31624, 31623])).
% 26.00/17.79 tff(31626,plain,
% 26.00/17.79 (~v180(constB24)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31625, 23899, 31622])).
% 26.00/17.79 tff(31627,plain,
% 26.00/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB24, constB25)) | v180(constB24) | (~v182(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB24, constB25)) | v180(constB24) | (~v182(constB25)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31628,plain,
% 26.00/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB24, constB25)) | v180(constB24) | (~v182(constB25)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31629,plain,
% 26.00/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB24, constB25)) | v180(constB24) | (~v182(constB25))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31628, 31627])).
% 26.00/17.79 tff(31630,plain,
% 26.00/17.79 (v180(constB24) | (~v182(constB25))),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31629, 23916, 4074])).
% 26.00/17.79 tff(31631,plain,
% 26.00/17.79 (~v182(constB25)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31630, 31626])).
% 26.00/17.79 tff(31632,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB25) | (~v196(constB25)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB25) | (~v196(constB25)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31633,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB25) | (~v196(constB25)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31634,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB25) | (~v196(constB25))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31633, 31632])).
% 26.00/17.79 tff(31635,plain,
% 26.00/17.79 (~v196(constB25)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31634, 23931, 31631])).
% 26.00/17.79 tff(31636,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB25) | v196(constB25) | (~v190(constB25)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB25) | v196(constB25) | (~v190(constB25)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31637,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB25) | v196(constB25) | (~v190(constB25)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31638,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB25) | v196(constB25) | (~v190(constB25))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31637, 31636])).
% 26.00/17.79 tff(31639,plain,
% 26.00/17.79 (v193(constB25) | (~v190(constB25))),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31638, 24051, 31635])).
% 26.00/17.79 tff(31640,plain,
% 26.00/17.79 (~v190(constB25)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31639, 31614])).
% 26.00/17.79 tff(31641,plain,
% 26.00/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB25, constB26)) | v190(constB25) | (~v192(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB25, constB26)) | v190(constB25) | (~v192(constB26)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31642,plain,
% 26.00/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB25, constB26)) | v190(constB25) | (~v192(constB26)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31643,plain,
% 26.00/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB25, constB26)) | v190(constB25) | (~v192(constB26))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31642, 31641])).
% 26.00/17.79 tff(31644,plain,
% 26.00/17.79 (v190(constB25) | (~v192(constB26))),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31643, 24066, 4193])).
% 26.00/17.79 tff(31645,plain,
% 26.00/17.79 (~v192(constB26)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31644, 31640])).
% 26.00/17.79 tff(31646,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB26) | (~v193(constB26)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB26) | (~v193(constB26)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31647,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB26) | (~v193(constB26)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31648,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB26) | (~v193(constB26))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31647, 31646])).
% 26.00/17.79 tff(31649,plain,
% 26.00/17.79 (~v193(constB26)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31648, 24081, 31645])).
% 26.00/17.79 tff(31650,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB26) | v196(constB26) | (~v190(constB26)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB26) | v196(constB26) | (~v190(constB26)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31651,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB26) | v196(constB26) | (~v190(constB26)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31652,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB26) | v196(constB26) | (~v190(constB26))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31651, 31650])).
% 26.00/17.79 tff(31653,plain,
% 26.00/17.79 (v196(constB26) | (~v190(constB26))),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31652, 24051, 31649])).
% 26.00/17.79 tff(31654,plain,
% 26.00/17.79 (~v190(constB26)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31653, 31579])).
% 26.00/17.79 tff(31655,plain,
% 26.00/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB26, constB27)) | v190(constB26) | (~v192(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB26, constB27)) | v190(constB26) | (~v192(constB27)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31656,plain,
% 26.00/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB26, constB27)) | v190(constB26) | (~v192(constB27)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31657,plain,
% 26.00/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB26, constB27)) | v190(constB26) | (~v192(constB27))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31656, 31655])).
% 26.00/17.79 tff(31658,plain,
% 26.00/17.79 (v190(constB26) | (~v192(constB27))),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31657, 24066, 4276])).
% 26.00/17.79 tff(31659,plain,
% 26.00/17.79 (~v192(constB27)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31658, 31654])).
% 26.00/17.79 tff(31660,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB27) | (~v201(constB27)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB27) | (~v201(constB27)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31661,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB27) | (~v201(constB27)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31662,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB27) | (~v201(constB27))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31661, 31660])).
% 26.00/17.79 tff(31663,plain,
% 26.00/17.79 (~v201(constB27)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31662, 24108, 31659])).
% 26.00/17.79 tff(31664,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB26)) | (~v185(constB26)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB26)) | (~v185(constB26)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31665,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB26)) | (~v185(constB26)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31666,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB26)) | (~v185(constB26))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31665, 31664])).
% 26.00/17.79 tff(31667,plain,
% 26.00/17.79 (~v185(constB26)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31666, 24010, 53])).
% 26.00/17.79 tff(31668,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB26) | (~v184(constB26)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB26) | (~v184(constB26)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31669,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB26) | (~v184(constB26)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31670,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB26) | (~v184(constB26))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31669, 31668])).
% 26.00/17.79 tff(31671,plain,
% 26.00/17.79 (~v184(constB26)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31670, 24024, 31667])).
% 26.00/17.79 tff(31672,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB26) | (~v180(constB26)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB26) | (~v180(constB26)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31673,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB26) | (~v180(constB26)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31674,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB26) | (~v180(constB26))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31673, 31672])).
% 26.00/17.79 tff(31675,plain,
% 26.00/17.79 (~v180(constB26)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31674, 23899, 31671])).
% 26.00/17.79 tff(31676,plain,
% 26.00/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB26, constB27)) | v180(constB26) | (~v182(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB26, constB27)) | v180(constB26) | (~v182(constB27)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31677,plain,
% 26.00/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB26, constB27)) | v180(constB26) | (~v182(constB27)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31678,plain,
% 26.00/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB26, constB27)) | v180(constB26) | (~v182(constB27))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31677, 31676])).
% 26.00/17.79 tff(31679,plain,
% 26.00/17.79 (v180(constB26) | (~v182(constB27))),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31678, 23916, 4276])).
% 26.00/17.79 tff(31680,plain,
% 26.00/17.79 (~v182(constB27)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31679, 31675])).
% 26.00/17.79 tff(31681,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB27) | (~v205(constB27)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB27) | (~v205(constB27)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31682,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB27) | (~v205(constB27)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31683,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB27) | (~v205(constB27))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31682, 31681])).
% 26.00/17.79 tff(31684,plain,
% 26.00/17.79 (~v205(constB27)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31683, 24139, 31680])).
% 26.00/17.79 tff(31685,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB27) | v205(constB27) | (~v200(constB27)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB27) | v205(constB27) | (~v200(constB27)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31686,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB27) | v205(constB27) | (~v200(constB27)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31687,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB27) | v205(constB27) | (~v200(constB27))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31686, 31685])).
% 26.00/17.79 tff(31688,plain,
% 26.00/17.79 (v201(constB27) | (~v200(constB27))),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31687, 24153, 31684])).
% 26.00/17.79 tff(31689,plain,
% 26.00/17.79 (~v200(constB27)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31688, 31663])).
% 26.00/17.79 tff(31690,plain,
% 26.00/17.79 ($false),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31689, 31486])).
% 26.00/17.79 tff(31691,plain,(~(constB27 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.00/17.79 tff(31692,assumption,(constB65 = sK0_VarCurr), introduced(assumption)).
% 26.00/17.79 tff(31693,plain,
% 26.00/17.79 (v200(constB65) <=> v200(sK0_VarCurr)),
% 26.00/17.79 inference(monotonicity,[status(thm)],[31692])).
% 26.00/17.79 tff(31694,plain,
% 26.00/17.79 (v200(sK0_VarCurr) <=> v200(constB65)),
% 26.00/17.79 inference(symmetry,[status(thm)],[31693])).
% 26.00/17.79 tff(31695,plain,
% 26.00/17.79 (v200(constB65)),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[788, 31694])).
% 26.00/17.79 tff(31696,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB63, bitIndex2)) | v88(constB63, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB63, bitIndex2)) | v88(constB63, bitIndex2))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31697,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB63, bitIndex2)) | v88(constB63, bitIndex2))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31698,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB63, bitIndex2)) | v88(constB63, bitIndex2)),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31697, 31696])).
% 26.00/17.79 tff(31699,plain,
% 26.00/17.79 (v88(constB63, bitIndex2)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31698, 23683, 9947])).
% 26.00/17.79 tff(31700,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v139(constB63)) | (~v88(constB63, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v139(constB63)) | (~v88(constB63, bitIndex2)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31701,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v139(constB63)) | (~v88(constB63, bitIndex2)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31702,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v139(constB63)) | (~v88(constB63, bitIndex2))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31701, 31700])).
% 26.00/17.79 tff(31703,plain,
% 26.00/17.79 (~v139(constB63)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31702, 23694, 31699])).
% 26.00/17.79 tff(31704,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v140(constB63)) | (~v88(constB63, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v140(constB63)) | (~v88(constB63, bitIndex2)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31705,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v140(constB63)) | (~v88(constB63, bitIndex2)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31706,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v140(constB63)) | (~v88(constB63, bitIndex2))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31705, 31704])).
% 26.00/17.79 tff(31707,plain,
% 26.00/17.79 (~v140(constB63)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31706, 23705, 31699])).
% 26.00/17.79 tff(31708,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB63) | v140(constB63) | (~v170(constB63)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB63) | v140(constB63) | (~v170(constB63)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31709,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB63) | v140(constB63) | (~v170(constB63)))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31710,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB63) | v140(constB63) | (~v170(constB63))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31709, 31708])).
% 26.00/17.79 tff(31711,plain,
% 26.00/17.79 (~v170(constB63)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31710, 23719, 31707, 31703])).
% 26.00/17.79 tff(31712,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB63, bitIndex1)) | v90(constB63, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB63, bitIndex1)) | v90(constB63, bitIndex1))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31713,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB63, bitIndex1)) | v90(constB63, bitIndex1))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31714,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB63, bitIndex1)) | v90(constB63, bitIndex1)),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31713, 31712])).
% 26.00/17.79 tff(31715,plain,
% 26.00/17.79 (~v88(constB63, bitIndex1)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31714, 23764, 9989])).
% 26.00/17.79 tff(31716,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB63, bitIndex0)) | v90(constB63, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB63, bitIndex0)) | v90(constB63, bitIndex0))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31717,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB63, bitIndex0)) | v90(constB63, bitIndex0))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31718,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB63, bitIndex0)) | v90(constB63, bitIndex0)),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31717, 31716])).
% 26.00/17.79 tff(31719,plain,
% 26.00/17.79 (~v88(constB63, bitIndex0)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31718, 23809, 10057])).
% 26.00/17.79 tff(31720,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB63, bitIndex2)) | v146(constB63) | v88(constB63, bitIndex1) | v88(constB63, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (~v88(constB63, bitIndex2)) | v146(constB63) | v88(constB63, bitIndex1) | v88(constB63, bitIndex0))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31721,plain,
% 26.00/17.79 (((~v88(constB63, bitIndex2)) | v88(constB63, bitIndex1) | v88(constB63, bitIndex0) | v146(constB63)) <=> ((~v88(constB63, bitIndex2)) | v146(constB63) | v88(constB63, bitIndex1) | v88(constB63, bitIndex0))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31722,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB63, bitIndex2)) | v88(constB63, bitIndex1) | v88(constB63, bitIndex0) | v146(constB63))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB63, bitIndex2)) | v146(constB63) | v88(constB63, bitIndex1) | v88(constB63, bitIndex0)))),
% 26.00/17.79 inference(monotonicity,[status(thm)],[31721])).
% 26.00/17.79 tff(31723,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB63, bitIndex2)) | v88(constB63, bitIndex1) | v88(constB63, bitIndex0) | v146(constB63))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (~v88(constB63, bitIndex2)) | v146(constB63) | v88(constB63, bitIndex1) | v88(constB63, bitIndex0))),
% 26.00/17.79 inference(transitivity,[status(thm)],[31722, 31720])).
% 26.00/17.79 tff(31724,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB63, bitIndex2)) | v88(constB63, bitIndex1) | v88(constB63, bitIndex0) | v146(constB63))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31725,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (~v88(constB63, bitIndex2)) | v146(constB63) | v88(constB63, bitIndex1) | v88(constB63, bitIndex0)),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31724, 31723])).
% 26.00/17.79 tff(31726,plain,
% 26.00/17.79 (v146(constB63)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31725, 23823, 31699, 31719, 31715])).
% 26.00/17.79 tff(31727,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB63)) | v145(constB63))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB63)) | v145(constB63))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31728,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB63)) | v145(constB63))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31729,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB63)) | v145(constB63)),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31728, 31727])).
% 26.00/17.79 tff(31730,plain,
% 26.00/17.79 (v145(constB63)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31729, 23837, 31726])).
% 26.00/17.79 tff(31731,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | (v166(constB63) | (~v145(constB63)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB63) | (~v145(constB63)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31732,plain,
% 26.00/17.79 (((~v145(constB63)) | v166(constB63)) <=> (v166(constB63) | (~v145(constB63)))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31733,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB63)) | v166(constB63))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | (v166(constB63) | (~v145(constB63))))),
% 26.00/17.79 inference(monotonicity,[status(thm)],[31732])).
% 26.00/17.79 tff(31734,plain,
% 26.00/17.79 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB63)) | v166(constB63))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB63) | (~v145(constB63)))),
% 26.00/17.79 inference(transitivity,[status(thm)],[31733, 31731])).
% 26.00/17.79 tff(31735,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB63)) | v166(constB63))),
% 26.00/17.79 inference(quant_inst,[status(thm)],[])).
% 26.00/17.79 tff(31736,plain,
% 26.00/17.79 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB63) | (~v145(constB63))),
% 26.00/17.79 inference(modus_ponens,[status(thm)],[31735, 31734])).
% 26.00/17.79 tff(31737,plain,
% 26.00/17.79 (v166(constB63)),
% 26.00/17.79 inference(unit_resolution,[status(thm)],[31736, 23851, 31730])).
% 26.00/17.79 tff(31738,plain,
% 26.00/17.79 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB63)) | (~v166(constB63)) | v170(constB63))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB63)) | (~v166(constB63)) | v170(constB63))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31739,plain,
% 26.00/17.79 (((~v166(constB63)) | v170(constB63) | (~v163(constB63))) <=> ((~v163(constB63)) | (~v166(constB63)) | v170(constB63))),
% 26.00/17.79 inference(rewrite,[status(thm)],[])).
% 26.00/17.79 tff(31740,plain,
% 26.00/17.79 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB63)) | v170(constB63) | (~v163(constB63)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB63)) | (~v166(constB63)) | v170(constB63)))),
% 26.00/17.79 inference(monotonicity,[status(thm)],[31739])).
% 26.00/17.79 tff(31741,plain,
% 26.00/17.79 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB63)) | v170(constB63) | (~v163(constB63)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB63)) | (~v166(constB63)) | v170(constB63))),
% 26.00/17.79 inference(transitivity,[status(thm)],[31740, 31738])).
% 26.00/17.80 tff(31742,plain,
% 26.00/17.80 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB63)) | v170(constB63) | (~v163(constB63)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31743,plain,
% 26.00/17.80 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB63)) | (~v166(constB63)) | v170(constB63)),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31742, 31741])).
% 26.00/17.80 tff(31744,plain,
% 26.00/17.80 (~v163(constB63)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31743, 23868, 31737, 31711])).
% 26.00/17.80 tff(31745,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB63) | (~v184(constB63)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB63) | (~v184(constB63)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31746,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB63) | (~v184(constB63)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31747,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB63) | (~v184(constB63))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31746, 31745])).
% 26.00/17.80 tff(31748,plain,
% 26.00/17.80 (~v184(constB63)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31747, 23885, 31744])).
% 26.00/17.80 tff(31749,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB63) | (~v180(constB63)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB63) | (~v180(constB63)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31750,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB63) | (~v180(constB63)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31751,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB63) | (~v180(constB63))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31750, 31749])).
% 26.00/17.80 tff(31752,plain,
% 26.00/17.80 (~v180(constB63)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31751, 23899, 31748])).
% 26.00/17.80 tff(31753,plain,
% 26.00/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB63, constB64)) | v180(constB63) | (~v182(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB63, constB64)) | v180(constB63) | (~v182(constB64)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31754,plain,
% 26.00/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB63, constB64)) | v180(constB63) | (~v182(constB64)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31755,plain,
% 26.00/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB63, constB64)) | v180(constB63) | (~v182(constB64))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31754, 31753])).
% 26.00/17.80 tff(31756,plain,
% 26.00/17.80 (v180(constB63) | (~v182(constB64))),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31755, 23916, 10098])).
% 26.00/17.80 tff(31757,plain,
% 26.00/17.80 (~v182(constB64)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31756, 31752])).
% 26.00/17.80 tff(31758,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB64) | (~v196(constB64)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB64) | (~v196(constB64)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31759,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB64) | (~v196(constB64)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31760,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB64) | (~v196(constB64))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31759, 31758])).
% 26.00/17.80 tff(31761,plain,
% 26.00/17.80 (~v196(constB64)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31760, 23931, 31757])).
% 26.00/17.80 tff(31762,assumption,(v18(constB64)), introduced(assumption)).
% 26.00/17.80 tff(31763,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB64))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31764,plain,
% 26.00/17.80 ($false),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31763, 16985, 31762])).
% 26.00/17.80 tff(31765,plain,(~v18(constB64)), inference(lemma,lemma(discharge,[]))).
% 26.00/17.80 tff(31766,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB64) | (~v1(constB64)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB64) | (~v1(constB64)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31767,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB64) | (~v1(constB64)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31768,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB64) | (~v1(constB64))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31767, 31766])).
% 26.00/17.80 tff(31769,plain,
% 26.00/17.80 (v22(constB64)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31768, 16998, 669])).
% 26.00/17.80 tff(31770,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB64) | (~v22(constB64)) | (~v19(constB64)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB64) | (~v22(constB64)) | (~v19(constB64)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31771,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB64) | (~v22(constB64)) | (~v19(constB64)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31772,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB64) | (~v22(constB64)) | (~v19(constB64))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31771, 31770])).
% 26.00/17.80 tff(31773,plain,
% 26.00/17.80 (v18(constB64) | (~v19(constB64))),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31772, 17012, 31769])).
% 26.00/17.80 tff(31774,plain,
% 26.00/17.80 (~v19(constB64)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31773, 31765])).
% 26.00/17.80 tff(31775,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB64) | v19(constB64))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB64) | v19(constB64))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31776,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB64) | v19(constB64))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31777,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB64) | v19(constB64)),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31776, 31775])).
% 26.00/17.80 tff(31778,plain,
% 26.00/17.80 (v13(constB64)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31777, 17024, 31774])).
% 26.00/17.80 tff(31779,plain,
% 26.00/17.80 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB63) | (~v13(constB64)) | (~nextState(constB63, constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB63) | (~v13(constB64)) | (~nextState(constB63, constB64)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31780,plain,
% 26.00/17.80 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB63) | (~v13(constB64)) | (~nextState(constB63, constB64)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31781,plain,
% 26.00/17.80 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB63) | (~v13(constB64)) | (~nextState(constB63, constB64))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31780, 31779])).
% 26.00/17.80 tff(31782,plain,
% 26.00/17.80 (v9(constB63) | (~v13(constB64))),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31781, 17041, 10098])).
% 26.00/17.80 tff(31783,plain,
% 26.00/17.80 (v9(constB63)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31782, 31778])).
% 26.00/17.80 tff(31784,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB63) | (~v9(constB63)) | v185(constB63))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB63) | (~v9(constB63)) | v185(constB63))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31785,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB63) | (~v9(constB63)) | v185(constB63))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31786,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB63) | (~v9(constB63)) | v185(constB63)),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31785, 31784])).
% 26.00/17.80 tff(31787,plain,
% 26.00/17.80 ((~v9(constB63)) | v185(constB63)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31786, 23970, 9923])).
% 26.00/17.80 tff(31788,plain,
% 26.00/17.80 (v185(constB63)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31787, 31783])).
% 26.00/17.80 tff(31789,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB63)) | v195(constB63))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (~v185(constB63)) | v195(constB63))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31790,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB63)) | v195(constB63))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31791,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (~v185(constB63)) | v195(constB63)),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31790, 31789])).
% 26.00/17.80 tff(31792,plain,
% 26.00/17.80 (v195(constB63)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31791, 23982, 31788])).
% 26.00/17.80 tff(31793,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB63)) | (~v195(constB63)))) <=> ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB63)) | (~v195(constB63)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31794,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB63)) | (~v195(constB63)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31795,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB63)) | (~v195(constB63))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31794, 31793])).
% 26.00/17.80 tff(31796,plain,
% 26.00/17.80 (~v193(constB63)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31795, 23996, 31792])).
% 26.00/17.80 tff(31797,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB62)) | (~v185(constB62)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB62)) | (~v185(constB62)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31798,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB62)) | (~v185(constB62)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31799,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB62)) | (~v185(constB62))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31798, 31797])).
% 26.00/17.80 tff(31800,plain,
% 26.00/17.80 (~v185(constB62)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31799, 24010, 9888])).
% 26.00/17.80 tff(31801,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB62) | (~v184(constB62)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB62) | (~v184(constB62)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31802,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB62) | (~v184(constB62)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31803,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB62) | (~v184(constB62))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31802, 31801])).
% 26.00/17.80 tff(31804,plain,
% 26.00/17.80 (~v184(constB62)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31803, 24024, 31800])).
% 26.00/17.80 tff(31805,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB62) | (~v180(constB62)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB62) | (~v180(constB62)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31806,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB62) | (~v180(constB62)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31807,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB62) | (~v180(constB62))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31806, 31805])).
% 26.00/17.80 tff(31808,plain,
% 26.00/17.80 (~v180(constB62)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31807, 23899, 31804])).
% 26.00/17.80 tff(31809,plain,
% 26.00/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB62, constB63)) | v180(constB62) | (~v182(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB62, constB63)) | v180(constB62) | (~v182(constB63)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31810,plain,
% 26.00/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB62, constB63)) | v180(constB62) | (~v182(constB63)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31811,plain,
% 26.00/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB62, constB63)) | v180(constB62) | (~v182(constB63))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31810, 31809])).
% 26.00/17.80 tff(31812,plain,
% 26.00/17.80 (v180(constB62) | (~v182(constB63))),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31811, 23916, 9926])).
% 26.00/17.80 tff(31813,plain,
% 26.00/17.80 (~v182(constB63)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31812, 31808])).
% 26.00/17.80 tff(31814,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB63) | (~v196(constB63)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB63) | (~v196(constB63)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31815,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB63) | (~v196(constB63)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31816,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB63) | (~v196(constB63))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31815, 31814])).
% 26.00/17.80 tff(31817,plain,
% 26.00/17.80 (~v196(constB63)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31816, 23931, 31813])).
% 26.00/17.80 tff(31818,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB63) | v196(constB63) | (~v190(constB63)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB63) | v196(constB63) | (~v190(constB63)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31819,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB63) | v196(constB63) | (~v190(constB63)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31820,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB63) | v196(constB63) | (~v190(constB63))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31819, 31818])).
% 26.00/17.80 tff(31821,plain,
% 26.00/17.80 (v193(constB63) | (~v190(constB63))),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31820, 24051, 31817])).
% 26.00/17.80 tff(31822,plain,
% 26.00/17.80 (~v190(constB63)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31821, 31796])).
% 26.00/17.80 tff(31823,plain,
% 26.00/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB63, constB64)) | v190(constB63) | (~v192(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB63, constB64)) | v190(constB63) | (~v192(constB64)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31824,plain,
% 26.00/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB63, constB64)) | v190(constB63) | (~v192(constB64)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31825,plain,
% 26.00/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB63, constB64)) | v190(constB63) | (~v192(constB64))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31824, 31823])).
% 26.00/17.80 tff(31826,plain,
% 26.00/17.80 (v190(constB63) | (~v192(constB64))),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31825, 24066, 10098])).
% 26.00/17.80 tff(31827,plain,
% 26.00/17.80 (~v192(constB64)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31826, 31822])).
% 26.00/17.80 tff(31828,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB64) | (~v193(constB64)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB64) | (~v193(constB64)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31829,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB64) | (~v193(constB64)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31830,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB64) | (~v193(constB64))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31829, 31828])).
% 26.00/17.80 tff(31831,plain,
% 26.00/17.80 (~v193(constB64)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31830, 24081, 31827])).
% 26.00/17.80 tff(31832,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB64) | v196(constB64) | (~v190(constB64)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB64) | v196(constB64) | (~v190(constB64)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31833,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB64) | v196(constB64) | (~v190(constB64)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31834,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB64) | v196(constB64) | (~v190(constB64))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31833, 31832])).
% 26.00/17.80 tff(31835,plain,
% 26.00/17.80 (v196(constB64) | (~v190(constB64))),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31834, 24051, 31831])).
% 26.00/17.80 tff(31836,plain,
% 26.00/17.80 (~v190(constB64)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31835, 31761])).
% 26.00/17.80 tff(31837,plain,
% 26.00/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB64, constB65)) | v190(constB64) | (~v192(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB64, constB65)) | v190(constB64) | (~v192(constB65)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31838,plain,
% 26.00/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB64, constB65)) | v190(constB64) | (~v192(constB65)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31839,plain,
% 26.00/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB64, constB65)) | v190(constB64) | (~v192(constB65))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31838, 31837])).
% 26.00/17.80 tff(31840,plain,
% 26.00/17.80 (v190(constB64) | (~v192(constB65))),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31839, 24066, 10157])).
% 26.00/17.80 tff(31841,plain,
% 26.00/17.80 (~v192(constB65)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31840, 31836])).
% 26.00/17.80 tff(31842,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB65) | (~v201(constB65)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB65) | (~v201(constB65)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31843,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB65) | (~v201(constB65)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31844,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB65) | (~v201(constB65))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31843, 31842])).
% 26.00/17.80 tff(31845,plain,
% 26.00/17.80 (~v201(constB65)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31844, 24108, 31841])).
% 26.00/17.80 tff(31846,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB65) | (~v205(constB65)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB65) | (~v205(constB65)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31847,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB65) | (~v205(constB65)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31848,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB65) | (~v205(constB65))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31847, 31846])).
% 26.00/17.80 tff(31849,plain,
% 26.00/17.80 (~v205(constB65)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31848, 24139, 30962])).
% 26.00/17.80 tff(31850,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB65) | v205(constB65) | (~v200(constB65)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB65) | v205(constB65) | (~v200(constB65)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31851,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB65) | v205(constB65) | (~v200(constB65)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31852,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB65) | v205(constB65) | (~v200(constB65))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31851, 31850])).
% 26.00/17.80 tff(31853,plain,
% 26.00/17.80 (v201(constB65) | (~v200(constB65))),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31852, 24153, 31849])).
% 26.00/17.80 tff(31854,plain,
% 26.00/17.80 (~v200(constB65)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31853, 31845])).
% 26.00/17.80 tff(31855,plain,
% 26.00/17.80 ($false),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31854, 31695])).
% 26.00/17.80 tff(31856,plain,(~(constB65 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.00/17.80 tff(31857,assumption,(constB75 = sK0_VarCurr), introduced(assumption)).
% 26.00/17.80 tff(31858,plain,
% 26.00/17.80 (v200(constB75) <=> v200(sK0_VarCurr)),
% 26.00/17.80 inference(monotonicity,[status(thm)],[31857])).
% 26.00/17.80 tff(31859,plain,
% 26.00/17.80 (v200(sK0_VarCurr) <=> v200(constB75)),
% 26.00/17.80 inference(symmetry,[status(thm)],[31858])).
% 26.00/17.80 tff(31860,plain,
% 26.00/17.80 (v200(constB75)),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[788, 31859])).
% 26.00/17.80 tff(31861,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB73, bitIndex2)) | v88(constB73, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB73, bitIndex2)) | v88(constB73, bitIndex2))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31862,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB73, bitIndex2)) | v88(constB73, bitIndex2))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31863,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB73, bitIndex2)) | v88(constB73, bitIndex2)),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31862, 31861])).
% 26.00/17.80 tff(31864,plain,
% 26.00/17.80 (v88(constB73, bitIndex2)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31863, 23683, 13893])).
% 26.00/17.80 tff(31865,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v139(constB73)) | (~v88(constB73, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v139(constB73)) | (~v88(constB73, bitIndex2)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31866,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v139(constB73)) | (~v88(constB73, bitIndex2)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31867,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v139(constB73)) | (~v88(constB73, bitIndex2))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31866, 31865])).
% 26.00/17.80 tff(31868,plain,
% 26.00/17.80 (~v139(constB73)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31867, 23694, 31864])).
% 26.00/17.80 tff(31869,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v140(constB73)) | (~v88(constB73, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v140(constB73)) | (~v88(constB73, bitIndex2)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31870,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v140(constB73)) | (~v88(constB73, bitIndex2)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31871,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v140(constB73)) | (~v88(constB73, bitIndex2))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31870, 31869])).
% 26.00/17.80 tff(31872,plain,
% 26.00/17.80 (~v140(constB73)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31871, 23705, 31864])).
% 26.00/17.80 tff(31873,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB73) | v140(constB73) | (~v170(constB73)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB73) | v140(constB73) | (~v170(constB73)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31874,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB73) | v140(constB73) | (~v170(constB73)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31875,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB73) | v140(constB73) | (~v170(constB73))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31874, 31873])).
% 26.00/17.80 tff(31876,plain,
% 26.00/17.80 (~v170(constB73)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31875, 23719, 31872, 31868])).
% 26.00/17.80 tff(31877,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB73, bitIndex1)) | v90(constB73, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB73, bitIndex1)) | v90(constB73, bitIndex1))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31878,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB73, bitIndex1)) | v90(constB73, bitIndex1))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31879,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB73, bitIndex1)) | v90(constB73, bitIndex1)),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31878, 31877])).
% 26.00/17.80 tff(31880,plain,
% 26.00/17.80 (~v88(constB73, bitIndex1)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31879, 23764, 13927])).
% 26.00/17.80 tff(31881,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB73, bitIndex0)) | v90(constB73, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB73, bitIndex0)) | v90(constB73, bitIndex0))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31882,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB73, bitIndex0)) | v90(constB73, bitIndex0))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31883,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB73, bitIndex0)) | v90(constB73, bitIndex0)),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31882, 31881])).
% 26.00/17.80 tff(31884,plain,
% 26.00/17.80 (~v88(constB73, bitIndex0)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31883, 23809, 13969])).
% 26.00/17.80 tff(31885,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB73, bitIndex2)) | v146(constB73) | v88(constB73, bitIndex1) | v88(constB73, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (~v88(constB73, bitIndex2)) | v146(constB73) | v88(constB73, bitIndex1) | v88(constB73, bitIndex0))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31886,plain,
% 26.00/17.80 (((~v88(constB73, bitIndex2)) | v88(constB73, bitIndex1) | v88(constB73, bitIndex0) | v146(constB73)) <=> ((~v88(constB73, bitIndex2)) | v146(constB73) | v88(constB73, bitIndex1) | v88(constB73, bitIndex0))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31887,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB73, bitIndex2)) | v88(constB73, bitIndex1) | v88(constB73, bitIndex0) | v146(constB73))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB73, bitIndex2)) | v146(constB73) | v88(constB73, bitIndex1) | v88(constB73, bitIndex0)))),
% 26.00/17.80 inference(monotonicity,[status(thm)],[31886])).
% 26.00/17.80 tff(31888,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB73, bitIndex2)) | v88(constB73, bitIndex1) | v88(constB73, bitIndex0) | v146(constB73))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (~v88(constB73, bitIndex2)) | v146(constB73) | v88(constB73, bitIndex1) | v88(constB73, bitIndex0))),
% 26.00/17.80 inference(transitivity,[status(thm)],[31887, 31885])).
% 26.00/17.80 tff(31889,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB73, bitIndex2)) | v88(constB73, bitIndex1) | v88(constB73, bitIndex0) | v146(constB73))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31890,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (~v88(constB73, bitIndex2)) | v146(constB73) | v88(constB73, bitIndex1) | v88(constB73, bitIndex0)),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31889, 31888])).
% 26.00/17.80 tff(31891,plain,
% 26.00/17.80 (v146(constB73)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31890, 23823, 31864, 31884, 31880])).
% 26.00/17.80 tff(31892,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB73)) | v145(constB73))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB73)) | v145(constB73))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31893,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB73)) | v145(constB73))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31894,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB73)) | v145(constB73)),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31893, 31892])).
% 26.00/17.80 tff(31895,plain,
% 26.00/17.80 (v145(constB73)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31894, 23837, 31891])).
% 26.00/17.80 tff(31896,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | (v166(constB73) | (~v145(constB73)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB73) | (~v145(constB73)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31897,plain,
% 26.00/17.80 (((~v145(constB73)) | v166(constB73)) <=> (v166(constB73) | (~v145(constB73)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31898,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB73)) | v166(constB73))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | (v166(constB73) | (~v145(constB73))))),
% 26.00/17.80 inference(monotonicity,[status(thm)],[31897])).
% 26.00/17.80 tff(31899,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB73)) | v166(constB73))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB73) | (~v145(constB73)))),
% 26.00/17.80 inference(transitivity,[status(thm)],[31898, 31896])).
% 26.00/17.80 tff(31900,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB73)) | v166(constB73))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31901,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB73) | (~v145(constB73))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31900, 31899])).
% 26.00/17.80 tff(31902,plain,
% 26.00/17.80 (v166(constB73)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31901, 23851, 31895])).
% 26.00/17.80 tff(31903,plain,
% 26.00/17.80 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB73)) | (~v166(constB73)) | v170(constB73))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB73)) | (~v166(constB73)) | v170(constB73))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31904,plain,
% 26.00/17.80 (((~v166(constB73)) | v170(constB73) | (~v163(constB73))) <=> ((~v163(constB73)) | (~v166(constB73)) | v170(constB73))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31905,plain,
% 26.00/17.80 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB73)) | v170(constB73) | (~v163(constB73)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB73)) | (~v166(constB73)) | v170(constB73)))),
% 26.00/17.80 inference(monotonicity,[status(thm)],[31904])).
% 26.00/17.80 tff(31906,plain,
% 26.00/17.80 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB73)) | v170(constB73) | (~v163(constB73)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB73)) | (~v166(constB73)) | v170(constB73))),
% 26.00/17.80 inference(transitivity,[status(thm)],[31905, 31903])).
% 26.00/17.80 tff(31907,plain,
% 26.00/17.80 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB73)) | v170(constB73) | (~v163(constB73)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31908,plain,
% 26.00/17.80 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB73)) | (~v166(constB73)) | v170(constB73)),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31907, 31906])).
% 26.00/17.80 tff(31909,plain,
% 26.00/17.80 (~v163(constB73)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31908, 23868, 31902, 31876])).
% 26.00/17.80 tff(31910,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB73) | (~v184(constB73)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB73) | (~v184(constB73)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31911,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB73) | (~v184(constB73)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31912,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB73) | (~v184(constB73))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31911, 31910])).
% 26.00/17.80 tff(31913,plain,
% 26.00/17.80 (~v184(constB73)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31912, 23885, 31909])).
% 26.00/17.80 tff(31914,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB73) | (~v180(constB73)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB73) | (~v180(constB73)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31915,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB73) | (~v180(constB73)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31916,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB73) | (~v180(constB73))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31915, 31914])).
% 26.00/17.80 tff(31917,plain,
% 26.00/17.80 (~v180(constB73)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31916, 23899, 31913])).
% 26.00/17.80 tff(31918,plain,
% 26.00/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB73, constB74)) | v180(constB73) | (~v182(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB73, constB74)) | v180(constB73) | (~v182(constB74)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31919,plain,
% 26.00/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB73, constB74)) | v180(constB73) | (~v182(constB74)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31920,plain,
% 26.00/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB73, constB74)) | v180(constB73) | (~v182(constB74))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31919, 31918])).
% 26.00/17.80 tff(31921,plain,
% 26.00/17.80 (v180(constB73) | (~v182(constB74))),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31920, 23916, 14009])).
% 26.00/17.80 tff(31922,plain,
% 26.00/17.80 (~v182(constB74)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31921, 31917])).
% 26.00/17.80 tff(31923,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB74) | (~v196(constB74)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB74) | (~v196(constB74)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31924,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB74) | (~v196(constB74)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31925,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB74) | (~v196(constB74))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31924, 31923])).
% 26.00/17.80 tff(31926,plain,
% 26.00/17.80 (~v196(constB74)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31925, 23931, 31922])).
% 26.00/17.80 tff(31927,assumption,(v18(constB74)), introduced(assumption)).
% 26.00/17.80 tff(31928,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB74))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31929,plain,
% 26.00/17.80 ($false),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31928, 16985, 31927])).
% 26.00/17.80 tff(31930,plain,(~v18(constB74)), inference(lemma,lemma(discharge,[]))).
% 26.00/17.80 tff(31931,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB74) | (~v1(constB74)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB74) | (~v1(constB74)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31932,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB74) | (~v1(constB74)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31933,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB74) | (~v1(constB74))),
% 26.00/17.80 inference(modus_ponens,[status(thm)],[31932, 31931])).
% 26.00/17.80 tff(31934,plain,
% 26.00/17.80 (v22(constB74)),
% 26.00/17.80 inference(unit_resolution,[status(thm)],[31933, 16998, 14029])).
% 26.00/17.80 tff(31935,plain,
% 26.00/17.80 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB74) | (~v22(constB74)) | (~v19(constB74)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB74) | (~v22(constB74)) | (~v19(constB74)))),
% 26.00/17.80 inference(rewrite,[status(thm)],[])).
% 26.00/17.80 tff(31936,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB74) | (~v22(constB74)) | (~v19(constB74)))),
% 26.00/17.80 inference(quant_inst,[status(thm)],[])).
% 26.00/17.80 tff(31937,plain,
% 26.00/17.80 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB74) | (~v22(constB74)) | (~v19(constB74))),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[31936, 31935])).
% 26.00/17.81 tff(31938,plain,
% 26.00/17.81 (v18(constB74) | (~v19(constB74))),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[31937, 17012, 31934])).
% 26.00/17.81 tff(31939,plain,
% 26.00/17.81 (~v19(constB74)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[31938, 31930])).
% 26.00/17.81 tff(31940,plain,
% 26.00/17.81 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB74) | v19(constB74))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB74) | v19(constB74))),
% 26.00/17.81 inference(rewrite,[status(thm)],[])).
% 26.00/17.81 tff(31941,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB74) | v19(constB74))),
% 26.00/17.81 inference(quant_inst,[status(thm)],[])).
% 26.00/17.81 tff(31942,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB74) | v19(constB74)),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[31941, 31940])).
% 26.00/17.81 tff(31943,plain,
% 26.00/17.81 (v13(constB74)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[31942, 17024, 31939])).
% 26.00/17.81 tff(31944,plain,
% 26.00/17.81 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB73) | (~v13(constB74)) | (~nextState(constB73, constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB73) | (~v13(constB74)) | (~nextState(constB73, constB74)))),
% 26.00/17.81 inference(rewrite,[status(thm)],[])).
% 26.00/17.81 tff(31945,plain,
% 26.00/17.81 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB73) | (~v13(constB74)) | (~nextState(constB73, constB74)))),
% 26.00/17.81 inference(quant_inst,[status(thm)],[])).
% 26.00/17.81 tff(31946,plain,
% 26.00/17.81 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB73) | (~v13(constB74)) | (~nextState(constB73, constB74))),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[31945, 31944])).
% 26.00/17.81 tff(31947,plain,
% 26.00/17.81 (v9(constB73) | (~v13(constB74))),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[31946, 17041, 14009])).
% 26.00/17.81 tff(31948,plain,
% 26.00/17.81 (v9(constB73)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[31947, 31943])).
% 26.00/17.81 tff(31949,plain,
% 26.00/17.81 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB73) | (~v9(constB73)) | v185(constB73))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB73) | (~v9(constB73)) | v185(constB73))),
% 26.00/17.81 inference(rewrite,[status(thm)],[])).
% 26.00/17.81 tff(31950,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB73) | (~v9(constB73)) | v185(constB73))),
% 26.00/17.81 inference(quant_inst,[status(thm)],[])).
% 26.00/17.81 tff(31951,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB73) | (~v9(constB73)) | v185(constB73)),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[31950, 31949])).
% 26.00/17.81 tff(31952,plain,
% 26.00/17.81 ((~v9(constB73)) | v185(constB73)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[31951, 23970, 13869])).
% 26.00/17.81 tff(31953,plain,
% 26.00/17.81 (v185(constB73)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[31952, 31948])).
% 26.00/17.81 tff(31954,plain,
% 26.00/17.81 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB73)) | v195(constB73))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (~v185(constB73)) | v195(constB73))),
% 26.00/17.81 inference(rewrite,[status(thm)],[])).
% 26.00/17.81 tff(31955,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB73)) | v195(constB73))),
% 26.00/17.81 inference(quant_inst,[status(thm)],[])).
% 26.00/17.81 tff(31956,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (~v185(constB73)) | v195(constB73)),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[31955, 31954])).
% 26.00/17.81 tff(31957,plain,
% 26.00/17.81 (v195(constB73)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[31956, 23982, 31953])).
% 26.00/17.81 tff(31958,plain,
% 26.00/17.81 (((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB73)) | (~v195(constB73)))) <=> ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB73)) | (~v195(constB73)))),
% 26.00/17.81 inference(rewrite,[status(thm)],[])).
% 26.00/17.81 tff(31959,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB73)) | (~v195(constB73)))),
% 26.00/17.81 inference(quant_inst,[status(thm)],[])).
% 26.00/17.81 tff(31960,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB73)) | (~v195(constB73))),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[31959, 31958])).
% 26.00/17.81 tff(31961,plain,
% 26.00/17.81 (~v193(constB73)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[31960, 23996, 31957])).
% 26.00/17.81 tff(31962,plain,
% 26.00/17.81 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB72)) | (~v185(constB72)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB72)) | (~v185(constB72)))),
% 26.00/17.81 inference(rewrite,[status(thm)],[])).
% 26.00/17.81 tff(31963,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB72)) | (~v185(constB72)))),
% 26.00/17.81 inference(quant_inst,[status(thm)],[])).
% 26.00/17.81 tff(31964,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB72)) | (~v185(constB72))),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[31963, 31962])).
% 26.00/17.81 tff(31965,plain,
% 26.00/17.81 (~v185(constB72)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[31964, 24010, 614])).
% 26.00/17.81 tff(31966,plain,
% 26.00/17.81 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB72) | (~v184(constB72)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB72) | (~v184(constB72)))),
% 26.00/17.81 inference(rewrite,[status(thm)],[])).
% 26.00/17.81 tff(31967,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB72) | (~v184(constB72)))),
% 26.00/17.81 inference(quant_inst,[status(thm)],[])).
% 26.00/17.81 tff(31968,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB72) | (~v184(constB72))),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[31967, 31966])).
% 26.00/17.81 tff(31969,plain,
% 26.00/17.81 (~v184(constB72)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[31968, 24024, 31965])).
% 26.00/17.81 tff(31970,plain,
% 26.00/17.81 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB72) | (~v180(constB72)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB72) | (~v180(constB72)))),
% 26.00/17.81 inference(rewrite,[status(thm)],[])).
% 26.00/17.81 tff(31971,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB72) | (~v180(constB72)))),
% 26.00/17.81 inference(quant_inst,[status(thm)],[])).
% 26.00/17.81 tff(31972,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB72) | (~v180(constB72))),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[31971, 31970])).
% 26.00/17.81 tff(31973,plain,
% 26.00/17.81 (~v180(constB72)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[31972, 23899, 31969])).
% 26.00/17.81 tff(31974,plain,
% 26.00/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB72, constB73)) | v180(constB72) | (~v182(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB72, constB73)) | v180(constB72) | (~v182(constB73)))),
% 26.00/17.81 inference(rewrite,[status(thm)],[])).
% 26.00/17.81 tff(31975,plain,
% 26.00/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB72, constB73)) | v180(constB72) | (~v182(constB73)))),
% 26.00/17.81 inference(quant_inst,[status(thm)],[])).
% 26.00/17.81 tff(31976,plain,
% 26.00/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB72, constB73)) | v180(constB72) | (~v182(constB73))),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[31975, 31974])).
% 26.00/17.81 tff(31977,plain,
% 26.00/17.81 (v180(constB72) | (~v182(constB73))),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[31976, 23916, 13872])).
% 26.00/17.81 tff(31978,plain,
% 26.00/17.81 (~v182(constB73)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[31977, 31973])).
% 26.00/17.81 tff(31979,plain,
% 26.00/17.81 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB73) | (~v196(constB73)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB73) | (~v196(constB73)))),
% 26.00/17.81 inference(rewrite,[status(thm)],[])).
% 26.00/17.81 tff(31980,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB73) | (~v196(constB73)))),
% 26.00/17.81 inference(quant_inst,[status(thm)],[])).
% 26.00/17.81 tff(31981,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB73) | (~v196(constB73))),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[31980, 31979])).
% 26.00/17.81 tff(31982,plain,
% 26.00/17.81 (~v196(constB73)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[31981, 23931, 31978])).
% 26.00/17.81 tff(31983,plain,
% 26.00/17.81 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB73) | v196(constB73) | (~v190(constB73)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB73) | v196(constB73) | (~v190(constB73)))),
% 26.00/17.81 inference(rewrite,[status(thm)],[])).
% 26.00/17.81 tff(31984,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB73) | v196(constB73) | (~v190(constB73)))),
% 26.00/17.81 inference(quant_inst,[status(thm)],[])).
% 26.00/17.81 tff(31985,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB73) | v196(constB73) | (~v190(constB73))),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[31984, 31983])).
% 26.00/17.81 tff(31986,plain,
% 26.00/17.81 (v193(constB73) | (~v190(constB73))),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[31985, 24051, 31982])).
% 26.00/17.81 tff(31987,plain,
% 26.00/17.81 (~v190(constB73)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[31986, 31961])).
% 26.00/17.81 tff(31988,plain,
% 26.00/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB73, constB74)) | v190(constB73) | (~v192(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB73, constB74)) | v190(constB73) | (~v192(constB74)))),
% 26.00/17.81 inference(rewrite,[status(thm)],[])).
% 26.00/17.81 tff(31989,plain,
% 26.00/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB73, constB74)) | v190(constB73) | (~v192(constB74)))),
% 26.00/17.81 inference(quant_inst,[status(thm)],[])).
% 26.00/17.81 tff(31990,plain,
% 26.00/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB73, constB74)) | v190(constB73) | (~v192(constB74))),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[31989, 31988])).
% 26.00/17.81 tff(31991,plain,
% 26.00/17.81 (v190(constB73) | (~v192(constB74))),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[31990, 24066, 14009])).
% 26.00/17.81 tff(31992,plain,
% 26.00/17.81 (~v192(constB74)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[31991, 31987])).
% 26.00/17.81 tff(31993,plain,
% 26.00/17.81 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB74) | (~v193(constB74)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB74) | (~v193(constB74)))),
% 26.00/17.81 inference(rewrite,[status(thm)],[])).
% 26.00/17.81 tff(31994,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB74) | (~v193(constB74)))),
% 26.00/17.81 inference(quant_inst,[status(thm)],[])).
% 26.00/17.81 tff(31995,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB74) | (~v193(constB74))),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[31994, 31993])).
% 26.00/17.81 tff(31996,plain,
% 26.00/17.81 (~v193(constB74)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[31995, 24081, 31992])).
% 26.00/17.81 tff(31997,plain,
% 26.00/17.81 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB74) | v196(constB74) | (~v190(constB74)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB74) | v196(constB74) | (~v190(constB74)))),
% 26.00/17.81 inference(rewrite,[status(thm)],[])).
% 26.00/17.81 tff(31998,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB74) | v196(constB74) | (~v190(constB74)))),
% 26.00/17.81 inference(quant_inst,[status(thm)],[])).
% 26.00/17.81 tff(31999,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB74) | v196(constB74) | (~v190(constB74))),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[31998, 31997])).
% 26.00/17.81 tff(32000,plain,
% 26.00/17.81 (v196(constB74) | (~v190(constB74))),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[31999, 24051, 31996])).
% 26.00/17.81 tff(32001,plain,
% 26.00/17.81 (~v190(constB74)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[32000, 31926])).
% 26.00/17.81 tff(32002,plain,
% 26.00/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB74, constB75)) | v190(constB74) | (~v192(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB74, constB75)) | v190(constB74) | (~v192(constB75)))),
% 26.00/17.81 inference(rewrite,[status(thm)],[])).
% 26.00/17.81 tff(32003,plain,
% 26.00/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB74, constB75)) | v190(constB74) | (~v192(constB75)))),
% 26.00/17.81 inference(quant_inst,[status(thm)],[])).
% 26.00/17.81 tff(32004,plain,
% 26.00/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB74, constB75)) | v190(constB74) | (~v192(constB75))),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[32003, 32002])).
% 26.00/17.81 tff(32005,plain,
% 26.00/17.81 (v190(constB74) | (~v192(constB75))),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[32004, 24066, 14071])).
% 26.00/17.81 tff(32006,plain,
% 26.00/17.81 (~v192(constB75)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[32005, 32001])).
% 26.00/17.81 tff(32007,plain,
% 26.00/17.81 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB75) | (~v201(constB75)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB75) | (~v201(constB75)))),
% 26.00/17.81 inference(rewrite,[status(thm)],[])).
% 26.00/17.81 tff(32008,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB75) | (~v201(constB75)))),
% 26.00/17.81 inference(quant_inst,[status(thm)],[])).
% 26.00/17.81 tff(32009,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB75) | (~v201(constB75))),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[32008, 32007])).
% 26.00/17.81 tff(32010,plain,
% 26.00/17.81 (~v201(constB75)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[32009, 24108, 32006])).
% 26.00/17.81 tff(32011,plain,
% 26.00/17.81 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB74)) | (~v185(constB74)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB74)) | (~v185(constB74)))),
% 26.00/17.81 inference(rewrite,[status(thm)],[])).
% 26.00/17.81 tff(32012,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB74)) | (~v185(constB74)))),
% 26.00/17.81 inference(quant_inst,[status(thm)],[])).
% 26.00/17.81 tff(32013,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB74)) | (~v185(constB74))),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[32012, 32011])).
% 26.00/17.81 tff(32014,plain,
% 26.00/17.81 (~v185(constB74)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[32013, 24010, 14029])).
% 26.00/17.81 tff(32015,plain,
% 26.00/17.81 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB74) | (~v184(constB74)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB74) | (~v184(constB74)))),
% 26.00/17.81 inference(rewrite,[status(thm)],[])).
% 26.00/17.81 tff(32016,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB74) | (~v184(constB74)))),
% 26.00/17.81 inference(quant_inst,[status(thm)],[])).
% 26.00/17.81 tff(32017,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB74) | (~v184(constB74))),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[32016, 32015])).
% 26.00/17.81 tff(32018,plain,
% 26.00/17.81 (~v184(constB74)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[32017, 24024, 32014])).
% 26.00/17.81 tff(32019,plain,
% 26.00/17.81 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB74) | (~v180(constB74)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB74) | (~v180(constB74)))),
% 26.00/17.81 inference(rewrite,[status(thm)],[])).
% 26.00/17.81 tff(32020,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB74) | (~v180(constB74)))),
% 26.00/17.81 inference(quant_inst,[status(thm)],[])).
% 26.00/17.81 tff(32021,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB74) | (~v180(constB74))),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[32020, 32019])).
% 26.00/17.81 tff(32022,plain,
% 26.00/17.81 (~v180(constB74)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[32021, 23899, 32018])).
% 26.00/17.81 tff(32023,plain,
% 26.00/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB74, constB75)) | v180(constB74) | (~v182(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB74, constB75)) | v180(constB74) | (~v182(constB75)))),
% 26.00/17.81 inference(rewrite,[status(thm)],[])).
% 26.00/17.81 tff(32024,plain,
% 26.00/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB74, constB75)) | v180(constB74) | (~v182(constB75)))),
% 26.00/17.81 inference(quant_inst,[status(thm)],[])).
% 26.00/17.81 tff(32025,plain,
% 26.00/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB74, constB75)) | v180(constB74) | (~v182(constB75))),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[32024, 32023])).
% 26.00/17.81 tff(32026,plain,
% 26.00/17.81 (v180(constB74) | (~v182(constB75))),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[32025, 23916, 14071])).
% 26.00/17.81 tff(32027,plain,
% 26.00/17.81 (~v182(constB75)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[32026, 32022])).
% 26.00/17.81 tff(32028,plain,
% 26.00/17.81 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB75) | (~v205(constB75)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB75) | (~v205(constB75)))),
% 26.00/17.81 inference(rewrite,[status(thm)],[])).
% 26.00/17.81 tff(32029,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB75) | (~v205(constB75)))),
% 26.00/17.81 inference(quant_inst,[status(thm)],[])).
% 26.00/17.81 tff(32030,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB75) | (~v205(constB75))),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[32029, 32028])).
% 26.00/17.81 tff(32031,plain,
% 26.00/17.81 (~v205(constB75)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[32030, 24139, 32027])).
% 26.00/17.81 tff(32032,plain,
% 26.00/17.81 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB75) | v205(constB75) | (~v200(constB75)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB75) | v205(constB75) | (~v200(constB75)))),
% 26.00/17.81 inference(rewrite,[status(thm)],[])).
% 26.00/17.81 tff(32033,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB75) | v205(constB75) | (~v200(constB75)))),
% 26.00/17.81 inference(quant_inst,[status(thm)],[])).
% 26.00/17.81 tff(32034,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB75) | v205(constB75) | (~v200(constB75))),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[32033, 32032])).
% 26.00/17.81 tff(32035,plain,
% 26.00/17.81 (v201(constB75) | (~v200(constB75))),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[32034, 24153, 32031])).
% 26.00/17.81 tff(32036,plain,
% 26.00/17.81 (~v200(constB75)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[32035, 32010])).
% 26.00/17.81 tff(32037,plain,
% 26.00/17.81 ($false),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[32036, 31860])).
% 26.00/17.81 tff(32038,plain,(~(constB75 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.00/17.81 tff(32039,assumption,(constB39 = sK0_VarCurr), introduced(assumption)).
% 26.00/17.81 tff(32040,plain,
% 26.00/17.81 (v200(constB39) <=> v200(sK0_VarCurr)),
% 26.00/17.81 inference(monotonicity,[status(thm)],[32039])).
% 26.00/17.81 tff(32041,plain,
% 26.00/17.81 (v200(sK0_VarCurr) <=> v200(constB39)),
% 26.00/17.81 inference(symmetry,[status(thm)],[32040])).
% 26.00/17.81 tff(32042,plain,
% 26.00/17.81 (v200(constB39)),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[788, 32041])).
% 26.00/17.81 tff(32043,plain,
% 26.00/17.81 (~v90(constB39, bitIndex2)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[7351, 7126])).
% 26.00/17.81 tff(32044,plain,
% 26.00/17.81 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB39, bitIndex2)) | v90(constB39, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB39, bitIndex2)) | v90(constB39, bitIndex2))),
% 26.00/17.81 inference(rewrite,[status(thm)],[])).
% 26.00/17.81 tff(32045,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB39, bitIndex2)) | v90(constB39, bitIndex2))),
% 26.00/17.81 inference(quant_inst,[status(thm)],[])).
% 26.00/17.81 tff(32046,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB39, bitIndex2)) | v90(constB39, bitIndex2)),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[32045, 32044])).
% 26.00/17.81 tff(32047,plain,
% 26.00/17.81 (~v88(constB39, bitIndex2)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[32046, 28577, 32043])).
% 26.00/17.81 tff(32048,plain,
% 26.00/17.81 (~v90(constB39, bitIndex0)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[7155, 7104])).
% 26.00/17.81 tff(32049,plain,
% 26.00/17.81 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB39, bitIndex0)) | v90(constB39, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB39, bitIndex0)) | v90(constB39, bitIndex0))),
% 26.00/17.81 inference(rewrite,[status(thm)],[])).
% 26.00/17.81 tff(32050,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB39, bitIndex0)) | v90(constB39, bitIndex0))),
% 26.00/17.81 inference(quant_inst,[status(thm)],[])).
% 26.00/17.81 tff(32051,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB39, bitIndex0)) | v90(constB39, bitIndex0)),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[32050, 32049])).
% 26.00/17.81 tff(32052,plain,
% 26.00/17.81 (~v88(constB39, bitIndex0)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[32051, 23809, 32048])).
% 26.00/17.81 tff(32053,plain,
% 26.00/17.81 (v130(constB37, bitIndex1)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[7244, 2034, 6982])).
% 26.00/17.81 tff(32054,plain,
% 26.00/17.81 (v127(constB37, bitIndex1)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[7210, 32053])).
% 26.00/17.81 tff(32055,plain,
% 26.00/17.81 (v129(constB38, bitIndex1)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[7205, 32054])).
% 26.00/17.81 tff(32056,plain,
% 26.00/17.81 (v90(constB38, bitIndex1) | (~v100(constB38))),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[7199, 1583, 32055])).
% 26.00/17.81 tff(32057,plain,
% 26.00/17.81 (v90(constB38, bitIndex1)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[32056, 7071])).
% 26.00/17.81 tff(32058,plain,
% 26.00/17.81 (v90(constB39, bitIndex1)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[7337, 32057])).
% 26.00/17.81 tff(32059,plain,
% 26.00/17.81 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB39, bitIndex1)) | v88(constB39, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB39, bitIndex1)) | v88(constB39, bitIndex1))),
% 26.00/17.81 inference(rewrite,[status(thm)],[])).
% 26.00/17.81 tff(32060,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB39, bitIndex1)) | v88(constB39, bitIndex1))),
% 26.00/17.81 inference(quant_inst,[status(thm)],[])).
% 26.00/17.81 tff(32061,plain,
% 26.00/17.81 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB39, bitIndex1)) | v88(constB39, bitIndex1)),
% 26.00/17.81 inference(modus_ponens,[status(thm)],[32060, 32059])).
% 26.00/17.81 tff(32062,plain,
% 26.00/17.81 (v88(constB39, bitIndex1)),
% 26.00/17.81 inference(unit_resolution,[status(thm)],[32061, 28592, 32058])).
% 26.00/17.81 tff(32063,plain,
% 26.00/17.81 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB39, bitIndex1)) | v88(constB39, bitIndex2) | v88(constB39, bitIndex0) | v143(constB39))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex2) | v88(constB39, bitIndex0) | v143(constB39))),
% 26.10/17.81 inference(rewrite,[status(thm)],[])).
% 26.10/17.81 tff(32064,plain,
% 26.10/17.81 ((v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex0) | v143(constB39)) <=> ((~v88(constB39, bitIndex1)) | v88(constB39, bitIndex2) | v88(constB39, bitIndex0) | v143(constB39))),
% 26.10/17.81 inference(rewrite,[status(thm)],[])).
% 26.10/17.81 tff(32065,plain,
% 26.10/17.81 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex0) | v143(constB39))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB39, bitIndex1)) | v88(constB39, bitIndex2) | v88(constB39, bitIndex0) | v143(constB39)))),
% 26.10/17.81 inference(monotonicity,[status(thm)],[32064])).
% 26.10/17.81 tff(32066,plain,
% 26.10/17.81 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex0) | v143(constB39))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex2) | v88(constB39, bitIndex0) | v143(constB39))),
% 26.10/17.81 inference(transitivity,[status(thm)],[32065, 32063])).
% 26.10/17.81 tff(32067,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex0) | v143(constB39))),
% 26.10/17.81 inference(quant_inst,[status(thm)],[])).
% 26.10/17.81 tff(32068,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex2) | v88(constB39, bitIndex0) | v143(constB39)),
% 26.10/17.81 inference(modus_ponens,[status(thm)],[32067, 32066])).
% 26.10/17.81 tff(32069,plain,
% 26.10/17.81 (v143(constB39)),
% 26.10/17.81 inference(unit_resolution,[status(thm)],[32068, 28606, 32062, 32052, 32047])).
% 26.10/17.81 tff(32070,plain,
% 26.10/17.81 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB39)) | v142(constB39))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB39)) | v142(constB39))),
% 26.10/17.81 inference(rewrite,[status(thm)],[])).
% 26.10/17.81 tff(32071,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB39)) | v142(constB39))),
% 26.10/17.81 inference(quant_inst,[status(thm)],[])).
% 26.10/17.81 tff(32072,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB39)) | v142(constB39)),
% 26.10/17.81 inference(modus_ponens,[status(thm)],[32071, 32070])).
% 26.10/17.81 tff(32073,plain,
% 26.10/17.81 (v142(constB39)),
% 26.10/17.81 inference(unit_resolution,[status(thm)],[32072, 28620, 32069])).
% 26.10/17.81 tff(32074,plain,
% 26.10/17.81 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB39)) | v148(constB39))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB39)) | v148(constB39))),
% 26.10/17.81 inference(rewrite,[status(thm)],[])).
% 26.10/17.81 tff(32075,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB39)) | v148(constB39))),
% 26.10/17.81 inference(quant_inst,[status(thm)],[])).
% 26.10/17.81 tff(32076,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB39)) | v148(constB39)),
% 26.10/17.81 inference(modus_ponens,[status(thm)],[32075, 32074])).
% 26.10/17.81 tff(32077,plain,
% 26.10/17.81 (v148(constB39)),
% 26.10/17.81 inference(unit_resolution,[status(thm)],[32076, 29217, 32073])).
% 26.10/17.81 tff(32078,plain,
% 26.10/17.81 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB39)) | v167(constB39))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB39)) | v167(constB39))),
% 26.10/17.81 inference(rewrite,[status(thm)],[])).
% 26.10/17.81 tff(32079,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB39)) | v167(constB39))),
% 26.10/17.81 inference(quant_inst,[status(thm)],[])).
% 26.10/17.81 tff(32080,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB39)) | v167(constB39)),
% 26.10/17.81 inference(modus_ponens,[status(thm)],[32079, 32078])).
% 26.10/17.81 tff(32081,plain,
% 26.10/17.81 (v167(constB39)),
% 26.10/17.81 inference(unit_resolution,[status(thm)],[32080, 28631, 32073])).
% 26.10/17.81 tff(32082,plain,
% 26.10/17.81 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB39) | (~v167(constB39)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB39) | (~v167(constB39)))),
% 26.10/17.81 inference(rewrite,[status(thm)],[])).
% 26.10/17.81 tff(32083,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB39) | (~v167(constB39)))),
% 26.10/17.81 inference(quant_inst,[status(thm)],[])).
% 26.10/17.81 tff(32084,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB39) | (~v167(constB39))),
% 26.10/17.81 inference(modus_ponens,[status(thm)],[32083, 32082])).
% 26.10/17.81 tff(32085,plain,
% 26.10/17.81 (v166(constB39)),
% 26.10/17.81 inference(unit_resolution,[status(thm)],[32084, 28645, 32081])).
% 26.10/17.81 tff(32086,plain,
% 26.10/17.81 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB39) | (~v148(constB39)) | (~v166(constB39)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB39) | (~v148(constB39)) | (~v166(constB39)))),
% 26.10/17.81 inference(rewrite,[status(thm)],[])).
% 26.10/17.81 tff(32087,plain,
% 26.10/17.81 (((~v148(constB39)) | v86(constB39) | (~v166(constB39))) <=> (v86(constB39) | (~v148(constB39)) | (~v166(constB39)))),
% 26.10/17.81 inference(rewrite,[status(thm)],[])).
% 26.10/17.81 tff(32088,plain,
% 26.10/17.81 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB39)) | v86(constB39) | (~v166(constB39)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB39) | (~v148(constB39)) | (~v166(constB39))))),
% 26.10/17.81 inference(monotonicity,[status(thm)],[32087])).
% 26.10/17.81 tff(32089,plain,
% 26.10/17.81 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB39)) | v86(constB39) | (~v166(constB39)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB39) | (~v148(constB39)) | (~v166(constB39)))),
% 26.10/17.81 inference(transitivity,[status(thm)],[32088, 32086])).
% 26.10/17.81 tff(32090,plain,
% 26.10/17.81 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB39)) | v86(constB39) | (~v166(constB39)))),
% 26.10/17.81 inference(quant_inst,[status(thm)],[])).
% 26.10/17.81 tff(32091,plain,
% 26.10/17.81 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB39) | (~v148(constB39)) | (~v166(constB39))),
% 26.10/17.81 inference(modus_ponens,[status(thm)],[32090, 32089])).
% 26.10/17.81 tff(32092,plain,
% 26.10/17.81 (v86(constB39)),
% 26.10/17.81 inference(unit_resolution,[status(thm)],[32091, 29242, 32085, 32077])).
% 26.10/17.81 tff(32093,plain,
% 26.10/17.81 (((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | ((~v203(constB39)) | (~v86(constB39)))) <=> ((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | (~v203(constB39)) | (~v86(constB39)))),
% 26.10/17.81 inference(rewrite,[status(thm)],[])).
% 26.10/17.81 tff(32094,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | ((~v203(constB39)) | (~v86(constB39)))),
% 26.10/17.81 inference(quant_inst,[status(thm)],[])).
% 26.10/17.81 tff(32095,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | (~v203(constB39)) | (~v86(constB39))),
% 26.10/17.81 inference(modus_ponens,[status(thm)],[32094, 32093])).
% 26.10/17.81 tff(32096,plain,
% 26.10/17.81 (~v203(constB39)),
% 26.10/17.81 inference(unit_resolution,[status(thm)],[32095, 29256, 32092])).
% 26.10/17.81 tff(32097,plain,
% 26.10/17.81 (((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | (v203(constB39) | (~v202(constB39)))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | v203(constB39) | (~v202(constB39)))),
% 26.10/17.81 inference(rewrite,[status(thm)],[])).
% 26.10/17.81 tff(32098,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | (v203(constB39) | (~v202(constB39)))),
% 26.10/17.81 inference(quant_inst,[status(thm)],[])).
% 26.10/17.81 tff(32099,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | v203(constB39) | (~v202(constB39))),
% 26.10/17.81 inference(modus_ponens,[status(thm)],[32098, 32097])).
% 26.10/17.81 tff(32100,plain,
% 26.10/17.81 (~v202(constB39)),
% 26.10/17.81 inference(unit_resolution,[status(thm)],[32099, 29270, 32096])).
% 26.10/17.81 tff(32101,plain,
% 26.10/17.81 (((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | (v202(constB39) | (~v201(constB39)))) <=> ((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | v202(constB39) | (~v201(constB39)))),
% 26.10/17.81 inference(rewrite,[status(thm)],[])).
% 26.10/17.81 tff(32102,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | (v202(constB39) | (~v201(constB39)))),
% 26.10/17.81 inference(quant_inst,[status(thm)],[])).
% 26.10/17.81 tff(32103,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | v202(constB39) | (~v201(constB39))),
% 26.10/17.81 inference(modus_ponens,[status(thm)],[32102, 32101])).
% 26.10/17.81 tff(32104,plain,
% 26.10/17.81 (~v201(constB39)),
% 26.10/17.81 inference(unit_resolution,[status(thm)],[32103, 29284, 32100])).
% 26.10/17.81 tff(32105,plain,
% 26.10/17.81 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB38)) | (~v185(constB38)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB38)) | (~v185(constB38)))),
% 26.10/17.81 inference(rewrite,[status(thm)],[])).
% 26.10/17.81 tff(32106,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB38)) | (~v185(constB38)))),
% 26.10/17.81 inference(quant_inst,[status(thm)],[])).
% 26.10/17.81 tff(32107,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB38)) | (~v185(constB38))),
% 26.10/17.81 inference(modus_ponens,[status(thm)],[32106, 32105])).
% 26.10/17.81 tff(32108,plain,
% 26.10/17.81 (~v185(constB38)),
% 26.10/17.81 inference(unit_resolution,[status(thm)],[32107, 24010, 7057])).
% 26.10/17.81 tff(32109,plain,
% 26.10/17.81 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB38) | (~v184(constB38)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB38) | (~v184(constB38)))),
% 26.10/17.81 inference(rewrite,[status(thm)],[])).
% 26.10/17.81 tff(32110,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB38) | (~v184(constB38)))),
% 26.10/17.81 inference(quant_inst,[status(thm)],[])).
% 26.10/17.81 tff(32111,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB38) | (~v184(constB38))),
% 26.10/17.81 inference(modus_ponens,[status(thm)],[32110, 32109])).
% 26.10/17.81 tff(32112,plain,
% 26.10/17.81 (~v184(constB38)),
% 26.10/17.81 inference(unit_resolution,[status(thm)],[32111, 24024, 32108])).
% 26.10/17.81 tff(32113,plain,
% 26.10/17.81 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB38) | (~v180(constB38)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB38) | (~v180(constB38)))),
% 26.10/17.81 inference(rewrite,[status(thm)],[])).
% 26.10/17.81 tff(32114,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB38) | (~v180(constB38)))),
% 26.10/17.81 inference(quant_inst,[status(thm)],[])).
% 26.10/17.81 tff(32115,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB38) | (~v180(constB38))),
% 26.10/17.81 inference(modus_ponens,[status(thm)],[32114, 32113])).
% 26.10/17.81 tff(32116,plain,
% 26.10/17.81 (~v180(constB38)),
% 26.10/17.81 inference(unit_resolution,[status(thm)],[32115, 23899, 32112])).
% 26.10/17.81 tff(32117,plain,
% 26.10/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB38, constB39)) | v180(constB38) | (~v182(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB38, constB39)) | v180(constB38) | (~v182(constB39)))),
% 26.10/17.81 inference(rewrite,[status(thm)],[])).
% 26.10/17.81 tff(32118,plain,
% 26.10/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB38, constB39)) | v180(constB38) | (~v182(constB39)))),
% 26.10/17.81 inference(quant_inst,[status(thm)],[])).
% 26.10/17.81 tff(32119,plain,
% 26.10/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB38, constB39)) | v180(constB38) | (~v182(constB39))),
% 26.10/17.81 inference(modus_ponens,[status(thm)],[32118, 32117])).
% 26.10/17.81 tff(32120,plain,
% 26.10/17.81 (v180(constB38) | (~v182(constB39))),
% 26.10/17.81 inference(unit_resolution,[status(thm)],[32119, 23916, 7135])).
% 26.10/17.81 tff(32121,plain,
% 26.10/17.81 (~v182(constB39)),
% 26.10/17.81 inference(unit_resolution,[status(thm)],[32120, 32116])).
% 26.10/17.81 tff(32122,plain,
% 26.10/17.81 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB39) | (~v205(constB39)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB39) | (~v205(constB39)))),
% 26.10/17.81 inference(rewrite,[status(thm)],[])).
% 26.10/17.81 tff(32123,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB39) | (~v205(constB39)))),
% 26.10/17.81 inference(quant_inst,[status(thm)],[])).
% 26.10/17.81 tff(32124,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB39) | (~v205(constB39))),
% 26.10/17.81 inference(modus_ponens,[status(thm)],[32123, 32122])).
% 26.10/17.81 tff(32125,plain,
% 26.10/17.81 (~v205(constB39)),
% 26.10/17.81 inference(unit_resolution,[status(thm)],[32124, 24139, 32121])).
% 26.10/17.81 tff(32126,plain,
% 26.10/17.81 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB39) | v205(constB39) | (~v200(constB39)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB39) | v205(constB39) | (~v200(constB39)))),
% 26.10/17.81 inference(rewrite,[status(thm)],[])).
% 26.10/17.81 tff(32127,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB39) | v205(constB39) | (~v200(constB39)))),
% 26.10/17.81 inference(quant_inst,[status(thm)],[])).
% 26.10/17.81 tff(32128,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB39) | v205(constB39) | (~v200(constB39))),
% 26.10/17.81 inference(modus_ponens,[status(thm)],[32127, 32126])).
% 26.10/17.81 tff(32129,plain,
% 26.10/17.81 (v201(constB39) | (~v200(constB39))),
% 26.10/17.81 inference(unit_resolution,[status(thm)],[32128, 24153, 32125])).
% 26.10/17.81 tff(32130,plain,
% 26.10/17.81 (~v200(constB39)),
% 26.10/17.81 inference(unit_resolution,[status(thm)],[32129, 32104])).
% 26.10/17.81 tff(32131,plain,
% 26.10/17.81 ($false),
% 26.10/17.81 inference(unit_resolution,[status(thm)],[32130, 32042])).
% 26.10/17.81 tff(32132,plain,(~(constB39 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.10/17.81 tff(32133,assumption,(constB87 = sK0_VarCurr), introduced(assumption)).
% 26.10/17.81 tff(32134,plain,
% 26.10/17.81 (v200(constB87) <=> v200(sK0_VarCurr)),
% 26.10/17.81 inference(monotonicity,[status(thm)],[32133])).
% 26.10/17.81 tff(32135,plain,
% 26.10/17.81 (v200(sK0_VarCurr) <=> v200(constB87)),
% 26.10/17.81 inference(symmetry,[status(thm)],[32134])).
% 26.10/17.81 tff(32136,plain,
% 26.10/17.81 (v200(constB87)),
% 26.10/17.81 inference(modus_ponens,[status(thm)],[788, 32135])).
% 26.10/17.81 tff(32137,plain,
% 26.10/17.81 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB85, bitIndex0)) | v90(constB85, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB85, bitIndex0)) | v90(constB85, bitIndex0))),
% 26.10/17.81 inference(rewrite,[status(thm)],[])).
% 26.10/17.81 tff(32138,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB85, bitIndex0)) | v90(constB85, bitIndex0))),
% 26.10/17.81 inference(quant_inst,[status(thm)],[])).
% 26.10/17.81 tff(32139,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB85, bitIndex0)) | v90(constB85, bitIndex0)),
% 26.10/17.81 inference(modus_ponens,[status(thm)],[32138, 32137])).
% 26.10/17.81 tff(32140,plain,
% 26.10/17.81 (~v88(constB85, bitIndex0)),
% 26.10/17.81 inference(unit_resolution,[status(thm)],[32139, 23809, 15308])).
% 26.10/17.81 tff(32141,plain,
% 26.10/17.81 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2))),
% 26.10/17.81 inference(rewrite,[status(thm)],[])).
% 26.10/17.81 tff(32142,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2))),
% 26.10/17.81 inference(quant_inst,[status(thm)],[])).
% 26.10/17.81 tff(32143,plain,
% 26.10/17.81 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2)),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32142, 32141])).
% 26.10/17.82 tff(32144,plain,
% 26.10/17.82 (v88(constB85, bitIndex2)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32143, 23683, 15243])).
% 26.10/17.82 tff(32145,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32146,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32147,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1)),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32146, 32145])).
% 26.10/17.82 tff(32148,plain,
% 26.10/17.82 (v88(constB85, bitIndex1)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32147, 28592, 15274])).
% 26.10/17.82 tff(32149,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32150,plain,
% 26.10/17.82 (((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85)) <=> (v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32151,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85)))),
% 26.10/17.82 inference(monotonicity,[status(thm)],[32150])).
% 26.10/17.82 tff(32152,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85))),
% 26.10/17.82 inference(transitivity,[status(thm)],[32151, 32149])).
% 26.10/17.82 tff(32153,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32154,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85)),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32153, 32152])).
% 26.10/17.82 tff(32155,plain,
% 26.10/17.82 (v144(constB85)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32154, 30257, 32148, 32144, 32140])).
% 26.10/17.82 tff(32156,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (v142(constB85) | (~v144(constB85)))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB85) | (~v144(constB85)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32157,plain,
% 26.10/17.82 (((~v144(constB85)) | v142(constB85)) <=> (v142(constB85) | (~v144(constB85)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32158,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB85)) | v142(constB85))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (v142(constB85) | (~v144(constB85))))),
% 26.10/17.82 inference(monotonicity,[status(thm)],[32157])).
% 26.10/17.82 tff(32159,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB85)) | v142(constB85))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB85) | (~v144(constB85)))),
% 26.10/17.82 inference(transitivity,[status(thm)],[32158, 32156])).
% 26.10/17.82 tff(32160,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB85)) | v142(constB85))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32161,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB85) | (~v144(constB85))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32160, 32159])).
% 26.10/17.82 tff(32162,plain,
% 26.10/17.82 (v142(constB85)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32161, 30271, 32155])).
% 26.10/17.82 tff(32163,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (v167(constB85) | (~v142(constB85)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB85) | (~v142(constB85)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32164,plain,
% 26.10/17.82 (((~v142(constB85)) | v167(constB85)) <=> (v167(constB85) | (~v142(constB85)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32165,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB85)) | v167(constB85))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (v167(constB85) | (~v142(constB85))))),
% 26.10/17.82 inference(monotonicity,[status(thm)],[32164])).
% 26.10/17.82 tff(32166,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB85)) | v167(constB85))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB85) | (~v142(constB85)))),
% 26.10/17.82 inference(transitivity,[status(thm)],[32165, 32163])).
% 26.10/17.82 tff(32167,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB85)) | v167(constB85))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32168,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB85) | (~v142(constB85))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32167, 32166])).
% 26.10/17.82 tff(32169,plain,
% 26.10/17.82 (v167(constB85)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32168, 28631, 32162])).
% 26.10/17.82 tff(32170,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB85) | (~v167(constB85)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB85) | (~v167(constB85)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32171,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB85) | (~v167(constB85)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32172,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB85) | (~v167(constB85))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32171, 32170])).
% 26.10/17.82 tff(32173,plain,
% 26.10/17.82 (v166(constB85)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32172, 28645, 32169])).
% 26.10/17.82 tff(32174,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v139(constB85)) | (~v88(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v139(constB85)) | (~v88(constB85, bitIndex1)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32175,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v139(constB85)) | (~v88(constB85, bitIndex1)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32176,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v139(constB85)) | (~v88(constB85, bitIndex1))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32175, 32174])).
% 26.10/17.82 tff(32177,plain,
% 26.10/17.82 (~v139(constB85)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32176, 28656, 32148])).
% 26.10/17.82 tff(32178,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB85)) | (~v88(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB85)) | (~v88(constB85, bitIndex1)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32179,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB85)) | (~v88(constB85, bitIndex1)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32180,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB85)) | (~v88(constB85, bitIndex1))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32179, 32178])).
% 26.10/17.82 tff(32181,plain,
% 26.10/17.82 (~v140(constB85)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32180, 28667, 32148])).
% 26.10/17.82 tff(32182,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB85) | v140(constB85) | (~v170(constB85)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB85) | v140(constB85) | (~v170(constB85)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32183,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB85) | v140(constB85) | (~v170(constB85)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32184,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB85) | v140(constB85) | (~v170(constB85))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32183, 32182])).
% 26.10/17.82 tff(32185,plain,
% 26.10/17.82 (~v170(constB85)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32184, 23719, 32181, 32177])).
% 26.10/17.82 tff(32186,plain,
% 26.10/17.82 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB85)) | v170(constB85) | (~v166(constB85)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB85)) | v170(constB85) | (~v166(constB85)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32187,plain,
% 26.10/17.82 (((~v166(constB85)) | v170(constB85) | (~v163(constB85))) <=> ((~v163(constB85)) | v170(constB85) | (~v166(constB85)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32188,plain,
% 26.10/17.82 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB85)) | v170(constB85) | (~v163(constB85)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB85)) | v170(constB85) | (~v166(constB85))))),
% 26.10/17.82 inference(monotonicity,[status(thm)],[32187])).
% 26.10/17.82 tff(32189,plain,
% 26.10/17.82 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB85)) | v170(constB85) | (~v163(constB85)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB85)) | v170(constB85) | (~v166(constB85)))),
% 26.10/17.82 inference(transitivity,[status(thm)],[32188, 32186])).
% 26.10/17.82 tff(32190,plain,
% 26.10/17.82 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB85)) | v170(constB85) | (~v163(constB85)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32191,plain,
% 26.10/17.82 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB85)) | v170(constB85) | (~v166(constB85))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32190, 32189])).
% 26.10/17.82 tff(32192,plain,
% 26.10/17.82 ((~v163(constB85)) | (~v166(constB85))),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32191, 23868, 32185])).
% 26.10/17.82 tff(32193,plain,
% 26.10/17.82 (~v163(constB85)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32192, 32173])).
% 26.10/17.82 tff(32194,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB85) | (~v184(constB85)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB85) | (~v184(constB85)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32195,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB85) | (~v184(constB85)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32196,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB85) | (~v184(constB85))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32195, 32194])).
% 26.10/17.82 tff(32197,plain,
% 26.10/17.82 (~v184(constB85)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32196, 23885, 32193])).
% 26.10/17.82 tff(32198,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB85) | (~v180(constB85)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB85) | (~v180(constB85)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32199,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB85) | (~v180(constB85)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32200,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB85) | (~v180(constB85))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32199, 32198])).
% 26.10/17.82 tff(32201,plain,
% 26.10/17.82 (~v180(constB85)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32200, 23899, 32197])).
% 26.10/17.82 tff(32202,plain,
% 26.10/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB85, constB86)) | v180(constB85) | (~v182(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB85, constB86)) | v180(constB85) | (~v182(constB86)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32203,plain,
% 26.10/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB85, constB86)) | v180(constB85) | (~v182(constB86)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32204,plain,
% 26.10/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB85, constB86)) | v180(constB85) | (~v182(constB86))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32203, 32202])).
% 26.10/17.82 tff(32205,plain,
% 26.10/17.82 (v180(constB85) | (~v182(constB86))),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32204, 23916, 15341])).
% 26.10/17.82 tff(32206,plain,
% 26.10/17.82 (~v182(constB86)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32205, 32201])).
% 26.10/17.82 tff(32207,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB86) | (~v196(constB86)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB86) | (~v196(constB86)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32208,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB86) | (~v196(constB86)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32209,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB86) | (~v196(constB86))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32208, 32207])).
% 26.10/17.82 tff(32210,plain,
% 26.10/17.82 (~v196(constB86)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32209, 23931, 32206])).
% 26.10/17.82 tff(32211,assumption,(v18(constB86)), introduced(assumption)).
% 26.10/17.82 tff(32212,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB86))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32213,plain,
% 26.10/17.82 ($false),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32212, 16985, 32211])).
% 26.10/17.82 tff(32214,plain,(~v18(constB86)), inference(lemma,lemma(discharge,[]))).
% 26.10/17.82 tff(32215,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB86) | (~v1(constB86)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB86) | (~v1(constB86)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32216,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB86) | (~v1(constB86)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32217,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB86) | (~v1(constB86))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32216, 32215])).
% 26.10/17.82 tff(32218,plain,
% 26.10/17.82 (v22(constB86)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32217, 16998, 636])).
% 26.10/17.82 tff(32219,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB86) | (~v22(constB86)) | (~v19(constB86)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB86) | (~v22(constB86)) | (~v19(constB86)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32220,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB86) | (~v22(constB86)) | (~v19(constB86)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32221,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB86) | (~v22(constB86)) | (~v19(constB86))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32220, 32219])).
% 26.10/17.82 tff(32222,plain,
% 26.10/17.82 (v18(constB86) | (~v19(constB86))),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32221, 17012, 32218])).
% 26.10/17.82 tff(32223,plain,
% 26.10/17.82 (~v19(constB86)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32222, 32214])).
% 26.10/17.82 tff(32224,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB86) | v19(constB86))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB86) | v19(constB86))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32225,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB86) | v19(constB86))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32226,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB86) | v19(constB86)),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32225, 32224])).
% 26.10/17.82 tff(32227,plain,
% 26.10/17.82 (v13(constB86)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32226, 17024, 32223])).
% 26.10/17.82 tff(32228,plain,
% 26.10/17.82 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB85) | (~v13(constB86)) | (~nextState(constB85, constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB85) | (~v13(constB86)) | (~nextState(constB85, constB86)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32229,plain,
% 26.10/17.82 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB85) | (~v13(constB86)) | (~nextState(constB85, constB86)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32230,plain,
% 26.10/17.82 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB85) | (~v13(constB86)) | (~nextState(constB85, constB86))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32229, 32228])).
% 26.10/17.82 tff(32231,plain,
% 26.10/17.82 (v9(constB85) | (~v13(constB86))),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32230, 17041, 15341])).
% 26.10/17.82 tff(32232,plain,
% 26.10/17.82 (v9(constB85)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32231, 32227])).
% 26.10/17.82 tff(32233,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB85) | (~v9(constB85)) | v185(constB85))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB85) | (~v9(constB85)) | v185(constB85))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32234,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB85) | (~v9(constB85)) | v185(constB85))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32235,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB85) | (~v9(constB85)) | v185(constB85)),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32234, 32233])).
% 26.10/17.82 tff(32236,plain,
% 26.10/17.82 ((~v9(constB85)) | v185(constB85)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32235, 23970, 15219])).
% 26.10/17.82 tff(32237,plain,
% 26.10/17.82 (v185(constB85)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32236, 32232])).
% 26.10/17.82 tff(32238,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB85)) | v195(constB85))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (~v185(constB85)) | v195(constB85))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32239,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB85)) | v195(constB85))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32240,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (~v185(constB85)) | v195(constB85)),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32239, 32238])).
% 26.10/17.82 tff(32241,plain,
% 26.10/17.82 (v195(constB85)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32240, 23982, 32237])).
% 26.10/17.82 tff(32242,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB85)) | (~v195(constB85)))) <=> ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB85)) | (~v195(constB85)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32243,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB85)) | (~v195(constB85)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32244,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB85)) | (~v195(constB85))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32243, 32242])).
% 26.10/17.82 tff(32245,plain,
% 26.10/17.82 (~v193(constB85)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32244, 23996, 32241])).
% 26.10/17.82 tff(32246,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB84)) | (~v185(constB84)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB84)) | (~v185(constB84)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32247,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB84)) | (~v185(constB84)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32248,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB84)) | (~v185(constB84))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32247, 32246])).
% 26.10/17.82 tff(32249,plain,
% 26.10/17.82 (~v185(constB84)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32248, 24010, 15180])).
% 26.10/17.82 tff(32250,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB84) | (~v184(constB84)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB84) | (~v184(constB84)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32251,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB84) | (~v184(constB84)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32252,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB84) | (~v184(constB84))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32251, 32250])).
% 26.10/17.82 tff(32253,plain,
% 26.10/17.82 (~v184(constB84)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32252, 24024, 32249])).
% 26.10/17.82 tff(32254,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB84) | (~v180(constB84)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB84) | (~v180(constB84)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32255,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB84) | (~v180(constB84)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32256,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB84) | (~v180(constB84))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32255, 32254])).
% 26.10/17.82 tff(32257,plain,
% 26.10/17.82 (~v180(constB84)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32256, 23899, 32253])).
% 26.10/17.82 tff(32258,plain,
% 26.10/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB84, constB85)) | v180(constB84) | (~v182(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB84, constB85)) | v180(constB84) | (~v182(constB85)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32259,plain,
% 26.10/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB84, constB85)) | v180(constB84) | (~v182(constB85)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32260,plain,
% 26.10/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB84, constB85)) | v180(constB84) | (~v182(constB85))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32259, 32258])).
% 26.10/17.82 tff(32261,plain,
% 26.10/17.82 (v180(constB84) | (~v182(constB85))),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32260, 23916, 15222])).
% 26.10/17.82 tff(32262,plain,
% 26.10/17.82 (~v182(constB85)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32261, 32257])).
% 26.10/17.82 tff(32263,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB85) | (~v196(constB85)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB85) | (~v196(constB85)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32264,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB85) | (~v196(constB85)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32265,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB85) | (~v196(constB85))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32264, 32263])).
% 26.10/17.82 tff(32266,plain,
% 26.10/17.82 (~v196(constB85)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32265, 23931, 32262])).
% 26.10/17.82 tff(32267,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB85) | v196(constB85) | (~v190(constB85)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB85) | v196(constB85) | (~v190(constB85)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32268,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB85) | v196(constB85) | (~v190(constB85)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32269,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB85) | v196(constB85) | (~v190(constB85))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32268, 32267])).
% 26.10/17.82 tff(32270,plain,
% 26.10/17.82 (v193(constB85) | (~v190(constB85))),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32269, 24051, 32266])).
% 26.10/17.82 tff(32271,plain,
% 26.10/17.82 (~v190(constB85)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32270, 32245])).
% 26.10/17.82 tff(32272,plain,
% 26.10/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB85, constB86)) | v190(constB85) | (~v192(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB85, constB86)) | v190(constB85) | (~v192(constB86)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32273,plain,
% 26.10/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB85, constB86)) | v190(constB85) | (~v192(constB86)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32274,plain,
% 26.10/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB85, constB86)) | v190(constB85) | (~v192(constB86))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32273, 32272])).
% 26.10/17.82 tff(32275,plain,
% 26.10/17.82 (v190(constB85) | (~v192(constB86))),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32274, 24066, 15341])).
% 26.10/17.82 tff(32276,plain,
% 26.10/17.82 (~v192(constB86)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32275, 32271])).
% 26.10/17.82 tff(32277,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB86) | (~v193(constB86)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB86) | (~v193(constB86)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32278,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB86) | (~v193(constB86)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32279,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB86) | (~v193(constB86))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32278, 32277])).
% 26.10/17.82 tff(32280,plain,
% 26.10/17.82 (~v193(constB86)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32279, 24081, 32276])).
% 26.10/17.82 tff(32281,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB86) | v196(constB86) | (~v190(constB86)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB86) | v196(constB86) | (~v190(constB86)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32282,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB86) | v196(constB86) | (~v190(constB86)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32283,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB86) | v196(constB86) | (~v190(constB86))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32282, 32281])).
% 26.10/17.82 tff(32284,plain,
% 26.10/17.82 (v196(constB86) | (~v190(constB86))),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32283, 24051, 32280])).
% 26.10/17.82 tff(32285,plain,
% 26.10/17.82 (~v190(constB86)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32284, 32210])).
% 26.10/17.82 tff(32286,plain,
% 26.10/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB86, constB87)) | v190(constB86) | (~v192(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB86, constB87)) | v190(constB86) | (~v192(constB87)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32287,plain,
% 26.10/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB86, constB87)) | v190(constB86) | (~v192(constB87)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32288,plain,
% 26.10/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB86, constB87)) | v190(constB86) | (~v192(constB87))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32287, 32286])).
% 26.10/17.82 tff(32289,plain,
% 26.10/17.82 (v190(constB86) | (~v192(constB87))),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32288, 24066, 15432])).
% 26.10/17.82 tff(32290,plain,
% 26.10/17.82 (~v192(constB87)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32289, 32285])).
% 26.10/17.82 tff(32291,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB87) | (~v201(constB87)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB87) | (~v201(constB87)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32292,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB87) | (~v201(constB87)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32293,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB87) | (~v201(constB87))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32292, 32291])).
% 26.10/17.82 tff(32294,plain,
% 26.10/17.82 (~v201(constB87)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32293, 24108, 32290])).
% 26.10/17.82 tff(32295,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB86)) | (~v185(constB86)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB86)) | (~v185(constB86)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32296,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB86)) | (~v185(constB86)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32297,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB86)) | (~v185(constB86))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32296, 32295])).
% 26.10/17.82 tff(32298,plain,
% 26.10/17.82 (~v185(constB86)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32297, 24010, 636])).
% 26.10/17.82 tff(32299,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB86) | (~v184(constB86)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB86) | (~v184(constB86)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32300,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB86) | (~v184(constB86)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32301,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB86) | (~v184(constB86))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32300, 32299])).
% 26.10/17.82 tff(32302,plain,
% 26.10/17.82 (~v184(constB86)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32301, 24024, 32298])).
% 26.10/17.82 tff(32303,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB86) | (~v180(constB86)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB86) | (~v180(constB86)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32304,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB86) | (~v180(constB86)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32305,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB86) | (~v180(constB86))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32304, 32303])).
% 26.10/17.82 tff(32306,plain,
% 26.10/17.82 (~v180(constB86)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32305, 23899, 32302])).
% 26.10/17.82 tff(32307,plain,
% 26.10/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB86, constB87)) | v180(constB86) | (~v182(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB86, constB87)) | v180(constB86) | (~v182(constB87)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32308,plain,
% 26.10/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB86, constB87)) | v180(constB86) | (~v182(constB87)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32309,plain,
% 26.10/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB86, constB87)) | v180(constB86) | (~v182(constB87))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32308, 32307])).
% 26.10/17.82 tff(32310,plain,
% 26.10/17.82 (v180(constB86) | (~v182(constB87))),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32309, 23916, 15432])).
% 26.10/17.82 tff(32311,plain,
% 26.10/17.82 (~v182(constB87)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32310, 32306])).
% 26.10/17.82 tff(32312,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB87) | (~v205(constB87)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB87) | (~v205(constB87)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32313,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB87) | (~v205(constB87)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32314,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB87) | (~v205(constB87))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32313, 32312])).
% 26.10/17.82 tff(32315,plain,
% 26.10/17.82 (~v205(constB87)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32314, 24139, 32311])).
% 26.10/17.82 tff(32316,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB87) | v205(constB87) | (~v200(constB87)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB87) | v205(constB87) | (~v200(constB87)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32317,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB87) | v205(constB87) | (~v200(constB87)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32318,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB87) | v205(constB87) | (~v200(constB87))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32317, 32316])).
% 26.10/17.82 tff(32319,plain,
% 26.10/17.82 (v201(constB87) | (~v200(constB87))),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32318, 24153, 32315])).
% 26.10/17.82 tff(32320,plain,
% 26.10/17.82 (~v200(constB87)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32319, 32294])).
% 26.10/17.82 tff(32321,plain,
% 26.10/17.82 ($false),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32320, 32136])).
% 26.10/17.82 tff(32322,plain,(~(constB87 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.10/17.82 tff(32323,assumption,(constB91 = sK0_VarCurr), introduced(assumption)).
% 26.10/17.82 tff(32324,plain,
% 26.10/17.82 (v200(constB91) <=> v200(sK0_VarCurr)),
% 26.10/17.82 inference(monotonicity,[status(thm)],[32323])).
% 26.10/17.82 tff(32325,plain,
% 26.10/17.82 (v200(sK0_VarCurr) <=> v200(constB91)),
% 26.10/17.82 inference(symmetry,[status(thm)],[32324])).
% 26.10/17.82 tff(32326,plain,
% 26.10/17.82 (v200(constB91)),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[788, 32325])).
% 26.10/17.82 tff(32327,assumption,(v18(constB90)), introduced(assumption)).
% 26.10/17.82 tff(32328,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB90))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32329,plain,
% 26.10/17.82 ($false),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32328, 16985, 32327])).
% 26.10/17.82 tff(32330,plain,(~v18(constB90)), inference(lemma,lemma(discharge,[]))).
% 26.10/17.82 tff(32331,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB90) | (~v1(constB90)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB90) | (~v1(constB90)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32332,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB90) | (~v1(constB90)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32333,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB90) | (~v1(constB90))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32332, 32331])).
% 26.10/17.82 tff(32334,plain,
% 26.10/17.82 (v22(constB90)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32333, 16998, 108])).
% 26.10/17.82 tff(32335,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB90) | (~v22(constB90)) | (~v19(constB90)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB90) | (~v22(constB90)) | (~v19(constB90)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32336,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB90) | (~v22(constB90)) | (~v19(constB90)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32337,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB90) | (~v22(constB90)) | (~v19(constB90))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32336, 32335])).
% 26.10/17.82 tff(32338,plain,
% 26.10/17.82 (v18(constB90) | (~v19(constB90))),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32337, 17012, 32334])).
% 26.10/17.82 tff(32339,plain,
% 26.10/17.82 (~v19(constB90)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32338, 32330])).
% 26.10/17.82 tff(32340,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB90) | v19(constB90))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB90) | v19(constB90))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32341,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB90) | v19(constB90))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32342,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB90) | v19(constB90)),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32341, 32340])).
% 26.10/17.82 tff(32343,plain,
% 26.10/17.82 (v13(constB90)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32342, 17024, 32339])).
% 26.10/17.82 tff(32344,plain,
% 26.10/17.82 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB89) | (~v13(constB90)) | (~nextState(constB89, constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB89) | (~v13(constB90)) | (~nextState(constB89, constB90)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32345,plain,
% 26.10/17.82 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB89) | (~v13(constB90)) | (~nextState(constB89, constB90)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32346,plain,
% 26.10/17.82 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB89) | (~v13(constB90)) | (~nextState(constB89, constB90))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32345, 32344])).
% 26.10/17.82 tff(32347,plain,
% 26.10/17.82 (v9(constB89) | (~v13(constB90))),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32346, 17041, 15799])).
% 26.10/17.82 tff(32348,plain,
% 26.10/17.82 (v9(constB89)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32347, 32343])).
% 26.10/17.82 tff(32349,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB89) | (~v9(constB89)) | v185(constB89))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB89) | (~v9(constB89)) | v185(constB89))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32350,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB89) | (~v9(constB89)) | v185(constB89))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32351,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB89) | (~v9(constB89)) | v185(constB89)),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32350, 32349])).
% 26.10/17.82 tff(32352,plain,
% 26.10/17.82 ((~v9(constB89)) | v185(constB89)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32351, 23970, 15655])).
% 26.10/17.82 tff(32353,plain,
% 26.10/17.82 (v185(constB89)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32352, 32348])).
% 26.10/17.82 tff(32354,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (v195(constB89) | (~v185(constB89)))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB89) | (~v185(constB89)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32355,plain,
% 26.10/17.82 (((~v185(constB89)) | v195(constB89)) <=> (v195(constB89) | (~v185(constB89)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32356,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB89)) | v195(constB89))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (v195(constB89) | (~v185(constB89))))),
% 26.10/17.82 inference(monotonicity,[status(thm)],[32355])).
% 26.10/17.82 tff(32357,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB89)) | v195(constB89))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB89) | (~v185(constB89)))),
% 26.10/17.82 inference(transitivity,[status(thm)],[32356, 32354])).
% 26.10/17.82 tff(32358,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB89)) | v195(constB89))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32359,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB89) | (~v185(constB89))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32358, 32357])).
% 26.10/17.82 tff(32360,plain,
% 26.10/17.82 (v195(constB89)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32359, 23982, 32353])).
% 26.10/17.82 tff(32361,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB89)) | (~v195(constB89)))) <=> ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB89)) | (~v195(constB89)))),
% 26.10/17.82 inference(rewrite,[status(thm)],[])).
% 26.10/17.82 tff(32362,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB89)) | (~v195(constB89)))),
% 26.10/17.82 inference(quant_inst,[status(thm)],[])).
% 26.10/17.82 tff(32363,plain,
% 26.10/17.82 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB89)) | (~v195(constB89))),
% 26.10/17.82 inference(modus_ponens,[status(thm)],[32362, 32361])).
% 26.10/17.82 tff(32364,plain,
% 26.10/17.82 (~v193(constB89)),
% 26.10/17.82 inference(unit_resolution,[status(thm)],[32363, 23996, 32360])).
% 26.10/17.82 tff(32365,plain,
% 26.10/17.82 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB88)) | (~v185(constB88)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB88)) | (~v185(constB88)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32366,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB88)) | (~v185(constB88)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32367,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB88)) | (~v185(constB88))),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32366, 32365])).
% 26.10/17.83 tff(32368,plain,
% 26.10/17.83 (~v185(constB88)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32367, 24010, 680])).
% 26.10/17.83 tff(32369,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB88) | (~v184(constB88)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB88) | (~v184(constB88)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32370,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB88) | (~v184(constB88)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32371,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB88) | (~v184(constB88))),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32370, 32369])).
% 26.10/17.83 tff(32372,plain,
% 26.10/17.83 (~v184(constB88)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32371, 24024, 32368])).
% 26.10/17.83 tff(32373,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB88) | (~v180(constB88)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB88) | (~v180(constB88)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32374,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB88) | (~v180(constB88)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32375,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB88) | (~v180(constB88))),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32374, 32373])).
% 26.10/17.83 tff(32376,plain,
% 26.10/17.83 (~v180(constB88)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32375, 23899, 32372])).
% 26.10/17.83 tff(32377,plain,
% 26.10/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB88, constB89)) | v180(constB88) | (~v182(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB88, constB89)) | v180(constB88) | (~v182(constB89)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32378,plain,
% 26.10/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB88, constB89)) | v180(constB88) | (~v182(constB89)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32379,plain,
% 26.10/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB88, constB89)) | v180(constB88) | (~v182(constB89))),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32378, 32377])).
% 26.10/17.83 tff(32380,plain,
% 26.10/17.83 (v180(constB88) | (~v182(constB89))),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32379, 23916, 15658])).
% 26.10/17.83 tff(32381,plain,
% 26.10/17.83 (~v182(constB89)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32380, 32376])).
% 26.10/17.83 tff(32382,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB89) | (~v196(constB89)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB89) | (~v196(constB89)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32383,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB89) | (~v196(constB89)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32384,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB89) | (~v196(constB89))),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32383, 32382])).
% 26.10/17.83 tff(32385,plain,
% 26.10/17.83 (~v196(constB89)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32384, 23931, 32381])).
% 26.10/17.83 tff(32386,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB89) | v196(constB89) | (~v190(constB89)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB89) | v196(constB89) | (~v190(constB89)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32387,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB89) | v196(constB89) | (~v190(constB89)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32388,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB89) | v196(constB89) | (~v190(constB89))),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32387, 32386])).
% 26.10/17.83 tff(32389,plain,
% 26.10/17.83 (v193(constB89) | (~v190(constB89))),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32388, 24051, 32385])).
% 26.10/17.83 tff(32390,plain,
% 26.10/17.83 (~v190(constB89)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32389, 32364])).
% 26.10/17.83 tff(32391,plain,
% 26.10/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB89, constB90)) | v190(constB89) | (~v192(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB89, constB90)) | v190(constB89) | (~v192(constB90)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32392,plain,
% 26.10/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB89, constB90)) | v190(constB89) | (~v192(constB90)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32393,plain,
% 26.10/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB89, constB90)) | v190(constB89) | (~v192(constB90))),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32392, 32391])).
% 26.10/17.83 tff(32394,plain,
% 26.10/17.83 (v190(constB89) | (~v192(constB90))),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32393, 24066, 15799])).
% 26.10/17.83 tff(32395,plain,
% 26.10/17.83 (~v192(constB90)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32394, 32390])).
% 26.10/17.83 tff(32396,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB90) | (~v193(constB90)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB90) | (~v193(constB90)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32397,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB90) | (~v193(constB90)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32398,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB90) | (~v193(constB90))),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32397, 32396])).
% 26.10/17.83 tff(32399,plain,
% 26.10/17.83 (~v193(constB90)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32398, 24081, 32395])).
% 26.10/17.83 tff(32400,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB89, bitIndex2)) | v90(constB89, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB89, bitIndex2)) | v90(constB89, bitIndex2))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32401,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB89, bitIndex2)) | v90(constB89, bitIndex2))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32402,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB89, bitIndex2)) | v90(constB89, bitIndex2)),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32401, 32400])).
% 26.10/17.83 tff(32403,plain,
% 26.10/17.83 (~v88(constB89, bitIndex2)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32402, 28577, 15679])).
% 26.10/17.83 tff(32404,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB89, bitIndex0)) | v90(constB89, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB89, bitIndex0)) | v90(constB89, bitIndex0))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32405,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB89, bitIndex0)) | v90(constB89, bitIndex0))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32406,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB89, bitIndex0)) | v90(constB89, bitIndex0)),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32405, 32404])).
% 26.10/17.83 tff(32407,plain,
% 26.10/17.83 (~v88(constB89, bitIndex0)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32406, 23809, 15744])).
% 26.10/17.83 tff(32408,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB89, bitIndex1)) | v88(constB89, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB89, bitIndex1)) | v88(constB89, bitIndex1))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32409,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB89, bitIndex1)) | v88(constB89, bitIndex1))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32410,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB89, bitIndex1)) | v88(constB89, bitIndex1)),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32409, 32408])).
% 26.10/17.83 tff(32411,plain,
% 26.10/17.83 (v88(constB89, bitIndex1)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32410, 28592, 15710])).
% 26.10/17.83 tff(32412,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0) | v143(constB89))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0) | v143(constB89))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32413,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0) | v143(constB89))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32414,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0) | v143(constB89)),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32413, 32412])).
% 26.10/17.83 tff(32415,plain,
% 26.10/17.83 (v143(constB89)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32414, 28606, 32411, 32407, 32403])).
% 26.10/17.83 tff(32416,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB89)) | v142(constB89))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB89)) | v142(constB89))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32417,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB89)) | v142(constB89))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32418,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB89)) | v142(constB89)),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32417, 32416])).
% 26.10/17.83 tff(32419,plain,
% 26.10/17.83 (v142(constB89)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32418, 28620, 32415])).
% 26.10/17.83 tff(32420,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB89)) | v167(constB89))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB89)) | v167(constB89))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32421,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB89)) | v167(constB89))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32422,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB89)) | v167(constB89)),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32421, 32420])).
% 26.10/17.83 tff(32423,plain,
% 26.10/17.83 (v167(constB89)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32422, 28631, 32419])).
% 26.10/17.83 tff(32424,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB89) | (~v167(constB89)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB89) | (~v167(constB89)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32425,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB89) | (~v167(constB89)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32426,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB89) | (~v167(constB89))),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32425, 32424])).
% 26.10/17.83 tff(32427,plain,
% 26.10/17.83 (v166(constB89)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32426, 28645, 32423])).
% 26.10/17.83 tff(32428,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v139(constB89)) | (~v88(constB89, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v139(constB89)) | (~v88(constB89, bitIndex1)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32429,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v139(constB89)) | (~v88(constB89, bitIndex1)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32430,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v139(constB89)) | (~v88(constB89, bitIndex1))),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32429, 32428])).
% 26.10/17.83 tff(32431,plain,
% 26.10/17.83 (~v139(constB89)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32430, 28656, 32411])).
% 26.10/17.83 tff(32432,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB89)) | (~v88(constB89, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB89)) | (~v88(constB89, bitIndex1)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32433,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB89)) | (~v88(constB89, bitIndex1)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32434,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB89)) | (~v88(constB89, bitIndex1))),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32433, 32432])).
% 26.10/17.83 tff(32435,plain,
% 26.10/17.83 (~v140(constB89)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32434, 28667, 32411])).
% 26.10/17.83 tff(32436,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB89) | v140(constB89) | (~v170(constB89)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB89) | v140(constB89) | (~v170(constB89)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32437,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB89) | v140(constB89) | (~v170(constB89)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32438,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB89) | v140(constB89) | (~v170(constB89))),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32437, 32436])).
% 26.10/17.83 tff(32439,plain,
% 26.10/17.83 (~v170(constB89)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32438, 23719, 32435, 32431])).
% 26.10/17.83 tff(32440,plain,
% 26.10/17.83 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB89)) | (~v166(constB89)) | v170(constB89))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB89)) | (~v166(constB89)) | v170(constB89))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32441,plain,
% 26.10/17.83 (((~v166(constB89)) | v170(constB89) | (~v163(constB89))) <=> ((~v163(constB89)) | (~v166(constB89)) | v170(constB89))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32442,plain,
% 26.10/17.83 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB89)) | v170(constB89) | (~v163(constB89)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB89)) | (~v166(constB89)) | v170(constB89)))),
% 26.10/17.83 inference(monotonicity,[status(thm)],[32441])).
% 26.10/17.83 tff(32443,plain,
% 26.10/17.83 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB89)) | v170(constB89) | (~v163(constB89)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB89)) | (~v166(constB89)) | v170(constB89))),
% 26.10/17.83 inference(transitivity,[status(thm)],[32442, 32440])).
% 26.10/17.83 tff(32444,plain,
% 26.10/17.83 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB89)) | v170(constB89) | (~v163(constB89)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32445,plain,
% 26.10/17.83 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB89)) | (~v166(constB89)) | v170(constB89)),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32444, 32443])).
% 26.10/17.83 tff(32446,plain,
% 26.10/17.83 ((~v163(constB89)) | (~v166(constB89))),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32445, 23868, 32439])).
% 26.10/17.83 tff(32447,plain,
% 26.10/17.83 (~v163(constB89)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32446, 32427])).
% 26.10/17.83 tff(32448,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB89) | (~v184(constB89)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB89) | (~v184(constB89)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32449,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB89) | (~v184(constB89)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32450,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB89) | (~v184(constB89))),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32449, 32448])).
% 26.10/17.83 tff(32451,plain,
% 26.10/17.83 (~v184(constB89)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32450, 23885, 32447])).
% 26.10/17.83 tff(32452,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB89) | (~v180(constB89)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB89) | (~v180(constB89)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32453,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB89) | (~v180(constB89)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32454,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB89) | (~v180(constB89))),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32453, 32452])).
% 26.10/17.83 tff(32455,plain,
% 26.10/17.83 (~v180(constB89)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32454, 23899, 32451])).
% 26.10/17.83 tff(32456,plain,
% 26.10/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB89, constB90)) | v180(constB89) | (~v182(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB89, constB90)) | v180(constB89) | (~v182(constB90)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32457,plain,
% 26.10/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB89, constB90)) | v180(constB89) | (~v182(constB90)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32458,plain,
% 26.10/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB89, constB90)) | v180(constB89) | (~v182(constB90))),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32457, 32456])).
% 26.10/17.83 tff(32459,plain,
% 26.10/17.83 (v180(constB89) | (~v182(constB90))),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32458, 23916, 15799])).
% 26.10/17.83 tff(32460,plain,
% 26.10/17.83 (~v182(constB90)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32459, 32455])).
% 26.10/17.83 tff(32461,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB90) | (~v196(constB90)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB90) | (~v196(constB90)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32462,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB90) | (~v196(constB90)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32463,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB90) | (~v196(constB90))),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32462, 32461])).
% 26.10/17.83 tff(32464,plain,
% 26.10/17.83 (~v196(constB90)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32463, 23931, 32460])).
% 26.10/17.83 tff(32465,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB90) | v196(constB90) | (~v190(constB90)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB90) | v196(constB90) | (~v190(constB90)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32466,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB90) | v196(constB90) | (~v190(constB90)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32467,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB90) | v196(constB90) | (~v190(constB90))),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32466, 32465])).
% 26.10/17.83 tff(32468,plain,
% 26.10/17.83 (v193(constB90) | (~v190(constB90))),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32467, 24051, 32464])).
% 26.10/17.83 tff(32469,plain,
% 26.10/17.83 (~v190(constB90)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32468, 32399])).
% 26.10/17.83 tff(32470,plain,
% 26.10/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB90, constB91)) | v190(constB90) | (~v192(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB90, constB91)) | v190(constB90) | (~v192(constB91)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32471,plain,
% 26.10/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB90, constB91)) | v190(constB90) | (~v192(constB91)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32472,plain,
% 26.10/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB90, constB91)) | v190(constB90) | (~v192(constB91))),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32471, 32470])).
% 26.10/17.83 tff(32473,plain,
% 26.10/17.83 (v190(constB90) | (~v192(constB91))),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32472, 24066, 15858])).
% 26.10/17.83 tff(32474,plain,
% 26.10/17.83 (~v192(constB91)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32473, 32469])).
% 26.10/17.83 tff(32475,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB91) | (~v201(constB91)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB91) | (~v201(constB91)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32476,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB91) | (~v201(constB91)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32477,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB91) | (~v201(constB91))),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32476, 32475])).
% 26.10/17.83 tff(32478,plain,
% 26.10/17.83 (~v201(constB91)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32477, 24108, 32474])).
% 26.10/17.83 tff(32479,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB90)) | (~v185(constB90)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB90)) | (~v185(constB90)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32480,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB90)) | (~v185(constB90)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32481,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB90)) | (~v185(constB90))),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32480, 32479])).
% 26.10/17.83 tff(32482,plain,
% 26.10/17.83 (~v185(constB90)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32481, 24010, 108])).
% 26.10/17.83 tff(32483,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB90) | (~v184(constB90)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB90) | (~v184(constB90)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32484,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB90) | (~v184(constB90)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32485,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB90) | (~v184(constB90))),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32484, 32483])).
% 26.10/17.83 tff(32486,plain,
% 26.10/17.83 (~v184(constB90)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32485, 24024, 32482])).
% 26.10/17.83 tff(32487,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB90) | (~v180(constB90)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB90) | (~v180(constB90)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32488,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB90) | (~v180(constB90)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32489,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB90) | (~v180(constB90))),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32488, 32487])).
% 26.10/17.83 tff(32490,plain,
% 26.10/17.83 (~v180(constB90)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32489, 23899, 32486])).
% 26.10/17.83 tff(32491,plain,
% 26.10/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB90, constB91)) | v180(constB90) | (~v182(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB90, constB91)) | v180(constB90) | (~v182(constB91)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32492,plain,
% 26.10/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB90, constB91)) | v180(constB90) | (~v182(constB91)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32493,plain,
% 26.10/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB90, constB91)) | v180(constB90) | (~v182(constB91))),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32492, 32491])).
% 26.10/17.83 tff(32494,plain,
% 26.10/17.83 (v180(constB90) | (~v182(constB91))),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32493, 23916, 15858])).
% 26.10/17.83 tff(32495,plain,
% 26.10/17.83 (~v182(constB91)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32494, 32490])).
% 26.10/17.83 tff(32496,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB91) | (~v205(constB91)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB91) | (~v205(constB91)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32497,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB91) | (~v205(constB91)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32498,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB91) | (~v205(constB91))),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32497, 32496])).
% 26.10/17.83 tff(32499,plain,
% 26.10/17.83 (~v205(constB91)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32498, 24139, 32495])).
% 26.10/17.83 tff(32500,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB91) | v205(constB91) | (~v200(constB91)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB91) | v205(constB91) | (~v200(constB91)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32501,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB91) | v205(constB91) | (~v200(constB91)))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32502,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB91) | v205(constB91) | (~v200(constB91))),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32501, 32500])).
% 26.10/17.83 tff(32503,plain,
% 26.10/17.83 (v201(constB91) | (~v200(constB91))),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32502, 24153, 32499])).
% 26.10/17.83 tff(32504,plain,
% 26.10/17.83 (~v200(constB91)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32503, 32478])).
% 26.10/17.83 tff(32505,plain,
% 26.10/17.83 ($false),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32504, 32326])).
% 26.10/17.83 tff(32506,plain,(~(constB91 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.10/17.83 tff(32507,assumption,(constB111 = sK0_VarCurr), introduced(assumption)).
% 26.10/17.83 tff(32508,plain,
% 26.10/17.83 (v200(constB111) <=> v200(sK0_VarCurr)),
% 26.10/17.83 inference(monotonicity,[status(thm)],[32507])).
% 26.10/17.83 tff(32509,plain,
% 26.10/17.83 (v200(sK0_VarCurr) <=> v200(constB111)),
% 26.10/17.83 inference(symmetry,[status(thm)],[32508])).
% 26.10/17.83 tff(32510,plain,
% 26.10/17.83 (v200(constB111)),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[788, 32509])).
% 26.10/17.83 tff(32511,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB109, bitIndex2)) | v90(constB109, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB109, bitIndex2)) | v90(constB109, bitIndex2))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32512,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB109, bitIndex2)) | v90(constB109, bitIndex2))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32513,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB109, bitIndex2)) | v90(constB109, bitIndex2)),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32512, 32511])).
% 26.10/17.83 tff(32514,plain,
% 26.10/17.83 (~v88(constB109, bitIndex2)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32513, 28577, 17936])).
% 26.10/17.83 tff(32515,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB109, bitIndex0)) | v90(constB109, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB109, bitIndex0)) | v90(constB109, bitIndex0))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32516,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB109, bitIndex0)) | v90(constB109, bitIndex0))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32517,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB109, bitIndex0)) | v90(constB109, bitIndex0)),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32516, 32515])).
% 26.10/17.83 tff(32518,plain,
% 26.10/17.83 (~v88(constB109, bitIndex0)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32517, 23809, 18001])).
% 26.10/17.83 tff(32519,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB109, bitIndex1)) | v88(constB109, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB109, bitIndex1)) | v88(constB109, bitIndex1))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32520,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB109, bitIndex1)) | v88(constB109, bitIndex1))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32521,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB109, bitIndex1)) | v88(constB109, bitIndex1)),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32520, 32519])).
% 26.10/17.83 tff(32522,plain,
% 26.10/17.83 (v88(constB109, bitIndex1)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32521, 28592, 17967])).
% 26.10/17.83 tff(32523,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB109, bitIndex0) | v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v143(constB109))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB109, bitIndex0) | v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v143(constB109))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32524,plain,
% 26.10/17.83 ((v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | v143(constB109)) <=> (v88(constB109, bitIndex0) | v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v143(constB109))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32525,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | v143(constB109))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB109, bitIndex0) | v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v143(constB109)))),
% 26.10/17.83 inference(monotonicity,[status(thm)],[32524])).
% 26.10/17.83 tff(32526,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | v143(constB109))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB109, bitIndex0) | v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v143(constB109))),
% 26.10/17.83 inference(transitivity,[status(thm)],[32525, 32523])).
% 26.10/17.83 tff(32527,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | v143(constB109))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32528,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB109, bitIndex0) | v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v143(constB109)),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32527, 32526])).
% 26.10/17.83 tff(32529,plain,
% 26.10/17.83 (v143(constB109)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32528, 28606, 32522, 32518, 32514])).
% 26.10/17.83 tff(32530,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB109)) | v142(constB109))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB109)) | v142(constB109))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32531,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB109)) | v142(constB109))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32532,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB109)) | v142(constB109)),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32531, 32530])).
% 26.10/17.83 tff(32533,plain,
% 26.10/17.83 (v142(constB109)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32532, 28620, 32529])).
% 26.10/17.83 tff(32534,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB109)) | v167(constB109))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB109)) | v167(constB109))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.83 tff(32535,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB109)) | v167(constB109))),
% 26.10/17.83 inference(quant_inst,[status(thm)],[])).
% 26.10/17.83 tff(32536,plain,
% 26.10/17.83 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB109)) | v167(constB109)),
% 26.10/17.83 inference(modus_ponens,[status(thm)],[32535, 32534])).
% 26.10/17.83 tff(32537,plain,
% 26.10/17.83 (v167(constB109)),
% 26.10/17.83 inference(unit_resolution,[status(thm)],[32536, 28631, 32533])).
% 26.10/17.83 tff(32538,plain,
% 26.10/17.83 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB109) | (~v167(constB109)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB109) | (~v167(constB109)))),
% 26.10/17.83 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32539,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB109) | (~v167(constB109)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32540,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB109) | (~v167(constB109))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32539, 32538])).
% 26.10/17.84 tff(32541,plain,
% 26.10/17.84 (v166(constB109)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32540, 28645, 32537])).
% 26.10/17.84 tff(32542,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v139(constB109)) | (~v88(constB109, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v139(constB109)) | (~v88(constB109, bitIndex1)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32543,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v139(constB109)) | (~v88(constB109, bitIndex1)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32544,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v139(constB109)) | (~v88(constB109, bitIndex1))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32543, 32542])).
% 26.10/17.84 tff(32545,plain,
% 26.10/17.84 (~v139(constB109)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32544, 28656, 32522])).
% 26.10/17.84 tff(32546,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB109)) | (~v88(constB109, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB109)) | (~v88(constB109, bitIndex1)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32547,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB109)) | (~v88(constB109, bitIndex1)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32548,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB109)) | (~v88(constB109, bitIndex1))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32547, 32546])).
% 26.10/17.84 tff(32549,plain,
% 26.10/17.84 (~v140(constB109)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32548, 28667, 32522])).
% 26.10/17.84 tff(32550,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB109) | v140(constB109) | (~v170(constB109)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB109) | v140(constB109) | (~v170(constB109)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32551,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB109) | v140(constB109) | (~v170(constB109)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32552,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB109) | v140(constB109) | (~v170(constB109))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32551, 32550])).
% 26.10/17.84 tff(32553,plain,
% 26.10/17.84 (~v170(constB109)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32552, 23719, 32549, 32545])).
% 26.10/17.84 tff(32554,plain,
% 26.10/17.84 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB109)) | v170(constB109) | (~v166(constB109)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB109)) | v170(constB109) | (~v166(constB109)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32555,plain,
% 26.10/17.84 (((~v166(constB109)) | v170(constB109) | (~v163(constB109))) <=> ((~v163(constB109)) | v170(constB109) | (~v166(constB109)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32556,plain,
% 26.10/17.84 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB109)) | v170(constB109) | (~v163(constB109)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB109)) | v170(constB109) | (~v166(constB109))))),
% 26.10/17.84 inference(monotonicity,[status(thm)],[32555])).
% 26.10/17.84 tff(32557,plain,
% 26.10/17.84 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB109)) | v170(constB109) | (~v163(constB109)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB109)) | v170(constB109) | (~v166(constB109)))),
% 26.10/17.84 inference(transitivity,[status(thm)],[32556, 32554])).
% 26.10/17.84 tff(32558,plain,
% 26.10/17.84 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB109)) | v170(constB109) | (~v163(constB109)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32559,plain,
% 26.10/17.84 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB109)) | v170(constB109) | (~v166(constB109))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32558, 32557])).
% 26.10/17.84 tff(32560,plain,
% 26.10/17.84 ((~v163(constB109)) | (~v166(constB109))),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32559, 23868, 32553])).
% 26.10/17.84 tff(32561,plain,
% 26.10/17.84 (~v163(constB109)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32560, 32541])).
% 26.10/17.84 tff(32562,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB109) | (~v184(constB109)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB109) | (~v184(constB109)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32563,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB109) | (~v184(constB109)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32564,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB109) | (~v184(constB109))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32563, 32562])).
% 26.10/17.84 tff(32565,plain,
% 26.10/17.84 (~v184(constB109)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32564, 23885, 32561])).
% 26.10/17.84 tff(32566,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB109) | (~v180(constB109)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB109) | (~v180(constB109)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32567,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB109) | (~v180(constB109)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32568,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB109) | (~v180(constB109))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32567, 32566])).
% 26.10/17.84 tff(32569,plain,
% 26.10/17.84 (~v180(constB109)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32568, 23899, 32565])).
% 26.10/17.84 tff(32570,plain,
% 26.10/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB109, constB110)) | v180(constB109) | (~v182(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB109, constB110)) | v180(constB109) | (~v182(constB110)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32571,plain,
% 26.10/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB109, constB110)) | v180(constB109) | (~v182(constB110)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32572,plain,
% 26.10/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB109, constB110)) | v180(constB109) | (~v182(constB110))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32571, 32570])).
% 26.10/17.84 tff(32573,plain,
% 26.10/17.84 (v180(constB109) | (~v182(constB110))),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32572, 23916, 18059])).
% 26.10/17.84 tff(32574,plain,
% 26.10/17.84 (~v182(constB110)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32573, 32569])).
% 26.10/17.84 tff(32575,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB110) | (~v196(constB110)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB110) | (~v196(constB110)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32576,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB110) | (~v196(constB110)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32577,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB110) | (~v196(constB110))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32576, 32575])).
% 26.10/17.84 tff(32578,plain,
% 26.10/17.84 (~v196(constB110)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32577, 23931, 32574])).
% 26.10/17.84 tff(32579,assumption,(v18(constB110)), introduced(assumption)).
% 26.10/17.84 tff(32580,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB110))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32581,plain,
% 26.10/17.84 ($false),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32580, 16985, 32579])).
% 26.10/17.84 tff(32582,plain,(~v18(constB110)), inference(lemma,lemma(discharge,[]))).
% 26.10/17.84 tff(32583,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB110) | (~v1(constB110)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB110) | (~v1(constB110)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32584,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB110) | (~v1(constB110)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32585,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB110) | (~v1(constB110))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32584, 32583])).
% 26.10/17.84 tff(32586,plain,
% 26.10/17.84 (v22(constB110)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32585, 16998, 18079])).
% 26.10/17.84 tff(32587,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB110) | (~v22(constB110)) | (~v19(constB110)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB110) | (~v22(constB110)) | (~v19(constB110)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32588,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB110) | (~v22(constB110)) | (~v19(constB110)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32589,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB110) | (~v22(constB110)) | (~v19(constB110))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32588, 32587])).
% 26.10/17.84 tff(32590,plain,
% 26.10/17.84 (v18(constB110) | (~v19(constB110))),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32589, 17012, 32586])).
% 26.10/17.84 tff(32591,plain,
% 26.10/17.84 (~v19(constB110)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32590, 32582])).
% 26.10/17.84 tff(32592,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB110) | v19(constB110))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB110) | v19(constB110))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32593,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB110) | v19(constB110))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32594,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB110) | v19(constB110)),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32593, 32592])).
% 26.10/17.84 tff(32595,plain,
% 26.10/17.84 (v13(constB110)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32594, 17024, 32591])).
% 26.10/17.84 tff(32596,plain,
% 26.10/17.84 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB109) | (~v13(constB110)) | (~nextState(constB109, constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB109) | (~v13(constB110)) | (~nextState(constB109, constB110)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32597,plain,
% 26.10/17.84 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB109) | (~v13(constB110)) | (~nextState(constB109, constB110)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32598,plain,
% 26.10/17.84 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB109) | (~v13(constB110)) | (~nextState(constB109, constB110))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32597, 32596])).
% 26.10/17.84 tff(32599,plain,
% 26.10/17.84 (v9(constB109) | (~v13(constB110))),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32598, 17041, 18059])).
% 26.10/17.84 tff(32600,plain,
% 26.10/17.84 (v9(constB109)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32599, 32595])).
% 26.10/17.84 tff(32601,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB109) | (~v9(constB109)) | v185(constB109))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB109) | (~v9(constB109)) | v185(constB109))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32602,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB109) | (~v9(constB109)) | v185(constB109))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32603,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB109) | (~v9(constB109)) | v185(constB109)),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32602, 32601])).
% 26.10/17.84 tff(32604,plain,
% 26.10/17.84 ((~v9(constB109)) | v185(constB109)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32603, 23970, 17912])).
% 26.10/17.84 tff(32605,plain,
% 26.10/17.84 (v185(constB109)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32604, 32600])).
% 26.10/17.84 tff(32606,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (v195(constB109) | (~v185(constB109)))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB109) | (~v185(constB109)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32607,plain,
% 26.10/17.84 (((~v185(constB109)) | v195(constB109)) <=> (v195(constB109) | (~v185(constB109)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32608,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB109)) | v195(constB109))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (v195(constB109) | (~v185(constB109))))),
% 26.10/17.84 inference(monotonicity,[status(thm)],[32607])).
% 26.10/17.84 tff(32609,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB109)) | v195(constB109))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB109) | (~v185(constB109)))),
% 26.10/17.84 inference(transitivity,[status(thm)],[32608, 32606])).
% 26.10/17.84 tff(32610,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB109)) | v195(constB109))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32611,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB109) | (~v185(constB109))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32610, 32609])).
% 26.10/17.84 tff(32612,plain,
% 26.10/17.84 (v195(constB109)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32611, 23982, 32605])).
% 26.10/17.84 tff(32613,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB109)) | (~v195(constB109)))) <=> ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB109)) | (~v195(constB109)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32614,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB109)) | (~v195(constB109)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32615,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB109)) | (~v195(constB109))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32614, 32613])).
% 26.10/17.84 tff(32616,plain,
% 26.10/17.84 (~v193(constB109)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32615, 23996, 32612])).
% 26.10/17.84 tff(32617,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB108)) | (~v185(constB108)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB108)) | (~v185(constB108)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32618,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB108)) | (~v185(constB108)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32619,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB108)) | (~v185(constB108))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32618, 32617])).
% 26.10/17.84 tff(32620,plain,
% 26.10/17.84 (~v185(constB108)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32619, 24010, 17873])).
% 26.10/17.84 tff(32621,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB108) | (~v184(constB108)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB108) | (~v184(constB108)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32622,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB108) | (~v184(constB108)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32623,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB108) | (~v184(constB108))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32622, 32621])).
% 26.10/17.84 tff(32624,plain,
% 26.10/17.84 (~v184(constB108)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32623, 24024, 32620])).
% 26.10/17.84 tff(32625,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB108) | (~v180(constB108)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB108) | (~v180(constB108)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32626,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB108) | (~v180(constB108)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32627,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB108) | (~v180(constB108))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32626, 32625])).
% 26.10/17.84 tff(32628,plain,
% 26.10/17.84 (~v180(constB108)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32627, 23899, 32624])).
% 26.10/17.84 tff(32629,plain,
% 26.10/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB108, constB109)) | v180(constB108) | (~v182(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB108, constB109)) | v180(constB108) | (~v182(constB109)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32630,plain,
% 26.10/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB108, constB109)) | v180(constB108) | (~v182(constB109)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32631,plain,
% 26.10/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB108, constB109)) | v180(constB108) | (~v182(constB109))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32630, 32629])).
% 26.10/17.84 tff(32632,plain,
% 26.10/17.84 (v180(constB108) | (~v182(constB109))),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32631, 23916, 17915])).
% 26.10/17.84 tff(32633,plain,
% 26.10/17.84 (~v182(constB109)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32632, 32628])).
% 26.10/17.84 tff(32634,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB109) | (~v196(constB109)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB109) | (~v196(constB109)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32635,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB109) | (~v196(constB109)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32636,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB109) | (~v196(constB109))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32635, 32634])).
% 26.10/17.84 tff(32637,plain,
% 26.10/17.84 (~v196(constB109)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32636, 23931, 32633])).
% 26.10/17.84 tff(32638,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB109) | v196(constB109) | (~v190(constB109)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB109) | v196(constB109) | (~v190(constB109)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32639,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB109) | v196(constB109) | (~v190(constB109)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32640,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB109) | v196(constB109) | (~v190(constB109))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32639, 32638])).
% 26.10/17.84 tff(32641,plain,
% 26.10/17.84 (v193(constB109) | (~v190(constB109))),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32640, 24051, 32637])).
% 26.10/17.84 tff(32642,plain,
% 26.10/17.84 (~v190(constB109)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32641, 32616])).
% 26.10/17.84 tff(32643,plain,
% 26.10/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB109, constB110)) | v190(constB109) | (~v192(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB109, constB110)) | v190(constB109) | (~v192(constB110)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32644,plain,
% 26.10/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB109, constB110)) | v190(constB109) | (~v192(constB110)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32645,plain,
% 26.10/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB109, constB110)) | v190(constB109) | (~v192(constB110))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32644, 32643])).
% 26.10/17.84 tff(32646,plain,
% 26.10/17.84 (v190(constB109) | (~v192(constB110))),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32645, 24066, 18059])).
% 26.10/17.84 tff(32647,plain,
% 26.10/17.84 (~v192(constB110)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32646, 32642])).
% 26.10/17.84 tff(32648,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB110) | (~v193(constB110)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB110) | (~v193(constB110)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32649,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB110) | (~v193(constB110)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32650,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB110) | (~v193(constB110))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32649, 32648])).
% 26.10/17.84 tff(32651,plain,
% 26.10/17.84 (~v193(constB110)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32650, 24081, 32647])).
% 26.10/17.84 tff(32652,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB110) | v196(constB110) | (~v190(constB110)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB110) | v196(constB110) | (~v190(constB110)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32653,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB110) | v196(constB110) | (~v190(constB110)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32654,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB110) | v196(constB110) | (~v190(constB110))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32653, 32652])).
% 26.10/17.84 tff(32655,plain,
% 26.10/17.84 (v196(constB110) | (~v190(constB110))),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32654, 24051, 32651])).
% 26.10/17.84 tff(32656,plain,
% 26.10/17.84 (~v190(constB110)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32655, 32578])).
% 26.10/17.84 tff(32657,plain,
% 26.10/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB110, constB111)) | v190(constB110) | (~v192(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB110, constB111)) | v190(constB110) | (~v192(constB111)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32658,plain,
% 26.10/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB110, constB111)) | v190(constB110) | (~v192(constB111)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32659,plain,
% 26.10/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB110, constB111)) | v190(constB110) | (~v192(constB111))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32658, 32657])).
% 26.10/17.84 tff(32660,plain,
% 26.10/17.84 (v190(constB110) | (~v192(constB111))),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32659, 24066, 18129])).
% 26.10/17.84 tff(32661,plain,
% 26.10/17.84 (~v192(constB111)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32660, 32656])).
% 26.10/17.84 tff(32662,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB111) | (~v201(constB111)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB111) | (~v201(constB111)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32663,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB111) | (~v201(constB111)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32664,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB111) | (~v201(constB111))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32663, 32662])).
% 26.10/17.84 tff(32665,plain,
% 26.10/17.84 (~v201(constB111)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32664, 24108, 32661])).
% 26.10/17.84 tff(32666,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB111) | (~v205(constB111)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB111) | (~v205(constB111)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32667,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB111) | (~v205(constB111)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32668,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB111) | (~v205(constB111))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32667, 32666])).
% 26.10/17.84 tff(32669,plain,
% 26.10/17.84 (~v205(constB111)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32668, 24139, 29783])).
% 26.10/17.84 tff(32670,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB111) | v205(constB111) | (~v200(constB111)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB111) | v205(constB111) | (~v200(constB111)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32671,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB111) | v205(constB111) | (~v200(constB111)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32672,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB111) | v205(constB111) | (~v200(constB111))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32671, 32670])).
% 26.10/17.84 tff(32673,plain,
% 26.10/17.84 (v201(constB111) | (~v200(constB111))),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32672, 24153, 32669])).
% 26.10/17.84 tff(32674,plain,
% 26.10/17.84 (~v200(constB111)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32673, 32665])).
% 26.10/17.84 tff(32675,plain,
% 26.10/17.84 ($false),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32674, 32510])).
% 26.10/17.84 tff(32676,plain,(~(constB111 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.10/17.84 tff(32677,assumption,(constB25 = sK0_VarCurr), introduced(assumption)).
% 26.10/17.84 tff(32678,plain,
% 26.10/17.84 (v200(constB25) <=> v200(sK0_VarCurr)),
% 26.10/17.84 inference(monotonicity,[status(thm)],[32677])).
% 26.10/17.84 tff(32679,plain,
% 26.10/17.84 (v200(sK0_VarCurr) <=> v200(constB25)),
% 26.10/17.84 inference(symmetry,[status(thm)],[32678])).
% 26.10/17.84 tff(32680,plain,
% 26.10/17.84 (v200(constB25)),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[788, 32679])).
% 26.10/17.84 tff(32681,plain,
% 26.10/17.84 (v130(constB21, bitIndex2)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[3749, 2736, 3744])).
% 26.10/17.84 tff(32682,plain,
% 26.10/17.84 (v116(constB21)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[3756, 2652, 3744])).
% 26.10/17.84 tff(32683,plain,
% 26.10/17.84 (v115(constB21)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[3763, 1008, 32682])).
% 26.10/17.84 tff(32684,plain,
% 26.10/17.84 (v114(constB21)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[3770, 1022, 32683])).
% 26.10/17.84 tff(32685,plain,
% 26.10/17.84 (v113(constB21)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[3777, 1036, 32684])).
% 26.10/17.84 tff(32686,plain,
% 26.10/17.84 (v90(constB22, bitIndex2)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[3858, 32685, 32681])).
% 26.10/17.84 tff(32687,plain,
% 26.10/17.84 (v90(constB23, bitIndex2)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[3885, 32686])).
% 26.10/17.84 tff(32688,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB23, bitIndex2)) | v88(constB23, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB23, bitIndex2)) | v88(constB23, bitIndex2))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32689,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB23, bitIndex2)) | v88(constB23, bitIndex2))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32690,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB23, bitIndex2)) | v88(constB23, bitIndex2)),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32689, 32688])).
% 26.10/17.84 tff(32691,plain,
% 26.10/17.84 (v88(constB23, bitIndex2)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32690, 23683, 32687])).
% 26.10/17.84 tff(32692,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v139(constB23)) | (~v88(constB23, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v139(constB23)) | (~v88(constB23, bitIndex2)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32693,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v139(constB23)) | (~v88(constB23, bitIndex2)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32694,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v139(constB23)) | (~v88(constB23, bitIndex2))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32693, 32692])).
% 26.10/17.84 tff(32695,plain,
% 26.10/17.84 (~v139(constB23)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32694, 23694, 32691])).
% 26.10/17.84 tff(32696,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v140(constB23)) | (~v88(constB23, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v140(constB23)) | (~v88(constB23, bitIndex2)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32697,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v140(constB23)) | (~v88(constB23, bitIndex2)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32698,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v140(constB23)) | (~v88(constB23, bitIndex2))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32697, 32696])).
% 26.10/17.84 tff(32699,plain,
% 26.10/17.84 (~v140(constB23)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32698, 23705, 32691])).
% 26.10/17.84 tff(32700,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB23) | v140(constB23) | (~v170(constB23)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB23) | v140(constB23) | (~v170(constB23)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32701,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB23) | v140(constB23) | (~v170(constB23)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32702,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB23) | v140(constB23) | (~v170(constB23))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32701, 32700])).
% 26.10/17.84 tff(32703,plain,
% 26.10/17.84 (~v170(constB23)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32702, 23719, 32699, 32695])).
% 26.10/17.84 tff(32704,plain,
% 26.10/17.84 (v100(constB22)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[3893, 32686, 3739])).
% 26.10/17.84 tff(32705,plain,
% 26.10/17.84 (~v130(constB21, bitIndex1)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[3897, 2792, 3744])).
% 26.10/17.84 tff(32706,plain,
% 26.10/17.84 (~v127(constB21, bitIndex1)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[3905, 32705])).
% 26.10/17.84 tff(32707,plain,
% 26.10/17.84 (~v129(constB22, bitIndex1)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[3910, 32706])).
% 26.10/17.84 tff(32708,plain,
% 26.10/17.84 ((~v90(constB22, bitIndex1)) | (~v100(constB22))),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[3917, 1303, 32707])).
% 26.10/17.84 tff(32709,plain,
% 26.10/17.84 (~v90(constB22, bitIndex1)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32708, 32704])).
% 26.10/17.84 tff(32710,plain,
% 26.10/17.84 (~v90(constB23, bitIndex1)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[3927, 32709])).
% 26.10/17.84 tff(32711,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB23, bitIndex1)) | v90(constB23, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB23, bitIndex1)) | v90(constB23, bitIndex1))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32712,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB23, bitIndex1)) | v90(constB23, bitIndex1))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32713,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB23, bitIndex1)) | v90(constB23, bitIndex1)),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32712, 32711])).
% 26.10/17.84 tff(32714,plain,
% 26.10/17.84 (~v88(constB23, bitIndex1)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32713, 23764, 32710])).
% 26.10/17.84 tff(32715,plain,
% 26.10/17.84 (~v130(constB21, bitIndex0)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[3931, 2833, 3744])).
% 26.10/17.84 tff(32716,plain,
% 26.10/17.84 (~v127(constB21, bitIndex0)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[3939, 32715])).
% 26.10/17.84 tff(32717,plain,
% 26.10/17.84 (~v129(constB22, bitIndex0)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[3944, 32716])).
% 26.10/17.84 tff(32718,plain,
% 26.10/17.84 ((~v90(constB22, bitIndex0)) | (~v100(constB22))),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[3951, 1374, 32717])).
% 26.10/17.84 tff(32719,plain,
% 26.10/17.84 (~v90(constB22, bitIndex0)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32718, 32704])).
% 26.10/17.84 tff(32720,plain,
% 26.10/17.84 (~v90(constB23, bitIndex0)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[3961, 32719])).
% 26.10/17.84 tff(32721,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB23, bitIndex0)) | v90(constB23, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB23, bitIndex0)) | v90(constB23, bitIndex0))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32722,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB23, bitIndex0)) | v90(constB23, bitIndex0))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32723,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB23, bitIndex0)) | v90(constB23, bitIndex0)),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32722, 32721])).
% 26.10/17.84 tff(32724,plain,
% 26.10/17.84 (~v88(constB23, bitIndex0)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32723, 23809, 32720])).
% 26.10/17.84 tff(32725,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB23, bitIndex0) | (~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | v146(constB23))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB23, bitIndex0) | (~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | v146(constB23))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32726,plain,
% 26.10/17.84 (((~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | v88(constB23, bitIndex0) | v146(constB23)) <=> (v88(constB23, bitIndex0) | (~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | v146(constB23))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32727,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | v88(constB23, bitIndex0) | v146(constB23))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB23, bitIndex0) | (~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | v146(constB23)))),
% 26.10/17.84 inference(monotonicity,[status(thm)],[32726])).
% 26.10/17.84 tff(32728,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | v88(constB23, bitIndex0) | v146(constB23))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB23, bitIndex0) | (~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | v146(constB23))),
% 26.10/17.84 inference(transitivity,[status(thm)],[32727, 32725])).
% 26.10/17.84 tff(32729,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | v88(constB23, bitIndex0) | v146(constB23))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32730,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB23, bitIndex0) | (~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | v146(constB23)),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32729, 32728])).
% 26.10/17.84 tff(32731,plain,
% 26.10/17.84 (v146(constB23)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32730, 23823, 32691, 32724, 32714])).
% 26.10/17.84 tff(32732,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB23) | (~v146(constB23)))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB23) | (~v146(constB23)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32733,plain,
% 26.10/17.84 (((~v146(constB23)) | v145(constB23)) <=> (v145(constB23) | (~v146(constB23)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32734,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB23)) | v145(constB23))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB23) | (~v146(constB23))))),
% 26.10/17.84 inference(monotonicity,[status(thm)],[32733])).
% 26.10/17.84 tff(32735,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB23)) | v145(constB23))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB23) | (~v146(constB23)))),
% 26.10/17.84 inference(transitivity,[status(thm)],[32734, 32732])).
% 26.10/17.84 tff(32736,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB23)) | v145(constB23))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32737,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB23) | (~v146(constB23))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32736, 32735])).
% 26.10/17.84 tff(32738,plain,
% 26.10/17.84 (v145(constB23)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32737, 23837, 32731])).
% 26.10/17.84 tff(32739,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | (v166(constB23) | (~v145(constB23)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB23) | (~v145(constB23)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32740,plain,
% 26.10/17.84 (((~v145(constB23)) | v166(constB23)) <=> (v166(constB23) | (~v145(constB23)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32741,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB23)) | v166(constB23))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | (v166(constB23) | (~v145(constB23))))),
% 26.10/17.84 inference(monotonicity,[status(thm)],[32740])).
% 26.10/17.84 tff(32742,plain,
% 26.10/17.84 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB23)) | v166(constB23))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB23) | (~v145(constB23)))),
% 26.10/17.84 inference(transitivity,[status(thm)],[32741, 32739])).
% 26.10/17.84 tff(32743,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB23)) | v166(constB23))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32744,plain,
% 26.10/17.84 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB23) | (~v145(constB23))),
% 26.10/17.84 inference(modus_ponens,[status(thm)],[32743, 32742])).
% 26.10/17.84 tff(32745,plain,
% 26.10/17.84 (v166(constB23)),
% 26.10/17.84 inference(unit_resolution,[status(thm)],[32744, 23851, 32738])).
% 26.10/17.84 tff(32746,plain,
% 26.10/17.84 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB23)) | v170(constB23) | (~v166(constB23)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB23)) | v170(constB23) | (~v166(constB23)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32747,plain,
% 26.10/17.84 (((~v166(constB23)) | v170(constB23) | (~v163(constB23))) <=> ((~v163(constB23)) | v170(constB23) | (~v166(constB23)))),
% 26.10/17.84 inference(rewrite,[status(thm)],[])).
% 26.10/17.84 tff(32748,plain,
% 26.10/17.84 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB23)) | v170(constB23) | (~v163(constB23)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB23)) | v170(constB23) | (~v166(constB23))))),
% 26.10/17.84 inference(monotonicity,[status(thm)],[32747])).
% 26.10/17.84 tff(32749,plain,
% 26.10/17.84 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB23)) | v170(constB23) | (~v163(constB23)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB23)) | v170(constB23) | (~v166(constB23)))),
% 26.10/17.84 inference(transitivity,[status(thm)],[32748, 32746])).
% 26.10/17.84 tff(32750,plain,
% 26.10/17.84 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB23)) | v170(constB23) | (~v163(constB23)))),
% 26.10/17.84 inference(quant_inst,[status(thm)],[])).
% 26.10/17.84 tff(32751,plain,
% 26.10/17.84 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB23)) | v170(constB23) | (~v166(constB23))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32750, 32749])).
% 26.10/17.85 tff(32752,plain,
% 26.10/17.85 (~v163(constB23)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32751, 23868, 32745, 32703])).
% 26.10/17.85 tff(32753,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB23) | (~v184(constB23)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB23) | (~v184(constB23)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32754,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB23) | (~v184(constB23)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32755,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB23) | (~v184(constB23))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32754, 32753])).
% 26.10/17.85 tff(32756,plain,
% 26.10/17.85 (~v184(constB23)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32755, 23885, 32752])).
% 26.10/17.85 tff(32757,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB23) | (~v180(constB23)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB23) | (~v180(constB23)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32758,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB23) | (~v180(constB23)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32759,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB23) | (~v180(constB23))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32758, 32757])).
% 26.10/17.85 tff(32760,plain,
% 26.10/17.85 (~v180(constB23)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32759, 23899, 32756])).
% 26.10/17.85 tff(32761,plain,
% 26.10/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB23, constB24)) | v180(constB23) | (~v182(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB23, constB24)) | v180(constB23) | (~v182(constB24)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32762,plain,
% 26.10/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB23, constB24)) | v180(constB23) | (~v182(constB24)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32763,plain,
% 26.10/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB23, constB24)) | v180(constB23) | (~v182(constB24))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32762, 32761])).
% 26.10/17.85 tff(32764,plain,
% 26.10/17.85 (v180(constB23) | (~v182(constB24))),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32763, 23916, 4012])).
% 26.10/17.85 tff(32765,plain,
% 26.10/17.85 (~v182(constB24)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32764, 32760])).
% 26.10/17.85 tff(32766,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB24) | (~v196(constB24)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB24) | (~v196(constB24)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32767,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB24) | (~v196(constB24)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32768,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB24) | (~v196(constB24))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32767, 32766])).
% 26.10/17.85 tff(32769,plain,
% 26.10/17.85 (~v196(constB24)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32768, 23931, 32765])).
% 26.10/17.85 tff(32770,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB21, bitIndex0)) | v88(constB21, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB21, bitIndex0)) | v88(constB21, bitIndex0))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32771,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB21, bitIndex0)) | v88(constB21, bitIndex0))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32772,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB21, bitIndex0)) | v88(constB21, bitIndex0)),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32771, 32770])).
% 26.10/17.85 tff(32773,plain,
% 26.10/17.85 (v88(constB21, bitIndex0)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32772, 28834, 3653])).
% 26.10/17.85 tff(32774,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB21, bitIndex1)) | v88(constB21, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB21, bitIndex1)) | v88(constB21, bitIndex1))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32775,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB21, bitIndex1)) | v88(constB21, bitIndex1))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32776,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB21, bitIndex1)) | v88(constB21, bitIndex1)),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32775, 32774])).
% 26.10/17.85 tff(32777,plain,
% 26.10/17.85 (v88(constB21, bitIndex1)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32776, 28592, 3684])).
% 26.10/17.85 tff(32778,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB21, bitIndex2)) | v90(constB21, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB21, bitIndex2)) | v90(constB21, bitIndex2))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32779,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB21, bitIndex2)) | v90(constB21, bitIndex2))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32780,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB21, bitIndex2)) | v90(constB21, bitIndex2)),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32779, 32778])).
% 26.10/17.85 tff(32781,plain,
% 26.10/17.85 (~v88(constB21, bitIndex2)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32780, 28577, 3739])).
% 26.10/17.85 tff(32782,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB21, bitIndex2) | v141(constB21) | (~v88(constB21, bitIndex0)) | (~v88(constB21, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB21, bitIndex2) | v141(constB21) | (~v88(constB21, bitIndex0)) | (~v88(constB21, bitIndex1)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32783,plain,
% 26.10/17.85 ((v88(constB21, bitIndex2) | (~v88(constB21, bitIndex1)) | (~v88(constB21, bitIndex0)) | v141(constB21)) <=> (v88(constB21, bitIndex2) | v141(constB21) | (~v88(constB21, bitIndex0)) | (~v88(constB21, bitIndex1)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32784,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB21, bitIndex2) | (~v88(constB21, bitIndex1)) | (~v88(constB21, bitIndex0)) | v141(constB21))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB21, bitIndex2) | v141(constB21) | (~v88(constB21, bitIndex0)) | (~v88(constB21, bitIndex1))))),
% 26.10/17.85 inference(monotonicity,[status(thm)],[32783])).
% 26.10/17.85 tff(32785,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB21, bitIndex2) | (~v88(constB21, bitIndex1)) | (~v88(constB21, bitIndex0)) | v141(constB21))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB21, bitIndex2) | v141(constB21) | (~v88(constB21, bitIndex0)) | (~v88(constB21, bitIndex1)))),
% 26.10/17.85 inference(transitivity,[status(thm)],[32784, 32782])).
% 26.10/17.85 tff(32786,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB21, bitIndex2) | (~v88(constB21, bitIndex1)) | (~v88(constB21, bitIndex0)) | v141(constB21))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32787,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB21, bitIndex2) | v141(constB21) | (~v88(constB21, bitIndex0)) | (~v88(constB21, bitIndex1))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32786, 32785])).
% 26.10/17.85 tff(32788,plain,
% 26.10/17.85 (v141(constB21) | (~v88(constB21, bitIndex0)) | (~v88(constB21, bitIndex1))),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32787, 28848, 32781])).
% 26.10/17.85 tff(32789,plain,
% 26.10/17.85 (v141(constB21)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32788, 32777, 32773])).
% 26.10/17.85 tff(32790,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB21)) | v168(constB21))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB21)) | v168(constB21))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32791,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB21)) | v168(constB21))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32792,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB21)) | v168(constB21)),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32791, 32790])).
% 26.10/17.85 tff(32793,plain,
% 26.10/17.85 (v168(constB21)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32792, 28862, 32789])).
% 26.10/17.85 tff(32794,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB21)) | v167(constB21))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB21)) | v167(constB21))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32795,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB21)) | v167(constB21))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32796,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB21)) | v167(constB21)),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32795, 32794])).
% 26.10/17.85 tff(32797,plain,
% 26.10/17.85 (v167(constB21)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32796, 28873, 32793])).
% 26.10/17.85 tff(32798,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB21) | (~v167(constB21)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB21) | (~v167(constB21)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32799,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB21) | (~v167(constB21)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32800,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB21) | (~v167(constB21))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32799, 32798])).
% 26.10/17.85 tff(32801,plain,
% 26.10/17.85 (v166(constB21)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32800, 28645, 32797])).
% 26.10/17.85 tff(32802,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))) | ((~v139(constB21)) | (~v88(constB21, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))) | (~v139(constB21)) | (~v88(constB21, bitIndex0)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32803,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))) | ((~v139(constB21)) | (~v88(constB21, bitIndex0)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32804,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex0)))) | (~v139(constB21)) | (~v88(constB21, bitIndex0))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32803, 32802])).
% 26.10/17.85 tff(32805,plain,
% 26.10/17.85 (~v139(constB21)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32804, 28895, 32773])).
% 26.10/17.85 tff(32806,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB21)) | (~v88(constB21, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB21)) | (~v88(constB21, bitIndex1)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32807,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB21)) | (~v88(constB21, bitIndex1)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32808,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB21)) | (~v88(constB21, bitIndex1))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32807, 32806])).
% 26.10/17.85 tff(32809,plain,
% 26.10/17.85 (~v140(constB21)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32808, 28667, 32777])).
% 26.10/17.85 tff(32810,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB21) | v140(constB21) | (~v170(constB21)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB21) | v140(constB21) | (~v170(constB21)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32811,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB21) | v140(constB21) | (~v170(constB21)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32812,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB21) | v140(constB21) | (~v170(constB21))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32811, 32810])).
% 26.10/17.85 tff(32813,plain,
% 26.10/17.85 (~v170(constB21)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32812, 23719, 32809, 32805])).
% 26.10/17.85 tff(32814,plain,
% 26.10/17.85 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB21)) | v170(constB21) | (~v166(constB21)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB21)) | v170(constB21) | (~v166(constB21)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32815,plain,
% 26.10/17.85 (((~v166(constB21)) | v170(constB21) | (~v163(constB21))) <=> ((~v163(constB21)) | v170(constB21) | (~v166(constB21)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32816,plain,
% 26.10/17.85 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB21)) | v170(constB21) | (~v163(constB21)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB21)) | v170(constB21) | (~v166(constB21))))),
% 26.10/17.85 inference(monotonicity,[status(thm)],[32815])).
% 26.10/17.85 tff(32817,plain,
% 26.10/17.85 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB21)) | v170(constB21) | (~v163(constB21)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB21)) | v170(constB21) | (~v166(constB21)))),
% 26.10/17.85 inference(transitivity,[status(thm)],[32816, 32814])).
% 26.10/17.85 tff(32818,plain,
% 26.10/17.85 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB21)) | v170(constB21) | (~v163(constB21)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32819,plain,
% 26.10/17.85 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB21)) | v170(constB21) | (~v166(constB21))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32818, 32817])).
% 26.10/17.85 tff(32820,plain,
% 26.10/17.85 ((~v163(constB21)) | (~v166(constB21))),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32819, 23868, 32813])).
% 26.10/17.85 tff(32821,plain,
% 26.10/17.85 (~v163(constB21)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32820, 32801])).
% 26.10/17.85 tff(32822,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB21) | (~v184(constB21)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB21) | (~v184(constB21)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32823,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB21) | (~v184(constB21)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32824,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB21) | (~v184(constB21))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32823, 32822])).
% 26.10/17.85 tff(32825,plain,
% 26.10/17.85 (~v184(constB21)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32824, 23885, 32821])).
% 26.10/17.85 tff(32826,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB21) | (~v180(constB21)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB21) | (~v180(constB21)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32827,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB21) | (~v180(constB21)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32828,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB21) | (~v180(constB21))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32827, 32826])).
% 26.10/17.85 tff(32829,plain,
% 26.10/17.85 (~v180(constB21)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32828, 23899, 32825])).
% 26.10/17.85 tff(32830,plain,
% 26.10/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB21, constB22)) | v180(constB21) | (~v182(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB21, constB22)) | v180(constB21) | (~v182(constB22)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32831,plain,
% 26.10/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB21, constB22)) | v180(constB21) | (~v182(constB22)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32832,plain,
% 26.10/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB21, constB22)) | v180(constB21) | (~v182(constB22))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32831, 32830])).
% 26.10/17.85 tff(32833,plain,
% 26.10/17.85 (v180(constB21) | (~v182(constB22))),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32832, 23916, 3801])).
% 26.10/17.85 tff(32834,plain,
% 26.10/17.85 (~v182(constB22)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32833, 32829])).
% 26.10/17.85 tff(32835,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB22) | (~v196(constB22)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB22) | (~v196(constB22)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32836,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB22) | (~v196(constB22)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32837,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB22) | (~v196(constB22))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32836, 32835])).
% 26.10/17.85 tff(32838,plain,
% 26.10/17.85 (~v196(constB22)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32837, 23931, 32834])).
% 26.10/17.85 tff(32839,assumption,(v18(constB22)), introduced(assumption)).
% 26.10/17.85 tff(32840,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB22))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32841,plain,
% 26.10/17.85 ($false),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32840, 16985, 32839])).
% 26.10/17.85 tff(32842,plain,(~v18(constB22)), inference(lemma,lemma(discharge,[]))).
% 26.10/17.85 tff(32843,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB22) | (~v1(constB22)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB22) | (~v1(constB22)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32844,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB22) | (~v1(constB22)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32845,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB22) | (~v1(constB22))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32844, 32843])).
% 26.10/17.85 tff(32846,plain,
% 26.10/17.85 (v22(constB22)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32845, 16998, 3827])).
% 26.10/17.85 tff(32847,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB22) | (~v22(constB22)) | (~v19(constB22)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB22) | (~v22(constB22)) | (~v19(constB22)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32848,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB22) | (~v22(constB22)) | (~v19(constB22)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32849,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB22) | (~v22(constB22)) | (~v19(constB22))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32848, 32847])).
% 26.10/17.85 tff(32850,plain,
% 26.10/17.85 (v18(constB22) | (~v19(constB22))),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32849, 17012, 32846])).
% 26.10/17.85 tff(32851,plain,
% 26.10/17.85 (~v19(constB22)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32850, 32842])).
% 26.10/17.85 tff(32852,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB22) | v19(constB22))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB22) | v19(constB22))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32853,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB22) | v19(constB22))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32854,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB22) | v19(constB22)),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32853, 32852])).
% 26.10/17.85 tff(32855,plain,
% 26.10/17.85 (v13(constB22)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32854, 17024, 32851])).
% 26.10/17.85 tff(32856,plain,
% 26.10/17.85 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB21) | (~v13(constB22)) | (~nextState(constB21, constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB21) | (~v13(constB22)) | (~nextState(constB21, constB22)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32857,plain,
% 26.10/17.85 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB21) | (~v13(constB22)) | (~nextState(constB21, constB22)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32858,plain,
% 26.10/17.85 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB21) | (~v13(constB22)) | (~nextState(constB21, constB22))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32857, 32856])).
% 26.10/17.85 tff(32859,plain,
% 26.10/17.85 (v9(constB21) | (~v13(constB22))),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32858, 17041, 3801])).
% 26.10/17.85 tff(32860,plain,
% 26.10/17.85 (v9(constB21)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32859, 32855])).
% 26.10/17.85 tff(32861,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB21) | (~v9(constB21)) | v185(constB21))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB21) | (~v9(constB21)) | v185(constB21))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32862,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB21) | (~v9(constB21)) | v185(constB21))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32863,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB21) | (~v9(constB21)) | v185(constB21)),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32862, 32861])).
% 26.10/17.85 tff(32864,plain,
% 26.10/17.85 ((~v9(constB21)) | v185(constB21)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32863, 23970, 3629])).
% 26.10/17.85 tff(32865,plain,
% 26.10/17.85 (v185(constB21)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32864, 32860])).
% 26.10/17.85 tff(32866,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (v195(constB21) | (~v185(constB21)))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB21) | (~v185(constB21)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32867,plain,
% 26.10/17.85 (((~v185(constB21)) | v195(constB21)) <=> (v195(constB21) | (~v185(constB21)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32868,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB21)) | v195(constB21))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (v195(constB21) | (~v185(constB21))))),
% 26.10/17.85 inference(monotonicity,[status(thm)],[32867])).
% 26.10/17.85 tff(32869,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB21)) | v195(constB21))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB21) | (~v185(constB21)))),
% 26.10/17.85 inference(transitivity,[status(thm)],[32868, 32866])).
% 26.10/17.85 tff(32870,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB21)) | v195(constB21))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32871,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB21) | (~v185(constB21))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32870, 32869])).
% 26.10/17.85 tff(32872,plain,
% 26.10/17.85 (v195(constB21)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32871, 23982, 32865])).
% 26.10/17.85 tff(32873,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB21)) | (~v195(constB21)))) <=> ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB21)) | (~v195(constB21)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32874,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB21)) | (~v195(constB21)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32875,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB21)) | (~v195(constB21))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32874, 32873])).
% 26.10/17.85 tff(32876,plain,
% 26.10/17.85 (~v193(constB21)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32875, 23996, 32872])).
% 26.10/17.85 tff(32877,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB20)) | (~v185(constB20)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB20)) | (~v185(constB20)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32878,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB20)) | (~v185(constB20)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32879,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB20)) | (~v185(constB20))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32878, 32877])).
% 26.10/17.85 tff(32880,plain,
% 26.10/17.85 (~v185(constB20)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32879, 24010, 3604])).
% 26.10/17.85 tff(32881,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB20) | (~v184(constB20)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB20) | (~v184(constB20)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32882,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB20) | (~v184(constB20)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32883,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB20) | (~v184(constB20))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32882, 32881])).
% 26.10/17.85 tff(32884,plain,
% 26.10/17.85 (~v184(constB20)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32883, 24024, 32880])).
% 26.10/17.85 tff(32885,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB20) | (~v180(constB20)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB20) | (~v180(constB20)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32886,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB20) | (~v180(constB20)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32887,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB20) | (~v180(constB20))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32886, 32885])).
% 26.10/17.85 tff(32888,plain,
% 26.10/17.85 (~v180(constB20)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32887, 23899, 32884])).
% 26.10/17.85 tff(32889,plain,
% 26.10/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB20, constB21)) | v180(constB20) | (~v182(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB20, constB21)) | v180(constB20) | (~v182(constB21)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32890,plain,
% 26.10/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB20, constB21)) | v180(constB20) | (~v182(constB21)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32891,plain,
% 26.10/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB20, constB21)) | v180(constB20) | (~v182(constB21))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32890, 32889])).
% 26.10/17.85 tff(32892,plain,
% 26.10/17.85 (v180(constB20) | (~v182(constB21))),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32891, 23916, 3632])).
% 26.10/17.85 tff(32893,plain,
% 26.10/17.85 (~v182(constB21)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32892, 32888])).
% 26.10/17.85 tff(32894,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB21) | (~v196(constB21)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB21) | (~v196(constB21)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32895,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB21) | (~v196(constB21)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32896,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB21) | (~v196(constB21))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32895, 32894])).
% 26.10/17.85 tff(32897,plain,
% 26.10/17.85 (~v196(constB21)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32896, 23931, 32893])).
% 26.10/17.85 tff(32898,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB21) | v196(constB21) | (~v190(constB21)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB21) | v196(constB21) | (~v190(constB21)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32899,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB21) | v196(constB21) | (~v190(constB21)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32900,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB21) | v196(constB21) | (~v190(constB21))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32899, 32898])).
% 26.10/17.85 tff(32901,plain,
% 26.10/17.85 (v193(constB21) | (~v190(constB21))),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32900, 24051, 32897])).
% 26.10/17.85 tff(32902,plain,
% 26.10/17.85 (~v190(constB21)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32901, 32876])).
% 26.10/17.85 tff(32903,plain,
% 26.10/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB21, constB22)) | v190(constB21) | (~v192(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB21, constB22)) | v190(constB21) | (~v192(constB22)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32904,plain,
% 26.10/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB21, constB22)) | v190(constB21) | (~v192(constB22)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32905,plain,
% 26.10/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB21, constB22)) | v190(constB21) | (~v192(constB22))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32904, 32903])).
% 26.10/17.85 tff(32906,plain,
% 26.10/17.85 (v190(constB21) | (~v192(constB22))),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32905, 24066, 3801])).
% 26.10/17.85 tff(32907,plain,
% 26.10/17.85 (~v192(constB22)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32906, 32902])).
% 26.10/17.85 tff(32908,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB22) | (~v193(constB22)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB22) | (~v193(constB22)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32909,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB22) | (~v193(constB22)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32910,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB22) | (~v193(constB22))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32909, 32908])).
% 26.10/17.85 tff(32911,plain,
% 26.10/17.85 (~v193(constB22)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32910, 24081, 32907])).
% 26.10/17.85 tff(32912,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB22) | v196(constB22) | (~v190(constB22)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB22) | v196(constB22) | (~v190(constB22)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32913,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB22) | v196(constB22) | (~v190(constB22)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32914,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB22) | v196(constB22) | (~v190(constB22))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32913, 32912])).
% 26.10/17.85 tff(32915,plain,
% 26.10/17.85 (v196(constB22) | (~v190(constB22))),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32914, 24051, 32911])).
% 26.10/17.85 tff(32916,plain,
% 26.10/17.85 (~v190(constB22)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32915, 32838])).
% 26.10/17.85 tff(32917,plain,
% 26.10/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB22, constB23)) | v190(constB22) | (~v192(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB22, constB23)) | v190(constB22) | (~v192(constB23)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32918,plain,
% 26.10/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB22, constB23)) | v190(constB22) | (~v192(constB23)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32919,plain,
% 26.10/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB22, constB23)) | v190(constB22) | (~v192(constB23))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32918, 32917])).
% 26.10/17.85 tff(32920,plain,
% 26.10/17.85 (v190(constB22) | (~v192(constB23))),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32919, 24066, 3865])).
% 26.10/17.85 tff(32921,plain,
% 26.10/17.85 (~v192(constB23)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32920, 32916])).
% 26.10/17.85 tff(32922,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB23) | (~v193(constB23)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB23) | (~v193(constB23)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32923,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB23) | (~v193(constB23)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32924,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB23) | (~v193(constB23))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32923, 32922])).
% 26.10/17.85 tff(32925,plain,
% 26.10/17.85 (~v193(constB23)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32924, 24081, 32921])).
% 26.10/17.85 tff(32926,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB22)) | (~v185(constB22)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB22)) | (~v185(constB22)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32927,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB22)) | (~v185(constB22)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32928,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB22)) | (~v185(constB22))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32927, 32926])).
% 26.10/17.85 tff(32929,plain,
% 26.10/17.85 (~v185(constB22)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32928, 24010, 3827])).
% 26.10/17.85 tff(32930,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB22) | (~v184(constB22)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB22) | (~v184(constB22)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32931,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB22) | (~v184(constB22)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32932,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB22) | (~v184(constB22))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32931, 32930])).
% 26.10/17.85 tff(32933,plain,
% 26.10/17.85 (~v184(constB22)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32932, 24024, 32929])).
% 26.10/17.85 tff(32934,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB22) | (~v180(constB22)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB22) | (~v180(constB22)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32935,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB22) | (~v180(constB22)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32936,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB22) | (~v180(constB22))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32935, 32934])).
% 26.10/17.85 tff(32937,plain,
% 26.10/17.85 (~v180(constB22)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32936, 23899, 32933])).
% 26.10/17.85 tff(32938,plain,
% 26.10/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB22, constB23)) | v180(constB22) | (~v182(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB22, constB23)) | v180(constB22) | (~v182(constB23)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32939,plain,
% 26.10/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB22, constB23)) | v180(constB22) | (~v182(constB23)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32940,plain,
% 26.10/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB22, constB23)) | v180(constB22) | (~v182(constB23))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32939, 32938])).
% 26.10/17.85 tff(32941,plain,
% 26.10/17.85 (v180(constB22) | (~v182(constB23))),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32940, 23916, 3865])).
% 26.10/17.85 tff(32942,plain,
% 26.10/17.85 (~v182(constB23)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32941, 32937])).
% 26.10/17.85 tff(32943,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB23) | (~v196(constB23)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB23) | (~v196(constB23)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32944,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB23) | (~v196(constB23)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32945,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB23) | (~v196(constB23))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32944, 32943])).
% 26.10/17.85 tff(32946,plain,
% 26.10/17.85 (~v196(constB23)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32945, 23931, 32942])).
% 26.10/17.85 tff(32947,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB23) | v196(constB23) | (~v190(constB23)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB23) | v196(constB23) | (~v190(constB23)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32948,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB23) | v196(constB23) | (~v190(constB23)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32949,plain,
% 26.10/17.85 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB23) | v196(constB23) | (~v190(constB23))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32948, 32947])).
% 26.10/17.85 tff(32950,plain,
% 26.10/17.85 (v193(constB23) | (~v190(constB23))),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32949, 24051, 32946])).
% 26.10/17.85 tff(32951,plain,
% 26.10/17.85 (~v190(constB23)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32950, 32925])).
% 26.10/17.85 tff(32952,plain,
% 26.10/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB23, constB24)) | v190(constB23) | (~v192(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB23, constB24)) | v190(constB23) | (~v192(constB24)))),
% 26.10/17.85 inference(rewrite,[status(thm)],[])).
% 26.10/17.85 tff(32953,plain,
% 26.10/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB23, constB24)) | v190(constB23) | (~v192(constB24)))),
% 26.10/17.85 inference(quant_inst,[status(thm)],[])).
% 26.10/17.85 tff(32954,plain,
% 26.10/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB23, constB24)) | v190(constB23) | (~v192(constB24))),
% 26.10/17.85 inference(modus_ponens,[status(thm)],[32953, 32952])).
% 26.10/17.85 tff(32955,plain,
% 26.10/17.85 (v190(constB23) | (~v192(constB24))),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32954, 24066, 4012])).
% 26.10/17.85 tff(32956,plain,
% 26.10/17.85 (~v192(constB24)),
% 26.10/17.85 inference(unit_resolution,[status(thm)],[32955, 32951])).
% 26.10/17.85 tff(32957,plain,
% 26.10/17.85 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB24) | (~v193(constB24)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB24) | (~v193(constB24)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(32958,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB24) | (~v193(constB24)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(32959,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB24) | (~v193(constB24))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[32958, 32957])).
% 26.10/17.86 tff(32960,plain,
% 26.10/17.86 (~v193(constB24)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[32959, 24081, 32956])).
% 26.10/17.86 tff(32961,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB24) | v196(constB24) | (~v190(constB24)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB24) | v196(constB24) | (~v190(constB24)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(32962,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB24) | v196(constB24) | (~v190(constB24)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(32963,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB24) | v196(constB24) | (~v190(constB24))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[32962, 32961])).
% 26.10/17.86 tff(32964,plain,
% 26.10/17.86 (v196(constB24) | (~v190(constB24))),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[32963, 24051, 32960])).
% 26.10/17.86 tff(32965,plain,
% 26.10/17.86 (~v190(constB24)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[32964, 32769])).
% 26.10/17.86 tff(32966,plain,
% 26.10/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB24, constB25)) | v190(constB24) | (~v192(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB24, constB25)) | v190(constB24) | (~v192(constB25)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(32967,plain,
% 26.10/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB24, constB25)) | v190(constB24) | (~v192(constB25)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(32968,plain,
% 26.10/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB24, constB25)) | v190(constB24) | (~v192(constB25))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[32967, 32966])).
% 26.10/17.86 tff(32969,plain,
% 26.10/17.86 (v190(constB24) | (~v192(constB25))),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[32968, 24066, 4074])).
% 26.10/17.86 tff(32970,plain,
% 26.10/17.86 (~v192(constB25)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[32969, 32965])).
% 26.10/17.86 tff(32971,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB25) | (~v201(constB25)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB25) | (~v201(constB25)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(32972,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB25) | (~v201(constB25)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(32973,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB25) | (~v201(constB25))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[32972, 32971])).
% 26.10/17.86 tff(32974,plain,
% 26.10/17.86 (~v201(constB25)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[32973, 24108, 32970])).
% 26.10/17.86 tff(32975,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB25) | (~v205(constB25)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB25) | (~v205(constB25)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(32976,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB25) | (~v205(constB25)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(32977,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB25) | (~v205(constB25))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[32976, 32975])).
% 26.10/17.86 tff(32978,plain,
% 26.10/17.86 (~v205(constB25)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[32977, 24139, 31631])).
% 26.10/17.86 tff(32979,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB25) | v205(constB25) | (~v200(constB25)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB25) | v205(constB25) | (~v200(constB25)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(32980,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB25) | v205(constB25) | (~v200(constB25)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(32981,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB25) | v205(constB25) | (~v200(constB25))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[32980, 32979])).
% 26.10/17.86 tff(32982,plain,
% 26.10/17.86 (v201(constB25) | (~v200(constB25))),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[32981, 24153, 32978])).
% 26.10/17.86 tff(32983,plain,
% 26.10/17.86 (~v200(constB25)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[32982, 32974])).
% 26.10/17.86 tff(32984,plain,
% 26.10/17.86 ($false),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[32983, 32680])).
% 26.10/17.86 tff(32985,plain,(~(constB25 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.10/17.86 tff(32986,assumption,(constB105 = sK0_VarCurr), introduced(assumption)).
% 26.10/17.86 tff(32987,plain,
% 26.10/17.86 (v200(constB105) <=> v200(sK0_VarCurr)),
% 26.10/17.86 inference(monotonicity,[status(thm)],[32986])).
% 26.10/17.86 tff(32988,plain,
% 26.10/17.86 (v200(sK0_VarCurr) <=> v200(constB105)),
% 26.10/17.86 inference(symmetry,[status(thm)],[32987])).
% 26.10/17.86 tff(32989,plain,
% 26.10/17.86 (v200(constB105)),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[788, 32988])).
% 26.10/17.86 tff(32990,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB103, bitIndex2)) | v88(constB103, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB103, bitIndex2)) | v88(constB103, bitIndex2))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(32991,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB103, bitIndex2)) | v88(constB103, bitIndex2))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(32992,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB103, bitIndex2)) | v88(constB103, bitIndex2)),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[32991, 32990])).
% 26.10/17.86 tff(32993,plain,
% 26.10/17.86 (v88(constB103, bitIndex2)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[32992, 23683, 17273])).
% 26.10/17.86 tff(32994,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v139(constB103)) | (~v88(constB103, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v139(constB103)) | (~v88(constB103, bitIndex2)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(32995,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v139(constB103)) | (~v88(constB103, bitIndex2)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(32996,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v139(constB103)) | (~v88(constB103, bitIndex2))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[32995, 32994])).
% 26.10/17.86 tff(32997,plain,
% 26.10/17.86 (~v139(constB103)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[32996, 23694, 32993])).
% 26.10/17.86 tff(32998,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v140(constB103)) | (~v88(constB103, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v140(constB103)) | (~v88(constB103, bitIndex2)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(32999,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v140(constB103)) | (~v88(constB103, bitIndex2)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33000,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v140(constB103)) | (~v88(constB103, bitIndex2))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[32999, 32998])).
% 26.10/17.86 tff(33001,plain,
% 26.10/17.86 (~v140(constB103)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33000, 23705, 32993])).
% 26.10/17.86 tff(33002,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB103) | v140(constB103) | (~v170(constB103)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB103) | v140(constB103) | (~v170(constB103)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33003,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB103) | v140(constB103) | (~v170(constB103)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33004,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB103) | v140(constB103) | (~v170(constB103))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33003, 33002])).
% 26.10/17.86 tff(33005,plain,
% 26.10/17.86 (~v170(constB103)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33004, 23719, 33001, 32997])).
% 26.10/17.86 tff(33006,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB103, bitIndex1)) | v90(constB103, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB103, bitIndex1)) | v90(constB103, bitIndex1))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33007,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB103, bitIndex1)) | v90(constB103, bitIndex1))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33008,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB103, bitIndex1)) | v90(constB103, bitIndex1)),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33007, 33006])).
% 26.10/17.86 tff(33009,plain,
% 26.10/17.86 (~v88(constB103, bitIndex1)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33008, 23764, 17307])).
% 26.10/17.86 tff(33010,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB103, bitIndex0)) | v90(constB103, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB103, bitIndex0)) | v90(constB103, bitIndex0))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33011,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB103, bitIndex0)) | v90(constB103, bitIndex0))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33012,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB103, bitIndex0)) | v90(constB103, bitIndex0)),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33011, 33010])).
% 26.10/17.86 tff(33013,plain,
% 26.10/17.86 (~v88(constB103, bitIndex0)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33012, 23809, 17341])).
% 26.10/17.86 tff(33014,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB103, bitIndex0) | (~v88(constB103, bitIndex2)) | v88(constB103, bitIndex1) | v146(constB103))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB103, bitIndex0) | (~v88(constB103, bitIndex2)) | v88(constB103, bitIndex1) | v146(constB103))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33015,plain,
% 26.10/17.86 (((~v88(constB103, bitIndex2)) | v88(constB103, bitIndex1) | v88(constB103, bitIndex0) | v146(constB103)) <=> (v88(constB103, bitIndex0) | (~v88(constB103, bitIndex2)) | v88(constB103, bitIndex1) | v146(constB103))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33016,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB103, bitIndex2)) | v88(constB103, bitIndex1) | v88(constB103, bitIndex0) | v146(constB103))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB103, bitIndex0) | (~v88(constB103, bitIndex2)) | v88(constB103, bitIndex1) | v146(constB103)))),
% 26.10/17.86 inference(monotonicity,[status(thm)],[33015])).
% 26.10/17.86 tff(33017,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB103, bitIndex2)) | v88(constB103, bitIndex1) | v88(constB103, bitIndex0) | v146(constB103))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB103, bitIndex0) | (~v88(constB103, bitIndex2)) | v88(constB103, bitIndex1) | v146(constB103))),
% 26.10/17.86 inference(transitivity,[status(thm)],[33016, 33014])).
% 26.10/17.86 tff(33018,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB103, bitIndex2)) | v88(constB103, bitIndex1) | v88(constB103, bitIndex0) | v146(constB103))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33019,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB103, bitIndex0) | (~v88(constB103, bitIndex2)) | v88(constB103, bitIndex1) | v146(constB103)),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33018, 33017])).
% 26.10/17.86 tff(33020,plain,
% 26.10/17.86 (v146(constB103)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33019, 23823, 32993, 33013, 33009])).
% 26.10/17.86 tff(33021,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB103)) | v145(constB103))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB103)) | v145(constB103))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33022,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB103)) | v145(constB103))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33023,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB103)) | v145(constB103)),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33022, 33021])).
% 26.10/17.86 tff(33024,plain,
% 26.10/17.86 (v145(constB103)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33023, 23837, 33020])).
% 26.10/17.86 tff(33025,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | (v166(constB103) | (~v145(constB103)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB103) | (~v145(constB103)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33026,plain,
% 26.10/17.86 (((~v145(constB103)) | v166(constB103)) <=> (v166(constB103) | (~v145(constB103)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33027,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB103)) | v166(constB103))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | (v166(constB103) | (~v145(constB103))))),
% 26.10/17.86 inference(monotonicity,[status(thm)],[33026])).
% 26.10/17.86 tff(33028,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB103)) | v166(constB103))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB103) | (~v145(constB103)))),
% 26.10/17.86 inference(transitivity,[status(thm)],[33027, 33025])).
% 26.10/17.86 tff(33029,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB103)) | v166(constB103))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33030,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB103) | (~v145(constB103))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33029, 33028])).
% 26.10/17.86 tff(33031,plain,
% 26.10/17.86 (v166(constB103)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33030, 23851, 33024])).
% 26.10/17.86 tff(33032,plain,
% 26.10/17.86 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB103)) | (~v166(constB103)) | v170(constB103))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB103)) | (~v166(constB103)) | v170(constB103))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33033,plain,
% 26.10/17.86 (((~v166(constB103)) | v170(constB103) | (~v163(constB103))) <=> ((~v163(constB103)) | (~v166(constB103)) | v170(constB103))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33034,plain,
% 26.10/17.86 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB103)) | v170(constB103) | (~v163(constB103)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB103)) | (~v166(constB103)) | v170(constB103)))),
% 26.10/17.86 inference(monotonicity,[status(thm)],[33033])).
% 26.10/17.86 tff(33035,plain,
% 26.10/17.86 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB103)) | v170(constB103) | (~v163(constB103)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB103)) | (~v166(constB103)) | v170(constB103))),
% 26.10/17.86 inference(transitivity,[status(thm)],[33034, 33032])).
% 26.10/17.86 tff(33036,plain,
% 26.10/17.86 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB103)) | v170(constB103) | (~v163(constB103)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33037,plain,
% 26.10/17.86 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB103)) | (~v166(constB103)) | v170(constB103)),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33036, 33035])).
% 26.10/17.86 tff(33038,plain,
% 26.10/17.86 (~v163(constB103)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33037, 23868, 33031, 33005])).
% 26.10/17.86 tff(33039,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB103) | (~v184(constB103)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB103) | (~v184(constB103)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33040,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB103) | (~v184(constB103)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33041,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB103) | (~v184(constB103))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33040, 33039])).
% 26.10/17.86 tff(33042,plain,
% 26.10/17.86 (~v184(constB103)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33041, 23885, 33038])).
% 26.10/17.86 tff(33043,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB103) | (~v180(constB103)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB103) | (~v180(constB103)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33044,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB103) | (~v180(constB103)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33045,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB103) | (~v180(constB103))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33044, 33043])).
% 26.10/17.86 tff(33046,plain,
% 26.10/17.86 (~v180(constB103)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33045, 23899, 33042])).
% 26.10/17.86 tff(33047,plain,
% 26.10/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB103, constB104)) | v180(constB103) | (~v182(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB103, constB104)) | v180(constB103) | (~v182(constB104)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33048,plain,
% 26.10/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB103, constB104)) | v180(constB103) | (~v182(constB104)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33049,plain,
% 26.10/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB103, constB104)) | v180(constB103) | (~v182(constB104))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33048, 33047])).
% 26.10/17.86 tff(33050,plain,
% 26.10/17.86 (v180(constB103) | (~v182(constB104))),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33049, 23916, 17361])).
% 26.10/17.86 tff(33051,plain,
% 26.10/17.86 (~v182(constB104)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33050, 33046])).
% 26.10/17.86 tff(33052,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB104) | (~v196(constB104)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB104) | (~v196(constB104)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33053,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB104) | (~v196(constB104)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33054,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB104) | (~v196(constB104))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33053, 33052])).
% 26.10/17.86 tff(33055,plain,
% 26.10/17.86 (~v196(constB104)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33054, 23931, 33051])).
% 26.10/17.86 tff(33056,assumption,(v18(constB104)), introduced(assumption)).
% 26.10/17.86 tff(33057,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB104))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33058,plain,
% 26.10/17.86 ($false),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33057, 16985, 33056])).
% 26.10/17.86 tff(33059,plain,(~v18(constB104)), inference(lemma,lemma(discharge,[]))).
% 26.10/17.86 tff(33060,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB104) | (~v1(constB104)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB104) | (~v1(constB104)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33061,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB104) | (~v1(constB104)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33062,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB104) | (~v1(constB104))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33061, 33060])).
% 26.10/17.86 tff(33063,plain,
% 26.10/17.86 (v22(constB104)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33062, 16998, 482])).
% 26.10/17.86 tff(33064,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB104) | (~v22(constB104)) | (~v19(constB104)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB104) | (~v22(constB104)) | (~v19(constB104)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33065,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB104) | (~v22(constB104)) | (~v19(constB104)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33066,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB104) | (~v22(constB104)) | (~v19(constB104))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33065, 33064])).
% 26.10/17.86 tff(33067,plain,
% 26.10/17.86 (v18(constB104) | (~v19(constB104))),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33066, 17012, 33063])).
% 26.10/17.86 tff(33068,plain,
% 26.10/17.86 (~v19(constB104)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33067, 33059])).
% 26.10/17.86 tff(33069,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB104) | v19(constB104))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB104) | v19(constB104))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33070,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB104) | v19(constB104))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33071,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB104) | v19(constB104)),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33070, 33069])).
% 26.10/17.86 tff(33072,plain,
% 26.10/17.86 (v13(constB104)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33071, 17024, 33068])).
% 26.10/17.86 tff(33073,plain,
% 26.10/17.86 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB103) | (~v13(constB104)) | (~nextState(constB103, constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB103) | (~v13(constB104)) | (~nextState(constB103, constB104)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33074,plain,
% 26.10/17.86 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB103) | (~v13(constB104)) | (~nextState(constB103, constB104)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33075,plain,
% 26.10/17.86 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB103) | (~v13(constB104)) | (~nextState(constB103, constB104))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33074, 33073])).
% 26.10/17.86 tff(33076,plain,
% 26.10/17.86 (v9(constB103) | (~v13(constB104))),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33075, 17041, 17361])).
% 26.10/17.86 tff(33077,plain,
% 26.10/17.86 (v9(constB103)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33076, 33072])).
% 26.10/17.86 tff(33078,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB103) | (~v9(constB103)) | v185(constB103))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB103) | (~v9(constB103)) | v185(constB103))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33079,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | (v1(constB103) | (~v9(constB103)) | v185(constB103))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33080,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v185(VarCurr))) | v1(constB103) | (~v9(constB103)) | v185(constB103)),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33079, 33078])).
% 26.10/17.86 tff(33081,plain,
% 26.10/17.86 ((~v9(constB103)) | v185(constB103)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33080, 23970, 17249])).
% 26.10/17.86 tff(33082,plain,
% 26.10/17.86 (v185(constB103)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33081, 33077])).
% 26.10/17.86 tff(33083,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (v195(constB103) | (~v185(constB103)))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB103) | (~v185(constB103)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33084,plain,
% 26.10/17.86 (((~v185(constB103)) | v195(constB103)) <=> (v195(constB103) | (~v185(constB103)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33085,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB103)) | v195(constB103))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | (v195(constB103) | (~v185(constB103))))),
% 26.10/17.86 inference(monotonicity,[status(thm)],[33084])).
% 26.10/17.86 tff(33086,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB103)) | v195(constB103))) <=> ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB103) | (~v185(constB103)))),
% 26.10/17.86 inference(transitivity,[status(thm)],[33085, 33083])).
% 26.10/17.86 tff(33087,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | ((~v185(constB103)) | v195(constB103))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33088,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : ((~v185(VarCurr)) | v195(VarCurr))) | v195(constB103) | (~v185(constB103))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33087, 33086])).
% 26.10/17.86 tff(33089,plain,
% 26.10/17.86 (v195(constB103)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33088, 23982, 33082])).
% 26.10/17.86 tff(33090,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB103)) | (~v195(constB103)))) <=> ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB103)) | (~v195(constB103)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33091,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | ((~v193(constB103)) | (~v195(constB103)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33092,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v195(VarCurr)))) | (~v193(constB103)) | (~v195(constB103))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33091, 33090])).
% 26.10/17.86 tff(33093,plain,
% 26.10/17.86 (~v193(constB103)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33092, 23996, 33089])).
% 26.10/17.86 tff(33094,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB102)) | (~v185(constB102)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB102)) | (~v185(constB102)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33095,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB102)) | (~v185(constB102)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33096,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB102)) | (~v185(constB102))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33095, 33094])).
% 26.10/17.86 tff(33097,plain,
% 26.10/17.86 (~v185(constB102)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33096, 24010, 735])).
% 26.10/17.86 tff(33098,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB102) | (~v184(constB102)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB102) | (~v184(constB102)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33099,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB102) | (~v184(constB102)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33100,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB102) | (~v184(constB102))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33099, 33098])).
% 26.10/17.86 tff(33101,plain,
% 26.10/17.86 (~v184(constB102)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33100, 24024, 33097])).
% 26.10/17.86 tff(33102,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB102) | (~v180(constB102)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB102) | (~v180(constB102)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33103,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB102) | (~v180(constB102)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33104,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB102) | (~v180(constB102))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33103, 33102])).
% 26.10/17.86 tff(33105,plain,
% 26.10/17.86 (~v180(constB102)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33104, 23899, 33101])).
% 26.10/17.86 tff(33106,plain,
% 26.10/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB102, constB103)) | v180(constB102) | (~v182(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB102, constB103)) | v180(constB102) | (~v182(constB103)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33107,plain,
% 26.10/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB102, constB103)) | v180(constB102) | (~v182(constB103)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33108,plain,
% 26.10/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB102, constB103)) | v180(constB102) | (~v182(constB103))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33107, 33106])).
% 26.10/17.86 tff(33109,plain,
% 26.10/17.86 (v180(constB102) | (~v182(constB103))),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33108, 23916, 17252])).
% 26.10/17.86 tff(33110,plain,
% 26.10/17.86 (~v182(constB103)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33109, 33105])).
% 26.10/17.86 tff(33111,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB103) | (~v196(constB103)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB103) | (~v196(constB103)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33112,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB103) | (~v196(constB103)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33113,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB103) | (~v196(constB103))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33112, 33111])).
% 26.10/17.86 tff(33114,plain,
% 26.10/17.86 (~v196(constB103)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33113, 23931, 33110])).
% 26.10/17.86 tff(33115,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB103) | v196(constB103) | (~v190(constB103)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB103) | v196(constB103) | (~v190(constB103)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33116,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB103) | v196(constB103) | (~v190(constB103)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33117,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB103) | v196(constB103) | (~v190(constB103))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33116, 33115])).
% 26.10/17.86 tff(33118,plain,
% 26.10/17.86 (v193(constB103) | (~v190(constB103))),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33117, 24051, 33114])).
% 26.10/17.86 tff(33119,plain,
% 26.10/17.86 (~v190(constB103)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33118, 33093])).
% 26.10/17.86 tff(33120,plain,
% 26.10/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB103, constB104)) | v190(constB103) | (~v192(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB103, constB104)) | v190(constB103) | (~v192(constB104)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33121,plain,
% 26.10/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB103, constB104)) | v190(constB103) | (~v192(constB104)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33122,plain,
% 26.10/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB103, constB104)) | v190(constB103) | (~v192(constB104))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33121, 33120])).
% 26.10/17.86 tff(33123,plain,
% 26.10/17.86 (v190(constB103) | (~v192(constB104))),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33122, 24066, 17361])).
% 26.10/17.86 tff(33124,plain,
% 26.10/17.86 (~v192(constB104)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33123, 33119])).
% 26.10/17.86 tff(33125,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB104) | (~v193(constB104)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB104) | (~v193(constB104)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33126,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB104) | (~v193(constB104)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33127,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB104) | (~v193(constB104))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33126, 33125])).
% 26.10/17.86 tff(33128,plain,
% 26.10/17.86 (~v193(constB104)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33127, 24081, 33124])).
% 26.10/17.86 tff(33129,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB104) | v196(constB104) | (~v190(constB104)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB104) | v196(constB104) | (~v190(constB104)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33130,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB104) | v196(constB104) | (~v190(constB104)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33131,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB104) | v196(constB104) | (~v190(constB104))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33130, 33129])).
% 26.10/17.86 tff(33132,plain,
% 26.10/17.86 (v196(constB104) | (~v190(constB104))),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33131, 24051, 33128])).
% 26.10/17.86 tff(33133,plain,
% 26.10/17.86 (~v190(constB104)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33132, 33055])).
% 26.10/17.86 tff(33134,plain,
% 26.10/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB104, constB105)) | v190(constB104) | (~v192(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB104, constB105)) | v190(constB104) | (~v192(constB105)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33135,plain,
% 26.10/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB104, constB105)) | v190(constB104) | (~v192(constB105)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33136,plain,
% 26.10/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB104, constB105)) | v190(constB104) | (~v192(constB105))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33135, 33134])).
% 26.10/17.86 tff(33137,plain,
% 26.10/17.86 (v190(constB104) | (~v192(constB105))),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33136, 24066, 17503])).
% 26.10/17.86 tff(33138,plain,
% 26.10/17.86 (~v192(constB105)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33137, 33133])).
% 26.10/17.86 tff(33139,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB105) | (~v201(constB105)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB105) | (~v201(constB105)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33140,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB105) | (~v201(constB105)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33141,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB105) | (~v201(constB105))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33140, 33139])).
% 26.10/17.86 tff(33142,plain,
% 26.10/17.86 (~v201(constB105)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33141, 24108, 33138])).
% 26.10/17.86 tff(33143,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB104)) | (~v185(constB104)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB104)) | (~v185(constB104)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33144,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB104)) | (~v185(constB104)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33145,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB104)) | (~v185(constB104))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33144, 33143])).
% 26.10/17.86 tff(33146,plain,
% 26.10/17.86 (~v185(constB104)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33145, 24010, 482])).
% 26.10/17.86 tff(33147,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB104) | (~v184(constB104)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB104) | (~v184(constB104)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33148,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB104) | (~v184(constB104)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33149,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB104) | (~v184(constB104))),
% 26.10/17.86 inference(modus_ponens,[status(thm)],[33148, 33147])).
% 26.10/17.86 tff(33150,plain,
% 26.10/17.86 (~v184(constB104)),
% 26.10/17.86 inference(unit_resolution,[status(thm)],[33149, 24024, 33146])).
% 26.10/17.86 tff(33151,plain,
% 26.10/17.86 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB104) | (~v180(constB104)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB104) | (~v180(constB104)))),
% 26.10/17.86 inference(rewrite,[status(thm)],[])).
% 26.10/17.86 tff(33152,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB104) | (~v180(constB104)))),
% 26.10/17.86 inference(quant_inst,[status(thm)],[])).
% 26.10/17.86 tff(33153,plain,
% 26.10/17.86 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB104) | (~v180(constB104))),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33152, 33151])).
% 26.10/17.87 tff(33154,plain,
% 26.10/17.87 (~v180(constB104)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33153, 23899, 33150])).
% 26.10/17.87 tff(33155,plain,
% 26.10/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB104, constB105)) | v180(constB104) | (~v182(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB104, constB105)) | v180(constB104) | (~v182(constB105)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33156,plain,
% 26.10/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB104, constB105)) | v180(constB104) | (~v182(constB105)))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33157,plain,
% 26.10/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB104, constB105)) | v180(constB104) | (~v182(constB105))),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33156, 33155])).
% 26.10/17.87 tff(33158,plain,
% 26.10/17.87 (v180(constB104) | (~v182(constB105))),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33157, 23916, 17503])).
% 26.10/17.87 tff(33159,plain,
% 26.10/17.87 (~v182(constB105)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33158, 33154])).
% 26.10/17.87 tff(33160,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB105) | (~v205(constB105)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB105) | (~v205(constB105)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33161,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB105) | (~v205(constB105)))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33162,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB105) | (~v205(constB105))),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33161, 33160])).
% 26.10/17.87 tff(33163,plain,
% 26.10/17.87 (~v205(constB105)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33162, 24139, 33159])).
% 26.10/17.87 tff(33164,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB105) | v205(constB105) | (~v200(constB105)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB105) | v205(constB105) | (~v200(constB105)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33165,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB105) | v205(constB105) | (~v200(constB105)))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33166,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB105) | v205(constB105) | (~v200(constB105))),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33165, 33164])).
% 26.10/17.87 tff(33167,plain,
% 26.10/17.87 (v201(constB105) | (~v200(constB105))),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33166, 24153, 33163])).
% 26.10/17.87 tff(33168,plain,
% 26.10/17.87 (~v200(constB105)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33167, 33142])).
% 26.10/17.87 tff(33169,plain,
% 26.10/17.87 ($false),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33168, 32989])).
% 26.10/17.87 tff(33170,plain,(~(constB105 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.10/17.87 tff(33171,assumption,(constB129 = sK0_VarCurr), introduced(assumption)).
% 26.10/17.87 tff(33172,plain,
% 26.10/17.87 (v200(constB129) <=> v200(sK0_VarCurr)),
% 26.10/17.87 inference(monotonicity,[status(thm)],[33171])).
% 26.10/17.87 tff(33173,plain,
% 26.10/17.87 (v200(sK0_VarCurr) <=> v200(constB129)),
% 26.10/17.87 inference(symmetry,[status(thm)],[33172])).
% 26.10/17.87 tff(33174,plain,
% 26.10/17.87 (v200(constB129)),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[788, 33173])).
% 26.10/17.87 tff(33175,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB129, bitIndex2)) | v90(constB129, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB129, bitIndex2)) | v90(constB129, bitIndex2))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33176,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB129, bitIndex2)) | v90(constB129, bitIndex2))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33177,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB129, bitIndex2)) | v90(constB129, bitIndex2)),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33176, 33175])).
% 26.10/17.87 tff(33178,plain,
% 26.10/17.87 (~v88(constB129, bitIndex2)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33177, 28577, 20883])).
% 26.10/17.87 tff(33179,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB129, bitIndex0)) | v90(constB129, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB129, bitIndex0)) | v90(constB129, bitIndex0))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33180,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB129, bitIndex0)) | v90(constB129, bitIndex0))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33181,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB129, bitIndex0)) | v90(constB129, bitIndex0)),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33180, 33179])).
% 26.10/17.87 tff(33182,plain,
% 26.10/17.87 (~v88(constB129, bitIndex0)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33181, 23809, 20948])).
% 26.10/17.87 tff(33183,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB129, bitIndex1)) | v88(constB129, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB129, bitIndex1)) | v88(constB129, bitIndex1))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33184,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB129, bitIndex1)) | v88(constB129, bitIndex1))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33185,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB129, bitIndex1)) | v88(constB129, bitIndex1)),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33184, 33183])).
% 26.10/17.87 tff(33186,plain,
% 26.10/17.87 (v88(constB129, bitIndex1)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33185, 28592, 20914])).
% 26.10/17.87 tff(33187,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB129, bitIndex0) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v143(constB129))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB129, bitIndex0) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v143(constB129))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33188,plain,
% 26.10/17.87 ((v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v88(constB129, bitIndex0) | v143(constB129)) <=> (v88(constB129, bitIndex0) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v143(constB129))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33189,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v88(constB129, bitIndex0) | v143(constB129))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB129, bitIndex0) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v143(constB129)))),
% 26.10/17.87 inference(monotonicity,[status(thm)],[33188])).
% 26.10/17.87 tff(33190,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v88(constB129, bitIndex0) | v143(constB129))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB129, bitIndex0) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v143(constB129))),
% 26.10/17.87 inference(transitivity,[status(thm)],[33189, 33187])).
% 26.10/17.87 tff(33191,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v88(constB129, bitIndex0) | v143(constB129))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33192,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB129, bitIndex0) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v143(constB129)),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33191, 33190])).
% 26.10/17.87 tff(33193,plain,
% 26.10/17.87 (v143(constB129)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33192, 28606, 33186, 33182, 33178])).
% 26.10/17.87 tff(33194,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB129)) | v142(constB129))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB129)) | v142(constB129))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33195,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB129)) | v142(constB129))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33196,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB129)) | v142(constB129)),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33195, 33194])).
% 26.10/17.87 tff(33197,plain,
% 26.10/17.87 (v142(constB129)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33196, 28620, 33193])).
% 26.10/17.87 tff(33198,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (v148(constB129) | (~v142(constB129)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB129) | (~v142(constB129)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33199,plain,
% 26.10/17.87 (((~v142(constB129)) | v148(constB129)) <=> (v148(constB129) | (~v142(constB129)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33200,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB129)) | v148(constB129))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (v148(constB129) | (~v142(constB129))))),
% 26.10/17.87 inference(monotonicity,[status(thm)],[33199])).
% 26.10/17.87 tff(33201,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB129)) | v148(constB129))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB129) | (~v142(constB129)))),
% 26.10/17.87 inference(transitivity,[status(thm)],[33200, 33198])).
% 26.10/17.87 tff(33202,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB129)) | v148(constB129))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33203,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB129) | (~v142(constB129))),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33202, 33201])).
% 26.10/17.87 tff(33204,plain,
% 26.10/17.87 (v148(constB129)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33203, 29217, 33197])).
% 26.10/17.87 tff(33205,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB129)) | v167(constB129))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB129)) | v167(constB129))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33206,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB129)) | v167(constB129))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33207,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB129)) | v167(constB129)),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33206, 33205])).
% 26.10/17.87 tff(33208,plain,
% 26.10/17.87 (v167(constB129)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33207, 28631, 33197])).
% 26.10/17.87 tff(33209,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB129) | (~v167(constB129)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB129) | (~v167(constB129)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33210,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB129) | (~v167(constB129)))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33211,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB129) | (~v167(constB129))),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33210, 33209])).
% 26.10/17.87 tff(33212,plain,
% 26.10/17.87 (v166(constB129)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33211, 28645, 33208])).
% 26.10/17.87 tff(33213,plain,
% 26.10/17.87 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB129) | (~v148(constB129)) | (~v166(constB129)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB129) | (~v148(constB129)) | (~v166(constB129)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33214,plain,
% 26.10/17.87 (((~v148(constB129)) | v86(constB129) | (~v166(constB129))) <=> (v86(constB129) | (~v148(constB129)) | (~v166(constB129)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33215,plain,
% 26.10/17.87 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB129)) | v86(constB129) | (~v166(constB129)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB129) | (~v148(constB129)) | (~v166(constB129))))),
% 26.10/17.87 inference(monotonicity,[status(thm)],[33214])).
% 26.10/17.87 tff(33216,plain,
% 26.10/17.87 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB129)) | v86(constB129) | (~v166(constB129)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB129) | (~v148(constB129)) | (~v166(constB129)))),
% 26.10/17.87 inference(transitivity,[status(thm)],[33215, 33213])).
% 26.10/17.87 tff(33217,plain,
% 26.10/17.87 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB129)) | v86(constB129) | (~v166(constB129)))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33218,plain,
% 26.10/17.87 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB129) | (~v148(constB129)) | (~v166(constB129))),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33217, 33216])).
% 26.10/17.87 tff(33219,plain,
% 26.10/17.87 (v86(constB129)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33218, 29242, 33212, 33204])).
% 26.10/17.87 tff(33220,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | ((~v203(constB129)) | (~v86(constB129)))) <=> ((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | (~v203(constB129)) | (~v86(constB129)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33221,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | ((~v203(constB129)) | (~v86(constB129)))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33222,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | (~v203(constB129)) | (~v86(constB129))),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33221, 33220])).
% 26.10/17.87 tff(33223,plain,
% 26.10/17.87 (~v203(constB129)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33222, 29256, 33219])).
% 26.10/17.87 tff(33224,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | (v203(constB129) | (~v202(constB129)))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | v203(constB129) | (~v202(constB129)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33225,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | (v203(constB129) | (~v202(constB129)))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33226,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | v203(constB129) | (~v202(constB129))),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33225, 33224])).
% 26.10/17.87 tff(33227,plain,
% 26.10/17.87 (~v202(constB129)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33226, 29270, 33223])).
% 26.10/17.87 tff(33228,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | (v202(constB129) | (~v201(constB129)))) <=> ((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | v202(constB129) | (~v201(constB129)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33229,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | (v202(constB129) | (~v201(constB129)))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33230,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | v202(constB129) | (~v201(constB129))),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33229, 33228])).
% 26.10/17.87 tff(33231,plain,
% 26.10/17.87 (~v201(constB129)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33230, 29284, 33227])).
% 26.10/17.87 tff(33232,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB128)) | (~v185(constB128)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB128)) | (~v185(constB128)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33233,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB128)) | (~v185(constB128)))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33234,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB128)) | (~v185(constB128))),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33233, 33232])).
% 26.10/17.87 tff(33235,plain,
% 26.10/17.87 (~v185(constB128)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33234, 24010, 20820])).
% 26.10/17.87 tff(33236,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB128) | (~v184(constB128)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB128) | (~v184(constB128)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33237,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB128) | (~v184(constB128)))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33238,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB128) | (~v184(constB128))),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33237, 33236])).
% 26.10/17.87 tff(33239,plain,
% 26.10/17.87 (~v184(constB128)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33238, 24024, 33235])).
% 26.10/17.87 tff(33240,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB128) | (~v180(constB128)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB128) | (~v180(constB128)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33241,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB128) | (~v180(constB128)))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33242,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB128) | (~v180(constB128))),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33241, 33240])).
% 26.10/17.87 tff(33243,plain,
% 26.10/17.87 (~v180(constB128)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33242, 23899, 33239])).
% 26.10/17.87 tff(33244,plain,
% 26.10/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB128, constB129)) | v180(constB128) | (~v182(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB128, constB129)) | v180(constB128) | (~v182(constB129)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33245,plain,
% 26.10/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB128, constB129)) | v180(constB128) | (~v182(constB129)))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33246,plain,
% 26.10/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB128, constB129)) | v180(constB128) | (~v182(constB129))),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33245, 33244])).
% 26.10/17.87 tff(33247,plain,
% 26.10/17.87 (v180(constB128) | (~v182(constB129))),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33246, 23916, 20862])).
% 26.10/17.87 tff(33248,plain,
% 26.10/17.87 (~v182(constB129)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33247, 33243])).
% 26.10/17.87 tff(33249,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB129) | (~v205(constB129)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB129) | (~v205(constB129)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33250,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB129) | (~v205(constB129)))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33251,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB129) | (~v205(constB129))),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33250, 33249])).
% 26.10/17.87 tff(33252,plain,
% 26.10/17.87 (~v205(constB129)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33251, 24139, 33248])).
% 26.10/17.87 tff(33253,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB129) | v205(constB129) | (~v200(constB129)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB129) | v205(constB129) | (~v200(constB129)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33254,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB129) | v205(constB129) | (~v200(constB129)))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33255,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB129) | v205(constB129) | (~v200(constB129))),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33254, 33253])).
% 26.10/17.87 tff(33256,plain,
% 26.10/17.87 (v201(constB129) | (~v200(constB129))),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33255, 24153, 33252])).
% 26.10/17.87 tff(33257,plain,
% 26.10/17.87 (~v200(constB129)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33256, 33231])).
% 26.10/17.87 tff(33258,plain,
% 26.10/17.87 ($false),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33257, 33174])).
% 26.10/17.87 tff(33259,plain,(~(constB129 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.10/17.87 tff(33260,assumption,(constB199 = sK0_VarCurr), introduced(assumption)).
% 26.10/17.87 tff(33261,plain,
% 26.10/17.87 (v200(constB199) <=> v200(sK0_VarCurr)),
% 26.10/17.87 inference(monotonicity,[status(thm)],[33260])).
% 26.10/17.87 tff(33262,plain,
% 26.10/17.87 (v200(sK0_VarCurr) <=> v200(constB199)),
% 26.10/17.87 inference(symmetry,[status(thm)],[33261])).
% 26.10/17.87 tff(33263,plain,
% 26.10/17.87 (v200(constB199)),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[788, 33262])).
% 26.10/17.87 tff(33264,assumption,(v26(constB195)), introduced(assumption)).
% 26.10/17.87 tff(33265,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB195))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33266,plain,
% 26.10/17.87 ($false),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33265, 797, 33264])).
% 26.10/17.87 tff(33267,plain,(~v26(constB195)), inference(lemma,lemma(discharge,[]))).
% 26.10/17.87 tff(33268,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | v123(constB193))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | v123(constB193))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33269,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | v123(constB193))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33270,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | v123(constB193)),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33269, 33268])).
% 26.10/17.87 tff(33271,plain,
% 26.10/17.87 (v123(constB193)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33270, 1401, 28396, 28358, 28308])).
% 26.10/17.87 tff(33272,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB193) | (~v123(constB193)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB193) | (~v123(constB193)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33273,plain,
% 26.10/17.87 (((~v123(constB193)) | v115(constB193)) <=> (v115(constB193) | (~v123(constB193)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33274,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB193)) | v115(constB193))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB193) | (~v123(constB193))))),
% 26.10/17.87 inference(monotonicity,[status(thm)],[33273])).
% 26.10/17.87 tff(33275,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB193)) | v115(constB193))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB193) | (~v123(constB193)))),
% 26.10/17.87 inference(transitivity,[status(thm)],[33274, 33272])).
% 26.10/17.87 tff(33276,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB193)) | v115(constB193))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33277,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB193) | (~v123(constB193))),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33276, 33275])).
% 26.10/17.87 tff(33278,plain,
% 26.10/17.87 (v115(constB193)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33277, 1412, 33271])).
% 26.10/17.87 tff(33279,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB193) | (~v115(constB193)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB193) | (~v115(constB193)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33280,plain,
% 26.10/17.87 (((~v115(constB193)) | v114(constB193)) <=> (v114(constB193) | (~v115(constB193)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33281,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB193)) | v114(constB193))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB193) | (~v115(constB193))))),
% 26.10/17.87 inference(monotonicity,[status(thm)],[33280])).
% 26.10/17.87 tff(33282,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB193)) | v114(constB193))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB193) | (~v115(constB193)))),
% 26.10/17.87 inference(transitivity,[status(thm)],[33281, 33279])).
% 26.10/17.87 tff(33283,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB193)) | v114(constB193))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33284,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB193) | (~v115(constB193))),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33283, 33282])).
% 26.10/17.87 tff(33285,plain,
% 26.10/17.87 (v114(constB193)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33284, 1022, 33278])).
% 26.10/17.87 tff(33286,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB193)) | v113(constB193))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB193)) | v113(constB193))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33287,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB193)) | v113(constB193))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33288,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB193)) | v113(constB193)),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33287, 33286])).
% 26.10/17.87 tff(33289,plain,
% 26.10/17.87 (v113(constB193)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33288, 1036, 33285])).
% 26.10/17.87 tff(33290,assumption,(v26(constB193)), introduced(assumption)).
% 26.10/17.87 tff(33291,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB193))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33292,plain,
% 26.10/17.87 ($false),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33291, 797, 33290])).
% 26.10/17.87 tff(33293,plain,(~v26(constB193)), inference(lemma,lemma(discharge,[]))).
% 26.10/17.87 tff(33294,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB193) | v112(constB193) | (~v113(constB193)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB193) | v112(constB193) | (~v113(constB193)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33295,plain,
% 26.10/17.87 ((v26(constB193) | (~v113(constB193)) | v112(constB193)) <=> (v26(constB193) | v112(constB193) | (~v113(constB193)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33296,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB193) | (~v113(constB193)) | v112(constB193))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB193) | v112(constB193) | (~v113(constB193))))),
% 26.10/17.87 inference(monotonicity,[status(thm)],[33295])).
% 26.10/17.87 tff(33297,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB193) | (~v113(constB193)) | v112(constB193))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB193) | v112(constB193) | (~v113(constB193)))),
% 26.10/17.87 inference(transitivity,[status(thm)],[33296, 33294])).
% 26.10/17.87 tff(33298,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB193) | (~v113(constB193)) | v112(constB193))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33299,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB193) | v112(constB193) | (~v113(constB193))),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33298, 33297])).
% 26.10/17.87 tff(33300,plain,
% 26.10/17.87 (v112(constB193) | (~v113(constB193))),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33299, 1050, 33293])).
% 26.10/17.87 tff(33301,plain,
% 26.10/17.87 (v112(constB193)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33300, 33289])).
% 26.10/17.87 tff(33302,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB193) | (~v112(constB193)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB193) | (~v112(constB193)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33303,plain,
% 26.10/17.87 (((~v112(constB193)) | v108(constB193)) <=> (v108(constB193) | (~v112(constB193)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33304,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB193)) | v108(constB193))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB193) | (~v112(constB193))))),
% 26.10/17.87 inference(monotonicity,[status(thm)],[33303])).
% 26.10/17.87 tff(33305,plain,
% 26.10/17.87 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB193)) | v108(constB193))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB193) | (~v112(constB193)))),
% 26.10/17.87 inference(transitivity,[status(thm)],[33304, 33302])).
% 26.10/17.87 tff(33306,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB193)) | v108(constB193))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33307,plain,
% 26.10/17.87 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB193) | (~v112(constB193))),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33306, 33305])).
% 26.10/17.87 tff(33308,plain,
% 26.10/17.87 (v108(constB193)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33307, 1062, 33301])).
% 26.10/17.87 tff(33309,plain,
% 26.10/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33310,plain,
% 26.10/17.87 (((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194)) <=> ((~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33311,plain,
% 26.10/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193))))),
% 26.10/17.87 inference(monotonicity,[status(thm)],[33310])).
% 26.10/17.87 tff(33312,plain,
% 26.10/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193)))),
% 26.10/17.87 inference(transitivity,[status(thm)],[33311, 33309])).
% 26.10/17.87 tff(33313,plain,
% 26.10/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33314,plain,
% 26.10/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193))),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33313, 33312])).
% 26.10/17.87 tff(33315,plain,
% 26.10/17.87 (v110(constB194) | (~v108(constB193))),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33314, 1082, 28439])).
% 26.10/17.87 tff(33316,plain,
% 26.10/17.87 (v110(constB194)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33315, 33308])).
% 26.10/17.87 tff(33317,plain,
% 26.10/17.87 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33318,plain,
% 26.10/17.87 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194)))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33319,plain,
% 26.10/17.87 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194))),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33318, 33317])).
% 26.10/17.87 tff(33320,plain,
% 26.10/17.87 (~v104(constB194)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33319, 1100, 28439, 28284])).
% 26.10/17.87 tff(33321,plain,
% 26.10/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB193, constB194)) | v102(constB194) | v104(constB194))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB193, constB194)) | v102(constB194) | v104(constB194))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33322,plain,
% 26.10/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB193, constB194)) | v102(constB194) | v104(constB194))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33323,plain,
% 26.10/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB193, constB194)) | v102(constB194) | v104(constB194)),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33322, 33321])).
% 26.10/17.87 tff(33324,plain,
% 26.10/17.87 (v102(constB194) | v104(constB194)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33323, 1114, 28439])).
% 26.10/17.87 tff(33325,plain,
% 26.10/17.87 (v102(constB194)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33324, 33320])).
% 26.10/17.87 tff(33326,plain,
% 26.10/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33327,plain,
% 26.10/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194)))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33328,plain,
% 26.10/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194))),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33327, 33326])).
% 26.10/17.87 tff(33329,plain,
% 26.10/17.87 (v101(constB194) | (~v102(constB194))),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33328, 1129, 28439, 20])).
% 26.10/17.87 tff(33330,plain,
% 26.10/17.87 (v101(constB194)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33329, 33325])).
% 26.10/17.87 tff(33331,plain,
% 26.10/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33332,plain,
% 26.10/17.87 (((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194)) <=> ((~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194)))),
% 26.10/17.87 inference(rewrite,[status(thm)],[])).
% 26.10/17.87 tff(33333,plain,
% 26.10/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194))))),
% 26.10/17.87 inference(monotonicity,[status(thm)],[33332])).
% 26.10/17.87 tff(33334,plain,
% 26.10/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194)))),
% 26.10/17.87 inference(transitivity,[status(thm)],[33333, 33331])).
% 26.10/17.87 tff(33335,plain,
% 26.10/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194))),
% 26.10/17.87 inference(quant_inst,[status(thm)],[])).
% 26.10/17.87 tff(33336,plain,
% 26.10/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194))),
% 26.10/17.87 inference(modus_ponens,[status(thm)],[33335, 33334])).
% 26.10/17.87 tff(33337,plain,
% 26.10/17.87 (v100(constB194) | (~v101(constB194)) | (~v110(constB194))),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33336, 1144, 28439])).
% 26.10/17.87 tff(33338,plain,
% 26.10/17.87 (v100(constB194) | (~v110(constB194))),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33337, 33330])).
% 26.10/17.87 tff(33339,plain,
% 26.10/17.87 (v100(constB194)),
% 26.10/17.87 inference(unit_resolution,[status(thm)],[33338, 33316])).
% 26.10/17.87 tff(33340,plain,
% 26.10/17.88 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB193)) | v130(constB193, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB193)) | v130(constB193, bitIndex2))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33341,plain,
% 26.10/17.88 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB193)) | v130(constB193, bitIndex2))),
% 26.10/17.88 inference(quant_inst,[status(thm)],[])).
% 26.10/17.88 tff(33342,plain,
% 26.10/17.88 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB193)) | v130(constB193, bitIndex2)),
% 26.10/17.88 inference(modus_ponens,[status(thm)],[33341, 33340])).
% 26.10/17.88 tff(33343,plain,
% 26.10/17.88 (v130(constB193, bitIndex2)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33342, 1483, 33271])).
% 26.10/17.88 tff(33344,plain,
% 26.10/17.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB193) | (~v130(constB193, bitIndex2)) | v127(constB193, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB193) | (~v130(constB193, bitIndex2)) | v127(constB193, bitIndex2))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33345,plain,
% 26.10/17.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB193) | (~v130(constB193, bitIndex2)) | v127(constB193, bitIndex2))),
% 26.10/17.88 inference(quant_inst,[status(thm)],[])).
% 26.10/17.88 tff(33346,plain,
% 26.10/17.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB193) | (~v130(constB193, bitIndex2)) | v127(constB193, bitIndex2)),
% 26.10/17.88 inference(modus_ponens,[status(thm)],[33345, 33344])).
% 26.10/17.88 tff(33347,plain,
% 26.10/17.88 ((~v130(constB193, bitIndex2)) | v127(constB193, bitIndex2)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33346, 1174, 33293])).
% 26.10/17.88 tff(33348,plain,
% 26.10/17.88 (v127(constB193, bitIndex2)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33347, 33343])).
% 26.10/17.88 tff(33349,plain,
% 26.10/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB193, constB194)) | (~v127(constB193, bitIndex2)) | v129(constB194, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB193, constB194)) | (~v127(constB193, bitIndex2)) | v129(constB194, bitIndex2))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33350,plain,
% 26.10/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB193, constB194)) | (~v127(constB193, bitIndex2)) | v129(constB194, bitIndex2))),
% 26.10/17.88 inference(quant_inst,[status(thm)],[])).
% 26.10/17.88 tff(33351,plain,
% 26.10/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB193, constB194)) | (~v127(constB193, bitIndex2)) | v129(constB194, bitIndex2)),
% 26.10/17.88 inference(modus_ponens,[status(thm)],[33350, 33349])).
% 26.10/17.88 tff(33352,plain,
% 26.10/17.88 ((~v127(constB193, bitIndex2)) | v129(constB194, bitIndex2)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33351, 1189, 28439])).
% 26.10/17.88 tff(33353,plain,
% 26.10/17.88 (v129(constB194, bitIndex2)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33352, 33348])).
% 26.10/17.88 tff(33354,plain,
% 26.10/17.88 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB194, bitIndex2) | (~v129(constB194, bitIndex2)) | (~v100(constB194)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB194, bitIndex2) | (~v129(constB194, bitIndex2)) | (~v100(constB194)))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33355,plain,
% 26.10/17.88 ((v90(constB194, bitIndex2) | (~v100(constB194)) | (~v129(constB194, bitIndex2))) <=> (v90(constB194, bitIndex2) | (~v129(constB194, bitIndex2)) | (~v100(constB194)))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33356,plain,
% 26.10/17.88 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB194, bitIndex2) | (~v100(constB194)) | (~v129(constB194, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB194, bitIndex2) | (~v129(constB194, bitIndex2)) | (~v100(constB194))))),
% 26.10/17.88 inference(monotonicity,[status(thm)],[33355])).
% 26.10/17.88 tff(33357,plain,
% 26.10/17.88 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB194, bitIndex2) | (~v100(constB194)) | (~v129(constB194, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB194, bitIndex2) | (~v129(constB194, bitIndex2)) | (~v100(constB194)))),
% 26.10/17.88 inference(transitivity,[status(thm)],[33356, 33354])).
% 26.10/17.88 tff(33358,plain,
% 26.10/17.88 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB194, bitIndex2) | (~v100(constB194)) | (~v129(constB194, bitIndex2)))),
% 26.10/17.88 inference(quant_inst,[status(thm)],[])).
% 26.10/17.88 tff(33359,plain,
% 26.10/17.88 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB194, bitIndex2) | (~v129(constB194, bitIndex2)) | (~v100(constB194))),
% 26.10/17.88 inference(modus_ponens,[status(thm)],[33358, 33357])).
% 26.10/17.88 tff(33360,plain,
% 26.10/17.88 (v90(constB194, bitIndex2) | (~v100(constB194))),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33359, 1204, 33353])).
% 26.10/17.88 tff(33361,plain,
% 26.10/17.88 (v90(constB194, bitIndex2)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33360, 33339])).
% 26.10/17.88 tff(33362,plain,
% 26.10/17.88 ((~v1(constB195)) <=> (~v1(constB195))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33363,axiom,(~v1(constB195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_195_1_1')).
% 26.10/17.88 tff(33364,plain,
% 26.10/17.88 (~v1(constB195)),
% 26.10/17.88 inference(modus_ponens,[status(thm)],[33363, 33362])).
% 26.10/17.88 tff(33365,plain,
% 26.10/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195)))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33366,plain,
% 26.10/17.88 (((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195)) <=> (v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195)))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33367,plain,
% 26.10/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195))))),
% 26.10/17.88 inference(monotonicity,[status(thm)],[33366])).
% 26.10/17.88 tff(33368,plain,
% 26.10/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195)))),
% 26.10/17.88 inference(transitivity,[status(thm)],[33367, 33365])).
% 26.10/17.88 tff(33369,plain,
% 26.10/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195))),
% 26.10/17.88 inference(quant_inst,[status(thm)],[])).
% 26.10/17.88 tff(33370,plain,
% 26.10/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195))),
% 26.10/17.88 inference(modus_ponens,[status(thm)],[33369, 33368])).
% 26.10/17.88 tff(33371,plain,
% 26.10/17.88 (~v101(constB195)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33370, 860, 28529, 33364])).
% 26.10/17.88 tff(33372,plain,
% 26.10/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195)))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33373,plain,
% 26.10/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195)))),
% 26.10/17.88 inference(quant_inst,[status(thm)],[])).
% 26.10/17.88 tff(33374,plain,
% 26.10/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195))),
% 26.10/17.88 inference(modus_ponens,[status(thm)],[33373, 33372])).
% 26.10/17.88 tff(33375,plain,
% 26.10/17.88 (v101(constB195) | (~v100(constB195))),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33374, 877, 28529])).
% 26.10/17.88 tff(33376,plain,
% 26.10/17.88 (~v100(constB195)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33375, 33371])).
% 26.10/17.88 tff(33377,plain,
% 26.10/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB194, bitIndex2)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB194, bitIndex2)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex2))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33378,plain,
% 26.10/17.88 (((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex2)) | v100(constB195) | v90(constB195, bitIndex2)) <=> ((~v90(constB194, bitIndex2)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex2))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33379,plain,
% 26.10/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex2)) | v100(constB195) | v90(constB195, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB194, bitIndex2)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex2)))),
% 26.10/17.88 inference(monotonicity,[status(thm)],[33378])).
% 26.10/17.88 tff(33380,plain,
% 26.10/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex2)) | v100(constB195) | v90(constB195, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB194, bitIndex2)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex2))),
% 26.10/17.88 inference(transitivity,[status(thm)],[33379, 33377])).
% 26.10/17.88 tff(33381,plain,
% 26.10/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex2)) | v100(constB195) | v90(constB195, bitIndex2))),
% 26.10/17.88 inference(quant_inst,[status(thm)],[])).
% 26.10/17.88 tff(33382,plain,
% 26.10/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB194, bitIndex2)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex2)),
% 26.10/17.88 inference(modus_ponens,[status(thm)],[33381, 33380])).
% 26.10/17.88 tff(33383,plain,
% 26.10/17.88 ((~v90(constB194, bitIndex2)) | v100(constB195) | v90(constB195, bitIndex2)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33382, 1240, 28529])).
% 26.10/17.88 tff(33384,plain,
% 26.10/17.88 ((~v90(constB194, bitIndex2)) | v90(constB195, bitIndex2)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33383, 33376])).
% 26.10/17.88 tff(33385,plain,
% 26.10/17.88 (v90(constB195, bitIndex2)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33384, 33361])).
% 26.10/17.88 tff(33386,plain,
% 26.10/17.88 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB195)) | (~v90(constB195, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB195)) | (~v90(constB195, bitIndex2)))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33387,plain,
% 26.10/17.88 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB195)) | (~v90(constB195, bitIndex2)))),
% 26.10/17.88 inference(quant_inst,[status(thm)],[])).
% 26.10/17.88 tff(33388,plain,
% 26.10/17.88 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB195)) | (~v90(constB195, bitIndex2))),
% 26.10/17.88 inference(modus_ponens,[status(thm)],[33387, 33386])).
% 26.10/17.88 tff(33389,plain,
% 26.10/17.88 (~v121(constB195)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33388, 1729, 33385])).
% 26.10/17.88 tff(33390,plain,
% 26.10/17.88 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB195)) | (~v90(constB195, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB195)) | (~v90(constB195, bitIndex2)))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33391,plain,
% 26.10/17.88 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB195)) | (~v90(constB195, bitIndex2)))),
% 26.10/17.88 inference(quant_inst,[status(thm)],[])).
% 26.10/17.88 tff(33392,plain,
% 26.10/17.88 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB195)) | (~v90(constB195, bitIndex2))),
% 26.10/17.88 inference(modus_ponens,[status(thm)],[33391, 33390])).
% 26.10/17.88 tff(33393,plain,
% 26.10/17.88 (~v122(constB195)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33392, 1740, 33385])).
% 26.10/17.88 tff(33394,plain,
% 26.10/17.88 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB193)) | v130(constB193, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB193)) | v130(constB193, bitIndex1))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33395,plain,
% 26.10/17.88 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB193)) | v130(constB193, bitIndex1))),
% 26.10/17.88 inference(quant_inst,[status(thm)],[])).
% 26.10/17.88 tff(33396,plain,
% 26.10/17.88 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB193)) | v130(constB193, bitIndex1)),
% 26.10/17.88 inference(modus_ponens,[status(thm)],[33395, 33394])).
% 26.10/17.88 tff(33397,plain,
% 26.10/17.88 (v130(constB193, bitIndex1)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33396, 1539, 33271])).
% 26.10/17.88 tff(33398,plain,
% 26.10/17.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB193) | (~v130(constB193, bitIndex1)) | v127(constB193, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB193) | (~v130(constB193, bitIndex1)) | v127(constB193, bitIndex1))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33399,plain,
% 26.10/17.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB193) | (~v130(constB193, bitIndex1)) | v127(constB193, bitIndex1))),
% 26.10/17.88 inference(quant_inst,[status(thm)],[])).
% 26.10/17.88 tff(33400,plain,
% 26.10/17.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB193) | (~v130(constB193, bitIndex1)) | v127(constB193, bitIndex1)),
% 26.10/17.88 inference(modus_ponens,[status(thm)],[33399, 33398])).
% 26.10/17.88 tff(33401,plain,
% 26.10/17.88 ((~v130(constB193, bitIndex1)) | v127(constB193, bitIndex1)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33400, 1553, 33293])).
% 26.10/17.88 tff(33402,plain,
% 26.10/17.88 (v127(constB193, bitIndex1)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33401, 33397])).
% 26.10/17.88 tff(33403,plain,
% 26.10/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB193, constB194)) | (~v127(constB193, bitIndex1)) | v129(constB194, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB193, constB194)) | (~v127(constB193, bitIndex1)) | v129(constB194, bitIndex1))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33404,plain,
% 26.10/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB193, constB194)) | (~v127(constB193, bitIndex1)) | v129(constB194, bitIndex1))),
% 26.10/17.88 inference(quant_inst,[status(thm)],[])).
% 26.10/17.88 tff(33405,plain,
% 26.10/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB193, constB194)) | (~v127(constB193, bitIndex1)) | v129(constB194, bitIndex1)),
% 26.10/17.88 inference(modus_ponens,[status(thm)],[33404, 33403])).
% 26.10/17.88 tff(33406,plain,
% 26.10/17.88 ((~v127(constB193, bitIndex1)) | v129(constB194, bitIndex1)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33405, 1568, 28439])).
% 26.10/17.88 tff(33407,plain,
% 26.10/17.88 (v129(constB194, bitIndex1)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33406, 33402])).
% 26.10/17.88 tff(33408,plain,
% 26.10/17.88 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB194, bitIndex1) | (~v129(constB194, bitIndex1)) | (~v100(constB194)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB194, bitIndex1) | (~v129(constB194, bitIndex1)) | (~v100(constB194)))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33409,plain,
% 26.10/17.88 ((v90(constB194, bitIndex1) | (~v100(constB194)) | (~v129(constB194, bitIndex1))) <=> (v90(constB194, bitIndex1) | (~v129(constB194, bitIndex1)) | (~v100(constB194)))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33410,plain,
% 26.10/17.88 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB194, bitIndex1) | (~v100(constB194)) | (~v129(constB194, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB194, bitIndex1) | (~v129(constB194, bitIndex1)) | (~v100(constB194))))),
% 26.10/17.88 inference(monotonicity,[status(thm)],[33409])).
% 26.10/17.88 tff(33411,plain,
% 26.10/17.88 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB194, bitIndex1) | (~v100(constB194)) | (~v129(constB194, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB194, bitIndex1) | (~v129(constB194, bitIndex1)) | (~v100(constB194)))),
% 26.10/17.88 inference(transitivity,[status(thm)],[33410, 33408])).
% 26.10/17.88 tff(33412,plain,
% 26.10/17.88 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB194, bitIndex1) | (~v100(constB194)) | (~v129(constB194, bitIndex1)))),
% 26.10/17.88 inference(quant_inst,[status(thm)],[])).
% 26.10/17.88 tff(33413,plain,
% 26.10/17.88 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB194, bitIndex1) | (~v129(constB194, bitIndex1)) | (~v100(constB194))),
% 26.10/17.88 inference(modus_ponens,[status(thm)],[33412, 33411])).
% 26.10/17.88 tff(33414,plain,
% 26.10/17.88 (v90(constB194, bitIndex1) | (~v100(constB194))),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33413, 1583, 33407])).
% 26.10/17.88 tff(33415,plain,
% 26.10/17.88 (v90(constB194, bitIndex1)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33414, 33339])).
% 26.10/17.88 tff(33416,plain,
% 26.10/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB194, bitIndex1)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB194, bitIndex1)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex1))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33417,plain,
% 26.10/17.88 (((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex1)) | v100(constB195) | v90(constB195, bitIndex1)) <=> ((~v90(constB194, bitIndex1)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex1))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33418,plain,
% 26.10/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex1)) | v100(constB195) | v90(constB195, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB194, bitIndex1)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex1)))),
% 26.10/17.88 inference(monotonicity,[status(thm)],[33417])).
% 26.10/17.88 tff(33419,plain,
% 26.10/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex1)) | v100(constB195) | v90(constB195, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB194, bitIndex1)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex1))),
% 26.10/17.88 inference(transitivity,[status(thm)],[33418, 33416])).
% 26.10/17.88 tff(33420,plain,
% 26.10/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex1)) | v100(constB195) | v90(constB195, bitIndex1))),
% 26.10/17.88 inference(quant_inst,[status(thm)],[])).
% 26.10/17.88 tff(33421,plain,
% 26.10/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB194, bitIndex1)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex1)),
% 26.10/17.88 inference(modus_ponens,[status(thm)],[33420, 33419])).
% 26.10/17.88 tff(33422,plain,
% 26.10/17.88 ((~v90(constB194, bitIndex1)) | v100(constB195) | v90(constB195, bitIndex1)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33421, 1601, 28529])).
% 26.10/17.88 tff(33423,plain,
% 26.10/17.88 ((~v90(constB194, bitIndex1)) | v90(constB195, bitIndex1)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33422, 33376])).
% 26.10/17.88 tff(33424,plain,
% 26.10/17.88 (v90(constB195, bitIndex1)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33423, 33415])).
% 26.10/17.88 tff(33425,plain,
% 26.10/17.88 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB195)) | (~v90(constB195, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB195)) | (~v90(constB195, bitIndex1)))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33426,plain,
% 26.10/17.88 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB195)) | (~v90(constB195, bitIndex1)))),
% 26.10/17.88 inference(quant_inst,[status(thm)],[])).
% 26.10/17.88 tff(33427,plain,
% 26.10/17.88 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB195)) | (~v90(constB195, bitIndex1))),
% 26.10/17.88 inference(modus_ponens,[status(thm)],[33426, 33425])).
% 26.10/17.88 tff(33428,plain,
% 26.10/17.88 (~v119(constB195)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33427, 1751, 33424])).
% 26.10/17.88 tff(33429,plain,
% 26.10/17.88 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB195)) | (~v90(constB195, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB195)) | (~v90(constB195, bitIndex1)))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33430,plain,
% 26.10/17.88 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB195)) | (~v90(constB195, bitIndex1)))),
% 26.10/17.88 inference(quant_inst,[status(thm)],[])).
% 26.10/17.88 tff(33431,plain,
% 26.10/17.88 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB195)) | (~v90(constB195, bitIndex1))),
% 26.10/17.88 inference(modus_ponens,[status(thm)],[33430, 33429])).
% 26.10/17.88 tff(33432,plain,
% 26.10/17.88 (~v120(constB195)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33431, 1762, 33424])).
% 26.10/17.88 tff(33433,plain,
% 26.10/17.88 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB195)) | (~v90(constB195, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB195)) | (~v90(constB195, bitIndex1)))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33434,plain,
% 26.10/17.88 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB195)) | (~v90(constB195, bitIndex1)))),
% 26.10/17.88 inference(quant_inst,[status(thm)],[])).
% 26.10/17.88 tff(33435,plain,
% 26.10/17.88 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB195)) | (~v90(constB195, bitIndex1))),
% 26.10/17.88 inference(modus_ponens,[status(thm)],[33434, 33433])).
% 26.10/17.88 tff(33436,plain,
% 26.10/17.88 (~v123(constB195)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33435, 1773, 33424])).
% 26.10/17.88 tff(33437,plain,
% 26.10/17.88 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB195)) | (~v90(constB195, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB195)) | (~v90(constB195, bitIndex1)))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33438,plain,
% 26.10/17.88 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB195)) | (~v90(constB195, bitIndex1)))),
% 26.10/17.88 inference(quant_inst,[status(thm)],[])).
% 26.10/17.88 tff(33439,plain,
% 26.10/17.88 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB195)) | (~v90(constB195, bitIndex1))),
% 26.10/17.88 inference(modus_ponens,[status(thm)],[33438, 33437])).
% 26.10/17.88 tff(33440,plain,
% 26.10/17.88 (~v124(constB195)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33439, 1784, 33424])).
% 26.10/17.88 tff(33441,plain,
% 26.10/17.88 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~v130(constB195, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~v130(constB195, bitIndex2)))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33442,plain,
% 26.10/17.88 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~v130(constB195, bitIndex2)))),
% 26.10/17.88 inference(quant_inst,[status(thm)],[])).
% 26.10/17.88 tff(33443,plain,
% 26.10/17.88 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~v130(constB195, bitIndex2))),
% 26.10/17.88 inference(modus_ponens,[status(thm)],[33442, 33441])).
% 26.10/17.88 tff(33444,plain,
% 26.10/17.88 (~v130(constB195, bitIndex2)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33443, 1798, 33440, 33436, 33432, 33428, 33393, 33389])).
% 26.10/17.88 tff(33445,plain,
% 26.10/17.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB195, bitIndex2)) | v26(constB195) | v130(constB195, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB195, bitIndex2)) | v26(constB195) | v130(constB195, bitIndex2))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33446,plain,
% 26.10/17.88 ((v26(constB195) | v130(constB195, bitIndex2) | (~v127(constB195, bitIndex2))) <=> ((~v127(constB195, bitIndex2)) | v26(constB195) | v130(constB195, bitIndex2))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33447,plain,
% 26.10/17.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB195) | v130(constB195, bitIndex2) | (~v127(constB195, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB195, bitIndex2)) | v26(constB195) | v130(constB195, bitIndex2)))),
% 26.10/17.88 inference(monotonicity,[status(thm)],[33446])).
% 26.10/17.88 tff(33448,plain,
% 26.10/17.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB195) | v130(constB195, bitIndex2) | (~v127(constB195, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB195, bitIndex2)) | v26(constB195) | v130(constB195, bitIndex2))),
% 26.10/17.88 inference(transitivity,[status(thm)],[33447, 33445])).
% 26.10/17.88 tff(33449,plain,
% 26.10/17.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB195) | v130(constB195, bitIndex2) | (~v127(constB195, bitIndex2)))),
% 26.10/17.88 inference(quant_inst,[status(thm)],[])).
% 26.10/17.88 tff(33450,plain,
% 26.10/17.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB195, bitIndex2)) | v26(constB195) | v130(constB195, bitIndex2)),
% 26.10/17.88 inference(modus_ponens,[status(thm)],[33449, 33448])).
% 26.10/17.88 tff(33451,plain,
% 26.10/17.88 ((~v127(constB195, bitIndex2)) | v26(constB195)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33450, 1812, 33444])).
% 26.10/17.88 tff(33452,plain,
% 26.10/17.88 (~v127(constB195, bitIndex2)),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33451, 33267])).
% 26.10/17.88 tff(33453,plain,
% 26.10/17.88 (nextState(constB195, constB196) <=> nextState(constB195, constB196)),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33454,axiom,(nextState(constB195, constB196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_195_1')).
% 26.10/17.88 tff(33455,plain,
% 26.10/17.88 (nextState(constB195, constB196)),
% 26.10/17.88 inference(modus_ponens,[status(thm)],[33454, 33453])).
% 26.10/17.88 tff(33456,plain,
% 26.10/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB195, constB196)) | v127(constB195, bitIndex2) | (~v129(constB196, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB195, constB196)) | v127(constB195, bitIndex2) | (~v129(constB196, bitIndex2)))),
% 26.10/17.88 inference(rewrite,[status(thm)],[])).
% 26.10/17.88 tff(33457,plain,
% 26.10/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB195, constB196)) | v127(constB195, bitIndex2) | (~v129(constB196, bitIndex2)))),
% 26.10/17.88 inference(quant_inst,[status(thm)],[])).
% 26.10/17.88 tff(33458,plain,
% 26.10/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB195, constB196)) | v127(constB195, bitIndex2) | (~v129(constB196, bitIndex2))),
% 26.10/17.88 inference(modus_ponens,[status(thm)],[33457, 33456])).
% 26.10/17.88 tff(33459,plain,
% 26.10/17.88 (v127(constB195, bitIndex2) | (~v129(constB196, bitIndex2))),
% 26.10/17.88 inference(unit_resolution,[status(thm)],[33458, 1830, 33455])).
% 26.10/17.88 tff(33460,plain,
% 26.10/17.88 (~v129(constB196, bitIndex2)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33459, 33452])).
% 26.10/17.89 tff(33461,plain,
% 26.10/17.89 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB193)) | (~v130(constB193, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB193)) | (~v130(constB193, bitIndex0)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33462,plain,
% 26.10/17.89 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB193)) | (~v130(constB193, bitIndex0)))),
% 26.10/17.89 inference(quant_inst,[status(thm)],[])).
% 26.10/17.89 tff(33463,plain,
% 26.10/17.89 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB193)) | (~v130(constB193, bitIndex0))),
% 26.10/17.89 inference(modus_ponens,[status(thm)],[33462, 33461])).
% 26.10/17.89 tff(33464,plain,
% 26.10/17.89 (~v130(constB193, bitIndex0)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33463, 1617, 33271])).
% 26.10/17.89 tff(33465,assumption,(~v26(constB193)), introduced(assumption)).
% 26.10/17.89 tff(33466,assumption,(v113(constB193)), introduced(assumption)).
% 26.10/17.89 tff(33467,plain,
% 26.10/17.89 (v26(constB193) | v112(constB193)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33299, 1050, 33466])).
% 26.10/17.89 tff(33468,plain,
% 26.10/17.89 (v112(constB193)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33467, 33465])).
% 26.10/17.89 tff(33469,plain,
% 26.10/17.89 (v108(constB193)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33307, 1062, 33468])).
% 26.10/17.89 tff(33470,plain,
% 26.10/17.89 (v110(constB194)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33315, 33469])).
% 26.10/17.89 tff(33471,plain,
% 26.10/17.89 (v100(constB194)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33338, 33470])).
% 26.10/17.89 tff(33472,assumption,(v130(constB193, bitIndex2)), introduced(assumption)).
% 26.10/17.89 tff(33473,plain,
% 26.10/17.89 (v26(constB193) | v127(constB193, bitIndex2)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33346, 1174, 33472])).
% 26.10/17.89 tff(33474,plain,
% 26.10/17.89 (v127(constB193, bitIndex2)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33473, 33465])).
% 26.10/17.89 tff(33475,plain,
% 26.10/17.89 (v129(constB194, bitIndex2)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33352, 33474])).
% 26.10/17.89 tff(33476,plain,
% 26.10/17.89 (v90(constB194, bitIndex2) | (~v100(constB194))),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33359, 1204, 33475])).
% 26.10/17.89 tff(33477,plain,
% 26.10/17.89 (v90(constB194, bitIndex2)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33476, 33471])).
% 26.10/17.89 tff(33478,plain,
% 26.10/17.89 (v90(constB195, bitIndex2)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33384, 33477])).
% 26.10/17.89 tff(33479,assumption,(v130(constB193, bitIndex1)), introduced(assumption)).
% 26.10/17.89 tff(33480,plain,
% 26.10/17.89 (v26(constB193) | v127(constB193, bitIndex1)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33400, 1553, 33479])).
% 26.10/17.89 tff(33481,plain,
% 26.10/17.89 (v127(constB193, bitIndex1)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33480, 33465])).
% 26.10/17.89 tff(33482,plain,
% 26.10/17.89 (v129(constB194, bitIndex1)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33406, 33481])).
% 26.10/17.89 tff(33483,plain,
% 26.10/17.89 (v90(constB194, bitIndex1) | (~v100(constB194))),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33413, 1583, 33482])).
% 26.10/17.89 tff(33484,plain,
% 26.10/17.89 (v90(constB194, bitIndex1)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33483, 33471])).
% 26.10/17.89 tff(33485,plain,
% 26.10/17.89 (v90(constB195, bitIndex1)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33423, 33484])).
% 26.10/17.89 tff(33486,assumption,(~v130(constB193, bitIndex0)), introduced(assumption)).
% 26.10/17.89 tff(33487,plain,
% 26.10/17.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB193, bitIndex0)) | v26(constB193) | v130(constB193, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB193, bitIndex0)) | v26(constB193) | v130(constB193, bitIndex0))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33488,plain,
% 26.10/17.89 ((v26(constB193) | v130(constB193, bitIndex0) | (~v127(constB193, bitIndex0))) <=> ((~v127(constB193, bitIndex0)) | v26(constB193) | v130(constB193, bitIndex0))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33489,plain,
% 26.10/17.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB193) | v130(constB193, bitIndex0) | (~v127(constB193, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB193, bitIndex0)) | v26(constB193) | v130(constB193, bitIndex0)))),
% 26.10/17.89 inference(monotonicity,[status(thm)],[33488])).
% 26.10/17.89 tff(33490,plain,
% 26.10/17.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB193) | v130(constB193, bitIndex0) | (~v127(constB193, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB193, bitIndex0)) | v26(constB193) | v130(constB193, bitIndex0))),
% 26.10/17.89 inference(transitivity,[status(thm)],[33489, 33487])).
% 26.10/17.89 tff(33491,plain,
% 26.10/17.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB193) | v130(constB193, bitIndex0) | (~v127(constB193, bitIndex0)))),
% 26.10/17.89 inference(quant_inst,[status(thm)],[])).
% 26.10/17.89 tff(33492,plain,
% 26.10/17.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB193, bitIndex0)) | v26(constB193) | v130(constB193, bitIndex0)),
% 26.10/17.89 inference(modus_ponens,[status(thm)],[33491, 33490])).
% 26.10/17.89 tff(33493,plain,
% 26.10/17.89 ((~v127(constB193, bitIndex0)) | v26(constB193)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33492, 1341, 33486])).
% 26.10/17.89 tff(33494,plain,
% 26.10/17.89 (~v127(constB193, bitIndex0)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33493, 33465])).
% 26.10/17.89 tff(33495,plain,
% 26.10/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB193, constB194)) | v127(constB193, bitIndex0) | (~v129(constB194, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB193, constB194)) | v127(constB193, bitIndex0) | (~v129(constB194, bitIndex0)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33496,plain,
% 26.10/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB193, constB194)) | v127(constB193, bitIndex0) | (~v129(constB194, bitIndex0)))),
% 26.10/17.89 inference(quant_inst,[status(thm)],[])).
% 26.10/17.89 tff(33497,plain,
% 26.10/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB193, constB194)) | v127(constB193, bitIndex0) | (~v129(constB194, bitIndex0))),
% 26.10/17.89 inference(modus_ponens,[status(thm)],[33496, 33495])).
% 26.10/17.89 tff(33498,plain,
% 26.10/17.89 (v127(constB193, bitIndex0) | (~v129(constB194, bitIndex0))),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33497, 1359, 28439])).
% 26.10/17.89 tff(33499,plain,
% 26.10/17.89 (~v129(constB194, bitIndex0)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33498, 33494])).
% 26.10/17.89 tff(33500,plain,
% 26.10/17.89 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB194, bitIndex0)) | v129(constB194, bitIndex0) | (~v100(constB194)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB194, bitIndex0)) | v129(constB194, bitIndex0) | (~v100(constB194)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33501,plain,
% 26.10/17.89 (((~v90(constB194, bitIndex0)) | (~v100(constB194)) | v129(constB194, bitIndex0)) <=> ((~v90(constB194, bitIndex0)) | v129(constB194, bitIndex0) | (~v100(constB194)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33502,plain,
% 26.10/17.89 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB194, bitIndex0)) | (~v100(constB194)) | v129(constB194, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB194, bitIndex0)) | v129(constB194, bitIndex0) | (~v100(constB194))))),
% 26.10/17.89 inference(monotonicity,[status(thm)],[33501])).
% 26.10/17.89 tff(33503,plain,
% 26.10/17.89 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB194, bitIndex0)) | (~v100(constB194)) | v129(constB194, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB194, bitIndex0)) | v129(constB194, bitIndex0) | (~v100(constB194)))),
% 26.10/17.89 inference(transitivity,[status(thm)],[33502, 33500])).
% 26.10/17.89 tff(33504,plain,
% 26.10/17.89 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB194, bitIndex0)) | (~v100(constB194)) | v129(constB194, bitIndex0))),
% 26.10/17.89 inference(quant_inst,[status(thm)],[])).
% 26.10/17.89 tff(33505,plain,
% 26.10/17.89 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB194, bitIndex0)) | v129(constB194, bitIndex0) | (~v100(constB194))),
% 26.10/17.89 inference(modus_ponens,[status(thm)],[33504, 33503])).
% 26.10/17.89 tff(33506,plain,
% 26.10/17.89 ((~v90(constB194, bitIndex0)) | (~v100(constB194))),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33505, 1374, 33499])).
% 26.10/17.89 tff(33507,plain,
% 26.10/17.89 (~v90(constB194, bitIndex0)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33506, 33471])).
% 26.10/17.89 tff(33508,plain,
% 26.10/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB194, bitIndex0) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB194, bitIndex0) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex0)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33509,plain,
% 26.10/17.89 (((~nextState(constB194, constB195)) | v90(constB194, bitIndex0) | v100(constB195) | (~v90(constB195, bitIndex0))) <=> (v90(constB194, bitIndex0) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex0)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33510,plain,
% 26.10/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB194, constB195)) | v90(constB194, bitIndex0) | v100(constB195) | (~v90(constB195, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB194, bitIndex0) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex0))))),
% 26.10/17.89 inference(monotonicity,[status(thm)],[33509])).
% 26.10/17.89 tff(33511,plain,
% 26.10/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB194, constB195)) | v90(constB194, bitIndex0) | v100(constB195) | (~v90(constB195, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB194, bitIndex0) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex0)))),
% 26.10/17.89 inference(transitivity,[status(thm)],[33510, 33508])).
% 26.10/17.89 tff(33512,plain,
% 26.10/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB194, constB195)) | v90(constB194, bitIndex0) | v100(constB195) | (~v90(constB195, bitIndex0)))),
% 26.10/17.89 inference(quant_inst,[status(thm)],[])).
% 26.10/17.89 tff(33513,plain,
% 26.10/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB194, bitIndex0) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex0))),
% 26.10/17.89 inference(modus_ponens,[status(thm)],[33512, 33511])).
% 26.10/17.89 tff(33514,plain,
% 26.10/17.89 (v90(constB194, bitIndex0) | v100(constB195) | (~v90(constB195, bitIndex0))),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33513, 934, 28529])).
% 26.10/17.89 tff(33515,plain,
% 26.10/17.89 (v90(constB194, bitIndex0) | (~v90(constB195, bitIndex0))),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33514, 33376])).
% 26.10/17.89 tff(33516,plain,
% 26.10/17.89 (~v90(constB195, bitIndex0)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33515, 33507])).
% 26.10/17.89 tff(33517,assumption,(~v125(constB195)), introduced(assumption)).
% 26.10/17.89 tff(33518,plain,
% 26.10/17.89 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex2)) | v125(constB195))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex2)) | v125(constB195))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33519,plain,
% 26.10/17.89 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex2)) | v125(constB195))),
% 26.10/17.89 inference(quant_inst,[status(thm)],[])).
% 26.10/17.89 tff(33520,plain,
% 26.10/17.89 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex2)) | v125(constB195)),
% 26.10/17.89 inference(modus_ponens,[status(thm)],[33519, 33518])).
% 26.10/17.89 tff(33521,plain,
% 26.10/17.89 (v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex2))),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33520, 1661, 33517])).
% 26.10/17.89 tff(33522,plain,
% 26.10/17.89 ($false),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33521, 33516, 33485, 33478])).
% 26.10/17.89 tff(33523,plain,(v26(constB193) | v125(constB195) | (~v113(constB193)) | (~v130(constB193, bitIndex2)) | (~v130(constB193, bitIndex1)) | v130(constB193, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 26.10/17.89 tff(33524,plain,
% 26.10/17.89 (v125(constB195) | (~v113(constB193)) | (~v130(constB193, bitIndex2)) | (~v130(constB193, bitIndex1)) | v130(constB193, bitIndex0)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33523, 33293])).
% 26.10/17.89 tff(33525,plain,
% 26.10/17.89 (v125(constB195)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33524, 33289, 33343, 33397, 33464])).
% 26.10/17.89 tff(33526,plain,
% 26.10/17.89 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB195) | (~v125(constB195)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB195) | (~v125(constB195)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33527,plain,
% 26.10/17.89 (((~v125(constB195)) | v113(constB195)) <=> (v113(constB195) | (~v125(constB195)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33528,plain,
% 26.10/17.89 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB195)) | v113(constB195))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB195) | (~v125(constB195))))),
% 26.10/17.89 inference(monotonicity,[status(thm)],[33527])).
% 26.10/17.89 tff(33529,plain,
% 26.10/17.89 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB195)) | v113(constB195))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB195) | (~v125(constB195)))),
% 26.10/17.89 inference(transitivity,[status(thm)],[33528, 33526])).
% 26.10/17.89 tff(33530,plain,
% 26.10/17.89 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB195)) | v113(constB195))),
% 26.10/17.89 inference(quant_inst,[status(thm)],[])).
% 26.10/17.89 tff(33531,plain,
% 26.10/17.89 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB195) | (~v125(constB195))),
% 26.10/17.89 inference(modus_ponens,[status(thm)],[33530, 33529])).
% 26.10/17.89 tff(33532,plain,
% 26.10/17.89 (v113(constB195)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33531, 1672, 33525])).
% 26.10/17.89 tff(33533,assumption,(~v108(constB195)), introduced(assumption)).
% 26.10/17.89 tff(33534,plain,
% 26.10/17.89 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB195) | (~v112(constB195)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB195) | (~v112(constB195)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33535,plain,
% 26.10/17.89 (((~v112(constB195)) | v108(constB195)) <=> (v108(constB195) | (~v112(constB195)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33536,plain,
% 26.10/17.89 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB195)) | v108(constB195))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB195) | (~v112(constB195))))),
% 26.10/17.89 inference(monotonicity,[status(thm)],[33535])).
% 26.10/17.89 tff(33537,plain,
% 26.10/17.89 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB195)) | v108(constB195))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB195) | (~v112(constB195)))),
% 26.10/17.89 inference(transitivity,[status(thm)],[33536, 33534])).
% 26.10/17.89 tff(33538,plain,
% 26.10/17.89 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB195)) | v108(constB195))),
% 26.10/17.89 inference(quant_inst,[status(thm)],[])).
% 26.10/17.89 tff(33539,plain,
% 26.10/17.89 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB195) | (~v112(constB195))),
% 26.10/17.89 inference(modus_ponens,[status(thm)],[33538, 33537])).
% 26.10/17.89 tff(33540,plain,
% 26.10/17.89 (~v112(constB195)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33539, 1062, 33533])).
% 26.10/17.89 tff(33541,plain,
% 26.10/17.89 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB195) | (~v26(constB195)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB195) | (~v26(constB195)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33542,plain,
% 26.10/17.89 (((~v26(constB195)) | v108(constB195)) <=> (v108(constB195) | (~v26(constB195)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33543,plain,
% 26.10/17.89 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB195)) | v108(constB195))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB195) | (~v26(constB195))))),
% 26.10/17.89 inference(monotonicity,[status(thm)],[33542])).
% 26.10/17.89 tff(33544,plain,
% 26.10/17.89 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB195)) | v108(constB195))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB195) | (~v26(constB195)))),
% 26.10/17.89 inference(transitivity,[status(thm)],[33543, 33541])).
% 26.10/17.89 tff(33545,plain,
% 26.10/17.89 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB195)) | v108(constB195))),
% 26.10/17.89 inference(quant_inst,[status(thm)],[])).
% 26.10/17.89 tff(33546,plain,
% 26.10/17.89 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB195) | (~v26(constB195))),
% 26.10/17.89 inference(modus_ponens,[status(thm)],[33545, 33544])).
% 26.10/17.89 tff(33547,plain,
% 26.10/17.89 (~v26(constB195)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33546, 2441, 33533])).
% 26.10/17.89 tff(33548,assumption,(v113(constB195)), introduced(assumption)).
% 26.10/17.89 tff(33549,plain,
% 26.10/17.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB195) | v112(constB195) | (~v113(constB195)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB195) | v112(constB195) | (~v113(constB195)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33550,plain,
% 26.10/17.89 ((v26(constB195) | (~v113(constB195)) | v112(constB195)) <=> (v26(constB195) | v112(constB195) | (~v113(constB195)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33551,plain,
% 26.10/17.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB195) | (~v113(constB195)) | v112(constB195))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB195) | v112(constB195) | (~v113(constB195))))),
% 26.10/17.89 inference(monotonicity,[status(thm)],[33550])).
% 26.10/17.89 tff(33552,plain,
% 26.10/17.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB195) | (~v113(constB195)) | v112(constB195))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB195) | v112(constB195) | (~v113(constB195)))),
% 26.10/17.89 inference(transitivity,[status(thm)],[33551, 33549])).
% 26.10/17.89 tff(33553,plain,
% 26.10/17.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB195) | (~v113(constB195)) | v112(constB195))),
% 26.10/17.89 inference(quant_inst,[status(thm)],[])).
% 26.10/17.89 tff(33554,plain,
% 26.10/17.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB195) | v112(constB195) | (~v113(constB195))),
% 26.10/17.89 inference(modus_ponens,[status(thm)],[33553, 33552])).
% 26.10/17.89 tff(33555,plain,
% 26.10/17.89 (v26(constB195) | v112(constB195)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33554, 1050, 33548])).
% 26.10/17.89 tff(33556,plain,
% 26.10/17.89 ($false),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33555, 33547, 33540])).
% 26.10/17.89 tff(33557,plain,(v108(constB195) | (~v113(constB195))), inference(lemma,lemma(discharge,[]))).
% 26.10/17.89 tff(33558,plain,
% 26.10/17.89 (v108(constB195)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33557, 33532])).
% 26.10/17.89 tff(33559,plain,
% 26.10/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33560,plain,
% 26.10/17.89 (((~nextState(constB195, constB196)) | (~v108(constB195)) | v110(constB196)) <=> ((~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33561,plain,
% 26.10/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB195, constB196)) | (~v108(constB195)) | v110(constB196))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195))))),
% 26.10/17.89 inference(monotonicity,[status(thm)],[33560])).
% 26.10/17.89 tff(33562,plain,
% 26.10/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB195, constB196)) | (~v108(constB195)) | v110(constB196))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195)))),
% 26.10/17.89 inference(transitivity,[status(thm)],[33561, 33559])).
% 26.10/17.89 tff(33563,plain,
% 26.10/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB195, constB196)) | (~v108(constB195)) | v110(constB196))),
% 26.10/17.89 inference(quant_inst,[status(thm)],[])).
% 26.10/17.89 tff(33564,plain,
% 26.10/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195))),
% 26.10/17.89 inference(modus_ponens,[status(thm)],[33563, 33562])).
% 26.10/17.89 tff(33565,plain,
% 26.10/17.89 (v110(constB196) | (~v108(constB195))),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33564, 1082, 33455])).
% 26.10/17.89 tff(33566,plain,
% 26.10/17.89 (v110(constB196)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33565, 33558])).
% 26.10/17.89 tff(33567,plain,
% 26.10/17.89 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB195) | (~nextState(constB195, constB196)) | (~v104(constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB195) | (~nextState(constB195, constB196)) | (~v104(constB196)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33568,plain,
% 26.10/17.89 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB195) | (~nextState(constB195, constB196)) | (~v104(constB196)))),
% 26.10/17.89 inference(quant_inst,[status(thm)],[])).
% 26.10/17.89 tff(33569,plain,
% 26.10/17.89 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB195) | (~nextState(constB195, constB196)) | (~v104(constB196))),
% 26.10/17.89 inference(modus_ponens,[status(thm)],[33568, 33567])).
% 26.10/17.89 tff(33570,plain,
% 26.10/17.89 (~v104(constB196)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33569, 1100, 33455, 33364])).
% 26.10/17.89 tff(33571,plain,
% 26.10/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB195, constB196)) | v102(constB196) | v104(constB196))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB195, constB196)) | v102(constB196) | v104(constB196))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33572,plain,
% 26.10/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB195, constB196)) | v102(constB196) | v104(constB196))),
% 26.10/17.89 inference(quant_inst,[status(thm)],[])).
% 26.10/17.89 tff(33573,plain,
% 26.10/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB195, constB196)) | v102(constB196) | v104(constB196)),
% 26.10/17.89 inference(modus_ponens,[status(thm)],[33572, 33571])).
% 26.10/17.89 tff(33574,plain,
% 26.10/17.89 (v102(constB196) | v104(constB196)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33573, 1114, 33455])).
% 26.10/17.89 tff(33575,plain,
% 26.10/17.89 (v102(constB196)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33574, 33570])).
% 26.10/17.89 tff(33576,plain,
% 26.10/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB195, constB196)) | v101(constB196) | (~v102(constB196)) | (~v1(constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB195, constB196)) | v101(constB196) | (~v102(constB196)) | (~v1(constB196)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33577,plain,
% 26.10/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB195, constB196)) | v101(constB196) | (~v102(constB196)) | (~v1(constB196)))),
% 26.10/17.89 inference(quant_inst,[status(thm)],[])).
% 26.10/17.89 tff(33578,plain,
% 26.10/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB195, constB196)) | v101(constB196) | (~v102(constB196)) | (~v1(constB196))),
% 26.10/17.89 inference(modus_ponens,[status(thm)],[33577, 33576])).
% 26.10/17.89 tff(33579,plain,
% 26.10/17.89 (v101(constB196) | (~v102(constB196))),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33578, 1129, 33455, 262])).
% 26.10/17.89 tff(33580,plain,
% 26.10/17.89 (v101(constB196)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33579, 33575])).
% 26.10/17.89 tff(33581,plain,
% 26.10/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33582,plain,
% 26.10/17.89 (((~nextState(constB195, constB196)) | (~v101(constB196)) | (~v110(constB196)) | v100(constB196)) <=> ((~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33583,plain,
% 26.10/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB195, constB196)) | (~v101(constB196)) | (~v110(constB196)) | v100(constB196))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196))))),
% 26.10/17.89 inference(monotonicity,[status(thm)],[33582])).
% 26.10/17.89 tff(33584,plain,
% 26.10/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB195, constB196)) | (~v101(constB196)) | (~v110(constB196)) | v100(constB196))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196)))),
% 26.10/17.89 inference(transitivity,[status(thm)],[33583, 33581])).
% 26.10/17.89 tff(33585,plain,
% 26.10/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB195, constB196)) | (~v101(constB196)) | (~v110(constB196)) | v100(constB196))),
% 26.10/17.89 inference(quant_inst,[status(thm)],[])).
% 26.10/17.89 tff(33586,plain,
% 26.10/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196))),
% 26.10/17.89 inference(modus_ponens,[status(thm)],[33585, 33584])).
% 26.10/17.89 tff(33587,plain,
% 26.10/17.89 (v100(constB196) | (~v101(constB196)) | (~v110(constB196))),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33586, 1144, 33455])).
% 26.10/17.89 tff(33588,plain,
% 26.10/17.89 (v100(constB196) | (~v110(constB196))),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33587, 33580])).
% 26.10/17.89 tff(33589,plain,
% 26.10/17.89 (v100(constB196)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33588, 33566])).
% 26.10/17.89 tff(33590,plain,
% 26.10/17.89 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB196, bitIndex2)) | v129(constB196, bitIndex2) | (~v100(constB196)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB196, bitIndex2)) | v129(constB196, bitIndex2) | (~v100(constB196)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33591,plain,
% 26.10/17.89 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB196, bitIndex2)) | v129(constB196, bitIndex2) | (~v100(constB196)))),
% 26.10/17.89 inference(quant_inst,[status(thm)],[])).
% 26.10/17.89 tff(33592,plain,
% 26.10/17.89 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB196, bitIndex2)) | v129(constB196, bitIndex2) | (~v100(constB196))),
% 26.10/17.89 inference(modus_ponens,[status(thm)],[33591, 33590])).
% 26.10/17.89 tff(33593,plain,
% 26.10/17.89 ((~v90(constB196, bitIndex2)) | v129(constB196, bitIndex2)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33592, 1845, 33589])).
% 26.10/17.89 tff(33594,plain,
% 26.10/17.89 (~v90(constB196, bitIndex2)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33593, 33460])).
% 26.10/17.89 tff(33595,plain,
% 26.10/17.89 ((~v1(constB197)) <=> (~v1(constB197))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33596,axiom,(~v1(constB197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_197_1_1')).
% 26.10/17.89 tff(33597,plain,
% 26.10/17.89 (~v1(constB197)),
% 26.10/17.89 inference(modus_ponens,[status(thm)],[33596, 33595])).
% 26.10/17.89 tff(33598,plain,
% 26.10/17.89 (nextState(constB196, constB197) <=> nextState(constB196, constB197)),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33599,axiom,(nextState(constB196, constB197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_196_1')).
% 26.10/17.89 tff(33600,plain,
% 26.10/17.89 (nextState(constB196, constB197)),
% 26.10/17.89 inference(modus_ponens,[status(thm)],[33599, 33598])).
% 26.10/17.89 tff(33601,plain,
% 26.10/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33602,plain,
% 26.10/17.89 (((~nextState(constB196, constB197)) | (~v101(constB197)) | v1(constB197)) <=> (v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33603,plain,
% 26.10/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB196, constB197)) | (~v101(constB197)) | v1(constB197))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197))))),
% 26.10/17.89 inference(monotonicity,[status(thm)],[33602])).
% 26.10/17.89 tff(33604,plain,
% 26.10/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB196, constB197)) | (~v101(constB197)) | v1(constB197))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197)))),
% 26.10/17.89 inference(transitivity,[status(thm)],[33603, 33601])).
% 26.10/17.89 tff(33605,plain,
% 26.10/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB196, constB197)) | (~v101(constB197)) | v1(constB197))),
% 26.10/17.89 inference(quant_inst,[status(thm)],[])).
% 26.10/17.89 tff(33606,plain,
% 26.10/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197))),
% 26.10/17.89 inference(modus_ponens,[status(thm)],[33605, 33604])).
% 26.10/17.89 tff(33607,plain,
% 26.10/17.89 (~v101(constB197)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33606, 860, 33600, 33597])).
% 26.10/17.89 tff(33608,plain,
% 26.10/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB196, constB197)) | v101(constB197) | (~v100(constB197)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB196, constB197)) | v101(constB197) | (~v100(constB197)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33609,plain,
% 26.10/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB196, constB197)) | v101(constB197) | (~v100(constB197)))),
% 26.10/17.89 inference(quant_inst,[status(thm)],[])).
% 26.10/17.89 tff(33610,plain,
% 26.10/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB196, constB197)) | v101(constB197) | (~v100(constB197))),
% 26.10/17.89 inference(modus_ponens,[status(thm)],[33609, 33608])).
% 26.10/17.89 tff(33611,plain,
% 26.10/17.89 (v101(constB197) | (~v100(constB197))),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33610, 877, 33600])).
% 26.10/17.89 tff(33612,plain,
% 26.10/17.89 (~v100(constB197)),
% 26.10/17.89 inference(unit_resolution,[status(thm)],[33611, 33607])).
% 26.10/17.89 tff(33613,plain,
% 26.10/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB196, bitIndex2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB196, bitIndex2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex2)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33614,plain,
% 26.10/17.89 (((~nextState(constB196, constB197)) | v90(constB196, bitIndex2) | v100(constB197) | (~v90(constB197, bitIndex2))) <=> (v90(constB196, bitIndex2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex2)))),
% 26.10/17.89 inference(rewrite,[status(thm)],[])).
% 26.10/17.89 tff(33615,plain,
% 26.10/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB196, constB197)) | v90(constB196, bitIndex2) | v100(constB197) | (~v90(constB197, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB196, bitIndex2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex2))))),
% 26.19/17.90 inference(monotonicity,[status(thm)],[33614])).
% 26.19/17.90 tff(33616,plain,
% 26.19/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB196, constB197)) | v90(constB196, bitIndex2) | v100(constB197) | (~v90(constB197, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB196, bitIndex2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex2)))),
% 26.19/17.90 inference(transitivity,[status(thm)],[33615, 33613])).
% 26.19/17.90 tff(33617,plain,
% 26.19/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB196, constB197)) | v90(constB196, bitIndex2) | v100(constB197) | (~v90(constB197, bitIndex2)))),
% 26.19/17.90 inference(quant_inst,[status(thm)],[])).
% 26.19/17.90 tff(33618,plain,
% 26.19/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB196, bitIndex2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex2))),
% 26.19/17.90 inference(modus_ponens,[status(thm)],[33617, 33616])).
% 26.19/17.90 tff(33619,plain,
% 26.19/17.90 (v90(constB196, bitIndex2) | v100(constB197) | (~v90(constB197, bitIndex2))),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33618, 892, 33600])).
% 26.19/17.90 tff(33620,plain,
% 26.19/17.90 (v90(constB196, bitIndex2) | (~v90(constB197, bitIndex2))),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33619, 33612])).
% 26.19/17.90 tff(33621,plain,
% 26.19/17.90 (~v90(constB197, bitIndex2)),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33620, 33594])).
% 26.19/17.90 tff(33622,plain,
% 26.19/17.90 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~v130(constB195, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~v130(constB195, bitIndex1)))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33623,plain,
% 26.19/17.90 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~v130(constB195, bitIndex1)))),
% 26.19/17.90 inference(quant_inst,[status(thm)],[])).
% 26.19/17.90 tff(33624,plain,
% 26.19/17.90 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~v130(constB195, bitIndex1))),
% 26.19/17.90 inference(modus_ponens,[status(thm)],[33623, 33622])).
% 26.19/17.90 tff(33625,plain,
% 26.19/17.90 (~v130(constB195, bitIndex1)),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33624, 1887, 33440, 33436, 33432, 33428, 33393, 33389])).
% 26.19/17.90 tff(33626,plain,
% 26.19/17.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB195, bitIndex1)) | v26(constB195) | v130(constB195, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB195, bitIndex1)) | v26(constB195) | v130(constB195, bitIndex1))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33627,plain,
% 26.19/17.90 ((v26(constB195) | v130(constB195, bitIndex1) | (~v127(constB195, bitIndex1))) <=> ((~v127(constB195, bitIndex1)) | v26(constB195) | v130(constB195, bitIndex1))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33628,plain,
% 26.19/17.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB195) | v130(constB195, bitIndex1) | (~v127(constB195, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB195, bitIndex1)) | v26(constB195) | v130(constB195, bitIndex1)))),
% 26.19/17.90 inference(monotonicity,[status(thm)],[33627])).
% 26.19/17.90 tff(33629,plain,
% 26.19/17.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB195) | v130(constB195, bitIndex1) | (~v127(constB195, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB195, bitIndex1)) | v26(constB195) | v130(constB195, bitIndex1))),
% 26.19/17.90 inference(transitivity,[status(thm)],[33628, 33626])).
% 26.19/17.90 tff(33630,plain,
% 26.19/17.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB195) | v130(constB195, bitIndex1) | (~v127(constB195, bitIndex1)))),
% 26.19/17.90 inference(quant_inst,[status(thm)],[])).
% 26.19/17.90 tff(33631,plain,
% 26.19/17.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB195, bitIndex1)) | v26(constB195) | v130(constB195, bitIndex1)),
% 26.19/17.90 inference(modus_ponens,[status(thm)],[33630, 33629])).
% 26.19/17.90 tff(33632,plain,
% 26.19/17.90 ((~v127(constB195, bitIndex1)) | v26(constB195)),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33631, 1270, 33625])).
% 26.19/17.90 tff(33633,plain,
% 26.19/17.90 (~v127(constB195, bitIndex1)),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33632, 33267])).
% 26.19/17.90 tff(33634,plain,
% 26.19/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB195, constB196)) | v127(constB195, bitIndex1) | (~v129(constB196, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB195, constB196)) | v127(constB195, bitIndex1) | (~v129(constB196, bitIndex1)))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33635,plain,
% 26.19/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB195, constB196)) | v127(constB195, bitIndex1) | (~v129(constB196, bitIndex1)))),
% 26.19/17.90 inference(quant_inst,[status(thm)],[])).
% 26.19/17.90 tff(33636,plain,
% 26.19/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB195, constB196)) | v127(constB195, bitIndex1) | (~v129(constB196, bitIndex1))),
% 26.19/17.90 inference(modus_ponens,[status(thm)],[33635, 33634])).
% 26.19/17.90 tff(33637,plain,
% 26.19/17.90 (v127(constB195, bitIndex1) | (~v129(constB196, bitIndex1))),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33636, 1288, 33455])).
% 26.19/17.90 tff(33638,plain,
% 26.19/17.90 (~v129(constB196, bitIndex1)),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33637, 33633])).
% 26.19/17.90 tff(33639,plain,
% 26.19/17.90 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB196, bitIndex1)) | v129(constB196, bitIndex1) | (~v100(constB196)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB196, bitIndex1)) | v129(constB196, bitIndex1) | (~v100(constB196)))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33640,plain,
% 26.19/17.90 (((~v90(constB196, bitIndex1)) | (~v100(constB196)) | v129(constB196, bitIndex1)) <=> ((~v90(constB196, bitIndex1)) | v129(constB196, bitIndex1) | (~v100(constB196)))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33641,plain,
% 26.19/17.90 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB196, bitIndex1)) | (~v100(constB196)) | v129(constB196, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB196, bitIndex1)) | v129(constB196, bitIndex1) | (~v100(constB196))))),
% 26.19/17.90 inference(monotonicity,[status(thm)],[33640])).
% 26.19/17.90 tff(33642,plain,
% 26.19/17.90 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB196, bitIndex1)) | (~v100(constB196)) | v129(constB196, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB196, bitIndex1)) | v129(constB196, bitIndex1) | (~v100(constB196)))),
% 26.19/17.90 inference(transitivity,[status(thm)],[33641, 33639])).
% 26.19/17.90 tff(33643,plain,
% 26.19/17.90 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB196, bitIndex1)) | (~v100(constB196)) | v129(constB196, bitIndex1))),
% 26.19/17.90 inference(quant_inst,[status(thm)],[])).
% 26.19/17.90 tff(33644,plain,
% 26.19/17.90 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB196, bitIndex1)) | v129(constB196, bitIndex1) | (~v100(constB196))),
% 26.19/17.90 inference(modus_ponens,[status(thm)],[33643, 33642])).
% 26.19/17.90 tff(33645,plain,
% 26.19/17.90 ((~v90(constB196, bitIndex1)) | v129(constB196, bitIndex1)),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33644, 1303, 33589])).
% 26.19/17.90 tff(33646,plain,
% 26.19/17.90 (~v90(constB196, bitIndex1)),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33645, 33638])).
% 26.19/17.90 tff(33647,plain,
% 26.19/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB196, bitIndex1) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB196, bitIndex1) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex1)))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33648,plain,
% 26.19/17.90 (((~nextState(constB196, constB197)) | v90(constB196, bitIndex1) | v100(constB197) | (~v90(constB197, bitIndex1))) <=> (v90(constB196, bitIndex1) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex1)))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33649,plain,
% 26.19/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB196, constB197)) | v90(constB196, bitIndex1) | v100(constB197) | (~v90(constB197, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB196, bitIndex1) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex1))))),
% 26.19/17.90 inference(monotonicity,[status(thm)],[33648])).
% 26.19/17.90 tff(33650,plain,
% 26.19/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB196, constB197)) | v90(constB196, bitIndex1) | v100(constB197) | (~v90(constB197, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB196, bitIndex1) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex1)))),
% 26.19/17.90 inference(transitivity,[status(thm)],[33649, 33647])).
% 26.19/17.90 tff(33651,plain,
% 26.19/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB196, constB197)) | v90(constB196, bitIndex1) | v100(constB197) | (~v90(constB197, bitIndex1)))),
% 26.19/17.90 inference(quant_inst,[status(thm)],[])).
% 26.19/17.90 tff(33652,plain,
% 26.19/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB196, bitIndex1) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex1))),
% 26.19/17.90 inference(modus_ponens,[status(thm)],[33651, 33650])).
% 26.19/17.90 tff(33653,plain,
% 26.19/17.90 (v90(constB196, bitIndex1) | v100(constB197) | (~v90(constB197, bitIndex1))),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33652, 913, 33600])).
% 26.19/17.90 tff(33654,plain,
% 26.19/17.90 (v90(constB196, bitIndex1) | (~v90(constB197, bitIndex1))),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33653, 33612])).
% 26.19/17.90 tff(33655,plain,
% 26.19/17.90 (~v90(constB197, bitIndex1)),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33654, 33646])).
% 26.19/17.90 tff(33656,plain,
% 26.19/17.90 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | v130(constB195, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | v130(constB195, bitIndex0))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33657,plain,
% 26.19/17.90 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | v130(constB195, bitIndex0))),
% 26.19/17.90 inference(quant_inst,[status(thm)],[])).
% 26.19/17.90 tff(33658,plain,
% 26.19/17.90 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | v130(constB195, bitIndex0)),
% 26.19/17.90 inference(modus_ponens,[status(thm)],[33657, 33656])).
% 26.19/17.90 tff(33659,plain,
% 26.19/17.90 (v130(constB195, bitIndex0)),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33658, 1931, 33440, 33436, 33432, 33428, 33393, 33389])).
% 26.19/17.90 tff(33660,plain,
% 26.19/17.90 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB195) | (~v130(constB195, bitIndex0)) | v127(constB195, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB195) | (~v130(constB195, bitIndex0)) | v127(constB195, bitIndex0))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33661,plain,
% 26.19/17.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB195) | (~v130(constB195, bitIndex0)) | v127(constB195, bitIndex0))),
% 26.19/17.90 inference(quant_inst,[status(thm)],[])).
% 26.19/17.90 tff(33662,plain,
% 26.19/17.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB195) | (~v130(constB195, bitIndex0)) | v127(constB195, bitIndex0)),
% 26.19/17.90 inference(modus_ponens,[status(thm)],[33661, 33660])).
% 26.19/17.90 tff(33663,plain,
% 26.19/17.90 (v26(constB195) | v127(constB195, bitIndex0)),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33662, 1945, 33659])).
% 26.19/17.90 tff(33664,plain,
% 26.19/17.90 (v127(constB195, bitIndex0)),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33663, 33267])).
% 26.19/17.90 tff(33665,plain,
% 26.19/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB195, constB196)) | (~v127(constB195, bitIndex0)) | v129(constB196, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB195, constB196)) | (~v127(constB195, bitIndex0)) | v129(constB196, bitIndex0))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33666,plain,
% 26.19/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB195, constB196)) | (~v127(constB195, bitIndex0)) | v129(constB196, bitIndex0))),
% 26.19/17.90 inference(quant_inst,[status(thm)],[])).
% 26.19/17.90 tff(33667,plain,
% 26.19/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB195, constB196)) | (~v127(constB195, bitIndex0)) | v129(constB196, bitIndex0)),
% 26.19/17.90 inference(modus_ponens,[status(thm)],[33666, 33665])).
% 26.19/17.90 tff(33668,plain,
% 26.19/17.90 ((~v127(constB195, bitIndex0)) | v129(constB196, bitIndex0)),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33667, 1960, 33455])).
% 26.19/17.90 tff(33669,plain,
% 26.19/17.90 (v129(constB196, bitIndex0)),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33668, 33664])).
% 26.19/17.90 tff(33670,plain,
% 26.19/17.90 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB196, bitIndex0) | (~v129(constB196, bitIndex0)) | (~v100(constB196)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB196, bitIndex0) | (~v129(constB196, bitIndex0)) | (~v100(constB196)))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33671,plain,
% 26.19/17.90 ((v90(constB196, bitIndex0) | (~v100(constB196)) | (~v129(constB196, bitIndex0))) <=> (v90(constB196, bitIndex0) | (~v129(constB196, bitIndex0)) | (~v100(constB196)))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33672,plain,
% 26.19/17.90 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB196, bitIndex0) | (~v100(constB196)) | (~v129(constB196, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB196, bitIndex0) | (~v129(constB196, bitIndex0)) | (~v100(constB196))))),
% 26.19/17.90 inference(monotonicity,[status(thm)],[33671])).
% 26.19/17.90 tff(33673,plain,
% 26.19/17.90 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB196, bitIndex0) | (~v100(constB196)) | (~v129(constB196, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB196, bitIndex0) | (~v129(constB196, bitIndex0)) | (~v100(constB196)))),
% 26.19/17.90 inference(transitivity,[status(thm)],[33672, 33670])).
% 26.19/17.90 tff(33674,plain,
% 26.19/17.90 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB196, bitIndex0) | (~v100(constB196)) | (~v129(constB196, bitIndex0)))),
% 26.19/17.90 inference(quant_inst,[status(thm)],[])).
% 26.19/17.90 tff(33675,plain,
% 26.19/17.90 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB196, bitIndex0) | (~v129(constB196, bitIndex0)) | (~v100(constB196))),
% 26.19/17.90 inference(modus_ponens,[status(thm)],[33674, 33673])).
% 26.19/17.90 tff(33676,plain,
% 26.19/17.90 (v90(constB196, bitIndex0) | (~v129(constB196, bitIndex0))),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33675, 1975, 33589])).
% 26.19/17.90 tff(33677,plain,
% 26.19/17.90 (v90(constB196, bitIndex0)),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33676, 33669])).
% 26.19/17.90 tff(33678,plain,
% 26.19/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB196, bitIndex0)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB196, bitIndex0)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, bitIndex0))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33679,plain,
% 26.19/17.90 (((~nextState(constB196, constB197)) | (~v90(constB196, bitIndex0)) | v100(constB197) | v90(constB197, bitIndex0)) <=> ((~v90(constB196, bitIndex0)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, bitIndex0))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33680,plain,
% 26.19/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB196, constB197)) | (~v90(constB196, bitIndex0)) | v100(constB197) | v90(constB197, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB196, bitIndex0)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, bitIndex0)))),
% 26.19/17.90 inference(monotonicity,[status(thm)],[33679])).
% 26.19/17.90 tff(33681,plain,
% 26.19/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB196, constB197)) | (~v90(constB196, bitIndex0)) | v100(constB197) | v90(constB197, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB196, bitIndex0)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, bitIndex0))),
% 26.19/17.90 inference(transitivity,[status(thm)],[33680, 33678])).
% 26.19/17.90 tff(33682,plain,
% 26.19/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB196, constB197)) | (~v90(constB196, bitIndex0)) | v100(constB197) | v90(constB197, bitIndex0))),
% 26.19/17.90 inference(quant_inst,[status(thm)],[])).
% 26.19/17.90 tff(33683,plain,
% 26.19/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB196, bitIndex0)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, bitIndex0)),
% 26.19/17.90 inference(modus_ponens,[status(thm)],[33682, 33681])).
% 26.19/17.90 tff(33684,plain,
% 26.19/17.90 ((~v90(constB196, bitIndex0)) | v100(constB197) | v90(constB197, bitIndex0)),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33683, 1993, 33600])).
% 26.19/17.90 tff(33685,plain,
% 26.19/17.90 ((~v90(constB196, bitIndex0)) | v90(constB197, bitIndex0)),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33684, 33612])).
% 26.19/17.90 tff(33686,plain,
% 26.19/17.90 (v90(constB197, bitIndex0)),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33685, 33677])).
% 26.19/17.90 tff(33687,plain,
% 26.19/17.90 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB197, bitIndex0)) | v90(constB197, bitIndex1) | v90(constB197, bitIndex2) | v120(constB197))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB197, bitIndex0)) | v90(constB197, bitIndex1) | v90(constB197, bitIndex2) | v120(constB197))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33688,plain,
% 26.19/17.90 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB197, bitIndex0)) | v90(constB197, bitIndex1) | v90(constB197, bitIndex2) | v120(constB197))),
% 26.19/17.90 inference(quant_inst,[status(thm)],[])).
% 26.19/17.90 tff(33689,plain,
% 26.19/17.90 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB197, bitIndex0)) | v90(constB197, bitIndex1) | v90(constB197, bitIndex2) | v120(constB197)),
% 26.19/17.90 inference(modus_ponens,[status(thm)],[33688, 33687])).
% 26.19/17.90 tff(33690,plain,
% 26.19/17.90 (v120(constB197)),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33689, 2012, 33686, 33655, 33621])).
% 26.19/17.90 tff(33691,plain,
% 26.19/17.90 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB197) | (~v120(constB197)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB197) | (~v120(constB197)))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33692,plain,
% 26.19/17.90 (((~v120(constB197)) | v118(constB197)) <=> (v118(constB197) | (~v120(constB197)))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33693,plain,
% 26.19/17.90 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB197)) | v118(constB197))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB197) | (~v120(constB197))))),
% 26.19/17.90 inference(monotonicity,[status(thm)],[33692])).
% 26.19/17.90 tff(33694,plain,
% 26.19/17.90 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB197)) | v118(constB197))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB197) | (~v120(constB197)))),
% 26.19/17.90 inference(transitivity,[status(thm)],[33693, 33691])).
% 26.19/17.90 tff(33695,plain,
% 26.19/17.90 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB197)) | v118(constB197))),
% 26.19/17.90 inference(quant_inst,[status(thm)],[])).
% 26.19/17.90 tff(33696,plain,
% 26.19/17.90 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB197) | (~v120(constB197))),
% 26.19/17.90 inference(modus_ponens,[status(thm)],[33695, 33694])).
% 26.19/17.90 tff(33697,plain,
% 26.19/17.90 (v118(constB197)),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33696, 2210, 33690])).
% 26.19/17.90 tff(33698,plain,
% 26.19/17.90 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB197) | (~v118(constB197)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB197) | (~v118(constB197)))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33699,plain,
% 26.19/17.90 (((~v118(constB197)) | v117(constB197)) <=> (v117(constB197) | (~v118(constB197)))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33700,plain,
% 26.19/17.90 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB197)) | v117(constB197))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB197) | (~v118(constB197))))),
% 26.19/17.90 inference(monotonicity,[status(thm)],[33699])).
% 26.19/17.90 tff(33701,plain,
% 26.19/17.90 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB197)) | v117(constB197))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB197) | (~v118(constB197)))),
% 26.19/17.90 inference(transitivity,[status(thm)],[33700, 33698])).
% 26.19/17.90 tff(33702,plain,
% 26.19/17.90 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB197)) | v117(constB197))),
% 26.19/17.90 inference(quant_inst,[status(thm)],[])).
% 26.19/17.90 tff(33703,plain,
% 26.19/17.90 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB197) | (~v118(constB197))),
% 26.19/17.90 inference(modus_ponens,[status(thm)],[33702, 33701])).
% 26.19/17.90 tff(33704,plain,
% 26.19/17.90 (v117(constB197)),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33703, 980, 33697])).
% 26.19/17.90 tff(33705,plain,
% 26.19/17.90 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB197) | (~v117(constB197)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB197) | (~v117(constB197)))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33706,plain,
% 26.19/17.90 (((~v117(constB197)) | v116(constB197)) <=> (v116(constB197) | (~v117(constB197)))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33707,plain,
% 26.19/17.90 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB197)) | v116(constB197))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB197) | (~v117(constB197))))),
% 26.19/17.90 inference(monotonicity,[status(thm)],[33706])).
% 26.19/17.90 tff(33708,plain,
% 26.19/17.90 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB197)) | v116(constB197))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB197) | (~v117(constB197)))),
% 26.19/17.90 inference(transitivity,[status(thm)],[33707, 33705])).
% 26.19/17.90 tff(33709,plain,
% 26.19/17.90 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB197)) | v116(constB197))),
% 26.19/17.90 inference(quant_inst,[status(thm)],[])).
% 26.19/17.90 tff(33710,plain,
% 26.19/17.90 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB197) | (~v117(constB197))),
% 26.19/17.90 inference(modus_ponens,[status(thm)],[33709, 33708])).
% 26.19/17.90 tff(33711,plain,
% 26.19/17.90 (v116(constB197)),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33710, 994, 33704])).
% 26.19/17.90 tff(33712,plain,
% 26.19/17.90 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB197) | (~v116(constB197)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB197) | (~v116(constB197)))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33713,plain,
% 26.19/17.90 (((~v116(constB197)) | v115(constB197)) <=> (v115(constB197) | (~v116(constB197)))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33714,plain,
% 26.19/17.90 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB197)) | v115(constB197))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB197) | (~v116(constB197))))),
% 26.19/17.90 inference(monotonicity,[status(thm)],[33713])).
% 26.19/17.90 tff(33715,plain,
% 26.19/17.90 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB197)) | v115(constB197))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB197) | (~v116(constB197)))),
% 26.19/17.90 inference(transitivity,[status(thm)],[33714, 33712])).
% 26.19/17.90 tff(33716,plain,
% 26.19/17.90 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB197)) | v115(constB197))),
% 26.19/17.90 inference(quant_inst,[status(thm)],[])).
% 26.19/17.90 tff(33717,plain,
% 26.19/17.90 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB197) | (~v116(constB197))),
% 26.19/17.90 inference(modus_ponens,[status(thm)],[33716, 33715])).
% 26.19/17.90 tff(33718,plain,
% 26.19/17.90 (v115(constB197)),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33717, 1008, 33711])).
% 26.19/17.90 tff(33719,plain,
% 26.19/17.90 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB197) | (~v115(constB197)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB197) | (~v115(constB197)))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33720,plain,
% 26.19/17.90 (((~v115(constB197)) | v114(constB197)) <=> (v114(constB197) | (~v115(constB197)))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33721,plain,
% 26.19/17.90 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB197)) | v114(constB197))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB197) | (~v115(constB197))))),
% 26.19/17.90 inference(monotonicity,[status(thm)],[33720])).
% 26.19/17.90 tff(33722,plain,
% 26.19/17.90 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB197)) | v114(constB197))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB197) | (~v115(constB197)))),
% 26.19/17.90 inference(transitivity,[status(thm)],[33721, 33719])).
% 26.19/17.90 tff(33723,plain,
% 26.19/17.90 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB197)) | v114(constB197))),
% 26.19/17.90 inference(quant_inst,[status(thm)],[])).
% 26.19/17.90 tff(33724,plain,
% 26.19/17.90 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB197) | (~v115(constB197))),
% 26.19/17.90 inference(modus_ponens,[status(thm)],[33723, 33722])).
% 26.19/17.90 tff(33725,plain,
% 26.19/17.90 (v114(constB197)),
% 26.19/17.90 inference(unit_resolution,[status(thm)],[33724, 1022, 33718])).
% 26.19/17.90 tff(33726,plain,
% 26.19/17.90 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB197) | (~v114(constB197)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB197) | (~v114(constB197)))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33727,plain,
% 26.19/17.90 (((~v114(constB197)) | v113(constB197)) <=> (v113(constB197) | (~v114(constB197)))),
% 26.19/17.90 inference(rewrite,[status(thm)],[])).
% 26.19/17.90 tff(33728,plain,
% 26.19/17.90 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB197)) | v113(constB197))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB197) | (~v114(constB197))))),
% 26.19/17.90 inference(monotonicity,[status(thm)],[33727])).
% 26.19/17.90 tff(33729,plain,
% 26.19/17.90 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB197)) | v113(constB197))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB197) | (~v114(constB197)))),
% 26.19/17.90 inference(transitivity,[status(thm)],[33728, 33726])).
% 26.19/17.90 tff(33730,plain,
% 26.19/17.90 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB197)) | v113(constB197))),
% 26.19/17.91 inference(quant_inst,[status(thm)],[])).
% 26.19/17.91 tff(33731,plain,
% 26.19/17.91 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB197) | (~v114(constB197))),
% 26.19/17.91 inference(modus_ponens,[status(thm)],[33730, 33729])).
% 26.19/17.91 tff(33732,plain,
% 26.19/17.91 (v113(constB197)),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33731, 1036, 33725])).
% 26.19/17.91 tff(33733,assumption,(v26(constB197)), introduced(assumption)).
% 26.19/17.91 tff(33734,plain,
% 26.19/17.91 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB197))),
% 26.19/17.91 inference(quant_inst,[status(thm)],[])).
% 26.19/17.91 tff(33735,plain,
% 26.19/17.91 ($false),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33734, 797, 33733])).
% 26.19/17.91 tff(33736,plain,(~v26(constB197)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.91 tff(33737,plain,
% 26.19/17.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB197) | (~v113(constB197)) | v112(constB197))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB197) | (~v113(constB197)) | v112(constB197))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33738,plain,
% 26.19/17.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB197) | (~v113(constB197)) | v112(constB197))),
% 26.19/17.91 inference(quant_inst,[status(thm)],[])).
% 26.19/17.91 tff(33739,plain,
% 26.19/17.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB197) | (~v113(constB197)) | v112(constB197)),
% 26.19/17.91 inference(modus_ponens,[status(thm)],[33738, 33737])).
% 26.19/17.91 tff(33740,plain,
% 26.19/17.91 ((~v113(constB197)) | v112(constB197)),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33739, 1050, 33736])).
% 26.19/17.91 tff(33741,plain,
% 26.19/17.91 (v112(constB197)),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33740, 33732])).
% 26.19/17.91 tff(33742,plain,
% 26.19/17.91 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB197) | (~v112(constB197)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB197) | (~v112(constB197)))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33743,plain,
% 26.19/17.91 (((~v112(constB197)) | v108(constB197)) <=> (v108(constB197) | (~v112(constB197)))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33744,plain,
% 26.19/17.91 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB197)) | v108(constB197))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB197) | (~v112(constB197))))),
% 26.19/17.91 inference(monotonicity,[status(thm)],[33743])).
% 26.19/17.91 tff(33745,plain,
% 26.19/17.91 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB197)) | v108(constB197))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB197) | (~v112(constB197)))),
% 26.19/17.91 inference(transitivity,[status(thm)],[33744, 33742])).
% 26.19/17.91 tff(33746,plain,
% 26.19/17.91 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB197)) | v108(constB197))),
% 26.19/17.91 inference(quant_inst,[status(thm)],[])).
% 26.19/17.91 tff(33747,plain,
% 26.19/17.91 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB197) | (~v112(constB197))),
% 26.19/17.91 inference(modus_ponens,[status(thm)],[33746, 33745])).
% 26.19/17.91 tff(33748,plain,
% 26.19/17.91 (v108(constB197)),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33747, 1062, 33741])).
% 26.19/17.91 tff(33749,plain,
% 26.19/17.91 (nextState(constB197, constB198) <=> nextState(constB197, constB198)),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33750,axiom,(nextState(constB197, constB198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_197_1')).
% 26.19/17.91 tff(33751,plain,
% 26.19/17.91 (nextState(constB197, constB198)),
% 26.19/17.91 inference(modus_ponens,[status(thm)],[33750, 33749])).
% 26.19/17.91 tff(33752,plain,
% 26.19/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB197, constB198)) | v110(constB198) | (~v108(constB197)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB197, constB198)) | v110(constB198) | (~v108(constB197)))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33753,plain,
% 26.19/17.91 (((~nextState(constB197, constB198)) | (~v108(constB197)) | v110(constB198)) <=> ((~nextState(constB197, constB198)) | v110(constB198) | (~v108(constB197)))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33754,plain,
% 26.19/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB197, constB198)) | (~v108(constB197)) | v110(constB198))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB197, constB198)) | v110(constB198) | (~v108(constB197))))),
% 26.19/17.91 inference(monotonicity,[status(thm)],[33753])).
% 26.19/17.91 tff(33755,plain,
% 26.19/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB197, constB198)) | (~v108(constB197)) | v110(constB198))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB197, constB198)) | v110(constB198) | (~v108(constB197)))),
% 26.19/17.91 inference(transitivity,[status(thm)],[33754, 33752])).
% 26.19/17.91 tff(33756,plain,
% 26.19/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB197, constB198)) | (~v108(constB197)) | v110(constB198))),
% 26.19/17.91 inference(quant_inst,[status(thm)],[])).
% 26.19/17.91 tff(33757,plain,
% 26.19/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB197, constB198)) | v110(constB198) | (~v108(constB197))),
% 26.19/17.91 inference(modus_ponens,[status(thm)],[33756, 33755])).
% 26.19/17.91 tff(33758,plain,
% 26.19/17.91 (v110(constB198) | (~v108(constB197))),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33757, 1082, 33751])).
% 26.19/17.91 tff(33759,plain,
% 26.19/17.91 (v110(constB198)),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33758, 33748])).
% 26.19/17.91 tff(33760,plain,
% 26.19/17.91 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB197) | (~nextState(constB197, constB198)) | (~v104(constB198)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB197) | (~nextState(constB197, constB198)) | (~v104(constB198)))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33761,plain,
% 26.19/17.91 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB197) | (~nextState(constB197, constB198)) | (~v104(constB198)))),
% 26.19/17.91 inference(quant_inst,[status(thm)],[])).
% 26.19/17.91 tff(33762,plain,
% 26.19/17.91 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB197) | (~nextState(constB197, constB198)) | (~v104(constB198))),
% 26.19/17.91 inference(modus_ponens,[status(thm)],[33761, 33760])).
% 26.19/17.91 tff(33763,plain,
% 26.19/17.91 (~v104(constB198)),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33762, 1100, 33751, 33597])).
% 26.19/17.91 tff(33764,plain,
% 26.19/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB197, constB198)) | v102(constB198) | v104(constB198))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB197, constB198)) | v102(constB198) | v104(constB198))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33765,plain,
% 26.19/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB197, constB198)) | v102(constB198) | v104(constB198))),
% 26.19/17.91 inference(quant_inst,[status(thm)],[])).
% 26.19/17.91 tff(33766,plain,
% 26.19/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB197, constB198)) | v102(constB198) | v104(constB198)),
% 26.19/17.91 inference(modus_ponens,[status(thm)],[33765, 33764])).
% 26.19/17.91 tff(33767,plain,
% 26.19/17.91 (v102(constB198) | v104(constB198)),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33766, 1114, 33751])).
% 26.19/17.91 tff(33768,plain,
% 26.19/17.91 (v102(constB198)),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33767, 33763])).
% 26.19/17.91 tff(33769,plain,
% 26.19/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB197, constB198)) | v101(constB198) | (~v102(constB198)) | (~v1(constB198)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB197, constB198)) | v101(constB198) | (~v102(constB198)) | (~v1(constB198)))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33770,plain,
% 26.19/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB197, constB198)) | v101(constB198) | (~v102(constB198)) | (~v1(constB198)))),
% 26.19/17.91 inference(quant_inst,[status(thm)],[])).
% 26.19/17.91 tff(33771,plain,
% 26.19/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB197, constB198)) | v101(constB198) | (~v102(constB198)) | (~v1(constB198))),
% 26.19/17.91 inference(modus_ponens,[status(thm)],[33770, 33769])).
% 26.19/17.91 tff(33772,plain,
% 26.19/17.91 (v101(constB198) | (~v102(constB198))),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33771, 1129, 33751, 394])).
% 26.19/17.91 tff(33773,plain,
% 26.19/17.91 (v101(constB198)),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33772, 33768])).
% 26.19/17.91 tff(33774,plain,
% 26.19/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB197, constB198)) | v100(constB198) | (~v101(constB198)) | (~v110(constB198)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB197, constB198)) | v100(constB198) | (~v101(constB198)) | (~v110(constB198)))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33775,plain,
% 26.19/17.91 (((~nextState(constB197, constB198)) | (~v101(constB198)) | (~v110(constB198)) | v100(constB198)) <=> ((~nextState(constB197, constB198)) | v100(constB198) | (~v101(constB198)) | (~v110(constB198)))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33776,plain,
% 26.19/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB197, constB198)) | (~v101(constB198)) | (~v110(constB198)) | v100(constB198))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB197, constB198)) | v100(constB198) | (~v101(constB198)) | (~v110(constB198))))),
% 26.19/17.91 inference(monotonicity,[status(thm)],[33775])).
% 26.19/17.91 tff(33777,plain,
% 26.19/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB197, constB198)) | (~v101(constB198)) | (~v110(constB198)) | v100(constB198))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB197, constB198)) | v100(constB198) | (~v101(constB198)) | (~v110(constB198)))),
% 26.19/17.91 inference(transitivity,[status(thm)],[33776, 33774])).
% 26.19/17.91 tff(33778,plain,
% 26.19/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB197, constB198)) | (~v101(constB198)) | (~v110(constB198)) | v100(constB198))),
% 26.19/17.91 inference(quant_inst,[status(thm)],[])).
% 26.19/17.91 tff(33779,plain,
% 26.19/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB197, constB198)) | v100(constB198) | (~v101(constB198)) | (~v110(constB198))),
% 26.19/17.91 inference(modus_ponens,[status(thm)],[33778, 33777])).
% 26.19/17.91 tff(33780,plain,
% 26.19/17.91 (v100(constB198) | (~v101(constB198)) | (~v110(constB198))),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33779, 1144, 33751])).
% 26.19/17.91 tff(33781,plain,
% 26.19/17.91 (v100(constB198) | (~v110(constB198))),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33780, 33773])).
% 26.19/17.91 tff(33782,plain,
% 26.19/17.91 (v100(constB198)),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33781, 33759])).
% 26.19/17.91 tff(33783,plain,
% 26.19/17.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB197)) | (~v130(constB197, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB197)) | (~v130(constB197, bitIndex2)))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33784,plain,
% 26.19/17.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB197)) | (~v130(constB197, bitIndex2)))),
% 26.19/17.91 inference(quant_inst,[status(thm)],[])).
% 26.19/17.91 tff(33785,plain,
% 26.19/17.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB197)) | (~v130(constB197, bitIndex2))),
% 26.19/17.91 inference(modus_ponens,[status(thm)],[33784, 33783])).
% 26.19/17.91 tff(33786,plain,
% 26.19/17.91 (~v130(constB197, bitIndex2)),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33785, 2231, 33690])).
% 26.19/17.91 tff(33787,plain,
% 26.19/17.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB197, bitIndex2)) | v26(constB197) | v130(constB197, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB197, bitIndex2)) | v26(constB197) | v130(constB197, bitIndex2))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33788,plain,
% 26.19/17.91 ((v26(constB197) | v130(constB197, bitIndex2) | (~v127(constB197, bitIndex2))) <=> ((~v127(constB197, bitIndex2)) | v26(constB197) | v130(constB197, bitIndex2))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33789,plain,
% 26.19/17.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB197) | v130(constB197, bitIndex2) | (~v127(constB197, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB197, bitIndex2)) | v26(constB197) | v130(constB197, bitIndex2)))),
% 26.19/17.91 inference(monotonicity,[status(thm)],[33788])).
% 26.19/17.91 tff(33790,plain,
% 26.19/17.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB197) | v130(constB197, bitIndex2) | (~v127(constB197, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB197, bitIndex2)) | v26(constB197) | v130(constB197, bitIndex2))),
% 26.19/17.91 inference(transitivity,[status(thm)],[33789, 33787])).
% 26.19/17.91 tff(33791,plain,
% 26.19/17.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB197) | v130(constB197, bitIndex2) | (~v127(constB197, bitIndex2)))),
% 26.19/17.91 inference(quant_inst,[status(thm)],[])).
% 26.19/17.91 tff(33792,plain,
% 26.19/17.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB197, bitIndex2)) | v26(constB197) | v130(constB197, bitIndex2)),
% 26.19/17.91 inference(modus_ponens,[status(thm)],[33791, 33790])).
% 26.19/17.91 tff(33793,plain,
% 26.19/17.91 ((~v127(constB197, bitIndex2)) | v130(constB197, bitIndex2)),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33792, 1812, 33736])).
% 26.19/17.91 tff(33794,plain,
% 26.19/17.91 (~v127(constB197, bitIndex2)),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33793, 33786])).
% 26.19/17.91 tff(33795,plain,
% 26.19/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB197, constB198)) | v127(constB197, bitIndex2) | (~v129(constB198, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB197, constB198)) | v127(constB197, bitIndex2) | (~v129(constB198, bitIndex2)))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33796,plain,
% 26.19/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB197, constB198)) | v127(constB197, bitIndex2) | (~v129(constB198, bitIndex2)))),
% 26.19/17.91 inference(quant_inst,[status(thm)],[])).
% 26.19/17.91 tff(33797,plain,
% 26.19/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB197, constB198)) | v127(constB197, bitIndex2) | (~v129(constB198, bitIndex2))),
% 26.19/17.91 inference(modus_ponens,[status(thm)],[33796, 33795])).
% 26.19/17.91 tff(33798,plain,
% 26.19/17.91 (v127(constB197, bitIndex2) | (~v129(constB198, bitIndex2))),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33797, 1830, 33751])).
% 26.19/17.91 tff(33799,plain,
% 26.19/17.91 (~v129(constB198, bitIndex2)),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33798, 33794])).
% 26.19/17.91 tff(33800,plain,
% 26.19/17.91 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB198, bitIndex2)) | v129(constB198, bitIndex2) | (~v100(constB198)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB198, bitIndex2)) | v129(constB198, bitIndex2) | (~v100(constB198)))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33801,plain,
% 26.19/17.91 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB198, bitIndex2)) | v129(constB198, bitIndex2) | (~v100(constB198)))),
% 26.19/17.91 inference(quant_inst,[status(thm)],[])).
% 26.19/17.91 tff(33802,plain,
% 26.19/17.91 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB198, bitIndex2)) | v129(constB198, bitIndex2) | (~v100(constB198))),
% 26.19/17.91 inference(modus_ponens,[status(thm)],[33801, 33800])).
% 26.19/17.91 tff(33803,plain,
% 26.19/17.91 ((~v90(constB198, bitIndex2)) | (~v100(constB198))),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33802, 1845, 33799])).
% 26.19/17.91 tff(33804,plain,
% 26.19/17.91 (~v90(constB198, bitIndex2)),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33803, 33782])).
% 26.19/17.91 tff(33805,plain,
% 26.19/17.91 ((~v1(constB199)) <=> (~v1(constB199))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33806,axiom,(~v1(constB199)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_199_1_1')).
% 26.19/17.91 tff(33807,plain,
% 26.19/17.91 (~v1(constB199)),
% 26.19/17.91 inference(modus_ponens,[status(thm)],[33806, 33805])).
% 26.19/17.91 tff(33808,plain,
% 26.19/17.91 (nextState(constB198, constB199) <=> nextState(constB198, constB199)),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33809,axiom,(nextState(constB198, constB199)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_198_1')).
% 26.19/17.91 tff(33810,plain,
% 26.19/17.91 (nextState(constB198, constB199)),
% 26.19/17.91 inference(modus_ponens,[status(thm)],[33809, 33808])).
% 26.19/17.91 tff(33811,plain,
% 26.19/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB199) | (~nextState(constB198, constB199)) | (~v101(constB199)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB199) | (~nextState(constB198, constB199)) | (~v101(constB199)))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33812,plain,
% 26.19/17.91 (((~nextState(constB198, constB199)) | (~v101(constB199)) | v1(constB199)) <=> (v1(constB199) | (~nextState(constB198, constB199)) | (~v101(constB199)))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33813,plain,
% 26.19/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB198, constB199)) | (~v101(constB199)) | v1(constB199))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB199) | (~nextState(constB198, constB199)) | (~v101(constB199))))),
% 26.19/17.91 inference(monotonicity,[status(thm)],[33812])).
% 26.19/17.91 tff(33814,plain,
% 26.19/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB198, constB199)) | (~v101(constB199)) | v1(constB199))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB199) | (~nextState(constB198, constB199)) | (~v101(constB199)))),
% 26.19/17.91 inference(transitivity,[status(thm)],[33813, 33811])).
% 26.19/17.91 tff(33815,plain,
% 26.19/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB198, constB199)) | (~v101(constB199)) | v1(constB199))),
% 26.19/17.91 inference(quant_inst,[status(thm)],[])).
% 26.19/17.91 tff(33816,plain,
% 26.19/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB199) | (~nextState(constB198, constB199)) | (~v101(constB199))),
% 26.19/17.91 inference(modus_ponens,[status(thm)],[33815, 33814])).
% 26.19/17.91 tff(33817,plain,
% 26.19/17.91 (~v101(constB199)),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33816, 860, 33810, 33807])).
% 26.19/17.91 tff(33818,plain,
% 26.19/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB198, constB199)) | v101(constB199) | (~v100(constB199)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB198, constB199)) | v101(constB199) | (~v100(constB199)))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33819,plain,
% 26.19/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB198, constB199)) | v101(constB199) | (~v100(constB199)))),
% 26.19/17.91 inference(quant_inst,[status(thm)],[])).
% 26.19/17.91 tff(33820,plain,
% 26.19/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB198, constB199)) | v101(constB199) | (~v100(constB199))),
% 26.19/17.91 inference(modus_ponens,[status(thm)],[33819, 33818])).
% 26.19/17.91 tff(33821,plain,
% 26.19/17.91 (v101(constB199) | (~v100(constB199))),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33820, 877, 33810])).
% 26.19/17.91 tff(33822,plain,
% 26.19/17.91 (~v100(constB199)),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33821, 33817])).
% 26.19/17.91 tff(33823,plain,
% 26.19/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB198, bitIndex2) | (~nextState(constB198, constB199)) | v100(constB199) | (~v90(constB199, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB198, bitIndex2) | (~nextState(constB198, constB199)) | v100(constB199) | (~v90(constB199, bitIndex2)))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33824,plain,
% 26.19/17.91 (((~nextState(constB198, constB199)) | v90(constB198, bitIndex2) | v100(constB199) | (~v90(constB199, bitIndex2))) <=> (v90(constB198, bitIndex2) | (~nextState(constB198, constB199)) | v100(constB199) | (~v90(constB199, bitIndex2)))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33825,plain,
% 26.19/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB198, constB199)) | v90(constB198, bitIndex2) | v100(constB199) | (~v90(constB199, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB198, bitIndex2) | (~nextState(constB198, constB199)) | v100(constB199) | (~v90(constB199, bitIndex2))))),
% 26.19/17.91 inference(monotonicity,[status(thm)],[33824])).
% 26.19/17.91 tff(33826,plain,
% 26.19/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB198, constB199)) | v90(constB198, bitIndex2) | v100(constB199) | (~v90(constB199, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB198, bitIndex2) | (~nextState(constB198, constB199)) | v100(constB199) | (~v90(constB199, bitIndex2)))),
% 26.19/17.91 inference(transitivity,[status(thm)],[33825, 33823])).
% 26.19/17.91 tff(33827,plain,
% 26.19/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB198, constB199)) | v90(constB198, bitIndex2) | v100(constB199) | (~v90(constB199, bitIndex2)))),
% 26.19/17.91 inference(quant_inst,[status(thm)],[])).
% 26.19/17.91 tff(33828,plain,
% 26.19/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB198, bitIndex2) | (~nextState(constB198, constB199)) | v100(constB199) | (~v90(constB199, bitIndex2))),
% 26.19/17.91 inference(modus_ponens,[status(thm)],[33827, 33826])).
% 26.19/17.91 tff(33829,plain,
% 26.19/17.91 (v90(constB198, bitIndex2) | v100(constB199) | (~v90(constB199, bitIndex2))),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33828, 892, 33810])).
% 26.19/17.91 tff(33830,plain,
% 26.19/17.91 (v90(constB198, bitIndex2) | (~v90(constB199, bitIndex2))),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33829, 33822])).
% 26.19/17.91 tff(33831,plain,
% 26.19/17.91 (~v90(constB199, bitIndex2)),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33830, 33804])).
% 26.19/17.91 tff(33832,plain,
% 26.19/17.91 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB199, bitIndex2)) | v90(constB199, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB199, bitIndex2)) | v90(constB199, bitIndex2))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33833,plain,
% 26.19/17.91 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB199, bitIndex2)) | v90(constB199, bitIndex2))),
% 26.19/17.91 inference(quant_inst,[status(thm)],[])).
% 26.19/17.91 tff(33834,plain,
% 26.19/17.91 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB199, bitIndex2)) | v90(constB199, bitIndex2)),
% 26.19/17.91 inference(modus_ponens,[status(thm)],[33833, 33832])).
% 26.19/17.91 tff(33835,plain,
% 26.19/17.91 (~v88(constB199, bitIndex2)),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33834, 28577, 33831])).
% 26.19/17.91 tff(33836,plain,
% 26.19/17.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB197)) | (~v130(constB197, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB197)) | (~v130(constB197, bitIndex0)))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33837,plain,
% 26.19/17.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB197)) | (~v130(constB197, bitIndex0)))),
% 26.19/17.91 inference(quant_inst,[status(thm)],[])).
% 26.19/17.91 tff(33838,plain,
% 26.19/17.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB197)) | (~v130(constB197, bitIndex0))),
% 26.19/17.91 inference(modus_ponens,[status(thm)],[33837, 33836])).
% 26.19/17.91 tff(33839,plain,
% 26.19/17.91 (~v130(constB197, bitIndex0)),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33838, 2023, 33690])).
% 26.19/17.91 tff(33840,plain,
% 26.19/17.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB197, bitIndex0)) | v26(constB197) | v130(constB197, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB197, bitIndex0)) | v26(constB197) | v130(constB197, bitIndex0))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33841,plain,
% 26.19/17.91 ((v26(constB197) | v130(constB197, bitIndex0) | (~v127(constB197, bitIndex0))) <=> ((~v127(constB197, bitIndex0)) | v26(constB197) | v130(constB197, bitIndex0))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33842,plain,
% 26.19/17.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB197) | v130(constB197, bitIndex0) | (~v127(constB197, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB197, bitIndex0)) | v26(constB197) | v130(constB197, bitIndex0)))),
% 26.19/17.91 inference(monotonicity,[status(thm)],[33841])).
% 26.19/17.91 tff(33843,plain,
% 26.19/17.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB197) | v130(constB197, bitIndex0) | (~v127(constB197, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB197, bitIndex0)) | v26(constB197) | v130(constB197, bitIndex0))),
% 26.19/17.91 inference(transitivity,[status(thm)],[33842, 33840])).
% 26.19/17.91 tff(33844,plain,
% 26.19/17.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB197) | v130(constB197, bitIndex0) | (~v127(constB197, bitIndex0)))),
% 26.19/17.91 inference(quant_inst,[status(thm)],[])).
% 26.19/17.91 tff(33845,plain,
% 26.19/17.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB197, bitIndex0)) | v26(constB197) | v130(constB197, bitIndex0)),
% 26.19/17.91 inference(modus_ponens,[status(thm)],[33844, 33843])).
% 26.19/17.91 tff(33846,plain,
% 26.19/17.91 ((~v127(constB197, bitIndex0)) | v130(constB197, bitIndex0)),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33845, 1341, 33736])).
% 26.19/17.91 tff(33847,plain,
% 26.19/17.91 (~v127(constB197, bitIndex0)),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33846, 33839])).
% 26.19/17.91 tff(33848,plain,
% 26.19/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB197, constB198)) | v127(constB197, bitIndex0) | (~v129(constB198, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB197, constB198)) | v127(constB197, bitIndex0) | (~v129(constB198, bitIndex0)))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33849,plain,
% 26.19/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB197, constB198)) | v127(constB197, bitIndex0) | (~v129(constB198, bitIndex0)))),
% 26.19/17.91 inference(quant_inst,[status(thm)],[])).
% 26.19/17.91 tff(33850,plain,
% 26.19/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB197, constB198)) | v127(constB197, bitIndex0) | (~v129(constB198, bitIndex0))),
% 26.19/17.91 inference(modus_ponens,[status(thm)],[33849, 33848])).
% 26.19/17.91 tff(33851,plain,
% 26.19/17.91 (v127(constB197, bitIndex0) | (~v129(constB198, bitIndex0))),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33850, 1359, 33751])).
% 26.19/17.91 tff(33852,plain,
% 26.19/17.91 (~v129(constB198, bitIndex0)),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33851, 33847])).
% 26.19/17.91 tff(33853,plain,
% 26.19/17.91 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB198, bitIndex0)) | v129(constB198, bitIndex0) | (~v100(constB198)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB198, bitIndex0)) | v129(constB198, bitIndex0) | (~v100(constB198)))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33854,plain,
% 26.19/17.91 (((~v90(constB198, bitIndex0)) | (~v100(constB198)) | v129(constB198, bitIndex0)) <=> ((~v90(constB198, bitIndex0)) | v129(constB198, bitIndex0) | (~v100(constB198)))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33855,plain,
% 26.19/17.91 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB198, bitIndex0)) | (~v100(constB198)) | v129(constB198, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB198, bitIndex0)) | v129(constB198, bitIndex0) | (~v100(constB198))))),
% 26.19/17.91 inference(monotonicity,[status(thm)],[33854])).
% 26.19/17.91 tff(33856,plain,
% 26.19/17.91 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB198, bitIndex0)) | (~v100(constB198)) | v129(constB198, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB198, bitIndex0)) | v129(constB198, bitIndex0) | (~v100(constB198)))),
% 26.19/17.91 inference(transitivity,[status(thm)],[33855, 33853])).
% 26.19/17.91 tff(33857,plain,
% 26.19/17.91 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB198, bitIndex0)) | (~v100(constB198)) | v129(constB198, bitIndex0))),
% 26.19/17.91 inference(quant_inst,[status(thm)],[])).
% 26.19/17.91 tff(33858,plain,
% 26.19/17.91 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB198, bitIndex0)) | v129(constB198, bitIndex0) | (~v100(constB198))),
% 26.19/17.91 inference(modus_ponens,[status(thm)],[33857, 33856])).
% 26.19/17.91 tff(33859,plain,
% 26.19/17.91 ((~v90(constB198, bitIndex0)) | (~v100(constB198))),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33858, 1374, 33852])).
% 26.19/17.91 tff(33860,plain,
% 26.19/17.91 (~v90(constB198, bitIndex0)),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33859, 33782])).
% 26.19/17.91 tff(33861,plain,
% 26.19/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB198, bitIndex0) | (~nextState(constB198, constB199)) | v100(constB199) | (~v90(constB199, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB198, bitIndex0) | (~nextState(constB198, constB199)) | v100(constB199) | (~v90(constB199, bitIndex0)))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33862,plain,
% 26.19/17.91 (((~nextState(constB198, constB199)) | v90(constB198, bitIndex0) | v100(constB199) | (~v90(constB199, bitIndex0))) <=> (v90(constB198, bitIndex0) | (~nextState(constB198, constB199)) | v100(constB199) | (~v90(constB199, bitIndex0)))),
% 26.19/17.91 inference(rewrite,[status(thm)],[])).
% 26.19/17.91 tff(33863,plain,
% 26.19/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB198, constB199)) | v90(constB198, bitIndex0) | v100(constB199) | (~v90(constB199, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB198, bitIndex0) | (~nextState(constB198, constB199)) | v100(constB199) | (~v90(constB199, bitIndex0))))),
% 26.19/17.91 inference(monotonicity,[status(thm)],[33862])).
% 26.19/17.91 tff(33864,plain,
% 26.19/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB198, constB199)) | v90(constB198, bitIndex0) | v100(constB199) | (~v90(constB199, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB198, bitIndex0) | (~nextState(constB198, constB199)) | v100(constB199) | (~v90(constB199, bitIndex0)))),
% 26.19/17.91 inference(transitivity,[status(thm)],[33863, 33861])).
% 26.19/17.91 tff(33865,plain,
% 26.19/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB198, constB199)) | v90(constB198, bitIndex0) | v100(constB199) | (~v90(constB199, bitIndex0)))),
% 26.19/17.91 inference(quant_inst,[status(thm)],[])).
% 26.19/17.91 tff(33866,plain,
% 26.19/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB198, bitIndex0) | (~nextState(constB198, constB199)) | v100(constB199) | (~v90(constB199, bitIndex0))),
% 26.19/17.91 inference(modus_ponens,[status(thm)],[33865, 33864])).
% 26.19/17.91 tff(33867,plain,
% 26.19/17.91 (v90(constB198, bitIndex0) | v100(constB199) | (~v90(constB199, bitIndex0))),
% 26.19/17.91 inference(unit_resolution,[status(thm)],[33866, 934, 33810])).
% 26.19/17.92 tff(33868,plain,
% 26.19/17.92 (v90(constB198, bitIndex0) | (~v90(constB199, bitIndex0))),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33867, 33822])).
% 26.19/17.92 tff(33869,plain,
% 26.19/17.92 (~v90(constB199, bitIndex0)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33868, 33860])).
% 26.19/17.92 tff(33870,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB199, bitIndex0)) | v90(constB199, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB199, bitIndex0)) | v90(constB199, bitIndex0))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33871,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB199, bitIndex0)) | v90(constB199, bitIndex0))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(33872,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB199, bitIndex0)) | v90(constB199, bitIndex0)),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[33871, 33870])).
% 26.19/17.92 tff(33873,plain,
% 26.19/17.92 (~v88(constB199, bitIndex0)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33872, 23809, 33869])).
% 26.19/17.92 tff(33874,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB197)) | v130(constB197, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB197)) | v130(constB197, bitIndex1))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33875,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB197)) | v130(constB197, bitIndex1))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(33876,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB197)) | v130(constB197, bitIndex1)),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[33875, 33874])).
% 26.19/17.92 tff(33877,plain,
% 26.19/17.92 (v130(constB197, bitIndex1)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33876, 2034, 33690])).
% 26.19/17.92 tff(33878,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB197) | (~v130(constB197, bitIndex1)) | v127(constB197, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB197) | (~v130(constB197, bitIndex1)) | v127(constB197, bitIndex1))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33879,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB197) | (~v130(constB197, bitIndex1)) | v127(constB197, bitIndex1))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(33880,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB197) | (~v130(constB197, bitIndex1)) | v127(constB197, bitIndex1)),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[33879, 33878])).
% 26.19/17.92 tff(33881,plain,
% 26.19/17.92 ((~v130(constB197, bitIndex1)) | v127(constB197, bitIndex1)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33880, 1553, 33736])).
% 26.19/17.92 tff(33882,plain,
% 26.19/17.92 (v127(constB197, bitIndex1)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33881, 33877])).
% 26.19/17.92 tff(33883,plain,
% 26.19/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB197, constB198)) | (~v127(constB197, bitIndex1)) | v129(constB198, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB197, constB198)) | (~v127(constB197, bitIndex1)) | v129(constB198, bitIndex1))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33884,plain,
% 26.19/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB197, constB198)) | (~v127(constB197, bitIndex1)) | v129(constB198, bitIndex1))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(33885,plain,
% 26.19/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB197, constB198)) | (~v127(constB197, bitIndex1)) | v129(constB198, bitIndex1)),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[33884, 33883])).
% 26.19/17.92 tff(33886,plain,
% 26.19/17.92 ((~v127(constB197, bitIndex1)) | v129(constB198, bitIndex1)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33885, 1568, 33751])).
% 26.19/17.92 tff(33887,plain,
% 26.19/17.92 (v129(constB198, bitIndex1)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33886, 33882])).
% 26.19/17.92 tff(33888,plain,
% 26.19/17.92 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB198, bitIndex1) | (~v129(constB198, bitIndex1)) | (~v100(constB198)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB198, bitIndex1) | (~v129(constB198, bitIndex1)) | (~v100(constB198)))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33889,plain,
% 26.19/17.92 ((v90(constB198, bitIndex1) | (~v100(constB198)) | (~v129(constB198, bitIndex1))) <=> (v90(constB198, bitIndex1) | (~v129(constB198, bitIndex1)) | (~v100(constB198)))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33890,plain,
% 26.19/17.92 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB198, bitIndex1) | (~v100(constB198)) | (~v129(constB198, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB198, bitIndex1) | (~v129(constB198, bitIndex1)) | (~v100(constB198))))),
% 26.19/17.92 inference(monotonicity,[status(thm)],[33889])).
% 26.19/17.92 tff(33891,plain,
% 26.19/17.92 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB198, bitIndex1) | (~v100(constB198)) | (~v129(constB198, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB198, bitIndex1) | (~v129(constB198, bitIndex1)) | (~v100(constB198)))),
% 26.19/17.92 inference(transitivity,[status(thm)],[33890, 33888])).
% 26.19/17.92 tff(33892,plain,
% 26.19/17.92 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB198, bitIndex1) | (~v100(constB198)) | (~v129(constB198, bitIndex1)))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(33893,plain,
% 26.19/17.92 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB198, bitIndex1) | (~v129(constB198, bitIndex1)) | (~v100(constB198))),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[33892, 33891])).
% 26.19/17.92 tff(33894,plain,
% 26.19/17.92 (v90(constB198, bitIndex1) | (~v100(constB198))),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33893, 1583, 33887])).
% 26.19/17.92 tff(33895,plain,
% 26.19/17.92 (v90(constB198, bitIndex1)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33894, 33782])).
% 26.19/17.92 tff(33896,plain,
% 26.19/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB198, bitIndex1)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB198, bitIndex1)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, bitIndex1))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33897,plain,
% 26.19/17.92 (((~nextState(constB198, constB199)) | (~v90(constB198, bitIndex1)) | v100(constB199) | v90(constB199, bitIndex1)) <=> ((~v90(constB198, bitIndex1)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, bitIndex1))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33898,plain,
% 26.19/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB198, constB199)) | (~v90(constB198, bitIndex1)) | v100(constB199) | v90(constB199, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB198, bitIndex1)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, bitIndex1)))),
% 26.19/17.92 inference(monotonicity,[status(thm)],[33897])).
% 26.19/17.92 tff(33899,plain,
% 26.19/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB198, constB199)) | (~v90(constB198, bitIndex1)) | v100(constB199) | v90(constB199, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB198, bitIndex1)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, bitIndex1))),
% 26.19/17.92 inference(transitivity,[status(thm)],[33898, 33896])).
% 26.19/17.92 tff(33900,plain,
% 26.19/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB198, constB199)) | (~v90(constB198, bitIndex1)) | v100(constB199) | v90(constB199, bitIndex1))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(33901,plain,
% 26.19/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB198, bitIndex1)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, bitIndex1)),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[33900, 33899])).
% 26.19/17.92 tff(33902,plain,
% 26.19/17.92 ((~v90(constB198, bitIndex1)) | v100(constB199) | v90(constB199, bitIndex1)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33901, 1601, 33810])).
% 26.19/17.92 tff(33903,plain,
% 26.19/17.92 ((~v90(constB198, bitIndex1)) | v90(constB199, bitIndex1)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33902, 33822])).
% 26.19/17.92 tff(33904,plain,
% 26.19/17.92 (v90(constB199, bitIndex1)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33903, 33895])).
% 26.19/17.92 tff(33905,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB199, bitIndex1)) | v88(constB199, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB199, bitIndex1)) | v88(constB199, bitIndex1))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33906,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB199, bitIndex1)) | v88(constB199, bitIndex1))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(33907,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB199, bitIndex1)) | v88(constB199, bitIndex1)),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[33906, 33905])).
% 26.19/17.92 tff(33908,plain,
% 26.19/17.92 (v88(constB199, bitIndex1)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33907, 28592, 33904])).
% 26.19/17.92 tff(33909,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB199, bitIndex0) | v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v143(constB199))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB199, bitIndex0) | v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v143(constB199))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33910,plain,
% 26.19/17.92 ((v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v88(constB199, bitIndex0) | v143(constB199)) <=> (v88(constB199, bitIndex0) | v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v143(constB199))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33911,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v88(constB199, bitIndex0) | v143(constB199))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB199, bitIndex0) | v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v143(constB199)))),
% 26.19/17.92 inference(monotonicity,[status(thm)],[33910])).
% 26.19/17.92 tff(33912,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v88(constB199, bitIndex0) | v143(constB199))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB199, bitIndex0) | v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v143(constB199))),
% 26.19/17.92 inference(transitivity,[status(thm)],[33911, 33909])).
% 26.19/17.92 tff(33913,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v88(constB199, bitIndex0) | v143(constB199))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(33914,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB199, bitIndex0) | v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v143(constB199)),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[33913, 33912])).
% 26.19/17.92 tff(33915,plain,
% 26.19/17.92 (v143(constB199)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33914, 28606, 33908, 33873, 33835])).
% 26.19/17.92 tff(33916,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB199)) | v142(constB199))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB199)) | v142(constB199))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33917,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB199)) | v142(constB199))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(33918,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB199)) | v142(constB199)),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[33917, 33916])).
% 26.19/17.92 tff(33919,plain,
% 26.19/17.92 (v142(constB199)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33918, 28620, 33915])).
% 26.19/17.92 tff(33920,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB199)) | v148(constB199))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB199)) | v148(constB199))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33921,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB199)) | v148(constB199))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(33922,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB199)) | v148(constB199)),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[33921, 33920])).
% 26.19/17.92 tff(33923,plain,
% 26.19/17.92 (v148(constB199)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33922, 29217, 33919])).
% 26.19/17.92 tff(33924,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (v167(constB199) | (~v142(constB199)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB199) | (~v142(constB199)))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33925,plain,
% 26.19/17.92 (((~v142(constB199)) | v167(constB199)) <=> (v167(constB199) | (~v142(constB199)))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33926,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB199)) | v167(constB199))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (v167(constB199) | (~v142(constB199))))),
% 26.19/17.92 inference(monotonicity,[status(thm)],[33925])).
% 26.19/17.92 tff(33927,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB199)) | v167(constB199))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB199) | (~v142(constB199)))),
% 26.19/17.92 inference(transitivity,[status(thm)],[33926, 33924])).
% 26.19/17.92 tff(33928,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB199)) | v167(constB199))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(33929,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB199) | (~v142(constB199))),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[33928, 33927])).
% 26.19/17.92 tff(33930,plain,
% 26.19/17.92 (v167(constB199)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33929, 28631, 33919])).
% 26.19/17.92 tff(33931,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB199) | (~v167(constB199)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB199) | (~v167(constB199)))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33932,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB199) | (~v167(constB199)))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(33933,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB199) | (~v167(constB199))),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[33932, 33931])).
% 26.19/17.92 tff(33934,plain,
% 26.19/17.92 (v166(constB199)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33933, 28645, 33930])).
% 26.19/17.92 tff(33935,plain,
% 26.19/17.92 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB199) | (~v166(constB199)) | (~v148(constB199)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB199) | (~v166(constB199)) | (~v148(constB199)))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33936,plain,
% 26.19/17.92 (((~v148(constB199)) | v86(constB199) | (~v166(constB199))) <=> (v86(constB199) | (~v166(constB199)) | (~v148(constB199)))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33937,plain,
% 26.19/17.92 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB199)) | v86(constB199) | (~v166(constB199)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB199) | (~v166(constB199)) | (~v148(constB199))))),
% 26.19/17.92 inference(monotonicity,[status(thm)],[33936])).
% 26.19/17.92 tff(33938,plain,
% 26.19/17.92 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB199)) | v86(constB199) | (~v166(constB199)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB199) | (~v166(constB199)) | (~v148(constB199)))),
% 26.19/17.92 inference(transitivity,[status(thm)],[33937, 33935])).
% 26.19/17.92 tff(33939,plain,
% 26.19/17.92 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB199)) | v86(constB199) | (~v166(constB199)))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(33940,plain,
% 26.19/17.92 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB199) | (~v166(constB199)) | (~v148(constB199))),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[33939, 33938])).
% 26.19/17.92 tff(33941,plain,
% 26.19/17.92 (v86(constB199)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33940, 29242, 33934, 33923])).
% 26.19/17.92 tff(33942,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | ((~v203(constB199)) | (~v86(constB199)))) <=> ((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | (~v203(constB199)) | (~v86(constB199)))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33943,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | ((~v203(constB199)) | (~v86(constB199)))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(33944,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | (~v203(constB199)) | (~v86(constB199))),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[33943, 33942])).
% 26.19/17.92 tff(33945,plain,
% 26.19/17.92 (~v203(constB199)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33944, 29256, 33941])).
% 26.19/17.92 tff(33946,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | (v203(constB199) | (~v202(constB199)))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | v203(constB199) | (~v202(constB199)))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33947,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | (v203(constB199) | (~v202(constB199)))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(33948,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | v203(constB199) | (~v202(constB199))),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[33947, 33946])).
% 26.19/17.92 tff(33949,plain,
% 26.19/17.92 (~v202(constB199)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33948, 29270, 33945])).
% 26.19/17.92 tff(33950,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | (v202(constB199) | (~v201(constB199)))) <=> ((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | v202(constB199) | (~v201(constB199)))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33951,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | (v202(constB199) | (~v201(constB199)))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(33952,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | v202(constB199) | (~v201(constB199))),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[33951, 33950])).
% 26.19/17.92 tff(33953,plain,
% 26.19/17.92 (~v201(constB199)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33952, 29284, 33949])).
% 26.19/17.92 tff(33954,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB198)) | (~v185(constB198)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB198)) | (~v185(constB198)))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33955,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB198)) | (~v185(constB198)))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(33956,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB198)) | (~v185(constB198))),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[33955, 33954])).
% 26.19/17.92 tff(33957,plain,
% 26.19/17.92 (~v185(constB198)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33956, 24010, 394])).
% 26.19/17.92 tff(33958,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB198) | (~v184(constB198)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB198) | (~v184(constB198)))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33959,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB198) | (~v184(constB198)))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(33960,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB198) | (~v184(constB198))),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[33959, 33958])).
% 26.19/17.92 tff(33961,plain,
% 26.19/17.92 (~v184(constB198)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33960, 24024, 33957])).
% 26.19/17.92 tff(33962,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB198) | (~v180(constB198)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB198) | (~v180(constB198)))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33963,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB198) | (~v180(constB198)))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(33964,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB198) | (~v180(constB198))),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[33963, 33962])).
% 26.19/17.92 tff(33965,plain,
% 26.19/17.92 (~v180(constB198)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33964, 23899, 33961])).
% 26.19/17.92 tff(33966,plain,
% 26.19/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB198, constB199)) | v180(constB198) | (~v182(constB199)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB198, constB199)) | v180(constB198) | (~v182(constB199)))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33967,plain,
% 26.19/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB198, constB199)) | v180(constB198) | (~v182(constB199)))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(33968,plain,
% 26.19/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB198, constB199)) | v180(constB198) | (~v182(constB199))),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[33967, 33966])).
% 26.19/17.92 tff(33969,plain,
% 26.19/17.92 (v180(constB198) | (~v182(constB199))),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33968, 23916, 33810])).
% 26.19/17.92 tff(33970,plain,
% 26.19/17.92 (~v182(constB199)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33969, 33965])).
% 26.19/17.92 tff(33971,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB199) | (~v205(constB199)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB199) | (~v205(constB199)))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33972,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB199) | (~v205(constB199)))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(33973,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB199) | (~v205(constB199))),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[33972, 33971])).
% 26.19/17.92 tff(33974,plain,
% 26.19/17.92 (~v205(constB199)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33973, 24139, 33970])).
% 26.19/17.92 tff(33975,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB199) | v205(constB199) | (~v200(constB199)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB199) | v205(constB199) | (~v200(constB199)))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33976,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB199) | v205(constB199) | (~v200(constB199)))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(33977,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB199) | v205(constB199) | (~v200(constB199))),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[33976, 33975])).
% 26.19/17.92 tff(33978,plain,
% 26.19/17.92 (v201(constB199) | (~v200(constB199))),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33977, 24153, 33974])).
% 26.19/17.92 tff(33979,plain,
% 26.19/17.92 (~v200(constB199)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33978, 33953])).
% 26.19/17.92 tff(33980,plain,
% 26.19/17.92 ($false),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33979, 33263])).
% 26.19/17.92 tff(33981,plain,(~(constB199 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.92 tff(33982,assumption,(constB7 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.92 tff(33983,plain,
% 26.19/17.92 (v200(constB7) <=> v200(sK0_VarCurr)),
% 26.19/17.92 inference(monotonicity,[status(thm)],[33982])).
% 26.19/17.92 tff(33984,plain,
% 26.19/17.92 (v200(sK0_VarCurr) <=> v200(constB7)),
% 26.19/17.92 inference(symmetry,[status(thm)],[33983])).
% 26.19/17.92 tff(33985,plain,
% 26.19/17.92 (v200(constB7)),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[788, 33984])).
% 26.19/17.92 tff(33986,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB5, bitIndex0)) | v90(constB5, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB5, bitIndex0)) | v90(constB5, bitIndex0))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33987,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB5, bitIndex0)) | v90(constB5, bitIndex0))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(33988,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB5, bitIndex0)) | v90(constB5, bitIndex0)),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[33987, 33986])).
% 26.19/17.92 tff(33989,plain,
% 26.19/17.92 (~v88(constB5, bitIndex0)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33988, 23809, 1651])).
% 26.19/17.92 tff(33990,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB5, bitIndex2)) | v88(constB5, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB5, bitIndex2)) | v88(constB5, bitIndex2))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33991,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB5, bitIndex2)) | v88(constB5, bitIndex2))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(33992,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB5, bitIndex2)) | v88(constB5, bitIndex2)),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[33991, 33990])).
% 26.19/17.92 tff(33993,plain,
% 26.19/17.92 (v88(constB5, bitIndex2)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33992, 23683, 1532])).
% 26.19/17.92 tff(33994,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB5, bitIndex1)) | v88(constB5, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB5, bitIndex1)) | v88(constB5, bitIndex1))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33995,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB5, bitIndex1)) | v88(constB5, bitIndex1))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(33996,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB5, bitIndex1)) | v88(constB5, bitIndex1)),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[33995, 33994])).
% 26.19/17.92 tff(33997,plain,
% 26.19/17.92 (v88(constB5, bitIndex1)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[33996, 28592, 1610])).
% 26.19/17.92 tff(33998,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2)) | v144(constB5))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2)) | v144(constB5))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(33999,plain,
% 26.19/17.92 (((~v88(constB5, bitIndex2)) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0) | v144(constB5)) <=> (v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2)) | v144(constB5))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(34000,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB5, bitIndex2)) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0) | v144(constB5))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2)) | v144(constB5)))),
% 26.19/17.92 inference(monotonicity,[status(thm)],[33999])).
% 26.19/17.92 tff(34001,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB5, bitIndex2)) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0) | v144(constB5))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2)) | v144(constB5))),
% 26.19/17.92 inference(transitivity,[status(thm)],[34000, 33998])).
% 26.19/17.92 tff(34002,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB5, bitIndex2)) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0) | v144(constB5))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(34003,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2)) | v144(constB5)),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[34002, 34001])).
% 26.19/17.92 tff(34004,plain,
% 26.19/17.92 (v144(constB5)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[34003, 30257, 33997, 33993, 33989])).
% 26.19/17.92 tff(34005,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB5)) | v142(constB5))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB5)) | v142(constB5))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(34006,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB5)) | v142(constB5))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(34007,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB5)) | v142(constB5)),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[34006, 34005])).
% 26.19/17.92 tff(34008,plain,
% 26.19/17.92 (v142(constB5)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[34007, 30271, 34004])).
% 26.19/17.92 tff(34009,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (v167(constB5) | (~v142(constB5)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB5) | (~v142(constB5)))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(34010,plain,
% 26.19/17.92 (((~v142(constB5)) | v167(constB5)) <=> (v167(constB5) | (~v142(constB5)))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(34011,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB5)) | v167(constB5))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (v167(constB5) | (~v142(constB5))))),
% 26.19/17.92 inference(monotonicity,[status(thm)],[34010])).
% 26.19/17.92 tff(34012,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB5)) | v167(constB5))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB5) | (~v142(constB5)))),
% 26.19/17.92 inference(transitivity,[status(thm)],[34011, 34009])).
% 26.19/17.92 tff(34013,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB5)) | v167(constB5))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(34014,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB5) | (~v142(constB5))),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[34013, 34012])).
% 26.19/17.92 tff(34015,plain,
% 26.19/17.92 (v167(constB5)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[34014, 28631, 34008])).
% 26.19/17.92 tff(34016,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB5) | (~v167(constB5)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB5) | (~v167(constB5)))),
% 26.19/17.92 inference(rewrite,[status(thm)],[])).
% 26.19/17.92 tff(34017,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB5) | (~v167(constB5)))),
% 26.19/17.92 inference(quant_inst,[status(thm)],[])).
% 26.19/17.92 tff(34018,plain,
% 26.19/17.92 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB5) | (~v167(constB5))),
% 26.19/17.92 inference(modus_ponens,[status(thm)],[34017, 34016])).
% 26.19/17.92 tff(34019,plain,
% 26.19/17.92 (v166(constB5)),
% 26.19/17.92 inference(unit_resolution,[status(thm)],[34018, 28645, 34015])).
% 26.19/17.92 tff(34020,plain,
% 26.19/17.92 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v139(constB5)) | (~v88(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v139(constB5)) | (~v88(constB5, bitIndex1)))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34021,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v139(constB5)) | (~v88(constB5, bitIndex1)))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34022,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v139(constB5)) | (~v88(constB5, bitIndex1))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34021, 34020])).
% 26.19/17.93 tff(34023,plain,
% 26.19/17.93 (~v139(constB5)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34022, 28656, 33997])).
% 26.19/17.93 tff(34024,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB5)) | (~v88(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB5)) | (~v88(constB5, bitIndex1)))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34025,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v140(constB5)) | (~v88(constB5, bitIndex1)))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34026,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v140(constB5)) | (~v88(constB5, bitIndex1))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34025, 34024])).
% 26.19/17.93 tff(34027,plain,
% 26.19/17.93 (~v140(constB5)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34026, 28667, 33997])).
% 26.19/17.93 tff(34028,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB5) | v140(constB5) | (~v170(constB5)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB5) | v140(constB5) | (~v170(constB5)))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34029,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB5) | v140(constB5) | (~v170(constB5)))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34030,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB5) | v140(constB5) | (~v170(constB5))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34029, 34028])).
% 26.19/17.93 tff(34031,plain,
% 26.19/17.93 (~v170(constB5)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34030, 23719, 34027, 34023])).
% 26.19/17.93 tff(34032,plain,
% 26.19/17.93 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB5)) | (~v166(constB5)) | v170(constB5))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB5)) | (~v166(constB5)) | v170(constB5))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34033,plain,
% 26.19/17.93 (((~v166(constB5)) | v170(constB5) | (~v163(constB5))) <=> ((~v163(constB5)) | (~v166(constB5)) | v170(constB5))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34034,plain,
% 26.19/17.93 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB5)) | v170(constB5) | (~v163(constB5)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB5)) | (~v166(constB5)) | v170(constB5)))),
% 26.19/17.93 inference(monotonicity,[status(thm)],[34033])).
% 26.19/17.93 tff(34035,plain,
% 26.19/17.93 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB5)) | v170(constB5) | (~v163(constB5)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB5)) | (~v166(constB5)) | v170(constB5))),
% 26.19/17.93 inference(transitivity,[status(thm)],[34034, 34032])).
% 26.19/17.93 tff(34036,plain,
% 26.19/17.93 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB5)) | v170(constB5) | (~v163(constB5)))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34037,plain,
% 26.19/17.93 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB5)) | (~v166(constB5)) | v170(constB5)),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34036, 34035])).
% 26.19/17.93 tff(34038,plain,
% 26.19/17.93 ((~v163(constB5)) | (~v166(constB5))),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34037, 23868, 34031])).
% 26.19/17.93 tff(34039,plain,
% 26.19/17.93 (~v163(constB5)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34038, 34019])).
% 26.19/17.93 tff(34040,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB5) | (~v184(constB5)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB5) | (~v184(constB5)))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34041,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB5) | (~v184(constB5)))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34042,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB5) | (~v184(constB5))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34041, 34040])).
% 26.19/17.93 tff(34043,plain,
% 26.19/17.93 (~v184(constB5)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34042, 23885, 34039])).
% 26.19/17.93 tff(34044,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB5) | (~v180(constB5)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB5) | (~v180(constB5)))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34045,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB5) | (~v180(constB5)))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34046,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB5) | (~v180(constB5))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34045, 34044])).
% 26.19/17.93 tff(34047,plain,
% 26.19/17.93 (~v180(constB5)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34046, 23899, 34043])).
% 26.19/17.93 tff(34048,plain,
% 26.19/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB5, constB6)) | v180(constB5) | (~v182(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB5, constB6)) | v180(constB5) | (~v182(constB6)))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34049,plain,
% 26.19/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB5, constB6)) | v180(constB5) | (~v182(constB6)))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34050,plain,
% 26.19/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB5, constB6)) | v180(constB5) | (~v182(constB6))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34049, 34048])).
% 26.19/17.93 tff(34051,plain,
% 26.19/17.93 (v180(constB5) | (~v182(constB6))),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34050, 23916, 1691])).
% 26.19/17.93 tff(34052,plain,
% 26.19/17.93 (~v182(constB6)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34051, 34047])).
% 26.19/17.93 tff(34053,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB6) | (~v196(constB6)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB6) | (~v196(constB6)))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34054,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB6) | (~v196(constB6)))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34055,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB6) | (~v196(constB6))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34054, 34053])).
% 26.19/17.93 tff(34056,plain,
% 26.19/17.93 (~v196(constB6)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34055, 23931, 34052])).
% 26.19/17.93 tff(34057,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB3, bitIndex2)) | v88(constB3, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB3, bitIndex2)) | v88(constB3, bitIndex2))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34058,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB3, bitIndex2)) | v88(constB3, bitIndex2))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34059,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB3, bitIndex2)) | v88(constB3, bitIndex2)),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34058, 34057])).
% 26.19/17.93 tff(34060,plain,
% 26.19/17.93 (v88(constB3, bitIndex2)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34059, 23683, 1249])).
% 26.19/17.93 tff(34061,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v139(constB3)) | (~v88(constB3, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v139(constB3)) | (~v88(constB3, bitIndex2)))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34062,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v139(constB3)) | (~v88(constB3, bitIndex2)))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34063,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v139(constB3)) | (~v88(constB3, bitIndex2))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34062, 34061])).
% 26.19/17.93 tff(34064,plain,
% 26.19/17.93 (~v139(constB3)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34063, 23694, 34060])).
% 26.19/17.93 tff(34065,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v140(constB3)) | (~v88(constB3, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v140(constB3)) | (~v88(constB3, bitIndex2)))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34066,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v140(constB3)) | (~v88(constB3, bitIndex2)))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34067,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v140(constB3)) | (~v88(constB3, bitIndex2))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34066, 34065])).
% 26.19/17.93 tff(34068,plain,
% 26.19/17.93 (~v140(constB3)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34067, 23705, 34060])).
% 26.19/17.93 tff(34069,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB3) | v140(constB3) | (~v170(constB3)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB3) | v140(constB3) | (~v170(constB3)))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34070,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB3) | v140(constB3) | (~v170(constB3)))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34071,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB3) | v140(constB3) | (~v170(constB3))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34070, 34069])).
% 26.19/17.93 tff(34072,plain,
% 26.19/17.93 (~v170(constB3)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34071, 23719, 34068, 34064])).
% 26.19/17.93 tff(34073,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB3, bitIndex1)) | v90(constB3, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB3, bitIndex1)) | v90(constB3, bitIndex1))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34074,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB3, bitIndex1)) | v90(constB3, bitIndex1))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34075,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB3, bitIndex1)) | v90(constB3, bitIndex1)),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34074, 34073])).
% 26.19/17.93 tff(34076,plain,
% 26.19/17.93 (~v88(constB3, bitIndex1)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34075, 23764, 1320])).
% 26.19/17.93 tff(34077,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB3, bitIndex0)) | v90(constB3, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB3, bitIndex0)) | v90(constB3, bitIndex0))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34078,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB3, bitIndex0)) | v90(constB3, bitIndex0))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34079,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB3, bitIndex0)) | v90(constB3, bitIndex0)),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34078, 34077])).
% 26.19/17.93 tff(34080,plain,
% 26.19/17.93 (~v88(constB3, bitIndex0)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34079, 23809, 1391])).
% 26.19/17.93 tff(34081,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB3, bitIndex0) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex2)) | v146(constB3))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB3, bitIndex0) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex2)) | v146(constB3))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34082,plain,
% 26.19/17.93 (((~v88(constB3, bitIndex2)) | v88(constB3, bitIndex1) | v88(constB3, bitIndex0) | v146(constB3)) <=> (v88(constB3, bitIndex0) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex2)) | v146(constB3))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34083,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB3, bitIndex2)) | v88(constB3, bitIndex1) | v88(constB3, bitIndex0) | v146(constB3))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB3, bitIndex0) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex2)) | v146(constB3)))),
% 26.19/17.93 inference(monotonicity,[status(thm)],[34082])).
% 26.19/17.93 tff(34084,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB3, bitIndex2)) | v88(constB3, bitIndex1) | v88(constB3, bitIndex0) | v146(constB3))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB3, bitIndex0) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex2)) | v146(constB3))),
% 26.19/17.93 inference(transitivity,[status(thm)],[34083, 34081])).
% 26.19/17.93 tff(34085,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB3, bitIndex2)) | v88(constB3, bitIndex1) | v88(constB3, bitIndex0) | v146(constB3))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34086,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB3, bitIndex0) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex2)) | v146(constB3)),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34085, 34084])).
% 26.19/17.93 tff(34087,plain,
% 26.19/17.93 (v146(constB3)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34086, 23823, 34060, 34080, 34076])).
% 26.19/17.93 tff(34088,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB3) | (~v146(constB3)))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB3) | (~v146(constB3)))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34089,plain,
% 26.19/17.93 (((~v146(constB3)) | v145(constB3)) <=> (v145(constB3) | (~v146(constB3)))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34090,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB3)) | v145(constB3))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB3) | (~v146(constB3))))),
% 26.19/17.93 inference(monotonicity,[status(thm)],[34089])).
% 26.19/17.93 tff(34091,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB3)) | v145(constB3))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB3) | (~v146(constB3)))),
% 26.19/17.93 inference(transitivity,[status(thm)],[34090, 34088])).
% 26.19/17.93 tff(34092,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB3)) | v145(constB3))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34093,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB3) | (~v146(constB3))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34092, 34091])).
% 26.19/17.93 tff(34094,plain,
% 26.19/17.93 (v145(constB3)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34093, 23837, 34087])).
% 26.19/17.93 tff(34095,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | (v166(constB3) | (~v145(constB3)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB3) | (~v145(constB3)))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34096,plain,
% 26.19/17.93 (((~v145(constB3)) | v166(constB3)) <=> (v166(constB3) | (~v145(constB3)))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34097,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB3)) | v166(constB3))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | (v166(constB3) | (~v145(constB3))))),
% 26.19/17.93 inference(monotonicity,[status(thm)],[34096])).
% 26.19/17.93 tff(34098,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB3)) | v166(constB3))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB3) | (~v145(constB3)))),
% 26.19/17.93 inference(transitivity,[status(thm)],[34097, 34095])).
% 26.19/17.93 tff(34099,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB3)) | v166(constB3))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34100,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB3) | (~v145(constB3))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34099, 34098])).
% 26.19/17.93 tff(34101,plain,
% 26.19/17.93 (v166(constB3)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34100, 23851, 34094])).
% 26.19/17.93 tff(34102,plain,
% 26.19/17.93 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB3)) | (~v166(constB3)) | v170(constB3))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB3)) | (~v166(constB3)) | v170(constB3))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34103,plain,
% 26.19/17.93 (((~v166(constB3)) | v170(constB3) | (~v163(constB3))) <=> ((~v163(constB3)) | (~v166(constB3)) | v170(constB3))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34104,plain,
% 26.19/17.93 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB3)) | v170(constB3) | (~v163(constB3)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB3)) | (~v166(constB3)) | v170(constB3)))),
% 26.19/17.93 inference(monotonicity,[status(thm)],[34103])).
% 26.19/17.93 tff(34105,plain,
% 26.19/17.93 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB3)) | v170(constB3) | (~v163(constB3)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB3)) | (~v166(constB3)) | v170(constB3))),
% 26.19/17.93 inference(transitivity,[status(thm)],[34104, 34102])).
% 26.19/17.93 tff(34106,plain,
% 26.19/17.93 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB3)) | v170(constB3) | (~v163(constB3)))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34107,plain,
% 26.19/17.93 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB3)) | (~v166(constB3)) | v170(constB3)),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34106, 34105])).
% 26.19/17.93 tff(34108,plain,
% 26.19/17.93 (~v163(constB3)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34107, 23868, 34101, 34072])).
% 26.19/17.93 tff(34109,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB3) | (~v184(constB3)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB3) | (~v184(constB3)))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34110,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB3) | (~v184(constB3)))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34111,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB3) | (~v184(constB3))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34110, 34109])).
% 26.19/17.93 tff(34112,plain,
% 26.19/17.93 (~v184(constB3)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34111, 23885, 34108])).
% 26.19/17.93 tff(34113,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB3) | (~v180(constB3)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB3) | (~v180(constB3)))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34114,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB3) | (~v180(constB3)))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34115,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB3) | (~v180(constB3))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34114, 34113])).
% 26.19/17.93 tff(34116,plain,
% 26.19/17.93 (~v180(constB3)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34115, 23899, 34112])).
% 26.19/17.93 tff(34117,plain,
% 26.19/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB3, constB4)) | v180(constB3) | (~v182(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB3, constB4)) | v180(constB3) | (~v182(constB4)))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34118,plain,
% 26.19/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB3, constB4)) | v180(constB3) | (~v182(constB4)))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34119,plain,
% 26.19/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB3, constB4)) | v180(constB3) | (~v182(constB4))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34118, 34117])).
% 26.19/17.93 tff(34120,plain,
% 26.19/17.93 (v180(constB3) | (~v182(constB4))),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34119, 23916, 1445])).
% 26.19/17.93 tff(34121,plain,
% 26.19/17.93 (~v182(constB4)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34120, 34116])).
% 26.19/17.93 tff(34122,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB4) | (~v196(constB4)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB4) | (~v196(constB4)))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34123,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB4) | (~v196(constB4)))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34124,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB4) | (~v196(constB4))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34123, 34122])).
% 26.19/17.93 tff(34125,plain,
% 26.19/17.93 (~v196(constB4)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34124, 23931, 34121])).
% 26.19/17.93 tff(34126,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB1, bitIndex2)) | v90(constB1, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB1, bitIndex2)) | v90(constB1, bitIndex2))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34127,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB1, bitIndex2)) | v90(constB1, bitIndex2))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34128,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB1, bitIndex2)) | v90(constB1, bitIndex2)),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34127, 34126])).
% 26.19/17.93 tff(34129,plain,
% 26.19/17.93 (~v88(constB1, bitIndex2)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34128, 28577, 903])).
% 26.19/17.93 tff(34130,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB1, bitIndex1)) | v90(constB1, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB1, bitIndex1)) | v90(constB1, bitIndex1))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34131,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB1, bitIndex1)) | v90(constB1, bitIndex1))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34132,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB1, bitIndex1)) | v90(constB1, bitIndex1)),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34131, 34130])).
% 26.19/17.93 tff(34133,plain,
% 26.19/17.93 (~v88(constB1, bitIndex1)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34132, 23764, 924])).
% 26.19/17.93 tff(34134,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB1, bitIndex0)) | v90(constB1, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB1, bitIndex0)) | v90(constB1, bitIndex0))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34135,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB1, bitIndex0)) | v90(constB1, bitIndex0))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34136,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB1, bitIndex0)) | v90(constB1, bitIndex0)),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34135, 34134])).
% 26.19/17.93 tff(34137,plain,
% 26.19/17.93 (~v88(constB1, bitIndex0)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34136, 23809, 945])).
% 26.19/17.93 tff(34138,plain,
% 26.19/17.93 (^[VarCurr: state_type] : refl((v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr)))),
% 26.19/17.93 inference(bind,[status(th)],[])).
% 26.19/17.93 tff(34139,plain,
% 26.19/17.93 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 26.19/17.93 inference(quant_intro,[status(thm)],[34138])).
% 26.19/17.93 tff(34140,plain,
% 26.19/17.93 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34141,plain,
% 26.19/17.93 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex2)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0))), ((((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex2)) | v139(VarCurr)) <=> ((v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0)) | v139(VarCurr)))), rewrite(((v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0)) | v139(VarCurr)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))), ((((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex2)) | v139(VarCurr)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))))),
% 26.19/17.93 inference(bind,[status(th)],[])).
% 26.19/17.93 tff(34142,plain,
% 26.19/17.93 (![VarCurr: state_type] : (((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex2)) | v139(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 26.19/17.93 inference(quant_intro,[status(thm)],[34141])).
% 26.19/17.93 tff(34143,axiom,(![VarCurr: state_type] : (((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex2)) | v139(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_1')).
% 26.19/17.93 tff(34144,plain,
% 26.19/17.93 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34143, 34142])).
% 26.19/17.93 tff(34145,plain,
% 26.19/17.93 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34144, 34140])).
% 26.19/17.93 tff(34146,plain,(
% 26.19/17.93 ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 26.19/17.93 inference(skolemize,[status(sab)],[34145])).
% 26.19/17.93 tff(34147,plain,
% 26.19/17.93 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34146, 34139])).
% 26.19/17.93 tff(34148,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | (v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2) | v139(constB1))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2) | v139(constB1))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34149,plain,
% 26.19/17.93 ((v88(constB1, bitIndex2) | v88(constB1, bitIndex1) | v88(constB1, bitIndex0) | v139(constB1)) <=> (v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2) | v139(constB1))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34150,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | (v88(constB1, bitIndex2) | v88(constB1, bitIndex1) | v88(constB1, bitIndex0) | v139(constB1))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | (v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2) | v139(constB1)))),
% 26.19/17.93 inference(monotonicity,[status(thm)],[34149])).
% 26.19/17.93 tff(34151,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | (v88(constB1, bitIndex2) | v88(constB1, bitIndex1) | v88(constB1, bitIndex0) | v139(constB1))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2) | v139(constB1))),
% 26.19/17.93 inference(transitivity,[status(thm)],[34150, 34148])).
% 26.19/17.93 tff(34152,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | (v88(constB1, bitIndex2) | v88(constB1, bitIndex1) | v88(constB1, bitIndex0) | v139(constB1))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34153,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2) | v139(constB1)),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34152, 34151])).
% 26.19/17.93 tff(34154,plain,
% 26.19/17.93 (v139(constB1)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34153, 34147, 34137, 34133, 34129])).
% 26.19/17.93 tff(34155,plain,
% 26.19/17.93 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | v169(VarCurr)) <=> ((~v139(VarCurr)) | v169(VarCurr)))),
% 26.19/17.93 inference(bind,[status(th)],[])).
% 26.19/17.93 tff(34156,plain,
% 26.19/17.93 (![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr)) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))),
% 26.19/17.93 inference(quant_intro,[status(thm)],[34155])).
% 26.19/17.93 tff(34157,plain,
% 26.19/17.93 (![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr)) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34158,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_36_1_2')).
% 26.19/17.93 tff(34159,plain,
% 26.19/17.93 (![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34158, 34157])).
% 26.19/17.93 tff(34160,plain,(
% 26.19/17.93 ![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))),
% 26.19/17.93 inference(skolemize,[status(sab)],[34159])).
% 26.19/17.93 tff(34161,plain,
% 26.19/17.93 (![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34160, 34156])).
% 26.19/17.93 tff(34162,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | (v169(constB1) | (~v139(constB1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | v169(constB1) | (~v139(constB1)))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34163,plain,
% 26.19/17.93 (((~v139(constB1)) | v169(constB1)) <=> (v169(constB1) | (~v139(constB1)))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34164,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | ((~v139(constB1)) | v169(constB1))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | (v169(constB1) | (~v139(constB1))))),
% 26.19/17.93 inference(monotonicity,[status(thm)],[34163])).
% 26.19/17.93 tff(34165,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | ((~v139(constB1)) | v169(constB1))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | v169(constB1) | (~v139(constB1)))),
% 26.19/17.93 inference(transitivity,[status(thm)],[34164, 34162])).
% 26.19/17.93 tff(34166,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | ((~v139(constB1)) | v169(constB1))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34167,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | v169(constB1) | (~v139(constB1))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34166, 34165])).
% 26.19/17.93 tff(34168,plain,
% 26.19/17.93 (v169(constB1)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34167, 34161, 34154])).
% 26.19/17.93 tff(34169,plain,
% 26.19/17.93 (^[VarCurr: state_type] : refl((v168(VarCurr) | (~v169(VarCurr))) <=> (v168(VarCurr) | (~v169(VarCurr))))),
% 26.19/17.93 inference(bind,[status(th)],[])).
% 26.19/17.93 tff(34170,plain,
% 26.19/17.93 (![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr))) <=> ![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))),
% 26.19/17.93 inference(quant_intro,[status(thm)],[34169])).
% 26.19/17.93 tff(34171,plain,
% 26.19/17.93 (![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr))) <=> ![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34172,plain,
% 26.19/17.93 (^[VarCurr: state_type] : rewrite(((~v169(VarCurr)) | v168(VarCurr)) <=> (v168(VarCurr) | (~v169(VarCurr))))),
% 26.19/17.93 inference(bind,[status(th)],[])).
% 26.19/17.93 tff(34173,plain,
% 26.19/17.93 (![VarCurr: state_type] : ((~v169(VarCurr)) | v168(VarCurr)) <=> ![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))),
% 26.19/17.93 inference(quant_intro,[status(thm)],[34172])).
% 26.19/17.93 tff(34174,axiom,(![VarCurr: state_type] : ((~v169(VarCurr)) | v168(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_37_1_1_1')).
% 26.19/17.93 tff(34175,plain,
% 26.19/17.93 (![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34174, 34173])).
% 26.19/17.93 tff(34176,plain,
% 26.19/17.93 (![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34175, 34171])).
% 26.19/17.93 tff(34177,plain,(
% 26.19/17.93 ![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))),
% 26.19/17.93 inference(skolemize,[status(sab)],[34176])).
% 26.19/17.93 tff(34178,plain,
% 26.19/17.93 (![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34177, 34170])).
% 26.19/17.93 tff(34179,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB1) | (~v169(constB1)))) <=> ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB1) | (~v169(constB1)))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34180,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB1) | (~v169(constB1)))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34181,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB1) | (~v169(constB1))),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34180, 34179])).
% 26.19/17.93 tff(34182,plain,
% 26.19/17.93 (v168(constB1)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34181, 34178, 34168])).
% 26.19/17.93 tff(34183,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB1)) | v167(constB1))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB1)) | v167(constB1))),
% 26.19/17.93 inference(rewrite,[status(thm)],[])).
% 26.19/17.93 tff(34184,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB1)) | v167(constB1))),
% 26.19/17.93 inference(quant_inst,[status(thm)],[])).
% 26.19/17.93 tff(34185,plain,
% 26.19/17.93 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB1)) | v167(constB1)),
% 26.19/17.93 inference(modus_ponens,[status(thm)],[34184, 34183])).
% 26.19/17.93 tff(34186,plain,
% 26.19/17.93 (v167(constB1)),
% 26.19/17.93 inference(unit_resolution,[status(thm)],[34185, 28873, 34182])).
% 26.19/17.93 tff(34187,plain,
% 26.19/17.93 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB1) | (~v167(constB1)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB1) | (~v167(constB1)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34188,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB1) | (~v167(constB1)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34189,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB1) | (~v167(constB1))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34188, 34187])).
% 26.19/17.94 tff(34190,plain,
% 26.19/17.94 (v166(constB1)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34189, 28645, 34186])).
% 26.19/17.94 tff(34191,plain,
% 26.19/17.94 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | (~v170(VarCurr))) <=> ((~v139(VarCurr)) | (~v170(VarCurr))))),
% 26.19/17.94 inference(bind,[status(th)],[])).
% 26.19/17.94 tff(34192,plain,
% 26.19/17.94 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v170(VarCurr))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v170(VarCurr)))),
% 26.19/17.94 inference(quant_intro,[status(thm)],[34191])).
% 26.19/17.94 tff(34193,plain,
% 26.19/17.94 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v170(VarCurr))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v170(VarCurr)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34194,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) | (~v170(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_3_1_1')).
% 26.19/17.94 tff(34195,plain,
% 26.19/17.94 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v170(VarCurr)))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34194, 34193])).
% 26.19/17.94 tff(34196,plain,(
% 26.19/17.94 ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v170(VarCurr)))),
% 26.19/17.94 inference(skolemize,[status(sab)],[34195])).
% 26.19/17.94 tff(34197,plain,
% 26.19/17.94 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v170(VarCurr)))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34196, 34192])).
% 26.19/17.94 tff(34198,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v170(VarCurr)))) | ((~v139(constB1)) | (~v170(constB1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v170(VarCurr)))) | (~v139(constB1)) | (~v170(constB1)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34199,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v170(VarCurr)))) | ((~v139(constB1)) | (~v170(constB1)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34200,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v170(VarCurr)))) | (~v139(constB1)) | (~v170(constB1))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34199, 34198])).
% 26.19/17.94 tff(34201,plain,
% 26.19/17.94 (~v170(constB1)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34200, 34197, 34154])).
% 26.19/17.94 tff(34202,plain,
% 26.19/17.94 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB1)) | v170(constB1) | (~v166(constB1)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB1)) | v170(constB1) | (~v166(constB1)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34203,plain,
% 26.19/17.94 (((~v166(constB1)) | v170(constB1) | (~v163(constB1))) <=> ((~v163(constB1)) | v170(constB1) | (~v166(constB1)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34204,plain,
% 26.19/17.94 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB1)) | v170(constB1) | (~v163(constB1)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB1)) | v170(constB1) | (~v166(constB1))))),
% 26.19/17.94 inference(monotonicity,[status(thm)],[34203])).
% 26.19/17.94 tff(34205,plain,
% 26.19/17.94 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB1)) | v170(constB1) | (~v163(constB1)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB1)) | v170(constB1) | (~v166(constB1)))),
% 26.19/17.94 inference(transitivity,[status(thm)],[34204, 34202])).
% 26.19/17.94 tff(34206,plain,
% 26.19/17.94 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB1)) | v170(constB1) | (~v163(constB1)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34207,plain,
% 26.19/17.94 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB1)) | v170(constB1) | (~v166(constB1))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34206, 34205])).
% 26.19/17.94 tff(34208,plain,
% 26.19/17.94 ((~v163(constB1)) | (~v166(constB1))),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34207, 23868, 34201])).
% 26.19/17.94 tff(34209,plain,
% 26.19/17.94 (~v163(constB1)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34208, 34190])).
% 26.19/17.94 tff(34210,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB1) | (~v184(constB1)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB1) | (~v184(constB1)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34211,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB1) | (~v184(constB1)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34212,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB1) | (~v184(constB1))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34211, 34210])).
% 26.19/17.94 tff(34213,plain,
% 26.19/17.94 (~v184(constB1)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34212, 23885, 34209])).
% 26.19/17.94 tff(34214,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB1) | (~v180(constB1)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB1) | (~v180(constB1)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34215,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB1) | (~v180(constB1)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34216,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB1) | (~v180(constB1))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34215, 34214])).
% 26.19/17.94 tff(34217,plain,
% 26.19/17.94 (~v180(constB1)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34216, 23899, 34213])).
% 26.19/17.94 tff(34218,plain,
% 26.19/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB1, constB2)) | v180(constB1) | (~v182(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB1, constB2)) | v180(constB1) | (~v182(constB2)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34219,plain,
% 26.19/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB1, constB2)) | v180(constB1) | (~v182(constB2)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34220,plain,
% 26.19/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB1, constB2)) | v180(constB1) | (~v182(constB2))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34219, 34218])).
% 26.19/17.94 tff(34221,plain,
% 26.19/17.94 (v180(constB1) | (~v182(constB2))),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34220, 23916, 1072])).
% 26.19/17.94 tff(34222,plain,
% 26.19/17.94 (~v182(constB2)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34221, 34217])).
% 26.19/17.94 tff(34223,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB2) | (~v196(constB2)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB2) | (~v196(constB2)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34224,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB2) | (~v196(constB2)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34225,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB2) | (~v196(constB2))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34224, 34223])).
% 26.19/17.94 tff(34226,plain,
% 26.19/17.94 (~v196(constB2)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34225, 23931, 34222])).
% 26.19/17.94 tff(34227,plain,
% 26.19/17.94 ((~v182(constB0)) <=> (~v182(constB0))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34228,axiom,(~v182(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_7_1_1_1')).
% 26.19/17.94 tff(34229,plain,
% 26.19/17.94 (~v182(constB0)),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34228, 34227])).
% 26.19/17.94 tff(34230,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB0) | (~v196(constB0)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB0) | (~v196(constB0)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34231,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB0) | (~v196(constB0)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34232,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB0) | (~v196(constB0))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34231, 34230])).
% 26.19/17.94 tff(34233,plain,
% 26.19/17.94 (~v196(constB0)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34232, 34229, 23931])).
% 26.19/17.94 tff(34234,plain,
% 26.19/17.94 ((~v192(constB0)) <=> (~v192(constB0))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34235,axiom,(~v192(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_8_1_1_1')).
% 26.19/17.94 tff(34236,plain,
% 26.19/17.94 (~v192(constB0)),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34235, 34234])).
% 26.19/17.94 tff(34237,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB0) | (~v193(constB0)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB0) | (~v193(constB0)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34238,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB0) | (~v193(constB0)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34239,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB0) | (~v193(constB0))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34238, 34237])).
% 26.19/17.94 tff(34240,plain,
% 26.19/17.94 (~v193(constB0)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34239, 34236, 24081])).
% 26.19/17.94 tff(34241,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB0) | v196(constB0) | (~v190(constB0)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB0) | v196(constB0) | (~v190(constB0)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34242,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB0) | v196(constB0) | (~v190(constB0)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34243,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB0) | v196(constB0) | (~v190(constB0))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34242, 34241])).
% 26.19/17.94 tff(34244,plain,
% 26.19/17.94 (~v190(constB0)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34243, 24051, 34240, 34233])).
% 26.19/17.94 tff(34245,plain,
% 26.19/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB0, constB1)) | v190(constB0) | (~v192(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB0, constB1)) | v190(constB0) | (~v192(constB1)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34246,plain,
% 26.19/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB0, constB1)) | v190(constB0) | (~v192(constB1)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34247,plain,
% 26.19/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB0, constB1)) | v190(constB0) | (~v192(constB1))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34246, 34245])).
% 26.19/17.94 tff(34248,plain,
% 26.19/17.94 (v190(constB0) | (~v192(constB1))),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34247, 24066, 850])).
% 26.19/17.94 tff(34249,plain,
% 26.19/17.94 (~v192(constB1)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34248, 34244])).
% 26.19/17.94 tff(34250,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB1) | (~v193(constB1)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB1) | (~v193(constB1)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34251,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB1) | (~v193(constB1)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34252,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB1) | (~v193(constB1))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34251, 34250])).
% 26.19/17.94 tff(34253,plain,
% 26.19/17.94 (~v193(constB1)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34252, 24081, 34249])).
% 26.19/17.94 tff(34254,plain,
% 26.19/17.94 ((~v163(constB0)) <=> (~v163(constB0))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34255,axiom,(~v163(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_6_1_1')).
% 26.19/17.94 tff(34256,plain,
% 26.19/17.94 (~v163(constB0)),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34255, 34254])).
% 26.19/17.94 tff(34257,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB0) | (~v184(constB0)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB0) | (~v184(constB0)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34258,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB0) | (~v184(constB0)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34259,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB0) | (~v184(constB0))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34258, 34257])).
% 26.19/17.94 tff(34260,plain,
% 26.19/17.94 (~v184(constB0)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34259, 34256, 23885])).
% 26.19/17.94 tff(34261,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB0) | (~v180(constB0)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB0) | (~v180(constB0)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34262,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB0) | (~v180(constB0)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34263,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB0) | (~v180(constB0))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34262, 34261])).
% 26.19/17.94 tff(34264,plain,
% 26.19/17.94 (~v180(constB0)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34263, 23899, 34260])).
% 26.19/17.94 tff(34265,plain,
% 26.19/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB0, constB1)) | v180(constB0) | (~v182(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB0, constB1)) | v180(constB0) | (~v182(constB1)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34266,plain,
% 26.19/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB0, constB1)) | v180(constB0) | (~v182(constB1)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34267,plain,
% 26.19/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB0, constB1)) | v180(constB0) | (~v182(constB1))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34266, 34265])).
% 26.19/17.94 tff(34268,plain,
% 26.19/17.94 (v180(constB0) | (~v182(constB1))),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34267, 23916, 850])).
% 26.19/17.94 tff(34269,plain,
% 26.19/17.94 (~v182(constB1)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34268, 34264])).
% 26.19/17.94 tff(34270,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB1) | (~v196(constB1)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB1) | (~v196(constB1)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34271,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB1) | (~v196(constB1)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34272,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB1) | (~v196(constB1))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34271, 34270])).
% 26.19/17.94 tff(34273,plain,
% 26.19/17.94 (~v196(constB1)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34272, 23931, 34269])).
% 26.19/17.94 tff(34274,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB1) | v196(constB1) | (~v190(constB1)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB1) | v196(constB1) | (~v190(constB1)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34275,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB1) | v196(constB1) | (~v190(constB1)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34276,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB1) | v196(constB1) | (~v190(constB1))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34275, 34274])).
% 26.19/17.94 tff(34277,plain,
% 26.19/17.94 (~v190(constB1)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34276, 24051, 34273, 34253])).
% 26.19/17.94 tff(34278,plain,
% 26.19/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB1, constB2)) | v190(constB1) | (~v192(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB1, constB2)) | v190(constB1) | (~v192(constB2)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34279,plain,
% 26.19/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB1, constB2)) | v190(constB1) | (~v192(constB2)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34280,plain,
% 26.19/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB1, constB2)) | v190(constB1) | (~v192(constB2))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34279, 34278])).
% 26.19/17.94 tff(34281,plain,
% 26.19/17.94 (v190(constB1) | (~v192(constB2))),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34280, 24066, 1072])).
% 26.19/17.94 tff(34282,plain,
% 26.19/17.94 (~v192(constB2)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34281, 34277])).
% 26.19/17.94 tff(34283,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB2) | (~v193(constB2)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB2) | (~v193(constB2)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34284,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB2) | (~v193(constB2)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34285,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB2) | (~v193(constB2))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34284, 34283])).
% 26.19/17.94 tff(34286,plain,
% 26.19/17.94 (~v193(constB2)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34285, 24081, 34282])).
% 26.19/17.94 tff(34287,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB2) | v196(constB2) | (~v190(constB2)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB2) | v196(constB2) | (~v190(constB2)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34288,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB2) | v196(constB2) | (~v190(constB2)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34289,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB2) | v196(constB2) | (~v190(constB2))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34288, 34287])).
% 26.19/17.94 tff(34290,plain,
% 26.19/17.94 (v196(constB2) | (~v190(constB2))),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34289, 24051, 34286])).
% 26.19/17.94 tff(34291,plain,
% 26.19/17.94 (~v190(constB2)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34290, 34226])).
% 26.19/17.94 tff(34292,plain,
% 26.19/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB2, constB3)) | v190(constB2) | (~v192(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB2, constB3)) | v190(constB2) | (~v192(constB3)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34293,plain,
% 26.19/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB2, constB3)) | v190(constB2) | (~v192(constB3)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34294,plain,
% 26.19/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB2, constB3)) | v190(constB2) | (~v192(constB3))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34293, 34292])).
% 26.19/17.94 tff(34295,plain,
% 26.19/17.94 (v190(constB2) | (~v192(constB3))),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34294, 24066, 1218])).
% 26.19/17.94 tff(34296,plain,
% 26.19/17.94 (~v192(constB3)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34295, 34291])).
% 26.19/17.94 tff(34297,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB3) | (~v193(constB3)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB3) | (~v193(constB3)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34298,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB3) | (~v193(constB3)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34299,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB3) | (~v193(constB3))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34298, 34297])).
% 26.19/17.94 tff(34300,plain,
% 26.19/17.94 (~v193(constB3)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34299, 24081, 34296])).
% 26.19/17.94 tff(34301,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB2)) | (~v185(constB2)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB2)) | (~v185(constB2)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34302,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB2)) | (~v185(constB2)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34303,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB2)) | (~v185(constB2))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34302, 34301])).
% 26.19/17.94 tff(34304,plain,
% 26.19/17.94 (~v185(constB2)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34303, 24010, 702])).
% 26.19/17.94 tff(34305,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB2) | (~v184(constB2)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB2) | (~v184(constB2)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34306,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB2) | (~v184(constB2)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34307,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB2) | (~v184(constB2))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34306, 34305])).
% 26.19/17.94 tff(34308,plain,
% 26.19/17.94 (~v184(constB2)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34307, 24024, 34304])).
% 26.19/17.94 tff(34309,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB2) | (~v180(constB2)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB2) | (~v180(constB2)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34310,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB2) | (~v180(constB2)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34311,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB2) | (~v180(constB2))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34310, 34309])).
% 26.19/17.94 tff(34312,plain,
% 26.19/17.94 (~v180(constB2)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34311, 23899, 34308])).
% 26.19/17.94 tff(34313,plain,
% 26.19/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB2, constB3)) | v180(constB2) | (~v182(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB2, constB3)) | v180(constB2) | (~v182(constB3)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34314,plain,
% 26.19/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB2, constB3)) | v180(constB2) | (~v182(constB3)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34315,plain,
% 26.19/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB2, constB3)) | v180(constB2) | (~v182(constB3))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34314, 34313])).
% 26.19/17.94 tff(34316,plain,
% 26.19/17.94 (v180(constB2) | (~v182(constB3))),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34315, 23916, 1218])).
% 26.19/17.94 tff(34317,plain,
% 26.19/17.94 (~v182(constB3)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34316, 34312])).
% 26.19/17.94 tff(34318,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB3) | (~v196(constB3)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB3) | (~v196(constB3)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34319,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB3) | (~v196(constB3)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34320,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB3) | (~v196(constB3))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34319, 34318])).
% 26.19/17.94 tff(34321,plain,
% 26.19/17.94 (~v196(constB3)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34320, 23931, 34317])).
% 26.19/17.94 tff(34322,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB3) | v196(constB3) | (~v190(constB3)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB3) | v196(constB3) | (~v190(constB3)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34323,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB3) | v196(constB3) | (~v190(constB3)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34324,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB3) | v196(constB3) | (~v190(constB3))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34323, 34322])).
% 26.19/17.94 tff(34325,plain,
% 26.19/17.94 (v193(constB3) | (~v190(constB3))),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34324, 24051, 34321])).
% 26.19/17.94 tff(34326,plain,
% 26.19/17.94 (~v190(constB3)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34325, 34300])).
% 26.19/17.94 tff(34327,plain,
% 26.19/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB3, constB4)) | v190(constB3) | (~v192(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB3, constB4)) | v190(constB3) | (~v192(constB4)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34328,plain,
% 26.19/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB3, constB4)) | v190(constB3) | (~v192(constB4)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34329,plain,
% 26.19/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB3, constB4)) | v190(constB3) | (~v192(constB4))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34328, 34327])).
% 26.19/17.94 tff(34330,plain,
% 26.19/17.94 (v190(constB3) | (~v192(constB4))),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34329, 24066, 1445])).
% 26.19/17.94 tff(34331,plain,
% 26.19/17.94 (~v192(constB4)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34330, 34326])).
% 26.19/17.94 tff(34332,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB4) | (~v193(constB4)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB4) | (~v193(constB4)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34333,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB4) | (~v193(constB4)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34334,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB4) | (~v193(constB4))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34333, 34332])).
% 26.19/17.94 tff(34335,plain,
% 26.19/17.94 (~v193(constB4)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34334, 24081, 34331])).
% 26.19/17.94 tff(34336,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB4) | v196(constB4) | (~v190(constB4)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB4) | v196(constB4) | (~v190(constB4)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34337,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB4) | v196(constB4) | (~v190(constB4)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34338,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB4) | v196(constB4) | (~v190(constB4))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34337, 34336])).
% 26.19/17.94 tff(34339,plain,
% 26.19/17.94 (v196(constB4) | (~v190(constB4))),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34338, 24051, 34335])).
% 26.19/17.94 tff(34340,plain,
% 26.19/17.94 (~v190(constB4)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34339, 34125])).
% 26.19/17.94 tff(34341,plain,
% 26.19/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB4, constB5)) | v190(constB4) | (~v192(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB4, constB5)) | v190(constB4) | (~v192(constB5)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34342,plain,
% 26.19/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB4, constB5)) | v190(constB4) | (~v192(constB5)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34343,plain,
% 26.19/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB4, constB5)) | v190(constB4) | (~v192(constB5))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34342, 34341])).
% 26.19/17.94 tff(34344,plain,
% 26.19/17.94 (v190(constB4) | (~v192(constB5))),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34343, 24066, 1511])).
% 26.19/17.94 tff(34345,plain,
% 26.19/17.94 (~v192(constB5)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34344, 34340])).
% 26.19/17.94 tff(34346,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB5) | (~v193(constB5)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB5) | (~v193(constB5)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34347,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB5) | (~v193(constB5)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34348,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB5) | (~v193(constB5))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34347, 34346])).
% 26.19/17.94 tff(34349,plain,
% 26.19/17.94 (~v193(constB5)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34348, 24081, 34345])).
% 26.19/17.94 tff(34350,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB4)) | (~v185(constB4)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB4)) | (~v185(constB4)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34351,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB4)) | (~v185(constB4)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34352,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB4)) | (~v185(constB4))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34351, 34350])).
% 26.19/17.94 tff(34353,plain,
% 26.19/17.94 (~v185(constB4)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34352, 24010, 592])).
% 26.19/17.94 tff(34354,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB4) | (~v184(constB4)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB4) | (~v184(constB4)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34355,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB4) | (~v184(constB4)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34356,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB4) | (~v184(constB4))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34355, 34354])).
% 26.19/17.94 tff(34357,plain,
% 26.19/17.94 (~v184(constB4)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34356, 24024, 34353])).
% 26.19/17.94 tff(34358,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB4) | (~v180(constB4)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB4) | (~v180(constB4)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34359,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB4) | (~v180(constB4)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34360,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB4) | (~v180(constB4))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34359, 34358])).
% 26.19/17.94 tff(34361,plain,
% 26.19/17.94 (~v180(constB4)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34360, 23899, 34357])).
% 26.19/17.94 tff(34362,plain,
% 26.19/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB4, constB5)) | v180(constB4) | (~v182(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB4, constB5)) | v180(constB4) | (~v182(constB5)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34363,plain,
% 26.19/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB4, constB5)) | v180(constB4) | (~v182(constB5)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34364,plain,
% 26.19/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB4, constB5)) | v180(constB4) | (~v182(constB5))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34363, 34362])).
% 26.19/17.94 tff(34365,plain,
% 26.19/17.94 (v180(constB4) | (~v182(constB5))),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34364, 23916, 1511])).
% 26.19/17.94 tff(34366,plain,
% 26.19/17.94 (~v182(constB5)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34365, 34361])).
% 26.19/17.94 tff(34367,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB5) | (~v196(constB5)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB5) | (~v196(constB5)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34368,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | (v182(constB5) | (~v196(constB5)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34369,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v196(VarCurr)))) | v182(constB5) | (~v196(constB5))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34368, 34367])).
% 26.19/17.94 tff(34370,plain,
% 26.19/17.94 (~v196(constB5)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34369, 23931, 34366])).
% 26.19/17.94 tff(34371,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB5) | v196(constB5) | (~v190(constB5)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB5) | v196(constB5) | (~v190(constB5)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34372,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB5) | v196(constB5) | (~v190(constB5)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34373,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB5) | v196(constB5) | (~v190(constB5))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34372, 34371])).
% 26.19/17.94 tff(34374,plain,
% 26.19/17.94 (v193(constB5) | (~v190(constB5))),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34373, 24051, 34370])).
% 26.19/17.94 tff(34375,plain,
% 26.19/17.94 (~v190(constB5)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34374, 34349])).
% 26.19/17.94 tff(34376,plain,
% 26.19/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB5, constB6)) | v190(constB5) | (~v192(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB5, constB6)) | v190(constB5) | (~v192(constB6)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34377,plain,
% 26.19/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB5, constB6)) | v190(constB5) | (~v192(constB6)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34378,plain,
% 26.19/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB5, constB6)) | v190(constB5) | (~v192(constB6))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34377, 34376])).
% 26.19/17.94 tff(34379,plain,
% 26.19/17.94 (v190(constB5) | (~v192(constB6))),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34378, 24066, 1691])).
% 26.19/17.94 tff(34380,plain,
% 26.19/17.94 (~v192(constB6)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34379, 34375])).
% 26.19/17.94 tff(34381,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB6) | (~v193(constB6)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB6) | (~v193(constB6)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34382,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | (v192(constB6) | (~v193(constB6)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34383,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v193(VarCurr)))) | v192(constB6) | (~v193(constB6))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34382, 34381])).
% 26.19/17.94 tff(34384,plain,
% 26.19/17.94 (~v193(constB6)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34383, 24081, 34380])).
% 26.19/17.94 tff(34385,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB6) | v196(constB6) | (~v190(constB6)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB6) | v196(constB6) | (~v190(constB6)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34386,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | (v193(constB6) | v196(constB6) | (~v190(constB6)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34387,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v193(VarCurr) | v196(VarCurr) | (~v190(VarCurr)))) | v193(constB6) | v196(constB6) | (~v190(constB6))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34386, 34385])).
% 26.19/17.94 tff(34388,plain,
% 26.19/17.94 (v196(constB6) | (~v190(constB6))),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34387, 24051, 34384])).
% 26.19/17.94 tff(34389,plain,
% 26.19/17.94 (~v190(constB6)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34388, 34056])).
% 26.19/17.94 tff(34390,plain,
% 26.19/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB6, constB7)) | v190(constB6) | (~v192(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB6, constB7)) | v190(constB6) | (~v192(constB7)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34391,plain,
% 26.19/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | ((~nextState(constB6, constB7)) | v190(constB6) | (~v192(constB7)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34392,plain,
% 26.19/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v190(VarCurr) | (~v192(VarNext)))) | (~nextState(constB6, constB7)) | v190(constB6) | (~v192(constB7))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34391, 34390])).
% 26.19/17.94 tff(34393,plain,
% 26.19/17.94 (v190(constB6) | (~v192(constB7))),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34392, 24066, 1856])).
% 26.19/17.94 tff(34394,plain,
% 26.19/17.94 (~v192(constB7)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34393, 34389])).
% 26.19/17.94 tff(34395,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB7) | (~v201(constB7)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB7) | (~v201(constB7)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34396,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB7) | (~v201(constB7)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34397,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB7) | (~v201(constB7))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34396, 34395])).
% 26.19/17.94 tff(34398,plain,
% 26.19/17.94 (~v201(constB7)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34397, 24108, 34394])).
% 26.19/17.94 tff(34399,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB6)) | (~v185(constB6)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB6)) | (~v185(constB6)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34400,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB6)) | (~v185(constB6)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34401,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB6)) | (~v185(constB6))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34400, 34399])).
% 26.19/17.94 tff(34402,plain,
% 26.19/17.94 (~v185(constB6)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34401, 24010, 339])).
% 26.19/17.94 tff(34403,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB6) | (~v184(constB6)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB6) | (~v184(constB6)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34404,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB6) | (~v184(constB6)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34405,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB6) | (~v184(constB6))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34404, 34403])).
% 26.19/17.94 tff(34406,plain,
% 26.19/17.94 (~v184(constB6)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34405, 24024, 34402])).
% 26.19/17.94 tff(34407,plain,
% 26.19/17.94 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB6) | (~v180(constB6)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB6) | (~v180(constB6)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34408,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB6) | (~v180(constB6)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34409,plain,
% 26.19/17.94 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB6) | (~v180(constB6))),
% 26.19/17.94 inference(modus_ponens,[status(thm)],[34408, 34407])).
% 26.19/17.94 tff(34410,plain,
% 26.19/17.94 (~v180(constB6)),
% 26.19/17.94 inference(unit_resolution,[status(thm)],[34409, 23899, 34406])).
% 26.19/17.94 tff(34411,plain,
% 26.19/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB6, constB7)) | v180(constB6) | (~v182(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB6, constB7)) | v180(constB6) | (~v182(constB7)))),
% 26.19/17.94 inference(rewrite,[status(thm)],[])).
% 26.19/17.94 tff(34412,plain,
% 26.19/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB6, constB7)) | v180(constB6) | (~v182(constB7)))),
% 26.19/17.94 inference(quant_inst,[status(thm)],[])).
% 26.19/17.94 tff(34413,plain,
% 26.19/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB6, constB7)) | v180(constB6) | (~v182(constB7))),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34412, 34411])).
% 26.19/17.95 tff(34414,plain,
% 26.19/17.95 (v180(constB6) | (~v182(constB7))),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34413, 23916, 1856])).
% 26.19/17.95 tff(34415,plain,
% 26.19/17.95 (~v182(constB7)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34414, 34410])).
% 26.19/17.95 tff(34416,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB7) | (~v205(constB7)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB7) | (~v205(constB7)))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34417,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB7) | (~v205(constB7)))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34418,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB7) | (~v205(constB7))),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34417, 34416])).
% 26.19/17.95 tff(34419,plain,
% 26.19/17.95 (~v205(constB7)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34418, 24139, 34415])).
% 26.19/17.95 tff(34420,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB7) | v205(constB7) | (~v200(constB7)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB7) | v205(constB7) | (~v200(constB7)))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34421,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB7) | v205(constB7) | (~v200(constB7)))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34422,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB7) | v205(constB7) | (~v200(constB7))),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34421, 34420])).
% 26.19/17.95 tff(34423,plain,
% 26.19/17.95 (v201(constB7) | (~v200(constB7))),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34422, 24153, 34419])).
% 26.19/17.95 tff(34424,plain,
% 26.19/17.95 (~v200(constB7)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34423, 34398])).
% 26.19/17.95 tff(34425,plain,
% 26.19/17.95 ($false),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34424, 33985])).
% 26.19/17.95 tff(34426,plain,(~(constB7 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.95 tff(34427,assumption,(constB23 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.95 tff(34428,plain,
% 26.19/17.95 (v200(constB23) <=> v200(sK0_VarCurr)),
% 26.19/17.95 inference(monotonicity,[status(thm)],[34427])).
% 26.19/17.95 tff(34429,plain,
% 26.19/17.95 (v200(sK0_VarCurr) <=> v200(constB23)),
% 26.19/17.95 inference(symmetry,[status(thm)],[34428])).
% 26.19/17.95 tff(34430,plain,
% 26.19/17.95 (v200(constB23)),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[788, 34429])).
% 26.19/17.95 tff(34431,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB23) | (~v201(constB23)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB23) | (~v201(constB23)))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34432,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | (v192(constB23) | (~v201(constB23)))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34433,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v201(VarCurr)))) | v192(constB23) | (~v201(constB23))),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34432, 34431])).
% 26.19/17.95 tff(34434,plain,
% 26.19/17.95 (~v201(constB23)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34433, 24108, 32921])).
% 26.19/17.95 tff(34435,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB23) | (~v205(constB23)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB23) | (~v205(constB23)))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34436,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB23) | (~v205(constB23)))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34437,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB23) | (~v205(constB23))),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34436, 34435])).
% 26.19/17.95 tff(34438,plain,
% 26.19/17.95 (~v205(constB23)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34437, 24139, 32942])).
% 26.19/17.95 tff(34439,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB23) | v205(constB23) | (~v200(constB23)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB23) | v205(constB23) | (~v200(constB23)))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34440,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB23) | v205(constB23) | (~v200(constB23)))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34441,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB23) | v205(constB23) | (~v200(constB23))),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34440, 34439])).
% 26.19/17.95 tff(34442,plain,
% 26.19/17.95 (v201(constB23) | (~v200(constB23))),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34441, 24153, 34438])).
% 26.19/17.95 tff(34443,plain,
% 26.19/17.95 (~v200(constB23)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34442, 34434])).
% 26.19/17.95 tff(34444,plain,
% 26.19/17.95 ($false),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34443, 34430])).
% 26.19/17.95 tff(34445,plain,(~(constB23 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.95 tff(34446,assumption,(constB159 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.95 tff(34447,plain,
% 26.19/17.95 (v200(constB159) <=> v200(sK0_VarCurr)),
% 26.19/17.95 inference(monotonicity,[status(thm)],[34446])).
% 26.19/17.95 tff(34448,plain,
% 26.19/17.95 (v200(sK0_VarCurr) <=> v200(constB159)),
% 26.19/17.95 inference(symmetry,[status(thm)],[34447])).
% 26.19/17.95 tff(34449,plain,
% 26.19/17.95 (v200(constB159)),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[788, 34448])).
% 26.19/17.95 tff(34450,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB159, bitIndex2)) | v90(constB159, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB159, bitIndex2)) | v90(constB159, bitIndex2))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34451,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB159, bitIndex2)) | v90(constB159, bitIndex2))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34452,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB159, bitIndex2)) | v90(constB159, bitIndex2)),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34451, 34450])).
% 26.19/17.95 tff(34453,plain,
% 26.19/17.95 (~v88(constB159, bitIndex2)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34452, 28577, 24693])).
% 26.19/17.95 tff(34454,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB159, bitIndex0)) | v90(constB159, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB159, bitIndex0)) | v90(constB159, bitIndex0))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34455,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB159, bitIndex0)) | v90(constB159, bitIndex0))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34456,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB159, bitIndex0)) | v90(constB159, bitIndex0)),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34455, 34454])).
% 26.19/17.95 tff(34457,plain,
% 26.19/17.95 (~v88(constB159, bitIndex0)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34456, 23809, 24758])).
% 26.19/17.95 tff(34458,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB159, bitIndex1)) | v88(constB159, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB159, bitIndex1)) | v88(constB159, bitIndex1))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34459,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB159, bitIndex1)) | v88(constB159, bitIndex1))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34460,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB159, bitIndex1)) | v88(constB159, bitIndex1)),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34459, 34458])).
% 26.19/17.95 tff(34461,plain,
% 26.19/17.95 (v88(constB159, bitIndex1)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34460, 28592, 24724])).
% 26.19/17.95 tff(34462,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB159, bitIndex0) | v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v143(constB159))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB159, bitIndex0) | v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v143(constB159))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34463,plain,
% 26.19/17.95 ((v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex0) | v143(constB159)) <=> (v88(constB159, bitIndex0) | v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v143(constB159))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34464,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex0) | v143(constB159))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB159, bitIndex0) | v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v143(constB159)))),
% 26.19/17.95 inference(monotonicity,[status(thm)],[34463])).
% 26.19/17.95 tff(34465,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex0) | v143(constB159))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB159, bitIndex0) | v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v143(constB159))),
% 26.19/17.95 inference(transitivity,[status(thm)],[34464, 34462])).
% 26.19/17.95 tff(34466,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex0) | v143(constB159))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34467,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB159, bitIndex0) | v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v143(constB159)),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34466, 34465])).
% 26.19/17.95 tff(34468,plain,
% 26.19/17.95 (v143(constB159)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34467, 28606, 34461, 34457, 34453])).
% 26.19/17.95 tff(34469,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB159)) | v142(constB159))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB159)) | v142(constB159))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34470,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB159)) | v142(constB159))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34471,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB159)) | v142(constB159)),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34470, 34469])).
% 26.19/17.95 tff(34472,plain,
% 26.19/17.95 (v142(constB159)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34471, 28620, 34468])).
% 26.19/17.95 tff(34473,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB159)) | v148(constB159))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB159)) | v148(constB159))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34474,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB159)) | v148(constB159))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34475,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB159)) | v148(constB159)),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34474, 34473])).
% 26.19/17.95 tff(34476,plain,
% 26.19/17.95 (v148(constB159)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34475, 29217, 34472])).
% 26.19/17.95 tff(34477,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB159)) | v167(constB159))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB159)) | v167(constB159))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34478,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB159)) | v167(constB159))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34479,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB159)) | v167(constB159)),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34478, 34477])).
% 26.19/17.95 tff(34480,plain,
% 26.19/17.95 (v167(constB159)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34479, 28631, 34472])).
% 26.19/17.95 tff(34481,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB159) | (~v167(constB159)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB159) | (~v167(constB159)))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34482,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB159) | (~v167(constB159)))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34483,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB159) | (~v167(constB159))),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34482, 34481])).
% 26.19/17.95 tff(34484,plain,
% 26.19/17.95 (v166(constB159)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34483, 28645, 34480])).
% 26.19/17.95 tff(34485,plain,
% 26.19/17.95 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB159) | (~v166(constB159)) | (~v148(constB159)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB159) | (~v166(constB159)) | (~v148(constB159)))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34486,plain,
% 26.19/17.95 (((~v148(constB159)) | v86(constB159) | (~v166(constB159))) <=> (v86(constB159) | (~v166(constB159)) | (~v148(constB159)))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34487,plain,
% 26.19/17.95 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB159)) | v86(constB159) | (~v166(constB159)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB159) | (~v166(constB159)) | (~v148(constB159))))),
% 26.19/17.95 inference(monotonicity,[status(thm)],[34486])).
% 26.19/17.95 tff(34488,plain,
% 26.19/17.95 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB159)) | v86(constB159) | (~v166(constB159)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB159) | (~v166(constB159)) | (~v148(constB159)))),
% 26.19/17.95 inference(transitivity,[status(thm)],[34487, 34485])).
% 26.19/17.95 tff(34489,plain,
% 26.19/17.95 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB159)) | v86(constB159) | (~v166(constB159)))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34490,plain,
% 26.19/17.95 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB159) | (~v166(constB159)) | (~v148(constB159))),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34489, 34488])).
% 26.19/17.95 tff(34491,plain,
% 26.19/17.95 (v86(constB159)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34490, 29242, 34484, 34476])).
% 26.19/17.95 tff(34492,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | ((~v203(constB159)) | (~v86(constB159)))) <=> ((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | (~v203(constB159)) | (~v86(constB159)))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34493,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | ((~v203(constB159)) | (~v86(constB159)))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34494,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v203(VarCurr)) | (~v86(VarCurr)))) | (~v203(constB159)) | (~v86(constB159))),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34493, 34492])).
% 26.19/17.95 tff(34495,plain,
% 26.19/17.95 (~v203(constB159)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34494, 29256, 34491])).
% 26.19/17.95 tff(34496,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | (v203(constB159) | (~v202(constB159)))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | v203(constB159) | (~v202(constB159)))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34497,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | (v203(constB159) | (~v202(constB159)))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34498,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v203(VarCurr) | (~v202(VarCurr)))) | v203(constB159) | (~v202(constB159))),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34497, 34496])).
% 26.19/17.95 tff(34499,plain,
% 26.19/17.95 (~v202(constB159)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34498, 29270, 34495])).
% 26.19/17.95 tff(34500,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | (v202(constB159) | (~v201(constB159)))) <=> ((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | v202(constB159) | (~v201(constB159)))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34501,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | (v202(constB159) | (~v201(constB159)))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34502,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v202(VarCurr) | (~v201(VarCurr)))) | v202(constB159) | (~v201(constB159))),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34501, 34500])).
% 26.19/17.95 tff(34503,plain,
% 26.19/17.95 (~v201(constB159)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34502, 29284, 34499])).
% 26.19/17.95 tff(34504,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB158)) | (~v185(constB158)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB158)) | (~v185(constB158)))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34505,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | ((~v1(constB158)) | (~v185(constB158)))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34506,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v185(VarCurr)))) | (~v1(constB158)) | (~v185(constB158))),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34505, 34504])).
% 26.19/17.95 tff(34507,plain,
% 26.19/17.95 (~v185(constB158)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34506, 24010, 218])).
% 26.19/17.95 tff(34508,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB158) | (~v184(constB158)))) <=> ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB158) | (~v184(constB158)))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34509,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | (v185(constB158) | (~v184(constB158)))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34510,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v185(VarCurr) | (~v184(VarCurr)))) | v185(constB158) | (~v184(constB158))),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34509, 34508])).
% 26.19/17.95 tff(34511,plain,
% 26.19/17.95 (~v184(constB158)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34510, 24024, 34507])).
% 26.19/17.95 tff(34512,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB158) | (~v180(constB158)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB158) | (~v180(constB158)))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34513,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB158) | (~v180(constB158)))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34514,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | v184(constB158) | (~v180(constB158))),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34513, 34512])).
% 26.19/17.95 tff(34515,plain,
% 26.19/17.95 (~v180(constB158)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34514, 23899, 34511])).
% 26.19/17.95 tff(34516,plain,
% 26.19/17.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB158, constB159)) | v180(constB158) | (~v182(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB158, constB159)) | v180(constB158) | (~v182(constB159)))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34517,plain,
% 26.19/17.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | ((~nextState(constB158, constB159)) | v180(constB158) | (~v182(constB159)))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34518,plain,
% 26.19/17.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarCurr) | (~v182(VarNext)))) | (~nextState(constB158, constB159)) | v180(constB158) | (~v182(constB159))),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34517, 34516])).
% 26.19/17.95 tff(34519,plain,
% 26.19/17.95 (v180(constB158) | (~v182(constB159))),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34518, 23916, 24672])).
% 26.19/17.95 tff(34520,plain,
% 26.19/17.95 (~v182(constB159)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34519, 34515])).
% 26.19/17.95 tff(34521,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB159) | (~v205(constB159)))) <=> ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB159) | (~v205(constB159)))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34522,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | (v182(constB159) | (~v205(constB159)))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34523,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v182(VarCurr) | (~v205(VarCurr)))) | v182(constB159) | (~v205(constB159))),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34522, 34521])).
% 26.19/17.95 tff(34524,plain,
% 26.19/17.95 (~v205(constB159)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34523, 24139, 34520])).
% 26.19/17.95 tff(34525,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB159) | v205(constB159) | (~v200(constB159)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB159) | v205(constB159) | (~v200(constB159)))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34526,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | (v201(constB159) | v205(constB159) | (~v200(constB159)))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34527,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v201(VarCurr) | v205(VarCurr) | (~v200(VarCurr)))) | v201(constB159) | v205(constB159) | (~v200(constB159))),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34526, 34525])).
% 26.19/17.95 tff(34528,plain,
% 26.19/17.95 (v201(constB159) | (~v200(constB159))),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34527, 24153, 34524])).
% 26.19/17.95 tff(34529,plain,
% 26.19/17.95 (~v200(constB159)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34528, 34503])).
% 26.19/17.95 tff(34530,plain,
% 26.19/17.95 ($false),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34529, 34449])).
% 26.19/17.95 tff(34531,plain,(~(constB159 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.95 tff(34532,assumption,(constB95 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.95 tff(34533,plain,
% 26.19/17.95 (v200(constB95) <=> v200(sK0_VarCurr)),
% 26.19/17.95 inference(monotonicity,[status(thm)],[34532])).
% 26.19/17.95 tff(34534,plain,
% 26.19/17.95 (v200(sK0_VarCurr) <=> v200(constB95)),
% 26.19/17.95 inference(symmetry,[status(thm)],[34533])).
% 26.19/17.95 tff(34535,plain,
% 26.19/17.95 (v200(constB95)),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[788, 34534])).
% 26.19/17.95 tff(34536,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB93, bitIndex2)) | v88(constB93, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB93, bitIndex2)) | v88(constB93, bitIndex2))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34537,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB93, bitIndex2)) | v88(constB93, bitIndex2))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34538,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB93, bitIndex2)) | v88(constB93, bitIndex2)),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34537, 34536])).
% 26.19/17.95 tff(34539,plain,
% 26.19/17.95 (v88(constB93, bitIndex2)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34538, 23683, 16066])).
% 26.19/17.95 tff(34540,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v139(constB93)) | (~v88(constB93, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v139(constB93)) | (~v88(constB93, bitIndex2)))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34541,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v139(constB93)) | (~v88(constB93, bitIndex2)))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34542,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v139(constB93)) | (~v88(constB93, bitIndex2))),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34541, 34540])).
% 26.19/17.95 tff(34543,plain,
% 26.19/17.95 (~v139(constB93)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34542, 23694, 34539])).
% 26.19/17.95 tff(34544,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v140(constB93)) | (~v88(constB93, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v140(constB93)) | (~v88(constB93, bitIndex2)))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34545,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | ((~v140(constB93)) | (~v88(constB93, bitIndex2)))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34546,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, bitIndex2)))) | (~v140(constB93)) | (~v88(constB93, bitIndex2))),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34545, 34544])).
% 26.19/17.95 tff(34547,plain,
% 26.19/17.95 (~v140(constB93)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34546, 23705, 34539])).
% 26.19/17.95 tff(34548,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB93) | v140(constB93) | (~v170(constB93)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB93) | v140(constB93) | (~v170(constB93)))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34549,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB93) | v140(constB93) | (~v170(constB93)))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34550,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB93) | v140(constB93) | (~v170(constB93))),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34549, 34548])).
% 26.19/17.95 tff(34551,plain,
% 26.19/17.95 (~v170(constB93)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34550, 23719, 34547, 34543])).
% 26.19/17.95 tff(34552,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB93, bitIndex1)) | v90(constB93, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB93, bitIndex1)) | v90(constB93, bitIndex1))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34553,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB93, bitIndex1)) | v90(constB93, bitIndex1))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34554,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB93, bitIndex1)) | v90(constB93, bitIndex1)),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34553, 34552])).
% 26.19/17.95 tff(34555,plain,
% 26.19/17.95 (~v88(constB93, bitIndex1)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34554, 23764, 16100])).
% 26.19/17.95 tff(34556,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB93, bitIndex0)) | v90(constB93, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB93, bitIndex0)) | v90(constB93, bitIndex0))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34557,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB93, bitIndex0)) | v90(constB93, bitIndex0))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34558,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB93, bitIndex0)) | v90(constB93, bitIndex0)),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34557, 34556])).
% 26.19/17.95 tff(34559,plain,
% 26.19/17.95 (~v88(constB93, bitIndex0)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34558, 23809, 16134])).
% 26.19/17.95 tff(34560,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)) | v146(constB93))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)) | v146(constB93))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34561,plain,
% 26.19/17.95 (((~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1) | v88(constB93, bitIndex0) | v146(constB93)) <=> (v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)) | v146(constB93))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34562,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1) | v88(constB93, bitIndex0) | v146(constB93))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)) | v146(constB93)))),
% 26.19/17.95 inference(monotonicity,[status(thm)],[34561])).
% 26.19/17.95 tff(34563,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1) | v88(constB93, bitIndex0) | v146(constB93))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)) | v146(constB93))),
% 26.19/17.95 inference(transitivity,[status(thm)],[34562, 34560])).
% 26.19/17.95 tff(34564,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1) | v88(constB93, bitIndex0) | v146(constB93))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34565,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)) | v146(constB93)),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34564, 34563])).
% 26.19/17.95 tff(34566,plain,
% 26.19/17.95 (v146(constB93)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34565, 23823, 34539, 34559, 34555])).
% 26.19/17.95 tff(34567,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB93) | (~v146(constB93)))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB93) | (~v146(constB93)))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34568,plain,
% 26.19/17.95 (((~v146(constB93)) | v145(constB93)) <=> (v145(constB93) | (~v146(constB93)))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34569,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB93)) | v145(constB93))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB93) | (~v146(constB93))))),
% 26.19/17.95 inference(monotonicity,[status(thm)],[34568])).
% 26.19/17.95 tff(34570,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB93)) | v145(constB93))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB93) | (~v146(constB93)))),
% 26.19/17.95 inference(transitivity,[status(thm)],[34569, 34567])).
% 26.19/17.95 tff(34571,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB93)) | v145(constB93))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34572,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB93) | (~v146(constB93))),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34571, 34570])).
% 26.19/17.95 tff(34573,plain,
% 26.19/17.95 (v145(constB93)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34572, 23837, 34566])).
% 26.19/17.95 tff(34574,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | (v166(constB93) | (~v145(constB93)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB93) | (~v145(constB93)))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34575,plain,
% 26.19/17.95 (((~v145(constB93)) | v166(constB93)) <=> (v166(constB93) | (~v145(constB93)))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34576,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB93)) | v166(constB93))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | (v166(constB93) | (~v145(constB93))))),
% 26.19/17.95 inference(monotonicity,[status(thm)],[34575])).
% 26.19/17.95 tff(34577,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB93)) | v166(constB93))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB93) | (~v145(constB93)))),
% 26.19/17.95 inference(transitivity,[status(thm)],[34576, 34574])).
% 26.19/17.95 tff(34578,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | ((~v145(constB93)) | v166(constB93))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34579,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v166(VarCurr))) | v166(constB93) | (~v145(constB93))),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34578, 34577])).
% 26.19/17.95 tff(34580,plain,
% 26.19/17.95 (v166(constB93)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34579, 23851, 34573])).
% 26.19/17.95 tff(34581,plain,
% 26.19/17.95 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB93)) | (~v166(constB93)) | v170(constB93))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB93)) | (~v166(constB93)) | v170(constB93))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34582,plain,
% 26.19/17.95 (((~v166(constB93)) | v170(constB93) | (~v163(constB93))) <=> ((~v163(constB93)) | (~v166(constB93)) | v170(constB93))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34583,plain,
% 26.19/17.95 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB93)) | v170(constB93) | (~v163(constB93)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB93)) | (~v166(constB93)) | v170(constB93)))),
% 26.19/17.95 inference(monotonicity,[status(thm)],[34582])).
% 26.19/17.95 tff(34584,plain,
% 26.19/17.95 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB93)) | v170(constB93) | (~v163(constB93)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB93)) | (~v166(constB93)) | v170(constB93))),
% 26.19/17.95 inference(transitivity,[status(thm)],[34583, 34581])).
% 26.19/17.95 tff(34585,plain,
% 26.19/17.95 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB93)) | v170(constB93) | (~v163(constB93)))),
% 26.19/17.95 inference(quant_inst,[status(thm)],[])).
% 26.19/17.95 tff(34586,plain,
% 26.19/17.95 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB93)) | (~v166(constB93)) | v170(constB93)),
% 26.19/17.95 inference(modus_ponens,[status(thm)],[34585, 34584])).
% 26.19/17.95 tff(34587,plain,
% 26.19/17.95 (~v163(constB93)),
% 26.19/17.95 inference(unit_resolution,[status(thm)],[34586, 23868, 34580, 34551])).
% 26.19/17.95 tff(34588,plain,
% 26.19/17.95 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB93) | (~v184(constB93)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB93) | (~v184(constB93)))),
% 26.19/17.95 inference(rewrite,[status(thm)],[])).
% 26.19/17.95 tff(34589,plain,
% 26.19/17.95 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | (v163(constB93) | (~v184(constB93)))),
% 26.19/17.96 inference(quant_inst,[status(thm)],[])).
% 26.19/17.96 tff(34590,plain,
% 26.19/17.96 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v184(VarCurr)))) | v163(constB93) | (~v184(constB93))),
% 26.19/17.96 inference(modus_ponens,[status(thm)],[34589, 34588])).
% 26.19/17.96 tff(34591,plain,
% 26.19/17.96 (~v184(constB93)),
% 26.19/17.96 inference(unit_resolution,[status(thm)],[34590, 23885, 34587])).
% 26.19/17.96 tff(34592,plain,
% 26.19/17.96 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v180(VarCurr)))) | (v184(constB93) | (~v180(constB93)))) <